Merge branch 'v5.x' - kfr - Fast, modern C++ DSP framework, FFT, Sample Rate Conversion, FIR/IIR/Biquad Filters (SSE, AVX, AVX-512, ARM NEON)

commit 5fec7886fcc03b2de7c79833fd808daeb3107e94
parent bb4f29f755300a9f7c1d0f1286a78ca1de0f7654
Author: d.levin256@gmail.com <d.levin256@gmail.com>
Date:   Wed, 30 Nov 2022 10:28:08 +0000

Merge branch 'v5.x'

Diffstat:
M CMakeLists.txt  | 119 ++++++++++++++++++++++++++++++++++++++++++++++---------------------------------
A KNOWNBUGS.md  | 9 +++++++++
M README.md  | 395 ++++++++++++++-----------------------------------------------------------------
M azure-pipelines.yml  | 181 +++++++++++++++++++++++++++++++++++--------------------------------------------
M capi/CMakeLists.txt  | 3 +++
M ci/build_capi_win.cmd  | 2 +-
M ci/run.cmd  | 2 +-
M cmake/aarch64.cmake  | 4 ++--
M cmake/arm.cmake  | 4 ++--
A docs/README.md  | 1 +
M docs/cxxdox.yml  | 9 ++++++---
A docs/docs/basics.md  | 334 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/capi.md  | 27 +++++++++++++++++++++++++++
A docs/docs/conv_reverb.md  | 70 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M docs/docs/convert_stereo.md  | 5 ++---
M docs/docs/convolution.md  | 123 +++++++++++++++++++------------------------------------------------------------
M docs/docs/css/fix.css  | 31 ++++++++++++++++++++-----------
M docs/docs/dft.md  | 2 +-
M docs/docs/expressions.md  | 181 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------
M docs/docs/file_support.md  | 3 ++-
M docs/docs/fir.md  | 5 ++---
M docs/docs/fir_gallery.md  | 19 +++++++++----------
A docs/docs/iir_gallery.md  | 213 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/bessel_lowpass12.svg  | 4065 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/bessel_lowpass24.svg  | 4983 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/bessel_lowpass6.svg  | 3017 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_bandpass12.svg  | 4844 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_bandpass4.svg  | 2878 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_bandstop12.svg  | 3068 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_highpass12.svg  | 2935 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_lowpass12.svg  | 4700 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/butterworth_lowpass24.svg  | 4527 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/chebyshev1_lowpass8.svg  | 5196 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/chebyshev2_lowpass8.svg  | 3153 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A docs/docs/img/src-kfr1.png  | 0 
A docs/docs/img/src-kfr2.png  | 0 
M docs/docs/img/window_bartlett.svg  | 1531 ++++++++++++++++++++++++++++++++++++++++---------------------------------------
M docs/docs/img/window_bartlett_hann.svg  | 1536 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_blackman.svg  | 1520 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_blackman_harris.svg  | 1632 +++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_bohman.svg  | 1518 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_cosine.svg  | 1536 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
A docs/docs/img/window_cosine_np.svg  | 2224 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M docs/docs/img/window_flattop.svg  | 1742 ++++++++++++++++++++++++++++++++++++++++---------------------------------------
M docs/docs/img/window_gaussian.svg  | 1498 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_hamming.svg  | 1517 ++++++++++++++++++++++++++++++++++++++++---------------------------------------
M docs/docs/img/window_hann.svg  | 1538 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_kaiser.svg  | 1544 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_lanczos.svg  | 1534 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/img/window_triangular.svg  | 1526 ++++++++++++++++++++++++++++++++++++++++----------------------------------------
M docs/docs/index.md  | 103 ++++++++++++++++++++++++++++++++-----------------------------------------------
A docs/docs/installation.md  | 257 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M docs/docs/normalize.md  | 5 ++---
M docs/docs/src_gallery.md  | 17 ++++++++---------
D docs/docs/types.md  | 82 -------------------------------------------------------------------------------
A docs/docs/whatsnew5.md  | 17 +++++++++++++++++
A docs/docs/window_gallery.md  | 214 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M docs/mkdocs.yml  | 51 +++++++++++++++++++++++++++++++++++++--------------
M examples/CMakeLists.txt  | 5 +++--
M examples/biquads.cpp  | 4 +++-
M examples/ccv.cpp  | 47 ++++++++++++++++++++++++-----------------------
M examples/fir.cpp  | 9 ++++-----
M examples/window.cpp  | 3 +++
M include/kfr/base.hpp  | 10 +++++++---
M include/kfr/base/basic_expressions.hpp  | 1246 +++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------
M include/kfr/base/conversion.hpp  | 34 +++++++++++++++++++---------------
M include/kfr/base/expression.hpp  | 1042 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------
M include/kfr/base/filter.hpp  | 33 +++++++++++++++++----------------
M include/kfr/base/fraction.hpp  | 7 +++----
D include/kfr/base/function_expressions.hpp  | 30 ------------------------------
M include/kfr/base/generators.hpp  | 221 ++++++++++++++++++++++++++++++++++++++++---------------------------------------
A include/kfr/base/handle.hpp  | 412 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/base/impl/static_array.hpp  | 230 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/base/math_expressions.hpp  | 516 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/base/memory.hpp  | 2 +-
D include/kfr/base/pointer.hpp  | 310 -------------------------------------------------------------------------------
M include/kfr/base/random.hpp  | 284 ++++++++++++++++++++++++++++++++++++++++---------------------------------------
A include/kfr/base/random_bits.hpp  | 127 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/base/reduce.hpp  | 181 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------
A include/kfr/base/shape.hpp  | 834 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/base/simd_expressions.hpp  | 489 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
D include/kfr/base/sort.hpp  | 103 -------------------------------------------------------------------------------
A include/kfr/base/state_holder.hpp  | 49 +++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/base/tensor.hpp  | 969 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/base/univector.hpp  | 202 ++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------------
M include/kfr/capi.h  | 2 +-
M include/kfr/cident.h  | 78 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++--------------
M include/kfr/cometa.hpp  | 409 +++++++++++++++++++++++++++++++++++++++++++------------------------------------
M include/kfr/cometa/array.hpp  | 4 ++--
M include/kfr/cometa/cstring.hpp  | 8 ++++----
M include/kfr/cometa/function.hpp  | 10 +++++-----
M include/kfr/cometa/memory.hpp  | 21 ++++++++++-----------
M include/kfr/cometa/numeric.hpp  | 20 +++++++++-----------
M include/kfr/cometa/result.hpp  | 2 +-
M include/kfr/cometa/string.hpp  | 197 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----
M include/kfr/dft/convolution.hpp  | 12 ++++++------
M include/kfr/dft/fft.hpp  | 16 ++++++++--------
M include/kfr/dft/impl/bitrev.hpp  | 6 +++---
M include/kfr/dft/impl/convolution-impl.cpp  | 10 ++++++----
M include/kfr/dft/impl/dft-fft.hpp  | 26 ++++++++++++++++++++++++++
M include/kfr/dft/impl/dft-impl.hpp  | 101 +++++++++++++++++++++++++++++++++++++++++--------------------------------------
M include/kfr/dft/impl/fft-impl.hpp  | 148 ++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
M include/kfr/dft/impl/ft.hpp  | 30 ++++++++++++++++--------------
M include/kfr/dsp/biquad.hpp  | 218 ++++++++++++++++++++++++++++++++++++++-----------------------------------------
M include/kfr/dsp/dcremove.hpp  | 10 ++++------
M include/kfr/dsp/delay.hpp  | 98 ++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
M include/kfr/dsp/ebu.hpp  | 16 ++++++++++------
M include/kfr/dsp/fir.hpp  | 143 +++++++++++++++++++++++++++++++++++++++++--------------------------------------
M include/kfr/dsp/fir_design.hpp  | 38 ++++++++++++++++++--------------------
M include/kfr/dsp/fracdelay.hpp  | 6 +++---
M include/kfr/dsp/goertzel.hpp  | 38 +++++++++++++++++++-------------------
M include/kfr/dsp/iir_design.hpp  | 17 +++++++++--------
M include/kfr/dsp/mixdown.hpp  | 13 ++++---------
M include/kfr/dsp/oscillators.hpp  | 34 ++++++++++++++++++----------------
M include/kfr/dsp/sample_rate_conversion.hpp  | 67 ++++++++++++++++++++++++++++++++++++-------------------------------
M include/kfr/dsp/special.hpp  | 15 +++++++++------
D include/kfr/dsp/state_holder.hpp  | 41 -----------------------------------------
M include/kfr/dsp/units.hpp  | 34 +++++++++++++++++-----------------
M include/kfr/dsp/waveshaper.hpp  | 7 ++++---
M include/kfr/dsp/weighting.hpp  | 7 ++++---
M include/kfr/dsp/window.hpp  | 467 +++++++++++++++++++++++++++++++++++--------------------------------------------
A include/kfr/except.hpp  | 99 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/graphics.hpp  | 3 +--
M include/kfr/graphics/color.hpp  | 7 ++++---
M include/kfr/graphics/geometry.hpp  | 20 +++++++++++++-------
A include/kfr/graphics/impl/scaled.hpp  | 58 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
D include/kfr/graphics/scaled.hpp  | 59 -----------------------------------------------------------
M include/kfr/io/file.hpp  | 7 +++++--
M include/kfr/io/python_plot.hpp  | 4 ++--
M include/kfr/io/tostring.hpp  | 118 -------------------------------------------------------------------------------
M include/kfr/kfr.h  | 31 +++++++++++++++++++++++++++----
M include/kfr/math.hpp  | 7 -------
D include/kfr/math/abs.hpp  | 54 ------------------------------------------------------
M include/kfr/math/asin_acos.hpp  | 18 ------------------
M include/kfr/math/atan.hpp  | 40 ++--------------------------------------
D include/kfr/math/clamp.hpp  | 65 -----------------------------------------------------------------
M include/kfr/math/complex_math.hpp  | 126 ++-----------------------------------------------------------------------------
M include/kfr/math/gamma.hpp  | 16 +---------------
M include/kfr/math/hyperbolic.hpp  | 44 --------------------------------------------
D include/kfr/math/impl/abs.hpp  | 138 -------------------------------------------------------------------------------
M include/kfr/math/impl/asin_acos.hpp  | 6 +++---
M include/kfr/math/impl/atan.hpp  | 10 +++++-----
D include/kfr/math/impl/clamp.hpp  | 55 -------------------------------------------------------
M include/kfr/math/impl/gamma.hpp  | 2 +-
M include/kfr/math/impl/hyperbolic.hpp  | 8 ++++----
M include/kfr/math/impl/log_exp.hpp  | 74 +++++++++++++++++++++++++++++++++++++-------------------------------------
D include/kfr/math/impl/logical.hpp  | 284 -------------------------------------------------------------------------------
D include/kfr/math/impl/min_max.hpp  | 236 -------------------------------------------------------------------------------
D include/kfr/math/impl/round.hpp  | 282 -------------------------------------------------------------------------------
D include/kfr/math/impl/saturation.hpp  | 205 -------------------------------------------------------------------------------
D include/kfr/math/impl/select.hpp  | 331 -------------------------------------------------------------------------------
M include/kfr/math/impl/sin_cos.hpp  | 10 +++++-----
M include/kfr/math/impl/tan.hpp  | 11 +++++++----
M include/kfr/math/interpolation.hpp  | 2 +-
M include/kfr/math/log_exp.hpp  | 111 +++++--------------------------------------------------------------------------
D include/kfr/math/min_max.hpp  | 111 -------------------------------------------------------------------------------
M include/kfr/math/modzerobessel.hpp  | 6 ------
D include/kfr/math/round.hpp  | 163 -------------------------------------------------------------------------------
D include/kfr/math/saturation.hpp  | 65 -----------------------------------------------------------------
D include/kfr/math/select.hpp  | 59 -----------------------------------------------------------
M include/kfr/math/sin_cos.hpp  | 123 -------------------------------------------------------------------------------
M include/kfr/math/sqrt.hpp  | 9 ---------
M include/kfr/math/tan.hpp  | 12 ------------
M include/kfr/simd.hpp  | 9 +++++++++
A include/kfr/simd/abs.hpp  | 45 +++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/clamp.hpp  | 51 +++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/comparison.hpp  | 50 +++++++-------------------------------------------
M include/kfr/simd/complex.hpp  | 207 +++++++++++++++++++++++++++++++------------------------------------------------
A include/kfr/simd/complex_type.hpp  | 122 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/impl/abs.hpp  | 138 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/impl/backend_clang.hpp  | 24 +++++++++++++-----------
M include/kfr/simd/impl/backend_generic.hpp  | 85 +++++++++++++++++++++++++++++++++++--------------------------------------------
M include/kfr/simd/impl/basicoperators_clang.hpp  | 6 ++++++
A include/kfr/simd/impl/basicoperators_complex.hpp  | 111 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/impl/basicoperators_generic.hpp  | 149 ++++++++++++++++++++++++++-----------------------------------------------------
A include/kfr/simd/impl/clamp.hpp  | 55 +++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/impl/function.hpp  | 11 +++++------
A include/kfr/simd/impl/logical.hpp  | 284 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/impl/min_max.hpp  | 236 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/impl/operators.hpp  | 159 +++++++------------------------------------------------------------------------
A include/kfr/simd/impl/round.hpp  | 282 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/impl/saturation.hpp  | 205 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/impl/select.hpp  | 331 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/impl/simd.hpp  | 17 +++++++++++++++++
R include/kfr/simd/impl/specializations.i -> include/kfr/simd/impl/specializations.hpp  | 0 
R include/kfr/math/logical.hpp -> include/kfr/simd/logical.hpp  | 0 
A include/kfr/simd/min_max.hpp  | 75 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/operators.hpp  | 301 ++++++++++++++++++++-----------------------------------------------------------
M include/kfr/simd/platform.hpp  | 4 ++--
M include/kfr/simd/read_write.hpp  | 15 +++++++++++----
A include/kfr/simd/round.hpp  | 108 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/saturation.hpp  | 51 +++++++++++++++++++++++++++++++++++++++++++++++++++
A include/kfr/simd/select.hpp  | 49 +++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/shuffle.hpp  | 50 +++++++++++++++++++++++++++++++++++++++++++++++++-
A include/kfr/simd/sort.hpp  | 103 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M include/kfr/simd/types.hpp  | 99 ++++++++++++++++++++++---------------------------------------------------------
M include/kfr/simd/vec.hpp  | 581 +++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------
M include/kfr/testo/comparison.hpp  | 6 +++++-
M include/kfr/testo/testo.hpp  | 51 ++++++++++++++++++++++++++++++++-------------------
A requirements.txt  | 3 +++
M sources.cmake  | 383 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----
M tests/CMakeLists.txt  | 91 +++++++++++++++++++++++++++++++++++++++----------------------------------------
M tests/asm_test.cpp  | 4 ++--
M tests/base_test.cpp  | 22 +++-------------------
M tests/complex_test.cpp  | 12 ++++--------
M tests/dft_test.cpp  | 65 ++++++++++++++++++++++++++++++++++++++++++++---------------------
M tests/dsp_test.cpp  | 567 +------------------------------------------------------------------------------
M tests/expression_test.cpp  | 149 +++----------------------------------------------------------------------------
M tests/intrinsic_test.cpp  | 42 +++++++++++++++++++++++-------------------
M tests/numeric_tests.hpp  | 96 ++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
A tests/tensor_test.cpp  | 14 ++++++++++++++
A tests/unit/base/base.cpp  | 7 +++++++
A tests/unit/base/basic_expressions.cpp  | 157 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M tests/unit/base/conversion.cpp  | 1 +
A tests/unit/base/generators.cpp  | 33 +++++++++++++++++++++++++++++++++
A tests/unit/base/handle.cpp  | 57 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M tests/unit/base/random.cpp  | 40 ++++++++++++++++++++++++++++++++--------
M tests/unit/base/reduce.cpp  | 9 +++++++++
A tests/unit/base/shape.cpp  | 76 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/base/std_ambiguities.cpp  | 12 ++++++++++++
A tests/unit/base/tensor.cpp  | 845 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/biquad.cpp  | 113 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/biquad_design.cpp  | 7 +++++++
A tests/unit/dsp/dsp.cpp  | 7 +++++++
A tests/unit/dsp/ebu.cpp  | 270 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/fir.cpp  | 234 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/sample_rate_conversion.cpp  | 51 +++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/units.cpp  | 58 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/dsp/window.cpp  | 195 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/graphics/graphics.cpp  | 7 +++++++
D tests/unit/math/abs.cpp  | 22 ----------------------
A tests/unit/math/math.cpp  | 7 +++++++
D tests/unit/math/min_max.cpp  | 68 --------------------------------------------------------------------
D tests/unit/math/round.cpp  | 58 ----------------------------------------------------------
D tests/unit/math/select.cpp  | 35 -----------------------------------
A tests/unit/simd/abs.cpp  | 22 ++++++++++++++++++++++
A tests/unit/simd/min_max.cpp  | 70 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M tests/unit/simd/operators.cpp  | 73 +++++++++++++++++++++++++++++++++++++++++++++++++++----------------------
A tests/unit/simd/round.cpp  | 53 +++++++++++++++++++++++++++++++++++++++++++++++++++++
A tests/unit/simd/select.cpp  | 37 +++++++++++++++++++++++++++++++++++++
M tests/unit/simd/shuffle.cpp  | 6 ++++++
A tests/unit/simd/simd.cpp  | 7 +++++++
M tests/unit/simd/vec.cpp  | 76 +++++++++++++++++++++++++++++++++++++++++++++++-----------------------------
M update-sources.py  | 10 +++++++++-

244 files changed, 70853 insertions(+), 18495 deletions(-)
diff --git a/CMakeLists.txt b/CMakeLists.txt
@@ -22,6 +22,20 @@ set(CMAKE_CXX_STANDARD 17)
 set(CMAKE_CXX_STANDARD_REQUIRED ON)
 set(CMAKE_CXX_EXTENSIONS ON)
 
+if (CPU_ARCH)
+    if (NOT KFR_ARCH)
+        message(
+            WARNING
+                "CPU_ARCH is deprecated. Use KFR_ARCH instead. KFR will use machine native architecture by default"
+        )
+    else ()
+        message(
+            WARNING
+                "Both KFR_ARCH and CPU_ARCH are defined. KFR will use architecture set by KFR_ARCH (${KFR_ARCH})"
+        )
+    endif ()
+endif ()
+
 if (WIN32 AND CMAKE_INSTALL_PREFIX_INITIALIZED_TO_DEFAULT)
     set(CMAKE_INSTALL_PREFIX
         ""
@@ -45,37 +59,39 @@ endif ()
 
 # Include autogenerated list of source files
 include(sources.cmake)
+include(CMakeDependentOption)
 
-option(ENABLE_TESTS "Enable tests and examples" OFF)
+option(ENABLE_TESTS "Enable KFR tests" OFF)
+cmake_dependent_option(ENABLE_EXAMPLES "Enable KFR examples" ON "ENABLE_TESTS" OFF)
 if (CLANG)
-    option(ENABLE_DFT "Enable DFT and related algorithms." ON)
-    option(ENABLE_DFT_NP "Enable Non-power of 2 DFT" ON)
+    option(KFR_ENABLE_DFT "Enable DFT and related algorithms." ON)
+    option(KFR_ENABLE_DFT_NP "Enable Non-power of 2 DFT" ON)
     if (X86)
         option(
-            ENABLE_DFT_MULTIARCH
+            KFR_ENABLE_DFT_MULTIARCH
             "Build DFT static libraries for various architectures. Requires Clang"
             OFF)
     endif ()
 else ()
-    option(ENABLE_DFT "Enable DFT and related algorithms." OFF)
-    option(ENABLE_DFT_NP "Enable Non-power of 2 DFT" OFF)
+    option(KFR_ENABLE_DFT "Enable DFT and related algorithms." OFF)
+    option(KFR_ENABLE_DFT_NP "Enable Non-power of 2 DFT" OFF)
 endif ()
-option(ENABLE_ASMTEST "Enable writing disassembly" OFF)
-option(REGENERATE_TESTS "Regenerate auto tests" OFF)
-option(DISABLE_CLANG_EXTENSIONS "Disable Clang vector extensions" OFF)
+option(KFR_ENABLE_ASMTEST "Enable writing disassembly" OFF)
+option(KFR_REGENERATE_TESTS "Regenerate auto tests" OFF)
+option(KFR_DISABLE_CLANG_EXTENSIONS "Disable Clang vector extensions" OFF)
 option(KFR_EXTENDED_TESTS "Extended tests (up to hour)" OFF)
-option(SKIP_TESTS "Skip tests (only build)" OFF)
+option(KFR_SKIP_TESTS "Build tests but don't run tests" OFF)
 option(KFR_STD_COMPLEX "Use std::complex instead of custom complex type" OFF)
-mark_as_advanced(ENABLE_ASMTEST)
-mark_as_advanced(REGENERATE_TESTS)
-mark_as_advanced(DISABLE_CLANG_EXTENSIONS)
+option(KFR_ENABLE_CAPI_BUILD "Enable KFR C API building" OFF)
+mark_as_advanced(KFR_ENABLE_ASMTEST)
+mark_as_advanced(KFR_REGENERATE_TESTS)
+mark_as_advanced(KFR_DISABLE_CLANG_EXTENSIONS)
 
-if (NOT CPU_ARCH)
-    set(CPU_ARCH detect)
+if (NOT KFR_ARCH)
+    set(KFR_ARCH detect)
 endif ()
 
-if (CPU_ARCH STREQUAL "detect" AND X86)
-    message(STATUS "Detecting native cpu...")
+if (KFR_ARCH STREQUAL "detect" AND X86)
     try_run(
         RUN_RESULT COMPILE_RESULT "${CMAKE_CURRENT_BINARY_DIR}/tmpdir"
         ${CMAKE_CURRENT_SOURCE_DIR}/cmake/detect_cpu.cpp
@@ -86,8 +102,11 @@ if (CPU_ARCH STREQUAL "detect" AND X86)
         COMPILE_OUTPUT_VARIABLE COMPILE_OUT
         RUN_OUTPUT_VARIABLE RUN_OUT)
     if (COMPILE_RESULT AND RUN_RESULT EQUAL 0)
-        message(STATUS DETECTED_CPU = ${RUN_OUT})
-        set(CPU_ARCH
+        message(
+            STATUS
+                "Default CPU architecture for KFR is ${RUN_OUT} (set KFR_ARCH to override)"
+        )
+        set(KFR_ARCH
             ${RUN_OUT}
             CACHE STRING "Detected CPU" FORCE)
     else ()
@@ -96,12 +115,17 @@ if (CPU_ARCH STREQUAL "detect" AND X86)
         message(STATUS COMPILE_OUT = ${COMPILE_OUT})
         message(STATUS RUN_OUT = ${RUN_OUT})
     endif ()
+else ()
+    message(
+        STATUS
+            "Default CPU architecture for KFR is ${KFR_ARCH} (set by cmake variable)"
+    )
 endif ()
 
 include(cmake/target_set_arch.cmake)
 
 add_library(use_arch INTERFACE)
-target_set_arch(use_arch INTERFACE ${CPU_ARCH})
+target_set_arch(use_arch INTERFACE ${KFR_ARCH})
 
 if (WIN32)
     add_definitions(-D_CRT_SECURE_NO_WARNINGS)
@@ -137,7 +161,8 @@ if (APPLE)
 endif ()
 if (NOT IOS)
     if (NOT MSVC OR CLANG)
-        target_compile_options(kfr INTERFACE "${CLANG_ARG_PREFIX}-mstackrealign")
+        target_compile_options(kfr
+                               INTERFACE "${CLANG_ARG_PREFIX}-mstackrealign")
     endif ()
 endif ()
 if (MSVC)
@@ -145,28 +170,29 @@ if (MSVC)
 else ()
     target_link_libraries(kfr INTERFACE ${STD_LIB} ${PTHREAD_LIB} m)
 endif ()
-if (DISABLE_CLANG_EXTENSIONS)
+if (KFR_DISABLE_CLANG_EXTENSIONS)
     target_compile_definitions(kfr INTERFACE -DCMT_DISABLE_CLANG_EXT)
 endif ()
 if (KFR_STD_COMPLEX)
     target_compile_definitions(kfr INTERFACE -DKFR_STD_COMPLEX)
-endif()
+endif ()
 if (CMAKE_CXX_COMPILER_ID STREQUAL "GNU")
     target_compile_options(kfr INTERFACE -Wno-ignored-qualifiers -Wno-psabi)
 endif ()
 if (CMAKE_CXX_COMPILER_ID STREQUAL "Clang")
     target_compile_options(kfr INTERFACE -Wno-c++1z-extensions -Wno-psabi)
 endif ()
+if (CMAKE_CXX_COMPILER_ID STREQUAL "MSVC")
+    target_compile_options(kfr INTERFACE /wd4141)
+endif ()
 
-if (NOT ENABLE_DFT)
+if (NOT KFR_ENABLE_DFT)
     target_compile_definitions(kfr INTERFACE -DKFR_NO_DFT)
 endif ()
 if (KFR_EXTENDED_TESTS)
     target_compile_definitions(kfr INTERFACE -DKFR_EXTENDED_TESTS)
 endif ()
 
-message(STATUS CPU_ARCH=${CPU_ARCH})
-
 if (X86)
     add_executable(detect_cpu ${CMAKE_CURRENT_SOURCE_DIR}/cmake/detect_cpu.cpp)
     target_link_libraries(detect_cpu PRIVATE kfr)
@@ -182,11 +208,11 @@ function (add_arch_library NAME ARCH SRCS DEFS)
     target_compile_options(${NAME}_${ARCH} PRIVATE -flto)
 endfunction ()
 
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
 
     set(KFR_DFT_DEFS "${CLANG_ARG_PREFIX}-ffp-contract=fast")
 
-    if (ENABLE_DFT_MULTIARCH)
+    if (KFR_ENABLE_DFT_MULTIARCH)
         add_library(kfr_dft INTERFACE)
         add_library(kfr_dft_all INTERFACE)
         target_link_libraries(kfr_dft INTERFACE kfr kfr_dft_all)
@@ -210,7 +236,7 @@ if (ENABLE_DFT)
         add_library(kfr_dft ${KFR_DFT_SRC})
         target_link_libraries(kfr_dft kfr use_arch)
         target_compile_options(kfr_dft PRIVATE "${KFR_DFT_DEFS}")
-        if (ENABLE_DFT_NP)
+        if (KFR_ENABLE_DFT_NP)
             target_compile_definitions(kfr_dft PUBLIC -DKFR_DFT_NPo2)
         else ()
             target_compile_definitions(kfr_dft PUBLIC -DKFR_DFT_NO_NPo2)
@@ -218,16 +244,18 @@ if (ENABLE_DFT)
 
     endif ()
 
-    if (ENABLE_CAPI_BUILD)
+    if (KFR_ENABLE_CAPI_BUILD)
         add_subdirectory(capi)
     endif ()
 endif ()
 
-if (ENABLE_TESTS)
+if (ENABLE_EXAMPLES)
     add_subdirectory(examples)
-    add_subdirectory(tests)
     add_subdirectory(tools)
 endif ()
+if (ENABLE_TESTS)
+    add_subdirectory(tests)
+endif ()
 
 add_library(kfr_io ${KFR_IO_SRC})
 target_link_libraries(kfr_io kfr)
@@ -239,7 +267,7 @@ install(
     LIBRARY DESTINATION lib
     RUNTIME DESTINATION bin)
 
-if (ENABLE_CAPI_BUILD)
+if (KFR_ENABLE_DFT AND KFR_ENABLE_CAPI_BUILD)
     install(
         TARGETS kfr_capi
         ARCHIVE DESTINATION lib
@@ -249,16 +277,18 @@ endif ()
 
 set(kfr_defines)
 
-function(append_defines_from target)
+function (append_defines_from target)
     get_target_property(compile_defs ${target} INTERFACE_COMPILE_DEFINITIONS)
     if (compile_defs)
         list(APPEND kfr_defines "${compile_defs}")
     endif ()
-    set(kfr_defines ${kfr_defines} PARENT_SCOPE)
-endfunction()
+    set(kfr_defines
+        ${kfr_defines}
+        PARENT_SCOPE)
+endfunction ()
 
 append_defines_from(kfr)
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     append_defines_from(kfr_dft)
 endif ()
 append_defines_from(kfr_io)
@@ -269,8 +299,8 @@ set(kfr_defines "#define ${kfr_defines}\n")
 
 file(WRITE ${CMAKE_CURRENT_BINARY_DIR}/kfr_config.h "${kfr_defines}")
 
-if (ENABLE_DFT)
-    if (ENABLE_DFT_MULTIARCH)
+if (KFR_ENABLE_DFT)
+    if (KFR_ENABLE_DFT_MULTIARCH)
         install(
             TARGETS kfr_dft_sse2 kfr_dft_sse41 kfr_dft_avx kfr_dft_avx2
                     kfr_dft_avx512
@@ -291,8 +321,7 @@ install(DIRECTORY include/kfr DESTINATION include)
 install(
     FILES ${CMAKE_CURRENT_BINARY_DIR}/kfr_config.h
     DESTINATION include/kfr
-    RENAME config.h
-    )
+    RENAME config.h)
 
 # uninstall target
 if (NOT TARGET uninstall)
@@ -306,11 +335,3 @@ if (NOT TARGET uninstall)
         COMMAND ${CMAKE_COMMAND} -P
                 ${CMAKE_CURRENT_BINARY_DIR}/cmake/cmake_uninstall.cmake)
 endif ()
-
-if (DEBUG_CMAKE)
-    get_cmake_property(_variableNames VARIABLES)
-    list(SORT _variableNames)
-    foreach (_variableName ${_variableNames})
-        message(STATUS "${_variableName}=${${_variableName}}")
-    endforeach ()
-endif ()
diff --git a/KNOWNBUGS.md b/KNOWNBUGS.md
@@ -0,0 +1,9 @@
+# Known bugs and limitations
+
+| Compiler | Architecture | ISA | Description
+| - | - | - | - |
+| Visual Studio | x86/x86_64 | < SSE2 | Not supported, SSE2 is required |
+| GCC | x86/x86_64 | < SSE2 | Not supported, SSE2 is required |
+| Visual Studio 2022 | x86_64 | AVX512 | Internal Compiler Error (sometimes) |
+| Clang 14 | x86/x86_64 | Generic | Code generation bug in Clang |
+| GCC 12 | x86/x86_64 | AVX512 | Code generation bug in GCC |
diff --git a/README.md b/README.md
@@ -4,102 +4,96 @@
   <img width="300" height="auto" src="img/KFR1.png">
 </p>
 
-
 ![Build Status](https://img.shields.io/azure-devops/build/dlevin256/dlevin256/1/master.svg?style=flat-square)
-[![Gitter](https://img.shields.io/gitter/room/kfrlib/kfr.svg?maxAge=2592000&style=flat-square)](https://gitter.im/kfrlib/kfr) ![License](https://img.shields.io/github/license/kfrlib/kfr.svg?style=flat-square)
+![License](https://img.shields.io/github/license/kfrlib/kfr.svg?style=flat-square)
+
+https://www.kfr.dev
+
+KFR is an open source C++ DSP framework that contains high performance building blocks for DSP, audio, scientific and other applications. It is distributed under dual GPLv2/v3 and [commercial license](https://kfr.dev/purchase).
+
+## [Installation](docs/docs/installation.md)
 
 Compiler support:
 
-![Clang 6+](https://img.shields.io/badge/Clang-6%2B-brightgreen.svg?style=flat-square)
-![Xcode 9+](https://img.shields.io/badge/Xcode-9%2B-brightgreen.svg?style=flat-square)
+![Clang 9+](https://img.shields.io/badge/Clang-9%2B-brightgreen.svg?style=flat-square)
+![Xcode 10.3+](https://img.shields.io/badge/Xcode-10%2B-brightgreen.svg?style=flat-square)
 ![GCC 7+](https://img.shields.io/badge/GCC-7%2B-brightgreen.svg?style=flat-square)
-![MSVC 2017](https://img.shields.io/badge/MSVC-2017%2B-brightgreen.svg?style=flat-square)
+![MSVC 2019](https://img.shields.io/badge/MSVC-2019%2B-brightgreen.svg?style=flat-square)
 
-https://www.kfr.dev
+KFR has no external dependencies except a C++17 compatible standard C++ library.
+CMake is used as build system.
+
+Clang is highly recommended and proven to provide the best performance for KFR. You can use clang as a drop-in replacement of both GCC on Linux and MSVC on Windows. On macOS clang is the default compiler and included in the official Xcode toolchain.
 
-KFR is an open source C++ DSP framework that focuses on high performance (see benchmark results section).
+_Note_: Building DFT module requires Clang at this moment due to internal compiler errors and lack of optimization in GCC and MSVC.
 
-KFR has no external dependencies except C++17-compatible standard C++ library.
+:arrow_right: See [Installation](docs/docs/installation.md)   for more details
 
-Some C++17 library features will be emulated if not present in the standard library.
+## Features
 
-# Features
+### FFT/DFT
+* Optimized DFT implementation for any size (non-power of two sizes are supported)
+* DFT performance is on par with the most performant implementation currently available [See Benchmarks](#benchmark-results)
+* Real Forward and Inverse DFT
+* Discrete Cosine Transform type II (and its inverse, also called DCT type III)
+* Convolution using FFT
+* Convolution filter
+
+:arrow_right: See also [How to apply FFT](docs/docs/dft.md) with KFR
 
-## What's new in KFR 4.0
+### DSP
 
 * IIR filter design
   * Butterworth
   * Chebyshev type I and II
   * Bessel
   * Lowpass, highpass, bandpass and bandstop filters
-  * Conversion of arbitrary filter from Z,P,K to SOS format (suitable for biquad function and filter)
-* Discrete Cosine Transform type II (and its inverse, also called DCT type III)
-* cmake uninstall target (thank to [@acxz](https://github.com/acxz))
-* C API: DFT, real DFT, DCT, FIR and IIR filters and convolution, memory allocation
-  * Built for SSE2, SSE4.1, AVX, AVX2, AVX512, x86 and x86_64, architecture is selected at runtime
-  * Can be used with any compiler and any language with ability to call C functions
-  * Windows binaries will be available soon
-* C++17
-  * Inline variables
-  * Fold expressions
-  * Structured binding
-* New vector based types: color, rectangle, point, size, border, geometric vector, 2D matrix
-* Color space conversion (sRGB, XYZ, Lab, LCH)
-* MP3 file reading (using third party dr_lib library, see source code for details)
-* Various optimizations and fixes (thank to [@bmanga](https://github.com/bmanga), [@ncorgan](https://github.com/ncorgan), [@rotkreis](https://github.com/rotkreis), [@mujjingun](https://github.com/mujjingun) for fixes and bug reports)
-
-### Release notes
-
-* DFT is limited to Clang due to ICE in MSVC and broken AVX optimization in GCC 8 and 9. Once fixed, support will be added
-
-## What's new in KFR 3.0
-
-* Optimized non-power of two DFT implementation
-* GCC 7+ support
-* MSVC 2017 support
-* AVX-512 support (MSVC and Clang, GCC has incomplete support of AVX-512 instrinsics)
-* EBU R128
-* Ability to include KFR as a subdirectory in cmake project
-* Ability to link objects built for multiple architectures into one binary
-* Number of automatic tests has been increased
-* C API for DFT
-* GPL version changed from 3 to 2+
-
-## All features
-
-* All code in the library is optimized for Intel, AMD (SSE2, SSE3, SSE4.x, AVX and AVX2 and AVX512) and ARM (NEON) processors
-* Mathematical and statistical functions
+  * Conversion of arbitrary filter from {Z, P, K} to SOS format (suitable for biquad function and filter)
+* Biquad filter [See Benchmarks](#benchmark-results)
+* Simple biquad filter design
+* FIR filter design using window method
+* Loudness measurement according to EBU R128
+* Window functions: Triangular, Bartlett, Cosine, Hann, Bartlett-Hann, Hamming, Bohman, Blackman, Blackman-Harris, Kaiser, Flattop, Gaussian, Lanczos, Rectangular
+* Sample rate conversion with configurable quality and linear phase
+* Oscillators, fast incremental sine/cosine generation,  Goertzel algorithm, fractional delay
+
+
+### Base
+
+* Tensors (multidimensional arrays)
+* Statistical functions
+* Random number generation
 * Template expressions (See examples)
+* Ring (Circular) buffer
+
+### Math
+
+* Mathematical functions such as `sin`, `log` and `cosh` built on top of SIMD primitives
+* Most of the standard library functions are re-implemented to support vector of any length and data type
+
+### SIMD
+
+* `vec<T, N>` class and related functions that abstracts cpu-specific intrinsics
+* All code in the library is optimized for Intel, AMD (SSE2, SSE3, SSE4.x, AVX and AVX2 and AVX512) and ARM, AArch64 (NEON) processors
 * All data types are supported including complex numbers
 * All vector lengths are also supported. `vec<float,1>`, `vec<unsigned,3>`, `vec<complex<float>, 11>` all are valid vector types in KFR
-* Most of the standard library functions are re-implemented to support vector of any length and data type
-* Runtime cpu detection
-
-### Included DSP/audio algorithms:
-
-* FFT
-* Convolution
-* FIR filtering
-* FIR filter design using the window method
-* Resampling with configurable quality (See resampling.cpp from Examples directory)
-* Goertzel algorithm
-* Fractional delay
-* Biquad filtering
-* Biquad design functions
-* Oscillators: Sine, Square, Sawtooth, Triangle
-* Window functions: Triangular, Bartlett, Cosine, Hann, Bartlett-Hann, Hamming, Bohman, Blackman, Blackman-Harris, Kaiser, Flattop, Gaussian, Lanczos, Rectangular
-* Audio file reading/writing
-* Pseudorandom number generator
 * Sorting
-* Ring (Circular) buffer
-* Simple waveshaper
-* Fast incremental sine/cosine generation
-* EBU R128
 
-# Benchmark results
-## DFT
 
-### KFR 3.0.1
+### IO
+
+* Audio file reading/writing
+* WAV
+* FLAC
+* MP3
+
+### C API
+
+C API is available and includes a subset of KFR features including FFT and filter processing.
+
+## Benchmark results
+
+### DFT
 
 Powers of 2, from 16 to 16777216 (*Higher is better*)
 
@@ -120,214 +114,12 @@ Random sizes from 120 to 30720000 (*Higher is better*)
 See [fft benchmark](https://github.com/kfrlib/fft-benchmark) for details about benchmarking process.
 
 
-## Biquad
+### Biquad
 
  (*Higher is better*)
 
 ![Biquad Performance](img/biquad.svg)
 
-# Usage
-
-## Common prerequisites
-
-* CMake 3.0 or newer for building tests and examples
-* Python 2.7 or 3.x for running examples
-* (Optional) Ninja (https://ninja-build.org/)
-
-For running examples and plotting frequency responses of filters the following python packages are required:
-
-```bash
-pip install matplotlib
-pip install numpy
-pip install scipy
-```
-Or download prebuilt python packages for windows
-
-To obtain the full code, including examples and tests, you can clone the git repository:
-
-```
-git clone https://github.com/kfrlib/kfr.git
-```
-
-## Building KFR C API
-
-### Windows
-
-These commands must be executed in MSVC2017 command prompt
-
-```bash
-cd <path_to_kfr_repository>
-mkdir build && cd build
-cmake -GNinja -DENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER="<PATH_TO_LLVM_DIR>/bin/clang-cl.exe" ..
-ninja kfr_capi
-```
-
-### Linux, macOS, other
-
-```bash
-cd <path_to_kfr_repository>
-mkdir build && cd build
-cmake -GNinja -DENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER=clang++ ..
-ninja kfr_capi
-```
-
-#### ArchLinux Package
-KFR is available on the [ArchLinux User Repository](https://wiki.archlinux.org/index.php/Arch_User_Repository) (AUR).
-You can install it with an [AUR helper](https://wiki.archlinux.org/index.php/AUR_helpers), like [`yay`](https://aur.archlinux.org/packages/yay/), as follows:
-
-```bash
-yay -S kfr
-```
-To discuss any issues related to this AUR package refer to the comments section of
-[`kfr`](https://aur.archlinux.org/packages/kfr/).
-
-Prebuilt binaries will be available soon.
-
-## Including in CMake project
-
-CMakeLists.txt contains these libraries:
-* `kfr` - header only interface library
-* `kfr_dft` - static library for DFT and related algorithms
-* `kfr_io` - static library for file IO and audio IO
-
-```cmake
-# Include KFR subdirectory
-add_subdirectory(kfr)
-
-# Add header-only KFR to your executable or library, this sets include directories etc
-target_link_libraries(your_executable_or_library kfr)
-
-# Add KFR DFT to your executable or library, (cpp file will be built for this)
-target_link_libraries(your_executable_or_library kfr_dft)
-
-# Add KFR IO to your executable or library, (cpp file will be built for this)
-target_link_libraries(your_executable_or_library kfr_io)
-```
-
-## Makefile, command line etc (Unix-like systems)
-
-```bash
-# Add this to command line
--Ipath_to_kfr/include
-
-# And this if needed
--lkfr_dft -lkfr_io
-
-# C++17 mode must be enabled
--std=c++17
-# or
--std=gnu++17
-```
-
-## Linux
-
-### Prerequisites
-* GCC 7 or newer
-* Clang 6.0 or newer
-
-### Command line
-```bash
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER=clang++ -DCMAKE_BUILD_TYPE=Release ..
-make -- -j
-```
-Or using Ninja
-```bash
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER=clang++ -DCMAKE_BUILD_TYPE=Release ..
-ninja
-```
-
-## macOS
-
-### Prerequisites
-* XCode 9.x, 10.x or 11.x
-
-### Command line
-Using Xcode project:
-```bash
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -GXcode -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
-cmake --build .
-```
-Using Unix Makefiles:
-```bash
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -G"Unix Makefiles" -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
-make -- -j
-```
-Or using Ninja:
-```bash
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
-ninja
-```
-
-## Visual Studio
-
-### Prerequisites
-* Visual Studio 2017
-* Latest Clang (http://llvm.org/)
-* Ninja is highly recommended because Visual Studio does not support parallel build with Clang at this moment.
-
-### Visual Studio IDE
-
-To work with KFR in Visual Studio you must add the path to the `include` directory inside KFR directory to the list of the project's include directories.<br>
-More details:
-https://docs.microsoft.com/en-us/cpp/ide/vcpp-directories-property-page?view=vs-2017
-
-Make sure that LLVM toolset is set for the project<br>
-
-Download and install official LLVM extension:
-* LLVM toolchain for Visual Studio https://marketplace.visualstudio.com/items?itemName=LLVMExtensions.llvm-toolchain
-
-More details:
-https://docs.microsoft.com/en-us/cpp/ide/general-property-page-project?view=vs-2017
-
-LLVM/Clang has very good compatibility with MSVC ABI and it's widely used for building large projects on Windows (including Chrome), so switching to LLVM/Clang should not cause compatibility problems.
-
-### Command line
-Using Ninja:
-```
-cd <path_to_kfr>
-mkdir build && cd build
-call "C:\<path to your Visual Studio installation>\VC\Auxiliary\Build\vcvars64.bat"
-cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_CXX_FLAGS=-m64 -DCMAKE_BUILD_TYPE=Release ..
-ninja
-```
-Or generate Visual Studio solution (building will be slower):
-```
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -G"Visual Studio 15 2017 Win64" -DENABLE_TESTS=ON -Tllvm -DCMAKE_BUILD_TYPE=Release ..
-```
-
-## MinGW/MSYS
-
-### Prerequisites
-* Latest MinGW or MSYS2
-* Clang 6.0 or newer
-
-Using Makefiles:
-```
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
-make -- -j
-```
-Using Ninja:
-```
-cd <path_to_kfr>
-mkdir build && cd build
-cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
-ninja
-```
-
 ## Documentation
 
 Documentation home:
@@ -358,57 +150,8 @@ cd tests
 ctest -V
 ```
 
-Tested on the following systems:
-
-
-### macOS
-* (**Intel AVX2**) macOS **10.13.6** / Xcode 10 / AppleClang 10.0.0.10001145
-* (**Intel AVX** Azure Pipelines) macOS **10.13.6** / Xcode 10.1 / AppleClang 10.0.0.10001145
-* (**Intel AVX** Azure Pipelines) macOS **10.13.6** / Xcode 10 / AppleClang 10.0.0.10001145
-* (**Intel AVX** Azure Pipelines) macOS **10.13.6** / Xcode 9.4.1 / AppleClang 9.1.0.9020039
-* (**Intel AVX** Azure Pipelines) macOS **10.13.6** / Xcode 9.0.1 / AppleClang 9.0.0.9000038
-* (**Intel AVX** Azure Pipelines) macOS **10.13.6** / Xcode 8.3.3 / AppleClang 8.1.0.8020042
-* (**Intel AVX2**) macOS **10.11.6** / Xcode 7.3 / AppleClang 7.3.0.7030031
-* (**Intel AVX2**) macOS **10.11.4** / Xcode 7.3 / AppleClang 7.3.0.7030031
-* (**ARMv7, ARMv7s, ARM64**) macOS **10.11.6** / Xcode 7.3 / AppleClang 7.3.0.7030031
-* (**Intel AVX**) macOS **10.10.5** / Xcode 7.1 / AppleClang 7.0.0.7000176
-* (**SSE4.2** Travis-CI) macOS **10.11.6** / Xcode 8 (beta4)  / AppleClang 8.0.0.8000035
-* (**SSE4.2** Travis-CI) macOS **10.11.5** / Xcode 7.3 / AppleClang 7.3.0.7030031
-* (**SSE4.2** Travis-CI) macOS **10.11.5** / Xcode 7.2 / AppleClang 7.0.2.7000181
-* (**SSE4.2** Travis-CI) macOS **10.10.5** / Xcode 7.1 / AppleClang 7.0.0.7000176
-* (**SSE4.2** Travis-CI) macOS **10.10.5** / Xcode 7 / AppleClang 7.0.0.7000072
-* (**SSE4.2** Travis-CI) macOS **10.10.5** / Xcode 6.4 / AppleClang 6.1.0.6020053
-* (**SSE4.2** Travis-CI) macOS **10.10.3** / Xcode 6.3 / AppleClang 6.1.0.6020049
-
-### Ubuntu
-* (**Intel AVX2**) Ubuntu **18.04** / gcc-7.x / clang version 7.0.0 (tags/RELEASE_700/final)
-* (**Intel AVX2**) Ubuntu **16.04** / gcc-5.4.0 / clang version 3.8.0 (tags/RELEASE_380/final)
-* (**ARMv7 NEON**) Ubuntu **16.04** / gcc-5.4.0 / clang version 3.8.0 (tags/RELEASE_380/final)
-* (**ARMv7 NEON**) Ubuntu **14.04** / gcc-4.8.4 / clang version 3.8.0 (tags/RELEASE_380/final)
-* (**ARMv7 NEON** Travis-CI) Ubuntu **14.04** / gcc-4.8.4 / clang version 3.8.0 (tags/RELEASE_380/final)
-* (**Intel AVX2** Travis-CI) Ubuntu **12.04** / gcc-5.4.0 / clang version 3.8.0 (tags/RELEASE_380/final)
-* (**Intel AVX2** Travis-CI) Ubuntu **14.04** / gcc-5.3.0 (Ubuntu 5.3.0-3ubuntu1~14.04) 5.3.0 20151204 / clang version 3.8.0 (tags/RELEASE_380/final)
-
-### Windows
-* (**Intel AVX512**) Windows **10** / Visual Studio 2017 / Clang 7.0
-* (**Intel AVX512**) Windows **10** / Visual Studio 2017 / Clang 6.0
-* (**Intel AVX2**) Windows **10** / MinGW-W64 5.2 / clang version 3.8.0 (branches/release_38)
-* (**Intel AVX2**) Windows **10** / MinGW-W64 4.8 / clang version 3.8.0 (branches/release_38)
-* (**Intel AVX**) Windows **8.1** / MinGW-W64 5.4 / clang version 3.8.0 (branches/release_38)
-* (**Intel AVX**) Windows **8.1** / Visual Studio 2015 Update 2 / clang version 3.9.0 (SVN r273898 (27 June 2016))
-
-### Linux on Windows 10
-* (**Intel AVX2**) Windows **10.0.17134.407** compatible with Ubuntu **18.04** / gcc-7.x / clang version 7.0.0 (tags/RELEASE_700/final)
-* (**Intel AVX2**) Windows **10.0.14393** compatible with Ubuntu **14.04** / gcc-5.4.0 / clang version 3.8.0 (tags/RELEASE_380/final)
-
-## Planned for future versions
-
-* Parallel execution of algorithms
-* Serialization/Deserialization of any expression
-* More formats for audio file reading/writing
-
 ## License
 
 KFR is dual-licensed, available under both commercial and open-source GPL 2+ license.
 
-If you want to use KFR in commercial product or a closed-source project, you need to [purchase a Commercial License](https://kfr.dev/purchase-license)
+If you want to use KFR in a commercial product or a closed-source project, you need to [purchase a Commercial License](https://kfr.dev/purchase-license)
diff --git a/azure-pipelines.yml b/azure-pipelines.yml
@@ -1,5 +1,5 @@
 jobs:
-- job: Windows_MSVC_x86_64_AVX512_Clang13_Release
+- job: Windows_MSVC_x86_64_AVX512_Clang14_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -16,9 +16,9 @@ jobs:
       set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
       set PATH=%PATH:C:\Strawberry\c\bin;=%
       set PATH=C:\sde;%PATH%
-      ci\run.cmd build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=ON -DENABLE_DFT_MULTIARCH=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_LINKER="C:/Program Files/LLVM/bin/lld-link.exe" -DUSE_SDE=ON -DCPU_ARCH=sse2 -DCMAKE_CXX_FLAGS=-m64 -DCMAKE_BUILD_TYPE=Release -DCMAKE_AR="C:/Program Files/LLVM/bin/llvm-lib.exe"
+      ci\run.cmd build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,ssse3,sse42,avx,avx2,avx512 -DKFR_ENABLE_DFT_MULTIARCH=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_LINKER="C:/Program Files/LLVM/bin/lld-link.exe" -DKFR_USE_SDE=ON -DKFR_ARCH=sse2 -DCMAKE_CXX_FLAGS=-m64 -DCMAKE_BUILD_TYPE=Release -DCMAKE_AR="C:/Program Files/LLVM/bin/llvm-lib.exe"
 
-- job: Windows_MSVC_x86_AVX512_Clang13_Release
+- job: Windows_MSVC_x86_AVX512_Clang14_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -35,7 +35,7 @@ jobs:
       set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
       set PATH=%PATH:C:\Strawberry\c\bin;=%
       set PATH=C:\sde;%PATH%
-      ci\run.cmd build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=ON -DENABLE_DFT_MULTIARCH=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_LINKER="C:/Program Files/LLVM/bin/lld-link.exe" -DUSE_SDE=ON -DCPU_ARCH=sse2 -DCMAKE_CXX_FLAGS=-m32 -DCMAKE_BUILD_TYPE=Release -DCMAKE_AR="C:/Program Files/LLVM/bin/llvm-lib.exe"
+      ci\run.cmd build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,ssse3,sse42,avx,avx2,avx512 -DKFR_ENABLE_DFT_MULTIARCH=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_LINKER="C:/Program Files/LLVM/bin/lld-link.exe" -DKFR_USE_SDE=ON -DKFR_ARCH=sse2 -DCMAKE_CXX_FLAGS=-m32 -DCMAKE_BUILD_TYPE=Release -DCMAKE_AR="C:/Program Files/LLVM/bin/llvm-lib.exe"
 
 - job: Linux_x86_64_Clang8
   timeoutInMinutes: 180
@@ -44,22 +44,12 @@ jobs:
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-8
+      sudo apt-get update && sudo apt-get install -y ninja-build clang-8
       curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
       mkdir "$(Agent.TempDirectory)/sde-bin"
       tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
       sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
-      ci/run.sh build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DCPU_ARCH=avx2 -DUSE_SDE=ON -DCMAKE_CXX_COMPILER=clang++-8 -DCMAKE_BUILD_TYPE=Release
-
-- job: Linux_x86_64_Clang9
-  timeoutInMinutes: 180
-  pool:
-    vmImage: 'ubuntu-18.04'
-  steps:
-  - bash: |
-      set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-9
-      ci/run.sh build-release -DCPU_ARCH=avx2 -DCMAKE_CXX_COMPILER=clang++-9 -DCMAKE_BUILD_TYPE=Release
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DKFR_ARCH=avx2 -DKFR_USE_SDE=ON -DCMAKE_CXX_COMPILER=clang++-8 -DCMAKE_BUILD_TYPE=Release
 
 - job: Linux_x86_64_Clang10
   timeoutInMinutes: 180
@@ -68,18 +58,8 @@ jobs:
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-10
-      ci/run.sh build-release -DCPU_ARCH=avx2 -DCMAKE_CXX_COMPILER=clang++-10 -DCMAKE_BUILD_TYPE=Release
-
-- job: Linux_x86_64_Clang11
-  timeoutInMinutes: 180
-  pool:
-    vmImage: 'ubuntu-20.04'
-  steps:
-  - bash: |
-      set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-11
-      ci/run.sh build-release -DCPU_ARCH=avx2 -DCMAKE_CXX_COMPILER=clang++-11 -DCMAKE_BUILD_TYPE=Release
+      sudo apt-get update && sudo apt-get install -y ninja-build clang-10
+      ci/run.sh build-release -DKFR_ARCH=avx2 -DCMAKE_CXX_COMPILER=clang++-10 -DCMAKE_BUILD_TYPE=Release
 
 - job: Linux_x86_64_Clang12
   timeoutInMinutes: 180
@@ -88,24 +68,26 @@ jobs:
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-12
+      sudo apt-get update && sudo apt-get install -y ninja-build clang-12
       curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
       mkdir "$(Agent.TempDirectory)/sde-bin"
       tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
       sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
-      ci/run.sh build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DCPU_ARCH=avx2 -DUSE_SDE=ON -DCMAKE_CXX_COMPILER=clang++-12 -DCMAKE_BUILD_TYPE=Release
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DKFR_ARCH=avx2 -DKFR_USE_SDE=ON -DCMAKE_CXX_COMPILER=clang++-12 -DCMAKE_BUILD_TYPE=Release
 
-- job: Linux_x86_64_Clang13
+- job: Linux_x86_64_Clang14
   timeoutInMinutes: 180
   pool:
-    vmImage: 'ubuntu-20.04'
+    vmImage: 'ubuntu-22.04'
   steps:
   - bash: |
       set -e
-      wget -O - https://apt.llvm.org/llvm-snapshot.gpg.key | sudo apt-key add -
-      echo "deb http://apt.llvm.org/focal/ llvm-toolchain-focal-13 main" | sudo tee /etc/apt/sources.list.d/llvm.list
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev clang-13
-      ci/run.sh build-release -DCPU_ARCH=avx2 -DCMAKE_CXX_COMPILER=clang++-13 -DCMAKE_BUILD_TYPE=Release
+      sudo apt-get update && sudo apt-get install -y ninja-build clang-14
+      curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
+      mkdir "$(Agent.TempDirectory)/sde-bin"
+      tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
+      sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DKFR_ARCH=avx2 -DKFR_USE_SDE=ON -DCMAKE_CXX_COMPILER=clang++-14 -DCMAKE_BUILD_TYPE=Release
 
 - job: Linux_x86_64_GCC7
   timeoutInMinutes: 180
@@ -114,8 +96,8 @@ jobs:
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev gcc-7 g++-7
-      ci/run.sh build-release -DCPU_ARCH=avx -DENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-7 -DCMAKE_BUILD_TYPE=Release
+      sudo apt-get update && sudo apt-get install -y ninja-build gcc-7 g++-7
+      ci/run.sh build-release -DKFR_ARCH=avx -DKFR_ENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-7 -DCMAKE_BUILD_TYPE=Release
 
 - job: Linux_x86_64_GCC8
   timeoutInMinutes: 180
@@ -124,40 +106,40 @@ jobs:
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev gcc-8 g++-8
+      sudo apt-get update && sudo apt-get install -y ninja-build gcc-8 g++-8
       curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
       mkdir "$(Agent.TempDirectory)/sde-bin"
       tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
       sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
-      ci/run.sh build-release -DARCH_TESTS=sse2,sse3,sse41,avx,avx2 -DUSE_SDE=ON -DCPU_ARCH=avx -DENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-8 -DCMAKE_BUILD_TYPE=Release
+      ci/run.sh build-release -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2 -DKFR_USE_SDE=ON -DKFR_ARCH=avx -DKFR_ENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-8 -DCMAKE_BUILD_TYPE=Release
       
-- job: Linux_x86_64_GCC9
+- job: Linux_x86_64_GCC10
   timeoutInMinutes: 180
   pool:
-    vmImage: 'ubuntu-20.04'
+    vmImage: 'ubuntu-22.04'
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev gcc-9 g++-9
+      sudo apt-get update && sudo apt-get install -y ninja-build gcc-10 g++-10
       curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
       mkdir "$(Agent.TempDirectory)/sde-bin"
       tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
       sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
-      ci/run.sh build-release -DARCH_TESTS=sse2,sse3,sse41,avx,avx2 -DUSE_SDE=ON  -DCPU_ARCH=avx2 -DENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-9 -DCMAKE_BUILD_TYPE=Release
+      ci/run.sh build-release -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2,avx512 -DKFR_USE_SDE=ON -DKFR_ARCH=avx2 -DKFR_ENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-10 -DCMAKE_BUILD_TYPE=Release
 
-- job: Linux_x86_64_GCC10
+- job: Linux_x86_64_GCC12
   timeoutInMinutes: 180
   pool:
-    vmImage: 'ubuntu-20.04'
+    vmImage: 'ubuntu-22.04'
   steps:
   - bash: |
       set -e
-      sudo apt-get update && sudo apt-get install -y ninja-build libmpfr-dev gcc-10 g++-10
+      sudo apt-get update && sudo apt-get install -y ninja-build gcc-12 g++-12
       curl -o "$(Agent.TempDirectory)/sde.tar.bz2" -L $(SDE_URL_LINUX)
       mkdir "$(Agent.TempDirectory)/sde-bin"
       tar -C "$(Agent.TempDirectory)/sde-bin" -xjf "$(Agent.TempDirectory)/sde.tar.bz2"  --strip 1
       sudo ln -s $(Agent.TempDirectory)/sde-bin/sde64 /usr/bin/sde
-      ci/run.sh build-release -DARCH_TESTS=sse2,sse3,sse41,avx,avx2 -DUSE_SDE=ON  -DCPU_ARCH=avx2 -DENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-10 -DCMAKE_BUILD_TYPE=Release
+      ci/run.sh build-release -DKFR_ARCH_TESTS=sse2,sse3,sse41,avx,avx2 -DKFR_USE_SDE=ON -DKFR_ARCH=avx2 -DKFR_ENABLE_DFT=OFF -DCMAKE_CXX_COMPILER=g++-12 -DCMAKE_BUILD_TYPE=Release
 
 - job: Linux_ARM_Clang9_Release
   timeoutInMinutes: 180
@@ -192,7 +174,7 @@ jobs:
       set -e
       /bin/bash -c "sudo xcode-select -s /Applications/Xcode_13.1.app/Contents/Developer"
       brew install ninja
-      ci/run.sh build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=sse2,ssse3,sse41,avx -DCPU_ARCH=detect -DENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,ssse3,sse41,avx -DKFR_ARCH=detect -DKFR_ENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
 
 - job: macOS15_x86_64_Clang_Release
   timeoutInMinutes: 180
@@ -209,7 +191,7 @@ jobs:
       set -e
       /bin/bash -c "sudo xcode-select -s /Applications/Xcode_$(XCODE_VER).app/Contents/Developer"
       brew install ninja
-      ci/run.sh build-release -DENABLE_CAPI_BUILD=ON -DARCH_TESTS=sse2,ssse3,sse41,avx -DCPU_ARCH=detect -DENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_ARCH_TESTS=sse2,ssse3,sse41,avx -DKFR_ARCH=detect -DKFR_ENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
 
 - job: macOS_x86_64_Clang_Release
   timeoutInMinutes: 180
@@ -231,15 +213,13 @@ jobs:
       export PATH=$PATH:$(Agent.TempDirectory)/sde-bin
       sde64 -help || true
 
-      # sudo spctl --master-disable
-      # sudo /usr/sbin/DevToolsSecurity –enable
       sudo security authorizationdb write system.privilege.taskport allow
 
       sde64 -chip_check_exe_only -- $(Agent.TempDirectory)/sde-bin/intel64/nullapp
 
       /bin/bash -c "sudo xcode-select -s /Applications/Xcode_$(XCODE_VER).app/Contents/Developer"
       brew install ninja
-      ci/run.sh build-release -DENABLE_CAPI_BUILD=ON -DUSE_SDE=ON -DARCH_TESTS=sse2,ssse3,sse41,avx,avx2,avx512 -DCPU_ARCH=sse2 -DENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
+      ci/run.sh build-release -DKFR_ENABLE_CAPI_BUILD=ON -DKFR_USE_SDE=ON -DKFR_ARCH_TESTS=sse2,ssse3,sse41,avx,avx2,avx512 -DKFR_ARCH=sse2 -DKFR_ENABLE_DFT_MULTIARCH=ON -DCMAKE_BUILD_TYPE=Release      
 
 - job: iOS_ARM_Clang_Release
   timeoutInMinutes: 180
@@ -250,7 +230,7 @@ jobs:
       set -e
       /bin/bash -c "sudo xcode-select -s /Applications/Xcode_11.7.app/Contents/Developer"
       brew install ninja
-      ci/run.sh build-release -DCMAKE_TOOLCHAIN_FILE=../cmake/ios.cmake -DCMAKE_BUILD_TYPE=Release -DIOS_PLATFORM=OS -DIOS_ARCH=armv7 -DCMAKE_MAKE_PROGRAM=/usr/local/bin/ninja -DSKIP_TESTS=ON
+      ci/run.sh build-release -DCMAKE_TOOLCHAIN_FILE=../cmake/ios.cmake -DCMAKE_BUILD_TYPE=Release -DIOS_PLATFORM=OS -DIOS_ARCH=armv7 -DCMAKE_MAKE_PROGRAM=/usr/local/bin/ninja -DKFR_SKIP_TESTS=ON
 
 - job: iOS_ARM64_Clang_Release
   timeoutInMinutes: 180
@@ -261,9 +241,9 @@ jobs:
       set -e
       /bin/bash -c "sudo xcode-select -s /Applications/Xcode_11.7.app/Contents/Developer"
       brew install ninja
-      ci/run.sh build-release -DCMAKE_TOOLCHAIN_FILE=../cmake/ios.cmake -DCMAKE_BUILD_TYPE=Release -DIOS_PLATFORM=OS64 -DIOS_ARCH=arm64 -DCMAKE_MAKE_PROGRAM=/usr/local/bin/ninja -DSKIP_TESTS=ON
+      ci/run.sh build-release -DCMAKE_TOOLCHAIN_FILE=../cmake/ios.cmake -DCMAKE_BUILD_TYPE=Release -DIOS_PLATFORM=OS64 -DIOS_ARCH=arm64 -DCMAKE_MAKE_PROGRAM=/usr/local/bin/ninja -DKFR_SKIP_TESTS=ON
 
-- job: Android_ARMv7_Clang_Release
+- job: Android_ARMv7_Clang11_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -275,9 +255,9 @@ jobs:
       mkdir "%USERPROFILE%\.android"
       echo > "%USERPROFILE%\.android\repositories.cfg"
       call "%ANDROID_HOME%\tools\bin\sdkmanager.bat" "ndk-bundle" < %TMP%\always_yes
-      ci\run.cmd build-release -DCMAKE_TOOLCHAIN_FILE="%ANDROID_HOME%\ndk-bundle\build\cmake\android.toolchain.cmake" -DANDROID_ABI=armeabi-v7a -DANDROID_ARM_NEON=TRUE -DSKIP_TESTS=ON -DCMAKE_BUILD_TYPE=Release
+      ci\run.cmd build-release -DCMAKE_TOOLCHAIN_FILE="%ANDROID_HOME%\ndk-bundle\build\cmake\android.toolchain.cmake" -DANDROID_ABI=armeabi-v7a -DANDROID_ARM_NEON=TRUE -DKFR_SKIP_TESTS=ON -DCMAKE_BUILD_TYPE=Release
 
-- job: Android_AArch64_Clang_Release
+- job: Android_AArch64_Clang11_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -289,9 +269,9 @@ jobs:
       mkdir "%USERPROFILE%\.android"
       echo > "%USERPROFILE%\.android\repositories.cfg"
       call "%ANDROID_HOME%\tools\bin\sdkmanager.bat" "ndk-bundle" < %TMP%\always_yes
-      ci\run.cmd build-release -DCMAKE_TOOLCHAIN_FILE="%ANDROID_HOME%\ndk-bundle\build\cmake\android.toolchain.cmake" -DANDROID_ABI=arm64-v8a -DANDROID_ARM_NEON=TRUE -DSKIP_TESTS=ON -DCMAKE_BUILD_TYPE=Release
+      ci\run.cmd build-release -DCMAKE_TOOLCHAIN_FILE="%ANDROID_HOME%\ndk-bundle\build\cmake\android.toolchain.cmake" -DANDROID_ABI=arm64-v8a -DANDROID_ARM_NEON=TRUE -DKFR_SKIP_TESTS=ON -DCMAKE_BUILD_TYPE=Release
 
-- job: Windows_MinGW_x86_Clang13_Release
+- job: Windows_MinGW_x86_Clang14_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -304,9 +284,9 @@ jobs:
       set PATH=C:\ProgramData\Chocolatey\bin;C:\Program Files\CMake\bin;C:\tools\msys64\usr\local\bin;C:\tools\msys64\usr\bin;C:\tools\msys64\mingw32\bin;C:\windows;C:\windows\system32;C:\Windows;C:\Windows\System32\WindowsPowerShell\v1.0
       call C:\tools\msys64\msys2_shell.cmd -defterm -mingw32 -no-start -full-path -here -c "pacman -S --noconfirm mingw32/mingw-w64-i686-gcc"
       call C:\tools\msys64\msys2_shell.cmd -defterm -mingw32 -no-start -full-path -here -c "pacman -S --noconfirm mingw32/mingw-w64-i686-ninja"
-      call C:\tools\msys64\msys2_shell.cmd -defterm -mingw32 -no-start -full-path -here -c "ci/run.sh build-release -DCMAKE_CXX_COMPILER=""C:/Program Files/LLVM/bin/clang++.exe"" -DCPU_ARCH=avx -DCMAKE_CXX_FLAGS=--target=i686-w64-windows-gnu -DCMAKE_BUILD_TYPE=Release"
+      call C:\tools\msys64\msys2_shell.cmd -defterm -mingw32 -no-start -full-path -here -c "ci/run.sh build-release -DCMAKE_CXX_COMPILER=""C:/Program Files/LLVM/bin/clang++.exe"" -DKFR_ARCH=avx -DCMAKE_CXX_FLAGS=--target=i686-w64-windows-gnu -DCMAKE_BUILD_TYPE=Release"
 
-- job: Windows_MinGW_x86_64_Clang13_Release
+- job: Windows_MinGW_x86_64_Clang14_Release
   timeoutInMinutes: 180
   pool:
     vmImage: 'windows-2019'
@@ -319,7 +299,7 @@ jobs:
       set PATH=C:\ProgramData\Chocolatey\bin;C:\Program Files\CMake\bin;C:\tools\msys64\usr\local\bin;C:\tools\msys64\usr\bin;C:\tools\msys64\mingw64\bin;C:\windows;C:\windows\system32;C:\Windows;C:\Windows\System32\WindowsPowerShell\v1.0
       call C:\tools\msys64\msys2_shell.cmd -defterm -mingw64 -no-start -full-path -here -c "pacman -S --noconfirm mingw64/mingw-w64-x86_64-gcc"
       call C:\tools\msys64\msys2_shell.cmd -defterm -mingw64 -no-start -full-path -here -c "pacman -S --noconfirm mingw64/mingw-w64-x86_64-ninja"
-      call C:\tools\msys64\msys2_shell.cmd -defterm -mingw64 -no-start -full-path -here -c "ci/run.sh build-release -DCMAKE_CXX_COMPILER=""C:/Program Files/LLVM/bin/clang++.exe"" -DCPU_ARCH=avx -DCMAKE_CXX_FLAGS=--target=x86_64-w64-windows-gnu -DCMAKE_BUILD_TYPE=Release"
+      call C:\tools\msys64\msys2_shell.cmd -defterm -mingw64 -no-start -full-path -here -c "ci/run.sh build-release -DCMAKE_CXX_COMPILER=""C:/Program Files/LLVM/bin/clang++.exe"" -DKFR_ARCH=avx -DCMAKE_CXX_FLAGS=--target=x86_64-w64-windows-gnu -DCMAKE_BUILD_TYPE=Release"
 
 - job: Windows_MSVC_x86_64_AVX512_MSVC2019_Release
   timeoutInMinutes: 180
@@ -339,40 +319,41 @@ jobs:
       set PATH=%PATH:C:\Program Files\LLVM\bin;=%
       set PATH=%PATH:C:\Strawberry\c\bin;=%
       set PATH=C:\sde;%PATH%
-      ci\run.cmd build-release -DARCH_TESTS=ON -DUSE_SDE=ON -DCPU_ARCH=avx512 -DENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
-
-# - job: Windows_MSVC_x86_AVX512_MSVC2019_Release
-#   timeoutInMinutes: 180
-#   pool:
-#     vmImage: 'windows-2019'
-#   steps:
-#   - script: |
-#       choco uninstall mingw
-#       choco install ninja
-
-#       curl -o "$(Agent.TempDirectory)/sde.zip" -L $(SDE_URL_WINDOWS)
-#       "C:\Program Files\7-Zip\7z.exe" x -oC:\sde "$(Agent.TempDirectory)/sde.zip"
-
-#       call "C:\Program Files (x86)\Microsoft Visual Studio\2019\Enterprise\VC\Auxiliary\Build\vcvars32.bat"
-#       set PATH=%PATH:C:\tools\mingw64\bin;=%
-#       set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
-#       set PATH=%PATH:C:\Program Files\LLVM\bin;=%
-#       set PATH=%PATH:C:\Strawberry\c\bin;=%
-#       set PATH=C:\sde;%PATH%
-#       ci\run.cmd build-release -DARCH_TESTS=OFF -DUSE_SDE=ON -DCPU_ARCH=avx512 -DENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
-
-# - job: Windows_MSVC2022_x86_64_Release
-#   timeoutInMinutes: 180
-#   pool:
-#     vmImage: 'windows-2022'
-#   steps:
-#   - script: |
-#       choco uninstall mingw
-#       choco install ninja
-
-#       call "C:\Program Files\Microsoft Visual Studio\2022\Enterprise\VC\Auxiliary\Build\vcvars64.bat"
-#       set PATH=%PATH:C:\tools\mingw64\bin;=%
-#       set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
-#       set PATH=%PATH:C:\Program Files\LLVM\bin;=%
-#       set PATH=%PATH:C:\Strawberry\c\bin;=%
-#       ci\run.cmd build-release -DARCH_TESTS=OFF -DCPU_ARCH=detect -DENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
+      ci\run.cmd build-release -DKFR_ARCH_TESTS=ON -DKFR_USE_SDE=ON -DKFR_ARCH=avx512 -DKFR_ENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
+
+- job: Windows_MSVC_x86_AVX512_MSVC2019_Release
+  timeoutInMinutes: 180
+  pool:
+    vmImage: 'windows-2019'
+  steps:
+  - script: |
+      choco uninstall mingw
+      choco install ninja
+
+      curl -o "$(Agent.TempDirectory)/sde.zip" -L $(SDE_URL_WINDOWS)
+      "C:\Program Files\7-Zip\7z.exe" x -oC:\sde "$(Agent.TempDirectory)/sde.zip"
+
+      call "C:\Program Files (x86)\Microsoft Visual Studio\2019\Enterprise\VC\Auxiliary\Build\vcvars32.bat"
+      set PATH=%PATH:C:\tools\mingw64\bin;=%
+      set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
+      set PATH=%PATH:C:\Program Files\LLVM\bin;=%
+      set PATH=%PATH:C:\Strawberry\c\bin;=%
+      set PATH=C:\sde;%PATH%
+      ci\run.cmd build-release -DKFR_ARCH_TESTS=OFF -DKFR_USE_SDE=ON -DKFR_ARCH=avx512 -DKFR_ENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
+
+- job: Windows_MSVC2022_x86_64_Release
+  timeoutInMinutes: 180
+  pool:
+    vmImage: 'windows-2022'
+  steps:
+  - script: |
+      choco uninstall mingw
+      choco install ninja
+
+      call "C:\Program Files\Microsoft Visual Studio\2022\Enterprise\VC\Auxiliary\Build\vcvars64.bat"
+      set PATH=%PATH:C:\tools\mingw64\bin;=%
+      set PATH=%PATH:C:\Program Files\Git\mingw64\bin;=%
+      set PATH=%PATH:C:\Program Files\LLVM\bin;=%
+      set PATH=%PATH:C:\Strawberry\c\bin;=%
+      set JOBS=-j2
+      ci\run.cmd build-release -DKFR_ARCH_TESTS=sse2,sse42,avx,avx2 -DKFR_ARCH=sse2 -DKFR_ENABLE_DFT=OFF -DCMAKE_BUILD_TYPE=Release
diff --git a/capi/CMakeLists.txt b/capi/CMakeLists.txt
@@ -37,10 +37,13 @@ if (APPLE)
 endif ()
 
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELEASE ${PROJECT_BINARY_DIR}/bin)
+set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELWITHDEBINFO ${PROJECT_BINARY_DIR}/bin)
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_DEBUG ${PROJECT_BINARY_DIR}/bin)
 set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY_RELEASE ${PROJECT_BINARY_DIR}/lib)
+set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY_RELWITHDEBINFO ${PROJECT_BINARY_DIR}/lib)
 set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY_DEBUG ${PROJECT_BINARY_DIR}/lib)
 set(CMAKE_LIBRARY_OUTPUT_DIRECTORY_RELEASE ${PROJECT_BINARY_DIR}/lib)
+set(CMAKE_LIBRARY_OUTPUT_DIRECTORY_RELWITHDEBINFO ${PROJECT_BINARY_DIR}/lib)
 set(CMAKE_LIBRARY_OUTPUT_DIRECTORY_DEBUG ${PROJECT_BINARY_DIR}/lib)
 
 add_library(kfr_capi_all INTERFACE)
diff --git a/ci/build_capi_win.cmd b/ci/build_capi_win.cmd
@@ -6,7 +6,7 @@ echo Preparing directories...
 rmdir /s /q %build_dir%
 mkdir %build_dir%
 pushd %build_dir%
-set arguments=-DENABLE_DFT=ON -DENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER=C:/LLVM9/bin/clang-cl.exe
+set arguments=-DKFR_ENABLE_DFT=ON -DKFR_ENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER=C:/LLVM9/bin/clang-cl.exe
 echo Running cmake -GNinja %arguments%  ..
 cmake -GNinja %arguments% .. || exit /b
 echo Running ninja...
diff --git a/ci/run.cmd b/ci/run.cmd
@@ -7,7 +7,7 @@ pushd %build_dir%
 echo Running cmake -GNinja -DENABLE_TESTS=ON %* ..
 cmake -GNinja -DENABLE_TESTS=ON %* .. || exit /b
 echo Running ninja...
-ninja || exit /b
+ninja %JOBS% || exit /b
 echo Running tests...
 cd tests && ctest -V || exit /b
 popd
diff --git a/cmake/aarch64.cmake b/cmake/aarch64.cmake
@@ -18,11 +18,11 @@ set(TGT_TRIPLET aarch64-linux-gnu)
 
 set (ARM_ROOT "/usr/${TGT_TRIPLET}/include")
 if (NOT GCC_VER)
-    set (GCC_VER 5.4.0)
+    set (GCC_VER 7.5.0)
 endif ()
 set (SYS_PATHS "-isystem ${ARM_ROOT}/c++/${GCC_VER} -isystem ${ARM_ROOT}/c++/${GCC_VER}/backward -isystem ${ARM_ROOT}/c++/${GCC_VER}/${TGT_TRIPLET} -isystem ${ARM_ROOT}")
 
-set (ARM_COMMON_FLAGS "-target ${TGT_TRIPLET} -mcpu=cortex-a72 -static")
+set (ARM_COMMON_FLAGS "-std=gnu++17 -target ${TGT_TRIPLET} -mcpu=cortex-a72 -static")
 
 set (CMAKE_CXX_FLAGS "${SYS_PATHS} ${ARM_COMMON_FLAGS}" CACHE STRING "")
 set (CMAKE_C_FLAGS " ${SYS_PATHS} ${ARM_COMMON_FLAGS}" CACHE STRING "")
diff --git a/cmake/arm.cmake b/cmake/arm.cmake
@@ -17,13 +17,13 @@ set(TGT_TRIPLET arm-linux-gnueabihf)
 
 set (ARM_ROOT "/usr/${TGT_TRIPLET}/include")
 if (NOT GCC_VER)
-    set (GCC_VER 5.4.0)
+    set (GCC_VER 7.5.0)
 endif ()
 set (SYS_PATHS "-isystem ${ARM_ROOT}/c++/${GCC_VER} -isystem ${ARM_ROOT}/c++/${GCC_VER}/backward -isystem ${ARM_ROOT}/c++/${GCC_VER}/${TGT_TRIPLET} -isystem ${ARM_ROOT}")
 
 set (ARM_COMMON_FLAGS "-target ${TGT_TRIPLET} -mcpu=cortex-a15 -mfpu=neon-vfpv4 -mfloat-abi=hard -static")
 
-set (CMAKE_CXX_FLAGS "${SYS_PATHS} ${ARM_COMMON_FLAGS}" CACHE STRING "")
+set (CMAKE_CXX_FLAGS "-std=gnu++17 ${SYS_PATHS} ${ARM_COMMON_FLAGS}" CACHE STRING "")
 set (CMAKE_C_FLAGS " ${SYS_PATHS} ${ARM_COMMON_FLAGS}" CACHE STRING "")
 
 set (CMAKE_CXX_LINK_FLAGS " ${ARM_COMMON_FLAGS} ${CMAKE_CXX_LINK_FLAGS}")
diff --git a/docs/README.md b/docs/README.md
@@ -0,0 +1 @@
+See [KFR Documentation Index](docs/index.md)
diff --git a/docs/cxxdox.yml b/docs/cxxdox.yml
@@ -16,6 +16,7 @@ clang:
     - '-DKFR_ENABLE_FLAC=1'
     - '-DCMT_FORCE_GENERIC_CPU=1'
     - '-std=gnu++17'
+    - '-DDOCUMENTATION'
 
 input_directory: ../include/kfr
 
@@ -26,8 +27,10 @@ repository: https://github.com/kfrlib/kfr/blob/{TAG}/include/kfr/{FILE}#L{LINE}
 groups:
   filter: "Filter API"
   cpuid: "Runtime CPU detection"
-  cometa: "CoMeta - metaprogramming"
-  testo: "Testo - unit test"
+  cometa: "CoMeta"
+  testo: "Testo - Unit testing"
+  univector: "Vector"
+  tensor: "Tensor"
   dft: "DFT"
   binary_io: "Generic IO"
   audio_io: "Audio IO"
@@ -61,6 +64,6 @@ groups:
   expressions: "Expressions"
   generators: "Generator expressions"
   random: "PRNG functions and expressions"
-  array: "Array functions"
+  reducing: "Reducing functions"
   utility: "Utility functions"
   
 \ No newline at end of file
diff --git a/docs/docs/basics.md b/docs/docs/basics.md
@@ -0,0 +1,334 @@
+# Basics
+
+To include all KFR modules use `kfr/all.hpp` header. Note that DFT and IO modules need linking appropriate static libraries, `kfr_dft` and `kfr_io`.
+
+```c++
+#include <kfr/all.hpp>
+```
+
+Alternatively, you can include only the modules you need:
+
+```c++
+#include <kfr/base.hpp> // Functions, expressions
+#include <kfr/dft.hpp> // DFT/DCT and convolution
+#include <kfr/dsp.hpp> // DSP, Filters etc
+#include <kfr/io.hpp> // Audio file reading
+```
+
+## Types
+
+### SIMD vector
+
+`vec` is a template class that contains 1 or more elements and lets functions operate them in a machine-efficient way.
+
+The class synopsis:
+
+```c++
+template <typename T, size_t N>
+struct alignas(...) vec
+{
+    using value_type = T;
+
+    // Constructors
+    // broadcast scalar to all elements
+    vec(T broadcasting);
+    // initialize all elements 
+    template <typename... Ts>
+    vec(Ts... elements);
+    // concatenate vectors (sum(Ns...) == N)
+    template <size_t... Ns>
+    vec(const vec<T, Ns>&... concatenation);
+    // implicit element type conversion
+    template <typename U>
+    vec(const vec<U, N>& conversion);
+    ...
+
+    // element is a proxy class to get/set specific element
+    struct element
+    {
+    };
+
+    // Functions to access elements, const-versions omitted
+    // access by index
+    element operator[](size_t index);
+    // access first element
+    element front();
+    // access last element
+    element back();
+
+    // return size
+    size_t size() const;
+};
+template <typename... T>
+vec(T&&...) -> vec<std::common_type_t<T...>, sizeof...(T)>;
+```
+
+!!! note
+    The class implementation is specific to the target cpu, so `vec` class definition resides in `kfr::CMT_ARCH_NAME` namespace. For avx2 architecture it's `kfr::avx2`. The architecture namespace is declared inline, you should not use it directly, `kfr::vec` as treated by compiler as an alias for `kfr::CMT_ARCH_NAME::vec`.
+
+
+Use can omit the template parameters and let compiler deduce them for you:
+```c++
+vec x{ 10, 5, 2.5, 1.25 }; // vec<double, 4>
+
+some_function(vec{ 3, 2, 1 }); // vec<int, 3>
+```
+
+Vectors can be nested. `vec<vec<float, 2>, 2>` is a valid declaration.
+
+### 1D array
+
+`univector` is a template class that, based on the template parameter, may hold data in heap like `std::vector`, in its storage like `std::array` or hold pointer to external data like `std::span`.
+
+#### `univector<T>`
+
+This specialization holds data in heap. Memory is automatically aligned.
+
+`univector<T>` is derived from `std::vector<T>` but with KFR own allocator that provides alignment for memory allocation and contains all member functions and constructors from `std::vector<T, ...>`.
+
+#### `univector<T, Size>`
+
+This specialization holds data in its storage. `univector<T, Size>` is derived from `std::array<T>`and contains all member functions and constructors from `std::array<T>` but is properly aligned.
+
+`Size` must not be zero.
+
+#### `univector<T, 0>`
+
+This specialization works like `std::span` from C++20 and holds only pointer and size to external memory. Data alignment is preserved and cannot be enforced.
+
+For all specializations data is always contiguous in memory.
+
+#### Alignment
+
+For SIMD operations to be effective, data should be aligned to 16, 32 or 64 bytes boundary. Default STL allocator cannot provide such alignment, so holding data in `std::vector<T>` with defalt allocator may be suboptimal.
+
+KFR has its own STL-compatible allocator `kfr::data_allocator` that aligns memory to 64-bytes boundary. Using it with STL containers may increase performance.
+
+!!! note
+    Define `KFR_USE_STD_ALLOCATION` macro to make `data_allocator` an alias for `std::allocator`. This makes `univector`s interchangeable with `std::vector`s
+
+#### Passing 1D data to KFR functions
+
+Many KFR functions, such as DFT, receive and return data through `univector` class. If it's possible, use `univector` in your code as a storage for all data that may be passed to KFR functions. But if you already have data and need to pass it to KFR, you may use `make_univector` function that constructs `univector<T, 0>` from the pointer and the size or from a STL-compatible container (if `data()` and `size()` is defined).
+
+```c++
+std::vector<float> data; // existing data, or std::array<N, float>
+
+float val = rms(make_univector(data)); // No data copy
+```
+
+```c++
+const float* data; // existing data
+size_t size;       // 
+
+float val = rms(make_univector(data, size)); // No data copy
+```
+
+```c++
+const float data[1024];
+
+float val = rms(make_univector(data)); // No data copy
+```
+
+#### Slice
+
+You can get subrange of an array using `slice` function defined in all specializations of `univector` class. 
+
+```c++
+univector<float, 100> v;
+// ...
+const float s1 = sum(v); // Sum all elements
+const float s2 = sum(v.slice(2, 50)); // Sum 50 elements starting from 2
+```
+
+Result of the call to `slice` is always `univector<T, 0>`, a reference to external data.
+Not tat the lifetime of the reference is limited to the lifetime of the original data.
+
+!!! note
+    `univector` class is also [Expression](expressions.md) and can be used whereever expression is required.
+
+### Tensor (Multidimensional array)
+
+`tensor` is a class that holds or references multidimensional data and provides 
+a way to access individual elements and perform complex operations on the data.
+
+The number of elements in each axis of the array is defined by its _shape_.
+The number of dimensions is fixed at compile time.
+
+Tensor class synopsis:
+
+```c++
+
+struct memory_finalizer;
+
+// T is the element type
+// Dims is the number of dimensions
+template <typename T, index_t Dims>
+struct tensor
+{
+    using value_type = T;
+    using shape_type = shape<Dims>;
+
+    // iterates through flattened array
+    struct tensor_iterator;
+    
+    // iterates nested arrays
+    struct nested_iterator;
+
+    // construct from external pointer, shape, strides and finalizer
+    tensor(T* data, const shape_type& shape, const shape_type& strides,
+           memory_finalizer finalizer);
+
+    // construct from external pointer, shape and finalizer with default strides
+    tensor(T* data, const shape_type& shape, memory_finalizer finalizer);
+
+    // construct from shape and allocate memory
+    tensor(const shape_type& shape);
+
+    // construct from shape, strides and allocate memory
+    tensor(const shape_type& shape, const shape_type& strides);
+
+    // construct from shape, allocate memory and fill with value
+    tensor(const shape_type& shape, T value);
+
+    // construct from shape, strides, allocate memory and fill with value
+    tensor(const shape_type& shape, const shape_type& strides, T value);
+    
+    // construct from shape, allocate memory and fill with flat list
+    tensor(const shape_type& shape, const std::initializer_list<T>& values);
+    
+    // initialize with braced list. defined for 1D tensor only
+    template <typename U>
+    tensor(const std::initializer_list<U>& values);
+
+    // initialize with nested braced list. defined for 2D tensor only
+    template <typename U>
+    tensor(const std::initializer_list<std::initializer_list<U>>& values);
+    
+    // initialize with nested braced list. defined for 3D tensor only
+    template <typename U>
+    tensor(const std::initializer_list<std::initializer_list<std::initializer_list<U>>>& values)
+
+    // shape of tensor
+    shape_type shape() const;
+    // strides
+    shape_type strides() const;
+    
+    pointer data() const;
+    size_type size() const;
+    bool empty() const;
+    tensor_iterator begin() const;
+    tensor_iterator end() const;
+
+    // access individual element by index
+    value_type& access(const shape_type& index) const;
+
+    // access individual element by list of indices
+    value_type& operator()(size_t... index) const;
+    
+    // return subrange, individual axis or slice
+    template <typename... Index>
+    tensor<T, ...> operator()(const Index&...) const;
+
+    // return flattened array, see Reshaping below
+    tensor<T, 1> flatten() const;
+    // return reshaped array, see Reshaping below
+    template <index_t dims>
+    tensor<T, dims> reshape(const shape<dims>& new_shape) const;
+
+    // convert multidimensional tensor to string
+    template <typename Fmt = void>
+    std::string to_string(int max_columns = 16, int max_dimensions = INT_MAX, std::string separator = ", ",
+                          std::string open = "{", std::string close = "}") const;
+};
+```
+
+Iteration is always goes from the first axis to the last axis.
+
+By default the last axis is contiguous in memory but it can be changed with custom `strides`.
+
+```c++
+tensor<double, 1> t1{ 1, 2, 3, 4, 5, 6 };
+tensor<double, 2> t2{ {1, 2}, {3, 4}, {5, 6} };
+tensor<double, 3> t3{ {{1}, {2}}, {{3}, {4}}, {{5}, {6}} };
+// Memory layout for all these tensors is: 1, 2, 3, 4, 5, 6
+```
+
+!!! important `const`-qualified tensors are writable. This is to make it possible to pass a writable subrange to function without converting to lvalue.
+
+Tensor behaves like a shared pointer to memory (possibly allocated outside tensor class, see [Constructing tensor from external data](#constructing-tensor-from-external-data)) with automatic reference counting. Copy and assignment increments internal counter and the internal pointer still references the original data. 
+
+_Important_: Writing to one shared copy will modify all other copies of the this tensor too.
+To get a deep copy call the `copy` member function:
+
+```c++
+tensor<float, 2> t = other;
+t = t.copy();
+```
+
+#### Reshaping
+
+`reshape` and `flatten` functions perform reshaping and return new tensor that shares data with the original tensor.
+
+Not every tensor may be reshaped to any shape. The total number of elements must be same before and after reshaping.
+
+Also, to be able to share data the original tensor must be contiguous. If this requirement isn't meet, `reshape` and `flatten` functions throw `kfr::logic_error` exception. 
+There are variants of these functions called `reshape_may_copy` and `flatten_may_copy` that return a new tensor that does not share data with the original tensor in that cases.
+
+#### Slicing
+
+To slice the original array the special value constructed by `trange`, `tstart`, `tstop` or `tall` functions should be passed to tensor's `operator()`.
+
+```c++
+constexpr tensor_range trange(std::optional<signed_index_t> start = std::nullopt,
+                              std::optional<signed_index_t> stop  = std::nullopt,
+                              std::optional<signed_index_t> step  = std::nullopt)
+{
+    return { start, stop, step };
+}
+```
+
+If `start` is nullopt, the slice starts from the first element (or the last one if step is negative). If `stop` is nullopt, the slice ends at the last element (or the first one if step is negative).
+If `step` is nullopt or omitted, the step will be equal to 1.
+
+`tstart(start)` and `tstart(start, step)` are equivalents of calling `trange(start, nullopt, nullopt)` and `trange(start, nullopt, step)` and used to return the range starting from the `start` along the given axis.
+
+`tstop(stop)` and `tstop(stop, step)` are equivalents of calling `trange(nullopt, stop, nullopt)` and `trange(nullopt, stop, step)` and used to return the range stopping at the `stop` along the given axis.
+
+`tall()` is equivalent of `trange(nullopt, nullopt, nullopt)` and used to return the whole range of the given axis.
+
+Examples:
+
+```c++
+tensor<double, 2> t1(shape{ 8, 6 });
+// initialize tensor
+t1 = counter(0, 10, 1);
+// t1 =
+// {{ 0,  1,  2,  3,  4,  5,  6,  7},
+//  {10, 11, 12, 13, 14, 15, 16, 17},
+//  {20, 21, 22, 23, 24, 25, 26, 27},
+//  {30, 31, 32, 33, 34, 35, 36, 37},
+//  {40, 41, 42, 43, 44, 45, 46, 47},
+//  {50, 51, 52, 53, 54, 55, 56, 57}}
+
+// slice tensor
+tensor<double, 2> t2 = t(tstart(2), trange(2, 4));
+// t2 =
+// {{22, 23, 24},
+//  {32, 33, 34},
+//  {42, 43, 44},
+//  {52, 53, 54}}
+```
+
+#### Constructing tensor from external data
+
+```c++
+tensor<float, 1> fn(std::vector<float>&& v)
+{
+    tensor<float, 1> t = tensor_from_container(std::move(v));
+    // no data copy is performed. v is being moved to finalizer
+    // and tensor references original vector data
+    return t;
+}
+```
+
diff --git a/docs/docs/capi.md b/docs/docs/capi.md
@@ -0,0 +1,27 @@
+# KFR C API
+
+## Building KFR C API
+
+Clang is required. See [Installation](installation.md)
+
+### Windows
+
+These commands must be executed in MSVC2019 command prompt.
+
+```bash
+cd <path_to_kfr_repository>
+mkdir build && cd build
+cmake -GNinja -DENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER="<PATH_TO_LLVM_DIR>/bin/clang-cl.exe" ..
+ninja kfr_capi
+```
+
+### Linux, macOS, other
+
+```bash
+cd <path_to_kfr_repository>
+mkdir build && cd build
+cmake -GNinja -DENABLE_CAPI_BUILD=ON -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_COMPILER=clang++ ..
+ninja kfr_capi
+```
+
+Optionally, you can install the binaries into your system using `ninja install`
diff --git a/docs/docs/conv_reverb.md b/docs/docs/conv_reverb.md
@@ -0,0 +1,70 @@
+## How to apply Convolution Reverb
+
+### Mono version
+
+Input/Output data: [See how to pass data to KFR](basics.md)
+```c++
+univector<float> audio;
+univector<float> impulse_response;
+```
+Code
+```c++
+convolve_filter<float> reverb(impulse_response);
+reverb.apply(audio);
+```
+
+!!! note
+    `convolve_filter` uses [Filter API](auto/filter.md) and preserves its internal state between calls to `apply`.
+    Audio can be processed in chunks.
+    Use `reset` function to reset its internal state.
+
+    `convolve_filter` has zero latency.
+
+    Internally, [FFT](dft.md) is used for performing convolution
+
+### True stereo version
+
+Formula
+
+$$
+\begin{aligned}
+    out_{L} &= in_{L} * ir_{LL} + in_{R} * ir_{RL}\\
+    out_{R} &= in_{L} * ir_{LR} + in_{R} * ir_{RR}
+\end{aligned}
+$$
+
+where $*$ is convolution operator.
+
+Input/Output data:
+```c++
+univector<float, 2> stereo_audio;
+univector<float, 4> impulse_response;
+// impulse_response[0] is left to left
+// impulse_response[1] is right to left
+// impulse_response[2] is left to right
+// impulse_response[3] is right to right
+```
+Code
+```c++
+// Prepare filters
+convolve_filter<float> reverb_LL(impulse_response[0]);
+convolve_filter<float> reverb_LR(impulse_response[1]);
+convolve_filter<float> reverb_RL(impulse_response[2]);
+convolve_filter<float> reverb_RR(impulse_response[3]);
+
+// Allocate temp data
+univector<float> tmp1(stereo_audio[0].size());
+univector<float> tmp2(stereo_audio[0].size());
+univector<float> tmp3(stereo_audio[0].size());
+univector<float> tmp4(stereo_audio[0].size());
+
+// Apply convolution
+reverb_LL.apply(tmp1, audio[0]);
+reverb_RL.apply(tmp2, audio[1]);
+reverb_LR.apply(tmp3, audio[0]);
+reverb_RR.apply(tmp4, audio[1]);
+
+// final downmix
+audio[0] = tmp1 + tmp2;
+audio[1] = tmp3 + tmp4;
+```
diff --git a/docs/docs/convert_stereo.md b/docs/docs/convert_stereo.md
@@ -2,7 +2,7 @@
 
 ## L/R to M/S
 
-Input/output data. [See how to pass data to KFR](types.md)
+Input/output data. [See how to pass data to KFR](basics.md)
 ```c++
 univector<float> left;
 univector<float> right;
@@ -42,4 +42,4 @@ mono = (left + right) * 0.5f;
 or, depending on what results you want to get
 ```c++
 mono = left + right;
-```
-\ No newline at end of file
+```
diff --git a/docs/docs/convolution.md b/docs/docs/convolution.md
@@ -1,115 +1,50 @@
-# How to apply Convolution Reverb
+# Convolution filter details
 
-## Mono version
-
-Input/Output data: [See how to pass data to KFR](types.md)
-```c++
-univector<float> audio;
-univector<float> impulse_response;
-```
-Code
-```c++
-convolve_filter<float> reverb(impulse_response);
-reverb.apply(audio);
-```
-
-!!! note
-    `convolve_filter` uses [Filter API](filters.md) and preserves its internal state between calls to `apply`.
-    Audio can be processed in chunks.
-    Use `reset` function to reset its internal state.
-
-    `convolve_filter` has zero latency.
-
-    Internally, [FFT](dft.md) is used for performing convolution
-
-## True stereo version
-
-Formula
-
-$$
-\begin{aligned}
-    out_{L} &= in_{L} * ir_{LL} + in_{R} * ir_{RL}\\
-    out_{R} &= in_{L} * ir_{LR} + in_{R} * ir_{RR}
-\end{aligned}
-$$
-
-where $*$ is convolution operator.
-
-Input/Output data:
-```c++
-univector<float, 2> stereo_audio;
-univector<float, 4> impulse_response;
-// impulse_response[0] is left to left
-// impulse_response[1] is right to left
-// impulse_response[2] is left to right
-// impulse_response[3] is right to right
-```
-Code
-```c++
-// Prepare filters
-convolve_filter<float> reverb_LL(impulse_response[0]);
-convolve_filter<float> reverb_LR(impulse_response[1]);
-convolve_filter<float> reverb_RL(impulse_response[2]);
-convolve_filter<float> reverb_RR(impulse_response[3]);
-
-// Allocate temp data
-univector<float> tmp1(stereo_audio[0].size());
-univector<float> tmp2(stereo_audio[0].size());
-univector<float> tmp3(stereo_audio[0].size());
-univector<float> tmp4(stereo_audio[0].size());
-
-// Apply convolution
-reverb_LL.apply(tmp1, audio[0]);
-reverb_RL.apply(tmp2, audio[1]);
-reverb_LR.apply(tmp3, audio[0]);
-reverb_RR.apply(tmp4, audio[1]);
-
-// final downmix
-audio[0] = tmp1 + tmp2;
-audio[1] = tmp3 + tmp4;
-```
-
-# Implementation Details
+## Implementation Details
 
 The convolution filter efficiently computes the convolution of two signals.
 The efficiency is achieved by employing the FFT and the circular convolution
 theorem.  The algorithm is a variant of the [overlap-add
 method](https://en.wikipedia.org/wiki/Overlap%E2%80%93add_method).  It works on
-a fixed block size \(B\) for arbitrarily long input signals.  Thus, the
-convolution of a streaming input signal with a long FIR filter \(h[n]\) (where
-the length of \(h[n]\) may exceed the block size \(B\)) is computed with a
-fixed complexity \(O(B \log B)\).
-
-More formally, the convolution filter computes \(y[n] = (x * h)[n]\) by
-partitioning the input \(x\) and filter \(h\) into blocks and applies the
-overlap-add method. Let \(x[n]\) be an input signal of arbitrary length. Often,
-\(x[n]\) is a streaming input with unknown length.  Let \(h[n]\) be an FIR
-filter with \(M\) taps.  The convolution filter works on a fixed block size
-\(B=2^b\).
+a fixed block size $B$ for arbitrarily long input signals.  Thus, the
+convolution of a streaming input signal with a long FIR filter $h[n]$ (where
+the length of $h[n]$ may exceed the block size $B$) is computed with a
+fixed complexity $O(B \log B)$.
+
+More formally, the convolution filter computes $y[n] = (x * h)[n]$ by
+partitioning the input $x$ and filter $h$ into blocks and applies the
+overlap-add method. Let $x[n]$ be an input signal of arbitrary length. Often,
+$x[n]$ is a streaming input with unknown length.  Let $h[n]$ be an FIR
+filter with $M$ taps.  The convolution filter works on a fixed block size
+$B=2^b$.
 
 First, the input and filter are windowed and shifted to the origin to give the
-\(k\)-th block input \(x_k[n] = x[n + kB] , n=\{0,1,\ldots,B-1\},\forall
-k\in\mathbb{Z}\) and \(j\)-th block filter \(h_j[n] = h[n + jB] ,
-n=\{0,1,\ldots,B-1\},j=\{0,1,\ldots,\lfloor M/B \rfloor\}\).  The convolution
-\(y_{k,j}[n] = (x_k * h_j)[n]\) is efficiently computed with length \(2B\) FFTs
+$k$-th block input $x_k[n] = x[n + kB] , n=\{0,1,\ldots,B-1\},\forall k\in\mathbb{Z}$ and $j$-th block filter $h_j[n] = h[n + jB] ,n=\{0,1,\ldots,B-1\},j=\{0,1,\ldots,\lfloor M/B \rfloor\}$.  The convolution
+$y_{k,j}[n] = (x_k * h_j)[n]$ is efficiently computed with length $2B$ FFTs
 as
-\[
+
+$$
 y_{k,j}[n] = \mathrm{IFFT}(\mathrm{FFT}(x_k[n])\cdot\mathrm{FFT}(h_j[n]))
 .
-\]
+$$
 
 The overlap-add method sums the "overlap" from the previous block with the current block.
-To complete the \(k\)-th block, the contribution of all blocks of the filter
+To complete the $k$-th block, the contribution of all blocks of the filter
 are summed together to give
-\[ y_{k}[n] = \sum_j y_{k-j,j}[n] . \]
+
+$$ y_{k}[n] = \sum_j y_{k-j,j}[n] . $$
+
 The final convolution is then the sum of the shifted blocks
-\[ y[n] = \sum_k y_{k}[n - kB] . \]
-Note that \(y_k[n]\) is of length \(2B\) so its second half overlaps and adds
-into the first half of the \(y_{k+1}[n]\) block.
+
+$$ y[n] = \sum_k y_{k}[n - kB] . $$
+
+Note that $y_k[n]$ is of length $2B$ so its second half overlaps and adds
+into the first half of the $y_{k+1}[n]$ block.
 
 ## Maximum efficiency criterion
 
 To avoid excess computation or maximize throughput, the convolution filter
-should be given input samples in multiples of the block size \(B\).  Otherwise,
+should be given input samples in multiples of the block size $B$.  Otherwise,
 the FFT of a block is computed twice as many times as would be necessary and
 hence throughput is reduced.
+
diff --git a/docs/docs/css/fix.css b/docs/docs/css/fix.css
@@ -1,11 +1,21 @@
-.md-typeset .admonition, .md-typeset details { 
-    box-shadow: 0 2px 2px 0 rgba(0,0,0,.14) !important;
- }
-.md-typeset .admonition.abstract>.admonition-title, .md-typeset .admonition.abstract>summary, .md-typeset .admonition.summary>.admonition-title, .md-typeset .admonition.summary>summary, .md-typeset .admonition.tldr>.admonition-title, .md-typeset .admonition.tldr>summary, .md-typeset details.abstract>.admonition-title, .md-typeset details.abstract>summary, .md-typeset details.summary>.admonition-title, .md-typeset details.summary>summary, .md-typeset details.tldr>.admonition-title, .md-typeset details.tldr>summary
-{
-    background-color: rgba(0,176,255,.06);
-}
-.md-typeset .admonition.abstract, .md-typeset .admonition.summary, .md-typeset .admonition.tldr, .md-typeset details.abstract, .md-typeset details.summary, .md-typeset details.tldr
-{
+.md-typeset .admonition, .md-typeset details {
+    box-shadow: 0 2px 2px 0 rgba(0, 0, 0, .14) !important;
+}
+
+.md-typeset .admonition.abstract>.admonition-title, .md-typeset .admonition.abstract>summary, .md-typeset .admonition.summary>.admonition-title, .md-typeset .admonition.summary>summary, .md-typeset .admonition.tldr>.admonition-title, .md-typeset .admonition.tldr>summary, .md-typeset details.abstract>.admonition-title, .md-typeset details.abstract>summary, .md-typeset details.summary>.admonition-title, .md-typeset details.summary>summary, .md-typeset details.tldr>.admonition-title, .md-typeset details.tldr>summary {
+    background-color: rgba(0, 176, 255, .06);
+}
+
+.md-typeset .admonition.abstract, .md-typeset .admonition.summary, .md-typeset .admonition.tldr, .md-typeset details.abstract, .md-typeset details.summary, .md-typeset details.tldr {
     border-left: none;
-}
-\ No newline at end of file
+}
+
+[data-md-color-scheme=slate] {
+    --md-default-bg-color: hsla(var(--md-hue), 15%, 9%, 1);
+    --md-typeset-a-color: #7d8eef;
+}
+
+:root {
+    --md-primary-fg-color: #4051b5;
+    --md-accent-fg-color: #526cfe;
+}
diff --git a/docs/docs/dft.md b/docs/docs/dft.md
@@ -10,7 +10,7 @@ For power of 2 sizes, it uses Fast Fourier Transform.
 
 ### Complex input/output
 
-Apply the FFT to the complex input data: [See how to pass data to KFR](types.md)
+Apply the FFT to the complex input data: [See how to pass data to KFR](basics.md)
 
 ```c++
 // prepare data (0, 1, 2, ..., 255)
diff --git a/docs/docs/expressions.md b/docs/docs/expressions.md
@@ -1,19 +1,47 @@
 # Expressions
 
-Calling functions on arrays of data is performed lazily using C++ template expressions.
+In KFR, all data is represented through _Expression_ concept.
+Expression is a virtual multidimensional array consisting of elements that can be read (Input expression) or written to (Output expression).
+Expression can have specific size or have infinite size in any dimension. Its size may be known at compile time or at runtime only.
+
+The number of dimensions must be known at compile time.
+
+Normally, expressions do not own any data and can be seen as _data generators_ with any algorithm under the hood. But classes owning data (`tensor` and `univector`) provide expression interface as well. Since KFR5 you can make expression from any user defined or `std` type.
+
+Expressions can refer to other expressions as its arguments.
+prvalue expressions are captured by value and moved to expression storage.
+lvalue expressions are captured by reference. 
+The latter may cause dangling references if the resulting expression is used outside of its arguments scope. As always, `std::move` forces variable to be captured by value.
+
+The following function creates Expression that represents a virtual 3-dimensional array with elements starting from 0 at $(0,0,0)$ index
+and incremented by $1$, $10$ and $100$ along each axis.
+```
+counter(0, 1, 10, 100)
+```
+
+To get a single element from Expression, call `get_element` function. It takes the expression itself and the index.
+```
+get_element(counter(0, 1, 10, 100), {1, 2, 3}) == 321
+```
+
+Calling functions or operators on expressions or arrays of data is performed lazily in KFR.
 This allows better optimization and does not require saving temporary data.
 
-For example, subtracting one univector from another gives expression type, not univector:
+Internally a C++ technique called [Expression templates](https://en.wikipedia.org/wiki/Expression_templates) is used but expressions processing is explicitly vectorized in KFR. You can control some aspects of vectorization.
+
+## Functions and operators
+
+For example, subtracting one univector from another produces expression, not univector:
 
 ```c++
 univector<int, 5> x{1, 2, 3, 4, 5};
 univector<int, 5> y{0, 0, 1, 10, -5};
 
-auto z = x - y; // z is of type expression, not univector. 
+auto z = x - y; // z is of type expression_function<...>, not univector. 
                 // This only constructs an expression and does not perform any calculation
 ```
 
-But you can always convert expression back to univector to get actual data:
+You should assign expression to a univector (or tensor) to get the data:
 
 ```c++
 univector<int, 5> x{1, 2, 3, 4, 5};
@@ -23,20 +51,148 @@ univector<int, 5> z = x - y;
 ```
 
 !!! note
-    when an expression is assigned to a `univector` variable, expression is evaluated
-    and values are being written to the variable.
+    when an expression is assigned to a `univector` variable, expression is evaluated in `process` function and values are being written to the target storage.
 
-Same applies to calling KFR functions on univectors, this doesn't calculate value immediately. Instead, new expression will be created.
+Same applies to calling KFR functions on univectors, this doesn't calculate values immediately. Instead, new expression will be created.
 
 ```c++
 univector<float, 5> x{1, 2, 3, 4, 5};
 sqrt(x);                                // only constructs an expression
-univector<float, 5> values = sqrt(x);   // constructs an expression and writes data to univector  
+univector<float, 5> values = sqrt(x);   // constructs an expression and writes data to univector
+```
+
+Element type of an input expressions can be determined by using `expression_value_type<Expr>` (In KFR4 it was `value_type_of<Expr>`). Since KFR5 all expressions have their type specified.
+
+### Writing custom expressions
+
+To turn a user-defined class into expression, you should define
+`kfr::expression_traits<Class>` and provide typedefs and function to work with it.
+
+Input expressions must implement `get_elements` function to retrieve elements at given index.
+
+Output expressions must implement `set_elements` function to set its elements.
+
+Example of input expression:
+
+```c++
+#include <kfr/all.hpp>
+
+namespace kfr
+{
+
+template <typename T, index_t Size>
+struct identity_matrix
+{
+};
+
+template <typename T, index_t Size>
+struct expression_traits<identity_matrix<T, Size>> : expression_traits_defaults
+{
+    // element type for expression
+    using value_type             = T;
+
+    // number of dimensions, must be known at compile time
+    constexpr static size_t dims = 2;
+
+    // function to retrieve shape (size) of matrix, runtime version
+    constexpr static shape<2> get_shape(const identity_matrix<T, Size>& self) { return { Size, Size }; }
+
+    // function to retrieve shape (size) of matrix, compile time version
+    // if the size is unknown at compile time the function must be still defined
+    // but return undefined_size for every axis with unknown size
+    constexpr static shape<2> get_shape() { return { Size, Size }; }
+};
+
+template <typename T, index_t Size, index_t Axis, size_t N>
+vec<T, N> get_elements(const identity_matrix<T, Size>& self, const shape<2>& index,
+                       const axis_params<Axis, N>& sh)
+{
+    // identity matrix expression returns 1 if col==row, 0 otherwise
+    // indices<A> returns indices for given axis taking vectorization into account
+    // select is a SIMD-enabled ternary operator function
+    return select(indices<0>(index, sh) == indices<1>(index, sh), 1, 0);
+}
+
+}
+
+int main()
+{
+    using namespace kfr;
+    // Create identity_matrix expression with 9 cols/rows,
+    // Render it to tensor class (trender)
+    // Convert to string with maximum 16 columns of values
+    // And 0 dimensions collapsed (to_string).
+    println(trender(identity_matrix<float, 9>{}).to_string(16, 0));
+}
 ```
 
-Input expressions can be read from and output expressions can be written to. Class can be an input and output expression at same time. `univector` is an example of such class.
+**Output**:
+
+```c++
+{{1, 0, 0, 0, 0, 0, 0, 0, 0},
+ {0, 1, 0, 0, 0, 0, 0, 0, 0},
+ {0, 0, 1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, 1, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 1, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0, 1, 0, 0, 0},
+ {0, 0, 0, 0, 0, 0, 1, 0, 0},
+ {0, 0, 0, 0, 0, 0, 0, 1, 0},
+ {0, 0, 0, 0, 0, 0, 0, 0, 1}}
+```
+
+Expression may be defined in a compact form using only a single class:
+
+```c++
+template <typename T, index_t Size>
+struct identity_matrix : expression_traits_defaults
+{
+    using value_type             = T;
+
+    constexpr static size_t dims = 2;
+    constexpr static shape<2> get_shape(const identity_matrix& self) { return { Size, Size }; }
+    constexpr static shape<2> get_shape() { return { Size, Size }; }
+
+    template <index_t Axis, size_t N>
+    friend vec<T, N> get_elements(const identity_matrix& self, const shape<2>& index,
+                                  const axis_params<Axis, N>& sh)
+    {
+        return select(indices<0>(index, sh) == indices<1>(index, sh), 1, 0);
+    }
+};
+
+```
+
+The same class with the size defined at runtime.
+
+```c++
+template <typename T>
+struct identity_matrix : expression_traits_defaults
+{
+    using value_type             = T;
+
+    constexpr static size_t dims = 2;
+    constexpr static shape<2> get_shape(const identity_matrix& self) { return { self.size, self.size }; }
+    // undefined_size means size is not known at compile time
+    constexpr static shape<2> get_shape() { return { undefined_size, undefined_size }; }
+
+    template <index_t Axis, size_t N>
+    friend vec<T, N> get_elements(const identity_matrix& self, const shape<2>& index,
+                                  const axis_params<Axis, N>& sh)
+    {
+        return select(indices<0>(index, sh) == indices<1>(index, sh), 1, 0);
+    }
+
+    index_t size;
+};
+
+```
+
+### Reducing functions
+
+Reducing functions accept 1D [Expression](expressions.md) and produce scalar.
 
-Data type of an input expressions can be determined by using `value_type_of<Expression>`. However, not all expressions have their types specified.
-In such cases `value_type_of` will return special type `generic`.
+Some of the reducing functions are:
+`sum`, `rms`, `mean`, `dotproduct`, `product`, `sumsqr`.
 
-Size (length) of an expression also can be specified or not. `counter` is an example of generic (untyped) expression without the size.
-\ No newline at end of file
+Some of reducing functions have the same names as corresponding regular functions but with `of` suffix to distinguish them: 
+`minof`, `maxof`, `absmaxof`, `absminof`
diff --git a/docs/docs/file_support.md b/docs/docs/file_support.md
@@ -4,7 +4,8 @@
 
 * wav: 16-,24-,32-bit signed, 32-,64-bit IEEE
 * wav W64: 16-,24-,32-bit signed, 32-,64-bit IEEE
-* flac
+* FLAC
+* MP3
 
 ## Writing
 
diff --git a/docs/docs/fir.md b/docs/docs/fir.md
@@ -4,7 +4,7 @@
 
 ```c++ linenums="1"
 // Initialize window function
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps.size(), 3.0));
 
 // Initialize taps
 univector<float, 7> taps;
@@ -85,4 +85,4 @@ filter.apply(output, input);
 
 See also [Filter class definition](auto/filter.md)
 
-[See also a gallery with results of applying various FIR filters](fir_gallery.md)
-\ No newline at end of file
+[See also a gallery with results of applying various FIR filters](fir_gallery.md)
diff --git a/docs/docs/fir_gallery.md b/docs/docs/fir_gallery.md
@@ -5,7 +5,7 @@
 Code
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 
 // Fill taps127 with the band pass FIR filter coefficients using kaiser window and cutoff=0.2 and 0.4
 fir_bandpass(taps127, 0.2, 0.4, kaiser, true);
@@ -22,7 +22,7 @@ Result
 Code
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 
 // Fill taps127 with the band stop FIR filter coefficients using kaiser window and cutoff=0.2 and 0.4
 fir_bandstop(taps127, 0.2, 0.4, kaiser, true);
@@ -39,7 +39,7 @@ Result
 Code
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 
 // Fill taps127 with the high pass FIR filter coefficients using kaiser window and cutoff=0.2
 fir_highpass(taps127, 0.2, kaiser, true);
@@ -56,7 +56,7 @@ Result
 Code
 ```c++ linenums="1"
 univector<fbase, 8191> taps8191;
-expression_pointer<fbase> blackman_harris = to_pointer(window_blackman_harris(taps8191.size()));
+expression_handle<fbase> blackman_harris = to_handle(window_blackman_harris(taps8191.size()));
 
 // Fill taps8191 with the low pass FIR filter coefficients using blackman harris window and cutoff=0.15
 fir_lowpass(taps8191, 0.15, blackman_harris, true);
@@ -77,7 +77,7 @@ Result
 Code
 ```c++ linenums="1"
 univector<fbase, 15> taps15;
-expression_pointer<fbase> hann = to_pointer(window_hann(taps15.size()));
+expression_handle<fbase> hann = to_handle(window_hann(taps15.size()));
 
 // Fill taps15 with the low pass FIR filter coefficients using hann window and cutoff=0.15
 fir_lowpass(taps15, 0.15, hann, true);
@@ -95,7 +95,7 @@ Code
 
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 
 // Fill taps127 with the low pass FIR filter coefficients using kaiser window and cutoff=0.2
 fir_lowpass(taps127, 0.2, kaiser, true);
@@ -110,7 +110,7 @@ Result
 
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 fir_bandstop(taps127, 0.2, 0.4, kaiser, true);
 // Initialize FIR filter with float input/output and fbase taps
 filter_fir<fbase, float> fir_filter(taps127);
@@ -130,7 +130,7 @@ Result
 
 ```c++ linenums="1"
 univector<fbase, 127> taps127;
-expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 fir_bandpass(taps127, 0.2, 0.4, kaiser, true);
 // Initialize FIR filter with float input/output and fbase taps
 filter_fir<fbase, float> fir_filter(taps127);
@@ -144,4 +144,4 @@ plot_save("filtered_noise2", filtered_noise2, "title='Filtered noise 2', div_by_
 ```
 
 Result
-![filtered_noise.svg](img/filtered_noise2.svg)
-\ No newline at end of file
+![filtered_noise.svg](img/filtered_noise2.svg)
diff --git a/docs/docs/iir_gallery.md b/docs/docs/iir_gallery.md
@@ -0,0 +1,213 @@
+# IIR filters code & examples
+
+## Table of Contents
+
+* [24th-order Bessel filter, lowpass 1khz](#24th-order-bessel-filter-lowpass-1khz)
+* [12th-order Bessel filter, lowpass 1khz](#12th-order-bessel-filter-lowpass-1khz)
+* [6th-order Bessel filter, lowpass 1khz](#6th-order-bessel-filter-lowpass-1khz)
+* [24th-order Butterworth filter, lowpass 1khz](#24th-order-butterworth-filter-lowpass-1khz)
+* [12th-order Butterworth filter, lowpass 1khz](#12th-order-butterworth-filter-lowpass-1khz)
+* [12th-order Butterworth filter, highpass 1khz](#12th-order-butterworth-filter-highpass-1khz)
+* [12th-order Butterworth filter, bandpass](#12th-order-butterworth-filter-bandpass)
+* [12th-order Butterworth filter, bandstop](#12th-order-butterworth-filter-bandstop)
+* [4th-order Bessel filter, bandpass](#4th-order-bessel-filter-bandpass)
+* [8th-order Chebyshev type I filter, lowpass](#8th-order-chebyshev-type-i-filter-lowpass)
+* [8th-order Chebyshev type II filter, lowpass](#8th-order-chebyshev-type-ii-filter-lowpass)
+
+## 24th-order Bessel filter, lowpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(bessel<fbase>(24), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("bessel_lowpass24", output, options + ", title='24th-order Bessel filter, lowpass 1khz'");
+
+```
+Result
+
+![bessel_lowpass24](img/bessel_lowpass24.svg)
+
+
+## 12th-order Bessel filter, lowpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(bessel<fbase>(12), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("bessel_lowpass12", output, options + ", title='12th-order Bessel filter, lowpass 1khz'");
+
+```
+Result
+
+![bessel_lowpass12](img/bessel_lowpass12.svg)
+
+## 6th-order Bessel filter, lowpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(bessel<fbase>(6), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("bessel_lowpass6", output, options + ", title='6th-order Bessel filter, lowpass 1khz'");
+```
+Result
+
+![bessel_lowpass6](img/bessel_lowpass6.svg)
+
+## 24th-order Butterworth filter, lowpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(butterworth<fbase>(24), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_lowpass24", output,
+              options + ", title='24th-order Butterworth filter, lowpass 1khz'");
+```
+Result
+
+![butterworth_lowpass24](img/butterworth_lowpass24.svg)
+
+
+## 12th-order Butterworth filter, lowpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(butterworth<fbase>(12), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_lowpass12", output,
+              options + ", title='12th-order Butterworth filter, lowpass 1khz'");
+```
+Result 
+
+![butterworth_lowpass12](img/butterworth_lowpass12.svg)
+
+## 12th-order Butterworth filter, highpass 1khz
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_highpass(butterworth<fbase>(12), 1000, 48000);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_highpass12", output,
+              options + ", title='12th-order Butterworth filter, highpass 1khz'");
+```
+Result
+
+![butterworth_highpass12](img/butterworth_highpass12.svg)
+
+## 12th-order Butterworth filter, bandpass
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_bandpass(butterworth<fbase>(12), 0.1, 0.2);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_bandpass12", output,
+              options + ", title='12th-order Butterworth filter, bandpass'");
+```
+Result
+
+![butterworth_bandpass12](img/butterworth_bandpass12.svg)
+
+## 12th-order Butterworth filter, bandstop
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_bandstop(butterworth<fbase>(12), 0.1, 0.2);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_bandstop12", output,
+              options + ", title='12th-order Butterworth filter, bandstop'");
+```
+Result
+
+![butterworth_bandstop12](img/butterworth_bandstop12.svg)
+
+## 4th-order Butterworth filter, bandpass
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_bandpass(butterworth<fbase>(4), 0.005, 0.9);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("butterworth_bandpass4", output, options + ", title='4th-order Butterworth filter, bandpass'");
+```
+Result
+
+![butterworth_bandpass4](img/butterworth_bandpass4.svg)
+
+## 8th-order Chebyshev type I filter, lowpass
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(chebyshev1<fbase>(8, 2), 0.09);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("chebyshev1_lowpass8", output,
+              options + ", title='8th-order Chebyshev type I filter, lowpass'");
+```
+Result
+
+![chebyshev1_lowpass8](img/chebyshev1_lowpass8.svg)
+
+## 8th-order Chebyshev type II filter, lowpass
+
+Code
+```c++ linenums="1"
+const std::string options = "phaseresp=True, log_freq=True, freq_dB_lim=(-160, 10), padwidth=8192";
+constexpr size_t maxorder = 32;
+univector<fbase, 1024> output;
+
+zpk<fbase> filt                       = iir_lowpass(chebyshev2<fbase>(8, 80), 0.09);
+std::vector<biquad_params<fbase>> bqs = to_sos(filt);
+output                                = biquad<maxorder>(bqs, unitimpulse());
+plot_save("chebyshev2_lowpass8", output,
+              options + ", title='8th-order Chebyshev type II filter, lowpass'");
+```
+Result
+
+![chebyshev2_lowpass8](img/chebyshev2_lowpass8.svg)
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diff --git a/docs/docs/index.md b/docs/docs/index.md
@@ -1,62 +1,41 @@
-# KFR
-
-## Features
-
-* All code in the library is optimized for Intel, AMD (SSE2, SSE3, SSE4.x, AVX and AVX2 and AVX512) and ARM (NEON) processors
-* Mathematical and statistical functions
-* Template expressions (See examples)
-* All data types are supported including complex numbers
-* All vector lengths are also supported. `vec<float,1>`, `vec<unsigned,3>`, `vec<complex<float>, 11>` all are valid vector types in KFR
-* Most of the standard library functions are re-implemented to support vector of any length and data type and to support expressions 
-* Runtime cpu detection
-* C API: DFT, real DFT, DCT, FIR and IIR filters and convolution, memory allocation
-  * Built for SSE2, SSE4.1, AVX, AVX2, AVX512, x86 and x86_64, architecture is selected at runtime
-  * Can be used with any compiler and any language with ability to call C functions
-  * [Prebuilt Windows binaries](https://github.com/kfrlib/kfr/releases)
-
-### DSP/Audio algorithms
-
-* [FFT](dft.md)
-* DCT
-* [Convolution](convolution.md)
-* [FIR filtering](fir.md)
-* [FIR filter design using the window method](fir.md)
-* [Resampling with configurable quality](src.md) (See resampling.cpp from Examples directory)
-* IIR filter design
-  * Butterworth
-  * Chevyshev I and Chevyshev II
-  * Bessel
-  * Low pass, high pass, band pass, band stop
-  * Convert arbitrary filter from Z, P, K format to SOS suitable for biquad function
-* Goertzel algorithm
-* Fractional delay
-* [Biquad filtering](bq.md)
-* [Biquad design functions](bq.md)
-* Oscillators: Sine, Square, Sawtooth, Triangle
-* Window functions: Triangular, Bartlett, Cosine, Hann, Bartlett-Hann, Hamming, Bohman, Blackman, Blackman-Harris, Kaiser, Flattop, Gaussian, Lanczos, Rectangular
-* [Audio file reading/writing (wav, flac, mp3)](read_audio.md)
-* Pseudorandom number generator
-* Sorting
-* Color space conversion (sRGB, XYZ, Lab, LCH)
-* Ring (Circular) buffer
-* Simple waveshaper
-* Fast incremental sine/cosine generation
-* [EBU R 128](ebur128.md)
-
-## Installation
-
-[GitHub:kfrlib/kfr/blob/master/README.md](https://github.com/kfrlib/kfr/blob/master/README.md#usage)
-
-## Compiler support
-
-Xcode | Visual Studio | Clang | GCC | Intel Compiler
------ | ------------- | ----- | --- | --------------
-9+    | 2017          | 6+    | 7+  | Experimental
-
-Tested on macOS, Windows (MinGW, MSYS and MSVC), Linux, iOS, Android.
-
-## Architecture support
-
-x86, x86_64 | ARM, ARM64 |
------ | -------------
-Scalar, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2, AVX, AVX2, AVX512  | Scalar, NEON, NEON64
+# KFR 5 Documentation
+
+## Getting started
+
+* [What's new in KFR 5](whatsnew5.md)
+* [Installation](installation.md)
+* [Basics](basics.md)
+* [Expressions](expressions.md)
+* [C API](capi.md)
+
+## Guides
+
+### DSP
+* [How to apply a FIR filter](fir.md)
+* [How to apply a Biquad filter](bq.md)
+* [How to do Sample Rate Conversion](src.md)
+* [How to apply Convolution Reverb](conv_reverb.md)
+* [How to measure loudness according to EBU R 128](ebur128.md)
+* [How to convert sample type](conversion.md)
+* [How to normalize audio](normalize.md)
+* [How to mix stereo channels](convert_stereo.md)
+* [FIR filters code & examples](fir_gallery.md)
+* [IIR filters code & examples](iir_gallery.md)
+* [Biquad filters code & examples](bq_gallery.md)
+* [Sample Rate Converter code & examples](src_gallery.md)
+* [Window functions code & examples](window_gallery.md)
+* [Convolution filter details](convolution.md)
+
+### FFT
+* [How to apply Fast Fourier Transform](dft.md)
+* [More about FFT/DFT](dft2.md)
+* [DFT data layout](dft_format.md)
+
+### I/O
+* [How to read WAV file](read_audio.md)
+* [File types support](file_support.md)
+* [How to plot filter impulse response](plot.md)
+
+## Function reference
+
+* [Function reference](auto/refindex.md)
diff --git a/docs/docs/installation.md b/docs/docs/installation.md
@@ -0,0 +1,257 @@
+# Installation
+
+## Support
+
+KFR is tested and supported on the following systems and architectures:
+
+**OS** • Windows • Linux • macOS • iOS • Android
+
+**CPU** • x86 • x86_64 • ARM • ARM64 (AArch64)
+
+**x86 extensions** • SSE2 • SSE3 • SSSE3 • SSE4.1 • SSE4.2 • AVX • AVX2 • AVX512 • FMA
+
+**ARM extensions** • NEON
+
+**Compiler** • GCC7+ • Clang 9+ • MSVC2019+ • Xcode 10.3+
+
+## Prerequisites
+
+* CMake 3.10 or newer for building tests and examples
+* Python 3.6+ for running examples
+* (recommended) Ninja (https://ninja-build.org/) for faster builds
+
+For running examples and generating the frequency responses of the filters some python packages are required:
+
+```bash
+# in the kfr directory
+pip install -r requirements.txt
+```
+
+### Clang
+
+Clang is highly recommended and proven to provide the best performance for KFR. 
+
+#### Linux
+
+Install clang using your package manager and add the following defines to the cmake command line:
+
+```bash
+cmake -DCMAKE_CXX_COMPILER=clang++ -DCMAKE_C_COMPILER=clang ...
+```
+
+#### macOS
+
+On macOS clang is the default compiler and already included in the official Xcode toolchain. No additional setup required.
+
+#### Windows
+
+Download and install the latest `win64` build from the official LLVM GitHub page:
+
+https://github.com/llvm/llvm-project/releases
+
+## Getting the source code and binaries
+
+### Git (recommended)
+
+To obtain the full source code, including examples and tests, you can clone the git repository:
+
+```
+git clone https://github.com/kfrlib/kfr.git
+```
+
+The repository default branch `master` is stable and passes all tests. Latest features reside in `dev`.
+
+#### Update
+
+```bash
+# in the kfr directory
+git pull
+```
+
+### Tarball/zip
+
+Download the latest release package from the GitHub releases:
+
+https://github.com/kfrlib/kfr/releases
+
+#### Update
+
+Re-download tarball and unpack it to the same location.
+
+### vcpkg
+
+#### Linux/macOS
+```bash
+./vcpkg install kfr
+```
+
+#### Windows
+
+```cmd
+vcpkg install kfr
+```
+
+### ArchLinux Package
+KFR is available on the [ArchLinux User Repository](https://wiki.archlinux.org/index.php/Arch_User_Repository) (AUR).
+You can install it with an [AUR helper](https://wiki.archlinux.org/index.php/AUR_helpers), like [`yay`](https://aur.archlinux.org/packages/yay/), as follows:
+
+```bash
+yay -S kfr
+```
+To discuss any issues related to this AUR package refer to the comments section of
+[`kfr`](https://aur.archlinux.org/packages/kfr/).
+
+Prebuilt binaries will be available soon.
+
+## Usage
+
+### Including in CMake project
+
+`CMakeLists.txt` contains these libraries:
+* `kfr` - header only interface library
+* `kfr_dft` - static library for DFT and related algorithms
+* `kfr_io` - static library for file IO and audio IO
+
+```cmake
+# Include KFR subdirectory
+add_subdirectory(kfr)
+
+# Add header-only KFR to your executable or library, this sets include directories etc
+target_link_libraries(your_executable_or_library kfr)
+
+# Add KFR DFT to your executable or library, (cpp file will be built for this)
+target_link_libraries(your_executable_or_library kfr_dft)
+
+# Add KFR IO to your executable or library, (cpp file will be built for this)
+target_link_libraries(your_executable_or_library kfr_io)
+```
+
+### Makefile, command line etc (Unix-like systems)
+
+```bash
+# Add this to command line
+-Ipath_to_kfr/include
+
+# And this if needed
+-lkfr_dft -lkfr_io
+
+# C++17 mode must be enabled
+-std=c++17
+# or
+-std=gnu++17
+
+# linker options (requires kfr to be installed)
+-lkfr_dft -lkfr_io
+```
+
+### Linux
+
+#### Prerequisites
+
+* GCC 7 or newer
+* Clang 9.0 or newer (recommended)
+
+#### Command line
+
+```bash
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER=clang++ -DCMAKE_BUILD_TYPE=Release ..
+make -- -j
+```
+Or using Ninja (better):
+```bash
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER=clang++ -DCMAKE_BUILD_TYPE=Release ..
+ninja
+```
+
+### macOS
+
+#### Prerequisites
+
+* Xcode 10.3 or later
+
+#### Command line
+Using Xcode project:
+```bash
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -GXcode -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
+cmake --build .
+```
+Using Unix Makefiles:
+```bash
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -G"Unix Makefiles" -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
+make -- -j
+```
+Or using Ninja (better):
+```bash
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
+ninja
+```
+
+### Visual Studio
+
+#### Prerequisites
+* Visual Studio 2019 or later
+* Latest Clang (https://llvm.org/)
+* Ninja is highly recommended because Visual Studio does not support parallel build with Clang at this moment.
+
+#### Visual Studio IDE
+
+To work with KFR in Visual Studio you must add the path to the `include` directory inside KFR directory to the list of the project's include directories.<br>
+More details:
+https://learn.microsoft.com/en-us/cpp/build/reference/vcpp-directories-property-page?view=msvc-160
+
+Make sure that LLVM toolset is set for the project.
+
+Download and install the official LLVM toolchain extension:
+https://marketplace.visualstudio.com/items?itemName=LLVMExtensions.llvm-toolchain
+
+More details:
+https://docs.microsoft.com/en-us/cpp/ide/general-property-page-project?view=vs-2017
+
+LLVM/Clang has very good compatibility with MSVC ABI and is widely used for building large projects on Windows (including Chrome), so switching to LLVM/Clang should not cause any compatibility problems.
+
+#### Command line
+Using Ninja:
+```
+cd <path_to_kfr>
+mkdir build && cd build
+call "C:\<path to your Visual Studio installation>\VC\Auxiliary\Build\vcvars64.bat"
+cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_CXX_COMPILER="C:/Program Files/LLVM/bin/clang-cl.exe" -DCMAKE_BUILD_TYPE=Release ..
+ninja
+```
+Or generate Visual Studio solution (building will be slower):
+```
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -G"Visual Studio 16 2019 Win64" -DENABLE_TESTS=ON -Tllvm -DCMAKE_BUILD_TYPE=Release ..
+```
+
+### MinGW/MSYS
+
+#### Prerequisites
+* Latest MinGW or MSYS2
+* Clang 9.0 or newer
+
+Using Makefiles:
+```
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
+make -- -j
+```
+Using Ninja:
+```
+cd <path_to_kfr>
+mkdir build && cd build
+cmake -GNinja -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
+ninja
+```
diff --git a/docs/docs/normalize.md b/docs/docs/normalize.md
@@ -2,7 +2,7 @@
 
 ## One channel
 
-Input/Output data: [See how to pass data to KFR](types.md)
+Input/Output data: [See how to pass data to KFR](basics.md)
 ```c++
 univector<float> audio;
 ```
@@ -45,4 +45,4 @@ unpack(stereo[0], stereo[1]) = pack(stereo[0], stereo[1]) / pack(peak, peak);
 1. `absmaxof` function calculates the absolute maximum of the concatenated arrays
 1. `pack` function combines two arrays as if it were a single array containing pairs of values
 1. `operator/` divides pairs by the peak value
-1. `unpack` function unpacks the pairs to two target arrays
-\ No newline at end of file
+1. `unpack` function unpacks the pairs to two target arrays
diff --git a/docs/docs/src_gallery.md b/docs/docs/src_gallery.md
@@ -1,18 +1,18 @@
 # Sample Rate Converter code & examples
 
-### High quality preset
-![kfr1.png](https://kfr.dev/storage/app/media/src-kfr1.png)
+## High quality preset
+![kfr1.png](img/src-kfr1.png)
 
-![kfr2.png](https://kfr.dev/storage/app/media/src-kfr2.png)
+![kfr2.png](img/src-kfr2.png)
 
-### High quality preset (taps=2048)
+## High quality preset (taps=2048)
 ![audio_high_quality](img/audio_high_quality.svg)
 
-### Normal quality preset (taps=512)
+## Normal quality preset (taps=512)
 ![audio_normal_quality](img/audio_normal_quality.svg)
 
-### Low quality preset (taps=128)
+## Low quality preset (taps=128)
 ![audio_low_quality](img/audio_low_quality.svg)
 
-### Draft quality preset (taps=32)
-![audio_draft_quality](img/audio_draft_quality.svg)
-\ No newline at end of file
+## Draft quality preset (taps=32)
+![audio_draft_quality](img/audio_draft_quality.svg)
diff --git a/docs/docs/types.md b/docs/docs/types.md
@@ -1,81 +0,0 @@
-# Data types
-
-`univector` class is a base of all containers in KFR.
-
-`univector` can have both static and dynamic size and can even hold only reference to an external data (just like `array_view` or `string_view`)
-
-`univector<float>` is derived from `std::vector<float>` and contains all its member functions and constructors.
-
-`univector<float, 10>` is derived from `std::array<float, 10>` and contains all its member functions and constructors.
-
-`univector<float, 0>` is only reference to data and doesn’t contain any values.
-
-Such universal template allows functions in KFR to get data in any format.
-
-You can get subrange of an array using slice function:
-
-```c++
-univector<float, 100> v;
-// ...
-const float s1 = sum(v); // Sum all elements
-const float s2 = sum(v.slice(2, 50)); // Sum 50 elements starting from 2
-```
-Result of the call to slice is always `univector<T, 0>`, a reference to external data.
-
-The lifetime of the reference is limited to the lifetime of the original data.
-
-!!! note
-    `univector` class is also [Expression](expressions.md) and can be used whereever expression is required.
-
-## Pass data to KFR functions
-
-If you don't use `univector` for data representation, you can still pass the data to KFR functions and filters. 
-
-Examples (`rms` is used as an example function that takes `univector`):
-
-### `std::vector` or `std::array`
-```c++
-std::vector<float> data; // existing data, or std::array<N, float>
-
-float val = rms(make_univector(data)); // No data copy
-```
-
-### Plain pointer
-```c++
-const float* data; // existing data
-size_t size;       // 
-
-float val = rms(make_univector(data, size)); // No data copy
-```
-
-### array
-```c++
-const float data[1024];
-
-float val = rms(make_univector(data)); // No data copy
-```
-
-
-## Data Types
-
-Unsigned:
-
-``u8``, ``u16``, ``u32`` and ``u64``
-
-Signed:
-
-``i8``, ``i16``, ``i32`` and ``i64``
-
-Floating point:
-
-``f32`` and ``f64``
-
-Complex:
-
-``complex<f32>`` and ``complex<f64>``
-
-Vector:
-
-``vec<u8, 4>``, ``vec<f32, 3>``, ``vec<i64, 1>``, ``vec<complex<float>, 15>``, ``vec<u8, 256>``, ``vec<vec<int, 3>, 3>``
-
-You are not limited to sizes of SIMD registers and basic types.
-\ No newline at end of file
diff --git a/docs/docs/whatsnew5.md b/docs/docs/whatsnew5.md
@@ -0,0 +1,17 @@
+# What's new in KFR 5
+
+* New `tensor<T, dims>` class for multidimensional data (like nparray)
+* All builtin expressions support multiple dimensions
+* Exception support (may be configured to call user-supplied function or std::abort)
+* [changes required] CMake variables now have `KFR_` prefix
+* Template parameter deduction for `vec`, so `vec{1, 2}` is the same as `vec<int, 2>{1, 2}`
+* [changes required] `random_state` is now architecture-agnostic and defined in `kfr` namespace
+* All expression classes have been moved from `kfr::CMT_ARCH_NAME::internal` to `kfr::CMT_ARCH_NAME` namespace
+* `expression_traits<T>` introduced to support interpreting any object as kfr expression
+* [changes required] User-defined expressions should be rewritten to be used in KFR5
+* Out-of-class assign operators for all input & output expressions
+* `round.hpp`, `clamp.hpp`, `select.hpp`, `sort.hpp`, `saturation.hpp`, `min_max.hpp`, `logical.hpp`, `abs.hpp` headers have been moved to `simd` module
+* `state_holder.hpp` has been moved to `base` module
+* All code related to expressions have been moved to `base` module
+* `vec<T, N>::front()` and `vec<T, N>::front()` are now writable
+* `set_elements` functions for output expressions like `get_elements` for input expressions
diff --git a/docs/docs/window_gallery.md b/docs/docs/window_gallery.md
@@ -0,0 +1,214 @@
+# Window functions code & examples
+
+## Table of Contents
+
+* [Hann window](#hann-window)
+* [Hamming window](#hamming-window)
+* [Blackman window](#blackman-window)
+* [Blackman-Harris window](#blackman-harris-window)
+* [Gaussian window](#gaussian-window)
+* [Triangular window](#triangular-window)
+* [Bartlett window](#bartlett-window)
+* [Cosine window](#cosine-window)
+* [Cosine window (numpy compatible)](#cosine-window-numpy-compatible)
+* [Bartlett-Hann window](#bartlett-hann-window)
+* [Bohman window](#bohman-window)
+* [Lanczos window](#lanczos-window)
+* [Flat top window](#flat-top-window)
+* [Kaiser window](#kaiser-window)
+
+## Hann window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_hann(output.size());
+plot_save("window_hann", output, options + ", title='Hann window'");
+```
+Result
+![window_hann](img/window_hann.svg)
+
+## Hamming window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_hamming(output.size());
+plot_save("window_hamming", output, options + ", title='Hamming window'");
+```
+Result
+![window_hamming](img/window_hamming.svg)
+
+## Blackman window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_blackman(output.size());
+plot_save("window_blackman", output, options + ", title='Blackman window'");
+```
+Result
+![window_blackman](img/window_blackman.svg)
+
+## Blackman-Harris window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_blackman_harris(output.size());
+plot_save("window_blackman_harris", output, options + ", title='Blackman-Harris window'");
+```
+Result
+![window_blackman_harris](img/window_blackman_harris.svg)
+
+## Gaussian window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_gaussian(output.size());
+plot_save("window_gaussian", output, options + ", title='Gaussian window'");
+```
+Result
+![window_gaussian](img/window_gaussian.svg)
+
+## Triangular window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_triangular(output.size());
+plot_save("window_triangular", output, options + ", title='Triangular window'");
+```
+Result
+![window_triangular](img/window_triangular.svg)
+
+## Bartlett window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_bartlett(output.size());
+plot_save("window_bartlett", output, options + ", title='Bartlett window'");
+```
+Result
+![window_bartlett](img/window_bartlett.svg)
+
+## Cosine window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_cosine(output.size());
+plot_save("window_cosine", output, options + ", title='Cosine window'");
+```
+Result
+![window_cosine](img/window_cosine.svg)
+
+## Cosine window (numpy compatible)
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_cosine_np(output.size());
+plot_save("window_cosine_np", output, options + ", title='Cosine window (numpy compatible)'");
+```
+Result
+![window_cosine_np](img/window_cosine_np.svg)
+
+## Bartlett-Hann window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_bartlett_hann(output.size());
+plot_save("window_bartlett_hann", output, options + ", title='Bartlett-Hann window'");
+```
+Result
+![window_bartlett_hann](img/window_bartlett_hann.svg)
+
+## Bohman window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_bohman(output.size());
+plot_save("window_bohman", output, options + ", title='Bohman window'");
+```
+Result
+![window_bohman](img/window_bohman.svg)
+
+## Lanczos window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_lanczos(output.size());
+plot_save("window_lanczos", output, options + ", title='Lanczos window'");
+```
+Result
+![window_lanczos](img/window_lanczos.svg)
+
+## Flat top window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_flattop(output.size());
+plot_save("window_flattop", output, options + ", title='Flat top window'");
+```
+Result
+![window_flattop](img/window_flattop.svg)
+
+## Kaiser window
+
+Code
+```c++ linenums="1"
+const std::string options = "freqresp=True, dots=True, padwidth=1024, "
+                            "log_freq=False, horizontal=False, normalized_freq=True";
+univector<fbase, 64> output;
+
+output = window_kaiser(output.size(), 2.5);
+plot_save("window_kaiser", output, options + ", title='Kaiser window'");
+```
+Result
+![window_kaiser](img/window_kaiser.svg)
diff --git a/docs/mkdocs.yml b/docs/mkdocs.yml
@@ -4,6 +4,18 @@ theme:
   features:
     - navigation.tabs
     - navigation.top
+  palette: 
+    # Palette toggle for light mode
+    - scheme: default
+      toggle:
+        icon: material/brightness-7 
+        name: Switch to dark mode
+
+    # Palette toggle for dark mode
+    - scheme: slate
+      toggle:
+        icon: material/brightness-4
+        name: Switch to light mode
     
 extra:
   search:
@@ -32,6 +44,7 @@ markdown_extensions:
   - pymdownx.superfences
   - pymdownx.highlight
   - pymdownx.details
+  - pymdownx.magiclink
   - pymdownx.tabbed:
       alternate_style: true
 
@@ -45,23 +58,30 @@ extra_css:
 
 repo_url: https://github.com/kfrlib/kfr
 repo_name: KFR
+edit_uri: edit/master/docs/
 
 nav:
-  - index.md
-  - types.md
-  - expressions.md
+  - KFR:
+    - index.md
+    - installation.md
+    - basics.md
+    - expressions.md
+    - whatsnew5.md
   - DSP:
-    - conversion.md
-    - normalize.md
-    - convert_stereo.md
     - fir.md
     - bq.md
     - src.md
-    - convolution.md
+    - conv_reverb.md
     - ebur128.md
+    - conversion.md
+    - normalize.md
+    - convert_stereo.md
     - fir_gallery.md
+    - iir_gallery.md
     - bq_gallery.md
     - src_gallery.md
+    - window_gallery.md
+    - convolution.md
   - DFT:
     - dft.md
     - dft2.md
@@ -73,9 +93,6 @@ nav:
   - Reference:
     - auto/refindex.md
     - Math:
-      - auto/types.md
-      - auto/memory.md
-      - auto/conversion.md
       - auto/complex.md
       - auto/constants.md
       - auto/logical.md
@@ -87,12 +104,19 @@ nav:
       - auto/hyperbolic.md
       - auto/horizontal.md
       - auto/other_math.md
+    - Base:
+      - auto/types.md
+      - auto/univector.md
+      - auto/tensor.md
       - auto/expressions.md
       - auto/generators.md
+      - auto/reducing.md
       - auto/random.md
-      - auto/array.md
+      - auto/memory.md
+      - auto/conversion.md
+      - auto/sort.md
       - auto/utility.md
-    - DSP:      
+    - DSP:
       - auto/filter.md
       - auto/biquad.md
       - auto/fir.md
@@ -102,7 +126,7 @@ nav:
     - DFT:
       - auto/convolution.md
       - auto/dft.md
-    - IO:      
+    - IO:
       - auto/binary_io.md
       - auto/audio_io.md
       - auto/plotting.md
@@ -112,4 +136,3 @@ nav:
     - auto/cometa.md
 
   - kfr.dev: https://kfr.dev
-  - github.com/kfrlib/kfr: https://github.com/kfrlib/kfr
diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt
@@ -18,6 +18,7 @@ cmake_minimum_required(VERSION 3.10)
 
 # Binary output directories
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELEASE ${PROJECT_BINARY_DIR}/bin)
+set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELWITHDEBINFO ${PROJECT_BINARY_DIR}/bin)
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_DEBUG ${PROJECT_BINARY_DIR}/bin)
 
 file(MAKE_DIRECTORY ${PROJECT_BINARY_DIR}/svg)
@@ -34,7 +35,7 @@ target_link_libraries(window kfr use_arch)
 add_executable(fir fir.cpp)
 target_link_libraries(fir kfr use_arch)
 
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     target_link_libraries(fir kfr_dft use_arch)
     target_compile_definitions(fir PRIVATE -DHAVE_DFT)
 endif ()
@@ -42,7 +43,7 @@ endif ()
 add_executable(sample_rate_conversion sample_rate_conversion.cpp)
 target_link_libraries(sample_rate_conversion kfr kfr_io use_arch)
 
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     add_executable(dft dft.cpp)
     target_link_libraries(dft kfr kfr_dft use_arch)
     add_executable(ccv ccv.cpp)
diff --git a/examples/biquads.cpp b/examples/biquads.cpp
@@ -5,7 +5,9 @@
  */
 
 #include <kfr/base.hpp>
-#include <kfr/dsp.hpp>
+#include <kfr/dsp/biquad.hpp>
+#include <kfr/dsp/biquad_design.hpp>
+#include <kfr/dsp/special.hpp>
 #include <kfr/io.hpp>
 
 using namespace kfr;
diff --git a/examples/ccv.cpp b/examples/ccv.cpp
@@ -21,22 +21,21 @@ int main()
 
     // low-pass filter
     univector<fbase, 1023> taps127;
-    expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+    expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
     fir_lowpass(taps127, 0.2, kaiser, true);
 
     // Create filters.
     size_t const block_size = 256;
-    convolve_filter<complex<fbase>> conv_filter_complex(univector<complex<fbase>>(make_complex(taps127, zeros())),
-                                                block_size);
+    convolve_filter<complex<fbase>> conv_filter_complex(
+        univector<complex<fbase>>(make_complex(taps127, zeros())), block_size);
     convolve_filter<fbase> conv_filter_real(taps127, block_size);
 
     // Create noise to filter.
     auto const size = 1024 * 100 + 33; // not a multiple of block_size
     univector<complex<fbase>> cnoise =
-        make_complex(truncate(gen_random_range(random_bit_generator{ 1, 2, 3, 4 }, -1.f, +1.f), size),
-                     truncate(gen_random_range(random_bit_generator{ 3, 4, 9, 8 }, -1.f, +1.f), size));
-    univector<fbase> noise =
-                     truncate(gen_random_range(random_bit_generator{ 3, 4, 9, 8 }, -1.f, +1.f), size);
+        make_complex(truncate(gen_random_range(random_init(1, 2, 3, 4), -1.f, +1.f), size),
+                     truncate(gen_random_range(random_init(3, 4, 9, 8), -1.f, +1.f), size));
+    univector<fbase> noise = truncate(gen_random_range(random_init(3, 4, 9, 8), -1.f, +1.f), size);
 
     // Filter results.
     univector<complex<fbase>> filtered_cnoise_ccv(size), filtered_cnoise_fir(size);
@@ -45,27 +44,29 @@ int main()
     // Complex filtering (time and compare).
     auto tic = std::chrono::high_resolution_clock::now();
     conv_filter_complex.apply(filtered_cnoise_ccv, cnoise);
-    auto toc           = std::chrono::high_resolution_clock::now();
-    auto const ccv_time_complex      = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
-    tic                = toc;
-    filtered_cnoise_fir = kfr::fir(cnoise, taps127);
-    toc                = std::chrono::high_resolution_clock::now();
-    auto const fir_time_complex      = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
-    auto const cdiff = rms(cabs(filtered_cnoise_fir - filtered_cnoise_ccv));
+    auto toc                    = std::chrono::high_resolution_clock::now();
+    auto const ccv_time_complex = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
+    tic                         = toc;
+    filtered_cnoise_fir         = kfr::fir(cnoise, taps127);
+    toc                         = std::chrono::high_resolution_clock::now();
+    auto const fir_time_complex = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
+    auto const cdiff            = rms(cabs(filtered_cnoise_fir - filtered_cnoise_ccv));
 
     // Real filtering (time and compare).
     tic = std::chrono::high_resolution_clock::now();
     conv_filter_real.apply(filtered_noise_ccv, noise);
-    toc           = std::chrono::high_resolution_clock::now();
-    auto const ccv_time_real      = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
-    tic                = toc;
-    filtered_noise_fir = kfr::fir(noise, taps127);
-    toc                = std::chrono::high_resolution_clock::now();
-    auto const fir_time_real      = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
-    auto const diff = rms(filtered_noise_fir - filtered_noise_ccv);
+    toc                      = std::chrono::high_resolution_clock::now();
+    auto const ccv_time_real = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
+    tic                      = toc;
+    filtered_noise_fir       = kfr::fir(noise, taps127);
+    toc                      = std::chrono::high_resolution_clock::now();
+    auto const fir_time_real = std::chrono::duration_cast<std::chrono::duration<float>>(toc - tic);
+    auto const diff          = rms(filtered_noise_fir - filtered_noise_ccv);
 
-    println("complex: convolution_filter ", ccv_time_complex.count(), " fir ", fir_time_complex.count(), " diff=", cdiff);
-    println("real: convolution_filter ", ccv_time_real.count(), " fir ", fir_time_real.count(), " diff=", diff);
+    println("complex: convolution_filter ", ccv_time_complex.count(), " fir ", fir_time_complex.count(),
+            " diff=", cdiff);
+    println("real: convolution_filter ", ccv_time_real.count(), " fir ", fir_time_real.count(),
+            " diff=", diff);
 
     return 0;
 }
diff --git a/examples/fir.cpp b/examples/fir.cpp
@@ -34,11 +34,11 @@ int main()
     univector<fbase, 8191> taps8191;
 
     // Prepare window functions (only expression saved here, not data)
-    expression_pointer<fbase> hann = to_pointer(window_hann(taps15.size()));
+    expression_handle<fbase> hann = to_handle(window_hann(taps15.size()));
 
-    expression_pointer<fbase> kaiser = to_pointer(window_kaiser(taps127.size(), 3.0));
+    expression_handle<fbase> kaiser = to_handle(window_kaiser(taps127.size(), 3.0));
 
-    expression_pointer<fbase> blackman_harris = to_pointer(window_blackman_harris(taps8191.size()));
+    expression_handle<fbase> blackman_harris = to_handle(window_blackman_harris(taps8191.size()));
 
     // Fill taps15 with the low pass FIR filter coefficients using hann window and cutoff=0.15
     fir_lowpass(taps15, 0.15, hann, true);
@@ -102,8 +102,7 @@ int main()
     // --------------------------------------------------------------------------------------
 
     // Prepare 10000 samples of white noise
-    univector<float> noise =
-        truncate(gen_random_range(random_bit_generator{ 1, 2, 3, 4 }, -1.f, +1.f), 10000);
+    univector<float> noise = truncate(gen_random_range(random_init(1, 2, 3, 4), -1.f, +1.f), 10000);
 
     // Apply band stop filter
     univector<float> filtered_noise = fir(noise, taps127);
diff --git a/examples/window.cpp b/examples/window.cpp
@@ -42,6 +42,9 @@ int main()
     output = window_cosine(output.size());
     plot_save("window_cosine", output, options + ", title='Cosine window'");
 
+    output = window_cosine_np(output.size());
+    plot_save("window_cosine_np", output, options + ", title='Cosine window (numpy compatible)'");
+
     output = window_bartlett_hann(output.size());
     plot_save("window_bartlett_hann", output, options + ", title='Bartlett-Hann window'");
 
diff --git a/include/kfr/base.hpp b/include/kfr/base.hpp
@@ -29,12 +29,16 @@
 #include "base/expression.hpp"
 #include "base/filter.hpp"
 #include "base/fraction.hpp"
-#include "base/function_expressions.hpp"
 #include "base/generators.hpp"
+#include "base/handle.hpp"
+#include "base/math_expressions.hpp"
 #include "base/memory.hpp"
-#include "base/pointer.hpp"
 #include "base/random.hpp"
+#include "base/random_bits.hpp"
 #include "base/reduce.hpp"
+#include "base/shape.hpp"
+#include "base/simd_expressions.hpp"
 #include "base/small_buffer.hpp"
-#include "base/sort.hpp"
+#include "base/state_holder.hpp"
+#include "base/tensor.hpp"
 #include "base/univector.hpp"
diff --git a/include/kfr/base/basic_expressions.hpp b/include/kfr/base/basic_expressions.hpp
@@ -25,408 +25,705 @@
  */
 #pragma once
 
-#include "../simd/operators.hpp"
-#include "../simd/vec.hpp"
-#include "univector.hpp"
-#include <algorithm>
+#include "expression.hpp"
 
 namespace kfr
 {
-inline namespace CMT_ARCH_NAME
+// ----------------------------------------------------------------------------
+
+template <typename T>
+struct expression_scalar
 {
+    T value;
+};
 
-namespace internal
+template <typename T>
+struct expression_traits<expression_scalar<T>> : expression_traits_defaults
 {
-template <size_t width, typename Fn>
-KFR_INTRINSIC void block_process_impl(size_t& i, size_t size, Fn&& fn)
+    using value_type             = T;
+    constexpr static size_t dims = 0;
+
+    constexpr static shape<0> get_shape(const expression_scalar<T>& self) { return {}; }
+    constexpr static shape<0> get_shape() { return {}; }
+};
+
+template <typename T>
+KFR_INTRINSIC expression_scalar<T> scalar(T value)
 {
-    CMT_LOOP_NOUNROLL
-    for (; i < size / width * width; i += width)
-        fn(i, csize_t<width>());
+    return { std::move(value) };
 }
-} // namespace internal
 
-template <size_t... widths, typename Fn>
-KFR_INTRINSIC void block_process(size_t size, csizes_t<widths...>, Fn&& fn)
+template <typename T = fbase>
+KFR_INTRINSIC expression_scalar<T> zeros()
 {
-    size_t i = 0;
-    swallow{ (internal::block_process_impl<widths>(i, size, std::forward<Fn>(fn)), 0)... };
+    return { static_cast<T>(0) };
 }
 
-namespace internal
+template <typename T = fbase>
+KFR_INTRINSIC expression_scalar<T> ones()
+{
+    return { static_cast<T>(1) };
+}
+
+inline namespace CMT_ARCH_NAME
+{
+template <typename T, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_scalar<T>& self, const shape<0>& index,
+                                     const axis_params<Axis, N>&)
+{
+    return self.value;
+}
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
+
+template <typename T, index_t Dims = 1>
+struct expression_counter
 {
+    T start;
+    T steps[Dims];
+
+    T back() const { return steps[Dims - 1]; }
+    T front() const { return steps[0]; }
+};
 
-template <typename To, typename E>
-struct expression_cast : expression_with_arguments<E>
+template <typename T, index_t Dims>
+struct expression_traits<expression_counter<T, Dims>> : expression_traits_defaults
 {
-    using value_type = To;
-    KFR_MEM_INTRINSIC expression_cast(E&& expr) CMT_NOEXCEPT
-        : expression_with_arguments<E>(std::forward<E>(expr))
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+
+    constexpr static shape<dims> get_shape(const expression_counter<T, Dims>& self)
     {
+        return shape<dims>(infinite_size);
     }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
+};
+
+template <typename T = int, typename Arg = T, typename... Args,
+          typename Tout = std::common_type_t<T, Arg, Args...>>
+KFR_INTRINSIC expression_counter<Tout, 1> counter(T start = 0)
+{
+    return { static_cast<Tout>(std::move(start)), { static_cast<Tout>(1) } };
+}
+
+template <typename T = int, typename Arg = T, typename... Args,
+          typename Tout = std::common_type_t<T, Arg, Args...>>
+KFR_INTRINSIC expression_counter<Tout, 1 + sizeof...(Args)> counter(T start, Arg step, Args... steps)
+{
+    return { static_cast<Tout>(std::move(start)),
+             { static_cast<Tout>(std::move(step)), static_cast<Tout>(std::move(steps))... } };
+}
 
-    template <size_t N>
-    friend KFR_INTRINSIC vec<To, N> get_elements(const expression_cast& self, cinput_t input, size_t index,
-                                                 vec_shape<To, N>)
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_counter<T, 1>& self, const shape<1>& index,
+                                     const axis_params<Axis, N>&)
+{
+    T acc = self.start;
+    acc += static_cast<T>(index.back()) * self.back();
+    return acc + enumerate(vec_shape<T, N>(), self.back());
+}
+template <typename T, index_t dims, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_counter<T, dims>& self, const shape<dims>& index,
+                                     const axis_params<Axis, N>&)
+{
+    T acc                 = self.start;
+    vec<T, dims> tindices = cast<T>(to_vec(index));
+    cfor(csize<0>, csize<dims>, [&](auto i) CMT_INLINE_LAMBDA { acc += tindices[i] * self.steps[i]; });
+    return acc + enumerate(vec_shape<T, N>(), self.steps[Axis]);
+}
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
+
+template <typename Arg>
+struct expression_slice : public expression_with_arguments<Arg>
+{
+    constexpr static index_t dims = expression_dims<Arg>;
+    static_assert(dims > 0);
+    shape<dims> start;
+    shape<dims> size;
+
+    KFR_MEM_INTRINSIC expression_slice(Arg&& arg, shape<dims> start, shape<dims> size)
+        : expression_with_arguments<Arg>{ std::forward<Arg>(arg) }, start(start), size(size)
     {
-        return self.argument_first(input, index, vec_shape<To, N>());
     }
 };
 
-template <typename T, typename E1>
-struct expression_iterator
+template <typename Arg>
+struct expression_traits<expression_slice<Arg>> : expression_traits_defaults
 {
-    constexpr expression_iterator(E1&& e1) : e1(std::forward<E1>(e1)) {}
-    struct iterator
+    using ArgTraits = expression_traits<Arg>;
+
+    using value_type                    = typename ArgTraits::value_type;
+    constexpr static size_t dims        = ArgTraits::dims;
+    constexpr static bool random_access = ArgTraits::random_access;
+
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const expression_slice<Arg>& self)
     {
-        T operator*() const { return get(); }
-        T get() const { return get_elements(expr.e1, cinput, position, vec_shape<T, 1>()).front(); }
-        iterator& operator++()
-        {
-            ++position;
-            return *this;
-        }
-        iterator operator++(int)
-        {
-            iterator copy = *this;
-            ++(*this);
-            return copy;
-        }
-        bool operator!=(const iterator& other) const { return position != other.position; }
-        const expression_iterator& expr;
-        size_t position;
-    };
-    iterator begin() const { return { *this, 0 }; }
-    iterator end() const { return { *this, e1.size() }; }
-    E1 e1;
+        return min(sub_shape(ArgTraits::get_shape(self.first()), self.start), self.size);
+    }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return shape<dims>(undefined_size); }
 };
-} // namespace internal
 
-template <typename To, typename E, KFR_ENABLE_IF(is_input_expression<E>)>
-KFR_INTRINSIC internal::expression_cast<To, E> cast(E&& expr)
+template <typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg), index_t Dims = expression_dims<Arg>>
+KFR_INTRINSIC expression_slice<Arg> slice(Arg&& arg, identity<shape<Dims>> start,
+                                          identity<shape<Dims>> size = shape<Dims>(infinite_size))
 {
-    return internal::expression_cast<To, E>(std::forward<E>(expr));
+    static_assert(Dims > 0);
+    return { std::forward<Arg>(arg), start, size };
 }
 
-template <typename E1, typename T = value_type_of<E1>>
-KFR_INTRINSIC internal::expression_iterator<T, E1> to_iterator(E1&& e1)
+template <typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg), index_t Dims = expression_dims<Arg>>
+KFR_INTRINSIC expression_slice<Arg> truncate(Arg&& arg, identity<shape<Dims>> size)
 {
-    return internal::expression_iterator<T, E1>(std::forward<E1>(e1));
+    static_assert(Dims > 0);
+    return { std::forward<Arg>(arg), shape<Dims>{ 0 }, size };
 }
 
-template <typename... Ts, typename T = common_type<Ts...>>
-inline auto sequence(const Ts&... list)
+inline namespace CMT_ARCH_NAME
 {
-    return lambda<T>([seq = std::array<T, sizeof...(Ts)>{ { static_cast<T>(list)... } }](size_t index) {
-        return seq[index % seq.size()];
-    });
+
+template <typename Arg, index_t NDims, index_t Axis, size_t N,
+          typename T = typename expression_traits<expression_slice<Arg>>::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_slice<Arg>& self, const shape<NDims>& index,
+                                     const axis_params<Axis, N>& sh)
+{
+    return static_cast<vec<T, N>>(get_elements(self.first(), index.add(self.start), sh));
 }
 
-template <typename T = int>
-KFR_INTRINSIC auto zeros()
+template <typename Arg, index_t NDims, index_t Axis, size_t N,
+          typename T = typename expression_traits<expression_slice<Arg>>::value_type>
+KFR_INTRINSIC void set_elements(const expression_slice<Arg>& self, const shape<NDims>& index,
+                                const axis_params<Axis, N>& sh, const identity<vec<T, N>>& value)
 {
-    return lambda<T>([](cinput_t, size_t, auto x) { return zerovector(x); });
+    set_elements(self.first(), index.add(self.start), sh, value);
 }
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
 
-template <typename T = int>
-KFR_INTRINSIC auto ones()
+template <typename T, typename Arg>
+struct expression_cast : public expression_with_arguments<Arg>
 {
-    return lambda<T>([](cinput_t, size_t, auto) { return 1; });
+    using expression_with_arguments<Arg>::expression_with_arguments;
+};
+
+template <typename T, typename Arg>
+struct expression_traits<expression_cast<T, Arg>> : expression_traits_defaults
+{
+    using ArgTraits = expression_traits<Arg>;
+
+    using value_type                    = T;
+    constexpr static size_t dims        = ArgTraits::dims;
+    constexpr static bool random_access = ArgTraits::random_access;
+
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const expression_cast<T, Arg>& self)
+    {
+        return ArgTraits::get_shape(self.first());
+    }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return ArgTraits::get_shape(); }
+};
+
+template <typename T, typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg)>
+KFR_INTRINSIC expression_cast<T, Arg> cast(Arg&& arg)
+{
+    return { std::forward<Arg>(arg) };
 }
 
-template <typename T = int>
-KFR_INTRINSIC auto counter()
+template <typename T, typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg)>
+KFR_INTRINSIC expression_cast<T, Arg> cast(Arg&& arg, ctype_t<T>)
 {
-    return lambda<T>([](cinput_t, size_t index, auto x) { return enumerate(x) + index; });
+    return { std::forward<Arg>(arg) };
 }
 
-template <typename T1>
-KFR_INTRINSIC auto counter(T1 start)
+inline namespace CMT_ARCH_NAME
 {
-    return lambda<T1>([start](cinput_t, size_t index, auto x) { return enumerate(x) + index + start; });
+
+template <typename T, typename Arg, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_cast<T, Arg>& self, const shape<NDims>& index,
+                                     const axis_params<Axis, N>& sh)
+{
+    return static_cast<vec<T, N>>(get_elements(self.first(), index, sh));
 }
-template <typename T1, typename T2>
-KFR_INTRINSIC auto counter(T1 start, T2 step)
+
+template <typename T, typename Arg, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC void set_elements(const expression_cast<T, Arg>& self, const shape<NDims>& index,
+                                const axis_params<Axis, N>& sh, const identity<vec<T, N>>& value)
 {
-    return lambda<common_type<T1, T2>>(
-        [start, step](cinput_t, size_t index, auto x) { return (enumerate(x) + index) * step + start; });
+    set_elements(self.first(), index, sh, value);
 }
+} // namespace CMT_ARCH_NAME
 
-template <typename Gen>
-struct segment
+// ----------------------------------------------------------------------------
+
+template <typename T, index_t Dims, typename Fn, bool Rnd>
+struct expression_lambda
 {
-    template <typename Gen_>
-    constexpr segment(size_t start, Gen_&& gen) : start(start), gen(std::forward<Gen_>(gen))
+    Fn fn;
+};
+
+template <typename T, index_t Dims, typename Fn, bool Rnd>
+struct expression_traits<expression_lambda<T, Dims, Fn, Rnd>> : expression_traits_defaults
+{
+    using value_type                           = T;
+    constexpr static size_t dims               = Dims;
+    constexpr static inline bool random_access = Rnd;
+
+    KFR_MEM_INTRINSIC constexpr static shape<Dims> get_shape(const expression_lambda<T, Dims, Fn, Rnd>& self)
     {
+        return shape<Dims>(infinite_size);
     }
-    size_t start;
-    Gen gen;
+    KFR_MEM_INTRINSIC constexpr static shape<Dims> get_shape() { return shape<Dims>(infinite_size); }
 };
 
-enum symmetric_linspace_t
+template <typename T, index_t Dims = 1, typename Fn, bool RandomAccess = true>
+KFR_INTRINSIC expression_lambda<T, Dims, Fn, RandomAccess> lambda(Fn&& fn, cbool_t<RandomAccess> = {})
 {
-    symmetric_linspace
-};
+    return { std::forward<Fn>(fn) };
+}
+template <typename T, index_t Dims = 1, typename Fn>
+KFR_INTRINSIC expression_lambda<T, Dims, Fn, false> lambda_generator(Fn&& fn)
+{
+    return { std::forward<Fn>(fn) };
+}
 
-namespace internal
+template <typename... Ts, typename T = std::common_type_t<Ts...>>
+KFR_INTRINSIC auto sequence(const Ts&... list)
 {
-template <typename T, typename E1>
-struct expression_reader
+    return lambda<T>([seq = std::array<T, sizeof...(Ts)>{ { static_cast<T>(list)... } }](index_t index) { //
+        return seq[index % seq.size()];
+    });
+}
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, index_t Dims, typename Fn, bool Rnd, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_lambda<T, Dims, Fn, Rnd>& self,
+                                     const shape<Dims>& index, const axis_params<Axis, N>& sh)
 {
-    constexpr expression_reader(E1&& e1) CMT_NOEXCEPT : e1(std::forward<E1>(e1)) {}
-    T read() const
+    if constexpr (std::is_invocable_v<Fn, shape<Dims>, axis_params<Axis, N>>)
+        return self.fn(index, sh);
+    else if constexpr (std::is_invocable_v<Fn, shape<Dims>, csize_t<N>>)
+        return self.fn(index, csize<N>);
+    else if constexpr (std::is_invocable_v<Fn, shape<Dims>>)
     {
-        const T result = get_elements(e1, cinput, m_position, vec_shape<T, 1>());
-        m_position++;
+        portable_vec<T, N> result;
+        shape<Dims> cur_index = index;
+        for (index_t i = 0; i < N; ++i)
+        {
+            result[i] = self.fn(cur_index);
+            ++cur_index.back();
+        }
         return result;
     }
-    mutable size_t m_position = 0;
-    E1 e1;
-};
-template <typename T, typename E1>
-struct expression_writer
+    else if constexpr (std::is_invocable_v<Fn>)
+        return apply<N>(self.fn);
+    else
+    {
+        static_assert(std::is_invocable_v<Fn, shape<Dims>, axis_params<Axis, N>> ||
+                          std::is_invocable_v<Fn, shape<Dims>, csize_t<N>> ||
+                          std::is_invocable_v<Fn, shape<Dims>> || std::is_invocable_v<Fn>,
+                      "Lambda must be callable");
+        return czeros;
+    }
+}
+
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
+
+template <typename Arg>
+struct expression_padded : public expression_with_arguments<Arg>
 {
-    constexpr expression_writer(E1&& e1) CMT_NOEXCEPT : e1(std::forward<E1>(e1)) {}
-    template <typename U>
-    void write(U value)
+    using ArgTraits = typename expression_with_arguments<Arg>::first_arg_traits;
+    typename ArgTraits::value_type fill_value;
+    shape<ArgTraits::dims> input_shape;
+
+    KFR_MEM_INTRINSIC expression_padded(Arg&& arg, typename ArgTraits::value_type fill_value)
+        : expression_with_arguments<Arg>{ std::forward<Arg>(arg) }, fill_value(std::move(fill_value)),
+          input_shape(ArgTraits::get_shape(this->first()))
     {
-        e1(coutput, m_position, vec<U, 1>(value));
-        m_position++;
     }
-    size_t m_position = 0;
-    E1 e1;
 };
-} // namespace internal
 
-template <typename T, typename E1>
-internal::expression_reader<T, E1> reader(E1&& e1)
+template <typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg), typename T = expression_value_type<Arg>>
+KFR_INTRINSIC expression_padded<Arg> padded(Arg&& arg, T fill_value = T{})
 {
-    static_assert(is_input_expression<E1>, "E1 must be an expression");
-    return internal::expression_reader<T, E1>(std::forward<E1>(e1));
+    static_assert(expression_dims<Arg> >= 1);
+    return { std::forward<Arg>(arg), std::move(fill_value) };
 }
 
-template <typename T, typename E1>
-internal::expression_writer<T, E1> writer(E1&& e1)
+template <typename Arg>
+struct expression_traits<expression_padded<Arg>> : expression_traits_defaults
 {
-    static_assert(is_output_expression<E1>, "E1 must be an output expression");
-    return internal::expression_writer<T, E1>(std::forward<E1>(e1));
-}
+    using ArgTraits = expression_traits<Arg>;
 
-namespace internal
+    using value_type                    = typename ArgTraits::value_type;
+    constexpr static size_t dims        = ArgTraits::dims;
+    constexpr static bool random_access = ArgTraits::random_access;
+
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const expression_padded<Arg>& self)
+    {
+        return shape<dims>(infinite_size);
+    }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
+};
+
+inline namespace CMT_ARCH_NAME
 {
 
-template <typename E1>
-struct expression_slice : expression_with_arguments<E1>
+template <typename Arg, index_t Axis, size_t N, typename Traits = expression_traits<expression_padded<Arg>>,
+          typename T = typename Traits::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_padded<Arg>& self, const shape<Traits::dims>& index,
+                                     const axis_params<Axis, N>& sh)
 {
-    using value_type = value_type_of<E1>;
-    using T          = value_type;
-    expression_slice(E1&& e1, size_t start, size_t size)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), start(start),
-          new_size(size_min(size, size_sub(std::get<0>(this->args).size(), start)))
+    if (index.ge(self.input_shape))
     {
+        return self.fill_value;
     }
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_slice& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    else if (CMT_LIKELY(index.add(N).le(self.input_shape)))
     {
-        return self.argument_first(cinput, index + self.start, y);
+        return get_elements(self.first(), index, sh);
     }
-    size_t size() const { return new_size; }
-    size_t start;
-    size_t new_size;
-};
+    else
+    {
+        vec<T, N> x = self.fill_value;
+        for (size_t i = 0; i < N; i++)
+        {
+            shape ish = index.add(i);
+            if (ish.back() < self.input_shape.back())
+                x[i] = get_elements(self.first(), ish, axis_params_v<Axis, 1>).front();
+        }
+        return x;
+    }
+}
 
-template <typename E1>
-struct expression_reverse : expression_with_arguments<E1>
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
+
+template <typename Arg>
+struct expression_reverse : public expression_with_arguments<Arg>
 {
-    using value_type = value_type_of<E1>;
-    using T          = value_type;
-    expression_reverse(E1&& e1) : expression_with_arguments<E1>(std::forward<E1>(e1)), expr_size(e1.size()) {}
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_reverse& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    using ArgTraits = typename expression_with_arguments<Arg>::first_arg_traits;
+    shape<ArgTraits::dims> input_shape;
+
+    KFR_MEM_INTRINSIC expression_reverse(Arg&& arg)
+        : expression_with_arguments<Arg>{ std::forward<Arg>(arg) },
+          input_shape(ArgTraits::get_shape(this->first()))
     {
-        return reverse(self.argument_first(cinput, self.expr_size - index - N, y));
     }
-    size_t size() const { return expr_size; }
-    size_t expr_size;
 };
 
-template <typename T, bool precise = false>
-struct expression_linspace;
+template <typename Arg, KFR_ACCEPT_EXPRESSIONS(Arg)>
+KFR_INTRINSIC expression_reverse<Arg> reverse(Arg&& arg)
+{
+    static_assert(expression_dims<Arg> >= 1);
+    return { std::forward<Arg>(arg) };
+}
 
-template <typename T>
-struct expression_linspace<T, false> : input_expression
+template <typename Arg>
+struct expression_traits<expression_reverse<Arg>> : expression_traits_defaults
 {
-    using value_type = T;
+    using ArgTraits = expression_traits<Arg>;
 
-    KFR_MEM_INTRINSIC constexpr size_t size() const CMT_NOEXCEPT { return truncate_size; }
+    using value_type             = typename ArgTraits::value_type;
+    constexpr static size_t dims = ArgTraits::dims;
+    static_assert(ArgTraits::random_access, "expression_reverse requires an expression with random access");
 
-    expression_linspace(T start, T stop, size_t size, bool endpoint = false, bool truncate = false)
-        : start(start), offset((stop - start) / T(endpoint ? size - 1 : size)),
-          truncate_size(truncate ? size : infinite_size)
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const expression_reverse<Arg>& self)
     {
+        return ArgTraits::get_shape(self.first());
     }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return ArgTraits::get_shape(); }
+};
 
-    expression_linspace(symmetric_linspace_t, T symsize, size_t size, bool endpoint = false)
-        : expression_linspace(-symsize, +symsize, size, endpoint)
-    {
-    }
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename Arg, index_t Axis, size_t N, typename Traits = expression_traits<expression_reverse<Arg>>,
+          typename T = typename Traits::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_reverse<Arg>& self, const shape<Traits::dims>& index,
+                                     const axis_params<Axis, N>& sh)
+{
+    return reverse(get_elements(self.first(), self.input_shape.sub(index).sub(shape<Traits::dims>(N)), sh));
+}
+
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
 
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_linspace& self, cinput_t, size_t index,
-                                                vec_shape<T, N> x)
+template <index_t... Values>
+struct fixed_shape_t
+{
+    constexpr fixed_shape_t() = default;
+    constexpr static shape<sizeof...(Values)> get() { return { Values... }; }
+};
+
+template <index_t... Values>
+constexpr inline fixed_shape_t<Values...> fixed_shape{};
+
+template <typename Arg, typename Shape>
+struct expression_fixshape : public expression_with_arguments<Arg>
+{
+    using ArgTraits = typename expression_with_arguments<Arg>::first_arg_traits;
+
+    KFR_MEM_INTRINSIC expression_fixshape(Arg&& arg)
+        : expression_with_arguments<Arg>{ std::forward<Arg>(arg) }
     {
-        using TI = itype<T>;
-        return T(self.start) + (enumerate(x) + static_cast<T>(static_cast<TI>(index))) * T(self.offset);
     }
-
-    T start;
-    T offset;
-    size_t truncate_size;
 };
 
-template <typename T>
-struct expression_linspace<T, true> : input_expression
+template <typename Arg, index_t... ShapeValues, KFR_ACCEPT_EXPRESSIONS(Arg)>
+KFR_INTRINSIC expression_fixshape<Arg, fixed_shape_t<ShapeValues...>> fixshape(
+    Arg&& arg, const fixed_shape_t<ShapeValues...>&)
 {
-    using value_type = T;
+    return { std::forward<Arg>(arg) };
+}
 
-    KFR_MEM_INTRINSIC constexpr size_t size() const CMT_NOEXCEPT { return truncate_size; }
+template <typename Arg, index_t... ShapeValues>
+struct expression_traits<expression_fixshape<Arg, fixed_shape_t<ShapeValues...>>> : expression_traits_defaults
+{
+    using ArgTraits = expression_traits<Arg>;
 
-    expression_linspace(T start, T stop, size_t size, bool endpoint = false, bool truncate = false)
-        : start(start), stop(stop), invsize(1.0 / T(endpoint ? size - 1 : size)),
-          truncate_size(truncate ? size : infinite_size)
+    using value_type                    = typename ArgTraits::value_type;
+    constexpr static size_t dims        = sizeof...(ShapeValues); // ArgTraits::dims;
+    constexpr static bool random_access = ArgTraits::random_access;
+
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(
+        const expression_fixshape<Arg, fixed_shape_t<ShapeValues...>>& self)
     {
+        return fixed_shape_t<ShapeValues...>::get();
     }
-
-    expression_linspace(symmetric_linspace_t, T symsize, size_t size, bool endpoint = false)
-        : expression_linspace(-symsize, +symsize, size, endpoint)
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape()
     {
+        return fixed_shape_t<ShapeValues...>::get();
     }
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename Arg, typename Shape, index_t Axis, size_t N,
+          typename Traits = expression_traits<expression_fixshape<Arg, Shape>>,
+          typename T      = typename Traits::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_fixshape<Arg, Shape>& self,
+                                     const shape<Traits::dims>& index, const axis_params<Axis, N>& sh)
+{
+    using ArgTraits = expression_traits<Arg>;
+    return get_elements(self.first(), index.template trim<ArgTraits::dims>(), sh);
+}
 
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_linspace& self, cinput_t, size_t index,
-                                                vec_shape<T, N> x)
+template <typename Arg, typename Shape, index_t Axis, size_t N,
+          typename Traits = expression_traits<expression_fixshape<Arg, Shape>>,
+          typename T      = typename Traits::value_type>
+KFR_INTRINSIC void set_elements(expression_fixshape<Arg, Shape>& self, const shape<Traits::dims>& index,
+                                const axis_params<Axis, N>& sh, const identity<vec<T, N>>& value)
+{
+    using ArgTraits = expression_traits<Arg>;
+    if constexpr (is_output_expression<Arg>)
     {
-        using TI = itype<T>;
-        return mix((enumerate(x) + static_cast<T>(static_cast<TI>(index))) * self.invsize, self.start,
-                   self.stop);
+        set_elements(self.first(), index.template trim<ArgTraits::dims>(), sh, value);
     }
-    template <typename U, size_t N>
-    KFR_MEM_INTRINSIC static vec<U, N> mix(const vec<U, N>& t, U x, U y)
+    else
     {
-        return (U(1.0) - t) * x + t * y;
     }
+}
 
-    T start;
-    T stop;
-    T invsize;
-    size_t truncate_size;
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
+
+template <typename Arg, index_t OutDims>
+struct expression_reshape : public expression_with_arguments<Arg>
+{
+    using ArgTraits = typename expression_with_arguments<Arg>::first_arg_traits;
+    shape<ArgTraits::dims> in_shape;
+    shape<OutDims> out_shape;
+
+    KFR_MEM_INTRINSIC expression_reshape(Arg&& arg, const shape<OutDims>& out_shape)
+        : expression_with_arguments<Arg>{ std::forward<Arg>(arg) }, in_shape(ArgTraits::get_shape(arg)),
+          out_shape(out_shape)
+    {
+    }
 };
 
-template <typename... E>
-struct expression_sequence : expression_with_arguments<E...>
+template <typename Arg, index_t OutDims, KFR_ACCEPT_EXPRESSIONS(Arg)>
+KFR_INTRINSIC expression_reshape<Arg, OutDims> reshape(Arg&& arg, const shape<OutDims>& out_shape)
+{
+    return { std::forward<Arg>(arg), out_shape };
+}
+
+template <typename Arg, index_t OutDims>
+struct expression_traits<expression_reshape<Arg, OutDims>> : expression_traits_defaults
 {
-public:
-    using base = expression_with_arguments<E...>;
+    using ArgTraits = expression_traits<Arg>;
 
-    using value_type = common_type<value_type_of<E>...>;
-    using T          = value_type;
+    using value_type                    = typename ArgTraits::value_type;
+    constexpr static size_t dims        = OutDims;
+    constexpr static bool random_access = ArgTraits::random_access;
 
-    template <typename... Expr_>
-    KFR_MEM_INTRINSIC expression_sequence(const size_t (&segments)[base::count], Expr_&&... expr) CMT_NOEXCEPT
-        : base(std::forward<Expr_>(expr)...)
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const expression_reshape<Arg, OutDims>& self)
     {
-        std::copy(std::begin(segments), std::end(segments), this->segments.begin() + 1);
-        this->segments[0]               = 0;
-        this->segments[base::count + 1] = size_t(-1);
+        return self.out_shape;
     }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return shape<dims>{ undefined_size }; }
+};
 
-    template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_sequence& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename Arg, index_t outdims, index_t Axis, size_t N,
+          typename Traits = expression_traits<expression_reshape<Arg, outdims>>,
+          typename T      = typename Traits::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_reshape<Arg, outdims>& self,
+                                     const shape<Traits::dims>& index, const axis_params<Axis, N>& sh)
+{
+    using ArgTraits          = typename Traits::ArgTraits;
+    constexpr index_t indims = ArgTraits::dims;
+    if constexpr (N == 1)
     {
-        std::size_t sindex =
-            size_t(std::upper_bound(std::begin(self.segments), std::end(self.segments), index) - 1 -
-                   std::begin(self.segments));
-        if (self.segments[sindex + 1] - index >= N)
-            return get_elements(self, cinput, index, sindex - 1, y);
-        else
+        const shape<indims> idx = self.in_shape.from_flat(self.out_shape.to_flat(index));
+        return get_elements(self.first(), idx, axis_params<indims - 1, 1>{});
+    }
+    else
+    {
+        const shape<indims> first_idx = self.in_shape.from_flat(self.out_shape.to_flat(index));
+        const shape<indims> last_idx =
+            self.in_shape.from_flat(self.out_shape.to_flat(index.add_at(N - 1, cindex<Axis>)));
+
+        const shape<indims> diff_idx = last_idx.sub(first_idx);
+
+        vec<T, N> result;
+        bool done = false;
+
+        if (diff_idx.sum() == N - 1)
         {
-            vec<T, N> result;
-            CMT_PRAGMA_CLANG(clang loop unroll_count(4))
-            for (size_t i = 0; i < N; i++)
+            cforeach(cvalseq_t<index_t, indims, 0>{},
+                     [&](auto n) CMT_INLINE_LAMBDA
+                     {
+                         constexpr index_t axis = val_of<decltype(n)>({});
+                         if (!done && diff_idx[axis] == N - 1)
+                         {
+                             result = get_elements(self.first(), first_idx, axis_params<axis, N>{});
+                             done   = true;
+                         }
+                     });
+        }
+
+        if (!done)
+        {
+            portable_vec<T, N> tmp;
+            CMT_LOOP_NOUNROLL
+            for (size_t i = 0; i < N; ++i)
             {
-                sindex           = self.segments[sindex + 1] == index ? sindex + 1 : sindex;
-                result.data()[i] = get_elements(self, cinput, index, sindex - 1, vec_shape<T, 1>()).front();
-                index++;
+                shape<Traits::dims> idx = index.add_at(i, cindex<Axis>);
+                tmp[i] = get_elements(self.first(), self.in_shape.from_flat(self.out_shape.to_flat(idx)),
+                                      axis_params<indims - 1, 1>{})
+                             .front();
             }
-            return result;
+            result = tmp;
         }
+        return result;
     }
+}
 
-protected:
-    template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_sequence& self, cinput_t cinput,
-                                                size_t index, size_t expr_index, vec_shape<T, N> y)
+template <typename Arg, index_t outdims, index_t Axis, size_t N,
+          typename Traits = expression_traits<expression_reshape<Arg, outdims>>,
+          typename T      = typename Traits::value_type>
+KFR_INTRINSIC void set_elements(expression_reshape<Arg, outdims>& self, const shape<Traits::dims>& index,
+                                const axis_params<Axis, N>& sh, const identity<vec<T, N>>& value)
+{
+    using ArgTraits          = typename Traits::ArgTraits;
+    constexpr index_t indims = ArgTraits::dims;
+    if constexpr (N == 1)
     {
-        return cswitch(
-            indicesfor_t<E...>(), expr_index, [&](auto val) { return self.argument(cinput, val, index, y); },
-            [&]() { return zerovector(y); });
+        const shape<indims> idx = self.in_shape.from_flat(self.out_shape.to_flat(index));
+        set_elements(self.first(), idx, axis_params<indims - 1, 1>{}, value);
     }
+    else
+    {
+        const shape<indims> first_idx = self.in_shape.from_flat(self.out_shape.to_flat(index));
+        const shape<indims> last_idx =
+            self.in_shape.from_flat(self.out_shape.to_flat(index.add_at(N - 1, cindex<Axis>)));
+
+        const shape<indims> diff_idx = last_idx.sub(first_idx);
+
+        bool done = false;
+
+        cforeach(cvalseq_t<index_t, indims, 0>{},
+                 [&](auto n) CMT_INLINE_LAMBDA
+                 {
+                     constexpr index_t axis = val_of<decltype(n)>({});
+                     if (!done && diff_idx[axis] == N - 1)
+                     {
+                         set_elements(self.first(), first_idx, axis_params<axis, N>{}, value);
+                         done = true;
+                     }
+                 });
+
+        if (!done)
+        {
+            CMT_LOOP_NOUNROLL
+            for (size_t i = 0; i < N; ++i)
+            {
+                set_elements(self.first(),
+                             self.in_shape.from_flat(self.out_shape.to_flat(index.add_at(i, cindex<Axis>))),
+                             axis_params<indims - 1, 1>{}, vec<T, 1>{ value[i] });
+            }
+        }
+    }
+}
+
+} // namespace CMT_ARCH_NAME
+
+// ----------------------------------------------------------------------------
 
-    std::array<size_t, base::count + 2> segments;
+struct symmetric_linspace_t
+{
 };
+constexpr inline const symmetric_linspace_t symmetric_linspace{};
 
-template <typename Fn, typename E>
-struct expression_adjacent : expression_with_arguments<E>
+template <typename T, bool truncated = true>
+struct expression_linspace
 {
-    using value_type = value_type_of<E>;
-    using T          = value_type;
+    T start;
+    T stop;
+    index_t size;
+    bool endpoint;
+    T invsize;
 
-    expression_adjacent(Fn&& fn, E&& e)
-        : expression_with_arguments<E>(std::forward<E>(e)), fn(std::forward<Fn>(fn))
+    expression_linspace(T start, T stop, size_t size, bool endpoint = false)
+        : start(start), stop(stop), size(size), invsize(1.0 / T(endpoint ? size - 1 : size))
     {
     }
 
-    template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_adjacent& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N>)
+    expression_linspace(symmetric_linspace_t, T symsize, size_t size, bool endpoint = false)
+        : expression_linspace(-symsize, +symsize, size, endpoint)
     {
-        const vec<T, N> in      = self.argument_first(cinput, index, vec_shape<T, N>());
-        const vec<T, N> delayed = insertleft(self.data, in);
-        self.data               = in[N - 1];
-        return self.fn(in, delayed);
     }
-    Fn fn;
-    mutable value_type data = value_type(0);
 };
-} // namespace internal
 
-/** @brief Returns the subrange of the given expression
- */
-template <typename E1>
-KFR_INTRINSIC internal::expression_slice<E1> slice(E1&& e1, size_t start, size_t size = infinite_size)
+template <typename T, bool truncated>
+struct expression_traits<expression_linspace<T, truncated>> : expression_traits_defaults
 {
-    return internal::expression_slice<E1>(std::forward<E1>(e1), start, size);
-}
+    using value_type             = T;
+    constexpr static size_t dims = 1;
 
-/** @brief Returns the expression truncated to the given size
- */
-template <typename E1>
-KFR_INTRINSIC internal::expression_slice<E1> truncate(E1&& e1, size_t size)
-{
-    return internal::expression_slice<E1>(std::forward<E1>(e1), 0, size);
-}
-
-/** @brief Returns the reversed expression
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_reverse<E1> reverse(E1&& e1)
-{
-    static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
-    return internal::expression_reverse<E1>(std::forward<E1>(e1));
-}
+    constexpr static shape<dims> get_shape(const expression_linspace<T, truncated>& self)
+    {
+        return shape<dims>(truncated ? self.size : infinite_size);
+    }
+    constexpr static shape<dims> get_shape()
+    {
+        return shape<dims>(truncated ? undefined_size : infinite_size);
+    }
+};
 
 /** @brief Returns evenly spaced numbers over a specified interval.
  *
@@ -434,155 +731,212 @@ KFR_INTRINSIC internal::expression_reverse<E1> reverse(E1&& e1)
  * @param stop The end value of the sequence. if ``endpoint`` is ``false``, the last value is excluded
  * @param size Number of samples to generate
  * @param endpoint If ``true``, ``stop`` is the last sample. Otherwise, it is not included
- * @param truncate If ``true``, linspace returns exactly size elements, otherwise, returns infinite sequence
+ * @tparam truncated If ``true``, linspace returns exactly size elements, otherwise, returns infinite sequence
+ * @tparam precise No longer used since KFR5, calculations are always precise
  */
-template <typename T1, typename T2, bool precise = false, typename TF = ftype<common_type<T1, T2>>>
-KFR_INTRINSIC internal::expression_linspace<TF, precise> linspace(T1 start, T2 stop, size_t size,
-                                                                  bool endpoint = false,
-                                                                  bool truncate = false)
+template <typename T = void, bool precise = false, bool truncated = false, typename T1, typename T2,
+          typename Tout = or_type<T, ftype<std::common_type_t<T1, T2>>>>
+KFR_INTRINSIC expression_linspace<Tout, truncated> linspace(T1 start, T2 stop, size_t size,
+                                                            bool endpoint = false, cbool_t<truncated> = {})
 {
-    return internal::expression_linspace<TF, precise>(start, stop, size, endpoint, truncate);
+    return { static_cast<Tout>(start), static_cast<Tout>(stop), size, endpoint };
 }
-KFR_FN(linspace)
 
-template <typename T, bool precise = false, typename TF = ftype<T>>
-KFR_INTRINSIC internal::expression_linspace<TF, precise> symmlinspace(T symsize, size_t size,
-                                                                      bool endpoint = false)
+/** @brief Returns evenly spaced numbers over a specified interval.
+ *
+ * @param symsize The sequence will have interval [-symsize..symsize]
+ * @param size Number of samples to generate
+ * @tparam truncated If ``true``, linspace returns exactly size elements, otherwise, returns infinite sequence
+ * @tparam precise No longer used since KFR5, calculations are always precise
+ */
+template <typename T, bool precise = false, bool truncated = false, typename Tout = ftype<T>>
+KFR_INTRINSIC expression_linspace<Tout, truncated> symmlinspace(T symsize, size_t size,
+                                                                cbool_t<truncated> = {})
 {
-    return internal::expression_linspace<TF, precise>(symmetric_linspace, symsize, size, endpoint);
+    return { symmetric_linspace, static_cast<Tout>(symsize), size, true };
 }
-KFR_FN(symmlinspace)
 
-template <size_t size, typename... E>
-KFR_INTRINSIC internal::expression_sequence<decay<E>...> gen_sequence(const size_t (&list)[size], E&&... gens)
+inline namespace CMT_ARCH_NAME
 {
-    static_assert(size == sizeof...(E), "Lists must be of equal length");
-    return internal::expression_sequence<decay<E>...>(list, std::forward<E>(gens)...);
-}
-KFR_FN(gen_sequence)
 
-/**
- * @brief Returns template expression that returns the result of calling \f$ fn(x_i, x_{i-1}) \f$
- */
-template <typename Fn, typename E1>
-KFR_INTRINSIC internal::expression_adjacent<Fn, E1> adjacent(Fn&& fn, E1&& e1)
+template <typename T, bool truncated, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_linspace<T, truncated>& self, const shape<1>& index,
+                                     const axis_params<0, N>&)
 {
-    return internal::expression_adjacent<Fn, E1>(std::forward<Fn>(fn), std::forward<E1>(e1));
+    using TI = itype<T>;
+    return mix((enumerate(vec_shape<T, N>()) + static_cast<T>(static_cast<TI>(index.front()))) * self.invsize,
+               self.start, self.stop);
 }
+} // namespace CMT_ARCH_NAME
 
-namespace internal
+// ----------------------------------------------------------------------------
+
+template <typename Arg1, typename Arg2, index_t ConcatAxis>
+struct expression_concatenate : public expression_with_arguments<Arg1, Arg2>
 {
-template <typename E>
-struct expression_padded : expression_with_arguments<E>
+    static_assert(expression_dims<Arg1> == expression_dims<Arg2>);
+    static_assert(std::is_same_v<expression_value_type<Arg1>, expression_value_type<Arg2>>);
+    constexpr static index_t dims = expression_dims<Arg1>;
+    shape<dims> size1;
+
+    KFR_MEM_INTRINSIC expression_concatenate(Arg1&& arg1, Arg2&& arg2)
+        : expression_with_arguments<Arg1, Arg2>{ std::forward<Arg1>(arg1), std::forward<Arg2>(arg2) },
+          size1(expression_traits<Arg1>::get_shape(arg1))
+    {
+    }
+};
+
+template <typename Arg1, typename Arg2, index_t ConcatAxis>
+struct expression_traits<expression_concatenate<Arg1, Arg2, ConcatAxis>> : expression_traits_defaults
 {
-    using value_type = value_type_of<E>;
+    using ArgTraits1 = expression_traits<Arg1>;
+    using ArgTraits2 = expression_traits<Arg2>;
 
-    KFR_MEM_INTRINSIC constexpr static size_t size() CMT_NOEXCEPT { return infinite_size; }
+    using value_type                    = typename ArgTraits1::value_type;
+    constexpr static size_t dims        = ArgTraits1::dims;
+    constexpr static bool random_access = ArgTraits1::random_access && ArgTraits2::random_access;
 
-    expression_padded(value_type fill_value, E&& e)
-        : expression_with_arguments<E>(std::forward<E>(e)), fill_value(fill_value), input_size(e.size())
+    KFR_INTRINSIC static shape<dims> concat_shape(const shape<dims>& sh1, const shape<dims>& sh2)
     {
+        shape<dims> result = min(sh1, sh2);
+        shape<dims> sum    = add_shape_undef(sh1, sh2);
+        result[ConcatAxis] = sum[ConcatAxis];
+        return result;
     }
 
-    template <size_t N>
-    KFR_INTRINSIC friend vec<value_type, N> get_elements(const expression_padded& self, cinput_t cinput,
-                                                         size_t index, vec_shape<value_type, N> y)
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(
+        const expression_concatenate<Arg1, Arg2, ConcatAxis>& self)
     {
-        if (index >= self.input_size)
-        {
-            return self.fill_value;
-        }
-        else if (index + N <= self.input_size)
-        {
-            return self.argument_first(cinput, index, y);
-        }
-        else
-        {
-            vec<value_type, N> x{};
-            for (size_t i = 0; i < N; i++)
-            {
-                if (index + i < self.input_size)
-                    x[i] = self.argument_first(cinput, index + i, vec_shape<value_type, 1>()).front();
-                else
-                    x[i] = self.fill_value;
-            }
-            return x;
-        }
+        return concat_shape(ArgTraits1::get_shape(std::get<0>(self.args)),
+                            ArgTraits2::get_shape(std::get<1>(self.args)));
+    }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape()
+    {
+        return concat_shape(ArgTraits1::get_shape(), ArgTraits2::get_shape());
     }
-    value_type fill_value;
-    const size_t input_size;
 };
-} // namespace internal
 
-/**
- * @brief Returns infinite template expression that pads e with fill_value (default value = 0)
- */
-template <typename E, typename T = value_type_of<E>>
-internal::expression_padded<E> padded(E&& e, const T& fill_value = T(0))
+template <index_t ConcatAxis = 0, typename Arg1, typename Arg2, KFR_ACCEPT_EXPRESSIONS(Arg1, Arg2)>
+KFR_INTRINSIC expression_concatenate<Arg1, Arg2, ConcatAxis> concatenate(Arg1&& arg1, Arg2&& arg2)
 {
-    static_assert(is_input_expression<E>, "E must be an input expression");
-    return internal::expression_padded<E>(fill_value, std::forward<E>(e));
+    return { std::forward<Arg1>(arg1), std::forward<Arg2>(arg2) };
 }
 
-namespace internal
+template <index_t ConcatAxis = 0, typename Arg1, typename Arg2, typename Arg3,
+          KFR_ACCEPT_EXPRESSIONS(Arg1, Arg2, Arg3)>
+KFR_INTRINSIC expression_concatenate<Arg1, expression_concatenate<Arg2, Arg3, ConcatAxis>, ConcatAxis>
+concatenate(Arg1&& arg1, Arg2&& arg2, Arg3&& arg3)
 {
-template <typename... E>
-struct multioutput : output_expression
+    return { std::forward<Arg1>(arg1), { std::forward<Arg2>(arg2), std::forward<Arg3>(arg3) } };
+}
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename Arg1, typename Arg2, index_t ConcatAxis, index_t NDims, index_t Axis, size_t N,
+          typename T = typename expression_traits<expression_concatenate<Arg1, Arg2, ConcatAxis>>::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_concatenate<Arg1, Arg2, ConcatAxis>& self,
+                                     const shape<NDims>& index, const axis_params<Axis, N>& sh)
 {
-    template <typename... E_>
-    multioutput(E_&&... e) : outputs(std::forward<E_>(e)...)
+    const shape<NDims> size1 = self.size1;
+    constexpr index_t Naxis  = ConcatAxis == Axis ? N : 1;
+    if (index[ConcatAxis] >= size1[ConcatAxis])
     {
+        shape index1 = index;
+        index1[ConcatAxis] -= size1[ConcatAxis];
+        return get_elements(std::get<1>(self.args), index1, sh);
     }
-    template <typename T, size_t N>
-    void operator()(coutput_t coutput, size_t index, const vec<T, N>& x)
+    else if (CMT_LIKELY(index[ConcatAxis] + Naxis <= size1[ConcatAxis]))
     {
-        cfor(csize_t<0>(), csize_t<sizeof...(E)>(),
-             [&](auto n) { std::get<val_of(decltype(n)())>(outputs)(coutput, index, x); });
+        return get_elements(std::get<0>(self.args), index, sh);
     }
-    std::tuple<E...> outputs;
+    else // (index < size1) && (index + N > size1)
+    {
+        vec<T, N> result;
+        // Here Axis == ConcatAxis
+        shape index1 = index;
+        for (index_t i = 0; i < size1[ConcatAxis] - index[ConcatAxis]; ++i)
+        {
+            result[i] = get_elements(std::get<0>(self.args), index1, axis_params<Axis, 1>{})[0];
+            ++index1[ConcatAxis];
+        }
+        index1[ConcatAxis] -= size1[ConcatAxis];
+        for (index_t i = size1[ConcatAxis] - index[ConcatAxis]; i < N; ++i)
+        {
+            result[i] = get_elements(std::get<1>(self.args), index1, axis_params<Axis, 1>{})[0];
+            ++index1[ConcatAxis];
+        }
+        return result;
+    }
+}
 
-private:
-};
+// ----------------------------------------------------------------------------
 
-template <typename... E>
-struct expression_pack : expression_with_arguments<E...>
+template <typename... Args>
+using expression_pack = expression_function<fn::packtranspose, Args...>;
+
+template <typename... Args, KFR_ACCEPT_EXPRESSIONS(Args...)>
+KFR_INTRINSIC expression_pack<Args...> pack(Args&&... args)
 {
-    constexpr static size_t count = sizeof...(E);
+    return { std::forward<Args>(args)... };
+}
 
-    expression_pack(E&&... e) : expression_with_arguments<E...>(std::forward<E>(e)...) {}
-    using value_type = vec<common_type<value_type_of<E>...>, count>;
-    using T          = value_type;
+namespace internal
+{
+template <typename... Args, index_t Axis, size_t N,
+          typename Tr = expression_traits<expression_function<fn::packtranspose, Args...>>, size_t... Indices>
+KFR_INTRINSIC void set_elements_packed(expression_function<fn::packtranspose, Args...>& self,
+                                       shape<Tr::dims> index, axis_params<Axis, N> sh,
+                                       const vec<typename Tr::value_type, N>& x, csizes_t<Indices...>)
+{
+    constexpr size_t count          = sizeof...(Args);
+    using ST                        = subtype<typename Tr::value_type>;
+    const vec<vec<ST, N>, count> xx = vec<vec<ST, N>, count>::from_flatten(transpose<count>(flatten(x)));
+    (set_elements(std::get<Indices>(self.args), index, sh, xx[Indices]), ...);
+}
+} // namespace internal
 
-    using expression_with_arguments<E...>::size;
+template <typename... Args, index_t Axis, size_t N,
+          typename Tr = expression_traits<expression_function<fn::packtranspose, Args...>>>
+KFR_INTRINSIC void set_elements(expression_function<fn::packtranspose, Args...>& self, shape<Tr::dims> index,
+                                axis_params<Axis, N> sh, const identity<vec<typename Tr::value_type, N>>& x)
+{
+    internal::set_elements_packed(self, index, sh, x, csizeseq<sizeof...(Args)>);
+}
 
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_pack& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
-    {
-        return self.call(cinput, fn::packtranspose(), index, y);
-    }
-};
+// ----------------------------------------------------------------------------
 
 template <typename... E>
-struct expression_unpack : private expression_with_arguments<E...>, output_expression
+struct expression_unpack : expression_with_arguments<E...>, expression_traits_defaults
 {
-    using expression_with_arguments<E...>::begin_block;
-    using expression_with_arguments<E...>::end_block;
-    using output_expression::begin_block;
-    using output_expression::end_block;
     constexpr static size_t count = sizeof...(E);
 
-    expression_unpack(E&&... e) : expression_with_arguments<E...>(std::forward<E>(e)...) {}
+    using first_arg_traits = typename expression_with_arguments<E...>::first_arg_traits;
+
+    constexpr static index_t dims = first_arg_traits::dims;
+    using first_value_type        = typename first_arg_traits::value_type;
+
+    using value_type = vec<first_value_type, count>;
+
+    static_assert(((expression_dims<E> == dims) && ...));
+    static_assert(((std::is_same_v<expression_value_type<E>, first_value_type>)&&...));
+
+    constexpr static shape<dims> get_shape(const expression_unpack& self)
+    {
+        return first_arg_traits::get_shape(self.first());
+    }
+    constexpr static shape<dims> get_shape() { return first_arg_traits::get_shape(); }
 
-    using expression_with_arguments<E...>::size;
+    expression_unpack(E&&... e) : expression_with_arguments<E...>(std::forward<E>(e)...) {}
 
-    template <typename U, size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t coutput, size_t index, const vec<vec<U, count>, N>& x)
+    template <index_t Axis, size_t N>
+    KFR_INTRINSIC friend void set_elements(expression_unpack& self, shape<dims> index,
+                                           axis_params<Axis, N> sh, const identity<vec<value_type, N>>& x)
     {
-        output(coutput, index, x, csizeseq<count>);
+        self.output(index, sh, x, csizeseq<count>);
     }
 
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     KFR_MEM_INTRINSIC expression_unpack& operator=(Input&& input)
     {
         process(*this, std::forward<Input>(input));
@@ -590,118 +944,136 @@ struct expression_unpack : private expression_with_arguments<E...>, output_expre
     }
 
 private:
-    template <typename U, size_t N, size_t... indices>
-    void output(coutput_t coutput, size_t index, const vec<vec<U, count>, N>& x, csizes_t<indices...>)
+    template <index_t Axis, size_t N, size_t... indices>
+    KFR_MEM_INTRINSIC void output(shape<dims> index, axis_params<Axis, N> sh, const vec<value_type, N>& x,
+                                  csizes_t<indices...>)
     {
-        const vec<vec<U, N>, count> xx = vec<vec<U, N>, count>::from_flatten(transpose<count>(flatten(x)));
-        swallow{ (std::get<indices>(this->args)(coutput, index, xx[indices]), void(), 0)... };
+        const vec<vec<first_value_type, N>, count> xx =
+            vec<vec<first_value_type, N>, count>::from_flatten(transpose<count>(flatten(x)));
+        (set_elements(std::get<indices>(this->args), index, sh, xx[indices]), ...);
     }
 };
-} // namespace internal
 
-template <typename... E, KFR_ENABLE_IF(is_output_expressions<E...>)>
-internal::expression_unpack<E...> unpack(E&&... e)
-{
-    return internal::expression_unpack<E...>(std::forward<E>(e)...);
-}
+// ----------------------------------------------------------------------------
 
-template <typename... E, KFR_ENABLE_IF(is_input_expressions<E...>)>
-internal::expression_pack<internal::arg<E>...> pack(E&&... e)
+template <typename... E, enable_if_output_expressions<E...>* = nullptr>
+KFR_FUNCTION expression_unpack<E...> unpack(E&&... e)
 {
-    return internal::expression_pack<internal::arg<E>...>(std::forward<E>(e)...);
+    return { std::forward<E>(e)... };
 }
 
-template <typename OutExpr, typename InExpr>
-struct task_partition
+// ----------------------------------------------------------------------------
+
+template <typename Fn, typename E>
+struct expression_adjacent : expression_with_traits<E>
 {
-    task_partition(OutExpr&& output, InExpr&& input, size_t size, size_t chunk_size, size_t count)
-        : output(std::forward<OutExpr>(output)), input(std::forward<InExpr>(input)), size(size),
-          chunk_size(chunk_size), count(count)
+    using value_type                           = typename expression_with_traits<E>::value_type;
+    constexpr static inline index_t dims       = expression_with_traits<E>::dims;
+    constexpr static inline bool random_access = false;
+
+    expression_adjacent(Fn&& fn, E&& e)
+        : expression_with_traits<E>(std::forward<E>(e)), fn(std::forward<Fn>(fn))
     {
     }
-    OutExpr output;
-    InExpr input;
-    size_t size;
-    size_t chunk_size;
-    size_t count;
-    size_t operator()(size_t index)
+
+    template <size_t N, index_t VecAxis>
+    KFR_INTRINSIC friend vec<value_type, N> get_elements(const expression_adjacent& self, shape<dims> index,
+                                                         axis_params<VecAxis, N> sh)
     {
-        if (index >= count)
-            return 0;
-        return process(output, input, index * chunk_size,
-                       index == count - 1 ? size - (count - 1) * chunk_size : chunk_size);
+        const vec<value_type, N> in      = get_elements(self.first(), index, sh);
+        const vec<value_type, N> delayed = insertleft(self.data, in);
+        self.data                        = in.back();
+        return self.fn(in, delayed);
     }
+    Fn fn;
+    mutable value_type data = value_type(0);
 };
 
-template <typename OutExpr, typename InExpr, typename T = value_type_of<InExpr>>
-task_partition<OutExpr, InExpr> partition(OutExpr&& output, InExpr&& input, size_t count,
-                                          size_t minimum_size = 0)
+/**
+ * @brief Returns template expression that returns the result of calling \f$ fn(x_i, x_{i-1}) \f$
+ */
+template <typename Fn, typename E1>
+KFR_INTRINSIC expression_adjacent<Fn, E1> adjacent(Fn&& fn, E1&& e1)
 {
-    static_assert(!is_infinite<OutExpr> || !is_infinite<InExpr>, "");
+    return { std::forward<Fn>(fn), std::forward<E1>(e1) };
+}
 
-    minimum_size            = minimum_size == 0 ? vector_width<T> * 8 : minimum_size;
-    const size_t size       = size_min(output.size(), input.size());
-    const size_t chunk_size = align_up(std::max(size / count, minimum_size), vector_width<T>);
+// ----------------------------------------------------------------------------
 
-    task_partition<OutExpr, InExpr> result(std::forward<OutExpr>(output), std::forward<InExpr>(input), size,
-                                           chunk_size, (size + chunk_size - 1) / chunk_size);
-    return result;
-}
+template <typename E>
+struct expression_trace : public expression_with_traits<E>
+{
+    using expression_with_traits<E>::expression_with_traits;
+    using value_type                     = typename expression_with_traits<E>::value_type;
+    constexpr static inline index_t dims = expression_with_traits<E>::dims;
 
-namespace internal
+    template <size_t N, index_t VecAxis>
+    KFR_INTRINSIC friend vec<value_type, N> get_elements(const expression_trace& self, shape<dims> index,
+                                                         axis_params<VecAxis, N> sh)
+    {
+        const vec<value_type, N> in = get_elements(self.first(), index, sh);
+        println("[", fmt<'s', 16>(array_to_string(dims, index.data(), INT_MAX, INT_MAX, ",", "", "")),
+                "] = ", in);
+        return in;
+    }
+};
+
+/**
+ * @brief Returns template expression that prints all processed values for debug
+ */
+template <typename E1>
+KFR_INTRINSIC expression_trace<E1> trace(E1&& e1)
 {
+    return { std::forward<E1>(e1) };
+}
 
-template <typename E1, typename E2>
-struct concatenate_expression : expression_with_arguments<E1, E2>
+// ----------------------------------------------------------------------------
+
+template <index_t Dims, typename E>
+struct expression_dimensions : public expression_with_traits<E>
 {
-    using value_type = common_type<value_type_of<E1>, value_type_of<E2>>;
-    using T          = value_type;
+    using expression_with_traits<E>::expression_with_traits;
+    using value_type                        = typename expression_with_traits<E>::value_type;
+    constexpr static inline index_t in_dims = expression_with_traits<E>::dims;
+    constexpr static inline index_t dims    = Dims;
+    using first_arg_traits                  = typename expression_with_traits<E>::first_arg_traits;
 
-    KFR_MEM_INTRINSIC constexpr size_t size() const CMT_NOEXCEPT
+    constexpr static shape<dims> get_shape(const expression_dimensions& self)
     {
-        return size_add(std::get<0>(this->args).size(), std::get<1>(this->args).size());
+        return first_arg_traits::get_shape(self.first()).template extend<dims>(infinite_size);
     }
-    template <typename E1_, typename E2_>
-    concatenate_expression(E1_&& e1, E2_&& e2)
-        : expression_with_arguments<E1, E2>(std::forward<E1_>(e1), std::forward<E2_>(e2))
+    constexpr static shape<dims> get_shape()
     {
+        return first_arg_traits::get_shape().template extend<dims>(infinite_size);
     }
 
-    template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const concatenate_expression& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    template <size_t N, index_t VecAxis>
+    KFR_INTRINSIC friend vec<value_type, N> get_elements(const expression_dimensions& self, shape<dims> index,
+                                                         axis_params<VecAxis, N> sh)
     {
-        const size_t size0 = std::get<0>(self.args).size();
-        if (index >= size0)
+        shape<in_dims> inindex = index.template trim<in_dims>();
+        if constexpr (VecAxis >= in_dims)
         {
-            return self.argument(cinput, csize<1>, index - size0, y);
+            return repeat<N>(get_elements(self.first(), inindex, axis_params_v<0, 1>));
         }
-        else if (index + N <= size0)
-        {
-            return self.argument(cinput, csize<0>, index, y);
-        }
-        else // (index < size0) && (index + N > size0)
+        else
         {
-            vec<T, N> result;
-            for (size_t i = 0; i < size0 - index; ++i)
-            {
-                result[i] = self.argument(cinput, csize<0>, index + i, vec_shape<T, 1>{})[0];
-            }
-            for (size_t i = size0 - index; i < N; ++i)
-            {
-                result[i] = self.argument(cinput, csize<1>, index + i - size0, vec_shape<T, 1>{})[0];
-            }
-            return result;
+            return get_elements(self.first(), inindex, sh);
         }
     }
 };
-} // namespace internal
 
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expression<E1>&& is_input_expression<E2>)>
-internal::concatenate_expression<E1, E2> concatenate(E1&& e1, E2&& e2)
+/**
+ * @brief Returns template expression with gien number of dimensions
+ */
+template <index_t Dims, typename E1>
+KFR_INTRINSIC expression_dimensions<Dims, E1> dimensions(E1&& e1)
 {
-    return { std::forward<E1>(e1), std::forward<E2>(e2) };
+    static_assert(Dims >= expression_dims<E1>, "Number of dimensions must be greater or equal");
+    return { std::forward<E1>(e1) };
 }
 
+// ----------------------------------------------------------------------------
+
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/base/conversion.hpp b/include/kfr/base/conversion.hpp
@@ -25,7 +25,7 @@
  */
 #pragma once
 
-#include "../math/clamp.hpp"
+#include "../simd/clamp.hpp"
 #include "../simd/types.hpp"
 #include "../simd/vec.hpp"
 #include "univector.hpp"
@@ -172,18 +172,18 @@ struct audio_sample_traits<f64>
 };
 
 template <typename Tout, typename Tin, typename Tout_traits = audio_sample_traits<Tout>,
-          typename Tin_traits = audio_sample_traits<Tin>, KFR_ENABLE_IF(is_same<Tin, Tout>)>
+          typename Tin_traits = audio_sample_traits<Tin>, KFR_ENABLE_IF(std::is_same_v<Tin, Tout>)>
 inline Tout convert_sample(const Tin& in)
 {
     return in;
 }
 
 template <typename Tout, typename Tin, typename Tout_traits = audio_sample_traits<Tout>,
-          typename Tin_traits = audio_sample_traits<Tin>, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
+          typename Tin_traits = audio_sample_traits<Tin>, KFR_ENABLE_IF(!std::is_same_v<Tin, Tout>)>
 inline Tout convert_sample(const Tin& in)
 {
     constexpr auto scale = Tout_traits::scale / Tin_traits::scale;
-    return innercast<Tout>(clamp(in * scale, -Tout_traits::scale, +Tout_traits::scale));
+    return broadcastto<Tout>(clamp(in * scale, -Tout_traits::scale, +Tout_traits::scale));
 }
 
 /// @brief Deinterleaves and converts audio samples
@@ -202,7 +202,7 @@ void deinterleave(Tout* out[], const Tin* in, size_t channels, size_t size)
 template <typename Tout, univector_tag Tag1, univector_tag Tag2, typename Tin, univector_tag Tag3>
 void deinterleave(univector2d<Tout, Tag1, Tag2>& out, const univector<Tin, Tag3>& in)
 {
-    if (in.empty() || out.empty())
+    if (CMT_UNLIKELY(in.empty() || out.empty()))
         return;
     std::vector<Tout*> ptrs(out.size());
     for (size_t i = 0; i < out.size(); ++i)
@@ -228,7 +228,7 @@ void interleave(Tout* out, const Tin* in[], size_t channels, size_t size)
 template <typename Tout, univector_tag Tag1, typename Tin, univector_tag Tag2, univector_tag Tag3>
 void interleave(univector<Tout, Tag1>& out, const univector2d<Tin, Tag2, Tag3>& in)
 {
-    if (in.empty() || out.empty())
+    if (CMT_UNLIKELY(in.empty() || out.empty()))
         return;
     std::vector<const Tin*> ptrs(in.size());
     for (size_t i = 0; i < in.size(); ++i)
@@ -242,7 +242,7 @@ void interleave(univector<Tout, Tag1>& out, const univector2d<Tin, Tag2, Tag3>& 
 template <typename Tin, univector_tag Tag1, univector_tag Tag2>
 univector<Tin> interleave(const univector2d<Tin, Tag1, Tag2>& in)
 {
-    if (in.empty())
+    if (CMT_UNLIKELY(in.empty()))
         return {};
     univector<Tin> result(in.size() * in[0].size());
     interleave(result, in);
@@ -264,20 +264,24 @@ void convert(Tout* out, const Tin* in, size_t size)
 template <typename Tout, typename Tout_traits = audio_sample_traits<Tout>>
 void convert(Tout* out, const void* in, audio_sample_type in_type, size_t size)
 {
-    cswitch(audio_sample_type_clist{}, in_type, [&](auto t) {
-        using type = typename audio_sample_get_type<val_of(decltype(t)())>::type;
-        convert(out, reinterpret_cast<const type*>(in), size);
-    });
+    cswitch(audio_sample_type_clist{}, in_type,
+            [&](auto t)
+            {
+                using type = typename audio_sample_get_type<val_of(decltype(t)())>::type;
+                convert(out, reinterpret_cast<const type*>(in), size);
+            });
 }
 
 /// @brief Converts audio samples (output format is known at runtime)
 template <typename Tin, typename Tin_traits = audio_sample_traits<Tin>>
 void convert(void* out, audio_sample_type out_type, const Tin* in, size_t size)
 {
-    cswitch(audio_sample_type_clist{}, out_type, [&](auto t) {
-        using type = typename audio_sample_get_type<val_of(decltype(t)())>::type;
-        convert(reinterpret_cast<type*>(out), in, size);
-    });
+    cswitch(audio_sample_type_clist{}, out_type,
+            [&](auto t)
+            {
+                using type = typename audio_sample_get_type<val_of(decltype(t)())>::type;
+                convert(reinterpret_cast<type*>(out), in, size);
+            });
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/base/expression.hpp b/include/kfr/base/expression.hpp
@@ -26,9 +26,11 @@
 #pragma once
 
 #include "../simd/platform.hpp"
+#include "../simd/read_write.hpp"
 #include "../simd/shuffle.hpp"
 #include "../simd/types.hpp"
 #include "../simd/vec.hpp"
+#include "shape.hpp"
 
 #include <tuple>
 #ifdef KFR_STD_COMPLEX
@@ -55,448 +57,894 @@ struct complex;
 #endif
 #endif
 
-constexpr size_t inout_context_size = 16;
-
-struct coutput_context
+struct accepts_any
 {
-    pconstvoid data[inout_context_size];
 };
 
-struct cinput_context
-{
-    pconstvoid data[inout_context_size];
-};
+template <typename T, typename V = void>
+struct expression_traits;
 
-using coutput_t = const coutput_context*;
-using cinput_t  = const cinput_context*;
-
-constexpr cinput_t cinput   = nullptr;
-constexpr coutput_t coutput = nullptr;
+template <typename T>
+using expression_value_type = typename expression_traits<T>::value_type;
 
-constexpr size_t infinite_size = static_cast<size_t>(-1);
+template <typename T>
+constexpr inline size_t expression_dims = expression_traits<T>::dims;
 
-CMT_INTRINSIC constexpr size_t size_add(size_t x, size_t y)
+template <typename T>
+constexpr inline shape<expression_dims<T>> get_shape(T&& expr)
 {
-    return (x == infinite_size || y == infinite_size) ? infinite_size : x + y;
+    return expression_traits<T>::get_shape(expr);
 }
-
-CMT_INTRINSIC constexpr size_t size_sub(size_t x, size_t y)
+template <typename T>
+constexpr inline shape<expression_dims<T>> get_shape()
 {
-    return (x == infinite_size || y == infinite_size) ? infinite_size : (x > y ? x - y : 0);
+    return expression_traits<T>::get_shape();
 }
 
-CMT_INTRINSIC constexpr size_t size_min(size_t x) CMT_NOEXCEPT { return x; }
-
-template <typename... Ts>
-CMT_INTRINSIC constexpr size_t size_min(size_t x, size_t y, Ts... rest) CMT_NOEXCEPT
+template <typename T>
+struct expression_traits<const T, std::void_t<expression_value_type<T>>> : expression_traits<T>
 {
-    return size_min(x < y ? x : y, rest...);
-}
+};
+template <typename T>
+struct expression_traits<T&, std::void_t<expression_value_type<T>>> : expression_traits<T>
+{
+};
+template <typename T>
+struct expression_traits<T&&, std::void_t<expression_value_type<T>>> : expression_traits<T>
+{
+};
+template <typename T>
+struct expression_traits<const T&, std::void_t<expression_value_type<T>>> : expression_traits<T>
+{
+};
+template <typename T>
+struct expression_traits<const T&&, std::void_t<typename expression_traits<T>::value_type>>
+    : expression_traits<T>
+{
+};
 
-/// @brief Base class of all input expressoins
-struct input_expression
+// This allows old style expressions+traits
+template <typename T>
+struct expression_traits<T, std::void_t<decltype(T::random_access), decltype(T::get_shape())>>
 {
-    KFR_MEM_INTRINSIC constexpr static size_t size() CMT_NOEXCEPT { return infinite_size; }
+    using value_type             = typename T::value_type;
+    constexpr static size_t dims = T::dims;
+    constexpr static shape<dims> get_shape(const T& self) { return T::get_shape(self); }
+    constexpr static shape<dims> get_shape() { return T::get_shape(); }
+
+    constexpr static inline bool explicit_operand = T::explicit_operand;
+    constexpr static inline bool random_access    = T::random_access;
+};
 
-    constexpr static bool is_incremental = false;
+struct expression_traits_defaults
+{
+    // using value_type = accepts_any;
+    // constexpr static size_t dims = 0;
+    // constexpr static shape<dims> get_shape(const T&);
+    // constexpr static shape<dims> get_shape();
 
-    KFR_MEM_INTRINSIC constexpr void begin_block(cinput_t, size_t) const {}
-    KFR_MEM_INTRINSIC constexpr void end_block(cinput_t, size_t) const {}
+    constexpr static inline bool explicit_operand = true;
+    constexpr static inline bool random_access    = true;
 };
 
-/// @brief Base class of all output expressoins
-struct output_expression
+template <typename T, typename = void>
+constexpr inline bool has_expression_traits = false;
+
+template <typename T>
+constexpr inline bool has_expression_traits<T, std::void_t<typename expression_traits<T>::value_type>> = true;
+
+namespace internal_generic
 {
-    KFR_MEM_INTRINSIC constexpr static size_t size() CMT_NOEXCEPT { return infinite_size; }
+template <typename... Xs>
+using expressions_condition = std::void_t<expression_traits<Xs>...>;
+template <typename... Xs>
+using expressions_check = std::enable_if_t<(expression_traits<Xs>::explicit_operand || ...)>;
+} // namespace internal_generic
 
-    constexpr static bool is_incremental = false;
+template <typename T>
+using enable_if_input_expression =
+    std::void_t<expression_traits<T>,
+                decltype(get_elements(std::declval<T>(), shape<expression_traits<T>::dims>(),
+                                      axis_params<0, 1>{}))>;
 
-    KFR_MEM_INTRINSIC constexpr void begin_block(coutput_t, size_t) const {}
-    KFR_MEM_INTRINSIC constexpr void end_block(coutput_t, size_t) const {}
-};
+template <typename T>
+using enable_if_output_expression =
+    std::void_t<expression_traits<T>,
+                decltype(set_elements(std::declval<T&>(), shape<expression_traits<T>::dims>(),
+                                      axis_params<0, 1>{},
+                                      vec<typename expression_traits<T>::value_type, 1>{}))>;
+
+template <typename T>
+using enable_if_input_output_expression =
+    std::void_t<enable_if_input_expression<T>, enable_if_output_expression<T>>;
+
+template <typename... T>
+using enable_if_input_expressions = std::void_t<enable_if_input_expression<T>...>;
+
+template <typename... T>
+using enable_if_output_expressions = std::void_t<enable_if_output_expression<T>...>;
+
+template <typename... T>
+using enable_if_input_output_expressions = std::void_t<enable_if_input_output_expression<T>...>;
+
+template <typename E, typename = void>
+constexpr inline bool is_input_expression = false;
+
+template <typename E>
+constexpr inline bool is_input_expression<E, enable_if_input_expression<E>> = true;
+
+template <typename E, typename = void>
+constexpr inline bool is_output_expression = false;
 
-/// @brief Check if the type argument is an input expression
 template <typename E>
-constexpr inline bool is_input_expression = is_base_of<input_expression, decay<E>>;
+constexpr inline bool is_output_expression<E, enable_if_output_expression<E>> = true;
 
-/// @brief Check if the type arguments are an input expressions
-template <typename... Es>
-constexpr inline bool is_input_expressions = (is_base_of<input_expression, decay<Es>> || ...);
+template <typename E, typename = void>
+constexpr inline bool is_input_output_expression = false;
 
-/// @brief Check if the type argument is an output expression
 template <typename E>
-constexpr inline bool is_output_expression = is_base_of<output_expression, decay<E>>;
+constexpr inline bool is_input_output_expression<E, enable_if_input_output_expression<E>> = true;
 
-/// @brief Check if the type arguments are an output expressions
-template <typename... Es>
-constexpr inline bool is_output_expressions = (is_base_of<output_expression, decay<Es>> || ...);
+#define KFR_ACCEPT_EXPRESSIONS(...) internal_generic::expressions_check<__VA_ARGS__>* = nullptr
+
+#define KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)                                                                  \
+    KFR_ENABLE_IF(is_input_output_expression<E1>&& is_input_expression<E2>)
+
+template <typename T>
+constexpr inline bool is_expr_element = std::is_same_v<std::remove_cv_t<T>, T>&& is_vec_element<T>;
+
+template <typename E>
+constexpr inline bool is_infinite = expression_traits<E>::get_shape().has_infinity();
 
-/// @brief Check if the type argument is a number or a vector of numbers
 template <typename T>
-constexpr inline bool is_numeric = is_number<deep_subtype<T>>;
+struct expression_traits<T, std::enable_if_t<is_expr_element<T>>> : expression_traits_defaults
+{
+    using value_type                              = T;
+    constexpr static size_t dims                  = 0;
+    constexpr static inline bool explicit_operand = false;
+
+    KFR_MEM_INTRINSIC constexpr static shape<0> get_shape(const T& self) { return {}; }
+    KFR_MEM_INTRINSIC constexpr static shape<0> get_shape() { return {}; }
+};
+
+template <typename E, enable_if_input_expression<E>* = nullptr, index_t Dims = expression_dims<E>>
+inline expression_value_type<E> get_element(E&& expr, shape<Dims> index)
+{
+    return get_elements(expr, index, axis_params_v<0, 1>).front();
+}
+
+template <index_t Axis, index_t Dims, index_t VecAxis, size_t N>
+inline vec<index_t, N> indices(const shape<Dims>& index, axis_params<VecAxis, N>)
+{
+    if constexpr (Axis == VecAxis)
+        return index[Axis] + enumerate<index_t, N, 0, 1>();
+    else
+        return index[Axis];
+}
 
-/// @brief Check if the type arguments are a numbers or a vectors of numbers
-template <typename... Ts>
-constexpr inline bool is_numeric_args = (is_numeric<Ts> && ...);
+namespace internal_generic
+{
+struct anything
+{
+    template <typename Expr>
+    constexpr anything(Expr&&)
+    {
+    }
+};
+} // namespace internal_generic
 
 inline namespace CMT_ARCH_NAME
 {
 
-#ifdef KFR_TESTING
+template <index_t Dims, typename U = unsigned_type<sizeof(index_t) * 8>>
+KFR_INTRINSIC vec<U, Dims> to_vec(const shape<Dims>& sh)
+{
+    return read<Dims>(reinterpret_cast<const U*>(sh.data()));
+}
+
 namespace internal
 {
-template <typename T, size_t N, typename Fn>
-inline vec<T, N> get_fn_value(size_t index, Fn&& fn)
+template <size_t width, typename Fn>
+KFR_INTRINSIC void block_process_impl(size_t& i, size_t size, Fn&& fn)
 {
-    return apply(fn, enumerate<size_t, N>() + index);
+    CMT_LOOP_NOUNROLL
+    for (; i < size / width * width; i += width)
+        fn(i, csize_t<width>());
 }
 } // namespace internal
 
-template <typename E, typename Fn>
-void test_expression(const E& expr, size_t size, Fn&& fn, const char* expression = nullptr)
+template <size_t... widths, typename Fn>
+KFR_INTRINSIC void block_process(size_t size, csizes_t<widths...>, Fn&& fn)
 {
-    using T                  = value_type_of<E>;
-    ::testo::test_case* test = ::testo::active_test();
-    auto&& c                 = ::testo::make_comparison();
-    test->check(c <= expr.size() == size, expression);
-    if (expr.size() != size)
-        return;
-    size                     = size_min(size, 200);
-    constexpr size_t maxsize = 2 + ilog2(vector_width<T> * 2);
-    size_t g                 = 1;
-    for (size_t i = 0; i < size;)
-    {
-        const size_t next_size = std::min(prev_poweroftwo(size - i), g);
-        g *= 2;
-        if (g > (1 << (maxsize - 1)))
-            g = 1;
-
-        cswitch(csize<1> << csizeseq<maxsize>, next_size, [&](auto x) {
-            constexpr size_t nsize = val_of(decltype(x)());
-            ::testo::scope s(as_string("i = ", i, " width = ", nsize));
-            test->check(c <= get_elements(expr, cinput, i, vec_shape<T, nsize>()) ==
-                            internal::get_fn_value<T, nsize>(i, fn),
-                        expression);
-        });
-        i += next_size;
-    }
+    size_t i = 0;
+    swallow{ (internal::block_process_impl<widths>(i, size, std::forward<Fn>(fn)), 0)... };
 }
-#define TESTO_CHECK_EXPRESSION(expr, size, ...) ::kfr::test_expression(expr, size, __VA_ARGS__, #expr)
 
-#ifndef TESTO_NO_SHORT_MACROS
-#define CHECK_EXPRESSION TESTO_CHECK_EXPRESSION
-#endif
-#endif
+template <index_t Dims>
+KFR_INTRINSIC void begin_pass(const internal_generic::anything&, shape<Dims> start, shape<Dims> stop)
+{
+}
+template <index_t Dims>
+KFR_INTRINSIC void end_pass(const internal_generic::anything&, shape<Dims> start, shape<Dims> stop)
+{
+}
 
-namespace internal
+template <typename T, index_t Axis, size_t N, KFR_ENABLE_IF(is_expr_element<std::decay_t<T>>)>
+KFR_INTRINSIC vec<std::decay_t<T>, N> get_elements(T&& self, const shape<0>& index,
+                                                   const axis_params<Axis, N>&)
+{
+    return self;
+}
+template <typename T, index_t Axis, size_t N, KFR_ENABLE_IF(is_expr_element<std::decay_t<T>>)>
+KFR_INTRINSIC void set_elements(T& self, const shape<0>& index, const axis_params<Axis, N>&,
+                                const identity<vec<T, N>>& val)
 {
+    static_assert(N == 1);
+    static_assert(!std::is_const_v<T>);
+    self = val.front();
+}
 
-template <typename T, typename Fn>
-struct expression_lambda : input_expression
+template <typename... Args>
+struct expression_with_arguments
 {
-    using value_type = T;
-    KFR_MEM_INTRINSIC expression_lambda(Fn&& fn) : fn(std::move(fn)) {}
+    constexpr static size_t count = sizeof...(Args);
+
+    using type_list = ctypes_t<Args...>;
+
+    template <size_t idx>
+    using nth = typename type_list::template nth<idx>;
+
+    using first_arg = typename type_list::template nth<0>;
+
+    template <size_t idx>
+    using nth_trait = expression_traits<typename type_list::template nth<idx>>;
+
+    using first_arg_traits = expression_traits<first_arg>;
+
+    std::tuple<Args...> args;
+    std::array<dimset, count> masks;
 
-    template <size_t N, KFR_ENABLE_IF(N&& is_callable<Fn, cinput_t, size_t, vec_shape<T, N>>)>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_lambda& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC auto& first() { return std::get<0>(args); }
+    KFR_INTRINSIC const auto& first() const { return std::get<0>(args); }
+
+    template <size_t idx>
+    KFR_INTRINSIC dimset getmask(csize_t<idx> = {}) const
     {
-        return self.fn(cinput, index, y);
+        static_assert(idx < count);
+        using Traits = expression_traits<nth<idx>>;
+        if constexpr (sizeof...(Args) <= 1 || Traits::dims == 0)
+        {
+            return dimset(-1);
+        }
+        else
+        {
+            if constexpr (Traits::get_shape().product() > 0)
+            {
+                return Traits::get_shape().tomask();
+            }
+            else
+            {
+                return std::get<idx>(masks);
+            }
+        }
     }
 
-    template <size_t N, KFR_ENABLE_IF(N&& is_callable<Fn, size_t>)>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_lambda& self, cinput_t, size_t index,
-                                                vec_shape<T, N>)
+    template <typename Fn>
+    KFR_INTRINSIC constexpr auto fold(Fn&& fn) const
     {
-        return apply(self.fn, enumerate<size_t, N>() + index);
+        return fold_impl(std::forward<Fn>(fn), csizeseq<count>);
     }
-    template <size_t N, KFR_ENABLE_IF(N&& is_callable<Fn>)>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_lambda& self, cinput_t, size_t,
-                                                vec_shape<T, N>)
+    template <typename Fn>
+    KFR_INTRINSIC constexpr static auto fold_idx(Fn&& fn)
     {
-        return apply<N>(self.fn);
+        return fold_idx_impl(std::forward<Fn>(fn), csizeseq<count>);
     }
 
-    Fn fn;
+    KFR_INTRINSIC expression_with_arguments(Args&&... args) : args{ std::forward<Args>(args)... }
+    {
+        cforeach(csizeseq<count>,
+                 [&](auto idx_) CMT_INLINE_LAMBDA
+                 {
+                     constexpr size_t idx = val_of(decltype(idx_)());
+                     shape sh             = expression_traits<nth<idx>>::get_shape(std::get<idx>(this->args));
+                     masks[idx]           = sh.tomask();
+                 });
+    }
+
+private:
+    template <typename Fn, size_t... indices>
+    KFR_INTRINSIC constexpr auto fold_impl(Fn&& fn, csizes_t<indices...>) const
+    {
+        return fn(std::get<indices>(args)...);
+    }
+    template <typename Fn, size_t... indices>
+    KFR_INTRINSIC constexpr static auto fold_idx_impl(Fn&& fn, csizes_t<indices...>)
+    {
+        return fn(csize<indices>...);
+    }
 };
-} // namespace internal
 
-template <typename T, typename Fn>
-internal::expression_lambda<T, decay<Fn>> lambda(Fn&& fn)
+template <typename Arg>
+struct expression_with_arguments<Arg>
 {
-    return internal::expression_lambda<T, decay<Fn>>(std::move(fn));
-}
+    constexpr static size_t count = 1;
 
-namespace internal
-{
+    using type_list = ctypes_t<Arg>;
 
-template <typename T, typename = void>
-struct is_infinite_impl : std::false_type
-{
-};
+    template <size_t idx>
+    using nth = Arg;
 
-template <typename T>
-struct is_infinite_impl<T, void_t<decltype(T::size())>>
-    : std::integral_constant<bool, T::size() == infinite_size>
-{
-};
-} // namespace internal
+    using first_arg = Arg;
 
-template <typename T>
-constexpr inline bool is_infinite = internal::is_infinite_impl<T>::value;
+    template <size_t idx>
+    using nth_trait = expression_traits<Arg>;
 
-namespace internal
-{
+    using first_arg_traits = expression_traits<first_arg>;
 
-template <typename... Args>
-struct expression_with_arguments : input_expression
-{
-    KFR_MEM_INTRINSIC constexpr size_t size() const CMT_NOEXCEPT
+    std::tuple<Arg> args;
+
+    KFR_MEM_INTRINSIC auto& first() { return std::get<0>(args); }
+    KFR_MEM_INTRINSIC const auto& first() const { return std::get<0>(args); }
+
+    template <size_t idx>
+    KFR_MEM_INTRINSIC dimset getmask(csize_t<idx> = {}) const
     {
-        return size_impl(indicesfor_t<Args...>());
+        return dimset(-1);
     }
 
-    constexpr static size_t count = sizeof...(Args);
-    expression_with_arguments()   = delete;
-    constexpr expression_with_arguments(Args&&... args) CMT_NOEXCEPT : args(std::forward<Args>(args)...) {}
+    template <typename Fn>
+    KFR_MEM_INTRINSIC constexpr auto fold(Fn&& fn) const
+    {
+        return fold_impl(std::forward<Fn>(fn), csizeseq<count>);
+    }
+    template <typename Fn>
+    KFR_INTRINSIC constexpr static auto fold_idx(Fn&& fn)
+    {
+        return fold_idx_impl(std::forward<Fn>(fn), csizeseq<count>);
+    }
 
-    KFR_MEM_INTRINSIC void begin_block(cinput_t cinput, size_t size) const
+    KFR_MEM_INTRINSIC expression_with_arguments(Arg&& arg) : args{ std::forward<Arg>(arg) } {}
+
+private:
+    template <typename Fn, size_t... indices>
+    KFR_MEM_INTRINSIC constexpr auto fold_impl(Fn&& fn, csizes_t<indices...>) const
     {
-        begin_block_impl(cinput, size, indicesfor_t<Args...>());
+        return fn(std::get<indices>(args)...);
     }
-    KFR_MEM_INTRINSIC void end_block(cinput_t cinput, size_t size) const
+    template <typename Fn, size_t... indices>
+    KFR_INTRINSIC constexpr static auto fold_idx_impl(Fn&& fn, csizes_t<indices...>)
     {
-        end_block_impl(cinput, size, indicesfor_t<Args...>());
+        return fn(csize<indices>...);
     }
+};
 
-    std::tuple<Args...> args;
+template <typename... Args>
+expression_with_arguments(Args&&... args) -> expression_with_arguments<Args...>;
+
+template <typename Arg>
+struct expression_with_traits : expression_with_arguments<Arg>
+{
+    constexpr static inline bool explicit_operand = true;
+    constexpr static inline bool random_access    = true;
 
-protected:
-    template <size_t... indices>
-    KFR_MEM_INTRINSIC constexpr size_t size_impl(csizes_t<indices...>) const CMT_NOEXCEPT
+    using first_arg_traits       = expression_traits<Arg>;
+    using value_type             = typename first_arg_traits::value_type;
+    constexpr static size_t dims = first_arg_traits::dims;
+    constexpr static shape<dims> get_shape(const expression_with_traits& self)
     {
-        return size_min(std::get<indices>(this->args).size()...);
+        return first_arg_traits::get_shape(self.first());
     }
+    constexpr static shape<dims> get_shape() { return first_arg_traits::get_shape(); }
+
+    using expression_with_arguments<Arg>::expression_with_arguments;
+};
+
+template <typename Fn, typename... Args>
+struct expression_function : expression_with_arguments<Args...>, expression_traits_defaults
+{
+    using value_type =
+        typename std::invoke_result_t<Fn,
+                                      vec<typename expression_traits<Args>::value_type, 1>...>::value_type;
+    constexpr static size_t dims = const_max(expression_traits<Args>::dims...);
 
-    template <typename Fn, typename T, size_t N>
-    KFR_MEM_INTRINSIC vec<T, N> call(cinput_t cinput, Fn&& fn, size_t index, vec_shape<T, N> x) const
+#if defined CMT_COMPILER_IS_MSVC || defined CMT_COMPILER_GCC
+    struct lambda_get_shape
+    {
+        template <size_t... idx>
+        constexpr auto operator()(csize_t<idx>...) const
+        {
+            return internal_generic::common_shape(
+                expression_traits<typename expression_function::template nth<idx>>::get_shape()...);
+        }
+    };
+    struct lambda_get_shape_self
+    {
+        const expression_function& self;
+        template <typename... TArgs>
+        constexpr auto operator()(const TArgs&... args) const
+        {
+            return internal_generic::common_shape<true>(expression_traits<Args>::get_shape(args)...);
+        }
+    };
+    constexpr static shape<dims> get_shape(const expression_function& self)
     {
-        return call_impl(cinput, std::forward<Fn>(fn), indicesfor_t<Args...>(), index, x);
+        return self.fold(lambda_get_shape_self{ self });
     }
-    template <size_t ArgIndex, typename U, size_t N,
-              typename T = value_type_of<typename details::get_nth_type<ArgIndex, Args...>::type>>
-    KFR_MEM_INTRINSIC vec<U, N> argument(cinput_t cinput, csize_t<ArgIndex>, size_t index,
-                                         vec_shape<U, N>) const
-    {
-        static_assert(ArgIndex < count, "Incorrect ArgIndex");
-        return static_cast<vec<U, N>>(
-            get_elements(std::get<ArgIndex>(this->args), cinput, index, vec_shape<T, N>()));
+    constexpr static shape<dims> get_shape() { return expression_function::fold_idx(lambda_get_shape{}); }
+#else
+    constexpr static shape<dims> get_shape(const expression_function& self)
+    {
+        return self.fold([&](auto&&... args) CMT_INLINE_LAMBDA constexpr->auto {
+            return internal_generic::common_shape<true>(
+                expression_traits<decltype(args)>::get_shape(args)...);
+        });
     }
-    template <typename U, size_t N,
-              typename T = value_type_of<typename details::get_nth_type<0, Args...>::type>>
-    KFR_MEM_INTRINSIC vec<U, N> argument_first(cinput_t cinput, size_t index, vec_shape<U, N>) const
+    constexpr static shape<dims> get_shape()
     {
-        return static_cast<vec<U, N>>(
-            get_elements(std::get<0>(this->args), cinput, index, vec_shape<T, N>()));
+        return expression_function::fold_idx([&](auto... args) CMT_INLINE_LAMBDA constexpr->auto {
+            return internal_generic::common_shape(
+                expression_traits<
+                    typename expression_function::template nth<val_of(decltype(args)())>>::get_shape()...);
+        });
     }
+#endif
 
-private:
-    template <typename Fn, typename T, size_t N, size_t... indices>
-    KFR_MEM_INTRINSIC vec<T, N> call_impl(cinput_t cinput, Fn&& fn, csizes_t<indices...>, size_t index,
-                                          vec_shape<T, N>) const
+    constexpr static inline bool random_access = (expression_traits<Args>::random_access && ...);
+
+    Fn fn;
+
+    KFR_MEM_INTRINSIC expression_function(expression_with_arguments<Args...> args, Fn&& fn)
+        : expression_with_arguments<Args...>{ std::move(args) }, fn(std::forward<Fn>(fn))
     {
-        return fn(get_elements(std::get<indices>(this->args), cinput, index,
-                               vec_shape<value_type_of<Args>, N>())...);
     }
-    template <size_t... indices>
-    KFR_MEM_INTRINSIC void begin_block_impl(cinput_t cinput, size_t size, csizes_t<indices...>) const
+    KFR_MEM_INTRINSIC expression_function(Fn&& fn, Args&&... args)
+        : expression_with_arguments<Args...>{ std::forward<Args>(args)... }, fn(std::forward<Fn>(fn))
     {
-        swallow{ (std::get<indices>(args).begin_block(cinput, size), 0)... };
     }
-    template <size_t... indices>
-    KFR_MEM_INTRINSIC void end_block_impl(cinput_t cinput, size_t size, csizes_t<indices...>) const
+    KFR_MEM_INTRINSIC expression_function(Args&&... args)
+        : expression_with_arguments<Args...>{ std::forward<Args>(args)... }, fn{}
     {
-        swallow{ (std::get<indices>(args).end_block(cinput, size), 0)... };
     }
-};
 
-template <typename T>
-struct expression_scalar : input_expression
-{
-    using value_type    = T;
-    expression_scalar() = delete;
-    constexpr expression_scalar(const T& val) CMT_NOEXCEPT : val(val) {}
-    T val;
-
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_scalar& self, cinput_t, size_t,
-                                                vec_shape<T, N>)
+    template <typename In, enable_if_input_expression<In>* = nullptr>
+    expression_function& operator=(In&& in)
     {
-        return broadcast<N>(self.val);
+        static_assert(is_output_expression<expression_function>);
+        process(*this, std::forward<In>(in));
+        return *this;
     }
 };
 
-template <typename T1, typename T2, typename = void>
-struct arg_impl
+template <typename... Args, typename Fn>
+expression_function(const expression_with_arguments<Args...>& args, Fn&& fn)
+    -> expression_function<Fn, Args...>;
+template <typename... Args, typename Fn>
+expression_function(expression_with_arguments<Args...>&& args, Fn&& fn) -> expression_function<Fn, Args...>;
+template <typename... Args, typename Fn>
+expression_function(expression_with_arguments<Args...>& args, Fn&& fn) -> expression_function<Fn, Args...>;
+
+namespace internal
 {
-    using type       = T2;
-    using value_type = typename T1::value_type;
-};
 
-template <typename T1, typename T2>
-struct arg_impl<T1, T2, void_t<enable_if<is_vec_element<T1>>>>
+template <typename... Args, index_t Dims, size_t... idx>
+KFR_INTRINSIC void begin_pass_args(const expression_with_arguments<Args...>& self, shape<Dims> start,
+                                   shape<Dims> stop, csizes_t<idx...>)
 {
-    using type       = expression_scalar<T1>;
-    using value_type = T1;
-};
+    (begin_pass(std::get<idx>(self.args), start, stop), ...);
+}
 
-template <typename T>
-using arg = typename internal::arg_impl<decay<T>, T>::type;
+template <typename... Args, index_t Dims, size_t... idx>
+KFR_INTRINSIC void end_pass_args(const expression_with_arguments<Args...>& self, shape<Dims> start,
+                                 shape<Dims> stop, csizes_t<idx...>)
+{
+    (end_pass(std::get<idx>(self.args), start, stop), ...);
+}
 
-template <typename T>
-using arg_type = typename internal::arg_impl<decay<T>, T>::value_type;
+template <index_t outdims, typename Fn, typename... Args, index_t VecAxis, size_t N, index_t Dims, size_t idx,
+          typename Traits = expression_traits<typename expression_function<Fn, Args...>::template nth<idx>>>
+KFR_MEM_INTRINSIC vec<typename Traits::value_type, N> get_arg(const expression_function<Fn, Args...>& self,
+                                                              const shape<Dims>& index,
+                                                              const axis_params<VecAxis, N>& sh, csize_t<idx>)
+{
+    if constexpr (Traits::dims == 0)
+    {
+        return repeat<N>(get_elements(std::get<idx>(self.args), {}, axis_params<0, 1>{}));
+    }
+    else
+    {
+        constexpr size_t NewVecAxis = Traits::dims - (Dims - VecAxis);
+        auto indices                = internal_generic::adapt<Traits::dims>(index, self.getmask(csize<idx>));
+        constexpr index_t last_dim  = Traits::get_shape().back();
+        if constexpr (last_dim != undefined_size)
+        {
+            constexpr index_t last_dim_pot = prev_poweroftwo(last_dim);
+            return repeat<N / std::min(last_dim_pot, static_cast<index_t>(N))>(
+                get_elements(std::get<idx>(self.args), indices,
+                             axis_params<NewVecAxis, std::min(last_dim_pot, static_cast<index_t>(N))>{}));
+        }
+        else
+        {
+            if constexpr (sizeof...(Args) > 1 && N > 1)
+            {
+                if (CMT_UNLIKELY(self.masks[idx].back() == 0))
+                    return get_elements(std::get<idx>(self.args), indices, axis_params<NewVecAxis, 1>{})
+                        .front();
+                else
+                    return get_elements(std::get<idx>(self.args), indices, axis_params<NewVecAxis, N>{});
+            }
+            else
+            {
+                return get_elements(std::get<idx>(self.args), indices, axis_params<NewVecAxis, N>{});
+            }
+        }
+    }
+}
+} // namespace internal
 
-template <typename Fn, typename... Args>
-struct function_value_type
+template <typename... Args, index_t Dims>
+KFR_INTRINSIC void begin_pass(const expression_with_arguments<Args...>& self, shape<Dims> start,
+                              shape<Dims> stop)
 {
-    using type = typename invoke_result<Fn, vec<arg_type<Args>, 1>...>::value_type;
-};
+    internal::begin_pass_args(self, start, stop, indicesfor<Args...>);
+}
 
-template <typename Fn, typename... Args>
-struct expression_function : expression_with_arguments<arg<Args>...>
+template <typename... Args, index_t Dims>
+KFR_INTRINSIC void end_pass(const expression_with_arguments<Args...>& self, shape<Dims> start,
+                            shape<Dims> stop)
 {
-    using value_type = typename function_value_type<Fn, Args...>::type;
-    // subtype<decltype(std::declval<Fn>()(std::declval<vec<value_type_of<arg<Args>>, 1>>()...))>;
-    using T = value_type;
+    internal::end_pass_args(self, start, stop, indicesfor<Args...>);
+}
 
-    expression_function(Fn&& fn, arg<Args>&&... args) CMT_NOEXCEPT
-        : expression_with_arguments<arg<Args>...>(std::forward<arg<Args>>(args)...),
-          fn(std::forward<Fn>(fn))
-    {
-    }
-    expression_function(const Fn& fn, arg<Args>&&... args) CMT_NOEXCEPT
-        : expression_with_arguments<arg<Args>...>(std::forward<arg<Args>>(args)...),
-          fn(fn)
+template <typename Fn, typename... Args, index_t Axis, size_t N, index_t Dims,
+          typename Tr = expression_traits<expression_function<Fn, Args...>>,
+          typename T  = typename Tr::value_type>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_function<Fn, Args...>& self, const shape<Dims>& index,
+                                     const axis_params<Axis, N>& sh)
+{
+    return self.fold_idx(
+        [&](auto... idx) CMT_INLINE_LAMBDA -> vec<T, N> {
+            return self.fn(internal::get_arg<Tr::dims>(self, index, sh, idx)...);
+        });
+}
+
+template <typename Out, typename In, index_t OutAxis, size_t w, size_t gw, typename Tin, index_t outdims,
+          index_t indims>
+KFR_INTRINSIC static void tprocess_body(Out&& out, In&& in, size_t start, size_t stop, size_t insize,
+                                        shape<outdims> outidx, shape<indims> inidx)
+{
+    if constexpr (indims == 0)
     {
+        size_t x              = start;
+        const vec<Tin, 1> val = get_elements(in, inidx, axis_params_v<0, 1>);
+        if constexpr (w > gw)
+        {
+            CMT_LOOP_NOUNROLL
+            for (; x < stop / w * w; x += w)
+            {
+                outidx[OutAxis] = x;
+                set_elements(out, outidx, axis_params_v<OutAxis, w>, repeat<w>(val));
+            }
+        }
+        CMT_LOOP_NOUNROLL
+        for (; x < stop / gw * gw; x += gw)
+        {
+            outidx[OutAxis] = x;
+            set_elements(out, outidx, axis_params_v<OutAxis, gw>, repeat<gw>(val));
+        }
     }
-    template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_function& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> x)
+    else
     {
-        return self.call(cinput, self.fn, index, x);
+        constexpr index_t InAxis = OutAxis + indims - outdims;
+        size_t x                 = start;
+        if constexpr (w > gw)
+        {
+            CMT_LOOP_NOUNROLL
+            for (; x < stop / w * w; x += w)
+            {
+                outidx[OutAxis] = x;
+                inidx[InAxis]   = std::min(x, insize - 1);
+                auto v          = get_elements(in, inidx, axis_params_v<InAxis, w>);
+                // println("## i=", x, "\n", v);
+                set_elements(out, outidx, axis_params_v<OutAxis, w>, v);
+            }
+        }
+        CMT_LOOP_NOUNROLL
+        for (; x < stop / gw * gw; x += gw)
+        {
+            outidx[OutAxis] = x;
+            inidx[InAxis]   = std::min(x, insize - 1);
+            set_elements(out, outidx, axis_params_v<OutAxis, gw>,
+                         get_elements(in, inidx, axis_params_v<InAxis, gw>));
+        }
     }
+}
 
-    const Fn& get_fn() const CMT_NOEXCEPT { return fn; }
+template <size_t width = 0, index_t Axis = 0, typename Out, typename In, size_t gw = 1,
+          CMT_ENABLE_IF(expression_traits<Out>::dims == 0)>
+static auto process(Out&& out, In&& in, shape<0> = {}, shape<0> = {}, csize_t<gw> = {}) -> shape<0>
+{
+    static_assert(is_input_expression<In>, "In must be an input expression");
+    static_assert(is_output_expression<Out>, "Out must be an output expression");
+    static_assert(expression_traits<In>::dims == 0);
+    begin_pass(out, shape{}, shape{});
+    begin_pass(in, shape{}, shape{});
+    set_elements(out, shape<0>{}, axis_params_v<0, 1>, get_elements(in, shape<0>{}, axis_params_v<0, 1>));
+    end_pass(in, shape{}, shape{});
+    end_pass(out, shape{}, shape{});
+    return {};
+}
 
-protected:
-    Fn fn;
-};
-} // namespace internal
+namespace internal
+{
 
-template <typename A>
-CMT_INTRINSIC internal::arg<A> e(A&& a)
+constexpr KFR_INTRINSIC size_t select_process_width(size_t width, size_t vec_width, index_t last_dim_size)
 {
-    return internal::arg<A>(std::forward<A>(a));
+    if (width != 0)
+        return width;
+    if (last_dim_size == 0)
+        return vec_width;
+
+    return std::min(vec_width, static_cast<size_t>(last_dim_size));
 }
 
-template <typename T>
-CMT_INTRINSIC internal::expression_scalar<T> scalar(const T& val)
+constexpr KFR_INTRINSIC index_t select_axis(index_t ndims, index_t axis)
 {
-    return internal::expression_scalar<T>(val);
+    if (axis >= ndims)
+        return ndims - 1;
+    return axis;
 }
 
-template <typename Fn, typename... Args>
-CMT_INTRINSIC internal::expression_function<decay<Fn>, Args...> bind_expression(Fn&& fn, Args&&... args)
+template <index_t VecAxis, index_t LoopAxis, index_t outdims>
+KFR_INTRINSIC index_t axis_start(const shape<outdims>& sh)
 {
-    return internal::expression_function<decay<Fn>, Args...>(std::forward<Fn>(fn),
-                                                             std::forward<Args>(args)...);
+    static_assert(VecAxis < outdims);
+    static_assert(LoopAxis < outdims);
+    if constexpr (VecAxis == LoopAxis)
+        return 0;
+    else
+        return sh[LoopAxis];
 }
-/**
- * @brief Construct a new expression using the same function as in @c e and new arguments
- * @param e an expression
- * @param args new arguments for the function
- */
-template <typename Fn, typename... OldArgs, typename... NewArgs>
-CMT_INTRINSIC internal::expression_function<Fn, NewArgs...> rebind(
-    const internal::expression_function<Fn, OldArgs...>& e, NewArgs&&... args)
-{
-    return internal::expression_function<Fn, NewArgs...>(e.get_fn(), std::forward<NewArgs>(args)...);
+template <index_t VecAxis, index_t LoopAxis, index_t outdims>
+KFR_INTRINSIC index_t axis_stop(const shape<outdims>& sh)
+{
+    static_assert(VecAxis < outdims);
+    static_assert(LoopAxis < outdims);
+    if constexpr (VecAxis == LoopAxis)
+        return 1;
+    else
+        return sh[LoopAxis];
 }
 
-template <size_t width = 0, typename OutputExpr, typename InputExpr, size_t groupsize = 1,
-          typename Tvec = vec<value_type_of<InputExpr>, 1>>
-static size_t process(OutputExpr&& out, const InputExpr& in, size_t start = 0,
-                                    size_t size = infinite_size, coutput_t coutput = nullptr,
-                                    cinput_t cinput = nullptr, csize_t<groupsize> = csize_t<groupsize>())
+} // namespace internal
+
+template <size_t width = 0, index_t Axis = infinite_size, typename Out, typename In, size_t gw = 1,
+          index_t outdims = expression_dims<Out>, CMT_ENABLE_IF(expression_dims<Out> > 0)>
+static auto process(Out&& out, In&& in, shape<outdims> start = shape<outdims>(0),
+                    shape<outdims> size = shape<outdims>(infinite_size), csize_t<gw> = {}) -> shape<outdims>
 {
-    using Tin = value_type_of<InputExpr>;
-    static_assert(is_output_expression<OutputExpr>, "OutFn must be an expression");
-    static_assert(is_input_expression<InputExpr>, "Fn must be an expression");
+    static_assert(is_input_expression<In>, "In must be an input expression");
+    static_assert(is_output_expression<Out>, "Out must be an output expression");
+
+    using Trin  = expression_traits<In>;
+    using Trout = expression_traits<Out>;
+    using Tin   = typename Trin::value_type;
+
+    using internal::axis_start;
+    using internal::axis_stop;
 
-    size = size_sub(size_min(out.size(), in.size(), size_add(size, start)), start);
-    if (size == 0 || size == infinite_size)
-        return size;
-    out.begin_block(coutput, size);
-    in.begin_block(cinput, size);
+    constexpr index_t indims = expression_dims<In>;
+    static_assert(outdims >= indims);
+
+    constexpr index_t last_dim_size = prev_poweroftwo(Trout::get_shape().back());
 
 #ifdef NDEBUG
-    constexpr size_t w = width == 0 ? maximum_vector_size<Tin> : width;
+    constexpr size_t vec_width = maximum_vector_size<Tin>;
 #else
-    constexpr size_t w = width == 0 ? vector_width<Tin> : width;
+    constexpr size_t vec_width = vector_width<Tin>;
 #endif
 
-    static_assert(w > 0 && is_poweroftwo(w), "");
+    constexpr size_t w = internal::select_process_width(width, vec_width, last_dim_size);
 
-    size_t i = start;
+    constexpr index_t out_axis = internal::select_axis(outdims, Axis);
+    constexpr index_t in_axis  = out_axis + indims - outdims;
 
-    CMT_LOOP_NOUNROLL
-    for (; i < start + size / w * w; i += w)
-        out(coutput, i, get_elements(in, cinput, i, vec_shape<Tin, w>()));
-    CMT_LOOP_NOUNROLL
-    for (; i < start + size / groupsize * groupsize; i += groupsize)
-        out(coutput, i, get_elements(in, cinput, i, vec_shape<Tin, groupsize>()));
+    const shape<outdims> outshape = Trout::get_shape(out);
+    const shape<indims> inshape   = Trin::get_shape(in);
+    if (CMT_UNLIKELY(!internal_generic::can_assign_from(outshape, inshape)))
+        return shape<outdims>{ 0 };
+    shape<outdims> stop = min(min(add_shape(start, size), outshape), inshape.template extend<outdims>());
+
+    index_t in_size = 0;
+    if constexpr (indims > 0)
+        in_size = inshape[in_axis];
 
-    in.end_block(cinput, size);
-    out.end_block(coutput, size);
-    return size;
+    begin_pass(out, start, stop);
+    begin_pass(in, inshape.adapt(start), inshape.adapt(stop));
+
+    shape<outdims> outidx;
+    if constexpr (outdims == 1)
+    {
+        outidx = shape<outdims>{ 0 };
+        tprocess_body<Out, In, out_axis, w, gw, Tin, outdims, indims>(
+            std::forward<Out>(out), std::forward<In>(in), start[out_axis], stop[out_axis], in_size, outidx,
+            inshape.adapt(outidx));
+    }
+    else if constexpr (outdims == 2)
+    {
+        for (index_t i0 = axis_start<out_axis, 0>(start); i0 < axis_stop<out_axis, 0>(stop); ++i0)
+        {
+            for (index_t i1 = axis_start<out_axis, 1>(start); i1 < axis_stop<out_axis, 1>(stop); ++i1)
+            {
+                outidx = shape<outdims>{ i0, i1 };
+                tprocess_body<Out, In, out_axis, w, gw, Tin, outdims, indims>(
+                    std::forward<Out>(out), std::forward<In>(in), start[out_axis], stop[out_axis], in_size,
+                    outidx, inshape.adapt(outidx));
+            }
+        }
+    }
+    else if constexpr (outdims == 3)
+    {
+        for (index_t i0 = axis_start<out_axis, 0>(start); i0 < axis_stop<out_axis, 0>(stop); ++i0)
+        {
+            for (index_t i1 = axis_start<out_axis, 1>(start); i1 < axis_stop<out_axis, 1>(stop); ++i1)
+            {
+                for (index_t i2 = axis_start<out_axis, 2>(start); i2 < axis_stop<out_axis, 2>(stop); ++i2)
+                {
+                    outidx = shape<outdims>{ i0, i1, i2 };
+                    tprocess_body<Out, In, out_axis, w, gw, Tin, outdims, indims>(
+                        std::forward<Out>(out), std::forward<In>(in), start[out_axis], stop[out_axis],
+                        in_size, outidx, inshape.adapt(outidx));
+                }
+            }
+        }
+    }
+    else if constexpr (outdims == 4)
+    {
+        for (index_t i0 = axis_start<out_axis, 0>(start); i0 < axis_stop<out_axis, 0>(stop); ++i0)
+        {
+            for (index_t i1 = axis_start<out_axis, 1>(start); i1 < axis_stop<out_axis, 1>(stop); ++i1)
+            {
+                for (index_t i2 = axis_start<out_axis, 2>(start); i2 < axis_stop<out_axis, 2>(stop); ++i2)
+                {
+                    for (index_t i3 = axis_start<out_axis, 3>(start); i3 < axis_stop<out_axis, 3>(stop); ++i3)
+                    {
+                        outidx = shape<outdims>{ i0, i1, i2, i3 };
+                        tprocess_body<Out, In, out_axis, w, gw, Tin, outdims, indims>(
+                            std::forward<Out>(out), std::forward<In>(in), start[out_axis], stop[out_axis],
+                            in_size, outidx, inshape.adapt(outidx));
+                    }
+                }
+            }
+        }
+    }
+    else
+    {
+        shape<outdims> outidx = start;
+        if (CMT_UNLIKELY(!internal_generic::compare_indices(outidx, stop)))
+            return stop;
+        do
+        {
+            tprocess_body<Out, In, out_axis, w, gw, Tin, outdims, indims>(
+                std::forward<Out>(out), std::forward<In>(in), start[out_axis], stop[out_axis], in_size,
+                outidx, inshape.adapt(outidx));
+            outidx[out_axis] = stop[out_axis] - 1;
+        } while (internal_generic::increment_indices(outidx, start, stop));
+    }
+    end_pass(in, inshape.adapt(start), inshape.adapt(stop));
+    end_pass(out, start, stop);
+    return stop;
 }
 
-template <typename T>
-struct input_expression_base : input_expression
-{
-    virtual ~input_expression_base() {}
-    virtual T input(size_t index) const = 0;
-    template <typename U, size_t N>
-    friend KFR_INTRINSIC vec<U, N> get_elements(const input_expression_base& self, cinput_t, size_t index,
-                                                vec_shape<U, N>)
-    {
-        vec<U, N> out;
-        for (size_t i = 0; i < N; i++)
-            out[i] = static_cast<U>(self.input(index + i));
-        return out;
+template <typename Tin, index_t Dims>
+struct expression_discard : public expression_traits_defaults
+{
+    using value_type             = Tin;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_discard&) { return shape<dims>(infinite_size); }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
+
+    template <size_t N, index_t VecAxis>
+    friend KFR_INTRINSIC void set_elements(const expression_discard& self, shape<Dims>,
+                                           axis_params<VecAxis, N>, const identity<vec<Tin, N>>& x)
+    {
     }
 };
 
-template <typename T>
-struct output_expression_base : output_expression
+/// @brief Read the expression @c expr through the whole range.
+/// @param expr the input expression
+/// @return the input expression is returned
+template <size_t width = 0, index_t Axis = infinite_size, typename E, typename Traits = expression_traits<E>>
+KFR_FUNCTION const E& sink(E&& expr)
 {
-    virtual ~output_expression_base() {}
-    virtual void output(size_t index, const T& value) = 0;
+    static_assert(!Traits::get_shape().has_infinity());
+    process<width, Axis>(expression_discard<expression_value_type<E>, expression_dims<E>>{}, expr);
+    return expr;
+}
 
-    template <typename U, size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t, size_t index, const vec<U, N>& value)
+template <typename Fn, typename... Args>
+KFR_FUNCTION expression_function<std::decay_t<Fn>, Args...> bind_expression(Fn&& fn, Args&&... args)
+{
+    return expression_function<std::decay_t<Fn>, Args...>(std::forward<Fn>(fn), std::forward<Args>(args)...);
+}
+/**
+ * @brief Construct a new expression using the same function as in @c e and new arguments
+ * @param e an expression
+ * @param args new arguments for the function
+ */
+template <typename Fn, typename... OldArgs, typename... NewArgs>
+KFR_FUNCTION expression_function<Fn, NewArgs...> rebind(const expression_function<Fn, OldArgs...>& e,
+                                                        NewArgs&&... args)
+{
+    return expression_function<Fn, NewArgs...>(Fn{ e.fn }, std::forward<NewArgs>(args)...);
+}
+template <typename Fn, typename... OldArgs, typename... NewArgs>
+KFR_FUNCTION expression_function<Fn, NewArgs...> rebind(expression_function<Fn, OldArgs...>&& e,
+                                                        NewArgs&&... args)
+{
+    return expression_function<Fn, NewArgs...>(std::move(e.fn), std::forward<NewArgs>(args)...);
+}
+
+#ifdef KFR_TESTING
+namespace internal
+{
+template <typename T, size_t N, typename Fn>
+inline vec<T, N> get_fn_value(size_t index, Fn&& fn)
+{
+    return apply(fn, enumerate<size_t, N>() + index);
+}
+} // namespace internal
+
+template <typename E, typename Fn, KFR_ENABLE_IF(std::is_invocable_v<Fn, size_t>)>
+void test_expression(const E& expr, size_t size, Fn&& fn, const char* expression = nullptr,
+                     const char* file = nullptr, int line = 0)
+{
+    static_assert(expression_dims<E> == 1, "CHECK_EXPRESSION supports only 1-dim expressions");
+    using T                  = expression_value_type<E>;
+    size_t expr_size         = get_shape(expr).front();
+    ::testo::test_case* test = ::testo::active_test();
+    auto&& c                 = ::testo::make_comparison();
+    test->check(c <= expr_size == size, expression, file, line);
+    if (expr_size != size)
+        return;
+    size                     = min(shape<1>(size), shape<1>(200)).front();
+    constexpr size_t maxsize = 2 + ilog2(vector_width<T> * 2);
+    size_t g                 = 1;
+    for (size_t i = 0; i < size;)
     {
-        for (size_t i = 0; i < N; i++)
-            output(index + i, static_cast<T>(value[i]));
+        const size_t next_size = std::min(prev_poweroftwo(size - i), g);
+        g *= 2;
+        if (g > (1 << (maxsize - 1)))
+            g = 1;
+
+        cswitch(csize<1> << csizeseq<maxsize>, next_size,
+                [&](auto x)
+                {
+                    constexpr size_t nsize = val_of(decltype(x)());
+                    ::testo::scope s(as_string("i = ", i, " width = ", nsize));
+                    test->check(c <= get_elements(expr, shape<1>(i), axis_params_v<0, nsize>) ==
+                                    internal::get_fn_value<T, nsize>(i, fn),
+                                expression, file, line);
+                });
+        i += next_size;
     }
-};
+}
 
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-CMT_INTRINSIC internal::expression_function<fn::interleave, E1, E2> interleave(E1&& x, E2&& y)
+template <typename E, typename T = expression_value_type<E>>
+void test_expression(const E& expr, std::initializer_list<cometa::identity<T>> list,
+                     const char* expression = nullptr, const char* file = nullptr, int line = 0)
 {
-    return { fn::interleave(), std::forward<E1>(x), std::forward<E2>(y) };
+    test_expression(
+        expr, list.size(), [&](size_t i) { return list.begin()[i]; }, expression, file, line);
 }
+#define TESTO_CHECK_EXPRESSION(expr, ...) ::kfr::test_expression(expr, __VA_ARGS__, #expr, __FILE__, __LINE__)
+
+#ifndef TESTO_NO_SHORT_MACROS
+#define CHECK_EXPRESSION TESTO_CHECK_EXPRESSION
+#endif
+#endif
+
 } // namespace CMT_ARCH_NAME
+
 } // namespace kfr
 
 CMT_PRAGMA_GNU(GCC diagnostic pop)
diff --git a/include/kfr/base/filter.hpp b/include/kfr/base/filter.hpp
@@ -27,7 +27,7 @@
 
 #include "basic_expressions.hpp"
 #include "expression.hpp"
-#include "pointer.hpp"
+#include "handle.hpp"
 #include "univector.hpp"
 
 namespace kfr
@@ -78,12 +78,12 @@ public:
     void apply(T* dest, const T* src, size_t size) { process_buffer(dest, src, size); }
 
     template <univector_tag Tag>
-    void apply(univector<T, Tag>& dest, const expression_pointer<T>& src)
+    void apply(univector<T, Tag>& dest, const expression_handle<T, 1>& src)
     {
         process_expression(dest.data(), src, size_min(dest.size(), src.size()));
     }
 
-    void apply(T* dest, const expression_pointer<T>& src, size_t size)
+    void apply(T* dest, const expression_handle<T, 1>& src, size_t size)
     {
         process_expression(dest, src, size_min(size, src.size()));
     }
@@ -91,55 +91,56 @@ public:
     template <univector_tag Tag, typename Expr, KFR_ENABLE_IF(is_input_expression<Expr>)>
     void apply(univector<T, Tag>& dest, const Expr& src)
     {
-        process_expression(dest.data(), to_pointer(src), size_min(dest.size(), src.size()));
+        static_assert(expression_dims<Expr> == 1);
+        process_expression(dest.data(), to_handle(src), size_min(dest.size(), get_shape(src).front()));
     }
 
     template <typename Expr, KFR_ENABLE_IF(is_input_expression<Expr>)>
     void apply(T* dest, const Expr& src, size_t size)
     {
-        process_expression(dest, to_pointer(src), size_min(size, src.size()));
+        process_expression(dest, to_handle(src), size_min(size, src.size()));
     }
 
 protected:
-    virtual void process_buffer(T* dest, const T* src, size_t size)                         = 0;
-    virtual void process_expression(T* dest, const expression_pointer<T>& src, size_t size) = 0;
+    virtual void process_buffer(T* dest, const T* src, size_t size)                           = 0;
+    virtual void process_expression(T* dest, const expression_handle<T, 1>& src, size_t size) = 0;
 };
 
 template <typename T>
 class expression_filter : public filter<T>
 {
 public:
-    explicit expression_filter(expression_pointer<T>&& filter_expr) : filter_expr(std::move(filter_expr)) {}
+    explicit expression_filter(expression_handle<T, 1> filter_expr) : filter_expr(std::move(filter_expr)) {}
 
 protected:
     void process_buffer(T* dest, const T* src, size_t size) override
     {
-        substitute(filter_expr, to_pointer(make_univector(src, size)));
-        process(make_univector(dest, size), filter_expr, 0, size);
+        substitute(filter_expr, to_handle(make_univector(src, size)));
+        process(make_univector(dest, size), filter_expr, shape<1>(0), shape<1>(size));
     }
-    void process_expression(T* dest, const expression_pointer<T>& src, size_t size) override
+    void process_expression(T* dest, const expression_handle<T, 1>& src, size_t size) override
     {
         substitute(filter_expr, src);
-        process(make_univector(dest, size), filter_expr, 0, size);
+        process(make_univector(dest, size), filter_expr, shape<1>(0), shape<1>(size));
     }
 
-    expression_pointer<T> filter_expr;
+    expression_handle<T, 1> filter_expr;
 };
 
 inline namespace CMT_ARCH_NAME
 {
 
 /// @brief Converts expression with placeholder to filter. Placeholder and filter must have the same type
-template <typename E, typename T = value_type_of<E>>
+template <typename E, typename T = expression_value_type<E>>
 KFR_INTRINSIC expression_filter<T> to_filter(E&& e)
 {
-    return expression_filter<T>(to_pointer(std::move(e)));
+    return expression_filter<T>(to_handle(std::move(e)));
 }
 } // namespace CMT_ARCH_NAME
 
 /// @brief Converts expression with placeholder to filter. Placeholder and filter must have the same type
 template <typename T, typename E>
-KFR_INTRINSIC expression_filter<T> to_filter(expression_pointer<T>&& e)
+KFR_INTRINSIC expression_filter<T> to_filter(expression_handle<T, 1>&& e)
 {
     return expression_filter<T>(std::move(e));
 }
diff --git a/include/kfr/base/fraction.hpp b/include/kfr/base/fraction.hpp
@@ -1,4 +1,4 @@
-/** @addtogroup types
+/** @addtogroup base
  *  @{
  */
 /*
@@ -36,7 +36,7 @@ struct fraction
     fraction(i64 num = 0, i64 den = 1) : numerator(num), denominator(den) { normalize(); }
     void normalize()
     {
-        if (denominator < 0)
+        if (CMT_UNLIKELY(denominator < 0))
         {
             denominator = -denominator;
             numerator   = -numerator;
@@ -149,4 +149,4 @@ struct representation<kfr::fraction>
             return as_string(value.numerator, "/", value.denominator);
     }
 };
-} // namespace cometa
-\ No newline at end of file
+} // namespace cometa
diff --git a/include/kfr/base/function_expressions.hpp b/include/kfr/base/function_expressions.hpp
@@ -1,30 +0,0 @@
-/** @addtogroup expressions
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-namespace kfr
-{
-} // namespace kfr
diff --git a/include/kfr/base/generators.hpp b/include/kfr/base/generators.hpp
@@ -26,107 +26,115 @@
 #pragma once
 
 #include "../math/log_exp.hpp"
-#include "../math/select.hpp"
 #include "../math/sin_cos.hpp"
+#include "../simd/complex.hpp"
 #include "../simd/impl/function.hpp"
+#include "../simd/select.hpp"
 #include "../simd/vec.hpp"
+#include "expression.hpp"
+#include "shape.hpp"
 
 namespace kfr
 {
+
 inline namespace CMT_ARCH_NAME
 {
 
 namespace internal
 {
+template <typename T>
+constexpr size_t generator_width(size_t divisor)
+{
+    return const_max(1, vector_capacity<deep_subtype<T>> / 8 / divisor);
+}
+} // namespace internal
 
-template <typename T, size_t width_, typename Class>
-struct generator : input_expression
+template <typename T, size_t VecWidth, typename Class, typename Twork = T>
+struct generator : public expression_traits_defaults
 {
-    constexpr static size_t width = width_;
-    using value_type              = T;
+    using value_type             = T;
+    constexpr static size_t dims = 1;
+    constexpr static shape<1> get_shape(const Class&) { return infinite_size; }
+    constexpr static shape<1> get_shape() { return infinite_size; }
 
-    constexpr static bool is_incremental = true;
+    constexpr static inline bool random_access = false;
 
-    template <typename U, size_t N>
-    friend KFR_INTRINSIC vec<U, N> get_elements(const generator& self, cinput_t, size_t index,
-                                                vec_shape<U, N> t)
-    {
-        return self.generate(t);
-    }
+    constexpr static size_t width = VecWidth;
 
     void resync(T start) const { ptr_cast<Class>(this)->sync(start); }
 
-protected:
-    void call_next() const { ptr_cast<Class>(this)->next(); }
     template <size_t N>
-    void call_shift(csize_t<N>) const
+    KFR_MEM_INTRINSIC vec<T, N> generate() const
     {
-        ptr_cast<Class>(this)->shift(csize_t<N>());
+        if constexpr (N < width)
+        {
+            const vec<T, N> result           = narrow<N>(call_get_value());
+            const vec<Twork, width> oldvalue = value;
+            call_next();
+            value = slice<N, width>(oldvalue, value);
+            return result;
+        }
+        else if constexpr (N > width)
+        {
+            constexpr size_t Nlow = prev_poweroftwo(N - 1);
+            const vec lo          = generate<Nlow>();
+            const vec hi          = generate<N - Nlow>();
+            return concat(lo, hi);
+        }
+        else // N == width
+        {
+            const vec<T, N> result = call_get_value();
+            call_next();
+            return result;
+        }
     }
+    mutable vec<Twork, width> value;
 
     template <size_t N>
-    void shift(csize_t<N>) const
+    friend KFR_INTRINSIC vec<T, N> get_elements(const generator& self, const shape<1>& index,
+                                                const axis_params<0, N>&)
     {
-        const vec<T, width> oldvalue = value;
-        call_next();
-        value = slice<N, width>(oldvalue, value);
+        return self.template generate<N>();
     }
 
-    template <size_t N, KFR_ENABLE_IF(N == width)>
-    KFR_MEM_INTRINSIC vec<T, N> generate(vec_shape<T, N>) const
-    {
-        const vec<T, N> result = value;
-        call_next();
-        return result;
-    }
+private:
+    KFR_MEM_INTRINSIC void call_next() const { ptr_cast<Class>(this)->next(); }
 
-    template <size_t N, KFR_ENABLE_IF(N < width)>
-    KFR_MEM_INTRINSIC vec<T, N> generate(vec_shape<T, N>) const
-    {
-        const vec<T, N> result = narrow<N>(value);
-        call_shift(csize_t<N>());
-        return result;
-    }
+    KFR_MEM_INTRINSIC vec<T, width> call_get_value() const { return ptr_cast<Class>(this)->get_value(); }
 
-    template <size_t N, KFR_ENABLE_IF(N > width)>
-    KFR_MEM_INTRINSIC vec<T, N> generate(vec_shape<T, N> x) const
+    KFR_MEM_INTRINSIC std::enable_if_t<std::is_same_v<T, Twork>, vec<T, width>> get_value() const
     {
-        const auto lo = generate(low(x));
-        const auto hi = generate(high(x));
-        return concat(lo, hi);
+        return value;
     }
-
-    mutable vec<T, width> value;
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(1, 2)>
-struct generator_linear : generator<T, width, generator_linear<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(1)>
+struct generator_linear : public generator<T, VecWidth, generator_linear<T, VecWidth>>
 {
-    generator_linear(T start, T step) CMT_NOEXCEPT : step(step), vstep(step* width) { this->resync(start); }
+    generator_linear(T start, T step) CMT_NOEXCEPT : vstep{ step * VecWidth } { sync(start); }
 
     KFR_MEM_INTRINSIC void sync(T start) const CMT_NOEXCEPT
     {
-        this->value = start + enumerate<T, width>() * step;
+        this->value = start + enumerate(vec_shape<T, VecWidth>{}, vstep / VecWidth);
     }
 
     KFR_MEM_INTRINSIC void next() const CMT_NOEXCEPT { this->value += vstep; }
 
-protected:
-    T step;
     T vstep;
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(1, 2)>
-struct generator_exp : generator<T, width, generator_exp<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(1)>
+struct generator_exp : public generator<T, VecWidth, generator_exp<T, VecWidth>>
 {
-    generator_exp(T start, T step) CMT_NOEXCEPT : step(step), vstep(exp(make_vector(step* width))[0] - 1)
+    generator_exp(T start, T step) CMT_NOEXCEPT : step{ step },
+                                                  vstep{ exp(make_vector(step * VecWidth)).front() - 1 }
     {
         this->resync(start);
     }
 
     KFR_MEM_INTRINSIC void sync(T start) const CMT_NOEXCEPT
     {
-        this->value = exp(start + enumerate<T, width>() * step);
+        this->value = exp(start + enumerate<T, VecWidth>() * step);
     }
 
     KFR_MEM_INTRINSIC void next() const CMT_NOEXCEPT { this->value += this->value * vstep; }
@@ -136,14 +144,14 @@ protected:
     T vstep;
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(1, 2),
-          std::enable_if_t<std::is_same<complex<deep_subtype<T>>, T>::value, int> = 0>
-struct generator_expj : generator<T, width, generator_expj<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(2)>
+struct generator_expj : public generator<T, VecWidth, generator_expj<T, VecWidth>>
 {
     using ST = deep_subtype<T>;
+    static_assert(std::is_same_v<complex<deep_subtype<T>>, T>, "generator_expj requires complex type");
 
     generator_expj(ST start_, ST step_)
-        : step(step_), alpha(2 * sqr(sin(width * step / 2))), beta(-sin(width * step))
+        : step(step_), alpha(2 * sqr(sin(VecWidth * step / 2))), beta(-sin(VecWidth * step))
     {
         this->resync(T(start_));
     }
@@ -156,26 +164,27 @@ struct generator_expj : generator<T, width, generator_expj<T, width>>
     }
 
 protected:
-    ST const step;
-    ST const alpha;
-    ST const beta;
-    CMT_NOINLINE static vec<T, width> init_cossin(ST w, ST phase)
+    ST step;
+    ST alpha;
+    ST beta;
+    CMT_NOINLINE static vec<T, VecWidth> init_cossin(ST w, ST phase)
     {
-        return ccomp(cossin(dup(phase + enumerate<ST, width>() * w)));
+        return ccomp(cossin(dup(phase + enumerate<ST, VecWidth>() * w)));
     }
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(1, 2)>
-struct generator_exp2 : generator<T, width, generator_exp2<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(1)>
+struct generator_exp2 : public generator<T, VecWidth, generator_exp2<T, VecWidth>>
 {
-    generator_exp2(T start, T step) CMT_NOEXCEPT : step(step), vstep(exp2(make_vector(step* width))[0] - 1)
+    generator_exp2(T start, T step) CMT_NOEXCEPT : step{ step },
+                                                   vstep{ exp2(make_vector(step * VecWidth))[0] - 1 }
     {
         this->resync(start);
     }
 
     KFR_MEM_INTRINSIC void sync(T start) const CMT_NOEXCEPT
     {
-        this->value = exp2(start + enumerate<T, width>() * step);
+        this->value = exp2(start + enumerate(vec_shape<T, VecWidth>{}, step));
     }
 
     KFR_MEM_INTRINSIC void next() const CMT_NOEXCEPT { this->value += this->value * vstep; }
@@ -185,11 +194,12 @@ protected:
     T vstep;
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(1, 2)>
-struct generator_cossin : generator<T, width, generator_cossin<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(1)>
+struct generator_cossin : public generator<T, VecWidth, generator_cossin<T, VecWidth>>
 {
+    static_assert(VecWidth % 2 == 0);
     generator_cossin(T start, T step)
-        : step(step), alpha(2 * sqr(sin(width / 2 * step / 2))), beta(-sin(width / 2 * step))
+        : step(step), alpha(2 * sqr(sin(VecWidth / 2 * step / 2))), beta(-sin(VecWidth / 2 * step))
     {
         this->resync(start);
     }
@@ -204,56 +214,47 @@ protected:
     T step;
     T alpha;
     T beta;
-    CMT_NOINLINE static vec<T, width> init_cossin(T w, T phase)
+    CMT_NOINLINE static vec<T, VecWidth> init_cossin(T w, T phase)
     {
-        return cossin(dup(phase + enumerate<T, width / 2>() * w));
+        return cossin(dup(phase + enumerate(vec_shape<T, VecWidth / 2>{}, w)));
     }
 };
 
-template <typename T, size_t width = vector_width<T>* bitness_const(2, 4)>
-struct generator_sin : generator<T, width, generator_sin<T, width>>
+template <typename T, size_t VecWidth = internal::generator_width<T>(2)>
+struct generator_sin : public generator<T, VecWidth, generator_sin<T, VecWidth>, vec<T, 2>>
 {
     generator_sin(T start, T step)
-        : step(step), alpha(2 * sqr(sin(width * step / 2))), beta(sin(width * step))
+        : step(step), alpha(2 * sqr(sin(VecWidth * step / 2))), beta(sin(VecWidth * step))
     {
         this->resync(start);
     }
     KFR_MEM_INTRINSIC void sync(T start) const CMT_NOEXCEPT
     {
-        const vec<T, width* 2> cs = splitpairs(cossin(dup(start + enumerate<T, width>() * step)));
-        this->cos_value           = low(cs);
-        this->value               = high(cs);
+        const vec<T, 2 * VecWidth> cs = cossin(dup(start + enumerate(vec_shape<T, VecWidth>{}, step)));
+        this->value                   = vec<vec<T, 2>, VecWidth>::from_flatten(cs);
     }
 
     KFR_MEM_INTRINSIC void next() const CMT_NOEXCEPT
     {
-        const vec<T, width> c = this->cos_value;
-        const vec<T, width> s = this->value;
+        const vec<T, 2 * VecWidth> cs = flatten(this->value);
 
-        const vec<T, width> cc = alpha * c + beta * s;
-        const vec<T, width> ss = alpha * s - beta * c;
+        cs = cs - addsub(alpha * cs, beta * swap<2>(cs));
 
-        this->cos_value = c - cc;
-        this->value     = s - ss;
-    }
+        this->value = vec<vec<T, 2>, VecWidth>::from_flatten(cs);
 
-    template <size_t N>
-    void shift(csize_t<N>) const CMT_NOEXCEPT
-    {
-        const vec<T, width> oldvalue    = this->value;
-        const vec<T, width> oldcosvalue = this->cos_value;
-        next();
-        this->value     = slice<N, width>(oldvalue, this->value);
-        this->cos_value = slice<N, width>(oldcosvalue, this->cos_value);
+        // const vec<T, VecWidth> c = even(flatten(this->value));
+        // const vec<T, VecWidth> s = odd(flatten(this->value));
+        // const vec<T, VecWidth> cc = alpha * c + beta * s;
+        // const vec<T, VecWidth> ss = alpha * s - beta * c;
+        // this->cos_value = c - cc;
+        // this->value     = s - ss;
     }
 
 protected:
     T step;
     T alpha;
     T beta;
-    mutable vec<T, width> cos_value;
 };
-} // namespace internal
 
 /**
  * @brief Returns template expression that generates values starting from the start and using the step as the
@@ -263,10 +264,10 @@ protected:
     x_i = start + i \cdot step
    \f]
  */
-template <typename T1, typename T2, typename TF = ftype<common_type<T1, T2>>>
-KFR_FUNCTION internal::generator_linear<TF> gen_linear(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = ftype<std::common_type_t<T1, T2>>>
+KFR_FUNCTION generator_linear<TF> gen_linear(T1 start, T2 step)
 {
-    return internal::generator_linear<TF>(start, step);
+    return generator_linear<TF>(start, step);
 }
 
 /**
@@ -275,10 +276,10 @@ KFR_FUNCTION internal::generator_linear<TF> gen_linear(T1 start, T2 step)
     x_i = e^{ start + i \cdot step }
    \f]
  */
-template <typename T1, typename T2, typename TF = ftype<common_type<T1, T2>>>
-KFR_FUNCTION internal::generator_exp<TF> gen_exp(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = ftype<std::common_type_t<T1, T2>>>
+KFR_FUNCTION generator_exp<TF> gen_exp(T1 start, T2 step)
 {
-    return internal::generator_exp<TF>(start, step);
+    return generator_exp<TF>(start, step);
 }
 
 /**
@@ -287,10 +288,10 @@ KFR_FUNCTION internal::generator_exp<TF> gen_exp(T1 start, T2 step)
     x_i = e^{ j ( start + i \cdot step ) }
    \f]
  */
-template <typename T1, typename T2, typename TF = complex<ftype<common_type<T1, T2>>>>
-KFR_FUNCTION internal::generator_expj<TF> gen_expj(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = complex<ftype<std::common_type_t<T1, T2>>>>
+KFR_FUNCTION generator_expj<TF> gen_expj(T1 start, T2 step)
 {
-    return internal::generator_expj<TF>(start, step);
+    return generator_expj<TF>(start, step);
 }
 
 /**
@@ -299,10 +300,10 @@ KFR_FUNCTION internal::generator_expj<TF> gen_expj(T1 start, T2 step)
     x_i = 2^{ start + i \cdot step }
    \f]
  */
-template <typename T1, typename T2, typename TF = ftype<common_type<T1, T2>>>
-KFR_FUNCTION internal::generator_exp2<TF> gen_exp2(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = ftype<std::common_type_t<T1, T2>>>
+KFR_FUNCTION generator_exp2<TF> gen_exp2(T1 start, T2 step)
 {
-    return internal::generator_exp2<TF>(start, step);
+    return generator_exp2<TF>(start, step);
 }
 
 /**
@@ -315,10 +316,10 @@ KFR_FUNCTION internal::generator_exp2<TF> gen_exp2(T1 start, T2 step)
     \end{cases}
    \f]
  */
-template <typename T1, typename T2, typename TF = ftype<common_type<T1, T2>>>
-KFR_FUNCTION internal::generator_cossin<TF> gen_cossin(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = ftype<std::common_type_t<T1, T2>>>
+KFR_FUNCTION generator_cossin<TF> gen_cossin(T1 start, T2 step)
 {
-    return internal::generator_cossin<TF>(start, step);
+    return generator_cossin<TF>(start, step);
 }
 
 /**
@@ -327,10 +328,10 @@ KFR_FUNCTION internal::generator_cossin<TF> gen_cossin(T1 start, T2 step)
     x_i = \sin( start + i \cdot step )
    \f]
  */
-template <typename T1, typename T2, typename TF = ftype<common_type<T1, T2>>>
-KFR_FUNCTION internal::generator_sin<TF> gen_sin(T1 start, T2 step)
+template <typename T1, typename T2, typename TF = ftype<std::common_type_t<T1, T2>>>
+KFR_FUNCTION generator_sin<TF> gen_sin(T1 start, T2 step)
 {
-    return internal::generator_sin<TF>(start, step);
+    return generator_sin<TF>(start, step);
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/base/handle.hpp b/include/kfr/base/handle.hpp
@@ -0,0 +1,412 @@
+/** @addtogroup base
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../cometa/memory.hpp"
+#include "../simd/vec.hpp"
+#include "basic_expressions.hpp"
+#include <memory>
+
+namespace kfr
+{
+
+template <typename T, index_t Dims>
+struct expression_handle;
+
+template <typename T>
+constexpr size_t maximum_expression_width = vector_width_for<T, cpu_t::highest> * 2;
+
+template <typename T, template <T...> typename Tpl, typename Pack>
+struct expand_cvals;
+
+template <typename T, template <T...> typename Tpl, T... vals>
+struct expand_cvals<T, Tpl, cvals_t<T, vals...>>
+{
+    using type = Tpl<vals...>;
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+namespace internal
+{
+
+template <typename Expression, typename T, index_t Dims, size_t key = 0>
+KFR_INTRINSIC bool invoke_substitute(Expression& expr, expression_handle<T, Dims> new_handle,
+                                     csize_t<key> = {});
+}
+} // namespace CMT_ARCH_NAME
+
+template <typename T, index_t Dims>
+struct expression_vtable
+{
+    constexpr static const size_t Nsizes = 1 + ilog2(maximum_expression_width<T>);
+    constexpr static const size_t Nmax   = 1 << Nsizes;
+
+    using func_get        = void (*)(void*, shape<Dims>, T*);
+    using func_set        = void (*)(void*, shape<Dims>, const T*);
+    using func_shapeof    = void (*)(void*, shape<Dims>&);
+    using func_substitute = bool (*)(void*, expression_handle<T, Dims>);
+    using func_pass       = void (*)(void*, shape<Dims>, shape<Dims>);
+
+    func_shapeof fn_shapeof;
+    func_substitute fn_substitute;
+    func_pass fn_begin_pass;
+    func_pass fn_end_pass;
+    std::array<std::array<func_get, Nsizes>, Dims> fn_get_elements;
+    std::array<std::array<func_set, Nsizes>, Dims> fn_set_elements;
+
+    template <typename Expression>
+    KFR_MEM_INTRINSIC expression_vtable(ctype_t<Expression> t)
+    {
+        fn_shapeof    = &static_shapeof<Expression>;
+        fn_substitute = &static_substitute<Expression>;
+        fn_begin_pass = &static_begin_pass<Expression>;
+        fn_end_pass   = &static_end_pass<Expression>;
+        cforeach(csizeseq<Nsizes>,
+                 [&](auto size_) CMT_INLINE_LAMBDA
+                 {
+                     cforeach(csizeseq<Dims>,
+                              [&](auto axis_) CMT_INLINE_LAMBDA
+                              {
+                                  constexpr size_t size = decltype(size_)::value;
+                                  constexpr size_t axis = decltype(axis_)::value;
+                                  fn_get_elements[axis][size] =
+                                      &static_get_elements<Expression, 1 << size, axis>;
+                                  fn_set_elements[axis][size] =
+                                      &static_set_elements<Expression, 1 << size, axis>;
+                              });
+                 });
+    }
+
+    template <typename Expression, size_t N, index_t VecAxis>
+    static void static_get_elements(void* instance, shape<Dims> index, T* dest)
+    {
+        if constexpr (is_input_expression<Expression>)
+        {
+            write(dest, get_elements(*static_cast<Expression*>(instance), index, axis_params_v<VecAxis, N>));
+        }
+        else
+        {
+        }
+    }
+    template <typename Expression, size_t N, index_t VecAxis>
+    static void static_set_elements(void* instance, shape<Dims> index, const T* src)
+    {
+        if constexpr (is_output_expression<Expression>)
+        {
+            set_elements(*static_cast<Expression*>(instance), index, axis_params_v<VecAxis, N>, read<N>(src));
+        }
+        else
+        {
+        }
+    }
+    template <typename Expression>
+    static void static_shapeof(void* instance, shape<Dims>& result)
+    {
+        result = expression_traits<Expression>::get_shape(*static_cast<Expression*>(instance));
+    }
+    template <typename Expression>
+    static bool static_substitute(void* instance, expression_handle<T, Dims> ptr)
+    {
+        return internal::invoke_substitute(*static_cast<Expression*>(instance), std::move(ptr));
+    }
+    template <typename Expression>
+    static void static_begin_pass(void* instance, shape<Dims> start, shape<Dims> stop)
+    {
+        begin_pass(*static_cast<Expression*>(instance), start, stop);
+    }
+    template <typename Expression>
+    static void static_end_pass(void* instance, shape<Dims> start, shape<Dims> stop)
+    {
+        end_pass(*static_cast<Expression*>(instance), start, stop);
+    }
+};
+
+struct expression_resource
+{
+    virtual ~expression_resource() {}
+    virtual void* instance() { return nullptr; }
+};
+
+template <typename E>
+struct expression_resource_impl : expression_resource
+{
+    expression_resource_impl(E&& e) CMT_NOEXCEPT : e(std::move(e)) {}
+    virtual ~expression_resource_impl() {}
+    KFR_INTRINSIC virtual void* instance() override final { return &e; }
+
+public:
+#ifdef __cpp_aligned_new
+    static void operator delete(void* p, std::align_val_t al) noexcept { details::aligned_release(p); }
+#endif
+
+private:
+    E e;
+};
+
+template <typename E>
+KFR_INTRINSIC std::shared_ptr<expression_resource> make_resource(E&& e)
+{
+    using T = expression_resource_impl<std::decay_t<E>>;
+    return std::static_pointer_cast<expression_resource>(std::shared_ptr<T>(
+        new (aligned_allocate<T>()) T(std::move(e)), [](T* pi) { aligned_deallocate<T>(pi); }));
+}
+
+template <typename T, index_t Dims = 1>
+struct expression_handle
+{
+    void* instance;
+    const expression_vtable<T, Dims>* vtable;
+    std::shared_ptr<expression_resource> resource;
+
+    expression_handle() CMT_NOEXCEPT : instance(nullptr), vtable(nullptr) {}
+    expression_handle(const void* instance, const expression_vtable<T, Dims>* vtable,
+                      std::shared_ptr<expression_resource> resource = nullptr)
+        : instance(const_cast<void*>(instance)), vtable(vtable), resource(std::move(resource))
+    {
+    }
+
+    explicit operator bool() const { return instance != nullptr; }
+
+    bool substitute(expression_handle<T, Dims> new_handle)
+    {
+        return vtable->fn_substitute(instance, std::move(new_handle));
+    }
+};
+
+template <typename T, index_t Dims>
+struct expression_traits<expression_handle<T, Dims>> : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_handle<T, Dims>& self)
+    {
+        shape<dims> result;
+        self.vtable->fn_shapeof(self.instance, result);
+        return result;
+    }
+    constexpr static shape<dims> get_shape() { return shape<dims>(undefined_size); }
+
+    constexpr static inline bool random_access = false;
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, index_t NDims>
+KFR_INTRINSIC void begin_pass(const expression_handle<T, NDims>& self, shape<NDims> start, shape<NDims> stop)
+{
+    self.vtable->fn_begin_pass(self.instance, start, stop);
+}
+template <typename T, index_t NDims>
+KFR_INTRINSIC void end_pass(const expression_handle<T, NDims>& self, shape<NDims> start, shape<NDims> stop)
+{
+    self.vtable->fn_end_pass(self.instance, start, stop);
+}
+
+template <typename T, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_handle<T, NDims>& self, const shape<NDims>& index,
+                                     const axis_params<Axis, N>& sh)
+{
+    static_assert(is_poweroftwo(N) && N >= 1);
+    constexpr size_t Nsize = ilog2(N);
+    if constexpr (Nsize >= expression_vtable<T, NDims>::Nsizes)
+    {
+        constexpr size_t Nhalf = N / 2;
+        auto low               = get_elements(self, index, axis_params_v<Axis, Nhalf>);
+        auto high = get_elements(self, index.add_at(Nhalf, cval<index_t, Axis>), axis_params_v<Axis, Nhalf>);
+        return concat(low, high);
+    }
+    else
+    {
+        portable_vec<T, N> result;
+        self.vtable->fn_get_elements[Axis][Nsize](self.instance, index, result.elem);
+        return result;
+    }
+}
+
+template <typename T, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC void set_elements(const expression_handle<T, NDims>& self, const shape<NDims>& index,
+                                const axis_params<Axis, N>& sh, const identity<vec<T, N>>& value)
+{
+    static_assert(is_poweroftwo(N) && N >= 1);
+    constexpr size_t Nsize = ilog2(N);
+    if constexpr (Nsize >= expression_vtable<T, NDims>::Nsizes)
+    {
+        constexpr size_t Nhalf = N / 2;
+        set_elements(self, index, axis_params_v<Axis, Nhalf>, slice<0, Nhalf>(value));
+        set_elements(self, index.add_at(Nhalf, cval<index_t, Axis>), axis_params_v<Axis, Nhalf>,
+                     slice<Nhalf, Nhalf>(value));
+    }
+    else
+    {
+        self.vtable->fn_set_elements[Axis][Nsize](self.instance, index, &value.front());
+    }
+}
+} // namespace CMT_ARCH_NAME
+
+inline namespace CMT_ARCH_NAME
+{
+
+namespace internal
+{
+
+template <typename T, index_t Dims, typename E>
+KFR_INTRINSIC expression_vtable<T, Dims>* make_expression_vtable()
+{
+    static expression_vtable<T, Dims> vtable{ ctype_t<std::decay_t<E>>{} };
+    return &vtable;
+}
+} // namespace internal
+
+} // namespace CMT_ARCH_NAME
+
+/** @brief Converts the given expression into an opaque object.
+ *  This overload takes reference to the expression.
+ *  @warning Use with caution with local variables.
+ */
+template <typename E, typename T = expression_value_type<E>, index_t Dims = expression_dims<E>>
+KFR_INTRINSIC expression_handle<T, Dims> to_handle(E& expr)
+{
+    return expression_handle<T>(std::addressof(expr), internal::make_expression_vtable<T, Dims, E>());
+}
+
+/** @brief Converts the given expression into an opaque object.
+ *  This overload takes ownership of the expression (Move semantics).
+ *  @note Use std::move to force use of this overload.
+ */
+template <typename E, typename T = expression_value_type<E>, index_t Dims = expression_dims<E>>
+KFR_INTRINSIC expression_handle<T, Dims> to_handle(E&& expr)
+{
+    std::shared_ptr<expression_resource> ptr = make_resource(std::move(expr));
+    void* instance                           = ptr->instance();
+    return expression_handle<T, Dims>(instance, internal::make_expression_vtable<T, Dims, E>(),
+                                      std::move(ptr));
+}
+
+template <typename T, index_t Dims = 1, size_t Key = 0>
+struct expression_placeholder
+{
+public:
+    using value_type                      = T;
+    expression_placeholder() CMT_NOEXCEPT = default;
+    expression_handle<T, Dims> handle;
+};
+
+template <typename T, index_t Dims, size_t Key>
+struct expression_traits<expression_placeholder<T, Dims, Key>> : public expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_placeholder<T, Dims, Key>& self)
+    {
+        return self.handle ? ::kfr::get_shape(self.handle) : shape<dims>(infinite_size);
+    }
+    constexpr static shape<dims> get_shape() { return shape<dims>(undefined_size); }
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, index_t Dims, size_t Key, index_t VecAxis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_placeholder<T, Dims, Key>& self, shape<Dims> index,
+                                     axis_params<VecAxis, N> sh)
+{
+    return self.handle ? get_elements(self.handle, index, sh) : 0;
+}
+} // namespace CMT_ARCH_NAME
+
+template <typename T, index_t Dims = 1, size_t Key = 0>
+KFR_INTRINSIC expression_placeholder<T, Dims, Key> placeholder(csize_t<Key> = csize_t<Key>{})
+{
+    return expression_placeholder<T, Dims, Key>();
+}
+
+template <typename... Args>
+KFR_INTRINSIC bool substitute(const internal_generic::anything&, Args&&...)
+{
+    return false;
+}
+
+inline namespace CMT_ARCH_NAME
+{
+namespace internal
+{
+template <typename... Args, typename T, index_t Dims, size_t Key, size_t... indices>
+KFR_INTRINSIC bool substitute_helper(expression_with_arguments<Args...>& expr,
+                                     expression_handle<T, Dims> new_handle, csize_t<Key>,
+                                     csizes_t<indices...>);
+}
+} // namespace CMT_ARCH_NAME
+
+template <typename T, index_t Dims, size_t Key = 0>
+KFR_INTRINSIC bool substitute(expression_placeholder<T, Dims, Key>& expr,
+                              expression_handle<T, Dims> new_handle, csize_t<Key> = csize_t<Key>{})
+{
+    expr.handle = std::move(new_handle);
+    return true;
+}
+
+template <typename... Args, typename T, index_t Dims, size_t Key = 0>
+KFR_INTRINSIC bool substitute(expression_with_arguments<Args...>& expr, expression_handle<T, Dims> new_handle,
+                              csize_t<Key> = csize_t<Key>{})
+{
+    return internal::substitute_helper(expr, std::move(new_handle), csize_t<Key>{}, indicesfor_t<Args...>{});
+}
+
+template <typename T, index_t Dims, size_t Key = 0>
+KFR_INTRINSIC bool substitute(expression_handle<T, Dims>& expr, expression_handle<T, Dims> new_handle,
+                              csize_t<Key> = csize_t<Key>{})
+{
+    static_assert(Key == 0, "expression_handle supports only Key = 0");
+    return expr.substitute(std::move(new_handle));
+}
+
+inline namespace CMT_ARCH_NAME
+{
+namespace internal
+{
+
+template <typename... Args, typename T, index_t Dims, size_t Key, size_t... indices>
+KFR_INTRINSIC bool substitute_helper(expression_with_arguments<Args...>& expr,
+                                     expression_handle<T, Dims> new_handle, csize_t<Key>,
+                                     csizes_t<indices...>)
+{
+    return (substitute(std::get<indices>(expr.args), std::move(new_handle), csize_t<Key>()) || ...);
+}
+
+template <typename Expression, typename T, index_t Dims, size_t Key>
+KFR_INTRINSIC bool invoke_substitute(Expression& expr, expression_handle<T, Dims> new_handle, csize_t<Key>)
+{
+    return kfr::substitute(expr, std::move(new_handle), csize_t<Key>{});
+}
+
+} // namespace internal
+
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/include/kfr/base/impl/static_array.hpp b/include/kfr/base/impl/static_array.hpp
@@ -0,0 +1,230 @@
+/** @addtogroup expressions
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../../cometa.hpp"
+#include "../../kfr.h"
+
+namespace kfr
+{
+using namespace cometa;
+
+template <typename T, size_t>
+using type_for = T;
+
+template <typename T, typename indices_t>
+struct static_array_base;
+
+template <typename T, size_t Size>
+using static_array_of_size = static_array_base<T, csizeseq_t<Size>>;
+
+template <typename T, size_t... indices>
+struct static_array_base<T, csizes_t<indices...>>
+{
+    using value_type      = T;
+    using size_type       = size_t;
+    using difference_type = ptrdiff_t;
+    using reference       = value_type&;
+    using pointer         = value_type*;
+    using iterator        = pointer;
+    using const_reference = const value_type&;
+    using const_pointer   = const value_type*;
+    using const_iterator  = const_pointer;
+
+    constexpr static size_t static_size = sizeof...(indices);
+
+    constexpr static_array_base() noexcept : array{ (static_cast<void>(indices), 0)... } {}
+    constexpr static_array_base(const static_array_base&) noexcept = default;
+    constexpr static_array_base(static_array_base&&) noexcept      = default;
+
+    KFR_MEM_INTRINSIC constexpr static_array_base(type_for<value_type, indices>... args) noexcept
+        : array{ args... }
+    {
+    }
+
+    template <typename U, typename otherindices_t>
+    friend struct static_array_base;
+
+    template <size_t... idx1, size_t... idx2>
+    KFR_MEM_INTRINSIC constexpr static_array_base(
+        const static_array_base<T, csizes_t<idx1...>>& first,
+        const static_array_base<T, csizes_t<idx2...>>& second) noexcept
+        : array{ (indices >= sizeof...(idx1) ? second.array[indices - sizeof...(idx1)]
+                                             : first.array[indices])... }
+    {
+        static_assert(sizeof...(idx1) + sizeof...(idx2) == static_size);
+    }
+
+    template <size_t... idx>
+    constexpr static_array_base<T, csizeseq_t<sizeof...(idx)>> shuffle(csizes_t<idx...>) const noexcept
+    {
+        return static_array_base<T, csizeseq_t<sizeof...(idx)>>{ array[idx]... };
+    }
+    template <size_t... idx>
+    constexpr static_array_base<T, csizeseq_t<sizeof...(idx)>> shuffle(csizes_t<idx...>,
+                                                                       T filler) const noexcept
+    {
+        return static_array_base<T, csizeseq_t<sizeof...(idx)>>{ (idx >= static_size ? filler
+                                                                                     : array[idx])... };
+    }
+
+    template <size_t start, size_t size>
+    constexpr static_array_base<T, csizeseq_t<size>> slice() const noexcept
+    {
+        return shuffle(csizeseq<size, start>);
+    }
+
+    constexpr static_array_base& operator=(const static_array_base&) = default;
+    constexpr static_array_base& operator=(static_array_base&&) = default;
+
+    template <int dummy = 0, CMT_ENABLE_IF(dummy == 0 && static_size > 1)>
+    KFR_MEM_INTRINSIC constexpr explicit static_array_base(value_type value) noexcept
+        : array{ (static_cast<void>(indices), value)... }
+    {
+    }
+
+    KFR_MEM_INTRINSIC constexpr const value_type* data() const noexcept { return std::data(array); }
+    KFR_MEM_INTRINSIC constexpr value_type* data() noexcept { return std::data(array); }
+
+    KFR_MEM_INTRINSIC constexpr const_iterator begin() const noexcept { return std::begin(array); }
+    KFR_MEM_INTRINSIC constexpr iterator begin() noexcept { return std::begin(array); }
+    KFR_MEM_INTRINSIC constexpr const_iterator cbegin() const noexcept { return std::begin(array); }
+
+    KFR_MEM_INTRINSIC constexpr const_iterator end() const noexcept { return std::end(array); }
+    KFR_MEM_INTRINSIC constexpr iterator end() noexcept { return std::end(array); }
+    KFR_MEM_INTRINSIC constexpr const_iterator cend() const noexcept { return std::end(array); }
+
+    KFR_MEM_INTRINSIC constexpr const_reference operator[](size_t index) const noexcept
+    {
+        return array[index];
+    }
+    KFR_MEM_INTRINSIC constexpr reference operator[](size_t index) noexcept { return array[index]; }
+
+    KFR_MEM_INTRINSIC constexpr const_reference front() const noexcept { return array[0]; }
+    KFR_MEM_INTRINSIC constexpr reference front() noexcept { return array[0]; }
+
+    KFR_MEM_INTRINSIC constexpr const_reference back() const noexcept { return array[static_size - 1]; }
+    KFR_MEM_INTRINSIC constexpr reference back() noexcept { return array[static_size - 1]; }
+
+    KFR_MEM_INTRINSIC constexpr bool empty() const noexcept { return false; }
+
+    KFR_MEM_INTRINSIC constexpr size_t size() const noexcept { return std::size(array); }
+
+    KFR_MEM_INTRINSIC constexpr bool operator==(const static_array_base& other) const noexcept
+    {
+        return ((array[indices] == other.array[indices]) && ...);
+    }
+    KFR_MEM_INTRINSIC constexpr bool operator!=(const static_array_base& other) const noexcept
+    {
+        return !operator==(other);
+    }
+    constexpr T minof() const noexcept
+    {
+        T result = std::numeric_limits<T>::max();
+        (static_cast<void>(result = std::min(result, array[indices])), ...);
+        return result;
+    }
+    constexpr T maxof() const noexcept
+    {
+        T result = std::numeric_limits<T>::lowest();
+        (static_cast<void>(result = std::max(result, array[indices])), ...);
+        return result;
+    }
+    constexpr T sum() const noexcept
+    {
+        T result = 0;
+        (static_cast<void>(result += array[indices]), ...);
+        return result;
+    }
+    constexpr T product() const noexcept
+    {
+        T result = 1;
+        (static_cast<void>(result *= array[indices]), ...);
+        return result;
+    }
+
+    constexpr static_array_base min(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ std::min(array[indices], y.array[indices])... };
+    }
+    constexpr static_array_base max(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ std::max(array[indices], y.array[indices])... };
+    }
+    template <typename Fn>
+    constexpr static_array_base bin(const static_array_base& y, Fn&& fn) const noexcept
+    {
+        return static_array_base{ fn(array[indices], y.array[indices])... };
+    }
+    template <typename Fn>
+    constexpr static_array_base un(Fn&& fn) const noexcept
+    {
+        return static_array_base{ fn(array[indices])... };
+    }
+    template <typename U>
+    constexpr static_array_base<U, csizes_t<indices...>> cast() const noexcept
+    {
+        return static_array_base<U, csizes_t<indices...>>{ static_cast<U>(array[indices])... };
+    }
+
+    constexpr static_array_base operator+(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] + y.array[indices])... };
+    }
+    constexpr static_array_base operator-(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] - y.array[indices])... };
+    }
+    constexpr static_array_base operator*(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] * y.array[indices])... };
+    }
+    constexpr static_array_base operator&(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] & y.array[indices])... };
+    }
+    constexpr static_array_base operator|(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] | y.array[indices])... };
+    }
+    constexpr static_array_base operator^(const static_array_base& y) const noexcept
+    {
+        return static_array_base{ (array[indices] ^ y.array[indices])... };
+    }
+    constexpr static_array_base operator+(const T& y) const noexcept
+    {
+        return static_array_base{ (array[indices] + y)... };
+    }
+    constexpr static_array_base operator-(const T& y) const noexcept
+    {
+        return static_array_base{ (array[indices] - y)... };
+    }
+    constexpr T dot(const static_array_base& y) const noexcept { return (operator*(y)).sum(); }
+
+private:
+    T array[static_size];
+};
+} // namespace kfr
diff --git a/include/kfr/base/math_expressions.hpp b/include/kfr/base/math_expressions.hpp
@@ -0,0 +1,516 @@
+/** @addtogroup base
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../math.hpp"
+#include "basic_expressions.hpp"
+#include "expression.hpp"
+
+namespace kfr
+{
+
+/**
+ * @brief Returns the trigonometric sine of x. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sin, E1> sin(E1&& x)
+{
+    return { fn::sin(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric cosine of x. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cos, E1> cos(E1&& x)
+{
+    return { fn::cos(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns an approximation of the trigonometric sine of x. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::fastsin, E1> fastsin(E1&& x)
+{
+    return { fn::fastsin(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns an approximation of the trigonometric cosine of x. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::fastcos, E1> fastcos(E1&& x)
+{
+    return { fn::fastcos(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric sine of the even elements of the x and
+ * cosine of the odd elements. x must be a vector. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sincos, E1> sincos(E1&& x)
+{
+    return { fn::sincos(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric cosine of the even elements of the x and
+ * sine of the odd elements. x must be a vector. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cossin, E1> cossin(E1&& x)
+{
+    return { fn::cossin(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric sine of the x (expressed in degrees). Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sindeg, E1> sindeg(E1&& x)
+{
+    return { fn::sindeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric cosine of the x (expressed in degrees). Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cosdeg, E1> cosdeg(E1&& x)
+{
+    return { fn::cosdeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns an approximation of the trigonometric sine of the x
+ * (expressed in degrees). Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::fastsindeg, E1> fastsindeg(E1&& x)
+{
+    return { fn::fastsindeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns an approximation of the trigonometric cosine of the x
+ * (expressed in degrees). Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::fastcosdeg, E1> fastcosdeg(E1&& x)
+{
+    return { fn::fastcosdeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric sine of the even elements of the x and
+ * cosine of the odd elements. x must be expressed in degrees. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sincosdeg, E1> sincosdeg(E1&& x)
+{
+    return { fn::sincosdeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the trigonometric cosine of the even elements of the x and
+ * sine of the odd elements. x must be expressed in degrees. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cossindeg, E1> cossindeg(E1&& x)
+{
+    return { fn::cossindeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the sinc function of x. Accepts and returns expressions.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sinc, E1> sinc(E1&& x)
+{
+    return { fn::sinc(), std::forward<E1>(x) };
+}
+
+/// @brief Creates expression that returns the approximate gamma function of an argument
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::gamma, E1> gamma(E1&& x)
+{
+    return { fn::gamma(), std::forward<E1>(x) };
+}
+
+/// @brief Creates expression that returns the approximate factorial of an argument
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::factorial_approx, E1> factorial_approx(E1&& x)
+{
+    return { fn::factorial_approx(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the positive square root of the x. \f$\sqrt{x}\f$
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sqrt, E1> sqrt(E1&& x)
+{
+    return { fn::sqrt(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::tan, E1> tan(E1&& x)
+{
+    return { fn::tan(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::tandeg, E1> tandeg(E1&& x)
+{
+    return { fn::tandeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc sine of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::asin, E1> asin(E1&& x)
+{
+    return { fn::asin(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc cosine of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::acos, E1> acos(E1&& x)
+{
+    return { fn::acos(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the sine of the the complex value x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::csin, E1> csin(E1&& x)
+{
+    return { fn::csin(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic sine of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::csinh, E1> csinh(E1&& x)
+{
+    return { fn::csinh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the cosine of the the complex value x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::ccos, E1> ccos(E1&& x)
+{
+    return { fn::ccos(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic cosine of the the complex value x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::ccosh, E1> ccosh(E1&& x)
+{
+    return { fn::ccosh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the squared absolute value (magnitude squared) of the
+/// complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cabssqr, E1> cabssqr(E1&& x)
+{
+    return { fn::cabssqr(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the absolute value (magnitude) of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cabs, E1> cabs(E1&& x)
+{
+    return { fn::cabs(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the phase angle (argument) of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::carg, E1> carg(E1&& x)
+{
+    return { fn::carg(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the natural logarithm of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::clog, E1> clog(E1&& x)
+{
+    return { fn::clog(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the binary (base-2) logarithm of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::clog2, E1> clog2(E1&& x)
+{
+    return { fn::clog2(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the common (base-10) logarithm of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::clog10, E1> clog10(E1&& x)
+{
+    return { fn::clog10(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns \f$e\f$ raised to the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cexp, E1> cexp(E1&& x)
+{
+    return { fn::cexp(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns 2 raised to the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cexp2, E1> cexp2(E1&& x)
+{
+    return { fn::cexp2(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns 10 raised to the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cexp10, E1> cexp10(E1&& x)
+{
+    return { fn::cexp10(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that converts complex number to polar
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::polar, E1> polar(E1&& x)
+{
+    return { fn::polar(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that converts complex number to cartesian
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cartesian, E1> cartesian(E1&& x)
+{
+    return { fn::cartesian(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns square root of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::csqrt, E1> csqrt(E1&& x)
+{
+    return { fn::csqrt(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns square of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::csqr, E1> csqr(E1&& x)
+{
+    return { fn::csqr(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc tangent of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::atan, E1> atan(E1&& x)
+{
+    return { fn::atan(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc tangent of the x, expressed in degrees.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::atandeg, E1> atandeg(E1&& x)
+{
+    return { fn::atandeg(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc tangent of y/x.
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::atan2, E1, E2> atan2(E1&& x, E2&& y)
+{
+    return { fn::atan2(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns template expression that returns the arc tangent of y/x (expressed in degrees).
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::atan2deg, E1, E2> atan2deg(E1&& x, E2&& y)
+{
+    return { fn::atan2deg(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::modzerobessel, E1> modzerobessel(E1&& x)
+{
+    return { fn::modzerobessel(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic sine of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sinh, E1> sinh(E1&& x)
+{
+    return { fn::sinh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic cosine of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cosh, E1> cosh(E1&& x)
+{
+    return { fn::cosh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic tangent of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::tanh, E1> tanh(E1&& x)
+{
+    return { fn::tanh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic cotangent of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::coth, E1> coth(E1&& x)
+{
+    return { fn::coth(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic sine of the even elements of the x and the
+/// hyperbolic cosine of the odd elements of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::sinhcosh, E1> sinhcosh(E1&& x)
+{
+    return { fn::sinhcosh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the hyperbolic cosine of the even elements of the x and
+/// the hyperbolic sine of the odd elements of the x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::coshsinh, E1> coshsinh(E1&& x)
+{
+    return { fn::coshsinh(), std::forward<E1>(x) };
+}
+
+/// @brief Returns e raised to the given power x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::exp, E1> exp(E1&& x)
+{
+    return { fn::exp(), std::forward<E1>(x) };
+}
+
+/// @brief Returns 2 raised to the given power x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::exp2, E1> exp2(E1&& x)
+{
+    return { fn::exp2(), std::forward<E1>(x) };
+}
+
+/// @brief Returns 10 raised to the given power x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::exp10, E1> exp10(E1&& x)
+{
+    return { fn::exp10(), std::forward<E1>(x) };
+}
+
+/// @brief Returns the natural logarithm of the x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::log, E1> log(E1&& x)
+{
+    return { fn::log(), std::forward<E1>(x) };
+}
+
+/// @brief Returns the binary (base-2) logarithm of the x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::log2, E1> log2(E1&& x)
+{
+    return { fn::log2(), std::forward<E1>(x) };
+}
+
+/// @brief Returns the common (base-10) logarithm of the x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::log10, E1> log10(E1&& x)
+{
+    return { fn::log10(), std::forward<E1>(x) };
+}
+
+/// @brief Returns the rounded binary (base-2) logarithm of the x. Version that accepts and returns
+/// expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::logb, E1> logb(E1&& x)
+{
+    return { fn::logb(), std::forward<E1>(x) };
+}
+
+/// @brief Returns the logarithm of the x with base y. Accepts and returns expressions.
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::logn, E1, E2> logn(E1&& x, E2&& y)
+{
+    return { fn::logn(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Returns log(x) * y. Accepts and returns expressions.
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::logm, E1, E2> logm(E1&& x, E2&& y)
+{
+    return { fn::logm(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Returns exp(x * m + a). Accepts and returns expressions.
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_FUNCTION expression_function<fn::exp_fmadd, E1, E2, E3> exp_fmadd(E1&& x, E2&& y, E3&& z)
+{
+    return { fn::exp_fmadd(), std::forward<E1>(x), std::forward<E2>(y), std::forward<E3>(z) };
+}
+
+/// @brief Returns log(x) * m + a. Accepts and returns expressions.
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_FUNCTION expression_function<fn::log_fmadd, E1, E2, E3> log_fmadd(E1&& x, E2&& y, E3&& z)
+{
+    return { fn::log_fmadd(), std::forward<E1>(x), std::forward<E2>(y), std::forward<E3>(z) };
+}
+
+/// @brief Returns the x raised to the given power y. Accepts and returns expressions.
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::pow, E1, E2> pow(E1&& x, E2&& y)
+{
+    return { fn::pow(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Returns the real nth root of the x. Accepts and returns expressions.
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::root, E1, E2> root(E1&& x, E2&& y)
+{
+    return { fn::root(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Returns the cube root of the x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cbrt, E1> cbrt(E1&& x)
+{
+    return { fn::cbrt(), std::forward<E1>(x) };
+}
+
+} // namespace kfr
diff --git a/include/kfr/base/memory.hpp b/include/kfr/base/memory.hpp
@@ -1,4 +1,4 @@
-/** @addtogroup memory
+/** @addtogroup base
  *  @{
  */
 /*
diff --git a/include/kfr/base/pointer.hpp b/include/kfr/base/pointer.hpp
@@ -1,310 +0,0 @@
-/** @addtogroup expressions
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../simd/vec.hpp"
-#include "basic_expressions.hpp"
-#include <memory>
-
-namespace kfr
-{
-
-template <typename T, bool enable_resource = true>
-struct expression_pointer;
-
-template <typename T>
-constexpr size_t maximum_expression_width = vector_width_for<T, cpu_t::highest> * 2;
-
-inline namespace CMT_ARCH_NAME
-{
-
-namespace internal
-{
-
-template <typename Expression, typename T, size_t key = 0>
-KFR_INTRINSIC bool invoke_substitute(Expression& expr, expression_pointer<T>&& new_pointer,
-                                     csize_t<key> = {});
-}
-} // namespace CMT_ARCH_NAME
-
-template <typename T, size_t N = maximum_expression_width<T>>
-struct expression_vtable : expression_vtable<T, N / 2>
-{
-    using func_get = void (*)(void*, size_t, vec<T, N>&);
-    func_get get;
-
-    template <typename Expression>
-    expression_vtable(ctype_t<Expression> t)
-        : expression_vtable<T, N / 2>(t), get(&expression_vtable<T, N>::template static_get<Expression>)
-    {
-    }
-
-    template <typename Expression>
-    static void static_get(void* instance, size_t index, vec<T, N>& result)
-    {
-        result = get_elements(*static_cast<Expression*>(instance), cinput, index, vec_shape<T, N>());
-    }
-};
-
-template <typename T>
-struct expression_vtable<T, 0>
-{
-    using func_size        = size_t (*)(void* p);
-    using func_begin_block = void (*)(void*, size_t);
-    using func_end_block   = void (*)(void*, size_t);
-    using func_substitute  = bool (*)(void*, expression_pointer<T>&&);
-
-    func_size size;
-    func_begin_block begin_block;
-    func_end_block end_block;
-    func_substitute substitute;
-
-    template <typename Expression>
-    expression_vtable(ctype_t<Expression>)
-        : size(&expression_vtable<T, 0>::template static_size<Expression>),
-          begin_block(&expression_vtable<T, 0>::template static_begin_block<Expression>),
-          end_block(&expression_vtable<T, 0>::template static_end_block<Expression>),
-          substitute(&expression_vtable<T, 0>::template static_substitute<Expression>)
-    {
-    }
-
-    template <typename Expression>
-    static size_t static_size(void* instance)
-    {
-        return static_cast<Expression*>(instance)->size();
-    }
-    template <typename Expression>
-    static void static_begin_block(void* instance, size_t size)
-    {
-        return static_cast<Expression*>(instance)->begin_block(cinput, size);
-    }
-    template <typename Expression>
-    static void static_end_block(void* instance, size_t size)
-    {
-        return static_cast<Expression*>(instance)->end_block(cinput, size);
-    }
-    template <typename Expression>
-    static bool static_substitute(void* instance, expression_pointer<T>&& ptr)
-    {
-        return internal::invoke_substitute(*static_cast<Expression*>(instance), std::move(ptr));
-    }
-};
-
-struct expression_resource
-{
-    virtual ~expression_resource() {}
-    virtual void* instance() { return nullptr; }
-};
-
-template <typename E>
-struct expression_resource_impl : expression_resource
-{
-    expression_resource_impl(E&& e) CMT_NOEXCEPT : e(std::move(e)) {}
-    virtual ~expression_resource_impl() {}
-    virtual void* instance() override final { return &e; }
-
-public:
-#ifdef __cpp_aligned_new
-    static void operator delete(void* p, std::align_val_t al) noexcept { details::aligned_release(p); }
-#endif
-
-private:
-    E e;
-};
-
-template <typename E>
-KFR_INTRINSIC std::shared_ptr<expression_resource> make_resource(E&& e)
-{
-    using T = expression_resource_impl<decay<E>>;
-    return std::static_pointer_cast<expression_resource>(std::shared_ptr<T>(
-        new (aligned_allocate<T>()) T(std::move(e)), [](T* pi) { aligned_deallocate<T>(pi); }));
-}
-
-template <typename T, bool enable_resource>
-struct expression_pointer : input_expression
-{
-    using value_type = T;
-
-    expression_pointer() CMT_NOEXCEPT : instance(nullptr), vtable(nullptr) {}
-    expression_pointer(const void* instance, const expression_vtable<T>* vtable,
-                       std::shared_ptr<expression_resource> resource = nullptr)
-        : instance(const_cast<void*>(instance)), vtable(vtable), resource(std::move(resource))
-    {
-    }
-    template <size_t N, KFR_ENABLE_IF(N <= maximum_expression_width<T>)>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_pointer& self, cinput_t, size_t index,
-                                                vec_shape<T, N>)
-    {
-        static_assert(is_poweroftwo(N), "N must be a power of two");
-        vec<T, N> result;
-        static_cast<const expression_vtable<T, N>*>(self.vtable)->get(self.instance, index, result);
-        return result;
-    }
-    template <size_t N, KFR_ENABLE_IF(N > maximum_expression_width<T>)>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_pointer& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N>)
-    {
-        static_assert(is_poweroftwo(N), "N must be a power of two");
-        const vec<T, N / 2> r1 = get_elements(self, cinput, index, vec_shape<T, N / 2>());
-        const vec<T, N / 2> r2 = get_elements(self, cinput, index + N / 2, vec_shape<T, N / 2>());
-        return concat(r1, r2);
-    }
-    KFR_MEM_INTRINSIC void begin_block(cinput_t, size_t size) const { vtable->begin_block(instance, size); }
-    KFR_MEM_INTRINSIC void end_block(cinput_t, size_t size) const { vtable->end_block(instance, size); }
-    KFR_MEM_INTRINSIC size_t size() const { return vtable->size(instance); }
-
-    KFR_MEM_INTRINSIC bool substitute(expression_pointer<T>&& new_pointer, csize_t<0> = csize_t<0>{}) const
-    {
-        return vtable->substitute(instance, std::move(new_pointer));
-    }
-
-    explicit operator bool() const { return instance != nullptr; }
-
-private:
-    void* instance;
-    const expression_vtable<T>* vtable;
-    std::shared_ptr<expression_resource> resource;
-};
-
-inline namespace CMT_ARCH_NAME
-{
-
-namespace internal
-{
-
-template <typename T, typename E>
-KFR_INTRINSIC expression_vtable<T>* make_expression_vtable()
-{
-    static_assert(is_input_expression<E>, "E must be an expression");
-    static expression_vtable<T> vtable{ ctype_t<decay<E>>{} };
-    return &vtable;
-}
-} // namespace internal
-
-/** @brief Converts the given expression into an opaque object.
- *  This overload takes reference to the expression.
- *  @warning Use with caution with local variables.
- */
-template <typename E, typename T = value_type_of<E>>
-KFR_INTRINSIC expression_pointer<T> to_pointer(E& expr)
-{
-    static_assert(is_input_expression<E>, "E must be an expression");
-    return expression_pointer<T>(std::addressof(expr), internal::make_expression_vtable<T, E>());
-}
-
-/** @brief Converts the given expression into an opaque object.
- *  This overload takes ownership of the expression (Move semantics).
- *  @note Use std::move to force use of this overload.
- */
-template <typename E, typename T = value_type_of<E>>
-KFR_INTRINSIC expression_pointer<T> to_pointer(E&& expr)
-{
-    static_assert(is_input_expression<E>, "E must be an expression");
-    std::shared_ptr<expression_resource> ptr = make_resource(std::move(expr));
-    void* instance                           = ptr->instance();
-    return expression_pointer<T>(instance, internal::make_expression_vtable<T, E>(), std::move(ptr));
-}
-
-template <typename T, size_t key>
-class expression_placeholder : public input_expression
-{
-public:
-    using value_type                      = T;
-    expression_placeholder() CMT_NOEXCEPT = default;
-    template <typename U, size_t N>
-    friend KFR_INTRINSIC vec<U, N> get_elements(const expression_placeholder& self, cinput_t, size_t index,
-                                                vec_shape<U, N>)
-    {
-        return self.pointer ? elemcast<U>(get_elements(self.pointer, cinput, index, vec_shape<T, N>())) : 0;
-    }
-    expression_pointer<T> pointer;
-};
-
-template <typename T, size_t key = 0>
-KFR_INTRINSIC expression_placeholder<T, key> placeholder(csize_t<key> = csize_t<key>{})
-{
-    return expression_placeholder<T, key>();
-}
-
-template <typename... Args>
-KFR_INTRINSIC bool substitute(input_expression&, Args&&...)
-{
-    return false;
-}
-
-namespace internal
-{
-template <typename... Args, typename T, size_t key, size_t... indices>
-KFR_INTRINSIC bool substitute(internal::expression_with_arguments<Args...>& expr,
-                              expression_pointer<T>&& new_pointer, csize_t<key>, csizes_t<indices...>);
-}
-
-template <typename T, size_t key = 0>
-KFR_INTRINSIC bool substitute(expression_placeholder<T, key>& expr, expression_pointer<T>&& new_pointer,
-                              csize_t<key> = csize_t<key>{})
-{
-    expr.pointer = std::move(new_pointer);
-    return true;
-}
-
-template <typename... Args, typename T, size_t key = 0>
-KFR_INTRINSIC bool substitute(internal::expression_with_arguments<Args...>& expr,
-                              expression_pointer<T>&& new_pointer, csize_t<key> = csize_t<key>{})
-{
-    return internal::substitute(expr, std::move(new_pointer), csize_t<key>{}, indicesfor_t<Args...>{});
-}
-
-template <typename T, size_t key = 0>
-KFR_INTRINSIC bool substitute(expression_pointer<T>& expr, expression_pointer<T>&& new_pointer,
-                              csize_t<key> = csize_t<key>{})
-{
-    return expr.substitute(std::move(new_pointer), csize_t<key>{});
-}
-
-namespace internal
-{
-
-template <typename... Args, typename T, size_t key, size_t... indices>
-KFR_INTRINSIC bool substitute(internal::expression_with_arguments<Args...>& expr,
-                              expression_pointer<T>&& new_pointer, csize_t<key>, csizes_t<indices...>)
-{
-    return (substitute(std::get<indices>(expr.args), std::move(new_pointer), csize_t<key>()) || ...);
-}
-
-} // namespace internal
-
-namespace internal
-{
-
-template <typename Expression, typename T, size_t key>
-KFR_INTRINSIC bool invoke_substitute(Expression& expr, expression_pointer<T>&& new_pointer, csize_t<key>)
-{
-    return kfr::substitute(expr, std::move(new_pointer), csize_t<key>{});
-}
-
-} // namespace internal
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/base/random.hpp b/include/kfr/base/random.hpp
@@ -25,214 +25,218 @@
  */
 #pragma once
 
-#include "../simd/impl/function.hpp"
-#include "../simd/operators.hpp"
-#include "../simd/shuffle.hpp"
-#include "../simd/vec.hpp"
-#include <functional>
-
-#ifdef CMT_ARCH_ARM
-#define KFR_DISABLE_READCYCLECOUNTER
-#endif
+#include "../math/log_exp.hpp"
+#include "../math/sin_cos.hpp"
+#include "../math/sqrt.hpp"
+#include "random_bits.hpp"
+#include "state_holder.hpp"
 
 namespace kfr
 {
 
-#ifndef KFR_DISABLE_READCYCLECOUNTER
-struct seed_from_rdtsc_t
-{
-};
-
-constexpr seed_from_rdtsc_t seed_from_rdtsc{};
-#endif
-
 inline namespace CMT_ARCH_NAME
 {
 
-using random_state = u32x4;
-
-#ifndef KFR_DISABLE_READCYCLECOUNTER
-#ifdef CMT_COMPILER_CLANG
-#define KFR_builtin_readcyclecounter()                                                                       \
-    static_cast<u64>(__builtin_readcyclecounter()) // Intel C++ requires cast here
-#else
-#define KFR_builtin_readcyclecounter() static_cast<u64>(__rdtsc())
-#endif
-#endif
-
-struct random_bit_generator
-{
-#ifndef KFR_DISABLE_READCYCLECOUNTER
-    KFR_MEM_INTRINSIC random_bit_generator(seed_from_rdtsc_t) CMT_NOEXCEPT
-        : state(bitcast<u32>(make_vector(KFR_builtin_readcyclecounter(),
-                                         (KFR_builtin_readcyclecounter() << 11) ^ 0x710686d615e2257bull)))
-    {
-        (void)operator()();
-    }
-#endif
-    KFR_MEM_INTRINSIC random_bit_generator(u32 x0, u32 x1, u32 x2, u32 x3) CMT_NOEXCEPT
-        : state(x0, x1, x2, x3)
-    {
-        (void)operator()();
-    }
-    KFR_MEM_INTRINSIC random_bit_generator(u64 x0, u64 x1) CMT_NOEXCEPT
-        : state(bitcast<u32>(make_vector(x0, x1)))
-    {
-        (void)operator()();
-    }
-
-    KFR_MEM_INTRINSIC random_state operator()()
-    {
-        const static random_state mul{ 214013u, 17405u, 214013u, 69069u };
-        const static random_state add{ 2531011u, 10395331u, 13737667u, 1u };
-        state = bitcast<u32>(rotateright<3>(bitcast<u8>(fmadd(state, mul, add))));
-        return state;
-    }
-
-protected:
-    random_state state;
-};
-
-static_assert(sizeof(random_state) == 16, "sizeof(random_state) == 16");
-
-template <size_t N, KFR_ENABLE_IF(N <= sizeof(random_state))>
-KFR_INTRINSIC vec<u8, N> random_bits(random_bit_generator& gen)
-{
-    return narrow<N>(bitcast<u8>(gen()));
-}
-
-template <size_t N, KFR_ENABLE_IF(N > sizeof(random_state))>
-KFR_INTRINSIC vec<u8, N> random_bits(random_bit_generator& gen)
-{
-    constexpr size_t N2         = prev_poweroftwo(N - 1);
-    const vec<u8, N2> bits1     = random_bits<N2>(gen);
-    const vec<u8, N - N2> bits2 = random_bits<N - N2>(gen);
-    return concat(bits1, bits2);
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(is_integral<T>)>
-KFR_INTRINSIC vec<T, N> random_uniform(random_bit_generator& gen)
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_integral_v<T>)>
+KFR_INTRINSIC vec<T, N> random_uniform(random_state& state)
 {
-    return bitcast<T>(random_bits<N * sizeof(T)>(gen));
+    return bitcast<T>(random_bits<N * sizeof(T)>(state));
 }
 
-template <typename T, size_t N, KFR_ENABLE_IF(is_same<T, f32>)>
-KFR_INTRINSIC vec<f32, N> randommantissa(random_bit_generator& gen)
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_same_v<T, f32>)>
+KFR_INTRINSIC vec<f32, N> randommantissa(random_state& state)
 {
-    return bitcast<f32>((random_uniform<u32, N>(gen) & u32(0x7FFFFFu)) | u32(0x3f800000u)) + 0.0f;
+    return bitcast<f32>((random_uniform<u32, N>(state) & u32(0x7FFFFFu)) | u32(0x3f800000u)) + 0.0f;
 }
 
-template <typename T, size_t N, KFR_ENABLE_IF(is_same<T, f64>)>
-KFR_INTRINSIC vec<f64, N> randommantissa(random_bit_generator& gen)
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_same_v<T, f64>)>
+KFR_INTRINSIC vec<f64, N> randommantissa(random_state& state)
 {
-    return bitcast<f64>((random_uniform<u64, N>(gen) & u64(0x000FFFFFFFFFFFFFull)) |
+    return bitcast<f64>((random_uniform<u64, N>(state) & u64(0x000FFFFFFFFFFFFFull)) |
                         u64(0x3FF0000000000000ull)) +
            0.0;
 }
 
 template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> random_uniform(random_bit_generator& gen)
+KFR_INTRINSIC vec<T, N> random_uniform(random_state& state)
 {
-    return randommantissa<T, N>(gen) - 1.f;
+    return randommantissa<T, N>(state) - 1.f;
 }
 
 template <size_t N, typename T, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> random_range(random_bit_generator& gen, T min, T max)
+KFR_INTRINSIC vec<T, N> random_range(random_state& state, T min, T max)
 {
-    return mix(random_uniform<T, N>(gen), min, max);
+    return mix(random_uniform<T, N>(state), min, max);
 }
 
 template <size_t N, typename T, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> random_range(random_bit_generator& gen, T min, T max)
+KFR_INTRINSIC vec<T, N> random_range(random_state& state, T min, T max)
 {
     using big_type = findinttype<sqr(std::numeric_limits<T>::min()), sqr(std::numeric_limits<T>::max())>;
 
-    vec<T, N> u                = random_uniform<T, N>(gen);
+    vec<T, N> u                = random_uniform<T, N>(state);
     const vec<big_type, N> tmp = u;
     return (tmp * (max - min) + min) >> typebits<T>::bits;
 }
 
-namespace internal
+template <size_t N, typename T>
+KFR_INTRINSIC vec<T, N> random_normal(random_state& state, T mu, T sigma)
 {
-template <typename T, typename Gen = random_bit_generator>
-struct expression_random_uniform : input_expression
+    static_assert(std::is_floating_point_v<T>, "random_normal requires floating point type");
+
+    constexpr size_t M = align_up(N, 2); // round up to 2
+
+    vec<T, M> u = random_uniform<T, M>(state);
+
+    vec<T, M / 2> mag = sigma * sqrt(T(-2.0) * log(even(u)));
+    vec<T, M> z       = dup(mag) * cossin(c_pi<T, 2> * dupodd(u)) + mu;
+    return slice<0, N>(z);
+}
+
+template <typename T, index_t Dims, bool Reference = false>
+struct expression_random_uniform : expression_traits_defaults
 {
-    using value_type = T;
-    constexpr expression_random_uniform(Gen gen) CMT_NOEXCEPT : gen(gen) {}
-    template <size_t N>
-    friend vec<T, N> get_elements(const expression_random_uniform& self, cinput_t, size_t, vec_shape<T, N>)
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_random_uniform&)
+    {
+        return shape<dims>(infinite_size);
+    }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
+
+    mutable state_holder<random_state, Reference> state;
+
+    template <size_t N, index_t VecAxis>
+    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_random_uniform& self, shape<Dims>,
+                                                axis_params<VecAxis, N>)
+    {
+        return random_uniform<N, T>(*self.state);
+    }
+};
+
+template <typename T, index_t Dims, bool Reference = false>
+struct expression_random_range : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_random_range&)
+    {
+        return shape<dims>(infinite_size);
+    }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
+
+    mutable state_holder<random_state, Reference> state;
+    T min;
+    T max;
+
+    template <size_t N, index_t VecAxis>
+    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_random_range& self, shape<Dims>,
+                                                axis_params<VecAxis, N>)
     {
-        return random_uniform<T, N>(self.gen);
+        return random_range<N, T>(*self.state, self.min, self.max);
     }
-    mutable Gen gen;
 };
 
-template <typename T, typename Gen = random_bit_generator>
-struct expression_random_range : input_expression
+template <typename T, index_t Dims, bool Reference = false>
+struct expression_random_normal : expression_traits_defaults
 {
-    using value_type = T;
-    constexpr expression_random_range(Gen gen, T min, T max) CMT_NOEXCEPT : gen(gen), min(min), max(max) {}
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_random_normal&)
+    {
+        return shape<dims>(infinite_size);
+    }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
 
-    template <size_t N>
-    friend vec<T, N> get_elements(const expression_random_range& self, cinput_t, size_t, vec_shape<T, N>)
+    mutable state_holder<random_state, Reference> state;
+    T sigma{ 1 };
+    T mu{ 0 };
+
+    template <size_t N, index_t VecAxis>
+    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_random_normal& self, shape<Dims>,
+                                                axis_params<VecAxis, N>)
     {
-        return random_range<N, T>(self.gen, self.min, self.max);
+        return random_normal<N, T>(*self.state, self.mu, self.sigma);
     }
-    mutable Gen gen;
-    const T min;
-    const T max;
 };
-} // namespace internal
 
-/// @brief Returns expression that returns pseudo random values. Copies the given generator
-template <typename T>
-KFR_FUNCTION internal::expression_random_uniform<T> gen_random_uniform(const random_bit_generator& gen)
+/// @brief Returns expression that returns pseudorandom values. Copies the given generator
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_uniform<T, Dims> gen_random_uniform(const random_state& state)
 {
-    return internal::expression_random_uniform<T>(gen);
+    return { {}, state };
 }
 
-/// @brief Returns expression that returns pseudo random values. References the given
+/// @brief Returns expression that returns pseudorandom values. References the given
 /// generator. Use std::ref(gen) to force this overload
-template <typename T>
-KFR_FUNCTION internal::expression_random_uniform<T, std::reference_wrapper<random_bit_generator>>
-gen_random_uniform(std::reference_wrapper<random_bit_generator> gen)
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_range<T, Dims, true> gen_random_uniform(
+    std::reference_wrapper<random_state> state)
 {
-    return internal::expression_random_uniform<T, std::reference_wrapper<random_bit_generator>>(gen);
+    return { {}, state };
 }
 
 #ifndef KFR_DISABLE_READCYCLECOUNTER
-/// @brief Returns expression that returns pseudo random values
-template <typename T>
-KFR_FUNCTION internal::expression_random_uniform<T> gen_random_uniform()
+/// @brief Returns expression that returns pseudorandom values
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_range<T, Dims> gen_random_uniform()
 {
-    return internal::expression_random_uniform<T>(random_bit_generator(seed_from_rdtsc));
+    return expression_random_uniform<T, Dims>{ random_init() };
 }
 #endif
 
-/// @brief Returns expression that returns pseudo random values of the given range. Copies the given generator
-template <typename T>
-KFR_FUNCTION internal::expression_random_range<T> gen_random_range(const random_bit_generator& gen, T min,
-                                                                   T max)
+/// @brief Returns expression that returns pseudorandom values of the given range. Copies the given generator
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_range<T, Dims> gen_random_range(const random_state& state, T min, T max)
 {
-    return internal::expression_random_range<T>(gen, min, max);
+    return { {}, state, min, max };
 }
 
-/// @brief Returns expression that returns pseudo random values of the given range. References the given
+/// @brief Returns expression that returns pseudorandom values of the given range. References the given
 /// generator. Use std::ref(gen) to force this overload
-template <typename T>
-KFR_FUNCTION internal::expression_random_range<T, std::reference_wrapper<random_bit_generator>>
-gen_random_range(std::reference_wrapper<random_bit_generator> gen, T min, T max)
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_range<T, Dims, true> gen_random_range(
+    std::reference_wrapper<random_state> state, T min, T max)
 {
-    return internal::expression_random_range<T, std::reference_wrapper<random_bit_generator>>(gen, min, max);
+    return { {}, state, min, max };
 }
 
 #ifndef KFR_DISABLE_READCYCLECOUNTER
-/// @brief Returns expression that returns pseudo random values of the given range
-template <typename T>
-KFR_FUNCTION internal::expression_random_range<T> gen_random_range(T min, T max)
+/// @brief Returns expression that returns pseudorandom values of the given range
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_range<T, Dims> gen_random_range(T min, T max)
 {
-    return internal::expression_random_range<T>(random_bit_generator(seed_from_rdtsc), min, max);
+    return { {}, random_init(), min, max };
 }
 #endif
+
+/// @brief Returns expression that returns pseudorandom values from normal (gaussian) distribution. Copies the
+/// given generator
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_normal<T, Dims> gen_random_normal(const random_state& state, T sigma = 1,
+                                                                 T mu = 0)
+{
+    return { {}, state, sigma, mu };
+}
+
+/// @brief Returns expression that returns pseudorandom values from normal (gaussian) distribution. References
+/// the given generator. Use std::ref(gen) to force this overload
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_normal<T, Dims, true> gen_random_normal(
+    std::reference_wrapper<random_state> state, T sigma = 1, T mu = 0)
+{
+    return { {}, state, sigma, mu };
+}
+
+#ifndef KFR_DISABLE_READCYCLECOUNTER
+/// @brief Returns expression that returns pseudorandom values from normal (gaussian) distribution
+template <typename T, index_t Dims = 1>
+KFR_FUNCTION expression_random_normal<T, Dims> gen_random_normal(T sigma = 1, T mu = 0)
+{
+    return { {}, random_init(), sigma, mu };
+}
+#endif
+
 } // namespace CMT_ARCH_NAME
+
 } // namespace kfr
diff --git a/include/kfr/base/random_bits.hpp b/include/kfr/base/random_bits.hpp
@@ -0,0 +1,127 @@
+/** @addtogroup random
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../simd/impl/function.hpp"
+#include "../simd/operators.hpp"
+#include "../simd/shuffle.hpp"
+#include "../simd/vec.hpp"
+#include "expression.hpp"
+#include <functional>
+
+#ifdef CMT_ARCH_ARM
+#define KFR_DISABLE_READCYCLECOUNTER
+#endif
+
+namespace kfr
+{
+
+#ifndef KFR_DISABLE_READCYCLECOUNTER
+struct seed_from_rdtsc_t
+{
+};
+
+constexpr seed_from_rdtsc_t seed_from_rdtsc{};
+#endif
+
+struct random_state
+{
+    constexpr random_state() : v{ 0, 0, 0, 0 } {}
+    constexpr random_state(random_state&&)      = default;
+    constexpr random_state(const random_state&) = default;
+    constexpr random_state& operator=(random_state&&) = default;
+    constexpr random_state& operator=(const random_state&) = default;
+    // internal field
+    portable_vec<u32, 4> v;
+};
+
+#ifndef KFR_DISABLE_READCYCLECOUNTER
+#ifdef CMT_COMPILER_CLANG
+#define KFR_builtin_readcyclecounter()                                                                       \
+    static_cast<u64>(__builtin_readcyclecounter()) // Intel C++ requires cast here
+#else
+#define KFR_builtin_readcyclecounter() static_cast<u64>(__rdtsc())
+#endif
+#endif
+
+static_assert(sizeof(random_state) == 16, "sizeof(random_state) == 16");
+
+inline namespace CMT_ARCH_NAME
+{
+
+KFR_INTRINSIC void random_next(random_state& state)
+{
+    constexpr static portable_vec<u32, 4> mul{ 214013u, 17405u, 214013u, 69069u };
+    constexpr static portable_vec<u32, 4> add{ 2531011u, 10395331u, 13737667u, 1u };
+    state.v = bitcast<u32>(rotateright<3>(
+        bitcast<u8>(fmadd(static_cast<u32x4>(state.v), static_cast<u32x4>(mul), static_cast<u32x4>(add)))));
+}
+
+#ifndef KFR_DISABLE_READCYCLECOUNTER
+KFR_INTRINSIC random_state random_init()
+{
+    random_state state;
+    state.v = portable_vec<u32, 4>{ bitcast<u32>(make_vector(
+        KFR_builtin_readcyclecounter(), (KFR_builtin_readcyclecounter() << 11) ^ 0x710686d615e2257bull)) };
+    random_next(state);
+    return state;
+}
+#endif
+
+KFR_INTRINSIC random_state random_init(u32 x0, u32 x1, u32 x2, u32 x3)
+{
+    random_state state;
+    state.v = portable_vec<u32, 4>{ x0, x1, x2, x3 };
+    random_next(state);
+    return state;
+}
+
+KFR_INTRINSIC random_state random_init(u64 x0, u64 x1)
+{
+    random_state state;
+    state.v = portable_vec<u32, 4>{ static_cast<u32>(x0), static_cast<u32>(x0 >> 32), static_cast<u32>(x1),
+                                    static_cast<u32>(x1 >> 32) };
+    random_next(state);
+    return state;
+}
+
+template <size_t N, KFR_ENABLE_IF(N <= sizeof(random_state))>
+KFR_INTRINSIC vec<u8, N> random_bits(random_state& state)
+{
+    random_next(state);
+    return narrow<N>(bitcast<u8>(u32x4(state.v)));
+}
+
+template <size_t N, KFR_ENABLE_IF(N > sizeof(random_state))>
+KFR_INTRINSIC vec<u8, N> random_bits(random_state& state)
+{
+    constexpr size_t N2         = prev_poweroftwo(N - 1);
+    const vec<u8, N2> bits1     = random_bits<N2>(state);
+    const vec<u8, N - N2> bits2 = random_bits<N - N2>(state);
+    return concat(bits1, bits2);
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/base/reduce.hpp b/include/kfr/base/reduce.hpp
@@ -1,4 +1,4 @@
-/** @addtogroup array
+/** @addtogroup reducing
  *  @{
  */
 /*
@@ -25,12 +25,13 @@
  */
 #pragma once
 
-#include "../math/min_max.hpp"
 #include "../simd/horizontal.hpp"
 #include "../simd/impl/function.hpp"
+#include "../simd/min_max.hpp"
 #include "../simd/operators.hpp"
 #include "../simd/vec.hpp"
 #include "basic_expressions.hpp"
+#include "simd_expressions.hpp"
 
 namespace kfr
 {
@@ -47,30 +48,31 @@ KFR_FN(final_mean)
 template <typename T>
 KFR_INTRINSIC T final_rootmean(T value, size_t size)
 {
-    return builtin_sqrt(value / T(size));
+    return sqrt(value / T(size));
 }
 KFR_FN(final_rootmean)
 
-namespace internal
-{
-template <typename FinalFn, typename T, KFR_ENABLE_IF(is_callable<FinalFn, T, size_t>)>
+template <typename FinalFn, typename T, KFR_ENABLE_IF(std::is_invocable_v<FinalFn, T, size_t>)>
 KFR_INTRINSIC auto reduce_call_final(FinalFn&& finalfn, size_t size, T value)
 {
     return finalfn(value, size);
 }
-template <typename FinalFn, typename T, KFR_ENABLE_IF(!is_callable<FinalFn, T, size_t>)>
+template <typename FinalFn, typename T, KFR_ENABLE_IF(std::is_invocable_v<FinalFn, size_t>)>
 KFR_INTRINSIC auto reduce_call_final(FinalFn&& finalfn, size_t, T value)
 {
     return finalfn(value);
 }
 
-template <typename Tout, typename Twork, typename Tin, typename ReduceFn, typename TransformFn,
+template <typename Tout, index_t Dims, typename Twork, typename Tin, typename ReduceFn, typename TransformFn,
           typename FinalFn>
-struct expression_reduce : output_expression
+struct expression_reduce : public expression_traits_defaults
 {
-    constexpr static size_t width = vector_width<Tin> * bitness_const(1, 2);
+    using value_type             = Tin;
+    constexpr static size_t dims = Dims;
+    constexpr static shape<dims> get_shape(const expression_reduce&) { return shape<dims>(infinite_size); }
+    constexpr static shape<dims> get_shape() { return shape<dims>(infinite_size); }
 
-    using value_type = Tin;
+    constexpr static size_t width = vector_width<Tin> * bitness_const(1, 2);
 
     expression_reduce(ReduceFn&& reducefn, TransformFn&& transformfn, FinalFn&& finalfn)
         : counter(0), reducefn(std::move(reducefn)), transformfn(std::move(transformfn)),
@@ -78,16 +80,14 @@ struct expression_reduce : output_expression
     {
     }
 
-    template <size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t, size_t, const vec<Tin, N>& x) const
-    {
-        counter += N;
-        process(x);
-    }
+    KFR_MEM_INTRINSIC Tout get() { return reduce_call_final(finalfn, counter, horizontal(value, reducefn)); }
 
-    KFR_MEM_INTRINSIC Tout get()
+    template <size_t N, index_t VecAxis>
+    friend KFR_INTRINSIC void set_elements(expression_reduce& self, shape<Dims>, axis_params<VecAxis, N>,
+                                           const identity<vec<Tin, N>>& x)
     {
-        return internal::reduce_call_final(finalfn, counter, horizontal(value, reducefn));
+        self.counter += N;
+        self.process(x);
     }
 
 protected:
@@ -116,12 +116,11 @@ protected:
     FinalFn finalfn;
     mutable vec<Twork, width> value;
 };
-} // namespace internal
 
 template <typename ReduceFn, typename TransformFn = fn_generic::pass_through,
-          typename FinalFn = fn_generic::pass_through, typename E1, typename Tin = value_type_of<E1>,
-          typename Twork = decay<decltype(std::declval<TransformFn>()(std::declval<Tin>()))>,
-          typename Tout  = decay<decltype(internal::reduce_call_final(
+          typename FinalFn = fn_generic::pass_through, typename E1, typename Tin = expression_value_type<E1>,
+          typename Twork = std::decay_t<decltype(std::declval<TransformFn>()(std::declval<Tin>()))>,
+          typename Tout  = std::decay_t<decltype(reduce_call_final(
               std::declval<FinalFn>(), std::declval<size_t>(), std::declval<Twork>()))>,
           KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_INTRINSIC Tout reduce(const E1& e1, ReduceFn&& reducefn,
@@ -129,8 +128,8 @@ KFR_INTRINSIC Tout reduce(const E1& e1, ReduceFn&& reducefn,
                           FinalFn&& finalfn         = fn_generic::pass_through())
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
-    using reducer_t =
-        internal::expression_reduce<Tout, Twork, Tin, decay<ReduceFn>, decay<TransformFn>, decay<FinalFn>>;
+    using reducer_t = expression_reduce<Tout, expression_dims<E1>, Twork, Tin, std::decay_t<ReduceFn>,
+                                        std::decay_t<TransformFn>, std::decay_t<FinalFn>>;
     reducer_t red(std::forward<ReduceFn>(reducefn), std::forward<TransformFn>(transformfn),
                   std::forward<FinalFn>(finalfn));
     process(red, e1);
@@ -139,9 +138,9 @@ KFR_INTRINSIC Tout reduce(const E1& e1, ReduceFn&& reducefn,
 }
 
 template <typename ReduceFn, typename TransformFn = fn_generic::pass_through,
-          typename FinalFn = fn_generic::pass_through, typename E1, typename Tin = value_type_of<E1>,
-          typename Twork = decay<decltype(std::declval<TransformFn>()(std::declval<Tin>()))>,
-          typename Tout  = decay<decltype(internal::reduce_call_final(
+          typename FinalFn = fn_generic::pass_through, typename E1, typename Tin = expression_value_type<E1>,
+          typename Twork = std::decay_t<decltype(std::declval<TransformFn>()(std::declval<Tin>()))>,
+          typename Tout  = std::decay_t<decltype(reduce_call_final(
               std::declval<FinalFn>(), std::declval<size_t>(), std::declval<Twork>()))>,
           KFR_ENABLE_IF(!is_input_expression<E1>)>
 KFR_INTRINSIC Tout reduce(const E1& e1, ReduceFn&& reducefn,
@@ -155,10 +154,70 @@ KFR_INTRINSIC Tout reduce(const E1& e1, ReduceFn&& reducefn,
         result = reducefn(result, transformfn(in));
         ++counter;
     }
-    return internal::reduce_call_final(finalfn, counter, result);
+    return reduce_call_final(finalfn, counter, result);
 }
 
-KFR_FN(reduce)
+template <size_t Bins = 0, typename TCount = uint32_t>
+struct histogram_data
+{
+    using vector_type = univector<TCount, Bins == 0 ? tag_dynamic_vector : 2 + Bins>;
+
+    KFR_MEM_INTRINSIC histogram_data(size_t steps)
+    {
+        if constexpr (Bins == 0)
+        {
+            m_values = vector_type(2 + steps, 0);
+        }
+    }
+
+    KFR_MEM_INTRINSIC TCount operator[](size_t n) const
+    {
+        KFR_LOGIC_CHECK(n < size() - 2, "n is outside histogram size");
+        return m_values[1 + n];
+    }
+    KFR_MEM_INTRINSIC TCount below() const { return m_values.front(); }
+    KFR_MEM_INTRINSIC TCount above() const { return m_values.back(); }
+    KFR_MEM_INTRINSIC size_t size() const { return m_values.size() - 2; }
+    KFR_MEM_INTRINSIC univector_ref<const TCount> values() const { return m_values.slice(1, size()); }
+
+    template <typename T>
+    KFR_MEM_INTRINSIC void put(T value)
+    {
+        const T x = 1 + value * size();
+        ++m_values[std::floor(clamp(x, 0, size() + 1))];
+    }
+
+private:
+    vector_type m_values{};
+};
+
+template <size_t Bins, typename E, typename TCount = uint32_t>
+struct expression_histogram : public expression_with_traits<E>
+{
+    mutable histogram_data<Bins, TCount> data{};
+
+    using expression_with_traits<E>::expression_with_traits;
+
+    KFR_MEM_INTRINSIC expression_histogram(E&& e, size_t steps)
+        : expression_with_traits<E>{ std::forward<E>(e) }, data(steps)
+    {
+    }
+
+    using value_type = typename expression_with_traits<E>::value_type;
+
+    template <index_t Axis, size_t N>
+    friend KFR_INTRINSIC vec<value_type, N> get_elements(const expression_histogram& self,
+                                                         const shape<expression_with_traits<E>::dims>& index,
+                                                         const axis_params<Axis, N>& sh)
+    {
+        vec<value_type, N> v = get_elements(self.first(), index, sh);
+        for (size_t i = 0; i < N; ++i)
+        {
+            self.data.template put<value_type>(v[i]);
+        }
+        return v;
+    }
+};
 
 /**
  * @brief Returns the sum of all the elements in x.
@@ -168,7 +227,7 @@ KFR_FN(reduce)
  *  x_0 + x_1 + \ldots + x_{N-1}
  * \f]
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T sum(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -183,7 +242,7 @@ KFR_FUNCTION T sum(const E1& x)
  *  \frac{1}{N}(x_0 + x_1 + \ldots + x_{N-1})
  * \f]
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T mean(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -195,7 +254,7 @@ KFR_FUNCTION T mean(const E1& x)
  *
  * x must have its size and type specified.
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T minof(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -207,7 +266,7 @@ KFR_FUNCTION T minof(const E1& x)
  *
  * x must have its size and type specified.
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T maxof(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -219,7 +278,7 @@ KFR_FUNCTION T maxof(const E1& x)
  *
  * x must have its size and type specified.
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T absminof(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -231,7 +290,7 @@ KFR_FUNCTION T absminof(const E1& x)
  *
  * x must have its size and type specified.
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T absmaxof(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -247,8 +306,8 @@ KFR_FUNCTION T absmaxof(const E1& x)
  * \f]
  */
 template <typename E1, typename E2,
-          typename T = value_type_of<decltype(std::declval<E1>() * std::declval<E2>())>,
-          KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
+          typename T = expression_value_type<decltype(std::declval<E1>() * std::declval<E2>())>,
+          KFR_ACCEPT_EXPRESSIONS(E1, E2)>
 KFR_FUNCTION T dotproduct(E1&& x, E2&& y)
 {
     auto m    = std::forward<E1>(x) * std::forward<E2>(y);
@@ -265,7 +324,7 @@ KFR_FUNCTION T dotproduct(E1&& x, E2&& y)
    \sqrt{\frac{1}{N}( x_0^2 + x_1^2 + \ldots + x_{N-1}^2)}
    \f]
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T rms(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -280,7 +339,7 @@ KFR_FUNCTION T rms(const E1& x)
     x_0^2 + x_1^2 + \ldots + x_{N-1}^2
    \f]
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T sumsqr(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
@@ -295,12 +354,52 @@ KFR_FUNCTION T sumsqr(const E1& x)
     x_0 \cdot x_1 \cdot \ldots \cdot x_{N-1}
    \f]
  */
-template <typename E1, typename T = value_type_of<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
+template <typename E1, typename T = expression_value_type<E1>, KFR_ENABLE_IF(is_input_expression<E1>)>
 KFR_FUNCTION T product(const E1& x)
 {
     static_assert(!is_infinite<E1>, "e1 must be a sized expression (use slice())");
     return reduce(x, fn::mul());
 }
 
+/**
+ * @brief Returns expression that computes histogram as data flows through it.
+ * Number of bins defined at runtime
+ */
+template <typename E, typename TCount = uint32_t>
+KFR_FUNCTION expression_histogram<0, E, TCount> histogram_expression(E&& expr, size_t bins)
+{
+    return { std::forward<E>(expr), bins };
+}
+
+/**
+ * @brief Returns expression that computes histogram as data flows through it.
+ * Number of bins defined at compile time
+ */
+template <size_t Bins, typename E, typename TCount = uint32_t>
+KFR_FUNCTION expression_histogram<Bins, E, TCount> histogram_expression(E&& expr)
+{
+    return { std::forward<E>(expr), Bins };
+}
+
+/**
+ * @brief Returns histogram of the expression data.
+ * Number of bins defined at runtime
+ */
+template <typename E, typename TCount = uint32_t>
+KFR_FUNCTION histogram_data<0, TCount> histogram(E&& expr, size_t bins)
+{
+    return sink(histogram_expression(std::forward<E>(expr), bins)).data;
+}
+
+/**
+ * @brief Returns histogram of the expression data.
+ * Number of bins defined at compile time
+ */
+template <size_t Bins, typename E, typename TCount = uint32_t>
+KFR_FUNCTION histogram_data<Bins, TCount> histogram(E&& expr)
+{
+    return sink(histogram_expression(std::forward<E>(expr), Bins)).data;
+}
+
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/base/shape.hpp b/include/kfr/base/shape.hpp
@@ -0,0 +1,834 @@
+/** @addtogroup types
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../except.hpp"
+#include "impl/static_array.hpp"
+
+#include "../cometa/string.hpp"
+#include "../simd/logical.hpp"
+#include "../simd/min_max.hpp"
+#include "../simd/shuffle.hpp"
+#include "../simd/types.hpp"
+
+#include <bitset>
+#include <optional>
+
+namespace kfr
+{
+
+#ifndef KFR_32BIT_INDICES
+#if SIZE_MAX == UINT64_MAX
+using index_t        = uint64_t;
+using signed_index_t = int64_t;
+#else
+using index_t        = uint32_t;
+using signed_index_t = int32_t;
+#endif
+#else
+using index_t        = uint32_t;
+using signed_index_t = int32_t;
+#endif
+constexpr inline index_t max_index_t         = std::numeric_limits<index_t>::max();
+constexpr inline signed_index_t max_sindex_t = std::numeric_limits<signed_index_t>::max();
+
+template <index_t val>
+using cindex_t = cval_t<index_t, val>;
+
+template <index_t val>
+constexpr inline cindex_t<val> cindex{};
+
+constexpr inline index_t infinite_size = max_index_t;
+
+constexpr inline index_t undefined_size = 0;
+
+constexpr inline index_t maximum_dims = 8;
+CMT_INTRINSIC constexpr size_t size_add(size_t x, size_t y)
+{
+    return (x == infinite_size || y == infinite_size) ? infinite_size : x + y;
+}
+
+CMT_INTRINSIC constexpr size_t size_sub(size_t x, size_t y)
+{
+    return (x == infinite_size || y == infinite_size) ? infinite_size : (x > y ? x - y : 0);
+}
+
+CMT_INTRINSIC constexpr size_t size_min(size_t x) CMT_NOEXCEPT { return x; }
+
+template <typename... Ts>
+CMT_INTRINSIC constexpr size_t size_min(size_t x, size_t y, Ts... rest) CMT_NOEXCEPT
+{
+    return size_min(x < y ? x : y, rest...);
+}
+
+using dimset = static_array_of_size<i8, maximum_dims>; // std::array<i8, maximum_dims>;
+
+template <index_t dims>
+struct shape;
+
+namespace internal_generic
+{
+template <index_t dims>
+KFR_INTRINSIC bool increment_indices(shape<dims>& indices, const shape<dims>& start, const shape<dims>& stop,
+                                     index_t dim = dims - 1);
+} // namespace internal_generic
+
+template <index_t dims>
+struct shape : static_array_base<index_t, csizeseq_t<dims>>
+{
+    using base = static_array_base<index_t, csizeseq_t<dims>>;
+
+    using base::base;
+
+    constexpr shape(const base& a) : base(a) {}
+
+    static_assert(dims < maximum_dims);
+
+    template <int dummy = 0, KFR_ENABLE_IF(dummy == 0 && dims == 1)>
+    operator index_t() const
+    {
+        return this->front();
+    }
+
+    template <typename TI>
+    static constexpr shape from_std_array(const std::array<TI, dims>& a)
+    {
+        shape result;
+        std::copy(a.begin(), a.end(), result.begin());
+        return result;
+    }
+
+    template <typename TI = index_t>
+    constexpr std::array<TI, dims> to_std_array() const
+    {
+        std::array<TI, dims> result{};
+        std::copy(this->begin(), this->end(), result.begin());
+        return result;
+    }
+
+    bool ge(const shape& other) const
+    {
+        if constexpr (dims == 1)
+        {
+            return this->front() >= other.front();
+        }
+        else
+        {
+            return all(**this >= *other);
+        }
+    }
+
+    index_t trailing_zeros() const
+    {
+        for (index_t i = 0; i < dims; ++i)
+        {
+            if (revindex(i) != 0)
+                return i;
+        }
+        return dims;
+    }
+
+    bool le(const shape& other) const
+    {
+        if constexpr (dims == 1)
+        {
+            return this->front() <= other.front();
+        }
+        else
+        {
+            return all(**this <= *other);
+        }
+    }
+
+    constexpr shape add(index_t value) const
+    {
+        shape result = *this;
+        result.back() += value;
+        return result;
+    }
+    template <index_t Axis>
+    constexpr shape add_at(index_t value, cval_t<index_t, Axis> = {}) const
+    {
+        shape result = *this;
+        result[Axis] += value;
+        return result;
+    }
+    constexpr shape add(const shape& other) const { return **this + *other; }
+    constexpr shape sub(const shape& other) const { return **this - *other; }
+    constexpr index_t sum() const { return (*this)->sum(); }
+
+    constexpr bool has_infinity() const
+    {
+        for (index_t i = 0; i < dims; ++i)
+        {
+            if (CMT_UNLIKELY(this->operator[](i) == infinite_size))
+                return true;
+        }
+        return false;
+    }
+
+    friend constexpr shape add_shape(const shape& lhs, const shape& rhs)
+    {
+        return lhs.bin(rhs, [](index_t x, index_t y) { return std::max(std::max(x, y), x + y); });
+    }
+    friend constexpr shape sub_shape(const shape& lhs, const shape& rhs)
+    {
+        return lhs.bin(rhs, [](index_t x, index_t y)
+                       { return std::max(x, y) == infinite_size ? infinite_size : x - y; });
+    }
+    friend constexpr shape add_shape_undef(const shape& lhs, const shape& rhs)
+    {
+        return lhs.bin(rhs,
+                       [](index_t x, index_t y)
+                       {
+                           bool inf   = std::max(x, y) == infinite_size;
+                           bool undef = std::min(x, y) == undefined_size;
+                           return inf ? infinite_size : undef ? undefined_size : x + y;
+                       });
+    }
+    friend constexpr shape sub_shape_undef(const shape& lhs, const shape& rhs)
+    {
+        return lhs.bin(rhs,
+                       [](index_t x, index_t y)
+                       {
+                           bool inf   = std::max(x, y) == infinite_size;
+                           bool undef = std::min(x, y) == undefined_size;
+                           return inf ? infinite_size : undef ? undefined_size : x - y;
+                       });
+    }
+
+    friend constexpr shape min(const shape& x, const shape& y) { return x->min(*y); }
+
+    constexpr const base& operator*() const { return static_cast<const base&>(*this); }
+
+    constexpr const base* operator->() const { return static_cast<const base*>(this); }
+
+    KFR_MEM_INTRINSIC constexpr size_t to_flat(const shape<dims>& indices) const
+    {
+        if constexpr (dims == 1)
+        {
+            return indices[0];
+        }
+        else if constexpr (dims == 2)
+        {
+            return (*this)[1] * indices[0] + indices[1];
+        }
+        else
+        {
+            size_t result = 0;
+            size_t scale  = 1;
+            CMT_LOOP_UNROLL
+            for (size_t i = 0; i < dims; ++i)
+            {
+                result += scale * indices[dims - 1 - i];
+                scale *= (*this)[dims - 1 - i];
+            }
+            return result;
+        }
+    }
+    KFR_MEM_INTRINSIC constexpr shape<dims> from_flat(size_t index) const
+    {
+        if constexpr (dims == 1)
+        {
+            return { static_cast<index_t>(index) };
+        }
+        else if constexpr (dims == 2)
+        {
+            index_t sz = (*this)[1];
+            return { static_cast<index_t>(index / sz), static_cast<index_t>(index % sz) };
+        }
+        else
+        {
+            shape<dims> indices;
+            CMT_LOOP_UNROLL
+            for (size_t i = 0; i < dims; ++i)
+            {
+                size_t sz             = (*this)[dims - 1 - i];
+                indices[dims - 1 - i] = index % sz;
+                index /= sz;
+            }
+            return indices;
+        }
+    }
+
+    KFR_MEM_INTRINSIC constexpr index_t dot(const shape& other) const { return (*this)->dot(*other); }
+
+    template <index_t indims>
+    KFR_MEM_INTRINSIC constexpr shape adapt(const shape<indims>& other) const
+    {
+        static_assert(indims >= dims);
+        return other.template trim<dims>()->min(**this - 1);
+    }
+
+    KFR_MEM_INTRINSIC constexpr index_t product() const { return (*this)->product(); }
+
+    KFR_MEM_INTRINSIC constexpr dimset tomask() const
+    {
+        dimset result(0);
+        for (index_t i = 0; i < dims; ++i)
+        {
+            result[i + maximum_dims - dims] = this->operator[](i) == 1 ? 0 : -1;
+        }
+        return result;
+    }
+
+    template <index_t new_dims>
+    constexpr KFR_MEM_INTRINSIC shape<new_dims> extend(index_t value = infinite_size) const
+    {
+        static_assert(new_dims >= dims);
+        if constexpr (new_dims == dims)
+            return *this;
+        else
+            return shape<new_dims>{ shape<new_dims - dims>(value), *this };
+    }
+
+    template <index_t odims>
+    constexpr shape<odims> trim() const
+    {
+        static_assert(odims <= dims);
+        if constexpr (odims > 0)
+        {
+            return this->template slice<dims - odims, odims>();
+        }
+        else
+        {
+            return {};
+        }
+    }
+
+    constexpr KFR_MEM_INTRINSIC shape<dims - 1> trunc() const
+    {
+        if constexpr (dims > 1)
+        {
+            return this->template slice<0, dims - 1>();
+        }
+        else
+        {
+            return {};
+        }
+    }
+
+    KFR_MEM_INTRINSIC constexpr index_t revindex(size_t index) const
+    {
+        return index < dims ? this->operator[](dims - 1 - index) : 1;
+    }
+    KFR_MEM_INTRINSIC constexpr void set_revindex(size_t index, index_t val)
+    {
+        if (CMT_LIKELY(index < dims))
+            this->operator[](dims - 1 - index) = val;
+    }
+};
+
+template <>
+struct shape<0>
+{
+    static constexpr size_t static_size = 0;
+
+    static constexpr size_t size() { return static_size; }
+
+    constexpr shape() = default;
+    constexpr shape(index_t value) {}
+
+    constexpr bool has_infinity() const { return false; }
+
+    KFR_MEM_INTRINSIC size_t to_flat(const shape<0>& indices) const { return 0; }
+    KFR_MEM_INTRINSIC shape<0> from_flat(size_t index) const { return {}; }
+
+    template <index_t odims>
+    KFR_MEM_INTRINSIC shape<0> adapt(const shape<odims>& other) const
+    {
+        return {};
+    }
+
+    index_t trailing_zeros() const { return 0; }
+
+    KFR_MEM_INTRINSIC index_t dot(const shape& other) const { return 0; }
+
+    KFR_MEM_INTRINSIC index_t product() const { return 0; }
+
+    KFR_MEM_INTRINSIC dimset tomask() const { return dimset(-1); }
+
+    template <index_t new_dims>
+    constexpr KFR_MEM_INTRINSIC shape<new_dims> extend(index_t value = infinite_size) const
+    {
+        if constexpr (new_dims == 0)
+            return *this;
+        else
+            return shape<new_dims>{ value };
+    }
+
+    template <index_t new_dims>
+    constexpr shape<new_dims> trim() const
+    {
+        static_assert(new_dims == 0);
+        return {};
+    }
+
+    KFR_MEM_INTRINSIC constexpr bool operator==(const shape<0>& other) const { return true; }
+    KFR_MEM_INTRINSIC constexpr bool operator!=(const shape<0>& other) const { return false; }
+
+    KFR_MEM_INTRINSIC constexpr index_t revindex(size_t index) const { return 1; }
+    KFR_MEM_INTRINSIC void set_revindex(size_t index, index_t val) {}
+};
+
+template <typename... Args>
+shape(Args&&... args) -> shape<sizeof...(Args)>;
+
+namespace internal_generic
+{
+
+template <index_t outdims, index_t indims>
+KFR_MEM_INTRINSIC shape<outdims> adapt(const shape<indims>& in, const dimset& set)
+{
+    static_assert(indims >= outdims);
+    if constexpr (outdims == 0)
+    {
+        return {};
+    }
+    else
+    {
+        const static_array_of_size<index_t, maximum_dims> eset = set.template cast<index_t>();
+        return in->template slice<indims - outdims, outdims>() &
+               eset.template slice<maximum_dims - outdims, outdims>();
+    }
+}
+template <index_t outdims>
+KFR_MEM_INTRINSIC shape<outdims> adapt(const shape<0>& in, const dimset& set)
+{
+    static_assert(outdims == 0);
+    return {};
+}
+} // namespace internal_generic
+
+template <size_t Dims>
+struct cursor
+{
+    shape<Dims> current;
+    shape<Dims> minimum;
+    shape<Dims> maximum;
+};
+
+using opt_index_t = std::optional<signed_index_t>;
+
+struct tensor_range
+{
+    opt_index_t start;
+    opt_index_t stop;
+    opt_index_t step;
+};
+
+constexpr KFR_INTRINSIC tensor_range trange(std::optional<signed_index_t> start = std::nullopt,
+                                            std::optional<signed_index_t> stop  = std::nullopt,
+                                            std::optional<signed_index_t> step  = std::nullopt)
+{
+    return { start, stop, step };
+}
+
+constexpr KFR_INTRINSIC tensor_range tall() { return trange(); }
+constexpr KFR_INTRINSIC tensor_range tstart(signed_index_t start, signed_index_t step = 1)
+{
+    return trange(start, std::nullopt, step);
+}
+constexpr KFR_INTRINSIC tensor_range tstop(signed_index_t stop, signed_index_t step = 1)
+{
+    return trange(std::nullopt, stop, step);
+}
+constexpr KFR_INTRINSIC tensor_range tstep(signed_index_t step = 1)
+{
+    return trange(std::nullopt, std::nullopt, step);
+}
+
+namespace internal_generic
+{
+
+constexpr inline index_t null_index = max_index_t;
+
+template <index_t dims>
+constexpr KFR_INTRINSIC shape<dims> strides_for_shape(const shape<dims>& sh, index_t stride = 1)
+{
+    shape<dims> strides;
+    if constexpr (dims > 0)
+    {
+        index_t n = stride;
+        for (index_t i = 0; i < dims; ++i)
+        {
+            strides[dims - 1 - i] = n;
+            n *= sh[dims - 1 - i];
+        }
+    }
+    return strides;
+}
+
+template <size_t dims, size_t outdims, bool... ranges>
+constexpr KFR_INTRINSIC shape<outdims> compact_shape(const shape<dims>& in)
+{
+    shape<outdims> result;
+    constexpr std::array flags{ ranges... };
+    size_t j = 0;
+    for (size_t i = 0; i < dims; ++i)
+    {
+        if (CMT_LIKELY(i >= flags.size() || flags[i]))
+        {
+            result[j++] = in[i];
+        }
+    }
+    return result;
+}
+
+template <index_t dims1, index_t dims2, index_t outdims = const_max(dims1, dims2)>
+constexpr bool can_assign_from(const shape<dims1>& dst_shape, const shape<dims2>& src_shape)
+{
+    if constexpr (dims2 == 0)
+    {
+        return true;
+    }
+    else
+    {
+        for (size_t i = 0; i < outdims; ++i)
+        {
+            index_t dst_size = dst_shape.revindex(i);
+            index_t src_size = src_shape.revindex(i);
+            if (CMT_LIKELY(src_size == 1 || src_size == infinite_size || src_size == dst_size ||
+                           dst_size == infinite_size))
+            {
+            }
+            else
+            {
+                return false;
+            }
+        }
+        return true;
+    }
+}
+
+template <bool checked = false, index_t dims>
+constexpr shape<dims> common_shape(const shape<dims>& shape)
+{
+    return shape;
+}
+
+template <bool checked = false, index_t dims1, index_t dims2, index_t outdims = const_max(dims1, dims2)>
+KFR_MEM_INTRINSIC constexpr shape<outdims> common_shape(const shape<dims1>& shape1,
+                                                        const shape<dims2>& shape2)
+{
+    shape<outdims> result;
+    for (size_t i = 0; i < outdims; ++i)
+    {
+        index_t size1 = shape1.revindex(i);
+        index_t size2 = shape2.revindex(i);
+        if (CMT_UNLIKELY(!size1 || !size2))
+        {
+            result[outdims - 1 - i] = 0;
+            continue;
+        }
+
+        if (CMT_UNLIKELY(size1 == infinite_size))
+        {
+            if (CMT_UNLIKELY(size2 == infinite_size))
+            {
+                result[outdims - 1 - i] = infinite_size;
+            }
+            else
+            {
+                result[outdims - 1 - i] = size2 == 1 ? infinite_size : size2;
+            }
+        }
+        else
+        {
+            if (CMT_UNLIKELY(size2 == infinite_size))
+            {
+                result[outdims - 1 - i] = size1 == 1 ? infinite_size : size1;
+            }
+            else
+            {
+                if (CMT_LIKELY(size1 == 1 || size2 == 1 || size1 == size2))
+                {
+                    result[outdims - 1 - i] = std::max(size1, size2);
+                }
+                else
+                {
+                    // broadcast failed
+                    if constexpr (checked)
+                    {
+                        KFR_LOGIC_CHECK(false, "invalid or incompatible shapes: ", shape1, " and ", shape2);
+                    }
+                    else
+                    {
+                        result = shape<outdims>(0);
+                        return result;
+                    }
+                }
+            }
+        }
+    }
+    return result;
+}
+
+template <bool checked = false>
+KFR_MEM_INTRINSIC constexpr shape<0> common_shape(const shape<0>& shape1, const shape<0>& shape2)
+{
+    return {};
+}
+
+template <bool checked    = false, index_t dims1, index_t dims2, index_t... dims,
+          index_t outdims = const_max(dims1, dims2, dims...)>
+KFR_MEM_INTRINSIC constexpr shape<outdims> common_shape(const shape<dims1>& shape1,
+                                                        const shape<dims2>& shape2,
+                                                        const shape<dims>&... shapes)
+{
+    return common_shape<checked>(shape1, common_shape(shape2, shapes...));
+}
+
+template <index_t dims1, index_t dims2>
+KFR_MEM_INTRINSIC bool same_layout(const shape<dims1>& x, const shape<dims2>& y)
+{
+    for (index_t i = 0, j = 0;;)
+    {
+        while (i < dims1 && x[i] == 1)
+            ++i;
+        while (j < dims2 && y[j] == 1)
+            ++j;
+        if (i == dims1 && j == dims2)
+        {
+            return true;
+        }
+        if (i < dims1 && j < dims2)
+        {
+            if (x[i] != y[j])
+                return false;
+        }
+        else
+        {
+            return false;
+        }
+        ++i;
+        ++j;
+    }
+}
+
+#ifdef KFR_VEC_INDICES
+template <size_t step, index_t dims>
+KFR_INTRINSIC vec<index_t, dims> increment_indices(vec<index_t, dims> indices,
+                                                   const vec<index_t, dims>& start,
+                                                   const vec<index_t, dims>& stop)
+{
+    indices = indices + make_vector(cconcat(cvalseq<index_t, dims - 1 - step, 0, 0>, cvalseq<index_t, 1, 1>,
+                                            cvalseq<index_t, step, 0, 0>));
+
+    if constexpr (step + 1 < dims)
+    {
+        vec<bit<index_t>, dims> mask = indices >= stop;
+        if (CMT_LIKELY(!any(mask)))
+            return indices;
+        indices = blend(indices, start, cconcat(csizeseq<dims - step - 1, 0, 0>, csizeseq<step + 1, 1, 0>));
+
+        return increment_indices<step + 1>(indices, stop);
+    }
+    else
+    {
+        return indices;
+    }
+}
+#endif
+
+template <index_t dims>
+KFR_INTRINSIC bool compare_indices(const shape<dims>& indices, const shape<dims>& stop,
+                                   index_t dim = dims - 1)
+{
+    CMT_LOOP_UNROLL
+    for (int i = dim; i >= 0; --i)
+    {
+        if (CMT_UNLIKELY(indices[i] >= stop[i]))
+            return false;
+    }
+    return true;
+}
+
+template <index_t dims>
+KFR_INTRINSIC bool increment_indices(shape<dims>& indices, const shape<dims>& start, const shape<dims>& stop,
+                                     index_t dim)
+{
+#ifdef KFR_VEC_INDICES
+    vec<index_t, dims> idx = increment_indices<0>(*indices, *start, *stop);
+    indices                = idx;
+    if (any(idx == *stop))
+        return false;
+    return true;
+#else
+    if constexpr (dims > 0)
+    {
+        indices[dim] += 1;
+        CMT_LOOP_UNROLL
+        for (int i = dim; i >= 0;)
+        {
+            if (CMT_LIKELY(indices[i] < stop[i]))
+                return true;
+            // carry
+            indices[i] = start[i];
+            --i;
+            if (i < 0)
+            {
+                return false;
+            }
+            indices[i] += 1;
+        }
+        return true;
+    }
+    else
+    {
+        return false;
+    }
+#endif
+}
+
+template <index_t dims>
+KFR_INTRINSIC shape<dims> increment_indices_return(const shape<dims>& indices, const shape<dims>& start,
+                                                   const shape<dims>& stop, index_t dim = dims - 1)
+{
+    shape<dims> result = indices;
+    if (CMT_LIKELY(increment_indices(result, start, stop, dim)))
+    {
+        return result;
+    }
+    else
+    {
+        return shape<dims>(null_index);
+    }
+}
+
+template <typename... Index>
+constexpr KFR_INTRINSIC size_t count_dimensions()
+{
+    return ((std::is_same_v<std::decay_t<Index>, tensor_range> ? 1 : 0) + ...);
+}
+
+template <typename U>
+struct type_of_list
+{
+    using value_type = U;
+};
+
+template <typename U>
+struct type_of_list<std::initializer_list<U>>
+{
+    using value_type = typename type_of_list<U>::value_type;
+};
+
+template <typename U>
+using type_of_list_t = typename type_of_list<U>::value_type;
+
+template <typename U>
+constexpr KFR_INTRINSIC shape<1> shape_of_list(const std::initializer_list<U>& list)
+{
+    return list.size();
+}
+
+template <typename U>
+constexpr KFR_INTRINSIC auto shape_of_list(const std::initializer_list<std::initializer_list<U>>& list)
+{
+    return shape_of_list(*list.begin());
+}
+
+template <typename U>
+constexpr KFR_INTRINSIC U list_get(const std::initializer_list<U>& list, const shape<1>& idx)
+{
+    return list[idx.front()];
+}
+
+template <typename U, index_t dims>
+constexpr KFR_INTRINSIC auto list_get(const std::initializer_list<std::initializer_list<U>>& list,
+                                      const shape<dims>& idx)
+{
+    return list_get(list[idx[0]], idx.template trim<dims - 1>());
+}
+
+template <typename U, typename T>
+KFR_FUNCTION T* list_copy_recursively(const std::initializer_list<U>& list, T* dest)
+{
+    for (const auto& value : list)
+        *dest++ = static_cast<T>(value);
+    return dest;
+}
+
+template <typename U, typename T>
+KFR_FUNCTION T* list_copy_recursively(const std::initializer_list<std::initializer_list<U>>& list, T* dest)
+{
+    for (const auto& sublist : list)
+        dest = list_copy_recursively(sublist, dest);
+    return dest;
+}
+
+} // namespace internal_generic
+
+template <index_t dims>
+constexpr KFR_INTRINSIC index_t size_of_shape(const shape<dims>& shape)
+{
+    index_t n = 1;
+    if constexpr (dims > 0)
+    {
+        for (index_t i = 0; i < dims; ++i)
+        {
+            n *= shape[i];
+        }
+    }
+    return n;
+}
+
+template <index_t Axis, size_t N>
+struct axis_params
+{
+    constexpr static index_t axis  = Axis;
+    constexpr static index_t width = N;
+    constexpr static index_t value = N;
+
+    constexpr axis_params() = default;
+};
+
+template <index_t Axis, size_t N>
+constexpr inline const axis_params<Axis, N> axis_params_v{};
+
+} // namespace kfr
+
+namespace cometa
+{
+template <kfr::index_t dims>
+struct representation<kfr::shape<dims>>
+{
+    using type = std::string;
+    static std::string get(const kfr::shape<dims>& value)
+    {
+        if constexpr (dims == 0)
+        {
+            return "shape{}";
+        }
+        else
+        {
+            return "shape" + array_to_string(dims, value.data());
+        }
+    }
+};
+
+} // namespace cometa
diff --git a/include/kfr/base/simd_expressions.hpp b/include/kfr/base/simd_expressions.hpp
@@ -0,0 +1,489 @@
+/** @addtogroup expressions
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../simd/abs.hpp"
+#include "../simd/clamp.hpp"
+#include "../simd/comparison.hpp"
+#include "../simd/complex.hpp"
+#include "../simd/min_max.hpp"
+#include "../simd/operators.hpp"
+#include "../simd/round.hpp"
+#include "../simd/saturation.hpp"
+#include "../simd/select.hpp"
+#include "../simd/vec.hpp"
+#include "expression.hpp"
+#include "univector.hpp"
+#include <algorithm>
+
+namespace kfr
+{
+
+inline namespace CMT_ARCH_NAME
+{
+
+/**
+ * @brief Returns template expression that returns sum of all the arguments passed to a function.
+ */
+template <typename... E, KFR_ACCEPT_EXPRESSIONS(E...)>
+KFR_INTRINSIC expression_function<fn::add, E...> add(E&&... x)
+{
+    return { fn::add(), std::forward<E>(x)... };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::sub, E1, E2> sub(E1&& x, E2&& y)
+{
+    return { fn::sub(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns template expression that returns product of all the arguments passed to a function.
+ */
+template <typename... E, KFR_ACCEPT_EXPRESSIONS(E...)>
+KFR_INTRINSIC expression_function<fn::mul, E...> mul(E&&... x)
+{
+    return { fn::mul(), std::forward<E>(x)... };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::ipow, E1, E2> ipow(E1&& x, E2&& b)
+{
+    return { fn::ipow(), std::forward<E1>(x), std::forward<E2>(b) };
+}
+
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_INTRINSIC expression_function<fn::mix, E1, E2, E3> mix(E1&& c, E2&& x, E3&& y)
+{
+    return { fn::mix(), std::forward<E1>(c), std::forward<E2>(x), std::forward<E3>(y) };
+}
+
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_INTRINSIC expression_function<fn::mixs, E1, E2, E3> mixs(E1&& c, E2&& x, E3&& y)
+{
+    return { fn::mixs(), std::forward<E1>(c), std::forward<E2>(x), std::forward<E3>(y) };
+}
+
+template <typename... E, KFR_ACCEPT_EXPRESSIONS(E...)>
+KFR_INTRINSIC expression_function<fn::horner, E...> horner(E&&... x)
+{
+    return { fn::horner(), std::forward<E>(x)... };
+}
+
+template <typename... E, KFR_ACCEPT_EXPRESSIONS(E...)>
+KFR_INTRINSIC expression_function<fn::horner_even, E...> horner_even(E&&... x)
+{
+    return { fn::horner_even(), std::forward<E>(x)... };
+}
+
+template <typename... E, KFR_ACCEPT_EXPRESSIONS(E...)>
+KFR_INTRINSIC expression_function<fn::horner_odd, E...> horner_odd(E&&... x)
+{
+    return { fn::horner_odd(), std::forward<E>(x)... };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::add, E1, E2> operator+(E1&& e1, E2&& e2)
+{
+    return { fn::add(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::sub, E1, E2> operator-(E1&& e1, E2&& e2)
+{
+    return { fn::sub(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::mul, E1, E2> operator*(E1&& e1, E2&& e2)
+{
+    return { fn::mul(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::div, E1, E2> operator/(E1&& e1, E2&& e2)
+{
+    return { fn::div(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::mod, E1, E2> operator%(E1&& e1, E2&& e2)
+{
+    return { fn::mod(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::bitwiseand, E1, E2> operator&(E1&& e1, E2&& e2)
+{
+    return { fn::bitwiseand(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::bitwiseor, E1, E2> operator|(E1&& e1, E2&& e2)
+{
+    return { fn::bitwiseor(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::bitwisexor, E1, E2> operator^(E1&& e1, E2&& e2)
+{
+    return { fn::bitwisexor(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::shl, E1, E2> operator<<(E1&& e1, E2&& e2)
+{
+    return { fn::shl(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::shr, E1, E2> operator>>(E1&& e1, E2&& e2)
+{
+    return { fn::shr(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+/**
+ * @brief Returns template expression that returns square of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::sqr, E1> sqr(E1&& x)
+{
+    return { fn::sqr(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns template expression that returns cube of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::cub, E1> cub(E1&& x)
+{
+    return { fn::cub(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::pow2, E1> pow2(E1&& x)
+{
+    return { fn::pow2(), std::forward<E1>(x) };
+}
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::pow3, E1> pow3(E1&& x)
+{
+    return { fn::pow3(), std::forward<E1>(x) };
+}
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::pow4, E1> pow4(E1&& x)
+{
+    return { fn::pow4(), std::forward<E1>(x) };
+}
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::pow5, E1> pow5(E1&& x)
+{
+    return { fn::pow5(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::neg, E1> operator-(E1&& e1)
+{
+    return { fn::neg(), std::forward<E1>(e1) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::bitwisenot, E1> operator~(E1&& e1)
+{
+    return { fn::bitwisenot(), std::forward<E1>(e1) };
+}
+
+/// @brief Constructs complex value from real and imaginary parts
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::make_complex, E1, E2> make_complex(E1&& re, E2&& im)
+{
+    return { fn::make_complex{}, std::forward<E1>(re), std::forward<E2>(im) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::equal, E1, E2> operator==(E1&& e1, E2&& e2)
+{
+    return { fn::equal(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::notequal, E1, E2> operator!=(E1&& e1, E2&& e2)
+{
+    return { fn::notequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::less, E1, E2> operator<(E1&& e1, E2&& e2)
+{
+    return { fn::less(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::greater, E1, E2> operator>(E1&& e1, E2&& e2)
+{
+    return { fn::greater(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::lessorequal, E1, E2> operator<=(E1&& e1, E2&& e2)
+{
+    return { fn::lessorequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::greaterorequal, E1, E2> operator>=(E1&& e1, E2&& e2)
+{
+    return { fn::greaterorequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
+}
+
+/// @brief Returns the real part of the complex value
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::real, E1> real(E1&& x)
+{
+    return { fn::real{}, std::forward<E1>(x) };
+}
+
+/// @brief Returns the imaginary part of the complex value
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_INTRINSIC expression_function<fn::imag, E1> imag(E1&& x)
+{
+    return { fn::imag{}, std::forward<E1>(x) };
+}
+
+/// @brief Returns template expression that returns the complex conjugate of the complex number x
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::cconj, E1> cconj(E1&& x)
+{
+    return { fn::cconj(), std::forward<E1>(x) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+CMT_INTRINSIC expression_function<fn::interleave, E1, E2> interleave(E1&& x, E2&& y)
+{
+    return { fn::interleave(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns template expression that returns x if m is true, otherwise return y. Order of the arguments
+ * is same as in ternary operator.
+ */
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_FUNCTION expression_function<fn::select, E1, E2, E3> select(E1&& m, E2&& x, E3&& y)
+{
+    return { fn::select(), std::forward<E1>(m), std::forward<E2>(x), std::forward<E3>(y) };
+}
+
+/**
+ * @brief Returns template expression that returns the absolute value of x.
+ */
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::abs, E1> abs(E1&& x)
+{
+    return { fn::abs(), std::forward<E1>(x) };
+}
+
+/**
+ * @brief Returns the smaller of two values. Accepts and returns expressions.
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::min, E1, E2> min(E1&& x, E2&& y)
+{
+    return { fn::min(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns the greater of two values. Accepts and returns expressions.
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::max, E1, E2> max(E1&& x, E2&& y)
+{
+    return { fn::max(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns the smaller in magnitude of two values. Accepts and returns expressions.
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::absmin, E1, E2> absmin(E1&& x, E2&& y)
+{
+    return { fn::absmin(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/**
+ * @brief Returns the greater in magnitude of two values. Accepts and returns expressions.
+ */
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::absmax, E1, E2> absmax(E1&& x, E2&& y)
+{
+    return { fn::absmax(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Returns the largest integer value not greater than x. Accepts and returns expressions.
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::floor, E1> floor(E1&& x)
+{
+    return { fn::floor(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::ceil, E1> ceil(E1&& x)
+{
+    return { fn::ceil(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::round, E1> round(E1&& x)
+{
+    return { fn::round(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::trunc, E1> trunc(E1&& x)
+{
+    return { fn::trunc(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::fract, E1> fract(E1&& x)
+{
+    return { fn::fract(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::ifloor, E1> ifloor(E1&& x)
+{
+    return { fn::ifloor(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::iceil, E1> iceil(E1&& x)
+{
+    return { fn::iceil(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::iround, E1> iround(E1&& x)
+{
+    return { fn::iround(), std::forward<E1>(x) };
+}
+
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::itrunc, E1> itrunc(E1&& x)
+{
+    return { fn::itrunc(), std::forward<E1>(x) };
+}
+
+/// @brief Creates an expression that returns the first argument clamped to a range [lo, hi]
+template <typename E1, typename E2, typename E3, KFR_ACCEPT_EXPRESSIONS(E1, E2, E3)>
+KFR_FUNCTION expression_function<fn::clamp, E1, E2, E3> clamp(E1&& x, E2&& lo, E3&& hi)
+{
+    return { fn::clamp(), std::forward<E1>(x), std::forward<E2>(lo), std::forward<E3>(hi) };
+}
+
+/// @brief Creates an expression that returns the first argument clamped to a range [0, hi]
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_FUNCTION expression_function<fn::clamp, E1, E2> clamp(E1&& x, E2&& hi)
+{
+    return { fn::clamp(), std::forward<E1>(x), std::forward<E2>(hi) };
+}
+
+/// @brief Creates an expression that adds two arguments using saturation
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::satadd, E1, E2> satadd(E1&& x, E2&& y)
+{
+    return { fn::satadd(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+/// @brief Creates an expression that subtracts two arguments using saturation
+template <typename E1, typename E2, KFR_ACCEPT_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC expression_function<fn::satsub, E1, E2> satsub(E1&& x, E2&& y)
+{
+    return { fn::satsub(), std::forward<E1>(x), std::forward<E2>(y) };
+}
+
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator+=(E1&& e1, E2&& e2)
+{
+    process(e1, operator+(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator-=(E1&& e1, E2&& e2)
+{
+    process(e1, operator-(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator*=(E1&& e1, E2&& e2)
+{
+    process(e1, operator*(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator/=(E1&& e1, E2&& e2)
+{
+    process(e1, operator/(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator%=(E1&& e1, E2&& e2)
+{
+    process(e1, operator%(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator|=(E1&& e1, E2&& e2)
+{
+    process(e1, operator|(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator&=(E1&& e1, E2&& e2)
+{
+    process(e1, operator&(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator^=(E1&& e1, E2&& e2)
+{
+    process(e1, operator^(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator<<=(E1&& e1, E2&& e2)
+{
+    process(e1, operator<<(e1, e2));
+    return e1;
+}
+template <typename E1, typename E2, KFR_ACCEPT_ASGN_EXPRESSIONS(E1, E2)>
+KFR_INTRINSIC E1& operator>>=(E1&& e1, E2&& e2)
+{
+    process(e1, operator>>(e1, e2));
+    return e1;
+}
+
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/include/kfr/base/sort.hpp b/include/kfr/base/sort.hpp
@@ -1,103 +0,0 @@
-/** @addtogroup utility
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../math/min_max.hpp"
-#include "../simd/shuffle.hpp"
-#include "../simd/vec.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/**
- * @brief Sort the elements in the vector in ascending order
- * @param x input vector
- * @return sorted vector
- * @code
- * CHECK(sort(make_vector(1000, 1, 2, -10)) == make_vector(-10, 1, 2, 1000));
- * @endcode
- */
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> sort(const vec<T, N>& x)
-{
-    constexpr size_t Nhalf = N / 2;
-    vec<T, Nhalf> e        = low(x);
-    vec<T, Nhalf> o        = high(x);
-    constexpr auto blend0  = cconcat(csizes<1>, csizeseq<Nhalf - 1, 0, 0>);
-    for (size_t i = 0; i < Nhalf; i++)
-    {
-        vec<T, Nhalf> t;
-        t = min(e, o);
-        o = max(e, o);
-        o = rotateright<1>(o);
-        e = t;
-        t = max(e, o);
-        o = min(e, o);
-        e = t;
-        t = blend(e, o, blend0);
-        o = blend(o, e, blend0);
-        o = rotateleft<1>(o);
-        e = t;
-    }
-    return interleavehalves(concat(e, o));
-}
-
-/**
- * @brief Sort the elements in the vector in descending order
- * @param x input vector
- * @return sorted vector
- * @code
- * CHECK(sort(make_vector(1000, 1, 2, -10)) == make_vector(1000, 2, 1, -10));
- * @endcode
- */
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> sortdesc(const vec<T, N>& x)
-{
-    constexpr size_t Nhalf = N / 2;
-    vec<T, Nhalf> e        = low(x);
-    vec<T, Nhalf> o        = high(x);
-    constexpr auto blend0  = cconcat(csizes<1>, csizeseq<Nhalf - 1, 0, 0>);
-    for (size_t i = 0; i < Nhalf; i++)
-    {
-        vec<T, Nhalf> t;
-        t = max(e, o);
-        o = min(e, o);
-        o = rotateright<1>(o);
-        e = t;
-        t = min(e, o);
-        o = max(e, o);
-        e = t;
-        t = blend(e, o, blend0);
-        o = blend(o, e, blend0);
-        o = rotateleft<1>(o);
-        e = t;
-    }
-    return interleavehalves(concat(e, o));
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/base/state_holder.hpp b/include/kfr/base/state_holder.hpp
@@ -0,0 +1,49 @@
+/** @addtogroup filter
+ *  @{
+ */
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+#pragma once
+
+#include "../cident.h"
+#include <functional>
+
+namespace kfr
+{
+
+template <typename T, bool Stateless>
+struct state_holder
+{
+    constexpr state_holder()                    = delete;
+    constexpr state_holder(const state_holder&) = default;
+    constexpr state_holder(state_holder&&)      = default;
+    constexpr state_holder(const T& state) CMT_NOEXCEPT : s(state) {}
+    constexpr state_holder(std::reference_wrapper<const T> state) CMT_NOEXCEPT : s(state) {}
+    T s;
+
+    const T* operator->() const { return &s; }
+    T* operator->() { return &s; }
+    const T& operator*() const { return s; }
+    T& operator*() { return s; }
+};
+
+template <typename T>
+struct state_holder<T, true>
+{
+    constexpr state_holder()                    = delete;
+    constexpr state_holder(const state_holder&) = default;
+    constexpr state_holder(state_holder&&)      = default;
+    constexpr state_holder(T& state) CMT_NOEXCEPT : s(state) {}
+    constexpr state_holder(std::reference_wrapper<T> state) CMT_NOEXCEPT : s(state) {}
+    T& s;
+
+    const T* operator->() const { return &s; }
+    T* operator->() { return &s; }
+    const T& operator*() const { return s; }
+    T& operator*() { return s; }
+};
+
+} // namespace kfr
diff --git a/include/kfr/base/tensor.hpp b/include/kfr/base/tensor.hpp
@@ -0,0 +1,969 @@
+/** @addtogroup tensor
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include <optional>
+
+#include "../cometa/array.hpp"
+
+#include "../simd/horizontal.hpp"
+#include "../simd/impl/function.hpp"
+#include "../simd/logical.hpp"
+#include "../simd/min_max.hpp"
+#include "../simd/read_write.hpp"
+#include "../simd/types.hpp"
+#include "expression.hpp"
+#include "memory.hpp"
+#include "shape.hpp"
+
+CMT_PRAGMA_MSVC(warning(push))
+CMT_PRAGMA_MSVC(warning(disable : 4324))
+
+namespace kfr
+{
+
+namespace internal_generic
+{
+struct memory_finalizer_base
+{
+    virtual ~memory_finalizer_base() {}
+};
+template <typename Data>
+struct memory_finalizer_data : public memory_finalizer_base
+{
+    constexpr KFR_INTRINSIC memory_finalizer_data(Data&& data) : data(std::move(data)) {}
+    Data data;
+};
+template <typename Func>
+struct memory_finalizer_func : public memory_finalizer_data<Func>
+{
+    using memory_finalizer_data<Func>::memory_finalizer_data;
+    KFR_INTRINSIC ~memory_finalizer_func() { this->data(); }
+};
+} // namespace internal_generic
+
+using memory_finalizer = std::shared_ptr<internal_generic::memory_finalizer_base>;
+
+template <typename Fn>
+memory_finalizer KFR_INTRINSIC make_memory_finalizer(Fn&& fn)
+{
+    return memory_finalizer(new internal_generic::memory_finalizer_func<Fn>{ std::move(fn) });
+}
+
+template <typename T, typename Derived, typename Dims>
+struct tensor_subscript;
+
+template <typename T, typename Derived, index_t... Dims>
+struct tensor_subscript<T, Derived, std::integer_sequence<index_t, Dims...>>
+{
+    constexpr static inline size_t dims = sizeof...(Dims);
+
+    using reference       = T&;
+    using const_reference = const T&;
+
+    reference KFR_MEM_INTRINSIC operator()(type_for<index_t, Dims>... idx) const
+    {
+        return static_cast<const Derived&>(*this).access(shape<dims>{ idx... });
+    }
+};
+
+/// @brief tensor holds or references multidimensional data and
+/// provides a way to access individual elements and perform complex operations on the data.
+///
+/// The number of elements in each axis of the array is defined by its shape.
+/// @tparam T element type
+/// @tparam NDims number of dimensions
+template <typename T, index_t NDims>
+struct tensor : public tensor_subscript<T, tensor<T, NDims>, std::make_integer_sequence<index_t, NDims>>
+{
+public:
+    using value_type      = T;
+    using pointer         = T* CMT_RESTRICT;
+    using const_pointer   = const T* CMT_RESTRICT;
+    using reference       = T&;
+    using const_reference = const T&;
+    using size_type       = index_t;
+
+    constexpr static inline index_t dims = NDims;
+
+    using shape_type = kfr::shape<dims>;
+
+    /// @brief Tensor iterator. Iterates through flattened array
+    struct tensor_iterator
+    {
+        using iterator_category = std::forward_iterator_tag;
+        using difference_type   = std::ptrdiff_t;
+        using value_type        = T;
+        using pointer           = T*;
+        using reference         = T&;
+
+        const tensor* src;
+        shape_type indices;
+
+        KFR_MEM_INTRINSIC intptr_t flat_index() const { return src->calc_index(indices); }
+
+        KFR_MEM_INTRINSIC bool is_end() const { return indices.front() == internal_generic::null_index; }
+
+        KFR_MEM_INTRINSIC T& operator*() { return src->m_data[flat_index()]; }
+        KFR_MEM_INTRINSIC T* operator->() { return &operator*(); }
+
+        // prefix
+        KFR_MEM_INTRINSIC tensor_iterator& operator++()
+        {
+            if (!internal_generic::increment_indices(indices, shape_type(0), src->m_shape))
+            {
+                indices = shape_type(internal_generic::null_index);
+            }
+            return *this;
+        }
+
+        // postfix
+        KFR_MEM_INTRINSIC tensor_iterator operator++(int)
+        {
+            tensor_iterator temp = *this;
+            ++*this;
+            return temp;
+        }
+
+        KFR_MEM_INTRINSIC bool operator==(const tensor_iterator& it) const
+        {
+            return src == it.src && indices == it.indices;
+        }
+        KFR_MEM_INTRINSIC bool operator!=(const tensor_iterator& it) const { return !operator==(it); }
+    };
+
+    using iterator       = tensor_iterator;
+    using const_iterator = tensor_iterator;
+
+    using contiguous_iterator       = pointer;
+    using const_contiguous_iterator = pointer;
+
+    /// @brief Default constructor. Creates tensor with null shape
+    KFR_MEM_INTRINSIC constexpr tensor()
+        : m_data(0), m_size(0), m_is_contiguous(false), m_shape{}, m_strides{}
+    {
+    }
+
+    /// @brief Construct from external pointer, shape, strides and finalizer
+    KFR_MEM_INTRINSIC tensor(T* data, const shape_type& shape, const shape_type& strides,
+                             memory_finalizer finalizer)
+        : m_data(data), m_size(size_of_shape(shape)),
+          m_is_contiguous(strides == internal_generic::strides_for_shape(shape)), m_shape(shape),
+          m_strides(strides), m_finalizer(std::move(finalizer))
+    {
+    }
+
+    /// @brief Construct from external pointer, shape and finalizer with default strides
+    KFR_MEM_INTRINSIC tensor(T* data, const shape_type& shape, memory_finalizer finalizer)
+        : m_data(data), m_size(size_of_shape(shape)), m_is_contiguous(true), m_shape(shape),
+          m_strides(internal_generic::strides_for_shape(shape)), m_finalizer(std::move(finalizer))
+    {
+    }
+
+    KFR_INTRINSIC static T* allocate(size_t size) { return aligned_allocate<T>(size, 64); }
+
+    KFR_INTRINSIC static void deallocate(T* ptr) { aligned_deallocate(ptr); }
+
+    /// @brief Construct from shape and allocate memory
+    KFR_INTRINSIC explicit tensor(const shape_type& shape)
+        : m_size(size_of_shape(shape)), m_is_contiguous(true), m_shape(shape),
+          m_strides(internal_generic::strides_for_shape(shape))
+    {
+        T* ptr      = allocate(m_size);
+        m_data      = ptr;
+        m_finalizer = make_memory_finalizer([ptr]() { deallocate(ptr); });
+    }
+
+    /// @brief Construct from shape, strides and allocate memory
+    KFR_INTRINSIC tensor(const shape_type& shape, const shape_type& strides)
+        : m_size(size_of_shape(shape)),
+          m_is_contiguous(strides == internal_generic::strides_for_shape(shape)), m_shape(shape),
+          m_strides(strides)
+    {
+        T* ptr      = allocate(m_size);
+        m_data      = ptr;
+        m_finalizer = make_memory_finalizer([ptr]() { deallocate(ptr); });
+    }
+
+    /// @brief Construct from shape, allocate memory and fill with value
+    KFR_INTRINSIC tensor(const shape_type& shape, T value) : tensor(shape)
+    {
+        std::fill(contiguous_begin_unsafe(), contiguous_end_unsafe(), value);
+    }
+
+    /// @brief Construct from shape, strides, allocate memory and fill with value
+    KFR_INTRINSIC tensor(const shape_type& shape, const shape_type& strides, T value) : tensor(shape, strides)
+    {
+        std::fill(begin(), end(), value);
+    }
+
+    /// @brief Construct from shape, allocate memory and fill with flat list
+    KFR_INTRINSIC tensor(const shape_type& shape, const std::initializer_list<T>& values) : tensor(shape)
+    {
+        if (values.size() != m_size)
+            KFR_REPORT_LOGIC_ERROR("Invalid initializer provided for kfr::tensor");
+        std::copy(values.begin(), values.end(), contiguous_begin_unsafe());
+    }
+
+    /// @brief Initialize with braced list. Defined for 1D tensor only
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>&& dims == 1)>
+    KFR_INTRINSIC tensor(const std::initializer_list<U>& values) : tensor(shape_type(values.size()))
+    {
+        internal_generic::list_copy_recursively(values, contiguous_begin_unsafe());
+    }
+
+    /// @brief Initialize with braced list. Defined for 2D tensor only
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>&& dims == 2)>
+    KFR_INTRINSIC tensor(const std::initializer_list<std::initializer_list<U>>& values)
+        : tensor(shape_type(values.size(), values.begin()->size()))
+    {
+        internal_generic::list_copy_recursively(values, contiguous_begin_unsafe());
+    }
+
+    /// @brief Initialize with braced list. Defined for 3D tensor only
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>&& dims == 3)>
+    KFR_INTRINSIC tensor(const std::initializer_list<std::initializer_list<std::initializer_list<U>>>& values)
+        : tensor(shape_type(values.size(), values.begin()->size(), values.begin()->begin()->size()))
+    {
+        internal_generic::list_copy_recursively(values, contiguous_begin_unsafe());
+    }
+
+    /// @brief Initialize with braced list. Defined for 4D tensor only
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>&& dims == 4)>
+    KFR_INTRINSIC tensor(
+        const std::initializer_list<std::initializer_list<std::initializer_list<std::initializer_list<U>>>>&
+            values)
+        : tensor(shape_type(values.size(), values.begin()->size(), values.begin()->begin()->size(),
+                            values.begin()->begin()->begin()->size()))
+    {
+        internal_generic::list_copy_recursively(values, contiguous_begin_unsafe());
+    }
+
+    KFR_INTRINSIC tensor(const shape_type& shape, const shape_type& strides, std::initializer_list<T> values)
+        : tensor(shape, strides)
+    {
+        if (values.size() != m_size)
+            KFR_REPORT_LOGIC_ERROR("Invalid initializer provided for kfr::tensor");
+        std::copy(values.begin(), values.end(), begin());
+    }
+
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
+    KFR_MEM_INTRINSIC tensor(Input&& input) : tensor(get_shape(input))
+    {
+        static_assert(expression_traits<Input>::dims == dims);
+        process(*this, input);
+    }
+
+    KFR_INTRINSIC pointer data() const { return m_data; }
+
+    KFR_INTRINSIC size_type size() const { return m_size; }
+
+    KFR_INTRINSIC bool empty() const { return m_size == 0; }
+
+    KFR_INTRINSIC tensor_iterator begin() const
+    {
+        if (empty())
+            return tensor_iterator{ this, shape_type(internal_generic::null_index) };
+        else
+            return tensor_iterator{ this, shape_type(0) };
+    }
+    KFR_INTRINSIC tensor_iterator end() const
+    {
+        return tensor_iterator{ this, shape_type(internal_generic::null_index) };
+    }
+
+    KFR_INTRINSIC void require_contiguous() const
+    {
+        if (!m_is_contiguous)
+            KFR_REPORT_LOGIC_ERROR("Contiguous array is required");
+    }
+
+    KFR_INTRINSIC contiguous_iterator contiguous_begin() const
+    {
+        require_contiguous();
+        return m_data;
+    }
+    KFR_INTRINSIC contiguous_iterator contiguous_end() const
+    {
+        require_contiguous();
+        return m_data + m_size;
+    }
+
+    KFR_INTRINSIC contiguous_iterator contiguous_begin_unsafe() const { return m_data; }
+    KFR_INTRINSIC contiguous_iterator contiguous_end_unsafe() const { return m_data + m_size; }
+
+    KFR_MEM_INTRINSIC intptr_t calc_index(const shape_type& indices) const
+    {
+        return static_cast<intptr_t>(static_cast<signed_index_t>(indices.dot(m_strides)));
+    }
+
+    KFR_MEM_INTRINSIC reference access(const shape_type& indices) const
+    {
+        return m_data[calc_index(indices)];
+    }
+
+    KFR_MEM_INTRINSIC reference operator[](index_t flat_index) const { return m_data[flat_index]; }
+
+    KFR_MEM_INTRINSIC tensor operator()(const shape_type& start, const shape_type& stop) const
+    {
+        return tensor{
+            m_data + calc_index(start),
+            stop - start,
+            m_strides,
+            m_finalizer,
+        };
+    }
+
+#if defined(CMT_COMPILER_IS_MSVC)
+    tensor(const tensor& other)
+        : m_data(other.m_data), m_size(other.m_size), m_is_contiguous(other.m_is_contiguous),
+          m_shape(other.m_shape), m_strides(other.m_strides), m_finalizer(other.m_finalizer)
+    {
+    }
+    tensor(tensor&& other)
+        : m_data(other.m_data), m_size(other.m_size), m_is_contiguous(other.m_is_contiguous),
+          m_shape(other.m_shape), m_strides(other.m_strides), m_finalizer(std::move(other.m_finalizer))
+    {
+    }
+    tensor(tensor& other) : tensor(const_cast<const tensor&>(other)) {}
+    tensor(const tensor&& other) : tensor(static_cast<const tensor&>(other)) {}
+#else
+    tensor(const tensor&) = default;
+    tensor(tensor&&)      = default;
+    tensor(tensor& other) : tensor(const_cast<const tensor&>(other)) {}
+    tensor(const tensor&& other) : tensor(static_cast<const tensor&>(other)) {}
+#endif
+
+#if defined(CMT_COMPILER_IS_MSVC)
+    tensor& operator=(const tensor& src) &
+    {
+        this->~tensor();
+        new (this) tensor(src);
+    }
+    tensor& operator=(tensor&& src) &
+    {
+        this->~tensor();
+        new (this) tensor(std::move(src));
+    }
+#else
+    tensor& operator=(const tensor& src) & = default;
+    tensor& operator=(tensor&& src) & = default;
+#endif
+
+    KFR_MEM_INTRINSIC const tensor& operator=(const tensor& src) const&
+    {
+        assign(src);
+        return *this;
+    }
+    KFR_MEM_INTRINSIC tensor& operator=(const tensor& src) &&
+    {
+        assign(src);
+        return *this;
+    }
+    KFR_MEM_INTRINSIC const tensor& operator=(const T& scalar) const&
+    {
+        assign(scalar);
+        return *this;
+    }
+    KFR_MEM_INTRINSIC tensor& operator=(const T& scalar) &&
+    {
+        assign(scalar);
+        return *this;
+    }
+
+    KFR_MEM_INTRINSIC void assign(const tensor& src) const
+    {
+        if (src.shape() != m_shape)
+            KFR_REPORT_LOGIC_ERROR("Tensors must have same shape");
+        std::copy(src.begin(), src.end(), begin());
+    }
+    KFR_MEM_INTRINSIC void assign(const T& scalar) const { std::fill(begin(), end(), scalar); }
+
+    template <typename... Index>
+    static constexpr bool has_tensor_range = (std::is_same_v<Index, tensor_range> || ...);
+
+    KFR_MEM_INTRINSIC static void get_range(index_t& start, index_t& shape, index_t& step,
+                                            signed_index_t tsize, index_t iidx)
+    {
+        signed_index_t tstart = iidx;
+        tstart                = tstart < 0 ? tsize + tstart : tstart;
+        start                 = tstart;
+        shape                 = tstart < tsize ? 1 : 0;
+        step                  = 1;
+    }
+
+    KFR_MEM_INTRINSIC static void get_range(index_t& start, index_t& shape, index_t& step,
+                                            signed_index_t tsize, const tensor_range& iidx)
+    {
+        signed_index_t tstep = iidx.step.value_or(1);
+        signed_index_t tstart;
+        signed_index_t tstop;
+        if (tstep >= 0)
+        {
+            tstart = iidx.start.value_or(0);
+            tstop  = iidx.stop.value_or(tsize);
+        }
+        else
+        {
+            tstart = iidx.start ? *iidx.start + 1 : tsize;
+            tstop  = iidx.stop ? *iidx.stop + 1 : 0;
+        }
+        tstart = tstart < 0 ? tsize + tstart : tstart;
+        tstart = std::max(std::min(tstart, tsize), signed_index_t(0));
+        if (tstep == 0)
+        {
+            start = tstart;
+            shape = tstop - tstart;
+            step  = 0;
+        }
+        else
+        {
+            tstop = tstop < 0 ? tsize + tstop : tstop;
+            tstop = std::max(std::min(tstop, tsize), signed_index_t(0));
+            if (tstep >= 0)
+            {
+                tstop = std::max(tstop, tstart);
+                start = tstart;
+                shape = (tstop - tstart + tstep - 1) / tstep;
+                step  = tstep;
+            }
+            else
+            {
+                tstart = std::max(tstart, tstop);
+                shape  = (tstart - tstop + -tstep - 1) / -tstep;
+                start  = tstart - 1;
+                step   = tstep;
+            }
+        }
+    }
+
+    template <index_t... Num, typename... Index>
+    KFR_MEM_INTRINSIC void get_ranges(shape_type& start, shape_type& shape, shape_type& step,
+                                      cvals_t<index_t, Num...> indices, const std::tuple<Index...>& idx) const
+    {
+        cforeach(indices,
+                 [&](auto i_) CMT_INLINE_LAMBDA
+                 {
+                     constexpr index_t i  = val_of(decltype(i_)());
+                     signed_index_t tsize = static_cast<signed_index_t>(m_shape[i]);
+                     if constexpr (i < sizeof...(Index))
+                     {
+                         get_range(start[i], shape[i], step[i], tsize, std::get<i>(idx));
+                     }
+                     else
+                     {
+                         start[i] = 0;
+                         shape[i] = tsize;
+                         step[i]  = 1;
+                     }
+                 });
+    }
+
+    template <typename... Index,
+              size_t ndimOut = internal_generic::count_dimensions<Index...>() + (dims - sizeof...(Index)),
+              std::enable_if_t<has_tensor_range<Index...> || (sizeof...(Index) < dims)>* = nullptr>
+    KFR_MEM_INTRINSIC tensor<T, ndimOut> operator()(const Index&... idx) const
+    {
+        shape_type start;
+        shape_type shape;
+        shape_type step;
+        get_ranges(start, shape, step, cvalseq<index_t, dims>, std::make_tuple(idx...));
+        shape_type strides = *step * *m_strides;
+        // shape_type absstep = abs(*step);
+
+        T* data = m_data + calc_index(start);
+        // shape_type shape = ((*stop - *start) + (*absstep - 1)) / *absstep;
+
+        return tensor<T, ndimOut>{
+            data,
+            internal_generic::compact_shape<dims, ndimOut, std::is_same_v<Index, tensor_range>...>(shape),
+            internal_generic::compact_shape<dims, ndimOut, std::is_same_v<Index, tensor_range>...>(strides),
+            m_finalizer,
+        };
+    }
+
+    using tensor_subscript<T, tensor<T, NDims>, std::make_integer_sequence<index_t, NDims>>::operator();
+
+    template <index_t dims>
+    KFR_MEM_INTRINSIC tensor<T, dims> reshape_may_copy(const kfr::shape<dims>& new_shape,
+                                                       bool allow_copy = false) const
+    {
+        if (size_of_shape(new_shape) != m_size)
+        {
+            KFR_REPORT_LOGIC_ERROR("Invalid shape provided");
+        }
+        /*
+            TODO: reshape must be possible with non-contiguous arrays:
+            [256, 256, 1] -> [256, 256]
+            [256, 256] -> [256, 256, 1]
+            [256, 256] -> [256, 1, 256]
+        */
+        if (!is_contiguous())
+        {
+            if (allow_copy)
+            {
+                tensor<T, dims> result(new_shape);
+                std::copy(begin(), end(), result.contiguous_begin());
+                return result;
+            }
+            else
+            {
+                KFR_REPORT_LOGIC_ERROR("reshape requires contiguous array");
+            }
+        }
+        return tensor<T, dims>{
+            m_data,
+            new_shape,
+            internal_generic::strides_for_shape(new_shape),
+            m_finalizer,
+        };
+    }
+
+    template <index_t dims>
+    KFR_MEM_INTRINSIC tensor<T, dims> reshape(const kfr::shape<dims>& new_shape) const
+    {
+        return reshape_may_copy(new_shape, false);
+    }
+
+    KFR_MEM_INTRINSIC tensor<T, 1> flatten() const { return reshape(kfr::shape<1>{ m_size }, false); }
+
+    KFR_MEM_INTRINSIC tensor<T, 1> flatten_may_copy(bool allow_copy = false) const
+    {
+        return reshape_may_copy(kfr::shape<1>{ m_size }, allow_copy);
+    }
+
+    KFR_MEM_INTRINSIC tensor copy() const
+    {
+        tensor result(m_shape);
+        std::copy(begin(), end(), result.contiguous_begin());
+        return result;
+    }
+
+    KFR_MEM_INTRINSIC void copy_from(const tensor& other) { std::copy(other.begin(), other.end(), begin()); }
+
+    template <typename Fn>
+    KFR_MEM_INTRINSIC void iterate(Fn&& fn) const
+    {
+        auto it = begin();
+        while (it != end())
+        {
+            fn(*it, it.indices);
+            ++it;
+        }
+    }
+
+    template <typename Fn, typename Tout = std::invoke_result_t<Fn, T>>
+    KFR_MEM_INTRINSIC tensor<Tout, dims> map(Fn&& fn) const
+    {
+        return unary(std::forward<Fn>(fn));
+    }
+
+    template <typename Fn, typename Tout = std::invoke_result_t<Fn, T>>
+    KFR_MEM_INTRINSIC tensor<Tout, dims> unary(Fn&& fn) const
+    {
+        tensor<Tout, dims> result(m_shape);
+        auto dst = result.contiguous_begin_unsafe();
+        if (is_contiguous())
+        {
+            auto src = contiguous_begin_unsafe();
+            while (src != contiguous_end_unsafe())
+            {
+                *dst = fn(*src);
+                ++src;
+                ++dst;
+            }
+        }
+        else
+        {
+            auto src = begin();
+            while (src != end())
+            {
+                *dst = fn(*src);
+                ++src;
+                ++dst;
+            }
+        }
+        return result;
+    }
+
+    template <typename Fn>
+    KFR_MEM_INTRINSIC const tensor& unary_inplace(Fn&& fn) const
+    {
+        if (is_contiguous())
+        {
+            auto it = contiguous_begin_unsafe();
+            while (it != contiguous_end_unsafe())
+            {
+                *it = fn(*it);
+                ++it;
+            }
+        }
+        else
+        {
+            auto it = begin();
+            while (it != end())
+            {
+                *it = fn(*it);
+                ++it;
+            }
+        }
+        return *this;
+    }
+
+    template <typename Fn>
+    KFR_MEM_INTRINSIC T reduce(Fn&& fn, T initial = T{}) const
+    {
+        T result = initial;
+        if (is_contiguous())
+        {
+            auto src = contiguous_begin_unsafe();
+            while (src != contiguous_end_unsafe())
+            {
+                result = fn(*src, result);
+                ++src;
+            }
+        }
+        else
+        {
+            auto src = begin();
+            while (src != end())
+            {
+                result = fn(*src, result);
+                ++src;
+            }
+        }
+        return result;
+    }
+
+    template <typename Fn, typename U, typename Tout = std::invoke_result_t<Fn, T, U>>
+    KFR_MEM_INTRINSIC tensor<Tout, dims> binary(const tensor<U, dims>& rhs, Fn&& fn) const
+    {
+        tensor<Tout, dims> result(m_shape);
+        if (is_contiguous() && rhs.is_contiguous())
+        {
+            auto src1 = contiguous_begin_unsafe();
+            auto src2 = rhs.contiguous_begin_unsafe();
+            auto dst  = result.contiguous_begin_unsafe();
+            while (src1 != contiguous_end_unsafe())
+            {
+                *dst = fn(*src1, *src2);
+                ++src1;
+                ++src2;
+                ++dst;
+            }
+        }
+        else
+        {
+            auto src1 = begin();
+            auto src2 = rhs.begin();
+            auto dst  = result.contiguous_begin();
+            while (src1 != end())
+            {
+                *dst = fn(*src1, *src2);
+                ++src1;
+                ++src2;
+                ++dst;
+            }
+        }
+        return result;
+    }
+
+    template <typename Fn, typename U>
+    KFR_MEM_INTRINSIC const tensor& binary_inplace(const tensor<U, dims>& rhs, Fn&& fn) const
+    {
+        if (is_contiguous() && rhs.is_contiguous())
+        {
+            auto it   = contiguous_begin_unsafe();
+            auto src2 = rhs.contiguous_begin_unsafe();
+            while (it != contiguous_end_unsafe())
+            {
+                *it = fn(*it, *src2);
+                ++it;
+                ++src2;
+            }
+        }
+        else
+        {
+            auto it   = begin();
+            auto src2 = rhs.begin();
+            while (it != end())
+            {
+                *it = fn(*it, *src2);
+                ++it;
+                ++src2;
+            }
+        }
+        return *this;
+    }
+
+    template <typename U>
+    KFR_MEM_INTRINSIC tensor<U, dims> astype() const
+    {
+        return unary([](T value) { return static_cast<U>(value); });
+    }
+
+    template <size_t Nout>
+    KFR_MEM_INTRINSIC std::array<T, Nout> to_array() const
+    {
+        if (m_size != Nout)
+            KFR_REPORT_LOGIC_ERROR("Nout != m_size");
+        std::array<T, Nout> result;
+        if (is_contiguous())
+            std::copy(contiguous_begin(), contiguous_end(), result.begin());
+        else
+            std::copy(begin(), end(), result.begin());
+        return result;
+    }
+    struct nested_iterator_t
+    {
+        using iterator_category = std::forward_iterator_tag;
+        using difference_type   = std::ptrdiff_t;
+        using value_type        = tensor<T, dims - 1>;
+        using pointer           = const value_type*;
+        using reference         = const value_type&;
+
+        const tensor* src;
+        size_t index;
+
+        KFR_MEM_INTRINSIC value_type operator*() { return src->operator()(index); }
+        KFR_MEM_INTRINSIC pointer operator->() { return &operator*(); }
+
+        // prefix
+        KFR_MEM_INTRINSIC nested_iterator_t& operator++()
+        {
+            ++index;
+            return *this;
+        }
+
+        // postfix
+        KFR_MEM_INTRINSIC nested_iterator_t operator++(int)
+        {
+            nested_iterator_t temp = *this;
+            ++*this;
+            return temp;
+        }
+
+        KFR_MEM_INTRINSIC bool operator==(const nested_iterator_t& it) const
+        {
+            return src == it.src && index == it.index;
+        }
+        KFR_MEM_INTRINSIC bool operator!=(const nested_iterator_t& it) const { return !operator==(it); }
+    };
+
+    using nested_iterator = std::conditional_t<dims == 1, tensor_iterator, nested_iterator_t>;
+
+    KFR_MEM_INTRINSIC nested_iterator nested_begin() const
+    {
+        if constexpr (dims == 1)
+            return begin();
+        else
+            return { this, 0 };
+    }
+    KFR_MEM_INTRINSIC nested_iterator nested_end() const
+    {
+        if constexpr (dims == 1)
+            return end();
+        else
+            return { this, m_shape[0] };
+    }
+
+    KFR_MEM_INTRINSIC memory_finalizer finalizer() const { return m_finalizer; }
+
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
+    KFR_MEM_INTRINSIC const tensor& operator=(Input&& input) const&
+    {
+        process(*this, input);
+        return *this;
+    }
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
+    KFR_MEM_INTRINSIC tensor& operator=(Input&& input) &&
+    {
+        process(*this, input);
+        return *this;
+    }
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
+    KFR_MEM_INTRINSIC tensor& operator=(Input&& input) &
+    {
+        process(*this, input);
+        return *this;
+    }
+
+    bool operator==(const tensor& other) const
+    {
+        return shape() == other.shape() && std::equal(begin(), end(), other.begin());
+    }
+    bool operator!=(const tensor& other) const { return !operator==(other); }
+
+    KFR_MEM_INTRINSIC const shape_type& shape() const { return m_shape; }
+    KFR_MEM_INTRINSIC const shape_type& strides() const { return m_strides; }
+
+    KFR_MEM_INTRINSIC bool is_contiguous() const { return m_is_contiguous; }
+
+    KFR_MEM_INTRINSIC bool is_last_contiguous() const { return m_strides.back() == 1; }
+
+    template <typename Fmt = void>
+    std::string to_string(int max_columns = 16, int max_dimensions = INT_MAX, std::string separator = ", ",
+                          std::string open = "{", std::string close = "}") const
+    {
+        if constexpr (dims == 0)
+        {
+            if (empty())
+                return {};
+            else
+                return as_string(wrap_fmt(access(shape_type{}), cometa::ctype<Fmt>));
+        }
+        else
+        {
+            return cometa::array_to_string<Fmt>(
+                m_shape.template to_std_array<size_t>(),
+                [this](std::array<size_t, dims> index) CMT_INLINE_LAMBDA
+                { return access(shape_type::from_std_array(index)); },
+                max_columns, max_dimensions, std::move(separator), std::move(open), std::move(close));
+        }
+    }
+
+private:
+    template <typename Input>
+    KFR_MEM_INTRINSIC void assign_expr(Input&& input) const
+    {
+        process(*this, std::forward<Input>(input));
+    }
+
+    T* m_data;
+    const index_t m_size;
+    const bool m_is_contiguous;
+    const shape_type m_shape;
+    const shape_type m_strides;
+    memory_finalizer m_finalizer;
+};
+
+// template <typename T>
+// struct tensor<T, 0>
+// {
+// private:
+// };
+
+template <typename Container, CMT_ENABLE_IF(kfr::has_data_size<Container>),
+          typename T = typename Container::value_type>
+KFR_INTRINSIC tensor<T, 1> tensor_from_container(Container container)
+{
+    using container_finalizer = internal_generic::memory_finalizer_data<Container>;
+    memory_finalizer mem      = memory_finalizer(new container_finalizer{ std::move(container) });
+
+    Container* ptr = &static_cast<container_finalizer*>(mem.get())->data;
+
+    return tensor<T, 1>(ptr->data(), shape<1>(ptr->size()), std::move(mem));
+}
+
+template <typename T, index_t Dims>
+struct expression_traits<tensor<T, Dims>> : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = Dims;
+
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape(const tensor<T, Dims>& self)
+    {
+        return self.shape();
+    }
+    KFR_MEM_INTRINSIC constexpr static shape<dims> get_shape() { return shape<dims>{ undefined_size }; }
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const tensor<T, NDims>& self, const shape<NDims>& index,
+                                     const axis_params<Axis, N>&)
+{
+    static_assert(Axis < NDims || NDims == 0);
+    const T* data = self.data() + self.calc_index(index);
+    if constexpr (NDims == 0)
+    {
+        static_assert(N == 1);
+        return *data;
+    }
+    else
+    {
+        if (self.strides()[Axis] == 1)
+            return read<N>(data);
+        return gather_stride<N>(data, self.strides()[Axis]);
+    }
+}
+
+template <typename T, index_t NDims, index_t Axis, size_t N>
+KFR_INTRINSIC void set_elements(const tensor<T, NDims>& self, const shape<NDims>& index,
+                                const axis_params<Axis, N>&, const identity<vec<T, N>>& value)
+{
+    static_assert(Axis < NDims || NDims == 0);
+    T* data = self.data() + self.calc_index(index);
+    if constexpr (NDims == 0)
+    {
+        static_assert(N == 1);
+        *data = value.front();
+    }
+    else
+    {
+        if (self.strides()[Axis] == 1)
+            return write(data, value);
+        scatter_stride(data, value, self.strides()[Axis]);
+    }
+}
+
+template <size_t width = 0, index_t Axis = infinite_size, typename E, typename Traits = expression_traits<E>>
+tensor<typename Traits::value_type, Traits::dims> trender(const E& expr)
+{
+    static_assert(!Traits::get_shape().has_infinity());
+    shape sh = Traits::get_shape(expr);
+    tensor<typename Traits::value_type, Traits::dims> result(sh);
+    process<width, Axis>(result, expr);
+    return result;
+}
+
+template <size_t width = 0, index_t Axis = infinite_size, typename E, typename Traits = expression_traits<E>>
+tensor<typename Traits::value_type, Traits::dims> trender(const E& expr, shape<Traits::dims> size)
+{
+    shape sh = min(Traits::get_shape(expr), size);
+    tensor<typename Traits::value_type, Traits::dims> result(sh);
+    process<width, Axis>(result, expr, shape<Traits::dims>{ 0 }, sh);
+    return result;
+}
+
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
+
+namespace cometa
+{
+template <typename T, kfr::index_t dims>
+struct representation<kfr::tensor<T, dims>>
+{
+    using type = std::string;
+    static std::string get(const kfr::tensor<T, dims>& value) { return value.to_string(); }
+};
+
+} // namespace cometa
+
+CMT_PRAGMA_MSVC(warning(pop))
diff --git a/include/kfr/base/univector.hpp b/include/kfr/base/univector.hpp
@@ -1,4 +1,4 @@
-/** @addtogroup expressions
+/** @addtogroup univector
  *  @{
  */
 /*
@@ -26,10 +26,10 @@
 #pragma once
 
 #include "../cometa/array.hpp"
-
 #include "../simd/impl/function.hpp"
 #include "../simd/read_write.hpp"
 #include "../simd/types.hpp"
+#include "expression.hpp"
 #include "memory.hpp"
 
 CMT_PRAGMA_MSVC(warning(push))
@@ -56,9 +56,9 @@ struct abstract_vector : std::array<T, Size>
 };
 
 template <typename T>
-struct abstract_vector<T, tag_dynamic_vector> : std::vector<T, allocator<T>>
+struct abstract_vector<T, tag_dynamic_vector> : std::vector<T, data_allocator<T>>
 {
-    using std::vector<T, allocator<T>>::vector;
+    using std::vector<T, data_allocator<T>>::vector;
 };
 
 template <typename T>
@@ -92,47 +92,17 @@ template <typename T, typename Class, bool is_expression>
 struct univector_base;
 
 template <typename T, typename Class>
-struct univector_base<T, Class, true> : input_expression, output_expression
+struct univector_base<T, Class, true>
 {
-    using input_expression::begin_block;
-    using input_expression::end_block;
-    using output_expression::begin_block;
-    using output_expression::end_block;
-
-    template <typename U, size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t, size_t index, const vec<U, N>& value)
-    {
-        T* data = derived_cast<Class>(this)->data();
-        write(ptr_cast<T>(data) + index, vec<T, N>(value));
-    }
-
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     KFR_MEM_INTRINSIC Class& operator=(Input&& input)
     {
+        constexpr index_t dims = expression_dims<Input>;
+        static_assert(dims <= 1, "univector accepts only expressions with dims <= 1");
         assign_expr(std::forward<Input>(input));
         return *derived_cast<Class>(this);
     }
 
-#define KFR_UVEC_ASGN_OP(aop, op)                                                                            \
-    template <typename Input>                                                                                \
-    KFR_MEM_INTRINSIC Class& aop(Input&& input)                                                              \
-    {                                                                                                        \
-        assign_expr(*derived_cast<Class>(this) op std::forward<Input>(input));                               \
-        return *derived_cast<Class>(this);                                                                   \
-    }
-    KFR_UVEC_ASGN_OP(operator+=, +)
-    KFR_UVEC_ASGN_OP(operator-=, -)
-    KFR_UVEC_ASGN_OP(operator*=, *)
-    KFR_UVEC_ASGN_OP(operator/=, /)
-    KFR_UVEC_ASGN_OP(operator%=, %)
-
-    KFR_UVEC_ASGN_OP(operator&=, &)
-    KFR_UVEC_ASGN_OP(operator|=, |)
-    KFR_UVEC_ASGN_OP(operator^=, ^)
-
-    KFR_UVEC_ASGN_OP(operator<<=, <<)
-    KFR_UVEC_ASGN_OP(operator>>=, >>)
-
     /// @brief Returns subrange of the vector.
     /// If start is greater or equal to this->size, returns empty univector
     /// If requested size is greater than this->size, returns only available elements
@@ -192,7 +162,7 @@ struct univector_base<T, Class, true> : input_expression, output_expression
 
     void ringbuf_write(size_t& cursor, const T* src, size_t srcsize)
     {
-        if (srcsize == 0)
+        if (CMT_UNLIKELY(srcsize == 0))
             return;
         // skip redundant data
         const size_t size = get_size();
@@ -204,7 +174,7 @@ struct univector_base<T, Class, true> : input_expression, output_expression
         }
         const size_t fsize = size - cursor;
         // one fragment
-        if (srcsize <= fsize)
+        if (CMT_LIKELY(srcsize <= fsize))
         {
             copy(data + cursor, src, srcsize);
         }
@@ -245,7 +215,7 @@ struct univector_base<T, Class, true> : input_expression, output_expression
     }
     void ringbuf_read(size_t& cursor, T* dest, size_t destsize) const
     {
-        if (destsize == 0)
+        if (CMT_UNLIKELY(destsize == 0))
             return;
         // skip redundant data
         const size_t size = get_size();
@@ -257,7 +227,7 @@ struct univector_base<T, Class, true> : input_expression, output_expression
         }
         const size_t fsize = size - cursor;
         // one fragment
-        if (destsize <= fsize)
+        if (CMT_LIKELY(destsize <= fsize))
         {
             copy(dest, data + cursor, destsize);
         }
@@ -310,7 +280,7 @@ struct univector_base<T, Class, false>
         return array_ref<const T>(data, size);
     }
 
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     KFR_MEM_INTRINSIC Class& operator=(Input&& input)
     {
         static_assert(sizeof(Input) == 0, "Can't assign expression to non-expression");
@@ -335,7 +305,7 @@ struct alignas(platform<>::maximum_vector_alignment) univector
 #endif
     univector(const univector& v)   = default;
     univector(univector&&) noexcept = default;
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     univector(Input&& input)
     {
         this->assign_expr(std::forward<Input>(input));
@@ -348,13 +318,14 @@ struct alignas(platform<>::maximum_vector_alignment) univector
 
     constexpr univector() CMT_NOEXCEPT_SPEC(noexcept(std::array<T, Size>())) = default;
     constexpr univector(size_t, const T& value) { std::fill(this->begin(), this->end(), value); }
-    constexpr static bool size_known   = true;
-    constexpr static bool is_array     = true;
-    constexpr static bool is_array_ref = false;
-    constexpr static bool is_vector    = false;
-    constexpr static bool is_aligned   = true;
-    constexpr static bool is_pod       = kfr::is_pod<T>;
-    using value_type                   = T;
+    constexpr static bool size_known    = true;
+    constexpr static size_t static_size = Size;
+    constexpr static bool is_array      = true;
+    constexpr static bool is_array_ref  = false;
+    constexpr static bool is_vector     = false;
+    constexpr static bool is_aligned    = true;
+    constexpr static bool is_pod_like   = kfr::is_pod_like<T>;
+    using value_type                    = T;
 
     value_type get(size_t index, value_type fallback_value) const CMT_NOEXCEPT
     {
@@ -388,21 +359,28 @@ struct univector<T, tag_array_ref> : array_ref<T>,
     constexpr univector(univector<T, Tag>& other) : array_ref<T>(other.data(), other.size())
     {
     }
-    template <typename U, univector_tag Tag, KFR_ENABLE_IF(is_same<remove_const<T>, U>&& is_const<T>)>
+    template <typename U, univector_tag Tag,
+              KFR_ENABLE_IF(std::is_same_v<std::remove_const_t<T>, U>&& std::is_const_v<T>)>
     constexpr univector(const univector<U, Tag>& other) : array_ref<T>(other.data(), other.size())
     {
     }
-    template <typename U, univector_tag Tag, KFR_ENABLE_IF(is_same<remove_const<T>, U>&& is_const<T>)>
+    template <typename U, univector_tag Tag,
+              KFR_ENABLE_IF(std::is_same_v<std::remove_const_t<T>, U>&& std::is_const_v<T>)>
     constexpr univector(univector<U, Tag>& other) : array_ref<T>(other.data(), other.size())
     {
     }
+    template <typename U, univector_tag Tag,
+              KFR_ENABLE_IF(std::is_same_v<std::remove_const_t<T>, U>&& std::is_const_v<T>)>
+    constexpr univector(univector<U, Tag>&& other) : array_ref<T>(other.data(), other.size())
+    {
+    }
     void resize(size_t) CMT_NOEXCEPT {}
     constexpr static bool size_known   = false;
     constexpr static bool is_array     = false;
     constexpr static bool is_array_ref = true;
     constexpr static bool is_vector    = false;
     constexpr static bool is_aligned   = false;
-    using value_type                   = remove_const<T>;
+    using value_type                   = std::remove_const_t<T>;
 
     value_type get(size_t index, value_type fallback_value) const CMT_NOEXCEPT
     {
@@ -415,33 +393,44 @@ struct univector<T, tag_array_ref> : array_ref<T>,
 
 template <typename T>
 struct univector<T, tag_dynamic_vector>
-    : std::vector<T, allocator<T>>, univector_base<T, univector<T, tag_dynamic_vector>, is_vec_element<T>>
+    : std::vector<T, data_allocator<T>>,
+      univector_base<T, univector<T, tag_dynamic_vector>, is_vec_element<T>>
 {
-    using std::vector<T, allocator<T>>::size;
-    using std::vector<T, allocator<T>>::vector;
+    using std::vector<T, data_allocator<T>>::size;
+    using std::vector<T, data_allocator<T>>::vector;
     using size_type = size_t;
 #if !defined CMT_COMPILER_MSVC || defined CMT_COMPILER_CLANG
     univector(univector& v) : univector(const_cast<const univector&>(v)) {}
 #endif
     univector(const univector& v)   = default;
     univector(univector&&) noexcept = default;
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     univector(Input&& input)
     {
         static_assert(!is_infinite<Input>, "Dynamically sized vector requires finite input expression");
-        this->resize(input.size());
+        constexpr index_t dims = expression_dims<Input>;
+        static_assert(dims <= 1, "univector accepts only expressions with dims <= 1");
+        if constexpr (dims > 0)
+        {
+            this->resize(get_shape(input).front());
+        }
         this->assign_expr(std::forward<Input>(input));
     }
-    constexpr univector() CMT_NOEXCEPT_SPEC(noexcept(std::vector<T, allocator<T>>())) = default;
-    constexpr univector(const std::vector<T, allocator<T>>& other) : std::vector<T, allocator<T>>(other) {}
-    constexpr univector(std::vector<T, allocator<T>>&& other) : std::vector<T, allocator<T>>(std::move(other))
+    constexpr univector() CMT_NOEXCEPT_SPEC(noexcept(std::vector<T, data_allocator<T>>())) = default;
+    constexpr univector(const std::vector<T, data_allocator<T>>& other)
+        : std::vector<T, data_allocator<T>>(other)
     {
     }
-    constexpr univector(const array_ref<T>& other) : std::vector<T, allocator<T>>(other.begin(), other.end())
+    constexpr univector(std::vector<T, data_allocator<T>>&& other)
+        : std::vector<T, data_allocator<T>>(std::move(other))
+    {
+    }
+    constexpr univector(const array_ref<T>& other)
+        : std::vector<T, data_allocator<T>>(other.begin(), other.end())
     {
     }
     constexpr univector(const array_ref<const T>& other)
-        : std::vector<T, allocator<T>>(other.begin(), other.end())
+        : std::vector<T, data_allocator<T>>(other.begin(), other.end())
     {
     }
     template <typename Allocator>
@@ -461,16 +450,47 @@ struct univector<T, tag_dynamic_vector>
     }
     using univector_base<T, univector, is_vec_element<T>>::operator=;
     univector& operator=(const univector&) = default;
-    template <typename Input, KFR_ENABLE_IF(is_input_expression<Input>)>
+    template <typename Input, KFR_ACCEPT_EXPRESSIONS(Input)>
     KFR_MEM_INTRINSIC univector& operator=(Input&& input)
     {
-        if (input.size() != infinite_size)
-            this->resize(input.size());
+        constexpr index_t dims = expression_dims<Input>;
+        static_assert(dims <= 1, "univector accepts only expressions with dims <= 1");
+        if constexpr (dims > 0)
+        {
+            if (get_shape(input).front() != infinite_size)
+                this->resize(get_shape(input).front());
+        }
         this->assign_expr(std::forward<Input>(input));
         return *this;
     }
 };
 
+template <typename T, univector_tag Tag>
+struct expression_traits<univector<T, Tag>> : public expression_traits_defaults
+{
+    using value_type             = std::remove_const_t<T>;
+    constexpr static size_t dims = 1;
+    constexpr static shape<dims> get_shape(const univector<T, Tag>& u) { return shape<1>(u.size()); }
+    constexpr static shape<dims> get_shape()
+    {
+        if constexpr (univector<T, Tag>::size_known)
+            return shape<1>{ univector<T, Tag>::static_size };
+        else
+            return shape<1>{ undefined_size };
+    }
+};
+
+template <typename T, univector_tag T1, univector_tag T2>
+KFR_FUNCTION bool operator==(const univector<T, T1>& x, const univector<T, T2>& y)
+{
+    return std::equal(x.begin(), x.end(), y.begin(), y.end());
+}
+template <typename T, univector_tag T1, univector_tag T2>
+KFR_FUNCTION bool operator!=(const univector<T, T1>& x, const univector<T, T2>& y)
+{
+    return !operator==(x, y);
+}
+
 /// @brief Alias for ``univector<T, tag_array_ref>``;
 template <typename T>
 using univector_ref = univector<T, tag_array_ref>;
@@ -597,27 +617,37 @@ private:
 inline namespace CMT_ARCH_NAME
 {
 
-template <typename T, univector_tag Tag, typename U, size_t N>
-KFR_INTRINSIC vec<U, N> get_elements(const univector<T, Tag>& self, cinput_t, size_t index, vec_shape<U, N>)
+template <typename T, univector_tag Tag, size_t N>
+KFR_INTRINSIC vec<std::remove_const_t<T>, N> get_elements(const univector<T, Tag>& self,
+                                                          const shape<1>& index, const axis_params<0, N>&)
 {
     const T* data = self.data();
-    return static_cast<vec<U, N>>(read<N>(ptr_cast<T>(data) + index));
+    return read<N>(ptr_cast<T>(data) + index.front());
+}
+
+template <typename T, univector_tag Tag, size_t N, KFR_ENABLE_IF(!std::is_const_v<T>)>
+KFR_INTRINSIC void set_elements(univector<T, Tag>& self, const shape<1>& index, const axis_params<0, N>&,
+                                const identity<vec<T, N>>& value)
+{
+    T* data = self.data();
+    write(ptr_cast<T>(data) + index.front(), value);
 }
 
 /// @brief Converts an expression to univector
-template <typename Expr, typename T = value_type_of<Expr>>
+template <typename Expr, typename T = expression_value_type<Expr>>
 KFR_INTRINSIC univector<T> render(Expr&& expr)
 {
+    static_assert(expression_dims<Expr> == 1);
     static_assert(!is_infinite<Expr>,
                   "render: Can't process infinite expressions. Pass size as a second argument to render.");
     univector<T> result;
-    result.resize(expr.size());
+    result.resize(get_shape(expr).front());
     result = expr;
     return result;
 }
 
 /// @brief Converts an expression to univector
-template <typename Expr, typename T = value_type_of<Expr>>
+template <typename Expr, typename T = expression_value_type<Expr>>
 KFR_INTRINSIC univector<T> render(Expr&& expr, size_t size, size_t offset = 0)
 {
     univector<T> result;
@@ -627,7 +657,7 @@ KFR_INTRINSIC univector<T> render(Expr&& expr, size_t size, size_t offset = 0)
 }
 
 /// @brief Converts an expression to univector
-template <typename Expr, size_t Size, typename T = value_type_of<Expr>>
+template <typename Expr, size_t Size, typename T = expression_value_type<Expr>>
 KFR_INTRINSIC univector<T, Size> render(Expr&& expr, csize_t<Size>)
 {
     univector<T, Size> result;
@@ -637,4 +667,28 @@ KFR_INTRINSIC univector<T, Size> render(Expr&& expr, csize_t<Size>)
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
 
+namespace cometa
+{
+template <typename T, kfr::univector_tag Tag>
+struct representation<kfr::univector<T, Tag>>
+{
+    using type = std::string;
+    static std::string get(const kfr::univector<T, Tag>& value)
+    {
+        return array_to_string(value.size(), value.data());
+    }
+};
+
+template <char t, int width, int prec, typename T, kfr::univector_tag Tag>
+struct representation<fmt_t<kfr::univector<T, Tag>, t, width, prec>>
+{
+    using type = std::string;
+    static std::string get(const fmt_t<kfr::univector<T, Tag>, t, width, prec>& value)
+    {
+        return array_to_string<fmt_t<T, t, width, prec>>(value.size(), value.data());
+    }
+};
+
+} // namespace cometa
+
 CMT_PRAGMA_MSVC(warning(pop))
diff --git a/include/kfr/capi.h b/include/kfr/capi.h
@@ -238,7 +238,7 @@ typedef double kfr_c64;
                                              size_t size);
     KFR_API_SPEC void kfr_filter_process_f64(KFR_FILTER_F64* plan, kfr_f64* output, const kfr_f64* input,
                                              size_t size);
-                                             
+
     KFR_API_SPEC void kfr_filter_reset_f32(KFR_FILTER_F32* plan);
     KFR_API_SPEC void kfr_filter_reset_f64(KFR_FILTER_F64* plan);
 
diff --git a/include/kfr/cident.h b/include/kfr/cident.h
@@ -306,6 +306,7 @@ extern char* gets(char* __s);
 #define CMT_COMPILER_MSVC 1
 #define CMT_MSVC_ATTRIBUTES 1
 #define CMT_MSC_VER _MSC_VER
+#define CMT_COMPILER_IS_MSVC 1
 #else
 #define CMT_MSC_VER 0
 #endif
@@ -343,31 +344,74 @@ extern char* gets(char* __s);
 #endif
 #endif
 
+#if defined _MSC_VER && !defined(__clang__) && !defined(CMT_FORCE_INLINE_MSVC)
+#define CMT_NO_FORCE_INLINE 1
+#endif
+
+#if defined(CMT_COMPILER_INTEL) || defined(CMT_COMPILER_CLANG)
+#ifdef CMT_COMPILER_IS_MSVC
+#undef CMT_COMPILER_IS_MSVC
+#endif
+#endif
+
 #if defined(CMT_GNU_ATTRIBUTES)
 
 #define CMT_NODEBUG
-// __attribute__((__nodebug__))
 
-// GCC 9 broke attributes on lambdas.
-#if defined(NDEBUG) && (!defined(__GNUC__) || __GNUC__ != 9)
+#ifndef CMT_NO_FORCE_INLINE
 #define CMT_ALWAYS_INLINE __attribute__((__always_inline__))
 #else
 #define CMT_ALWAYS_INLINE
 #endif
-#define CMT_INLINE __inline__ CMT_ALWAYS_INLINE
-#define CMT_INLINE_MEMBER CMT_ALWAYS_INLINE
+
+#ifdef NDEBUG
+#define CMT_INLINE_IN_RELEASE CMT_ALWAYS_INLINE
+#else
+#define CMT_INLINE_IN_RELEASE
+#endif
+
+#define CMT_INLINE __inline__ CMT_INLINE_IN_RELEASE
+#define CMT_INLINE_MEMBER CMT_INLINE_IN_RELEASE
+#if defined(CMT_COMPILER_GCC) &&                                                                             \
+    (CMT_GCC_VERSION >= 900 && CMT_GCC_VERSION < 904 || CMT_GCC_VERSION >= 1000 && CMT_GCC_VERSION < 1002)
+// Workaround for GCC 9/10 bug https://gcc.gnu.org/bugzilla/show_bug.cgi?id=90333
+#define CMT_INLINE_LAMBDA
+#else
 #define CMT_INLINE_LAMBDA CMT_INLINE_MEMBER
+#endif
 #define CMT_NOINLINE __attribute__((__noinline__))
+#ifndef CMT_NO_FORCE_INLINE
 #define CMT_FLATTEN __attribute__((__flatten__))
+#else
+#define CMT_FLATTEN
+#endif
 #define CMT_RESTRICT __restrict__
 
+#define CMT_LIKELY(...) __builtin_expect(!!(__VA_ARGS__), 1)
+#define CMT_UNLIKELY(...) __builtin_expect(!!(__VA_ARGS__), 0)
+
 #elif defined(CMT_MSVC_ATTRIBUTES)
 
+#ifndef CMT_NO_FORCE_INLINE
+#if _MSC_VER >= 1927 && _MSVC_LANG >= 202002L
+#define CMT_ALWAYS_INLINE [[msvc::forceinline]]
+#else
 #define CMT_ALWAYS_INLINE __forceinline
+#endif
+#else
+#define CMT_ALWAYS_INLINE
+#endif
+
+#ifdef NDEBUG
+#define CMT_INLINE_IN_RELEASE CMT_ALWAYS_INLINE
+#else
+#define CMT_INLINE_IN_RELEASE
+#endif
+
 #define CMT_NODEBUG
-#define CMT_INLINE /*inline*/ __forceinline
-#define CMT_INLINE_MEMBER __forceinline
-#if _MSC_VER >= 1927
+#define CMT_INLINE inline CMT_INLINE_IN_RELEASE
+#define CMT_INLINE_MEMBER CMT_INLINE_IN_RELEASE
+#if _MSC_VER >= 1927 && _MSVC_LANG >= 202002L
 #define CMT_INLINE_LAMBDA [[msvc::forceinline]]
 #else
 #define CMT_INLINE_LAMBDA
@@ -376,6 +420,9 @@ extern char* gets(char* __s);
 #define CMT_FLATTEN
 #define CMT_RESTRICT __restrict
 
+#define CMT_LIKELY(...) (__VA_ARGS__)
+#define CMT_UNLIKELY(...) (__VA_ARGS__)
+
 #endif
 
 #define CMT_INTRINSIC CMT_INLINE CMT_NODEBUG
@@ -426,13 +473,15 @@ extern char* gets(char* __s);
 #define CMT_HAS_BUILTIN(builtin) 0
 #endif
 
-#if CMT_HAS_BUILTIN(CMT_ASSUME)
-#define CMT_ASSUME(x) __builtin_assume(x)
-#else
-#define CMT_ASSUME(x)                                                                                        \
+#define CMT_NOOP                                                                                             \
     do                                                                                                       \
     {                                                                                                        \
     } while (0)
+
+#if CMT_HAS_BUILTIN(CMT_ASSUME)
+#define CMT_ASSUME(x) __builtin_assume(x)
+#else
+#define CMT_ASSUME(x) CMT_NOOP
 #endif
 
 #if CMT_HAS_BUILTIN(CMT_ASSUME)
@@ -552,6 +601,8 @@ extern char* gets(char* __s);
 #endif
 #endif
 
+#define CMT_PRAGMA(...) _Pragma(#__VA_ARGS__)
+
 #if defined(CMT_GNU_ATTRIBUTES)
 #define CMT_FAST_CC __attribute__((fastcall))
 #define CMT_UNUSED __attribute__((unused))
@@ -780,4 +831,4 @@ extern char* gets(char* __s);
     {                                                                                                        \
     __VA_ARGS__                                                                                              \
     }
-#endif
-\ No newline at end of file
+#endif
diff --git a/include/kfr/cometa.hpp b/include/kfr/cometa.hpp
@@ -23,6 +23,7 @@ CMT_PRAGMA_GNU(GCC diagnostic ignored "-Wdeprecated-declarations")
 
 CMT_PRAGMA_MSVC(warning(push))
 CMT_PRAGMA_MSVC(warning(disable : 4814))
+CMT_PRAGMA_MSVC(warning(disable : 4308))
 CMT_PRAGMA_MSVC(warning(disable : 4014))
 
 namespace cometa
@@ -31,62 +32,50 @@ namespace cometa
 using std::ptrdiff_t;
 using std::size_t;
 
-#if __cplusplus >= 201103L || CMT_MSC_VER >= 1900 || CMT_HAS_FEATURE(cxx_constexpr)
-
 template <typename T, size_t N>
-constexpr inline static size_t arraysize(const T (&)[N]) CMT_NOEXCEPT
+constexpr CMT_INTRINSIC static size_t arraysize(const T (&)[N]) CMT_NOEXCEPT
 {
     return N;
 }
 
 template <typename T, size_t N>
-constexpr inline static std::integral_constant<size_t, N> carraysize(const T (&)[N]) CMT_NOEXCEPT
+constexpr CMT_INTRINSIC static std::integral_constant<size_t, N> carraysize(const T (&)[N]) CMT_NOEXCEPT
 {
     return {};
 }
 
-#define CMT_ARRAYSIZE(arr) decltype(carraysize(arr))::value
-#elif CMT_COMPILER_MSVC
-#define CMT_ARRAYSIZE(arr) _countof(arr)
-#elif __cplusplus >= 199711L &&                                                                              \
-    (defined(__INTEL_COMPILER) || defined(__clang__) ||                                                      \
-     (defined(__GNUC__) && ((__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 4))))
-template <typename T, size_t N>
-char (&COUNTOF_REQUIRES_ARRAY_ARGUMENT(T (&)[N]))[N];
-#define CMT_ARRAYSIZE(x) sizeof(COUNTOF_REQUIRES_ARRAY_ARGUMENT(x))
-#else
-#define CMT_ARRAYSIZE(arr) sizeof(arr) / sizeof(arr[0])
-#endif
-
 using pvoid      = void*;
 using pconstvoid = const void*;
 
+#ifdef CMT_CPP17_DEFINITIONS
 template <typename...>
 using void_t = void;
+#endif
 
 namespace details
 {
-constexpr inline bool args_or() { return false; }
+constexpr CMT_INTRINSIC bool args_or() { return false; }
 template <typename... Ts>
-constexpr inline bool args_or(bool x, Ts... rest)
+constexpr CMT_INTRINSIC bool args_or(bool x, Ts... rest)
 {
     return x || args_or(rest...);
 }
 
-constexpr inline bool args_and() { return true; }
+constexpr CMT_INTRINSIC bool args_and() { return true; }
 template <typename... Ts>
-constexpr inline bool args_and(bool x, Ts... rest)
+constexpr CMT_INTRINSIC bool args_and(bool x, Ts... rest)
 {
     return x && args_and(rest...);
 }
 
 template <typename T, typename Enable = void>
-struct is_pod_impl : std::false_type
+struct is_pod_like_impl : std::false_type
 {
 };
 
 template <typename T>
-struct is_pod_impl<T, void_t<decltype(T::is_pod)>> : std::integral_constant<bool, T::is_pod>
+struct is_pod_like_impl<T, std::void_t<decltype(T::is_pod_like)>>
+    : std::integral_constant<bool, T::is_pod_like>
 {
 };
 
@@ -114,6 +103,7 @@ struct and_t_impl<T, Ts...> : std::integral_constant<bool, T::value && and_t_imp
 
 constexpr size_t max_size_t = size_t(-1);
 
+#ifdef CMT_CPP17_DEFINITIONS
 template <typename... T>
 using common_type = typename std::common_type<T...>::type;
 
@@ -150,9 +140,6 @@ template <typename T>
 using underlying_type = typename std::underlying_type<T>::type;
 
 template <typename T>
-constexpr inline bool is_pod = std::is_pod<T>::value || details::is_pod_impl<T>::value;
-
-template <typename T>
 constexpr inline bool is_class = std::is_class<T>::value;
 
 template <typename T>
@@ -200,10 +187,18 @@ constexpr inline bool is_template_arg = std::is_integral<T>::value || std::is_en
 template <typename T>
 using decay = typename std::decay<T>::type;
 
+#endif
+
+template <typename T1, typename T2>
+using or_type = std::conditional_t<std::is_same_v<T1, void>, T2, T1>;
+
+template <typename T>
+constexpr inline bool is_pod_like = std::is_pod_v<T> || details::is_pod_like_impl<T>::value;
+
 template <typename T1, typename T2 = void, typename... Ts>
 constexpr size_t typeindex()
 {
-    return is_same<T1, T2>() ? 0 : 1 + typeindex<T1, Ts...>();
+    return std::is_same_v<T1, T2>() ? 0 : 1 + typeindex<T1, Ts...>();
 }
 
 template <typename T>
@@ -221,7 +216,7 @@ struct compound_type_traits
     template <typename U>
     using deep_rebind = U;
 
-    CMT_INLINE static constexpr const subtype& at(const T& value, size_t /*index*/) { return value; }
+    CMT_MEM_INTRINSIC static constexpr const subtype& at(const T& value, size_t /*index*/) { return value; }
 };
 
 template <typename T>
@@ -232,11 +227,11 @@ constexpr size_t widthof(T)
 template <typename T>
 constexpr size_t widthof()
 {
-    return compound_type_traits<decay<T>>::width;
+    return compound_type_traits<std::decay_t<T>>::width;
 }
 
 template <typename T>
-constexpr inline bool is_compound = !compound_type_traits<decay<T>>::is_scalar;
+constexpr inline bool is_compound_type = !compound_type_traits<std::decay_t<T>>::is_scalar;
 
 template <typename T>
 using subtype = typename compound_type_traits<T>::subtype;
@@ -244,13 +239,6 @@ using subtype = typename compound_type_traits<T>::subtype;
 template <typename T>
 using deep_subtype = typename compound_type_traits<T>::deep_subtype;
 
-/*template <typename T, typename SubType>
-using rebind_subtype = typename compound_type_traits<T>::template rebind<SubType>;
-
-template <typename T, typename SubType>
-using deep_rebind = typename compound_type_traits<T>::template deep_rebind<SubType>;
- */
-
 template <typename T>
 struct compound_type_traits<std::pair<T, T>>
 {
@@ -267,7 +255,8 @@ struct compound_type_traits<std::pair<T, T>>
     using deep_rebind = std::pair<typename compound_type_traits<subtype>::template deep_rebind<U>,
                                   typename compound_type_traits<subtype>::template deep_rebind<U>>;
 
-    CMT_INLINE static constexpr const subtype& at(const std::pair<subtype, subtype>& value, size_t index)
+    CMT_MEM_INTRINSIC static constexpr const subtype& at(const std::pair<subtype, subtype>& value,
+                                                         size_t index)
     {
         return index == 0 ? value.first : value.second;
     }
@@ -277,35 +266,35 @@ template <typename T, T val>
 struct cval_t
 {
     constexpr static T value = val;
-    constexpr cval_t() CMT_NOEXCEPT {}
-    constexpr cval_t(const cval_t&) CMT_NOEXCEPT = default;
-    constexpr cval_t(cval_t&&) CMT_NOEXCEPT      = default;
+    constexpr CMT_MEM_INTRINSIC cval_t() CMT_NOEXCEPT {}
+    constexpr CMT_MEM_INTRINSIC cval_t(const cval_t&) CMT_NOEXCEPT = default;
+    constexpr CMT_MEM_INTRINSIC cval_t(cval_t&&) CMT_NOEXCEPT      = default;
     typedef T value_type;
     typedef cval_t type;
-    constexpr operator value_type() const { return value; }
-    constexpr value_type operator()() const { return value; }
+    constexpr CMT_MEM_INTRINSIC operator value_type() const { return value; }
+    constexpr CMT_MEM_INTRINSIC value_type operator()() const { return value; }
 };
 
 template <typename T, T value>
-constexpr inline T val_of(cval_t<T, value>)
+constexpr CMT_INTRINSIC T val_of(cval_t<T, value>)
 {
     return value;
 }
 
 template <typename T>
-constexpr inline T val_of(T value)
+constexpr CMT_INTRINSIC T val_of(T value)
 {
     return value;
 }
 
 template <typename T>
-constexpr inline bool is_constant_val(T)
+constexpr CMT_INTRINSIC bool is_constant_val(T)
 {
     return false;
 }
 
 template <typename T, T value>
-constexpr inline bool is_constant_val(cval_t<T, value>)
+constexpr CMT_INTRINSIC bool is_constant_val(cval_t<T, value>)
 {
     return true;
 }
@@ -324,7 +313,7 @@ struct is_inheritable_impl : std::false_type
 };
 
 template <typename T>
-struct is_inheritable_impl<T, void_t<inherit<T>>> : std::true_type
+struct is_inheritable_impl<T, std::void_t<inherit<T>>> : std::true_type
 {
 };
 
@@ -402,33 +391,33 @@ struct get_nth_type<index>
 template <typename T, T... values>
 struct cvals_t
 {
-    constexpr cvals_t() CMT_NOEXCEPT = default;
+    constexpr CMT_MEM_INTRINSIC cvals_t() CMT_NOEXCEPT = default;
 
     using type = cvals_t<T, values...>;
-    constexpr static size_t size() { return sizeof...(values); }
+    constexpr CMT_MEM_INTRINSIC static size_t size() { return sizeof...(values); }
     template <size_t index>
-    constexpr T operator[](csize_t<index>) const
+    constexpr CMT_MEM_INTRINSIC T operator[](csize_t<index>) const
     {
         return get(csize_t<index>());
     }
     template <size_t index>
-    constexpr static T get(csize_t<index> = csize_t<index>())
+    constexpr CMT_MEM_INTRINSIC static T get(csize_t<index> = csize_t<index>())
     {
         return details::get_nth<index, T, values...>::value;
     }
-    constexpr static T front() { return get(csize_t<0>()); }
-    constexpr static T back() { return get(csize_t<size() - 1>()); }
+    constexpr CMT_MEM_INTRINSIC static T front() { return get(csize_t<0>()); }
+    constexpr CMT_MEM_INTRINSIC static T back() { return get(csize_t<size() - 1>()); }
 
-    static const T* begin() { return array(); }
-    static const T* end() { return array() + size(); }
+    static CMT_MEM_INTRINSIC const T* begin() { return array(); }
+    static CMT_MEM_INTRINSIC const T* end() { return array() + size(); }
 
-    static const T* array()
+    static CMT_MEM_INTRINSIC const T* array()
     {
         static const T arr[] = { values... };
         return &arr[0];
     }
     template <size_t... indices>
-    constexpr cvals_t<T, details::get_nth_e<indices, type>::value...> operator[](
+    constexpr CMT_MEM_INTRINSIC cvals_t<T, details::get_nth_e<indices, type>::value...> operator[](
         cvals_t<size_t, indices...>) const
     {
         //        static_assert(sizeof(T)==0, "+++++++++++++++++++++++++++++");
@@ -437,20 +426,20 @@ struct cvals_t
 
     // MSVC requires static_cast<T> here:
     template <typename Fn>
-    constexpr auto map(Fn&&) const -> cvals_t<T, static_cast<T>(Fn()(values))...>
+    constexpr CMT_MEM_INTRINSIC auto map(Fn&&) const -> cvals_t<T, static_cast<T>(Fn()(values))...>
     {
         return {};
     }
 
-    constexpr bool equal(cvals_t<T, values...>) const noexcept { return true; }
+    constexpr CMT_MEM_INTRINSIC bool equal(cvals_t<T, values...>) const noexcept { return true; }
     template <T... values2>
-    constexpr bool equal(cvals_t<T, values2...>) const noexcept
+    constexpr CMT_MEM_INTRINSIC bool equal(cvals_t<T, values2...>) const noexcept
     {
         return false;
     }
 
     template <T... values2>
-    constexpr bool notequal(cvals_t<T, values...> ind) const noexcept
+    constexpr CMT_MEM_INTRINSIC bool notequal(cvals_t<T, values...> ind) const noexcept
     {
         return !equal(ind);
     }
@@ -460,11 +449,18 @@ template <typename T>
 struct cvals_t<T>
 {
     using type = cvals_t<T>;
-    constexpr static size_t size() { return 0; }
+    constexpr CMT_MEM_INTRINSIC static size_t size() { return 0; }
 
-    static const T* array() { return nullptr; }
+    static CMT_MEM_INTRINSIC const T* array() { return nullptr; }
 };
 
+template <typename T, bool... flags, T... values1, T... values2>
+constexpr cvals_t<T, (flags ? values1 : values2)...> select(cvals_t<bool, flags...>, cvals_t<T, values1...>,
+                                                            cvals_t<T, values2...>)
+{
+    return {};
+}
+
 namespace details
 {
 template <size_t index, typename T, T... vals>
@@ -495,25 +491,25 @@ template <size_t... values>
 using elements_t = cvals_t<size_t, values...>;
 
 template <typename T>
-constexpr inline T csum(cvals_t<T> = cvals_t<T>())
+constexpr CMT_INTRINSIC T csum(cvals_t<T> = cvals_t<T>())
 {
     return 0;
 }
 
 template <typename T, T first, T... rest>
-constexpr inline T csum(cvals_t<T, first, rest...> = cvals_t<T, first, rest...>())
+constexpr CMT_INTRINSIC T csum(cvals_t<T, first, rest...> = cvals_t<T, first, rest...>())
 {
     return first + csum(cvals_t<T, rest...>());
 }
 
 template <typename T>
-constexpr inline T cprod(cvals_t<T>)
+constexpr CMT_INTRINSIC T cprod(cvals_t<T>)
 {
     return 1;
 }
 
 template <typename T, T first, T... rest>
-constexpr inline T cprod(cvals_t<T, first, rest...>)
+constexpr CMT_INTRINSIC T cprod(cvals_t<T, first, rest...>)
 {
     return first * cprod(cvals_t<T, rest...>());
 }
@@ -574,6 +570,7 @@ struct concat_impl<T1, T2, T3, Ts...>
     using type = typename concat_impl<typename concat_impl<T1, T2>::type, T3, Ts...>::type;
 };
 
+#ifdef CMT_CPP17_DEFINITIONS
 template <typename Fn, typename Args, typename enable = void>
 struct is_invocable_impl : std::false_type
 {
@@ -594,19 +591,22 @@ template <typename Ret, typename Fn, typename... Args>
 struct is_invocable_r_impl<Ret, Fn, ctypes_t<Args...>,
                            void_t<decltype(std::declval<Fn>()(std::declval<Args>()...))>>
 {
-    static constexpr bool value = is_convertible<decltype(std::declval<Fn>()(std::declval<Args>()...)), Ret>;
+    static constexpr bool value =
+        std::is_convertible_v<decltype(std::declval<Fn>()(std::declval<Args>()...)), Ret>;
 };
+#endif
 
 } // namespace details
 template <typename T1, typename... Ts>
-using concat_lists = typename details::concat_impl<decay<T1>, decay<Ts>...>::type;
+using concat_lists = typename details::concat_impl<std::decay_t<T1>, std::decay_t<Ts>...>::type;
 
 template <typename T1, typename... Ts>
-constexpr inline concat_lists<T1, Ts...> cconcat(T1, Ts...)
+constexpr CMT_INTRINSIC concat_lists<T1, Ts...> cconcat(T1, Ts...)
 {
     return {};
 }
 
+#ifdef CMT_CPP17_DEFINITIONS
 #ifdef __cpp_lib_is_invocable
 template <typename Fn, typename... Args>
 constexpr inline bool is_invocable = std::is_invocable<Fn, Args...>::value;
@@ -620,6 +620,7 @@ constexpr inline bool is_invocable = details::is_invocable_impl<Fn, ctypes_t<Arg
 template <typename Ret, typename Fn, typename... Args>
 constexpr inline bool is_invocable_r = details::is_invocable_r_impl<Ret, Fn, ctypes_t<Args...>>::value;
 #endif
+#endif
 
 namespace details
 {
@@ -661,7 +662,7 @@ template <typename T, T value, T... values, bool flag, bool... flags>
 struct filter_impl<cvals_t<T, value, values...>, cvals_t<bool, flag, flags...>>
 {
     using filtered = typename filter_impl<cvals_t<T, values...>, cvals_t<bool, flags...>>::type;
-    using type     = conditional<flag, concat_lists<cvals_t<T, value>, filtered>, filtered>;
+    using type     = std::conditional_t<flag, concat_lists<cvals_t<T, value>, filtered>, filtered>;
 };
 } // namespace details
 
@@ -672,11 +673,11 @@ template <typename Fn>
 using function_result = typename details::function_arguments_impl<decltype(&Fn::operator())>::result;
 
 template <typename T1, typename T2>
-using cfilter_t = typename details::filter_impl<decay<T1>, decay<T2>>::type;
+using cfilter_t = typename details::filter_impl<std::decay_t<T1>, std::decay_t<T2>>::type;
 
 template <typename T, T... vals, bool... flags,
           typename Ret = cfilter_t<cvals_t<T, vals...>, cvals_t<bool, flags...>>>
-constexpr inline Ret cfilter(cvals_t<T, vals...>, cvals_t<bool, flags...>)
+constexpr CMT_INTRINSIC Ret cfilter(cvals_t<T, vals...>, cvals_t<bool, flags...>)
 {
     return Ret{};
 }
@@ -684,12 +685,12 @@ constexpr inline Ret cfilter(cvals_t<T, vals...>, cvals_t<bool, flags...>)
 #define CMT_UN_OP(op)                                                                                        \
     template <typename T1, T1... vals1,                                                                      \
               typename Ret = cvals_t<decltype(op std::declval<T1>()), (op vals1)...>>                        \
-    constexpr inline Ret operator op(cvals_t<T1, vals1...>)                                                  \
+    constexpr CMT_INTRINSIC Ret operator op(cvals_t<T1, vals1...>)                                           \
     {                                                                                                        \
         return Ret{};                                                                                        \
     }                                                                                                        \
     template <typename T1, T1 val1, typename Ret = cval_t<decltype(op std::declval<T1>()), (op val1)>>       \
-    constexpr inline Ret operator op(cval_t<T1, val1>)                                                       \
+    constexpr CMT_INTRINSIC Ret operator op(cval_t<T1, val1>)                                                \
     {                                                                                                        \
         return Ret{};                                                                                        \
     }
@@ -698,25 +699,25 @@ constexpr inline Ret cfilter(cvals_t<T, vals...>, cvals_t<bool, flags...>)
     template <typename T1, T1... vals1, typename T2, T2... vals2,                                            \
               typename Ret =                                                                                 \
                   cvals_t<decltype(std::declval<T1>() op std::declval<T2>()), (vals1 op vals2)...>>          \
-    constexpr inline Ret operator op(cvals_t<T1, vals1...>, cvals_t<T2, vals2...>)                           \
+    constexpr CMT_INTRINSIC Ret operator op(cvals_t<T1, vals1...>, cvals_t<T2, vals2...>)                    \
     {                                                                                                        \
         return Ret{};                                                                                        \
     }                                                                                                        \
     template <typename T1, T1... vals1, typename T2, T2 val2,                                                \
               typename Ret =                                                                                 \
                   cvals_t<decltype(std::declval<T1>() op std::declval<T2>()), (vals1 op val2)...>>           \
-    constexpr inline Ret operator op(cvals_t<T1, vals1...>, cval_t<T2, val2>)                                \
+    constexpr CMT_INTRINSIC Ret operator op(cvals_t<T1, vals1...>, cval_t<T2, val2>)                         \
     {                                                                                                        \
         return Ret{};                                                                                        \
     }                                                                                                        \
     template <typename T1, T1 val1, typename T2, T2... vals2,                                                \
               typename Ret =                                                                                 \
                   cvals_t<decltype(std::declval<T1>() op std::declval<T2>()), (val1 op vals2)...>>           \
-    constexpr inline Ret operator op(cval_t<T1, val1>, cvals_t<T2, vals2...>)                                \
+    constexpr CMT_INTRINSIC Ret operator op(cval_t<T1, val1>, cvals_t<T2, vals2...>)                         \
     {                                                                                                        \
         return Ret{};                                                                                        \
     }
-    
+
 // clang-format off
 CMT_UN_OP(-)
 CMT_UN_OP(+)
@@ -743,7 +744,6 @@ CMT_BIN_OP(|)
 CMT_BIN_OP(^)
 // clang-format on
 
-
 namespace details
 {
 
@@ -799,14 +799,14 @@ template <typename... List>
 using indicesfor_t = cvalseq_t<size_t, sizeof...(List), 0>;
 
 template <size_t group, size_t... indices, size_t N = group * sizeof...(indices)>
-constexpr inline auto scale(csizes_t<indices...>) CMT_NOEXCEPT
+constexpr CMT_INTRINSIC auto scale(csizes_t<indices...>) CMT_NOEXCEPT
 {
     using Tlist = typename details::concat_impl<csizeseq_t<group, group * indices>...>::type;
     return Tlist{};
 }
 
 template <size_t group, size_t... indices, size_t N = group * sizeof...(indices)>
-constexpr inline auto scale() CMT_NOEXCEPT
+constexpr CMT_INTRINSIC auto scale() CMT_NOEXCEPT
 {
     using Tlist = typename details::concat_impl<csizeseq_t<group, group * indices>...>::type;
     return Tlist{};
@@ -815,34 +815,35 @@ constexpr inline auto scale() CMT_NOEXCEPT
 namespace details
 {
 
-template <typename Ret, typename T, typename enable = void_t<>>
+template <typename Ret, typename T, typename enable = std::void_t<>>
 struct is_returning_type_impl : std::false_type
 {
 };
 
 template <typename Ret, typename Fn, typename... Args>
-struct is_returning_type_impl<Ret, Fn(Args...), void_t<invoke_result<Fn, Args...>>>
-    : std::is_same<Ret, invoke_result<Fn, Args...>>
+struct is_returning_type_impl<Ret, Fn(Args...), std::void_t<std::invoke_result_t<Fn, Args...>>>
+    : std::is_same<Ret, std::invoke_result_t<Fn, Args...>>
 {
 };
 
-template <typename Fn, typename Args, typename enable = void_t<>>
+template <typename Fn, typename Args, typename enable = std::void_t<>>
 struct is_callable_impl : std::false_type
 {
 };
 
 template <typename Fn, typename... Args>
-struct is_callable_impl<Fn, ctypes_t<Args...>, void_t<invoke_result<Fn, Args...>>> : std::true_type
+struct is_callable_impl<Fn, ctypes_t<Args...>, std::void_t<std::invoke_result_t<Fn, Args...>>>
+    : std::true_type
 {
 };
 
-template <typename T, typename enable = void_t<>>
+template <typename T, typename enable = std::void_t<>>
 struct is_enabled_impl : std::true_type
 {
 };
 
 template <typename Fn>
-struct is_enabled_impl<Fn, void_t<decltype(Fn::disabled)>> : std::integral_constant<bool, !Fn::disabled>
+struct is_enabled_impl<Fn, std::void_t<decltype(Fn::disabled)>> : std::integral_constant<bool, !Fn::disabled>
 {
 };
 
@@ -873,80 +874,84 @@ struct unique_enum_impl
 template <typename T>
 constexpr inline bool is_enabled = details::is_enabled_impl<T>::value;
 
+#ifdef CMT_CPP17_DEFINITIONS
+
 template <typename Fn, typename... Args>
 constexpr inline bool is_callable = details::is_callable_impl<Fn, ctypes_t<Args...>>::value;
 
 template <typename Ret, typename T>
 constexpr inline bool is_returning_type = details::is_returning_type_impl<Ret, T>::value;
 
+#endif
+
 namespace details
 {
-template <typename Fn, CMT_ENABLE_IF(is_callable<Fn()>)>
-inline auto call_if_callable(Fn&& fn)
+template <typename Fn, CMT_ENABLE_IF(std::is_invocable_v<Fn>)>
+CMT_INTRINSIC auto call_if_callable(Fn&& fn)
 {
     return fn();
 }
 
-template <typename Fn, CMT_ENABLE_IF(!is_callable<Fn()>)>
-inline auto call_if_callable(Fn&& fn)
+template <typename Fn, CMT_ENABLE_IF(!std::is_invocable_v<Fn>)>
+CMT_INTRINSIC auto call_if_callable(Fn&& fn)
 {
     return std::forward<Fn>(fn);
 }
 } // namespace details
 
 template <typename Fn, typename... Args>
-inline auto bind_func(Fn&& fn, Args&&... args)
+CMT_INTRINSIC auto bind_func(Fn&& fn, Args&&... args)
 {
     return [=]() CMT_INLINE_LAMBDA { return fn(details::call_if_callable(std::forward<Args>(args))...); };
 }
 
 template <typename T>
-constexpr inline bool is_even(T x)
+constexpr CMT_INTRINSIC bool is_even(T x)
 {
     return (x % 2) == 0;
 }
 
 template <typename T>
-constexpr inline bool is_odd(T x)
+constexpr CMT_INTRINSIC bool is_odd(T x)
 {
     return !is_even(x);
 }
 
 template <typename T>
-constexpr inline bool is_poweroftwo(T x)
+constexpr CMT_INTRINSIC bool is_poweroftwo(T x)
 {
     return ((x != 0) && !(x & (x - 1)));
 }
 
 template <typename T>
-constexpr inline unsigned ilog2(T n, unsigned p = 0)
+constexpr CMT_INTRINSIC unsigned ilog2(T n, unsigned p = 0)
 {
     return (n <= 1) ? p : ilog2(n / 2, p + 1);
 }
 
 /// @brief Returns a nearest power of two that is greater or equal than n
 template <typename T>
-constexpr inline T next_poweroftwo(T n)
+constexpr CMT_INTRINSIC T next_poweroftwo(T n)
 {
     return n > 2 ? T(1) << (ilog2(n - 1) + 1) : n;
 }
 
 /// @brief Returns a nearest power of two that is less or equal than n
 template <typename T>
-constexpr inline T prev_poweroftwo(T n)
+constexpr CMT_INTRINSIC T prev_poweroftwo(T n)
 {
     return n > 2 ? T(1) << (ilog2(n)) : n;
 }
 
 template <typename T>
-constexpr inline bool is_divisible(T x, T divisor)
+constexpr CMT_INTRINSIC bool is_divisible(T x, T divisor)
 {
     return x % divisor == 0;
 }
 
 /// @brief Greatest common divisor
 template <typename T>
-constexpr inline T gcd(T a)
+constexpr CMT_INTRINSIC T gcd(T a)
 {
     return a;
 }
@@ -960,33 +965,33 @@ constexpr inline T gcd(T a, T b)
 
 /// @brief Greatest common divisor
 template <typename T, typename... Ts>
-constexpr inline T gcd(T a, T b, T c, Ts... rest)
+constexpr CMT_INTRINSIC T gcd(T a, T b, T c, Ts... rest)
 {
     return gcd(a, gcd(b, c, rest...));
 }
 
 /// @brief Least common multiple
 template <typename T>
-constexpr inline T lcm(T a)
+constexpr CMT_INTRINSIC T lcm(T a)
 {
     return a;
 }
 
 /// @brief Least common multiple
 template <typename T>
-constexpr inline T lcm(T a, T b)
+constexpr CMT_INTRINSIC T lcm(T a, T b)
 {
     return a * b / gcd(a, b);
 }
 
 /// @brief Least common multiple
 template <typename T, typename... Ts>
-constexpr inline T lcm(T a, T b, T c, Ts... rest)
+constexpr CMT_INTRINSIC T lcm(T a, T b, T c, Ts... rest)
 {
     return lcm(a, lcm(b, c, rest...));
 }
 
-inline std::lldiv_t floor_div(long long a, long long b)
+CMT_INTRINSIC std::lldiv_t floor_div(long long a, long long b)
 {
     std::lldiv_t d = std::lldiv(a, b);
     if (d.rem < 0)
@@ -1000,68 +1005,75 @@ inline std::lldiv_t floor_div(long long a, long long b)
 namespace details
 {
 
-template <size_t bits>
-struct float_type_impl;
-template <size_t bits>
-struct int_type_impl;
-template <size_t bits>
-struct unsigned_type_impl;
+template <typename T>
+constexpr inline char typekind = std::is_floating_point_v<T> ? 'f'
+                                 : std::is_integral_v<T>     ? (std::is_unsigned_v<T> ? 'u' : 'i')
+                                                             : '?';
+
+template <char kind, size_t bits>
+struct bits_to_type_impl;
 
 template <>
-struct float_type_impl<32>
+struct bits_to_type_impl<'f', 32>
 {
     using type = float;
     static_assert(sizeof(type) * 8 == 32, "float must represent IEEE single precision value");
 };
 template <>
-struct float_type_impl<64>
+struct bits_to_type_impl<'f', 64>
 {
     using type = double;
     static_assert(sizeof(type) * 8 == 64, "double must represent IEEE double precision value");
 };
 
 template <>
-struct int_type_impl<8>
+struct bits_to_type_impl<'i', 8>
 {
     using type = std::int8_t;
 };
 template <>
-struct int_type_impl<16>
+struct bits_to_type_impl<'i', 16>
 {
     using type = std::int16_t;
 };
 template <>
-struct int_type_impl<32>
+struct bits_to_type_impl<'i', 32>
 {
     using type = std::int32_t;
 };
 template <>
-struct int_type_impl<64>
+struct bits_to_type_impl<'i', 64>
 {
     using type = std::int64_t;
 };
 
 template <>
-struct unsigned_type_impl<8>
+struct bits_to_type_impl<'u', 8>
 {
     using type = std::uint8_t;
 };
 template <>
-struct unsigned_type_impl<16>
+struct bits_to_type_impl<'u', 16>
 {
     using type = std::uint16_t;
 };
 template <>
-struct unsigned_type_impl<32>
+struct bits_to_type_impl<'u', 32>
 {
     using type = std::uint32_t;
 };
 template <>
-struct unsigned_type_impl<64>
+struct bits_to_type_impl<'u', 64>
 {
     using type = std::uint64_t;
 };
 
+template <char kind, size_t bits>
+using bits_to_type = typename bits_to_type_impl<kind, bits>::type;
+
+template <char kind, size_t bytes>
+using bytes_to_type = typename bits_to_type_impl<kind, bytes * 8>::type;
+
 template <int64_t min, int64_t max, typename... Types>
 struct findinttype_impl
 {
@@ -1069,8 +1081,9 @@ struct findinttype_impl
 template <int64_t min, int64_t max, typename T, typename... Types>
 struct findinttype_impl<min, max, T, Types...>
 {
-    using type = conditional<(std::numeric_limits<T>::min() <= min && std::numeric_limits<T>::max() >= max),
-                             T, typename findinttype_impl<min, max, Types...>::type>;
+    using type =
+        std::conditional_t<(std::numeric_limits<T>::min() <= min && std::numeric_limits<T>::max() >= max), T,
+                           typename findinttype_impl<min, max, Types...>::type>;
 };
 template <int64_t min, int64_t max>
 struct findinttype_impl<min, max>
@@ -1085,21 +1098,29 @@ using is_number_impl =
 } // namespace details
 
 template <size_t bits>
-using float_type = typename details::float_type_impl<bits>::type;
+using float_type = typename details::bits_to_type_impl<'f', bits>::type;
 template <size_t bits>
-using int_type = typename details::int_type_impl<bits>::type;
+using int_type = typename details::bits_to_type_impl<'i', bits>::type;
 template <size_t bits>
-using unsigned_type = typename details::unsigned_type_impl<bits>::type;
+using unsigned_type = typename details::bits_to_type_impl<'u', bits>::type;
 
 template <int64_t min, int64_t max>
 using findinttype = typename details::findinttype_impl<min, max, uint8_t, int8_t, uint16_t, int16_t, uint32_t,
                                                        int32_t, uint64_t, int64_t>::type;
 
 template <typename T>
-constexpr inline bool is_number = details::is_number_impl<decay<T>>::value;
+constexpr inline bool is_number = details::is_number_impl<std::decay_t<T>>::value;
+
+template <typename... Ts>
+constexpr inline bool is_numbers = (details::is_number_impl<std::decay_t<Ts>>::value && ...);
+
+/// @brief Check if the type argument is a number or a vector of numbers
+template <typename T>
+constexpr inline bool is_numeric = is_number<deep_subtype<T>>;
 
+/// @brief Check if the type arguments are a numbers or a vectors of numbers
 template <typename... Ts>
-constexpr inline bool is_numbers = (details::is_number_impl<decay<Ts>>::value && ...);
+constexpr inline bool is_numeric_args = (is_numeric<Ts> && ...);
 
 namespace details
 {
@@ -1144,7 +1165,7 @@ struct carray<T, 1>
     CMT_MEM_INTRINSIC constexpr carray() CMT_NOEXCEPT = default;
     CMT_MEM_INTRINSIC constexpr carray(T val) CMT_NOEXCEPT : val(val) {}
 
-    template <typename Fn, size_t index = 0, CMT_ENABLE_IF(is_callable<Fn, csize_t<index>>)>
+    template <typename Fn, size_t index = 0, CMT_ENABLE_IF(std::is_invocable_v<Fn, csize_t<index>>)>
     CMT_MEM_INTRINSIC constexpr carray(Fn&& fn, csize_t<index> = csize_t<index>{}) CMT_NOEXCEPT
         : val(static_cast<T>(fn(csize_t<index>())))
     {
@@ -1383,7 +1404,8 @@ struct has_begin_end_impl : std::false_type
 };
 
 template <typename T>
-struct has_begin_end_impl<T, void_t<decltype(std::declval<T>().begin()), decltype(std::declval<T>().end())>>
+struct has_begin_end_impl<T,
+                          std::void_t<decltype(std::declval<T>().begin()), decltype(std::declval<T>().end())>>
     : std::true_type
 {
 };
@@ -1394,7 +1416,7 @@ struct has_value_type_impl : std::false_type
 };
 
 template <typename T>
-struct has_value_type_impl<T, void_t<typename T::value_type>> : std::true_type
+struct has_value_type_impl<T, std::void_t<typename T::value_type>> : std::true_type
 {
 };
 
@@ -1404,7 +1426,8 @@ struct has_data_size_impl : std::false_type
 };
 
 template <typename T>
-struct has_data_size_impl<T, void_t<decltype(std::declval<T>().size()), decltype(std::declval<T>().data())>>
+struct has_data_size_impl<T,
+                          std::void_t<decltype(std::declval<T>().size()), decltype(std::declval<T>().data())>>
     : std::true_type
 {
 };
@@ -1416,20 +1439,20 @@ struct value_type_impl
 };
 
 template <typename T, typename Fallback>
-struct value_type_impl<T, Fallback, void_t<typename T::value_type>>
+struct value_type_impl<T, Fallback, std::void_t<typename T::value_type>>
 {
     using type = typename T::value_type;
 };
 } // namespace details
 
 template <typename T>
-constexpr inline bool has_begin_end = details::has_begin_end_impl<decay<T>>::value;
+constexpr inline bool has_begin_end = details::has_begin_end_impl<std::decay_t<T>>::value;
 
 template <typename T>
-constexpr inline bool has_data_size = details::has_data_size_impl<decay<T>>::value;
+constexpr inline bool has_data_size = details::has_data_size_impl<std::decay_t<T>>::value;
 
 template <typename T>
-using value_type_of = typename decay<T>::value_type;
+using value_type_of = typename std::decay_t<T>::value_type;
 
 #ifndef CMT_COMPILER_CLANG
 namespace details
@@ -1595,46 +1618,46 @@ CMT_INTRINSIC decltype(auto) cswitch(cvals_t<T, v0, values...>, identity<T> valu
 namespace details
 {
 template <typename T, typename Fn1, typename Fn2, typename... Fns>
-inline decltype(auto) cmatch_impl(T&& value, Fn1&& first, Fn2&& second, Fns&&... rest);
+CMT_INTRINSIC decltype(auto) cmatch_impl(T&& value, Fn1&& first, Fn2&& second, Fns&&... rest);
 template <typename T, typename Fn, typename... Ts>
-inline decltype(auto) cmatch_impl(T&& value, Fn&& last);
+CMT_INTRINSIC decltype(auto) cmatch_impl(T&& value, Fn&& last);
 
 template <typename T, typename Fn, typename... Fns>
-inline decltype(auto) cmatch_impl2(cbool_t<true>, T&& value, Fn&& fn, Fns&&...)
+CMT_INTRINSIC decltype(auto) cmatch_impl2(cbool_t<true>, T&& value, Fn&& fn, Fns&&...)
 {
     return fn(std::forward<T>(value));
 }
 
 template <typename T, typename Fn, typename... Fns>
-inline decltype(auto) cmatch_impl2(cbool_t<false>, T&& value, Fn&&, Fns&&... rest)
+CMT_INTRINSIC decltype(auto) cmatch_impl2(cbool_t<false>, T&& value, Fn&&, Fns&&... rest)
 {
     return cmatch_impl(std::forward<T>(value), std::forward<Fns>(rest)...);
 }
 
 template <typename T, typename Fn1, typename Fn2, typename... Fns>
-inline decltype(auto) cmatch_impl(T&& value, Fn1&& first, Fn2&& second, Fns&&... rest)
+CMT_INTRINSIC decltype(auto) cmatch_impl(T&& value, Fn1&& first, Fn2&& second, Fns&&... rest)
 {
     using first_arg        = typename function_arguments<Fn1>::template nth<0>;
-    constexpr bool is_same = cometa::is_same<decay<T>, decay<first_arg>>;
+    constexpr bool is_same = std::is_same_v<std::decay_t<T>, std::decay_t<first_arg>>;
     return cmatch_impl2(cbool_t<is_same>(), std::forward<T>(value), std::forward<Fn1>(first),
                         std::forward<Fn2>(second), std::forward<Fns>(rest)...);
 }
 
 template <typename T, typename Fn, typename... Ts>
-inline decltype(auto) cmatch_impl(T&& value, Fn&& last)
+CMT_INTRINSIC decltype(auto) cmatch_impl(T&& value, Fn&& last)
 {
     return last(std::forward<T>(value));
 }
 } // namespace details
 
 template <typename T, typename Fn, typename... Args>
-inline decltype(auto) cmatch(T&& value, Fn&& fn, Args... args)
+CMT_INTRINSIC decltype(auto) cmatch(T&& value, Fn&& fn, Args... args)
 {
     return details::cmatch_impl(std::forward<T>(value), std::forward<Fn>(fn), std::forward<Args>(args)...);
 }
 
 template <typename T, T... values>
-inline size_t cfind(cvals_t<T, values...>, identity<T> value)
+CMT_INTRINSIC size_t cfind(cvals_t<T, values...>, identity<T> value)
 {
     static constexpr T temp[]    = { values... };
     static constexpr size_t size = sizeof...(values);
@@ -1647,7 +1670,7 @@ inline size_t cfind(cvals_t<T, values...>, identity<T> value)
 }
 
 template <typename Fn, typename... Args>
-CMT_UNUSED CMT_NOINLINE static invoke_result<Fn, Args...> noinline(Fn&& fn, Args&&... args)
+CMT_UNUSED CMT_NOINLINE static std::invoke_result_t<Fn, Args...> noinline(Fn&& fn, Args&&... args)
 {
     return fn(std::forward<Args>(args)...);
 }
@@ -1656,7 +1679,7 @@ template <typename Fn>
 struct fn_noinline
 {
     template <typename... Args>
-    CMT_MEM_INTRINSIC invoke_result<Fn, Args...> operator()(Args&&... args) const
+    CMT_MEM_INTRINSIC std::invoke_result_t<Fn, Args...> operator()(Args&&... args) const
     {
         return noinline(Fn{}, std::forward<Args>(args)...);
     }
@@ -1670,13 +1693,13 @@ CMT_INTRINSIC NonMemFn make_nonmember(const Fn&)
 }
 
 template <typename T>
-constexpr inline T choose_const()
+constexpr CMT_INTRINSIC T choose_const()
 {
     static_assert(sizeof(T) != 0, "T not found in the list of template arguments");
     return T();
 }
 template <typename T, typename C1>
-constexpr inline T choose_const_fallback(C1 c1)
+constexpr CMT_INTRINSIC T choose_const_fallback(C1 c1)
 {
     return static_cast<T>(c1);
 }
@@ -1688,21 +1711,21 @@ constexpr inline T choose_const_fallback(C1 c1)
  * CHECK( choose_const<f64>( 32.0f, 64.0 ) == 64.0 );
  * @endcode
  */
-template <typename T, typename C1, typename... Cs, CMT_ENABLE_IF(is_same<T, C1>)>
-constexpr inline T choose_const(C1 c1, Cs...)
+template <typename T, typename C1, typename... Cs, CMT_ENABLE_IF(std::is_same_v<T, C1>)>
+constexpr CMT_INTRINSIC T choose_const(C1 c1, Cs...)
 {
     return static_cast<T>(c1);
 }
-template <typename T, typename C1, typename... Cs, CMT_ENABLE_IF(!is_same<T, C1>)>
-constexpr inline T choose_const(C1, Cs... constants)
+template <typename T, typename C1, typename... Cs, CMT_ENABLE_IF(!std::is_same_v<T, C1>)>
+constexpr CMT_INTRINSIC T choose_const(C1, Cs... constants)
 {
     return choose_const<T>(constants...);
 }
 
 template <typename T, typename C1, typename... Cs>
-constexpr inline T choose_const_fallback(C1 c1, Cs... constants)
+constexpr CMT_INTRINSIC T choose_const_fallback(C1 c1, Cs... constants)
 {
-    return is_same<T, C1> ? static_cast<T>(c1) : choose_const_fallback<T>(constants...);
+    return std::is_same_v<T, C1> ? static_cast<T>(c1) : choose_const_fallback<T>(constants...);
 }
 
 template <typename Tfrom>
@@ -1732,7 +1755,7 @@ struct signed_type_impl
     using type = T;
 };
 template <typename T>
-struct signed_type_impl<T, void_t<enable_if<is_unsigned<T>>>>
+struct signed_type_impl<T, std::void_t<std::enable_if_t<std::is_unsigned_v<T>>>>
 {
     using type = findinttype<std::numeric_limits<T>::min(), std::numeric_limits<T>::max()>;
 };
@@ -1742,38 +1765,38 @@ template <typename T>
 using signed_type = typename details::signed_type_impl<T>::type;
 
 template <typename T>
-constexpr inline T align_down(T x, identity<T> alignment)
+constexpr CMT_INTRINSIC T align_down(T x, identity<T> alignment)
 {
     return (x) & ~(alignment - 1);
 }
 template <typename T>
-constexpr inline T* align_down(T* x, size_t alignment)
+constexpr CMT_INTRINSIC T* align_down(T* x, size_t alignment)
 {
     return reinterpret_cast<T*>(align_down(reinterpret_cast<size_t>(x), alignment));
 }
 
 template <typename T>
-constexpr inline T align_up(T x, identity<T> alignment)
+constexpr CMT_INTRINSIC T align_up(T x, identity<T> alignment)
 {
     return (x + alignment - 1) & ~(alignment - 1);
 }
 template <typename T>
-constexpr inline T* align_up(T* x, size_t alignment)
+constexpr CMT_INTRINSIC T* align_up(T* x, size_t alignment)
 {
     return reinterpret_cast<T*>(align_up(reinterpret_cast<size_t>(x), alignment));
 }
 
 template <typename T>
-constexpr inline T* advance(T* x, ptrdiff_t offset)
+constexpr CMT_INTRINSIC T* advance(T* x, ptrdiff_t offset)
 {
     return x + offset;
 }
-constexpr inline void* advance(void* x, ptrdiff_t offset)
+constexpr CMT_INTRINSIC void* advance(void* x, ptrdiff_t offset)
 {
     return advance(static_cast<unsigned char*>(x), offset);
 }
 
-constexpr inline ptrdiff_t distance(const void* x, const void* y)
+constexpr CMT_INTRINSIC ptrdiff_t distance(const void* x, const void* y)
 {
     return static_cast<const unsigned char*>(x) - static_cast<const unsigned char*>(y);
 }
@@ -1834,20 +1857,20 @@ CMT_INTRINSIC constexpr static T implicit_cast(U&& value)
 namespace details
 {
 template <size_t start, size_t count>
-constexpr std::true_type test_sequence(csizeseq_t<count, start>)
+constexpr CMT_INTRINSIC std::true_type test_sequence(csizeseq_t<count, start>)
 {
     return {};
 }
 
 template <size_t, size_t>
-constexpr std::false_type test_sequence(...)
+constexpr CMT_INTRINSIC std::false_type test_sequence(...)
 {
     return {};
 }
 } // namespace details
 
 template <size_t number, size_t... numbers>
-constexpr bool is_sequence(csizes_t<number, numbers...>)
+constexpr CMT_INTRINSIC bool is_sequence(csizes_t<number, numbers...>)
 {
     return details::test_sequence<number, 1 + sizeof...(numbers)>(csizes_t<number, numbers...>()).value;
 }
@@ -1920,36 +1943,48 @@ constexpr cvalseq_t<unsigned, size, start, step> cuintseq{};
 template <typename... List>
 constexpr indicesfor_t<List...> indicesfor{};
 
-// Workaround for GCC 4.8
 template <typename T>
-constexpr conditional<is_scalar<T>, T, const T&> const_max(const T& x, const T& y)
+constexpr CMT_INTRINSIC T const_max(T x)
 {
-    return x > y ? x : y;
+    return x;
+}
+template <typename T1, typename T2, typename... Ts>
+constexpr CMT_INTRINSIC std::common_type_t<T1, T2, Ts...> const_max(T1 x, T2 y, Ts... z)
+{
+    auto yz = const_max(y, z...);
+    return x > yz ? x : yz;
 }
+
 template <typename T>
-constexpr conditional<is_scalar<T>, T, const T&> const_min(const T& x, const T& y)
+constexpr CMT_INTRINSIC T const_min(T x)
 {
-    return x < y ? x : y;
+    return x;
+}
+template <typename T1, typename T2, typename... Ts>
+constexpr CMT_INTRINSIC std::common_type_t<T1, T2, Ts...> const_min(T1 x, T2 y, Ts... z)
+{
+    auto yz = const_min(y, z...);
+    return x < yz ? x : yz;
 }
 
 template <typename T>
-constexpr T cminof(cvals_t<T>)
+constexpr CMT_INTRINSIC T cminof(cvals_t<T>)
 {
     return std::numeric_limits<T>::max();
 }
 template <typename T, T val, T... vals>
-constexpr T cminof(cvals_t<T, val, vals...>)
+constexpr CMT_INTRINSIC T cminof(cvals_t<T, val, vals...>)
 {
     T m = cminof(cvals<T, vals...>);
     return val < m ? val : m;
 }
 template <typename T>
-constexpr T cmaxof(cvals_t<T>)
+constexpr CMT_INTRINSIC T cmaxof(cvals_t<T>)
 {
     return std::numeric_limits<T>::min();
 }
 template <typename T, T val, T... vals>
-constexpr T cmaxof(cvals_t<T, val, vals...>)
+constexpr CMT_INTRINSIC T cmaxof(cvals_t<T, val, vals...>)
 {
     T m = cmaxof(cvals<T, vals...>);
     return val > m ? val : m;
@@ -2049,17 +2084,19 @@ using overload_generic = overload_priority<0>;
 #define CMT_GEN_LIST(c, m, ...) CMT_GEN_LIST##c(m, __VA_ARGS__)
 
 template <typename Tout, typename Tin>
-CMT_INLINE Tout bitcast_anything(const Tin& in)
+CMT_INTRINSIC Tout bitcast_anything(const Tin& in)
 {
     static_assert(sizeof(Tin) == sizeof(Tout), "Invalid arguments for bitcast_anything");
 #if defined CMT_COMPILER_INTEL
-    const union {
+    const union
+    {
         const Tin in;
         Tout out;
     } u{ in };
     return u.out;
 #else
-    union {
+    union
+    {
         Tin in;
         Tout out;
     } u{ in };
@@ -2068,13 +2105,13 @@ CMT_INLINE Tout bitcast_anything(const Tin& in)
 }
 
 template <typename T>
-constexpr T dont_deduce(T x)
+CMT_INTRINSIC constexpr T dont_deduce(T x)
 {
     return x;
 }
 
 template <typename Ty, typename T>
-constexpr T just_value(T value)
+CMT_INTRINSIC constexpr T just_value(T value)
 {
     return value;
 }
@@ -2092,6 +2129,9 @@ CMT_INTRINSIC constexpr Tout pack_elements(Arg x, Args... args)
            (pack_elements<Tout, Arg>(args...) << (sizeof(Arg) * 8));
 }
 
+template <typename T, bool reference>
+using value_or_ref = std::conditional_t<reference, const T&, T>;
+
 enum class special_constant
 {
     default_constructed,
@@ -2172,7 +2212,8 @@ struct special_value
     template <typename T>
     static T random_bits()
     {
-        union {
+        union
+        {
             uint32_t bits[(sizeof(T) + sizeof(uint32_t) - 1) / sizeof(uint32_t)];
             T value;
         } u;
diff --git a/include/kfr/cometa/array.hpp b/include/kfr/cometa/array.hpp
@@ -102,14 +102,14 @@ inline array_ref<T> make_array_ref(T* data, std::size_t size)
 }
 
 template <typename Container, CMT_ENABLE_IF(has_data_size<Container>),
-          typename T = remove_pointer<decltype(std::declval<Container>().data())>>
+          typename T = std::remove_pointer_t<decltype(std::declval<Container>().data())>>
 inline array_ref<T> make_array_ref(Container& cont)
 {
     return array_ref<T>(cont.data(), cont.size());
 }
 
 template <typename Container, CMT_ENABLE_IF(has_data_size<Container>),
-          typename T = remove_pointer<decltype(std::declval<Container>().data())>>
+          typename T = std::remove_pointer_t<decltype(std::declval<Container>().data())>>
 inline array_ref<const T> make_array_ref(const Container& cont)
 {
     return array_ref<const T>(cont.data(), cont.size());
diff --git a/include/kfr/cometa/cstring.hpp b/include/kfr/cometa/cstring.hpp
@@ -32,7 +32,7 @@ struct cstring
     constexpr size_type size() const CMT_NOEXCEPT { return N; }
 
     template <size_t start, size_t count>
-    constexpr cstring<count> slice(csize_t<start>, csize_t<count>) const CMT_NOEXCEPT
+    constexpr cstring<count + 1> slice(csize_t<start>, csize_t<count>) const CMT_NOEXCEPT
     {
         return slice_impl(csizeseq<count, start>);
     }
@@ -104,9 +104,9 @@ CMT_INTRINSIC cstring<N1 - Nfrom + Nto> str_replace_impl(size_t pos, const cstri
 {
     if (pos == size_t(-1))
         stop_constexpr();
-    return { { (indices < pos
-                    ? str[indices]
-                    : (indices < pos + Nto - 1) ? to[indices - pos] : str[indices - Nto + Nfrom])...,
+    return { { (indices < pos               ? str[indices]
+                : (indices < pos + Nto - 1) ? to[indices - pos]
+                                            : str[indices - Nto + Nfrom])...,
                0 } };
 }
 } // namespace details
diff --git a/include/kfr/cometa/function.hpp b/include/kfr/cometa/function.hpp
@@ -94,9 +94,9 @@ struct function<R(Args...)>
 
     function(std::nullptr_t) noexcept {}
 
-    template <typename Fn,
-              typename = enable_if<is_invocable_r<R, Fn, Args...> && !is_same<decay<Fn>, function>>>
-    function(Fn fn) : impl(new details::function_impl<decay<Fn>, R, Args...>(std::move(fn)))
+    template <typename Fn, typename = std::enable_if_t<std::is_invocable_r_v<R, Fn, Args...> &&
+                                                       !std::is_same_v<std::decay_t<Fn>, function>>>
+    function(Fn fn) : impl(new details::function_impl<std::decay_t<Fn>, R, Args...>(std::move(fn)))
     {
     }
 
@@ -145,8 +145,8 @@ inline function<Ret(Args...)> cdispatch(cvals_t<T, v0, values...>, identity<T> v
 {
     if (value == v0)
     {
-        return [=](Args... args)
-                   CMT_INLINE_LAMBDA -> Ret { return fn(cval_t<T, v0>(), std::forward<Args>(args)...); };
+        return [=](Args... args) CMT_INLINE_LAMBDA -> Ret
+        { return fn(cval_t<T, v0>(), std::forward<Args>(args)...); };
     }
     else
     {
diff --git a/include/kfr/cometa/memory.hpp b/include/kfr/cometa/memory.hpp
@@ -1,4 +1,4 @@
-/** @addtogroup cometa
+/** @addtogroup memory
  *  @{
  */
 #pragma once
@@ -188,13 +188,13 @@ struct autofree
 #ifdef KFR_USE_STD_ALLOCATION
 
 template <typename T>
-using allocator = std::allocator<T>;
+using data_allocator = std::allocator<T>;
 
 #else
 
 /// @brief Aligned allocator
 template <typename T>
-struct allocator
+struct data_allocator
 {
     using value_type      = T;
     using pointer         = T*;
@@ -207,12 +207,12 @@ struct allocator
     template <typename U>
     struct rebind
     {
-        using other = allocator<U>;
+        using other = data_allocator<U>;
     };
-    constexpr allocator() CMT_NOEXCEPT                 = default;
-    constexpr allocator(const allocator&) CMT_NOEXCEPT = default;
+    constexpr data_allocator() CMT_NOEXCEPT                      = default;
+    constexpr data_allocator(const data_allocator&) CMT_NOEXCEPT = default;
     template <typename U>
-    constexpr allocator(const allocator<U>&) CMT_NOEXCEPT
+    constexpr data_allocator(const data_allocator<U>&) CMT_NOEXCEPT
     {
     }
     pointer allocate(size_type n) const
@@ -226,12 +226,12 @@ struct allocator
 };
 
 template <typename T1, typename T2>
-constexpr inline bool operator==(const allocator<T1>&, const allocator<T2>&) CMT_NOEXCEPT
+constexpr inline bool operator==(const data_allocator<T1>&, const data_allocator<T2>&) CMT_NOEXCEPT
 {
     return true;
 }
 template <typename T1, typename T2>
-constexpr inline bool operator!=(const allocator<T1>&, const allocator<T2>&) CMT_NOEXCEPT
+constexpr inline bool operator!=(const data_allocator<T1>&, const data_allocator<T2>&) CMT_NOEXCEPT
 {
     return false;
 }
@@ -269,4 +269,4 @@ public:                                                                         
                                                                                                              \
 private:                                                                                                     \
     mutable std::atomic_uintptr_t m_refcount = ATOMIC_VAR_INIT(0);
-} // namespace cometa
-\ No newline at end of file
+} // namespace cometa
diff --git a/include/kfr/cometa/numeric.hpp b/include/kfr/cometa/numeric.hpp
@@ -113,24 +113,22 @@ enum class datatype : int
 
 constexpr inline datatype operator|(datatype x, datatype y)
 {
-    using type = underlying_type<datatype>;
+    using type = std::underlying_type_t<datatype>;
     return static_cast<datatype>(static_cast<type>(x) | static_cast<type>(y));
 }
 
 constexpr inline datatype operator&(datatype x, datatype y)
 {
-    using type = underlying_type<datatype>;
+    using type = std::underlying_type_t<datatype>;
     return static_cast<datatype>(static_cast<type>(x) & static_cast<type>(y));
 }
 
 template <typename T>
-constexpr inline datatype typeclass = is_floating_point<typename compound_type_traits<T>::subtype>
-                                          ? datatype::f
-                                          : is_integral<typename compound_type_traits<T>::subtype>
-                                                ? (is_unsigned<typename compound_type_traits<T>::subtype>
-                                                       ? datatype::u
-                                                       : datatype::i)
-                                                : datatype();
+constexpr inline datatype typeclass =
+    std::is_floating_point_v<typename compound_type_traits<T>::subtype> ? datatype::f
+    : std::is_integral_v<typename compound_type_traits<T>::subtype>
+        ? (std::is_unsigned_v<typename compound_type_traits<T>::subtype> ? datatype::u : datatype::i)
+        : datatype();
 
 template <typename T>
 constexpr inline bool is_f_class = typeclass<T> == datatype::f;
@@ -158,7 +156,7 @@ using utype =
     typename compound_type_traits<T>::template deep_rebind<unsigned_type<typebits<deep_subtype<T>>::bits>>;
 
 template <typename T>
-using uitype = conditional<is_i_class<deep_subtype<T>>, T, utype<T>>;
+using uitype = std::conditional_t<is_i_class<deep_subtype<T>>, T, utype<T>>;
 
 template <typename T>
 using fsubtype = ftype<subtype<T>>;
@@ -171,7 +169,7 @@ namespace details
 template <typename T>
 struct flt_type_impl
 {
-    using type = conditional<sizeof(T) <= 2, float, fbase>;
+    using type = std::conditional_t<sizeof(T) <= 2, float, fbase>;
 };
 
 template <>
diff --git a/include/kfr/cometa/result.hpp b/include/kfr/cometa/result.hpp
@@ -25,7 +25,7 @@ struct result
 
     constexpr result(ErrEnum error) CMT_NOEXCEPT : m_error(error) {}
 
-    template <typename ValueInit, CMT_ENABLE_IF(is_constructible<value_type, ValueInit>)>
+    template <typename ValueInit, CMT_ENABLE_IF(std::is_constructible_v<value_type, ValueInit>)>
     constexpr result(ValueInit&& value) CMT_NOEXCEPT : m_value(std::forward<ValueInit>(value)),
                                                        m_error(OkValue)
     {
diff --git a/include/kfr/cometa/string.hpp b/include/kfr/cometa/string.hpp
@@ -8,10 +8,14 @@
 #include "ctti.hpp"
 #include "named_arg.hpp"
 #include <array>
+#include <climits>
 #include <cstdio>
 #include <memory>
+#include <numeric>
 #include <string>
+#include <string_view>
 #include <utility>
+#include <vector>
 
 CMT_PRAGMA_GNU(GCC diagnostic push)
 CMT_PRAGMA_GNU(GCC diagnostic ignored "-Wpragmas")
@@ -24,11 +28,7 @@ namespace cometa
 {
 
 template <typename T>
-struct representation
-{
-    using type = T;
-    static constexpr const T& get(const T& value) CMT_NOEXCEPT { return value; }
-};
+struct representation;
 
 template <typename T>
 using repr_type = typename representation<T>::type;
@@ -36,14 +36,15 @@ using repr_type = typename representation<T>::type;
 template <typename... Args>
 CMT_INLINE std::string as_string(const Args&... args);
 
-namespace details
-{
 template <typename T, char t = static_cast<char>(-1), int width = -1, int prec = -1>
 struct fmt_t
 {
     const T& value;
 };
 
+namespace details
+{
+
 template <int number, CMT_ENABLE_IF(number >= 0 && number < 10)>
 constexpr cstring<2> itoa()
 {
@@ -237,19 +238,26 @@ CMT_INLINE const std::string& build_fmt(const std::string& str, ctypes_t<>) { re
 template <typename Arg, typename... Args>
 CMT_INLINE auto build_fmt(const std::string& str, ctypes_t<Arg, Args...>)
 {
-    constexpr auto fmt = value_fmt(ctype_t<decay<Arg>>());
+    constexpr auto fmt = value_fmt(ctype_t<std::decay_t<Arg>>());
     return build_fmt(replace_one(str, "{}", std::string(fmt.data())), ctypes_t<Args...>());
 }
 } // namespace details
 
+template <typename T>
+struct representation
+{
+    using type = T;
+    static constexpr auto get(const T& value) CMT_NOEXCEPT { return details::pack_value(value); }
+};
+
 template <char t, int width = -1, int prec = -1, typename T>
-CMT_INLINE details::fmt_t<T, t, width, prec> fmt(const T& value)
+CMT_INLINE fmt_t<T, t, width, prec> fmt(const T& value)
 {
     return { value };
 }
 
 template <int width = -1, int prec = -1, typename T>
-CMT_INLINE details::fmt_t<T, static_cast<char>(-1), width, prec> fmtwidth(const T& value)
+CMT_INLINE fmt_t<T, static_cast<char>(-1), width, prec> fmtwidth(const T& value)
 {
     return { value };
 }
@@ -263,7 +271,7 @@ constexpr auto build_fmt_str(cchars_t<>, ctypes_t<>) { return make_cstring(""); 
 template <char... chars, typename Arg, typename... Args>
 constexpr auto build_fmt_str(cchars_t<'@', chars...>, ctypes_t<Arg, Args...>)
 {
-    return concat_cstring(details::value_fmt(ctype_t<decay<Arg>>()),
+    return concat_cstring(details::value_fmt(ctype_t<std::decay_t<Arg>>()),
                           build_fmt_str(cchars_t<chars...>(), ctypes_t<Args...>()));
 }
 
@@ -365,7 +373,7 @@ namespace details
 template <typename T>
 constexpr auto get_value_fmt()
 {
-    return details::value_fmt(ctype_t<decay<repr_type<T>>>());
+    return details::value_fmt(ctype_t<std::decay_t<repr_type<T>>>());
 }
 } // namespace details
 
@@ -512,6 +520,171 @@ struct representation<std::shared_ptr<T1>>
             return as_string(type_name<std::shared_ptr<T1>>(), "(nullptr)");
     }
 };
+
+template <>
+struct representation<std::shared_ptr<void>>
+{
+    using type = std::string;
+    static std::string get(const std::shared_ptr<void>& value)
+    {
+        if (value)
+            return as_string(type_name<std::shared_ptr<void>>(), "(", value.get(), ")");
+        else
+            return as_string(type_name<std::shared_ptr<void>>(), "(nullptr)");
+    }
+};
+
+namespace details
+{
+
+template <size_t dims>
+CMT_INTRINSIC size_t trailing_zeros(const std::array<size_t, dims>& indices)
+{
+    for (size_t i = 0; i < dims; ++i)
+    {
+        if (indices[dims - 1 - i] != 0)
+            return i;
+    }
+    return dims;
+}
+
+template <size_t dims>
+CMT_INTRINSIC bool increment_indices(std::array<size_t, dims>& indices, const std::array<size_t, dims>& stop)
+{
+    indices[dims - 1] += 1;
+    CMT_PRAGMA_GNU(clang diagnostic push)
+#if CMT_HAS_WARNING("-Wpass-failed")
+    CMT_PRAGMA_GNU(clang diagnostic ignored "-Wpass-failed")
+#endif
+    CMT_LOOP_UNROLL
+    for (int i = dims - 1; i >= 0;)
+    {
+        if (CMT_LIKELY(indices[i] < stop[i]))
+            return true;
+        // carry
+        indices[i] = 0;
+        --i;
+        if (i < 0)
+        {
+            return false;
+        }
+        indices[i] += 1;
+    }
+    CMT_PRAGMA_GNU(clang diagnostic pop)
+    return true;
+}
+} // namespace details
+
+template <typename U, typename Fmt>
+CMT_INTRINSIC Fmt wrap_fmt(const U& val, ctype_t<Fmt>)
+{
+    return Fmt{ val };
+}
+template <typename U>
+CMT_INTRINSIC U wrap_fmt(const U& val, ctype_t<void>)
+{
+    return val;
+}
+
+template <typename Fmt = void, size_t Dims, typename Getter>
+std::string array_to_string(const std::array<size_t, Dims>& shape, Getter&& getter, int max_columns = 16,
+                            int max_dimensions = INT_MAX, std::string_view separator = ", ",
+                            std::string_view open = "{", std::string_view close = "}")
+{
+    using shape_type = std::array<size_t, Dims>;
+    using index_t    = size_t;
+
+    if (max_columns == 0)
+        max_columns = INT_MAX;
+    std::string ss;
+    for (index_t i = 0; i < Dims; ++i)
+        ss += open;
+
+    bool isempty = std::accumulate(shape.begin(), shape.end(), size_t(1), std::multiplies<size_t>{}) == 0;
+    if (!isempty)
+    {
+        shape_type index{ 0 };
+        std::string open_filler(open.size(), ' ');
+        std::string_view separator_trimmed = separator.substr(0, 1 + separator.find_last_not_of(" \t"));
+        int columns                        = 0;
+        do
+        {
+            std::string str = as_string(wrap_fmt(getter(index), cometa::ctype<Fmt>));
+            index_t z       = details::trailing_zeros(index);
+            if ((z > 0 && columns > 0) || columns >= max_columns)
+            {
+                for (index_t i = 0; i < z; ++i)
+                    ss += close;
+
+                if (z > max_dimensions || columns >= max_columns)
+                {
+                    if (columns > 0)
+                        ss += separator_trimmed;
+                    ss += "\n";
+                    for (index_t i = 0; i < Dims - z; ++i)
+                        ss += open_filler;
+                }
+                else
+                {
+                    if (columns > 0)
+                        ss += separator;
+                }
+                for (index_t i = 0; i < z; ++i)
+                    ss += open;
+
+                columns = 0;
+            }
+            else
+            {
+                if (columns > 0)
+                    ss += separator;
+            }
+            ss += str;
+            ++columns;
+        } while (details::increment_indices<Dims>(index, shape));
+    }
+    for (index_t i = 0; i < Dims; ++i)
+        ss += close;
+    return ss;
+}
+
+template <typename Fmt = void, typename Getter>
+std::string array_to_string(size_t size, Getter&& getter, int max_columns = 16, int max_dimensions = INT_MAX,
+                            std::string_view separator = ", ", std::string_view open = "{",
+                            std::string_view close = "}")
+{
+    return array_to_string(std::array<size_t, 1>{ size }, std::forward<Getter>(getter), max_columns,
+                           max_dimensions, std::move(separator), std::move(open), std::move(close));
+}
+template <typename Fmt = void, typename T>
+std::string array_to_string(size_t size, T* data, int max_columns = 16, int max_dimensions = INT_MAX,
+                            std::string_view separator = ", ", std::string_view open = "{",
+                            std::string_view close = "}")
+{
+    return array_to_string(
+        std::array<size_t, 1>{ size }, [data](std::array<size_t, 1> i) { return data[i.front()]; },
+        max_columns, max_dimensions, std::move(separator), std::move(open), std::move(close));
+}
+
+template <typename T, size_t Size>
+struct representation<std::array<T, Size>>
+{
+    using type = std::string;
+    static std::string get(const std::array<T, Size>& value)
+    {
+        return array_to_string(value.size(), value.data());
+    }
+};
+template <typename T, typename Allocator>
+struct representation<std::vector<T, Allocator>>
+{
+    using type = std::string;
+    static std::string get(const std::vector<T, Allocator>& value)
+    {
+        return array_to_string(value.size(), value.data());
+    }
+};
+
 } // namespace cometa
 
 CMT_PRAGMA_GNU(GCC diagnostic pop)
diff --git a/include/kfr/dft/convolution.hpp b/include/kfr/dft/convolution.hpp
@@ -80,18 +80,18 @@ namespace internal
 {
 /// @brief Utility class to abstract real/complex differences
 template <typename T>
-struct dft_conv_plan: public dft_plan_real<T>
+struct dft_conv_plan : public dft_plan_real<T>
 {
     dft_conv_plan(size_t size) : dft_plan_real<T>(size, dft_pack_format::Perm) {}
-    
+
     size_t csize() const { return this->size / 2; }
 };
 
 template <typename T>
-struct dft_conv_plan<complex<T>>: public dft_plan<T>
+struct dft_conv_plan<complex<T>> : public dft_plan<T>
 {
     dft_conv_plan(size_t size) : dft_plan<T>(size) {}
-    
+
     size_t csize() const { return this->size; }
 };
 } // namespace internal
@@ -109,7 +109,7 @@ public:
     size_t input_block_size() const { return block_size; }
 
 protected:
-    void process_expression(T* dest, const expression_pointer<T>& src, size_t size) final
+    void process_expression(T* dest, const expression_handle<T>& src, size_t size) final
     {
         univector<T> input = truncate(src, size);
         process_buffer(dest, input.data(), input.size());
@@ -118,7 +118,7 @@ protected:
 
     using ST                       = subtype<T>;
     static constexpr auto real_fft = !std::is_same<T, complex<ST>>::value;
-    using plan_t = internal::dft_conv_plan<T>;
+    using plan_t                   = internal::dft_conv_plan<T>;
 
     // Length of filter data.
     size_t data_size;
diff --git a/include/kfr/dft/fft.hpp b/include/kfr/dft/fft.hpp
@@ -75,7 +75,7 @@ struct dft_stage
 
     virtual void dump() const
     {
-        printf("%s: \n\t%5zu,%5zu,%5zu,%5zu,%5zu,%5zu,%5zu, %d, %d, %d, %d\n", name ? name : "unnamed", radix,
+        printf("%s: %zu, %zu, %zu, %zu, %zu, %zu, %zu, %d, %d, %d, %d\n", name ? name : "unnamed", radix,
                stage_size, data_size, temp_size, repeats, out_offset, blocks, recursion, can_inplace, inplace,
                to_scratch);
     }
@@ -139,7 +139,7 @@ struct dft_plan
 
 #ifdef KFR_DFT_MULTI
     explicit dft_plan(cpu_t cpu, size_t size, dft_order order = dft_order::normal)
-        : size(size), temp_size(0), data_size(0)
+        : size(size), temp_size(0), data_size(0), arblen(false)
     {
         if (cpu == cpu_t::runtime)
             cpu = get_cpu();
@@ -163,18 +163,17 @@ struct dft_plan
         }
     }
     explicit dft_plan(size_t size, dft_order order = dft_order::normal)
-        :dft_plan(cpu_t::runtime, size, order)
+        : dft_plan(cpu_t::runtime, size, order)
     {
     }
 #else
     explicit dft_plan(size_t size, dft_order order = dft_order::normal)
-        : size(size), temp_size(0), data_size(0)
+        : size(size), temp_size(0), data_size(0), arblen(false)
     {
         dft_initialize(*this);
     }
 #endif
 
-
     void dump() const
     {
         for (const std::unique_ptr<dft_stage<T>>& s : stages)
@@ -218,13 +217,14 @@ struct dft_plan
     autofree<u8> data;
     size_t data_size;
     std::vector<dft_stage_ptr<T>> stages;
+    bool arblen;
 
 protected:
     struct noinit
     {
     };
     explicit dft_plan(noinit, size_t size, dft_order order = dft_order::normal)
-        : size(size), temp_size(0), data_size(0)
+        : size(size), temp_size(0), data_size(0), arblen(false)
     {
     }
     const complex<T>* select_in(size_t stage, const complex<T>* out, const complex<T>* in,
@@ -291,11 +291,11 @@ protected:
             }
             else
             {
-                size_t offset   = 0;
+                size_t offset = 0;
                 while (offset < this->size)
                 {
                     stages[depth]->execute(cbool<inverse>, select_out(depth, out, scratch) + offset,
-                                       select_in(depth, out, in, scratch, in_scratch) + offset, temp);
+                                           select_in(depth, out, in, scratch, in_scratch) + offset, temp);
                     offset += stages[depth]->stage_size;
                 }
                 depth++;
diff --git a/include/kfr/dft/impl/bitrev.hpp b/include/kfr/dft/impl/bitrev.hpp
@@ -273,13 +273,13 @@ KFR_INTRINSIC void fft_reorder_swap_n4(T* inout, size_t i, size_t j, size_t N4, 
 template <typename T>
 KFR_INTRINSIC void fft_reorder(complex<T>* inout, size_t log2n, ctrue_t use_br2)
 {
-    const size_t N         = 1 << log2n;
+    const size_t N         = size_t(1) << log2n;
     const size_t N4        = N / 4;
     const size_t iend      = N / 16 * 4 * 2;
     constexpr size_t istep = 2 * 4;
     const size_t jstep1    = (1 << (log2n - 5)) * 4 * 2;
-    const size_t jstep2    = size_t(1 << (log2n - 5)) * 4 * 2 - size_t(1 << (log2n - 6)) * 4 * 2;
-    T* io                  = ptr_cast<T>(inout);
+    const size_t jstep2 = size_t(size_t(1) << (log2n - 5)) * 4 * 2 - size_t(size_t(1) << (log2n - 6)) * 4 * 2;
+    T* io               = ptr_cast<T>(inout);
 
     for (size_t i = 0; i < iend;)
     {
diff --git a/include/kfr/dft/impl/convolution-impl.cpp b/include/kfr/dft/impl/convolution-impl.cpp
@@ -23,6 +23,8 @@
   disclosing the source code of your own applications.
   See https://www.kfrlib.com for details.
  */
+#include "../../base/simd_expressions.hpp"
+#include "../../simd/complex.hpp"
 #include "../convolution.hpp"
 
 namespace kfr
@@ -49,7 +51,7 @@ univector<T> convolve(const univector_ref<const T>& src1, const univector_ref<co
     dft->execute(src2padded, src2padded, temp);
     src1padded = src1padded * src2padded;
     dft->execute(src1padded, src1padded, temp, true);
-    const ST invsize = reciprocal<ST>(size);
+    const ST invsize = reciprocal<ST>(static_cast<ST>(size));
     return truncate(real(src1padded), src1.size() + src2.size() - 1) * invsize;
 }
 
@@ -68,7 +70,7 @@ univector<T> correlate(const univector_ref<const T>& src1, const univector_ref<c
     dft->execute(src2padded, src2padded, temp);
     src1padded = src1padded * src2padded;
     dft->execute(src1padded, src1padded, temp, true);
-    const ST invsize = reciprocal<ST>(size);
+    const ST invsize = reciprocal<ST>(static_cast<ST>(size));
     return truncate(real(src1padded), src1.size() + src2.size() - 1) * invsize;
 }
 
@@ -105,7 +107,7 @@ void convolve_filter<T>::set_data(const univector_ref<const T>& data)
     segments.resize((data_size + block_size - 1) / block_size);
     ir_segments.resize(segments.size());
     univector<T> input(fft.size);
-    const ST ifftsize = reciprocal(ST(fft.size));
+    const ST ifftsize = reciprocal(static_cast<ST>(fft.size));
     for (size_t i = 0; i < ir_segments.size(); i++)
     {
         segments[i].resize(fft.csize());
@@ -184,7 +186,7 @@ void convolve_filter<T>::process_buffer(T* output, const T* input, size_t size)
 
         // z_k = y_k + overlap
         process(make_univector(output + processed, processing),
-                scratch2.slice(input_position) + overlap.slice(input_position));
+                scratch2.slice(input_position, processing) + overlap.slice(input_position, processing));
 
         input_position += processing;
         processed += processing;
diff --git a/include/kfr/dft/impl/dft-fft.hpp b/include/kfr/dft/impl/dft-fft.hpp
@@ -36,6 +36,32 @@
 namespace kfr
 {
 
+inline namespace CMT_ARCH_NAME
+{
+namespace intrinsics
+{
+struct name_test_impl
+{
+};
+} // namespace intrinsics
+} // namespace CMT_ARCH_NAME
+
+template <typename T, cpu_t cpu>
+struct dft_name_impl
+{
+};
+
+template <typename Class>
+inline const char* dft_name(Class*)
+{
+    constexpr static size_t prefix_len = ctype_name<intrinsics::name_test_impl>().length() - 14;
+    static constexpr cstring full_name = ctype_name<std::decay_t<Class>>();
+    static constexpr cstring name_arch =
+        concat_cstring(full_name.slice(csize<prefix_len>), make_cstring("("),
+                       make_cstring(CMT_STRINGIFY(CMT_ARCH_NAME)), make_cstring(")"));
+    return name_arch.c_str();
+}
+
 #define DFT_STAGE_FN                                                                                         \
     KFR_MEM_INTRINSIC void do_execute(cdirect_t, complex<T>* out, const complex<T>* in, u8* temp) final      \
     {                                                                                                        \
diff --git a/include/kfr/dft/impl/dft-impl.hpp b/include/kfr/dft/impl/dft-impl.hpp
@@ -25,6 +25,8 @@
  */
 #pragma once
 
+#include "../../base/math_expressions.hpp"
+#include "../../base/simd_expressions.hpp"
 #include "dft-fft.hpp"
 
 CMT_PRAGMA_GNU(GCC diagnostic push)
@@ -82,7 +84,7 @@ struct dft_stage_fixed_impl : dft_stage<T>
 {
     dft_stage_fixed_impl(size_t, size_t iterations, size_t blocks)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->radix      = fixed_radix;
         this->blocks     = blocks;
         this->repeats    = iterations;
@@ -94,9 +96,9 @@ struct dft_stage_fixed_impl : dft_stage<T>
 
     constexpr static size_t rradix = fixed_radix;
 
-    constexpr static size_t width = fixed_radix >= 7
-                                        ? fft_vector_width<T> / 2
-                                        : fixed_radix >= 4 ? fft_vector_width<T> : fft_vector_width<T> * 2;
+    constexpr static size_t width = fixed_radix >= 7   ? fft_vector_width<T> / 2
+                                    : fixed_radix >= 4 ? fft_vector_width<T>
+                                                       : fft_vector_width<T> * 2;
     virtual void do_initialize(size_t) override final { dft_stage_fixed_initialize(this, width); }
 
     DFT_STAGE_FN
@@ -122,7 +124,7 @@ struct dft_stage_fixed_final_impl : dft_stage<T>
 {
     dft_stage_fixed_final_impl(size_t, size_t iterations, size_t blocks)
     {
-        this->name        = type_name<decltype(*this)>();
+        this->name        = dft_name(this);
         this->radix       = fixed_radix;
         this->blocks      = blocks;
         this->repeats     = iterations;
@@ -130,9 +132,9 @@ struct dft_stage_fixed_final_impl : dft_stage<T>
         this->recursion   = false;
         this->can_inplace = false;
     }
-    constexpr static size_t width = fixed_radix >= 7
-                                        ? fft_vector_width<T> / 2
-                                        : fixed_radix >= 4 ? fft_vector_width<T> : fft_vector_width<T> * 2;
+    constexpr static size_t width = fixed_radix >= 7   ? fft_vector_width<T> / 2
+                                    : fixed_radix >= 4 ? fft_vector_width<T>
+                                                       : fft_vector_width<T> * 2;
 
     DFT_STAGE_FN
     template <bool inverse>
@@ -158,32 +160,30 @@ inline auto apply_conj(E& e, ctrue_t)
 
 /// [0, N - 1, N - 2, N - 3, ..., 3, 2, 1]
 template <typename E>
-struct fft_inverse : internal::expression_with_arguments<E>
+struct fft_inverse : expression_with_traits<E>
 {
-    using value_type = value_type_of<E>;
+    using value_type = typename expression_with_traits<E>::value_type;
 
-    KFR_MEM_INTRINSIC fft_inverse(E&& expr) CMT_NOEXCEPT
-        : internal::expression_with_arguments<E>(std::forward<E>(expr))
-    {
-    }
+    KFR_MEM_INTRINSIC fft_inverse(E&& expr) CMT_NOEXCEPT : expression_with_traits<E>(std::forward<E>(expr)) {}
 
-    friend KFR_INTRINSIC vec<value_type, 1> get_elements(const fft_inverse& self, cinput_t input,
-                                                         size_t index, vec_shape<value_type, 1>)
+    friend KFR_INTRINSIC vec<value_type, 1> get_elements(const fft_inverse& self, shape<1> index,
+                                                         axis_params<0, 1>)
     {
-        return self.argument_first(input, index == 0 ? 0 : self.size() - index, vec_shape<value_type, 1>());
+        const size_t size = get_shape(self).front();
+        return get_elements(self.first(), index.front() == 0 ? 0 : size - index, axis_params<0, 1>());
     }
 
     template <size_t N>
-    friend KFR_MEM_INTRINSIC vec<value_type, N> get_elements(const fft_inverse& self, cinput_t input,
-                                                             size_t index, vec_shape<value_type, N>)
+    friend KFR_MEM_INTRINSIC vec<value_type, N> get_elements(const fft_inverse& self, shape<1> index,
+                                                             axis_params<0, N>)
     {
-        if (index == 0)
+        const size_t size = get_shape(self).front();
+        if (index.front() == 0)
         {
-            return concat(
-                self.argument_first(input, index, vec_shape<value_type, 1>()),
-                reverse(self.argument_first(input, self.size() - (N - 1), vec_shape<value_type, N - 1>())));
+            return concat(get_elements(self.first(), index, axis_params<0, 1>()),
+                          reverse(get_elements(self.first(), size - (N - 1), axis_params<0, N - 1>())));
         }
-        return reverse(self.argument_first(input, self.size() - index - (N - 1), vec_shape<value_type, N>()));
+        return reverse(get_elements(self.first(), size - index - (N - 1), axis_params<0, N>()));
     }
 };
 
@@ -199,7 +199,7 @@ struct dft_arblen_stage_impl : dft_stage<T>
     dft_arblen_stage_impl(size_t size)
         : size(size), fftsize(next_poweroftwo(size) * 2), plan(fftsize, dft_order::internal)
     {
-        this->name        = type_name<decltype(*this)>();
+        this->name        = dft_name(this);
         this->radix       = size;
         this->blocks      = 1;
         this->repeats     = 1;
@@ -208,7 +208,7 @@ struct dft_arblen_stage_impl : dft_stage<T>
         this->temp_size   = plan.temp_size;
         this->stage_size  = size;
 
-        chirp_ = render(cexp(sqr(linspace(T(1) - size, size - T(1), size * 2 - 1, true, true)) *
+        chirp_ = render(cexp(sqr(linspace(T(1) - size, size - T(1), size * 2 - 1, true, ctrue)) *
                              complex<T>(0, -1) * c_pi<T> / size));
 
         ichirpp_ = render(truncate(padded(1 / slice(chirp_, 0, 2 * size - 1)), fftsize));
@@ -238,7 +238,7 @@ struct dft_arblen_stage_impl : dft_stage<T>
             xp_fft = xp_fft * ichirpp_;
         plan.execute(xp_fft.data(), xp_fft.data(), temp, ctrue);
 
-        make_univector(out, n) = xp_fft.slice(n - 1) * slice(chirp, n - 1) * invN2;
+        make_univector(out, n) = xp_fft.slice(n - 1, n) * slice(chirp, n - 1, n) * invN2;
     }
 
     const size_t size;
@@ -256,7 +256,7 @@ struct dft_special_stage_impl : dft_stage<T>
 {
     dft_special_stage_impl() : stage1(radix1, size / radix1, 1), stage2(radix2, 1, size / radix2)
     {
-        this->name        = type_name<decltype(*this)>();
+        this->name        = dft_name(this);
         this->radix       = size;
         this->blocks      = 1;
         this->repeats     = 1;
@@ -298,7 +298,7 @@ struct dft_stage_generic_impl : dft_stage<T>
 {
     dft_stage_generic_impl(size_t radix, size_t iterations, size_t blocks)
     {
-        this->name        = type_name<decltype(*this)>();
+        this->name        = dft_name(this);
         this->radix       = radix;
         this->blocks      = blocks;
         this->repeats     = iterations;
@@ -404,7 +404,7 @@ struct dft_reorder_stage_impl : dft_stage<T>
 {
     dft_reorder_stage_impl(const int* radices, size_t count) : count(count)
     {
-        this->name        = type_name<decltype(*this)>();
+        this->name        = dft_name(this);
         this->can_inplace = false;
         this->data_size   = 0;
         std::copy(radices, radices + count, this->radices);
@@ -432,7 +432,8 @@ protected:
     {
         cswitch(
             dft_radices, radices[0],
-            [&](auto first_radix) {
+            [&](auto first_radix)
+            {
                 if (count == 3)
                 {
                     dft_permute(out, in, radices[2], radices[1], first_radix);
@@ -447,7 +448,8 @@ protected:
                     }
                 }
             },
-            [&]() {
+            [&]()
+            {
                 if (count == 3)
                 {
                     dft_permute(out, in, radices[2], radices[1], radices[0]);
@@ -471,14 +473,14 @@ void prepare_dft_stage(dft_plan<T>* self, size_t radix, size_t iterations, size_
 {
     return cswitch(
         dft_radices, radix,
-        [self, iterations, blocks](auto radix) CMT_INLINE_LAMBDA {
-            add_stage<conditional<is_final, intrinsics::dft_stage_fixed_final_impl<T, val_of(radix)>,
-                                  intrinsics::dft_stage_fixed_impl<T, val_of(radix)>>>(self, radix,
-                                                                                       iterations, blocks);
+        [self, iterations, blocks](auto radix) CMT_INLINE_LAMBDA
+        {
+            add_stage<std::conditional_t<is_final, intrinsics::dft_stage_fixed_final_impl<T, val_of(radix)>,
+                                         intrinsics::dft_stage_fixed_impl<T, val_of(radix)>>>(
+                self, radix, iterations, blocks);
         },
-        [self, radix, iterations, blocks]() {
-            add_stage<intrinsics::dft_stage_generic_impl<T, is_final>>(self, radix, iterations, blocks);
-        });
+        [self, radix, iterations, blocks]()
+        { add_stage<intrinsics::dft_stage_generic_impl<T, is_final>>(self, radix, iterations, blocks); });
 }
 
 template <typename T>
@@ -500,17 +502,20 @@ void init_dft(dft_plan<T>* self, size_t size, dft_order)
         int radices[32]                = { 0 };
         size_t radices_size            = 0;
 
-        cforeach(dft_radices[csizeseq<dft_radices.size(), dft_radices.size() - 1, -1>], [&](auto radix) {
-            while (cur_size && cur_size % val_of(radix) == 0)
-            {
-                count[val_of(radix)]++;
-                cur_size /= val_of(radix);
-            }
-        });
+        cforeach(dft_radices[csizeseq<dft_radices.size(), dft_radices.size() - 1, -1>],
+                 [&](auto radix)
+                 {
+                     while (cur_size && cur_size % val_of(radix) == 0)
+                     {
+                         count[val_of(radix)]++;
+                         cur_size /= val_of(radix);
+                     }
+                 });
 
         if (cur_size >= 101)
         {
             add_stage<intrinsics::dft_arblen_stage_impl<T>>(self, size);
+            self->arblen = true;
         }
         else
         {
@@ -522,7 +527,7 @@ void init_dft(dft_plan<T>* self, size_t size, dft_order)
                 for (size_t i = 0; i < count[r]; i++)
                 {
                     iterations /= r;
-                    radices[radices_size++] = r;
+                    radices[radices_size++] = static_cast<int>(r);
                     if (iterations == 1)
                         prepare_dft_stage(self, r, iterations, blocks, ctrue);
                     else
@@ -534,7 +539,7 @@ void init_dft(dft_plan<T>* self, size_t size, dft_order)
             if (cur_size > 1)
             {
                 iterations /= cur_size;
-                radices[radices_size++] = cur_size;
+                radices[radices_size++] = static_cast<int>(cur_size);
                 if (iterations == 1)
                     prepare_dft_stage(self, cur_size, iterations, blocks, ctrue);
                 else
diff --git a/include/kfr/dft/impl/fft-impl.hpp b/include/kfr/dft/impl/fft-impl.hpp
@@ -432,7 +432,7 @@ struct fft_stage_impl : dft_stage<T>
 {
     fft_stage_impl(size_t stage_size)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->radix      = 4;
         this->stage_size = stage_size;
         this->repeats    = 4;
@@ -471,7 +471,7 @@ struct fft_final_stage_impl : dft_stage<T>
 {
     fft_final_stage_impl(size_t)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->radix      = size;
         this->stage_size = size;
         this->out_offset = size;
@@ -515,7 +515,7 @@ struct fft_final_stage_impl : dft_stage<T>
         final_stage<inverse>(csize<size>, 1, cbool<splitin>, out, in, twiddle);
     }
 
-    template <bool inverse, typename U = T, KFR_ENABLE_IF(is_same<U, float>)>
+    template <bool inverse, typename U = T, KFR_ENABLE_IF(std::is_same_v<U, float>)>
     KFR_MEM_INTRINSIC void final_stage(csize_t<32>, size_t invN, cfalse_t, complex<T>* out, const complex<T>*,
                                        const complex<T>*& twiddle)
     {
@@ -523,7 +523,7 @@ struct fft_final_stage_impl : dft_stage<T>
                     cbool_t<prefetch>(), cbool_t<inverse>(), cbool_t<aligned>(), out, out, twiddle);
     }
 
-    template <bool inverse, typename U = T, KFR_ENABLE_IF(is_same<U, float>)>
+    template <bool inverse, typename U = T, KFR_ENABLE_IF(std::is_same_v<U, float>)>
     KFR_MEM_INTRINSIC void final_stage(csize_t<16>, size_t invN, cfalse_t, complex<T>* out, const complex<T>*,
                                        const complex<T>*& twiddle)
     {
@@ -568,7 +568,7 @@ struct fft_reorder_stage_impl : dft_stage<T>
 {
     fft_reorder_stage_impl(size_t stage_size)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->stage_size = stage_size;
         this->user       = ilog2(stage_size);
         this->data_size  = 0;
@@ -590,7 +590,7 @@ struct fft_specialization;
 template <typename T>
 struct fft_specialization<T, 1> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -607,7 +607,7 @@ struct fft_specialization<T, 1> : dft_stage<T>
 template <typename T>
 struct fft_specialization<T, 2> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -624,7 +624,7 @@ struct fft_specialization<T, 2> : dft_stage<T>
 template <typename T>
 struct fft_specialization<T, 3> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -640,7 +640,7 @@ struct fft_specialization<T, 3> : dft_stage<T>
 template <typename T>
 struct fft_specialization<T, 4> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -656,7 +656,7 @@ struct fft_specialization<T, 4> : dft_stage<T>
 template <typename T>
 struct fft_specialization<T, 5> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -672,7 +672,7 @@ struct fft_specialization<T, 5> : dft_stage<T>
 template <typename T>
 struct fft_specialization<T, 6> : dft_stage<T>
 {
-    fft_specialization(size_t) { this->name = type_name<decltype(*this)>(); }
+    fft_specialization(size_t) { this->name = dft_name(this); }
 
     constexpr static bool aligned = false;
     DFT_STAGE_FN
@@ -689,7 +689,7 @@ struct fft_specialization<double, 7> : dft_stage<double>
     using T = double;
     fft_specialization(size_t)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->stage_size = 128;
         this->data_size  = align_up(sizeof(complex<T>) * 128 * 3 / 2, platform<>::native_cache_alignment);
     }
@@ -730,7 +730,7 @@ struct fft_specialization<float, 7> : dft_stage<float>
     using T = float;
     fft_specialization(size_t)
     {
-        this->name       = type_name<decltype(*this)>();
+        this->name       = dft_name(this);
         this->stage_size = 128;
         this->data_size  = align_up(sizeof(complex<T>) * 128 * 3 / 2, platform<>::native_cache_alignment);
     }
@@ -769,7 +769,7 @@ struct fft_specialization<float, 8> : dft_stage<float>
 {
     fft_specialization(size_t)
     {
-        this->name      = type_name<decltype(*this)>();
+        this->name      = dft_name(this);
         this->temp_size = sizeof(complex<float>) * 256;
     }
 
@@ -812,7 +812,7 @@ struct fft_specialization<double, 8> : fft_final_stage_impl<double, false, 256>
     using T = double;
     fft_specialization(size_t stage_size) : fft_final_stage_impl<double, false, 256>(stage_size)
     {
-        this->name = type_name<decltype(*this)>();
+        this->name = dft_name(this);
     }
 
     DFT_STAGE_FN
@@ -830,7 +830,7 @@ struct fft_specialization<T, 9> : fft_final_stage_impl<T, false, 512>
 {
     fft_specialization(size_t stage_size) : fft_final_stage_impl<T, false, 512>(stage_size)
     {
-        this->name = type_name<decltype(*this)>();
+        this->name = dft_name(this);
     }
 
     DFT_STAGE_FN
@@ -848,7 +848,7 @@ struct fft_specialization<T, 10> : fft_final_stage_impl<T, false, 1024>
 {
     fft_specialization(size_t stage_size) : fft_final_stage_impl<T, false, 1024>(stage_size)
     {
-        this->name = type_name<decltype(*this)>();
+        this->name = dft_name(this);
     }
 
     DFT_STAGE_FN
@@ -951,17 +951,21 @@ KFR_INTRINSIC void init_fft(dft_plan<T>* self, size_t size, dft_order)
     const size_t log2n = ilog2(size);
     cswitch(
         csizes_t<1, 2, 3, 4, 5, 6, 7, 8, 9, 10>(), log2n,
-        [&](auto log2n) {
+        [&](auto log2n)
+        {
             (void)log2n;
             constexpr size_t log2nv = val_of(decltype(log2n)());
             add_stage<intrinsics::fft_specialization<T, log2nv>>(self, size);
         },
-        [&]() {
-            cswitch(cfalse_true, is_even(log2n), [&](auto is_even) {
-                make_fft(self, size, is_even, ctrue);
-                constexpr size_t is_evenv = val_of(decltype(is_even)());
-                add_stage<intrinsics::fft_reorder_stage_impl<T, is_evenv>>(self, size);
-            });
+        [&]()
+        {
+            cswitch(cfalse_true, is_even(log2n),
+                    [&](auto is_even)
+                    {
+                        make_fft(self, size, is_even, ctrue);
+                        constexpr size_t is_evenv = val_of(decltype(is_even)());
+                        add_stage<intrinsics::fft_reorder_stage_impl<T, is_evenv>>(self, size);
+                    });
         });
 }
 
@@ -970,15 +974,19 @@ KFR_INTRINSIC void generate_real_twiddles(dft_plan_real<T>* self, size_t size)
 {
     using namespace intrinsics;
     constexpr size_t width = vector_width<T> * 2;
-    block_process(size / 4, csizes_t<width, 1>(), [=](size_t i, auto w) {
-        constexpr size_t width = val_of(decltype(w)());
-        cwrite<width>(self->rtwiddle.data() + i,
-                      cossin(dup(-constants<T>::pi * ((enumerate<T, width>() + i + size / 4) / (size / 2)))));
-    });
+    block_process(size / 4, csizes_t<width, 1>(),
+                  [=](size_t i, auto w)
+                  {
+                      constexpr size_t width = val_of(decltype(w)());
+                      cwrite<width>(self->rtwiddle.data() + i,
+                                    cossin(dup(-constants<T>::pi *
+                                               ((enumerate<T, width>() + i + size / 4) / (size / 2)))));
+                  });
 }
 
 template <typename T>
-#if (defined CMT_ARCH_X32 && defined CMT_ARCH_X86 && defined __clang__) && ((defined __APPLE__) || (__clang_major__ == 8))
+#if (defined CMT_ARCH_X32 && defined CMT_ARCH_X86 && defined __clang__) &&                                   \
+    ((defined __APPLE__) || (__clang_major__ == 8))
 // Fix for Clang 8.0 bug (x32 with FMA instructions)
 // Xcode has different versions but x86 is very rare on macOS these days, 
 // so disable inlining and FMA for x32 macOS and Clang 8.x
@@ -997,20 +1005,22 @@ to_fmt(size_t real_size, const complex<T>* rtwiddle, complex<T>* out, const comp
     const cvec<T, 1> dc    = cread<1>(out);
     const size_t count     = csize / 2;
 
-    block_process(count - 1, csizes_t<width, 1>(), [&](size_t i, auto w) {
-        i++;
-        constexpr size_t width    = val_of(decltype(w)());
-        constexpr size_t widthm1  = width - 1;
-        const cvec<T, width> tw   = cread<width>(rtwiddle + i);
-        const cvec<T, width> fpk  = cread<width>(in + i);
-        const cvec<T, width> fpnk = reverse<2>(negodd(cread<width>(in + csize - i - widthm1)));
+    block_process(count - 1, csizes_t<width, 1>(),
+                  [&](size_t i, auto w)
+                  {
+                      i++;
+                      constexpr size_t width    = val_of(decltype(w)());
+                      constexpr size_t widthm1  = width - 1;
+                      const cvec<T, width> tw   = cread<width>(rtwiddle + i);
+                      const cvec<T, width> fpk  = cread<width>(in + i);
+                      const cvec<T, width> fpnk = reverse<2>(negodd(cread<width>(in + csize - i - widthm1)));
 
-        const cvec<T, width> f1k = fpk + fpnk;
-        const cvec<T, width> f2k = fpk - fpnk;
-        const cvec<T, width> t   = cmul(f2k, tw);
-        cwrite<width>(out + i, T(0.5) * (f1k + t));
-        cwrite<width>(out + csize - i - widthm1, reverse<2>(negodd(T(0.5) * (f1k - t))));
-    });
+                      const cvec<T, width> f1k = fpk + fpnk;
+                      const cvec<T, width> f2k = fpk - fpnk;
+                      const cvec<T, width> t   = cmul(f2k, tw);
+                      cwrite<width>(out + i, T(0.5) * (f1k + t));
+                      cwrite<width>(out + csize - i - widthm1, reverse<2>(negodd(T(0.5) * (f1k - t))));
+                  });
 
     {
         size_t k              = csize / 2;
@@ -1030,7 +1040,8 @@ to_fmt(size_t real_size, const complex<T>* rtwiddle, complex<T>* out, const comp
 }
 
 template <typename T>
-#if (defined CMT_ARCH_X32 && defined CMT_ARCH_X86 && defined __clang__) && ((defined __APPLE__) || (__clang_major__ == 8))
+#if (defined CMT_ARCH_X32 && defined CMT_ARCH_X86 && defined __clang__) &&                                   \
+    ((defined __APPLE__) || (__clang_major__ == 8))
 // Fix for Clang 8.0 bug (x32 with FMA instructions)
 // Xcode has different versions but x86 is very rare on macOS these days, 
 // so disable inlining and FMA for x32 macOS and Clang 8.x
@@ -1059,20 +1070,22 @@ void from_fmt(size_t real_size, complex<T>* rtwiddle, complex<T>* out, const com
     constexpr size_t width = vector_width<T> * 2;
     const size_t count     = csize / 2;
 
-    block_process(count - 1, csizes_t<width, 1>(), [&](size_t i, auto w) {
-        i++;
-        constexpr size_t width    = val_of(decltype(w)());
-        constexpr size_t widthm1  = width - 1;
-        const cvec<T, width> tw   = cread<width>(rtwiddle + i);
-        const cvec<T, width> fpk  = cread<width>(in + i);
-        const cvec<T, width> fpnk = reverse<2>(negodd(cread<width>(in + csize - i - widthm1)));
+    block_process(count - 1, csizes_t<width, 1>(),
+                  [&](size_t i, auto w)
+                  {
+                      i++;
+                      constexpr size_t width    = val_of(decltype(w)());
+                      constexpr size_t widthm1  = width - 1;
+                      const cvec<T, width> tw   = cread<width>(rtwiddle + i);
+                      const cvec<T, width> fpk  = cread<width>(in + i);
+                      const cvec<T, width> fpnk = reverse<2>(negodd(cread<width>(in + csize - i - widthm1)));
 
-        const cvec<T, width> f1k = fpk + fpnk;
-        const cvec<T, width> f2k = fpk - fpnk;
-        const cvec<T, width> t   = cmul_conj(f2k, tw);
-        cwrite<width>(out + i, f1k + t);
-        cwrite<width>(out + csize - i - widthm1, reverse<2>(negodd(f1k - t)));
-    });
+                      const cvec<T, width> f1k = fpk + fpnk;
+                      const cvec<T, width> f2k = fpk - fpnk;
+                      const cvec<T, width> t   = cmul_conj(f2k, tw);
+                      cwrite<width>(out + i, f1k + t);
+                      cwrite<width>(out + csize - i - widthm1, reverse<2>(negodd(f1k - t)));
+                  });
 
     {
         size_t k              = csize / 2;
@@ -1093,12 +1106,14 @@ KFR_INTRINSIC void initialize_stages(dft_plan<T>* self)
     {
         init_fft(self, self->size, dft_order::normal);
     }
-#ifndef KFR_DFT_NO_NPo2
     else
     {
+#ifndef KFR_DFT_NO_NPo2
         init_dft(self, self->size, dft_order::normal);
-    }
+#else
+        KFR_REPORT_LOGIC_ERROR("Non-power of 2 FFT is disabled but ", self->size, " size is requested");
 #endif
+    }
 }
 
 template <typename T>
@@ -1125,12 +1140,15 @@ public:
         constexpr size_t width = vector_width<T> * 2;
         size_t real_size       = this->stage_size;
         complex<T>* rtwiddle   = ptr_cast<complex<T>>(this->data);
-        block_process(real_size / 4, csizes_t<width, 1>(), [=](size_t i, auto w) {
-            constexpr size_t width = val_of(decltype(w)());
-            cwrite<width>(rtwiddle + i,
-                          cossin(dup(-constants<T>::pi *
-                                     ((enumerate<T, width>() + i + real_size / 4) / (real_size / 2)))));
-        });
+        block_process(real_size / 4, csizes_t<width, 1>(),
+                      [=](size_t i, auto w)
+                      {
+                          constexpr size_t width = val_of(decltype(w)());
+                          cwrite<width>(
+                              rtwiddle + i,
+                              cossin(dup(-constants<T>::pi *
+                                         ((enumerate<T, width>() + i + real_size / 4) / (real_size / 2)))));
+                      });
     }
     void do_execute(cdirect_t, complex<T>* out, const complex<T>* in, u8* temp) override
     {
diff --git a/include/kfr/dft/impl/ft.hpp b/include/kfr/dft/impl/ft.hpp
@@ -1092,19 +1092,19 @@ template <typename T, bool inverse = false>
 static constexpr KFR_INTRINSIC cvec<T, 1> tw9_1()
 {
     return { T(0.76604444311897803520239265055541),
-                                  (inverse ? -1 : 1) * T(-0.64278760968653932632264340990727) };
+             (inverse ? -1 : 1) * T(-0.64278760968653932632264340990727) };
 }
 template <typename T, bool inverse = false>
 static constexpr KFR_INTRINSIC cvec<T, 1> tw9_2()
 {
     return { T(0.17364817766693034885171662676931),
-                                  (inverse ? -1 : 1) * T(-0.98480775301220805936674302458952) };
+             (inverse ? -1 : 1) * T(-0.98480775301220805936674302458952) };
 }
 template <typename T, bool inverse = false>
 static constexpr KFR_INTRINSIC cvec<T, 1> tw9_4()
 {
     return { T(-0.93969262078590838405410927732473),
-                                  (inverse ? -1 : 1) * T(-0.34202014332566873304409961468226) };
+             (inverse ? -1 : 1) * T(-0.34202014332566873304409961468226) };
 }
 
 template <size_t N, bool inverse = false, typename T>
@@ -1205,7 +1205,7 @@ KFR_INTRINSIC void butterfly7(cvec<T, N> a00, cvec<T, N> a01, cvec<T, N> a02, cv
     const cvec<T, N> d1 =
         dif1 * tw7i1<T, N, inverse>() + dif2 * tw7i2<T, N, inverse>() + dif3 * tw7i3<T, N, inverse>();
     const cvec<T, N> d2 =
-        dif1 * tw7i2<T, N, inverse>() - dif2 * tw7i3<T, N, inverse>()- dif3 * tw7i1<T, N, inverse>();
+        dif1 * tw7i2<T, N, inverse>() - dif2 * tw7i3<T, N, inverse>() - dif3 * tw7i1<T, N, inverse>();
     const cvec<T, N> d3 =
         dif1 * tw7i3<T, N, inverse>() - dif2 * tw7i1<T, N, inverse>() + dif3 * tw7i2<T, N, inverse>();
 
@@ -1729,15 +1729,18 @@ template <typename T, bool inverse, typename Tstride = csize_t<1>>
 KFR_INTRINSIC void generic_butterfly(size_t radix, cbool_t<inverse>, complex<T>* out, const complex<T>* in,
                                      complex<T>*, const complex<T>* twiddle, Tstride ostride = {})
 {
-    cswitch(csizes_t<11, 13>(), radix,
-            [&](auto radix_) CMT_INLINE_LAMBDA {
-                constexpr size_t width = vector_width<T>;
-                spec_generic_butterfly_w<width>(radix_, cbool_t<inverse>(), out, in, twiddle, ostride);
-            },
-            [&]() CMT_INLINE_LAMBDA {
-                constexpr size_t width = vector_width<T>;
-                generic_butterfly_w<width>(radix, cbool_t<inverse>(), out, in, twiddle, ostride);
-            });
+    cswitch(
+        csizes_t<11, 13>(), radix,
+        [&](auto radix_) CMT_INLINE_LAMBDA
+        {
+            constexpr size_t width = vector_width<T>;
+            spec_generic_butterfly_w<width>(radix_, cbool_t<inverse>(), out, in, twiddle, ostride);
+        },
+        [&]() CMT_INLINE_LAMBDA
+        {
+            constexpr size_t width = vector_width<T>;
+            generic_butterfly_w<width>(radix, cbool_t<inverse>(), out, in, twiddle, ostride);
+        });
 }
 
 template <typename T, size_t N>
@@ -1809,4 +1812,3 @@ KFR_INTRINSIC void cdigitreverse4_write<false, f64, 32>(complex<f64>* dest, cons
 } // namespace kfr
 
 CMT_PRAGMA_MSVC(warning(pop))
-
diff --git a/include/kfr/dsp/biquad.hpp b/include/kfr/dsp/biquad.hpp
@@ -26,7 +26,7 @@
 #pragma once
 
 #include "../base/filter.hpp"
-#include "../base/pointer.hpp"
+#include "../base/handle.hpp"
 #include "../simd/impl/function.hpp"
 #include "../simd/operators.hpp"
 #include "../simd/vec.hpp"
@@ -62,9 +62,9 @@ struct biquad_params
                                                                        b2(static_cast<T>(bq.b2))
     {
     }
-    constexpr static bool is_pod = true;
+    constexpr static bool is_pod_like = true;
 
-    static_assert(is_floating_point<T>, "T must be a floating point type");
+    static_assert(std::is_floating_point_v<T>, "T must be a floating point type");
     constexpr biquad_params() CMT_NOEXCEPT : a0(1), a1(0), a2(0), b0(1), b1(0), b2(0) {}
     constexpr biquad_params(T a0, T a1, T a2, T b0, T b1, T b2) CMT_NOEXCEPT : a0(a0),
                                                                                a1(a1),
@@ -93,8 +93,6 @@ struct biquad_params
 inline namespace CMT_ARCH_NAME
 {
 
-namespace internal
-{
 template <typename T, size_t filters>
 struct biquad_state
 {
@@ -143,125 +141,126 @@ struct biquad_block
 };
 
 template <size_t filters, typename T, typename E1>
-struct expression_biquads_l : public expression_with_arguments<E1>
+struct expression_biquads_l : public expression_with_traits<E1>
 {
     using value_type = T;
 
     expression_biquads_l(const biquad_block<T, filters>& bq, E1&& e1)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), bq(bq)
+        : expression_with_traits<E1>(std::forward<E1>(e1)), bq(bq)
     {
     }
-    template <size_t width>
-    friend KFR_INTRINSIC vec<T, width> get_elements(const expression_biquads_l& self, cinput_t cinput,
-                                                    size_t index, vec_shape<T, width> t)
-    {
-        const vec<T, width> in = self.argument_first(cinput, index, t);
-        vec<T, width> out;
+    biquad_block<T, filters> bq;
+    mutable biquad_state<T, filters> state;
+};
 
-        CMT_LOOP_UNROLL
-        for (size_t i = 0; i < width; i++)
-        {
-            self.state.out = process(self.bq, self.state, insertleft(in[i], self.state.out));
-            out[i]         = self.state.out[filters - 1];
-        }
+template <size_t filters, typename T, typename E1>
+struct expression_biquads : expression_with_traits<E1>
+{
+    using value_type = T;
 
-        return out;
-    }
-    static KFR_MEM_INTRINSIC vec<T, filters> process(const biquad_block<T, filters>& bq,
-                                                     biquad_state<T, filters>& state,
-                                                     const vec<T, filters>& in)
+    expression_biquads(const biquad_block<T, filters>& bq, E1&& e1)
+        : expression_with_traits<E1>(std::forward<E1>(e1)), bq(bq), block_end(0)
     {
-        const vec<T, filters> out = bq.b0 * in + state.s1;
-        state.s1                  = state.s2 + bq.b1 * in - bq.a1 * out;
-        state.s2                  = bq.b2 * in - bq.a2 * out;
-        return out;
     }
+
     biquad_block<T, filters> bq;
+
     mutable biquad_state<T, filters> state;
+    mutable biquad_state<T, filters> saved_state;
+    mutable size_t block_end;
 };
 
-template <size_t filters, typename T, typename E1>
-struct expression_biquads : expression_with_arguments<E1>
+template <size_t filters, typename T>
+KFR_INTRINSIC vec<T, filters> biquad_process(const biquad_block<T, filters>& bq,
+                                             biquad_state<T, filters>& state, const vec<T, filters>& in)
 {
-    using value_type = T;
+    const vec<T, filters> out = bq.b0 * in + state.s1;
+    state.s1                  = state.s2 + bq.b1 * in - bq.a1 * out;
+    state.s2                  = bq.b2 * in - bq.a2 * out;
+    return out;
+}
 
-    expression_biquads(const biquad_block<T, filters>& bq, E1&& e1)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), bq(bq), block_end(0)
+template <size_t filters, typename T, typename E1, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_biquads_l<filters, T, E1>& self, shape<1> index,
+                                     axis_params<0, N> t)
+{
+    const vec<T, N> in = get_elements(self.first(), index, t);
+    vec<T, N> out;
+
+    CMT_LOOP_UNROLL
+    for (size_t i = 0; i < N; i++)
     {
+        self.state.out = biquad_process(self.bq, self.state, insertleft(in[i], self.state.out));
+        out[i]         = self.state.out[filters - 1];
     }
 
-    void begin_block(cinput_t cinput, size_t size) const
+    return out;
+}
+
+template <size_t filters, typename T, typename E1>
+KFR_INTRINSIC void begin_pass(const expression_biquads<filters, T, E1>& self, shape<1> start, shape<1> stop)
+{
+    size_t size    = stop.front();
+    self.block_end = size;
+    for (index_t i = 0; i < filters - 1; i++)
     {
-        block_end = size;
-        for (size_t i = 0; i < filters - 1; i++)
+        const vec<T, 1> in = i < size ? get_elements(self.first(), shape<1>{ i }, axis_params_v<0, 1>) : 0;
+        self.state.out     = biquad_process(self.bq, self.state, insertleft(in[0], self.state.out));
+    }
+}
+template <size_t filters, typename T, typename E1>
+KFR_INTRINSIC void end_pass(const expression_biquads<filters, T, E1>& self, shape<1> start, shape<1> stop)
+{
+    self.state = self.saved_state;
+}
+
+template <size_t filters, typename T, typename E1, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const expression_biquads<filters, T, E1>& self, shape<1> index,
+                                     axis_params<0, N> t)
+{
+    index.front() += filters - 1;
+    vec<T, N> out{};
+    if (index.front() + N <= self.block_end)
+    {
+        const vec<T, N> in = get_elements(self.first(), shape<1>{ index.front() }, t);
+
+        CMT_LOOP_UNROLL
+        for (size_t i = 0; i < N; i++)
         {
-            const vec<T, 1> in = i < size ? this->argument_first(cinput, i, vec_shape<T, 1>()) : 0;
-            state.out          = process(bq, state, insertleft(in[0], state.out));
+            self.state.out = biquad_process(self.bq, self.state, insertleft(in[i], self.state.out));
+            out[i]         = self.state.out[filters - 1];
         }
+        if (index.front() + N == self.block_end)
+            self.saved_state = self.state;
     }
-    void end_block(cinput_t, size_t) const { state = saved_state; }
-
-    template <size_t width>
-    friend KFR_INTRINSIC vec<T, width> get_elements(const expression_biquads& self, cinput_t cinput,
-                                                    size_t index, vec_shape<T, width> t)
+    else if (index.front() >= self.block_end)
     {
-        index += filters - 1;
-        vec<T, width> out{};
-        if (index + width <= self.block_end)
+        CMT_LOOP_UNROLL
+        for (size_t i = 0; i < N; i++)
         {
-            const vec<T, width> in = self.argument_first(cinput, index, t);
-
-            CMT_LOOP_UNROLL
-            for (size_t i = 0; i < width; i++)
-            {
-                self.state.out = process(self.bq, self.state, insertleft(in[i], self.state.out));
-                out[i]         = self.state.out[filters - 1];
-            }
-            if (index + width == self.block_end)
-                self.saved_state = self.state;
+            self.state.out = biquad_process(self.bq, self.state, insertleft(T(0), self.state.out));
+            out[i]         = self.state.out[filters - 1];
         }
-        else if (index >= self.block_end)
+    }
+    else
+    {
+        size_t i = 0;
+        for (; i < std::min(N, self.block_end - static_cast<size_t>(index.front())); i++)
         {
-            CMT_LOOP_UNROLL
-            for (size_t i = 0; i < width; i++)
-            {
-                self.state.out = process(self.bq, self.state, insertleft(T(0), self.state.out));
-                out[i]         = self.state.out[filters - 1];
-            }
+            const vec<T, 1> in =
+                get_elements(self.first(), index.add_at(i, cval<index_t, 0>), axis_params_v<0, 1>);
+            self.state.out = biquad_process(self.bq, self.state, insertleft(in[0], self.state.out));
+            out[i]         = self.state.out[filters - 1];
         }
-        else
+        self.saved_state = self.state;
+        for (; i < N; i++)
         {
-            size_t i = 0;
-            for (; i < std::min(width, self.block_end - index); i++)
-            {
-                const vec<T, 1> in = self.argument_first(cinput, index + i, vec_shape<T, 1>());
-                self.state.out     = process(self.bq, self.state, insertleft(in[0], self.state.out));
-                out[i]             = self.state.out[filters - 1];
-            }
-            self.saved_state = self.state;
-            for (; i < width; i++)
-            {
-                self.state.out = process(self.bq, self.state, insertleft(T(0), self.state.out));
-                out[i]         = self.state.out[filters - 1];
-            }
+            self.state.out = biquad_process(self.bq, self.state, insertleft(T(0), self.state.out));
+            out[i]         = self.state.out[filters - 1];
         }
-        return out;
-    }
-    static KFR_MEM_INTRINSIC vec<T, filters> process(const biquad_block<T, filters>& bq,
-                                                     biquad_state<T, filters>& state, vec<T, filters> in)
-    {
-        const vec<T, filters> out = bq.b0 * in + state.s1;
-        state.s1                  = state.s2 + bq.b1 * in - bq.a1 * out;
-        state.s2                  = bq.b2 * in - bq.a2 * out;
-        return out;
     }
-    biquad_block<T, filters> bq;
-
-    mutable biquad_state<T, filters> state;
-    mutable biquad_state<T, filters> saved_state;
-    mutable size_t block_end;
-};
-} // namespace internal
+    return out;
+}
 
 /**
  * @brief Returns template expressions that applies biquad filter to the input.
@@ -269,10 +268,10 @@ struct expression_biquads : expression_with_arguments<E1>
  * @param e1 Input expression
  */
 template <typename T, typename E1>
-KFR_FUNCTION internal::expression_biquads<1, T, E1> biquad(const biquad_params<T>& bq, E1&& e1)
+KFR_FUNCTION expression_biquads<1, T, E1> biquad(const biquad_params<T>& bq, E1&& e1)
 {
     const biquad_params<T> bqs[1] = { bq };
-    return internal::expression_biquads<1, T, E1>(bqs, std::forward<E1>(e1));
+    return expression_biquads<1, T, E1>(bqs, std::forward<E1>(e1));
 }
 
 /**
@@ -282,10 +281,9 @@ KFR_FUNCTION internal::expression_biquads<1, T, E1> biquad(const biquad_params<T
  * @note This implementation introduces delay of N - 1 samples, where N is the filter count.
  */
 template <size_t filters, typename T, typename E1>
-KFR_FUNCTION internal::expression_biquads_l<filters, T, E1> biquad_l(const biquad_params<T> (&bq)[filters],
-                                                                     E1&& e1)
+KFR_FUNCTION expression_biquads_l<filters, T, E1> biquad_l(const biquad_params<T> (&bq)[filters], E1&& e1)
 {
-    return internal::expression_biquads_l<filters, T, E1>(bq, std::forward<E1>(e1));
+    return expression_biquads_l<filters, T, E1>(bq, std::forward<E1>(e1));
 }
 
 /**
@@ -295,10 +293,9 @@ KFR_FUNCTION internal::expression_biquads_l<filters, T, E1> biquad_l(const biqua
  * @note This implementation has zero latency
  */
 template <size_t filters, typename T, typename E1>
-KFR_FUNCTION internal::expression_biquads<filters, T, E1> biquad(const biquad_params<T> (&bq)[filters],
-                                                                 E1&& e1)
+KFR_FUNCTION expression_biquads<filters, T, E1> biquad(const biquad_params<T> (&bq)[filters], E1&& e1)
 {
-    return internal::expression_biquads<filters, T, E1>(bq, std::forward<E1>(e1));
+    return expression_biquads<filters, T, E1>(bq, std::forward<E1>(e1));
 }
 
 /**
@@ -308,21 +305,22 @@ KFR_FUNCTION internal::expression_biquads<filters, T, E1> biquad(const biquad_pa
  * @note This implementation has zero latency
  */
 template <size_t maxfiltercount = 4, typename T, typename E1>
-KFR_FUNCTION expression_pointer<T> biquad(const biquad_params<T>* bq, size_t count, E1&& e1)
+KFR_FUNCTION expression_handle<T, 1> biquad(const biquad_params<T>* bq, size_t count, E1&& e1)
 {
     constexpr csizes_t<1, 2, 4, 8, 16, 32, 64> sizes;
     return cswitch(
         cfilter(sizes, sizes <= csize_t<maxfiltercount>{}), next_poweroftwo(count),
-        [&](auto x) {
+        [&](auto x)
+        {
             constexpr size_t filters = x;
-            return to_pointer(internal::expression_biquads<filters, T, E1>(
-                internal::biquad_block<T, filters>(bq, count), std::forward<E1>(e1)));
+            return to_handle(expression_biquads<filters, T, E1>(biquad_block<T, filters>(bq, count),
+                                                                std::forward<E1>(e1)));
         },
-        [&] { return to_pointer(zeros<T>()); });
+        [&] { return to_handle(fixshape(zeros<T>(), fixed_shape<infinite_size>)); });
 }
 
 template <size_t maxfiltercount = 4, typename T, typename E1>
-KFR_FUNCTION expression_pointer<T> biquad(const std::vector<biquad_params<T>>& bq, E1&& e1)
+KFR_FUNCTION expression_handle<T, 1> biquad(const std::vector<biquad_params<T>>& bq, E1&& e1)
 {
     return biquad<maxfiltercount>(bq.data(), bq.size(), std::forward<E1>(e1));
 }
@@ -341,11 +339,7 @@ public:
     {
     }
 
-    biquad_filter(const std::vector<biquad_params<T>>& bq)
-        : biquad_filter(bq.data(), bq.size()) 
-    {
-    }
-
+    biquad_filter(const std::vector<biquad_params<T>>& bq) : biquad_filter(bq.data(), bq.size()) {}
 };
 
 } // namespace CMT_ARCH_NAME
diff --git a/include/kfr/dsp/dcremove.hpp b/include/kfr/dsp/dcremove.hpp
@@ -30,14 +30,12 @@
 
 namespace kfr
 {
-inline namespace CMT_ARCH_NAME
-{
 
-template <typename E1, typename T = flt_type<value_type_of<E1>>>
-KFR_INTRINSIC internal::expression_biquads<1, T, E1> dcremove(E1&& e1, double cutoff = 0.00025)
+template <typename E1, typename T = flt_type<expression_value_type<E1>>>
+KFR_INTRINSIC expression_biquads<1, T, E1> dcremove(E1&& e1, double cutoff = 0.00025)
 {
     const biquad_params<T> bqs[1] = { biquad_highpass(cutoff, 0.5) };
-    return internal::expression_biquads<1, T, E1>(bqs, std::forward<E1>(e1));
+    return expression_biquads<1, T, E1>(bqs, std::forward<E1>(e1));
 }
-} // namespace CMT_ARCH_NAME
+
 } // namespace kfr
diff --git a/include/kfr/dsp/delay.hpp b/include/kfr/dsp/delay.hpp
@@ -27,8 +27,8 @@
 
 #include "../base/basic_expressions.hpp"
 #include "../base/expression.hpp"
+#include "../base/state_holder.hpp"
 #include "../base/univector.hpp"
-#include "state_holder.hpp"
 
 namespace kfr
 {
@@ -58,14 +58,21 @@ struct delay_state<T, 1, 1>
     mutable T data = T(0);
 };
 
-namespace internal
-{
-
 template <size_t delay, typename E, bool stateless, univector_tag STag>
-struct expression_delay : expression_with_arguments<E>
+struct expression_delay : expression_with_arguments<E>, public expression_traits_defaults
 {
-    using value_type = value_type_of<E>;
-    using T          = value_type;
+    using ArgTraits = expression_traits<E>;
+    static_assert(ArgTraits::dims == 1, "expression_delay requires argument with dims == 1");
+    using value_type             = typename ArgTraits::value_type;
+    constexpr static size_t dims = 1;
+    constexpr static shape<dims> get_shape(const expression_delay& self)
+    {
+        return ArgTraits::get_shape(self.first());
+    }
+    constexpr static shape<dims> get_shape() { return ArgTraits::get_shape(); }
+    constexpr static inline bool random_access = false;
+
+    using T = value_type;
     using expression_with_arguments<E>::expression_with_arguments;
 
     expression_delay(E&& e, const delay_state<T, delay, STag>& state)
@@ -74,46 +81,54 @@ struct expression_delay : expression_with_arguments<E>
     }
 
     template <size_t N, KFR_ENABLE_IF(N <= delay)>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_delay& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N>)
+    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_delay& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
         vec<T, N> out;
-        size_t c = self.state.s.cursor;
-        self.state.s.data.ringbuf_read(c, out);
-        const vec<T, N> in = self.argument_first(cinput, index, vec_shape<T, N>());
-        self.state.s.data.ringbuf_write(self.state.s.cursor, in);
+        size_t c = self.state->cursor;
+        self.state->data.ringbuf_read(c, out);
+        const vec<T, N> in = get_elements(self.first(), index, sh);
+        self.state->data.ringbuf_write(self.state->cursor, in);
         return out;
     }
-    friend vec<T, 1> get_elements(const expression_delay& self, cinput_t cinput, size_t index,
-                                  vec_shape<T, 1>)
+    friend vec<T, 1> get_elements(const expression_delay& self, shape<1> index, axis_params<0, 1> sh)
     {
         T out;
-        size_t c = self.state.s.cursor;
-        self.state.s.data.ringbuf_read(c, out);
-        const T in = self.argument_first(cinput, index, vec_shape<T, 1>())[0];
-        self.state.s.data.ringbuf_write(self.state.s.cursor, in);
+        size_t c = self.state->cursor;
+        self.state->data.ringbuf_read(c, out);
+        const T in = get_elements(self.first(), index, sh).front();
+        self.state->data.ringbuf_write(self.state->cursor, in);
         return out;
     }
     template <size_t N, KFR_ENABLE_IF(N > delay)>
-    friend vec<T, N> get_elements(const expression_delay& self, cinput_t cinput, size_t index,
-                                  vec_shape<T, N>)
+    friend vec<T, N> get_elements(const expression_delay& self, shape<1> index, axis_params<0, N> sh)
     {
         vec<T, delay> out;
-        size_t c = self.state.s.cursor;
-        self.state.s.data.ringbuf_read(c, out);
-        const vec<T, N> in = self.argument_first(cinput, index, vec_shape<T, N>());
-        self.state.s.data.ringbuf_write(self.state.s.cursor, slice<N - delay, delay>(in));
+        size_t c = self.state->cursor;
+        self.state->data.ringbuf_read(c, out);
+        const vec<T, N> in = get_elements(self.first(), index, sh);
+        self.state->data.ringbuf_write(self.state->cursor, slice<N - delay, delay>(in));
         return concat_and_slice<0, N>(out, in);
     }
 
-    state_holder<delay_state<T, delay, STag>, stateless> state;
+    state_holder<const delay_state<T, delay, STag>, stateless> state;
 };
 
 template <typename E, bool stateless, univector_tag STag>
-struct expression_delay<1, E, stateless, STag> : expression_with_arguments<E>
+struct expression_delay<1, E, stateless, STag> : expression_with_arguments<E>, expression_traits_defaults
 {
-    using value_type = value_type_of<E>;
-    using T          = value_type;
+    using ArgTraits = expression_traits<E>;
+    static_assert(ArgTraits::dims == 1, "expression_delay requires argument with dims == 1");
+    using value_type             = typename ArgTraits::value_type;
+    constexpr static size_t dims = 1;
+    constexpr static shape<dims> get_shape(const expression_delay& self)
+    {
+        return ArgTraits::get_shape(self.first());
+    }
+    constexpr static shape<dims> get_shape() { return ArgTraits::get_shape(); }
+    constexpr static inline bool random_access = false;
+
+    using T = value_type;
     using expression_with_arguments<E>::expression_with_arguments;
 
     expression_delay(E&& e, const delay_state<T, 1, STag>& state)
@@ -122,17 +137,16 @@ struct expression_delay<1, E, stateless, STag> : expression_with_arguments<E>
     }
 
     template <size_t N>
-    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_delay& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N>)
+    friend KFR_INTRINSIC vec<T, N> get_elements(const expression_delay& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> in  = self.argument_first(cinput, index, vec_shape<T, N>());
-        const vec<T, N> out = insertleft(self.state.s.data, in);
-        self.state.s.data   = in[N - 1];
+        const vec<T, N> in  = get_elements(self.first(), index, sh);
+        const vec<T, N> out = insertleft(self.state->data, in);
+        self.state->data    = in[N - 1];
         return out;
     }
-    state_holder<delay_state<T, 1, STag>, stateless> state;
+    state_holder<const delay_state<T, 1, STag>, stateless> state;
 };
-} // namespace internal
 
 /**
  * @brief Returns template expression that applies delay to the input (uses ring buffer internally)
@@ -143,12 +157,11 @@ struct expression_delay<1, E, stateless, STag> : expression_with_arguments<E>
  * auto d = delay(v, csize<4>);
  * @endcode
  */
-template <size_t samples = 1, typename E1, typename T = value_type_of<E1>>
-KFR_INTRINSIC internal::expression_delay<samples, E1, false, samples> delay(E1&& e1)
+template <size_t samples = 1, typename E1, typename T = expression_value_type<E1>>
+KFR_INTRINSIC expression_delay<samples, E1, false, samples> delay(E1&& e1)
 {
     static_assert(samples >= 1 && samples < 1024, "");
-    return internal::expression_delay<samples, E1, false, samples>(std::forward<E1>(e1),
-                                                                   delay_state<T, samples>());
+    return expression_delay<samples, E1, false, samples>(std::forward<E1>(e1), delay_state<T, samples>());
 }
 
 /**
@@ -162,11 +175,10 @@ KFR_INTRINSIC internal::expression_delay<samples, E1, false, samples> delay(E1&&
  * @endcode
  */
 template <size_t samples, typename T, typename E1, univector_tag STag>
-KFR_INTRINSIC internal::expression_delay<samples, E1, true, STag> delay(delay_state<T, samples, STag>& state,
-                                                                        E1&& e1)
+KFR_INTRINSIC expression_delay<samples, E1, true, STag> delay(delay_state<T, samples, STag>& state, E1&& e1)
 {
     static_assert(STag == tag_dynamic_vector || (samples >= 1 && samples < 1024), "");
-    return internal::expression_delay<samples, E1, true, STag>(std::forward<E1>(e1), state);
+    return expression_delay<samples, E1, true, STag>(std::forward<E1>(e1), state);
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/dsp/ebu.hpp b/include/kfr/dsp/ebu.hpp
@@ -62,7 +62,7 @@ struct integrated_vec : public univector<T>
 private:
     void compute() const
     {
-        const T z_total = mean(*this);
+        const T z_total = mean(static_cast<const univector<T>&>(*this));
         T relative_gate = energy_to_loudness(z_total) - 10;
 
         T z        = 0;
@@ -130,7 +130,7 @@ private:
         static const T PRC_LOW  = T(0.10);
         static const T PRC_HIGH = T(0.95);
 
-        const T z_total       = mean(*this);
+        const T z_total       = mean(static_cast<const univector<T>&>(*this));
         const T relative_gate = energy_to_loudness(z_total) - 20;
 
         if (this->size() < 2)
@@ -184,13 +184,13 @@ private:
 };
 
 template <typename T>
-KFR_INTRINSIC expression_pointer<T> make_kfilter(int samplerate)
+KFR_INTRINSIC expression_handle<T, 1> make_kfilter(int samplerate)
 {
     const biquad_params<T> bq[] = {
         biquad_highshelf(T(1681.81 / samplerate), T(+4.0)),
         biquad_highpass(T(38.1106678246655 / samplerate), T(0.5)).normalized_all()
     };
-    return to_pointer(biquad(bq, placeholder<T>()));
+    return to_handle(biquad(bq, placeholder<T>()));
 }
 
 template <typename T>
@@ -232,7 +232,7 @@ public:
 
     void process_packet(const T* src)
     {
-        substitute(m_kfilter, to_pointer(make_univector(src, m_packet_size) * m_input_gain));
+        substitute(m_kfilter, to_handle(make_univector(src, m_packet_size) * m_input_gain));
         const T filtered_sum_of_squares = sumsqr(truncate(m_kfilter, m_packet_size));
 
         m_short_sum_of_squares.ringbuf_write(m_short_sum_of_squares_cursor, filtered_sum_of_squares);
@@ -245,7 +245,7 @@ private:
     const Speaker m_speaker;
     const T m_input_gain;
     const size_t m_packet_size;
-    expression_pointer<T> m_kfilter;
+    expression_handle<T, 1> m_kfilter;
     univector<T> m_short_sum_of_squares;
     univector<T> m_momentary_sum_of_squares;
     T m_output_energy_gain;
@@ -264,6 +264,10 @@ public:
         : m_sample_rate(sample_rate), m_running(true), m_need_reset(false),
           m_packet_size(sample_rate / 10 / packet_size_factor)
     {
+        KFR_LOGIC_CHECK(!channels.empty(), "channels must not be empty");
+        KFR_LOGIC_CHECK(sample_rate > 0, "sample_rate must be greater than 0");
+        KFR_LOGIC_CHECK(packet_size_factor >= 1 && packet_size_factor <= 3,
+                        "packet_size_factor must be in range [1..3]");
         for (Speaker sp : channels)
         {
             m_channels.emplace_back(sample_rate, sp, packet_size_factor, T(1));
diff --git a/include/kfr/dsp/fir.hpp b/include/kfr/dsp/fir.hpp
@@ -29,9 +29,10 @@
 #include "../base/filter.hpp"
 #include "../base/memory.hpp"
 #include "../base/reduce.hpp"
+#include "../base/simd_expressions.hpp"
+#include "../base/state_holder.hpp"
 #include "../base/univector.hpp"
 #include "../simd/vec.hpp"
-#include "state_holder.hpp"
 
 namespace kfr
 {
@@ -86,115 +87,122 @@ struct moving_sum_state<U, tag_dynamic_vector>
     mutable size_t head_cursor, tail_cursor;
 };
 
-namespace internal
-{
-
 template <size_t tapcount, typename T, typename U, typename E1, bool stateless = false>
-struct expression_short_fir : expression_with_arguments<E1>
+struct expression_short_fir : expression_with_traits<E1>
 {
-    using value_type = U;
+    using value_type = U; // override value_type
+
+    static_assert(expression_traits<E1>::dims == 1, "expression_short_fir requires input with dims == 1");
+    constexpr static inline bool random_access = false;
 
     expression_short_fir(E1&& e1, const short_fir_state<tapcount, T, U>& state)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), state(state)
+        : expression_with_traits<E1>(std::forward<E1>(e1)), state(state)
     {
     }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_short_fir& self, cinput_t cinput,
-                                                size_t index, vec_shape<U, N> x)
+    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_short_fir& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        vec<U, N> in = self.argument_first(cinput, index, x);
+        vec<U, N> in = get_elements(self.first(), index, sh);
 
-        vec<U, N> out = in * self.state.s.taps.front();
-        cforeach(csizeseq<tapcount - 1, 1>, [&](auto I) {
-            out = out +
-                  concat_and_slice<tapcount - 1 - I, N>(self.state.s.delayline, in) * self.state.s.taps[I];
-        });
-        self.state.s.delayline = concat_and_slice<N, tapcount - 1>(self.state.s.delayline, in);
+        vec<U, N> out = in * self.state->taps.front();
+        cforeach(csizeseq<tapcount - 1, 1>,
+                 [&](auto I) {
+                     out = out + concat_and_slice<tapcount - 1 - I, N>(self.state->delayline, in) *
+                                     self.state->taps[I];
+                 });
+        self.state->delayline = concat_and_slice<N, tapcount - 1>(self.state->delayline, in);
 
         return out;
     }
-    state_holder<short_fir_state<tapcount, T, U>, stateless> state;
+    state_holder<const short_fir_state<tapcount, T, U>, stateless> state;
 };
 
 template <typename T, typename U, typename E1, bool stateless = false>
-struct expression_fir : expression_with_arguments<E1>
+struct expression_fir : expression_with_traits<E1>
 {
-    using value_type = U;
+    using value_type = U; // override value_type
+
+    static_assert(expression_traits<E1>::dims == 1, "expression_fir requires input with dims == 1");
+    constexpr static inline bool random_access = false;
 
     expression_fir(E1&& e1, const fir_state<T, U>& state)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), state(state)
+        : expression_with_traits<E1>(std::forward<E1>(e1)), state(state)
     {
     }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_fir& self, cinput_t cinput, size_t index,
-                                                vec_shape<U, N> x)
+    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_fir& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const size_t tapcount = self.state.s.taps.size();
-        const vec<U, N> input = self.argument_first(cinput, index, x);
+        const size_t tapcount = self.state->taps.size();
+        const vec<U, N> input = get_elements(self.first(), index, sh);
 
         vec<U, N> output;
-        size_t cursor = self.state.s.delayline_cursor;
+        size_t cursor = self.state->delayline_cursor;
         CMT_LOOP_NOUNROLL
         for (size_t i = 0; i < N; i++)
         {
-            self.state.s.delayline.ringbuf_write(cursor, input[i]);
-            output[i] =
-                dotproduct(self.state.s.taps, self.state.s.delayline.slice(cursor) /*, tapcount - cursor*/) +
-                dotproduct(self.state.s.taps.slice(tapcount - cursor), self.state.s.delayline /*, cursor*/);
+            self.state->delayline.ringbuf_write(cursor, input[i]);
+            U v =
+                dotproduct(self.state->taps.slice(0, tapcount - cursor), self.state->delayline.slice(cursor));
+            if (cursor > 0)
+                v = v + dotproduct(self.state->taps.slice(tapcount - cursor),
+                                   self.state->delayline.slice(0, cursor));
+            output[i] = v;
         }
-        self.state.s.delayline_cursor = cursor;
+        self.state->delayline_cursor = cursor;
         return output;
     }
-    state_holder<fir_state<T, U>, stateless> state;
+    state_holder<const fir_state<T, U>, stateless> state;
 };
 
 template <typename U, typename E1, univector_tag STag, bool stateless = false>
-struct expression_moving_sum : expression_with_arguments<E1>
+struct expression_moving_sum : expression_with_traits<E1>
 {
-    using value_type = U;
+    using value_type = U; // override value_type
+
+    static_assert(expression_traits<E1>::dims == 1, "expression_moving_sum requires input with dims == 1");
+    constexpr static inline bool random_access = false;
 
     expression_moving_sum(E1&& e1, const moving_sum_state<U, STag>& state)
-        : expression_with_arguments<E1>(std::forward<E1>(e1)), state(state)
+        : expression_with_traits<E1>(std::forward<E1>(e1)), state(state)
     {
     }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_moving_sum& self, cinput_t cinput,
-                                                size_t index, vec_shape<U, N> x)
+    KFR_INTRINSIC friend vec<U, N> get_elements(const expression_moving_sum& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        static_assert(N >= 1, "");
-
-        const vec<U, N> input = self.argument_first(cinput, index, x);
+        const vec<U, N> input = get_elements(self.first(), index, sh);
 
         vec<U, N> output;
-        size_t wcursor = self.state.s.head_cursor;
-        size_t rcursor = self.state.s.tail_cursor;
+        size_t wcursor = self.state->head_cursor;
+        size_t rcursor = self.state->tail_cursor;
 
         // initial summation
-        self.state.s.delayline.ringbuf_write(wcursor, input[0]);
-        auto s    = sum(self.state.s.delayline);
+        self.state->delayline.ringbuf_write(wcursor, input[0]);
+        auto s    = sum(self.state->delayline);
         output[0] = s;
 
         CMT_LOOP_NOUNROLL
         for (size_t i = 1; i < N; i++)
         {
             U nextout;
-            self.state.s.delayline.ringbuf_read(rcursor, nextout);
-            U const nextin = input[i];
-            self.state.s.delayline.ringbuf_write(wcursor, nextin);
+            self.state->delayline.ringbuf_read(rcursor, nextout);
+            const U nextin = input[i];
+            self.state->delayline.ringbuf_write(wcursor, nextin);
             s += nextin - nextout;
             output[i] = s;
         }
-        self.state.s.delayline.ringbuf_step(rcursor, 1);
-        self.state.s.head_cursor = wcursor;
-        self.state.s.tail_cursor = rcursor;
+        self.state->delayline.ringbuf_step(rcursor, 1);
+        self.state->head_cursor = wcursor;
+        self.state->tail_cursor = rcursor;
         return output;
     }
-    state_holder<moving_sum_state<U, STag>, stateless> state;
+    state_holder<const moving_sum_state<U, STag>, stateless> state;
 };
-} // namespace internal
 
 /**
  * @brief Returns template expression that applies FIR filter to the input
@@ -202,9 +210,9 @@ struct expression_moving_sum : expression_with_arguments<E1>
  * @param taps coefficients for the FIR filter
  */
 template <typename T, typename E1, univector_tag Tag>
-KFR_INTRINSIC internal::expression_fir<T, value_type_of<E1>, E1> fir(E1&& e1, const univector<T, Tag>& taps)
+KFR_INTRINSIC expression_fir<T, expression_value_type<E1>, E1> fir(E1&& e1, const univector<T, Tag>& taps)
 {
-    return internal::expression_fir<T, value_type_of<E1>, E1>(std::forward<E1>(e1), taps.ref());
+    return expression_fir<T, expression_value_type<E1>, E1>(std::forward<E1>(e1), taps.ref());
 }
 
 /**
@@ -213,21 +221,20 @@ KFR_INTRINSIC internal::expression_fir<T, value_type_of<E1>, E1> fir(E1&& e1, co
  * @param e1 an input expression
  */
 template <typename T, typename U, typename E1>
-KFR_INTRINSIC internal::expression_fir<T, U, E1, true> fir(fir_state<T, U>& state, E1&& e1)
+KFR_INTRINSIC expression_fir<T, U, E1, true> fir(fir_state<T, U>& state, E1&& e1)
 {
-    return internal::expression_fir<T, U, E1, true>(std::forward<E1>(e1), state);
+    return expression_fir<T, U, E1, true>(std::forward<E1>(e1), state);
 }
 
 /**
  * @brief Returns template expression that performs moving sum on the input
- * @param state moving sum state
  * @param e1 an input expression
  */
 template <size_t sum_length, typename E1>
-KFR_INTRINSIC internal::expression_moving_sum<value_type_of<E1>, E1, tag_dynamic_vector> moving_sum(E1&& e1)
+KFR_INTRINSIC expression_moving_sum<expression_value_type<E1>, E1, tag_dynamic_vector> moving_sum(E1&& e1)
 {
-    return internal::expression_moving_sum<value_type_of<E1>, E1, tag_dynamic_vector>(std::forward<E1>(e1),
-                                                                                      sum_length);
+    return expression_moving_sum<expression_value_type<E1>, E1, tag_dynamic_vector>(std::forward<E1>(e1),
+                                                                                    sum_length);
 }
 
 /**
@@ -236,10 +243,9 @@ KFR_INTRINSIC internal::expression_moving_sum<value_type_of<E1>, E1, tag_dynamic
  * @param e1 an input expression
  */
 template <typename U, typename E1, univector_tag STag>
-KFR_INTRINSIC internal::expression_moving_sum<U, E1, STag, true> moving_sum(moving_sum_state<U, STag>& state,
-                                                                            E1&& e1)
+KFR_INTRINSIC expression_moving_sum<U, E1, STag, true> moving_sum(moving_sum_state<U, STag>& state, E1&& e1)
 {
-    return internal::expression_moving_sum<U, E1, STag, true>(std::forward<E1>(e1), state);
+    return expression_moving_sum<U, E1, STag, true>(std::forward<E1>(e1), state);
 }
 
 /**
@@ -249,11 +255,11 @@ KFR_INTRINSIC internal::expression_moving_sum<U, E1, STag, true> moving_sum(movi
  * @param taps coefficients for the FIR filter
  */
 template <typename T, size_t TapCount, typename E1>
-KFR_INTRINSIC internal::expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, value_type_of<E1>, E1>
+KFR_INTRINSIC expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, expression_value_type<E1>, E1>
 short_fir(E1&& e1, const univector<T, TapCount>& taps)
 {
     static_assert(TapCount >= 2 && TapCount <= 33, "Use short_fir only for small FIR filters");
-    return internal::expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, value_type_of<E1>, E1>(
+    return expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, expression_value_type<E1>, E1>(
         std::forward<E1>(e1), taps);
 }
 
@@ -264,12 +270,11 @@ short_fir(E1&& e1, const univector<T, TapCount>& taps)
  * @param e1 an input expression
  */
 template <size_t TapCount, typename T, typename U, typename E1>
-KFR_INTRINSIC internal::expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, value_type_of<E1>, E1,
-                                             true>
-    short_fir(short_fir_state<next_poweroftwo(TapCount - 1) + 1, T, U>& state, E1&& e1)
+KFR_INTRINSIC expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, expression_value_type<E1>, E1, true>
+short_fir(short_fir_state<next_poweroftwo(TapCount - 1) + 1, T, U>& state, E1&& e1)
 {
     static_assert(TapCount >= 2 && TapCount <= 33, "Use short_fir only for small FIR filters");
-    return internal::expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, value_type_of<E1>, E1, true>(
+    return expression_short_fir<next_poweroftwo(TapCount - 1) + 1, T, expression_value_type<E1>, E1, true>(
         std::forward<E1>(e1), state);
 }
 
@@ -293,7 +298,7 @@ protected:
     {
         make_univector(dest, size) = fir(state, make_univector(src, size));
     }
-    void process_expression(U* dest, const expression_pointer<U>& src, size_t size) final
+    void process_expression(U* dest, const expression_handle<U, 1>& src, size_t size) final
     {
         make_univector(dest, size) = fir(state, src);
     }
diff --git a/include/kfr/dsp/fir_design.hpp b/include/kfr/dsp/fir_design.hpp
@@ -36,11 +36,10 @@ inline namespace CMT_ARCH_NAME
 namespace internal
 {
 template <typename T>
-void fir_lowpass(univector_ref<T> taps, T cutoff, const expression_pointer<T>& window, bool normalize = true)
+void fir_lowpass(univector_ref<T> taps, T cutoff, const expression_handle<T>& window, bool normalize = true)
 {
     const T scale = 2.0 * cutoff;
-    taps          = bind_expression(fn::sinc(),
-                           symmlinspace<T, true>((taps.size() - 1) * cutoff * c_pi<T>, taps.size(), true)) *
+    taps = bind_expression(fn::sinc(), symmlinspace<T>((taps.size() - 1) * cutoff * c_pi<T>, taps.size())) *
            scale * window;
 
     if (is_odd(taps.size()))
@@ -53,11 +52,10 @@ void fir_lowpass(univector_ref<T> taps, T cutoff, const expression_pointer<T>& w
     }
 }
 template <typename T>
-void fir_highpass(univector_ref<T> taps, T cutoff, const expression_pointer<T>& window, bool normalize = true)
+void fir_highpass(univector_ref<T> taps, T cutoff, const expression_handle<T>& window, bool normalize = true)
 {
     const T scale = 2.0 * -cutoff;
-    taps          = bind_expression(fn::sinc(),
-                           symmlinspace<T, true>((taps.size() - 1) * cutoff * c_pi<T>, taps.size(), true)) *
+    taps = bind_expression(fn::sinc(), symmlinspace<T>((taps.size() - 1) * cutoff * c_pi<T>, taps.size())) *
            scale * window;
 
     if (is_odd(taps.size()))
@@ -71,7 +69,7 @@ void fir_highpass(univector_ref<T> taps, T cutoff, const expression_pointer<T>& 
 }
 
 template <typename T>
-void fir_bandpass(univector_ref<T> taps, T frequency1, T frequency2, const expression_pointer<T>& window,
+void fir_bandpass(univector_ref<T> taps, T frequency1, T frequency2, const expression_handle<T>& window,
                   bool normalize = true)
 {
     const T scale1 = 2.0 * frequency1;
@@ -80,8 +78,8 @@ void fir_bandpass(univector_ref<T> taps, T frequency1, T frequency2, const expre
     const T start1 = sc * frequency1;
     const T start2 = sc * frequency2;
 
-    taps = (bind_expression(fn::sinc(), symmlinspace<T, true>(start2, taps.size(), true)) * scale2 -
-            bind_expression(fn::sinc(), symmlinspace<T, true>(start1, taps.size(), true)) * scale1) *
+    taps = (bind_expression(fn::sinc(), symmlinspace<T>(start2, taps.size())) * scale2 -
+            bind_expression(fn::sinc(), symmlinspace<T>(start1, taps.size())) * scale1) *
            window;
 
     if (is_odd(taps.size()))
@@ -95,7 +93,7 @@ void fir_bandpass(univector_ref<T> taps, T frequency1, T frequency2, const expre
 }
 
 template <typename T>
-void fir_bandstop(univector_ref<T> taps, T frequency1, T frequency2, const expression_pointer<T>& window,
+void fir_bandstop(univector_ref<T> taps, T frequency1, T frequency2, const expression_handle<T>& window,
                   bool normalize = true)
 {
     const T scale1 = 2.0 * frequency1;
@@ -104,8 +102,8 @@ void fir_bandstop(univector_ref<T> taps, T frequency1, T frequency2, const expre
     const T start1 = sc * frequency1;
     const T start2 = sc * frequency2;
 
-    taps = (bind_expression(fn::sinc(), symmlinspace<T, true>(start1, taps.size(), true)) * scale1 -
-            bind_expression(fn::sinc(), symmlinspace<T, true>(start2, taps.size(), true)) * scale2) *
+    taps = (bind_expression(fn::sinc(), symmlinspace<T>(start1, taps.size())) * scale1 -
+            bind_expression(fn::sinc(), symmlinspace<T>(start2, taps.size())) * scale2) *
            window;
 
     if (is_odd(taps.size()))
@@ -132,7 +130,7 @@ KFR_I_FN_FULL(fir_bandstop, internal::fir_bandstop)
  */
 template <typename T, univector_tag Tag>
 KFR_INTRINSIC void fir_lowpass(univector<T, Tag>& taps, identity<T> cutoff,
-                               const expression_pointer<T>& window, bool normalize = true)
+                               const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_lowpass(taps.slice(), cutoff, window, normalize);
 }
@@ -146,7 +144,7 @@ KFR_INTRINSIC void fir_lowpass(univector<T, Tag>& taps, identity<T> cutoff,
  */
 template <typename T, univector_tag Tag>
 KFR_INTRINSIC void fir_highpass(univector<T, Tag>& taps, identity<T> cutoff,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_highpass(taps.slice(), cutoff, window, normalize);
 }
@@ -161,7 +159,7 @@ KFR_INTRINSIC void fir_highpass(univector<T, Tag>& taps, identity<T> cutoff,
  */
 template <typename T, univector_tag Tag>
 KFR_INTRINSIC void fir_bandpass(univector<T, Tag>& taps, identity<T> frequency1, identity<T> frequency2,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_bandpass(taps.slice(), frequency1, frequency2, window, normalize);
 }
@@ -176,7 +174,7 @@ KFR_INTRINSIC void fir_bandpass(univector<T, Tag>& taps, identity<T> frequency1,
  */
 template <typename T, univector_tag Tag>
 KFR_INTRINSIC void fir_bandstop(univector<T, Tag>& taps, identity<T> frequency1, identity<T> frequency2,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_bandstop(taps.slice(), frequency1, frequency2, window, normalize);
 }
@@ -186,7 +184,7 @@ KFR_INTRINSIC void fir_bandstop(univector<T, Tag>& taps, identity<T> frequency1,
  */
 template <typename T>
 KFR_INTRINSIC void fir_lowpass(const univector_ref<T>& taps, identity<T> cutoff,
-                               const expression_pointer<T>& window, bool normalize = true)
+                               const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_lowpass(taps, cutoff, window, normalize);
 }
@@ -196,7 +194,7 @@ KFR_INTRINSIC void fir_lowpass(const univector_ref<T>& taps, identity<T> cutoff,
  */
 template <typename T>
 KFR_INTRINSIC void fir_highpass(const univector_ref<T>& taps, identity<T> cutoff,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_highpass(taps, cutoff, window, normalize);
 }
@@ -206,7 +204,7 @@ KFR_INTRINSIC void fir_highpass(const univector_ref<T>& taps, identity<T> cutoff
  */
 template <typename T>
 KFR_INTRINSIC void fir_bandpass(const univector_ref<T>& taps, identity<T> frequency1, identity<T> frequency2,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_bandpass(taps, frequency1, frequency2, window, normalize);
 }
@@ -216,7 +214,7 @@ KFR_INTRINSIC void fir_bandpass(const univector_ref<T>& taps, identity<T> freque
  */
 template <typename T>
 KFR_INTRINSIC void fir_bandstop(const univector_ref<T>& taps, identity<T> frequency1, identity<T> frequency2,
-                                const expression_pointer<T>& window, bool normalize = true)
+                                const expression_handle<T>& window, bool normalize = true)
 {
     return internal::fir_bandstop(taps, frequency1, frequency2, window, normalize);
 }
diff --git a/include/kfr/dsp/fracdelay.hpp b/include/kfr/dsp/fracdelay.hpp
@@ -34,12 +34,12 @@ inline namespace CMT_ARCH_NAME
 {
 
 template <typename T, typename E1>
-KFR_INTRINSIC internal::expression_short_fir<2, T, value_type_of<E1>, E1> fracdelay(E1&& e1, T delay)
+KFR_INTRINSIC expression_short_fir<2, T, expression_value_type<E1>, E1> fracdelay(E1&& e1, T delay)
 {
-    if (delay < 0)
+    if (CMT_UNLIKELY(delay < 0))
         delay = 0;
     univector<T, 2> taps({ 1 - delay, delay });
-    return internal::expression_short_fir<2, T, value_type_of<E1>, E1>(std::forward<E1>(e1), taps);
+    return expression_short_fir<2, T, expression_value_type<E1>, E1>(std::forward<E1>(e1), taps);
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/dsp/goertzel.hpp b/include/kfr/dsp/goertzel.hpp
@@ -35,12 +35,11 @@ namespace kfr
 inline namespace CMT_ARCH_NAME
 {
 
-namespace internal
-{
-
 template <typename T>
-struct expression_goertzel : output_expression
+struct expression_goertzel : expression_traits_defaults
 {
+    using value_type = accepts_any;
+
     expression_goertzel(complex<T>& result, T omega)
         : result(result), omega(omega), coeff(2 * cos(omega)), q0(), q1(), q2()
     {
@@ -51,15 +50,15 @@ struct expression_goertzel : output_expression
         result.imag(q2 * sin(omega));
     }
     template <typename U, size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t, size_t, const vec<U, N>& x)
+    KFR_INTRINSIC friend void set_elements(expression_goertzel& self, shape<1>, const vec<U, N>& x)
     {
         vec<T, N> in = x;
         CMT_LOOP_UNROLL
         for (size_t i = 0; i < N; i++)
         {
-            q0 = coeff * q1 - q2 + in[i];
-            q2 = q1;
-            q1 = q0;
+            self.q0 = self.coeff * self.q1 - self.q2 + in[i];
+            self.q2 = self.q1;
+            self.q1 = self.q0;
         }
     }
     complex<T>& result;
@@ -71,8 +70,10 @@ struct expression_goertzel : output_expression
 };
 
 template <typename T, size_t width>
-struct expression_parallel_goertzel : output_expression
+struct expression_parallel_goertzel : expression_traits_defaults
 {
+    using value_type = accepts_any;
+
     expression_parallel_goertzel(complex<T> result[], vec<T, width> omega)
         : result(result), omega(omega), coeff(cos(omega)), q0(), q1(), q2()
     {
@@ -88,15 +89,15 @@ struct expression_parallel_goertzel : output_expression
         }
     }
     template <typename U, size_t N>
-    KFR_MEM_INTRINSIC void operator()(coutput_t, size_t, const vec<U, N>& x)
+    KFR_INTRINSIC friend void set_elements(expression_parallel_goertzel& self, shape<1>, const vec<U, N>& x)
     {
         const vec<T, N> in = x;
         CMT_LOOP_UNROLL
         for (size_t i = 0; i < N; i++)
         {
-            q0 = coeff * q1 - q2 + in[i];
-            q2 = q1;
-            q1 = q0;
+            self.q0 = self.coeff * self.q1 - self.q2 + in[i];
+            self.q2 = self.q1;
+            self.q1 = self.q0;
         }
     }
     complex<T>* result;
@@ -106,19 +107,18 @@ struct expression_parallel_goertzel : output_expression
     vec<T, width> q1;
     vec<T, width> q2;
 };
-} // namespace internal
 
 template <typename T>
-KFR_INTRINSIC internal::expression_goertzel<T> goertzel(complex<T>& result, identity<T> omega)
+KFR_INTRINSIC expression_goertzel<T> goertzel(complex<T>& result, identity<T> omega)
 {
-    return internal::expression_goertzel<T>(result, omega);
+    return expression_goertzel<T>(result, omega);
 }
 
 template <typename T, size_t width>
-KFR_INTRINSIC internal::expression_parallel_goertzel<T, width> goertzel(complex<T> (&result)[width],
-                                                                        const T (&omega)[width])
+KFR_INTRINSIC expression_parallel_goertzel<T, width> goertzel(complex<T> (&result)[width],
+                                                              const T (&omega)[width])
 {
-    return internal::expression_parallel_goertzel<T, width>(result, read<width>(omega));
+    return expression_parallel_goertzel<T, width>(result, read<width>(omega));
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/dsp/iir_design.hpp b/include/kfr/dsp/iir_design.hpp
@@ -26,8 +26,9 @@
 #pragma once
 
 #include "../base/filter.hpp"
-#include "../base/pointer.hpp"
+#include "../base/handle.hpp"
 #include "../math/hyperbolic.hpp"
+#include "../simd/complex.hpp"
 #include "../simd/impl/function.hpp"
 #include "../simd/operators.hpp"
 #include "../simd/vec.hpp"
@@ -59,7 +60,7 @@ KFR_FUNCTION zpk<T> chebyshev1(int N, identity<T> rp)
     T eps = sqrt(exp10(0.1 * rp) - 1.0);
     T mu  = 1.0 / N * std::asinh(1 / eps);
 
-    univector<T> m = linspace(-N + 1, N + 1, N, false, true);
+    univector<T> m = linspace(-N + 1, N + 1, N, false, ctrue);
 
     univector<T> theta      = c_pi<T> * m / (2 * N);
     univector<complex<T>> p = -csinh(make_complex(mu, theta));
@@ -84,17 +85,17 @@ KFR_FUNCTION zpk<T> chebyshev2(int N, identity<T> rs)
 
     if (N % 2)
     {
-        m = concatenate(linspace(-N + 1, -2, N / 2, true, true), linspace(2, N - 1, N / 2, true, true));
+        m = concatenate(linspace(-N + 1, -2, N / 2, true, ctrue), linspace(2, N - 1, N / 2, true, ctrue));
     }
     else
     {
-        m = linspace(-N + 1, N + 1, N, false, true);
+        m = linspace(-N + 1, N + 1, N, false, ctrue);
     }
 
     univector<complex<T>> z = -cconj(complex<T>(0, 1) / sin(m * c_pi<T> / (2.0 * N)));
 
     univector<complex<T>> p =
-        -cexp(complex<T>(0, 1) * c_pi<T> * linspace(-N + 1, N + 1, N, false, true) / (2 * N));
+        -cexp(complex<T>(0, 1) * c_pi<T> * linspace(-N + 1, N + 1, N, false, ctrue) / (2 * N));
     p = make_complex(sinh(mu) * real(p), cosh(mu) * imag(p));
     p = 1.0 / p;
 
@@ -897,7 +898,8 @@ template <typename T>
 KFR_FUNCTION univector<complex<T>> cplxreal(const univector<complex<T>>& list)
 {
     univector<complex<T>> x = list;
-    std::sort(x.begin(), x.end(), [](const complex<T>& a, const complex<T>& b) { return a.real() < b.real(); });
+    std::sort(x.begin(), x.end(),
+              [](const complex<T>& a, const complex<T>& b) { return a.real() < b.real(); });
     T tol                        = std::numeric_limits<T>::epsilon() * 100;
     univector<complex<T>> result = x;
     for (size_t i = result.size(); i > 1; i--)
@@ -1213,4 +1215,4 @@ KFR_FUNCTION std::vector<biquad_params<T>> to_sos(const zpk<T>& filter)
 }
 } // namespace CMT_ARCH_NAME
 
-} // namespace kfr
-\ No newline at end of file
+} // namespace kfr
diff --git a/include/kfr/dsp/mixdown.hpp b/include/kfr/dsp/mixdown.hpp
@@ -36,13 +36,11 @@ inline namespace CMT_ARCH_NAME
  * @brief Returns template expression that returns the sum of all the inputs
  */
 template <typename... E>
-internal::expression_function<fn::add, E...> mixdown(E&&... e)
+expression_function<fn::add, E...> mixdown(E&&... e)
 {
-    return internal::expression_function<fn::add, E...>(fn::add(), std::forward<E>(e)...);
+    return expression_function<fn::add, E...>(fn::add(), std::forward<E>(e)...);
 }
 
-namespace internal
-{
 struct stereo_matrix
 {
     template <typename T, size_t N>
@@ -57,7 +55,6 @@ struct stereo_matrix
     }
     const f64x2x2 matrix;
 };
-} // namespace internal
 
 template <int = 0>
 CMT_GNU_CONSTEXPR f64x2x2 matrix_sum_diff()
@@ -75,12 +72,10 @@ CMT_GNU_CONSTEXPR f64x2x2 matrix_halfsum_halfdiff()
  * channels
  */
 template <typename Left, typename Right,
-          typename Result =
-              internal::expression_function<internal::stereo_matrix, internal::expression_pack<Left, Right>>>
+          typename Result = expression_function<stereo_matrix, expression_pack<Left, Right>>>
 Result mixdown_stereo(Left&& left, Right&& right, const f64x2x2& matrix)
 {
-    return Result(internal::stereo_matrix{ matrix },
-                  pack(std::forward<Left>(left), std::forward<Right>(right)));
+    return Result(stereo_matrix{ matrix }, pack(std::forward<Left>(left), std::forward<Right>(right)));
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/dsp/oscillators.hpp b/include/kfr/dsp/oscillators.hpp
@@ -26,7 +26,9 @@
 #pragma once
 
 #include "../base/basic_expressions.hpp"
+#include "../base/simd_expressions.hpp"
 #include "../math/sin_cos.hpp"
+#include "../simd/round.hpp"
 
 namespace kfr
 {
@@ -143,9 +145,9 @@ KFR_FUNCTION T1 rawsine(const T1& x)
     return intrinsics::rawsine(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::rawsine, E1> rawsine(E1&& x)
+KFR_FUNCTION expression_function<fn::rawsine, E1> rawsine(E1&& x)
 {
-    return { fn::rawsine(), std::forward<E1>(x) };
+    return { std::forward<E1>(x) };
 }
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 sine(const T1& x)
@@ -153,9 +155,9 @@ KFR_FUNCTION T1 sine(const T1& x)
     return intrinsics::sine(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sine, E1> sine(E1&& x)
+KFR_FUNCTION expression_function<fn::sine, E1> sine(E1&& x)
 {
-    return { fn::sine(), std::forward<E1>(x) };
+    return { std::forward<E1>(x) };
 }
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 sinenorm(const T1& x)
@@ -163,7 +165,7 @@ KFR_FUNCTION T1 sinenorm(const T1& x)
     return intrinsics::sinenorm(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sinenorm, E1> sinenorm(E1&& x)
+KFR_FUNCTION expression_function<fn::sinenorm, E1> sinenorm(E1&& x)
 {
     return { fn::sinenorm(), std::forward<E1>(x) };
 }
@@ -173,7 +175,7 @@ KFR_FUNCTION T1 rawsquare(const T1& x)
     return intrinsics::rawsquare(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::rawsquare, E1> rawsquare(E1&& x)
+KFR_FUNCTION expression_function<fn::rawsquare, E1> rawsquare(E1&& x)
 {
     return { fn::rawsquare(), std::forward<E1>(x) };
 }
@@ -183,7 +185,7 @@ KFR_FUNCTION T1 square(const T1& x)
     return intrinsics::square(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::square, E1> square(E1&& x)
+KFR_FUNCTION expression_function<fn::square, E1> square(E1&& x)
 {
     return { fn::square(), std::forward<E1>(x) };
 }
@@ -193,7 +195,7 @@ KFR_FUNCTION T1 squarenorm(const T1& x)
     return intrinsics::squarenorm(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::squarenorm, E1> squarenorm(E1&& x)
+KFR_FUNCTION expression_function<fn::squarenorm, E1> squarenorm(E1&& x)
 {
     return { fn::squarenorm(), std::forward<E1>(x) };
 }
@@ -203,7 +205,7 @@ KFR_FUNCTION T1 rawtriangle(const T1& x)
     return intrinsics::rawtriangle(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::rawtriangle, E1> rawtriangle(E1&& x)
+KFR_FUNCTION expression_function<fn::rawtriangle, E1> rawtriangle(E1&& x)
 {
     return { fn::rawtriangle(), std::forward<E1>(x) };
 }
@@ -213,7 +215,7 @@ KFR_FUNCTION T1 triangle(const T1& x)
     return intrinsics::triangle(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::triangle, E1> triangle(E1&& x)
+KFR_FUNCTION expression_function<fn::triangle, E1> triangle(E1&& x)
 {
     return { fn::triangle(), std::forward<E1>(x) };
 }
@@ -223,7 +225,7 @@ KFR_FUNCTION T1 trianglenorm(const T1& x)
     return intrinsics::trianglenorm(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::trianglenorm, E1> trianglenorm(E1&& x)
+KFR_FUNCTION expression_function<fn::trianglenorm, E1> trianglenorm(E1&& x)
 {
     return { fn::trianglenorm(), std::forward<E1>(x) };
 }
@@ -233,7 +235,7 @@ KFR_FUNCTION T1 rawsawtooth(const T1& x)
     return intrinsics::rawsawtooth(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::rawsawtooth, E1> rawsawtooth(E1&& x)
+KFR_FUNCTION expression_function<fn::rawsawtooth, E1> rawsawtooth(E1&& x)
 {
     return { fn::rawsawtooth(), std::forward<E1>(x) };
 }
@@ -243,7 +245,7 @@ KFR_FUNCTION T1 sawtooth(const T1& x)
     return intrinsics::sawtooth(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sawtooth, E1> sawtooth(E1&& x)
+KFR_FUNCTION expression_function<fn::sawtooth, E1> sawtooth(E1&& x)
 {
     return { fn::sawtooth(), std::forward<E1>(x) };
 }
@@ -253,7 +255,7 @@ KFR_FUNCTION T1 sawtoothnorm(const T1& x)
     return intrinsics::sawtoothnorm(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sawtoothnorm, E1> sawtoothnorm(E1&& x)
+KFR_FUNCTION expression_function<fn::sawtoothnorm, E1> sawtoothnorm(E1&& x)
 {
     return { fn::sawtoothnorm(), std::forward<E1>(x) };
 }
@@ -263,7 +265,7 @@ KFR_FUNCTION T1 isawtooth(const T1& x)
     return intrinsics::isawtooth(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::isawtooth, E1> isawtooth(E1&& x)
+KFR_FUNCTION expression_function<fn::isawtooth, E1> isawtooth(E1&& x)
 {
     return { fn::isawtooth(), std::forward<E1>(x) };
 }
@@ -273,7 +275,7 @@ KFR_FUNCTION T1 isawtoothnorm(const T1& x)
     return intrinsics::isawtoothnorm(x);
 }
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::isawtoothnorm, E1> isawtoothnorm(E1&& x)
+KFR_FUNCTION expression_function<fn::isawtoothnorm, E1> isawtoothnorm(E1&& x)
 {
     return { fn::isawtoothnorm(), std::forward<E1>(x) };
 }
diff --git a/include/kfr/dsp/sample_rate_conversion.hpp b/include/kfr/dsp/sample_rate_conversion.hpp
@@ -27,6 +27,9 @@
 
 #include "../base/memory.hpp"
 #include "../base/reduce.hpp"
+#include "../base/univector.hpp"
+#include "../math/modzerobessel.hpp"
+#include "../math/sqrt.hpp"
 #include "../simd/impl/function.hpp"
 #include "../simd/vec.hpp"
 #include "window.hpp"
@@ -203,14 +206,16 @@ public:
             }
             else if (input_start >= input_position)
             {
-                output[i] = dotproduct(input.slice(input_start - input_position, depth), tap_ptr);
+                output[i] =
+                    dotproduct(input.slice(input_start - input_position, depth), tap_ptr.truncate(depth));
             }
             else
             {
                 const itype prev_count = input_position - input_start;
-                output[i]              = dotproduct(delay.slice(size_t(depth - prev_count)), tap_ptr) +
-                            dotproduct(input.slice(0, size_t(depth - prev_count)),
-                                       tap_ptr.slice(size_t(prev_count), size_t(depth - prev_count)));
+                output[i] =
+                    dotproduct(delay.slice(size_t(depth - prev_count)), tap_ptr.truncate(prev_count)) +
+                    dotproduct(input.truncate(size_t(depth - prev_count)),
+                               tap_ptr.slice(size_t(prev_count), size_t(depth - prev_count)));
             }
         }
 
@@ -254,28 +259,28 @@ template <size_t factor, size_t offset, typename E>
 struct expression_downsample;
 
 template <typename E>
-struct expression_upsample<2, E> : expression_with_arguments<E>
+struct expression_upsample<2, E> : expression_with_arguments<E>, expression_traits_defaults
 {
     using expression_with_arguments<E>::expression_with_arguments;
-    using value_type = value_type_of<E>;
+    using value_type = expression_value_type<E>;
     using T          = value_type;
 
     KFR_MEM_INTRINSIC size_t size() const CMT_NOEXCEPT { return expression_with_arguments<E>::size() * 2; }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_upsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N>)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_upsample& self, index_t index,
+                                                axis_params<0, N>)
     {
-        const vec<T, N / 2> x = self.argument_first(cinput, index / 2, vec_shape<T, N / 2>());
+        const vec<T, N / 2> x = get_elements(self.first(), index / 2, axis_params<0, N / 2>());
         return interleave(x, zerovector(x));
     }
-    KFR_INTRINSIC friend vec<T, 1> get_elements(const expression_upsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, 1>)
+    KFR_INTRINSIC friend vec<T, 1> get_elements(const expression_upsample& self, index_t index,
+                                                axis_params<0, 1>)
     {
         if (index & 1)
             return 0;
         else
-            return self.argument_first(cinput, index / 2, vec_shape<T, 1>());
+            return get_elements(self.first(), index / 2, axis_params<0, 1>());
     }
 };
 
@@ -283,39 +288,39 @@ template <typename E>
 struct expression_upsample<4, E> : expression_with_arguments<E>
 {
     using expression_with_arguments<E>::expression_with_arguments;
-    using value_type = value_type_of<E>;
+    using value_type = expression_value_type<E>;
     using T          = value_type;
 
     KFR_MEM_INTRINSIC size_t size() const CMT_NOEXCEPT { return expression_with_arguments<E>::size() * 4; }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_upsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N>) CMT_NOEXCEPT
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_upsample& self, index_t index,
+                                                axis_params<0, N>) CMT_NOEXCEPT
     {
-        const vec<T, N / 4> x  = self.argument_first(cinput, index / 4, vec_shape<T, N / 4>());
+        const vec<T, N / 4> x  = get_elements(self.first(), index / 4, axis_params<0, N / 4>());
         const vec<T, N / 2> xx = interleave(x, zerovector(x));
         return interleave(xx, zerovector(xx));
     }
-    KFR_INTRINSIC friend vec<T, 2> get_elements(const expression_upsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, 2>) CMT_NOEXCEPT
+    KFR_INTRINSIC friend vec<T, 2> get_elements(const expression_upsample& self, index_t index,
+                                                axis_params<0, 2>) CMT_NOEXCEPT
     {
         switch (index & 3)
         {
         case 0:
-            return interleave(self.argument_first(cinput, index / 4, vec_shape<T, 1>()), zerovector<T, 1>());
+            return interleave(get_elements(self.first(), index / 4, axis_params<0, 1>()), zerovector<T, 1>());
         case 3:
-            return interleave(zerovector<T, 1>(), self.argument_first(cinput, index / 4, vec_shape<T, 1>()));
+            return interleave(zerovector<T, 1>(), get_elements(self.first(), index / 4, axis_params<0, 1>()));
         default:
             return 0;
         }
     }
-    KFR_INTRINSIC friend vec<T, 1> get_elements(const expression_upsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, 1>) CMT_NOEXCEPT
+    KFR_INTRINSIC friend vec<T, 1> get_elements(const expression_upsample& self, index_t index,
+                                                axis_params<0, 1>) CMT_NOEXCEPT
     {
         if (index & 3)
             return 0;
         else
-            return self.argument_first(cinput, index / 4, vec_shape<T, 1>());
+            return get_elements(self.first(), index / 4, axis_params<0, 1>());
     }
 };
 
@@ -323,16 +328,16 @@ template <typename E, size_t offset>
 struct expression_downsample<2, offset, E> : expression_with_arguments<E>
 {
     using expression_with_arguments<E>::expression_with_arguments;
-    using value_type = value_type_of<E>;
+    using value_type = expression_value_type<E>;
     using T          = value_type;
 
     KFR_MEM_INTRINSIC size_t size() const CMT_NOEXCEPT { return expression_with_arguments<E>::size() / 2; }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_downsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N>) CMT_NOEXCEPT
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_downsample& self, size_t index,
+                                                axis_params<0, N>) CMT_NOEXCEPT
     {
-        const vec<T, N* 2> x = self.argument_first(cinput, index * 2, vec_shape<T, N * 2>());
+        const vec<T, N* 2> x = get_elements(self.first(), index * 2, axis_params<0, N * 2>());
         return x.shuffle(csizeseq<N, offset, 2>);
     }
 };
@@ -341,16 +346,16 @@ template <typename E, size_t offset>
 struct expression_downsample<4, offset, E> : expression_with_arguments<E>
 {
     using expression_with_arguments<E>::expression_with_arguments;
-    using value_type = value_type_of<E>;
+    using value_type = expression_value_type<E>;
     using T          = value_type;
 
     KFR_MEM_INTRINSIC size_t size() const CMT_NOEXCEPT { return expression_with_arguments<E>::size() / 4; }
 
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_downsample& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N>) CMT_NOEXCEPT
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_downsample& self, index_t index,
+                                                axis_params<0, N>) CMT_NOEXCEPT
     {
-        const vec<T, N* 4> x = self.argument_first(cinput, index * 4, vec_shape<T, N * 4>());
+        const vec<T, N* 4> x = get_elements(self.first(), index * 4, axis_params<0, N * 4>());
         return x.shuffle(csizeseq<N, offset, 4>);
     }
 };
diff --git a/include/kfr/dsp/special.hpp b/include/kfr/dsp/special.hpp
@@ -40,12 +40,15 @@ inline namespace CMT_ARCH_NAME
 template <typename T = int>
 auto unitimpulse()
 {
-    return lambda<T>([](cinput_t, size_t index, auto x) {
-        if (index == 0)
-            return onoff(x);
-        else
-            return zerovector(x);
-    });
+    return lambda<T>(
+        [](shape<1> index, auto x)
+        {
+            vec_shape<T, decltype(x)::value> sh{};
+            if (CMT_UNLIKELY(index[0] == 0))
+                return onoff(sh);
+            else
+                return zerovector(sh);
+        });
 }
 
 template <typename T = fbase>
diff --git a/include/kfr/dsp/state_holder.hpp b/include/kfr/dsp/state_holder.hpp
@@ -1,41 +0,0 @@
-/** @addtogroup fir
- *  @{
- */
-/**
- * KFR (http://kfrlib.com)
- * Copyright (C) 2016-2022 Fractalium Ltd
- * See LICENSE.txt for details
- */
-#pragma once
-
-#include "../cident.h"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-namespace internal
-{
-
-template <typename T, bool stateless>
-struct state_holder
-{
-    state_holder()                    = delete;
-    state_holder(const state_holder&) = default;
-    state_holder(state_holder&&)      = default;
-    constexpr state_holder(const T& state) CMT_NOEXCEPT : s(state) {}
-    T s;
-};
-
-template <typename T>
-struct state_holder<T, true>
-{
-    state_holder()                    = delete;
-    state_holder(const state_holder&) = default;
-    state_holder(state_holder&&)      = default;
-    constexpr state_holder(const T& state) CMT_NOEXCEPT : s(state) {}
-    const T& s;
-};
-} // namespace internal
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/dsp/units.hpp b/include/kfr/dsp/units.hpp
@@ -26,8 +26,8 @@
 #pragma once
 
 #include "../base/basic_expressions.hpp"
-#include "../math/abs.hpp"
 #include "../math/log_exp.hpp"
+#include "../simd/abs.hpp"
 #include "../simd/vec.hpp"
 
 namespace kfr
@@ -40,7 +40,7 @@ using sample_rate_t = double;
 namespace intrinsics
 {
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> fix_nans(const T1& val, const T2& replacement)
+KFR_INTRINSIC std::common_type_t<T1, T2> fix_nans(const T1& val, const T2& replacement)
 {
     return select(val != val, replacement, val);
 }
@@ -86,7 +86,7 @@ KFR_INTRINSIC Tout power_to_dB(const T& x)
 template <typename T, typename Tout = flt_type<T>>
 KFR_INTRINSIC Tout dB_to_power(const T& x)
 {
-    if (x == -c_infinity<Tout>)
+    if (CMT_UNLIKELY(x == -c_infinity<Tout>))
         return 0.0;
     else
         return exp(x * (c_log_10<Tout> / 10.0));
@@ -108,7 +108,7 @@ KFR_INTRINSIC TF hertz_to_note(const T& hertz)
     return intrinsics::log_fmadd(hertz, subtype<TF>(17.312340490667560888319096172023), offset);
 }
 
-template <typename T1, typename T2, typename T3, typename Tc = flt_type<common_type<T1, T2, T3, f32>>>
+template <typename T1, typename T2, typename T3, typename Tc = flt_type<std::common_type_t<T1, T2, T3, f32>>>
 KFR_INTRINSIC Tc note_to_hertz(const T1& note, const T2& tunenote, const T3& tunehertz)
 {
     const Tc offset = log(tunehertz) - tunenote * subtype<Tc>(0.05776226504666210911810267678818);
@@ -116,7 +116,7 @@ KFR_INTRINSIC Tc note_to_hertz(const T1& note, const T2& tunenote, const T3& tun
     return intrinsics::exp_fmadd(note, subtype<Tc>(0.05776226504666210911810267678818), offset);
 }
 
-template <typename T1, typename T2, typename T3, typename Tc = flt_type<common_type<T1, T2, T3, f32>>>
+template <typename T1, typename T2, typename T3, typename Tc = flt_type<std::common_type_t<T1, T2, T3, f32>>>
 KFR_INTRINSIC Tc hertz_to_note(const T1& hertz, const T2& tunenote, const T3& tunehertz)
 {
     const Tc offset = tunenote - log(tunehertz) * subtype<Tc>(17.312340490667560888319096172023);
@@ -137,8 +137,8 @@ KFR_FUNCTION flt_type<T1> note_to_hertz(const T1& x)
     return intrinsics::note_to_hertz(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::note_to_hertz, E1> note_to_hertz(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::note_to_hertz, E1> note_to_hertz(E1&& x)
 {
     return { fn::note_to_hertz(), std::forward<E1>(x) };
 }
@@ -149,8 +149,8 @@ KFR_FUNCTION flt_type<T1> hertz_to_note(const T1& x)
     return intrinsics::hertz_to_note(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::hertz_to_note, E1> hertz_to_note(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::hertz_to_note, E1> hertz_to_note(E1&& x)
 {
     return { fn::hertz_to_note(), std::forward<E1>(x) };
 }
@@ -161,8 +161,8 @@ KFR_FUNCTION flt_type<T1> amp_to_dB(const T1& x)
     return intrinsics::amp_to_dB(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::amp_to_dB, E1> amp_to_dB(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::amp_to_dB, E1> amp_to_dB(E1&& x)
 {
     return { fn::amp_to_dB(), std::forward<E1>(x) };
 }
@@ -173,8 +173,8 @@ KFR_FUNCTION flt_type<T1> dB_to_amp(const T1& x)
     return intrinsics::dB_to_amp(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::dB_to_amp, E1> dB_to_amp(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::dB_to_amp, E1> dB_to_amp(E1&& x)
 {
     return { fn::dB_to_amp(), std::forward<E1>(x) };
 }
@@ -185,8 +185,8 @@ KFR_FUNCTION flt_type<T1> power_to_dB(const T1& x)
     return intrinsics::power_to_dB(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::power_to_dB, E1> power_to_dB(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::power_to_dB, E1> power_to_dB(E1&& x)
 {
     return { fn::power_to_dB(), std::forward<E1>(x) };
 }
@@ -197,8 +197,8 @@ KFR_FUNCTION flt_type<T1> dB_to_power(const T1& x)
     return intrinsics::dB_to_power(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::dB_to_power, E1> dB_to_power(E1&& x)
+template <typename E1, KFR_ACCEPT_EXPRESSIONS(E1)>
+KFR_FUNCTION expression_function<fn::dB_to_power, E1> dB_to_power(E1&& x)
 {
     return { fn::dB_to_power(), std::forward<E1>(x) };
 }
diff --git a/include/kfr/dsp/waveshaper.hpp b/include/kfr/dsp/waveshaper.hpp
@@ -25,8 +25,9 @@
  */
 #pragma once
 
-#include "../math/clamp.hpp"
+#include "../base/expression.hpp"
 #include "../math/hyperbolic.hpp"
+#include "../simd/clamp.hpp"
 #include "../simd/operators.hpp"
 
 namespace kfr
@@ -63,13 +64,13 @@ KFR_FUNCTION flt_type<T1> saturate_II(const T1& x)
 KFR_FN(saturate_II)
 
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::saturate_II, E1> saturate_I(E1&& x)
+KFR_FUNCTION expression_function<fn::saturate_II, E1> saturate_I(E1&& x)
 {
     return { fn::saturate_I(), std::forward<E1>(x) };
 }
 
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::saturate_II, E1> saturate_II(E1&& x)
+KFR_FUNCTION expression_function<fn::saturate_II, E1> saturate_II(E1&& x)
 {
     return { fn::saturate_II(), std::forward<E1>(x) };
 }
diff --git a/include/kfr/dsp/weighting.hpp b/include/kfr/dsp/weighting.hpp
@@ -25,6 +25,7 @@
  */
 #pragma once
 
+#include "../base/expression.hpp"
 #include "../math/sqrt.hpp"
 #include "../simd/operators.hpp"
 
@@ -103,7 +104,7 @@ KFR_INTRINSIC T1 aweighting(const T1& x)
 }
 
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::aweighting, E1> aweighting(E1&& x)
+KFR_INTRINSIC expression_function<fn::aweighting, E1> aweighting(E1&& x)
 {
     return { fn::aweighting(), std::forward<E1>(x) };
 }
@@ -115,7 +116,7 @@ KFR_INTRINSIC T1 bweighting(const T1& x)
 }
 
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::bweighting, E1> bweighting(E1&& x)
+KFR_INTRINSIC expression_function<fn::bweighting, E1> bweighting(E1&& x)
 {
     return { fn::bweighting(), std::forward<E1>(x) };
 }
@@ -127,7 +128,7 @@ KFR_INTRINSIC T1 cweighting(const T1& x)
 }
 
 template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::cweighting, E1> cweighting(E1&& x)
+KFR_INTRINSIC expression_function<fn::cweighting, E1> cweighting(E1&& x)
 {
     return { fn::cweighting(), std::forward<E1>(x) };
 }
diff --git a/include/kfr/dsp/window.hpp b/include/kfr/dsp/window.hpp
@@ -25,7 +25,7 @@
  */
 #pragma once
 
-#include "../base/pointer.hpp"
+#include "../base/handle.hpp"
 #include "../math/log_exp.hpp"
 #include "../math/modzerobessel.hpp"
 #include "../math/sin_cos.hpp"
@@ -51,6 +51,7 @@ enum class window_type
     flattop         = 12,
     gaussian        = 13,
     lanczos         = 14,
+    cosine_np       = 15,
 };
 
 template <window_type type>
@@ -68,324 +69,280 @@ enum class window_symmetry
 inline namespace CMT_ARCH_NAME
 {
 
-namespace internal
+enum class window_metrics
 {
+    metrics_0_1,
+    metrics_m1_1,
+    metrics_mpi_pi,
+    metrics_m1_1_trunc,
+    metrics_m1_1_trunc2,
+};
 
 template <typename T>
-struct window_linspace_0_1 : expression_linspace<T>
+struct window_linspace : expression_linspace<T>
 {
-    window_linspace_0_1(size_t size, window_symmetry symmetry)
-        : expression_linspace<T>(0, 1, size, symmetry == window_symmetry::symmetric)
+    window_linspace(cval_t<window_metrics, window_metrics::metrics_0_1>, size_t size,
+                    window_symmetry symmetry)
+        : expression_linspace<T>{ 0, 1, size, symmetry == window_symmetry::symmetric }
     {
     }
-};
-
-template <typename T>
-struct window_linspace_m1_1 : expression_linspace<T>
-{
-    window_linspace_m1_1(size_t size, window_symmetry symmetry)
-        : expression_linspace<T>(-1, 1, size, symmetry == window_symmetry::symmetric)
+    window_linspace(cval_t<window_metrics, window_metrics::metrics_m1_1>, size_t size,
+                    window_symmetry symmetry)
+        : expression_linspace<T>{ -1, 1, size, symmetry == window_symmetry::symmetric }
     {
     }
-};
-
-template <typename T>
-struct window_linspace_mpi_pi : expression_linspace<T>
-{
-    window_linspace_mpi_pi(size_t size, window_symmetry symmetry)
-        : expression_linspace<T>(-c_pi<T>, +c_pi<T>, size, symmetry == window_symmetry::symmetric)
+    window_linspace(cval_t<window_metrics, window_metrics::metrics_mpi_pi>, size_t size,
+                    window_symmetry symmetry)
+        : expression_linspace<T>{ -c_pi<T>, +c_pi<T>, size, symmetry == window_symmetry::symmetric }
     {
     }
-};
-
-template <typename T>
-struct window_linspace_m1_1_trunc : expression_linspace<T>
-{
-    window_linspace_m1_1_trunc(size_t size, window_symmetry symmetry)
-        : expression_linspace<T>(-T(size - 1) / size, T(size - 1) / size, size,
-                                 symmetry == window_symmetry::symmetric)
+    window_linspace(cval_t<window_metrics, window_metrics::metrics_m1_1_trunc>, size_t size,
+                    window_symmetry symmetry)
+        : expression_linspace<T>{ symmetric_linspace, calc_p(size, symmetry == window_symmetry::symmetric),
+                                  size, symmetry == window_symmetry::symmetric }
+    {
+    }
+    window_linspace(cval_t<window_metrics, window_metrics::metrics_m1_1_trunc2>, size_t size,
+                    window_symmetry symmetry)
+        : expression_linspace<T>{ symmetric_linspace, calc_p2(size, symmetry == window_symmetry::symmetric),
+                                  size, symmetry == window_symmetry::symmetric }
     {
     }
+    static T calc_p(size_t size, bool sym)
+    {
+        if (!sym)
+            ++size;
+        return T(size - 1) / (size);
+    }
+    static T calc_p2(size_t size, bool sym)
+    {
+        if (!sym)
+            ++size;
+        return (size & 1) ? T(size - 1) / T(size + 1) : T(size - 1) / (size);
+    }
 };
 
 template <typename T>
-struct window_linspace_m1_1_trunc2 : expression_linspace<T>
+struct expression_window : expression_traits_defaults
 {
-    window_linspace_m1_1_trunc2(size_t size, window_symmetry symmetry)
-        : expression_linspace<T>(symmetric_linspace,
-                                 (size & 1) ? T(size - 1) / T(size + 1) : T(size - 1) / (size), size,
-                                 symmetry == window_symmetry::symmetric)
+    using value_type             = T;
+    constexpr static size_t dims = 1;
+    constexpr static shape<dims> get_shape(const expression_window<T>& self)
     {
+        return shape<dims>(self.m_size);
     }
+    constexpr static shape<dims> get_shape() { return shape<1>(undefined_size); }
+
+    constexpr expression_window(size_t size) : m_size(size) {}
+
+    size_t m_size;
+    size_t size() const { return m_size; }
 };
 
 template <typename T>
-struct expression_rectangular : input_expression
+struct expression_rectangular : expression_window<T>
 {
-    using value_type = T;
-
-    expression_rectangular(size_t size, T = T(), window_symmetry = window_symmetry::symmetric) : m_size(size)
+    expression_rectangular(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
+        : expression_window<T>(size)
     {
     }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_rectangular& self, cinput_t, size_t index,
-                                                vec_shape<T, N>)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_rectangular& self, shape<1> index,
+                                                axis_params<0, N>)
     {
         using TI           = utype<T>;
-        const vec<TI, N> i = enumerate(vec_shape<TI, N>()) + static_cast<TI>(index);
+        const vec<TI, N> i = enumerate(vec_shape<TI, N>()) + static_cast<TI>(index.front());
         return select(i < static_cast<TI>(self.m_size), T(1), T(0));
     }
-    size_t size() const { return m_size; }
-
-private:
-    size_t m_size;
 };
 
-template <typename T>
-struct expression_triangular : input_expression
+template <typename T, window_metrics metrics>
+struct expression_window_with_metrics : expression_window<T>
 {
-    using value_type = T;
-
-    expression_triangular(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
-    template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_triangular& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    expression_window_with_metrics(size_t size, T arg = T(),
+                                   window_symmetry symmetry = window_symmetry::symmetric)
+        : expression_window<T>(size), linspace(cval<window_metrics, metrics>, size, symmetry), arg(arg)
     {
-        return 1 - abs(get_elements(self.linspace, cinput, index, y));
     }
-    size_t size() const { return m_size; }
 
-private:
-    window_linspace_m1_1_trunc2<T> linspace;
-    size_t m_size;
+protected:
+    window_linspace<T> linspace;
+    T arg;
 };
 
 template <typename T>
-struct expression_bartlett : input_expression
+struct expression_triangular : expression_window_with_metrics<T, window_metrics::metrics_m1_1_trunc2>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T,
+                                         window_metrics::metrics_m1_1_trunc2>::expression_window_with_metrics;
 
-    expression_bartlett(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
+    template <size_t N>
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_triangular& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
+        return 1 - abs(get_elements(self.linspace, index, sh));
     }
+};
+
+template <typename T>
+struct expression_bartlett : expression_window_with_metrics<T, window_metrics::metrics_m1_1>
+{
+    using expression_window_with_metrics<T, window_metrics::metrics_m1_1>::expression_window_with_metrics;
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bartlett& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bartlett& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return 1 - abs(get_elements(self.linspace, cinput, index, y));
+        return 1 - abs(get_elements(self.linspace, index, sh));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_m1_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_cosine : input_expression
+struct expression_cosine : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
-    expression_cosine(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
+    template <size_t N>
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_cosine& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
+        return sin(c_pi<T> * (get_elements(self.linspace, index, sh)));
     }
+};
+template <typename T>
+struct expression_cosine_np : expression_window_with_metrics<T, window_metrics::metrics_m1_1_trunc>
+{
+    using expression_window_with_metrics<T,
+                                         window_metrics::metrics_m1_1_trunc>::expression_window_with_metrics;
+
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_cosine& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_cosine_np& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return sin(c_pi<T> * get_elements(self.linspace, cinput, index, y));
+        return sin(c_pi<T, 1, 2> * (1 + get_elements(self.linspace, index, sh)));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_hann : input_expression
+struct expression_hann : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
-    expression_hann(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_hann& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_hann& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return T(0.5) * (T(1) - cos(c_pi<T, 2> * get_elements(self.linspace, cinput, index, y)));
+        return T(0.5) * (T(1) - cos(c_pi<T, 2> * get_elements(self.linspace, index, sh)));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_bartlett_hann : input_expression
+struct expression_bartlett_hann : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
-    expression_bartlett_hann(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bartlett_hann& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bartlett_hann& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> xx = get_elements(self.linspace, cinput, index, y);
+        const vec<T, N> xx = get_elements(self.linspace, index, sh);
         return T(0.62) - T(0.48) * abs(xx - T(0.5)) + T(0.38) * cos(c_pi<T, 2> * (xx - T(0.5)));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_hamming : input_expression
+struct expression_hamming : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
-
     expression_hamming(size_t size, T alpha = 0.54, window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), alpha(alpha), m_size(size)
+        : expression_window_with_metrics<T, window_metrics::metrics_0_1>(size, alpha, symmetry)
     {
     }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_hamming& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_hamming& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return self.alpha -
-               (T(1.0) - self.alpha) * (cos(c_pi<T, 2> * get_elements(self.linspace, cinput, index, y)));
+        return self.arg - (T(1.0) - self.arg) * (cos(c_pi<T, 2> * get_elements(self.linspace, index, sh)));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    T alpha;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_bohman : input_expression
+struct expression_bohman : expression_window_with_metrics<T, window_metrics::metrics_m1_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_m1_1>::expression_window_with_metrics;
 
-    expression_bohman(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bohman& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_bohman& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> n = abs(get_elements(self.linspace, cinput, index, y));
+        const vec<T, N> n = abs(get_elements(self.linspace, index, sh));
         return (T(1) - n) * cos(c_pi<T> * n) + (T(1) / c_pi<T>)*sin(c_pi<T> * n);
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_m1_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_blackman : input_expression
+struct expression_blackman : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
     expression_blackman(size_t size, T alpha = 0.16, window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), a0((1 - alpha) * 0.5), a1(0.5), a2(alpha * 0.5), m_size(size)
+        : expression_window_with_metrics<T, window_metrics::metrics_0_1>(size, alpha, symmetry),
+          a0((1 - alpha) * 0.5), a1(0.5), a2(alpha * 0.5)
     {
     }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_blackman& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_blackman& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> n = get_elements(self.linspace, cinput, index, y);
+        const vec<T, N> n = get_elements(self.linspace, index, sh);
         return self.a0 - self.a1 * cos(c_pi<T, 2> * n) + self.a2 * cos(c_pi<T, 4> * n);
     }
-    size_t size() const { return m_size; }
 
 private:
-    window_linspace_0_1<T> linspace;
     T a0, a1, a2;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_blackman_harris : input_expression
+struct expression_blackman_harris : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
-    expression_blackman_harris(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_blackman_harris& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_blackman_harris& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> n = get_elements(self.linspace, cinput, index, y) * c_pi<T, 2>;
+        const vec<T, N> n = get_elements(self.linspace, index, sh) * c_pi<T, 2>;
         return T(0.35875) - T(0.48829) * cos(n) + T(0.14128) * cos(2 * n) - T(0.01168) * cos(3 * n);
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_kaiser : input_expression
+struct expression_kaiser : expression_window_with_metrics<T, window_metrics::metrics_m1_1>
 {
-    using value_type = T;
-
     expression_kaiser(size_t size, T beta = 0.5, window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), beta(beta), m(reciprocal(modzerobessel(make_vector(beta))[0])),
-          m_size(size)
+        : expression_window_with_metrics<T, window_metrics::metrics_m1_1>(size, beta, symmetry),
+          m(reciprocal(modzerobessel(make_vector(beta))[0]))
     {
     }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_kaiser& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_kaiser& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return modzerobessel(self.beta * sqrt(1 - sqr(get_elements(self.linspace, cinput, index, y)))) *
-               self.m;
+        return modzerobessel(self.arg * sqrt(1 - sqr(get_elements(self.linspace, index, sh)))) * self.m;
     }
-    size_t size() const { return m_size; }
 
 private:
-    window_linspace_m1_1<T> linspace;
-    T beta;
     T m;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_flattop : input_expression
+struct expression_flattop : expression_window_with_metrics<T, window_metrics::metrics_0_1>
 {
-    using value_type = T;
+    using expression_window_with_metrics<T, window_metrics::metrics_0_1>::expression_window_with_metrics;
 
-    expression_flattop(size_t size, T = T(), window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), m_size(size)
-    {
-    }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_flattop& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_flattop& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        const vec<T, N> n = get_elements(self.linspace, cinput, index, y) * c_pi<T, 2>;
+        const vec<T, N> n = get_elements(self.linspace, index, sh) * c_pi<T, 2>;
         constexpr T a0    = 0.21557895;
         constexpr T a1    = 0.41663158;
         constexpr T a2    = 0.277263158;
@@ -393,58 +350,34 @@ struct expression_flattop : input_expression
         constexpr T a4    = 0.006947368;
         return a0 - a1 * cos(n) + a2 * cos(2 * n) - a3 * cos(3 * n) + a4 * cos(4 * n);
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_0_1<T> linspace;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_gaussian : input_expression
+struct expression_gaussian : expression_window_with_metrics<T, window_metrics::metrics_m1_1_trunc>
 {
-    using value_type = T;
-
+    /// alpha = std / 2N
     expression_gaussian(size_t size, T alpha = 2.5, window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), alpha(alpha), m_size(size)
+        : expression_window_with_metrics<T, window_metrics::metrics_m1_1_trunc>(size, alpha, symmetry)
     {
     }
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_gaussian& self, cinput_t cinput,
-                                                size_t index, vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_gaussian& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return exp(T(-0.5) * sqr(self.alpha * get_elements(self.linspace, cinput, index, y)));
+        return exp(T(-0.5) * sqr(self.arg * get_elements(self.linspace, index, sh)));
     }
-
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_m1_1_trunc<T> linspace;
-    T alpha;
-    size_t m_size;
 };
 
 template <typename T>
-struct expression_lanczos : input_expression
+struct expression_lanczos : expression_window_with_metrics<T, window_metrics::metrics_mpi_pi>
 {
-    using value_type = T;
-
-    expression_lanczos(size_t size, T alpha = 2.5, window_symmetry symmetry = window_symmetry::symmetric)
-        : linspace(size, symmetry), alpha(alpha), m_size(size)
-    {
-    }
+    using expression_window_with_metrics<T, window_metrics::metrics_mpi_pi>::expression_window_with_metrics;
     template <size_t N>
-    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_lanczos& self, cinput_t cinput, size_t index,
-                                                vec_shape<T, N> y)
+    KFR_INTRINSIC friend vec<T, N> get_elements(const expression_lanczos& self, shape<1> index,
+                                                axis_params<0, N> sh)
     {
-        return sinc(get_elements(self.linspace, cinput, index, y));
+        return sinc(get_elements(self.linspace, index, sh));
     }
-    size_t size() const { return m_size; }
-
-private:
-    window_linspace_mpi_pi<T> linspace;
-    T alpha;
-    size_t m_size;
 };
 
 template <window_type>
@@ -471,62 +404,70 @@ KFR_WINDOW_BY_TYPE(kaiser)
 KFR_WINDOW_BY_TYPE(flattop)
 KFR_WINDOW_BY_TYPE(gaussian)
 KFR_WINDOW_BY_TYPE(lanczos)
+KFR_WINDOW_BY_TYPE(cosine_np)
 #undef KFR_WINDOW_BY_TYPE
-} // namespace internal
 
 /**
  * @brief Returns template expression that generates Rrectangular window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_rectangular<T> window_rectangular(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_rectangular<T> window_rectangular(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_rectangular<T>(size, T());
+    return expression_rectangular<T>(size, T());
 }
 
 /**
  * @brief Returns template expression that generates Triangular window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_triangular<T> window_triangular(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_triangular<T> window_triangular(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_triangular<T>(size);
+    return expression_triangular<T>(size);
 }
 
 /**
  * @brief Returns template expression that generates Bartlett window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_bartlett<T> window_bartlett(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_bartlett<T> window_bartlett(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_bartlett<T>(size);
+    return expression_bartlett<T>(size);
 }
 
 /**
  * @brief Returns template expression that generates Cosine window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_cosine<T> window_cosine(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_cosine<T> window_cosine(size_t size, ctype_t<T> = ctype_t<T>())
+{
+    return expression_cosine<T>(size);
+}
+
+/**
+ * @brief Returns template expression that generates Cosine window (numpy compatible) of length @c size
+ */
+template <typename T = fbase>
+KFR_FUNCTION expression_cosine_np<T> window_cosine_np(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_cosine<T>(size);
+    return expression_cosine_np<T>(size);
 }
 
 /**
  * @brief Returns template expression that generates Hann window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_hann<T> window_hann(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_hann<T> window_hann(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_hann<T>(size);
+    return expression_hann<T>(size);
 }
 
 /**
  * @brief Returns template expression that generates Bartlett-Hann window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_bartlett_hann<T> window_bartlett_hann(size_t size,
-                                                                        ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_bartlett_hann<T> window_bartlett_hann(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_bartlett_hann<T>(size);
+    return expression_bartlett_hann<T>(size);
 }
 
 /**
@@ -534,19 +475,19 @@ KFR_FUNCTION internal::expression_bartlett_hann<T> window_bartlett_hann(size_t s
  * alpha
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_hamming<T> window_hamming(size_t size, identity<T> alpha = 0.54,
-                                                            ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_hamming<T> window_hamming(size_t size, identity<T> alpha = 0.54,
+                                                  ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_hamming<T>(size, alpha);
+    return expression_hamming<T>(size, alpha);
 }
 
 /**
  * @brief Returns template expression that generates Bohman window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_bohman<T> window_bohman(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_bohman<T> window_bohman(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_bohman<T>(size);
+    return expression_bohman<T>(size);
 }
 
 /**
@@ -554,21 +495,21 @@ KFR_FUNCTION internal::expression_bohman<T> window_bohman(size_t size, ctype_t<T
  * alpha
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_blackman<T> window_blackman(
-    size_t size, identity<T> alpha = 0.16, window_symmetry symmetry = window_symmetry::symmetric,
-    ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_blackman<T> window_blackman(size_t size, identity<T> alpha = 0.16,
+                                                    window_symmetry symmetry = window_symmetry::symmetric,
+                                                    ctype_t<T>               = ctype_t<T>())
 {
-    return internal::expression_blackman<T>(size, alpha, symmetry);
+    return expression_blackman<T>(size, alpha, symmetry);
 }
 
 /**
  * @brief Returns template expression that generates Blackman-Harris window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_blackman_harris<T> window_blackman_harris(
+KFR_FUNCTION expression_blackman_harris<T> window_blackman_harris(
     size_t size, window_symmetry symmetry = window_symmetry::symmetric, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_blackman_harris<T>(size, T(), symmetry);
+    return expression_blackman_harris<T>(size, T(), symmetry);
 }
 
 /**
@@ -576,19 +517,19 @@ KFR_FUNCTION internal::expression_blackman_harris<T> window_blackman_harris(
  * beta
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_kaiser<T> window_kaiser(size_t size, identity<T> beta = T(0.5),
-                                                          ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_kaiser<T> window_kaiser(size_t size, identity<T> beta = T(0.5),
+                                                ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_kaiser<T>(size, beta);
+    return expression_kaiser<T>(size, beta);
 }
 
 /**
  * @brief Returns template expression that generates Flat top window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_flattop<T> window_flattop(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_flattop<T> window_flattop(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_flattop<T>(size);
+    return expression_flattop<T>(size);
 }
 
 /**
@@ -596,23 +537,23 @@ KFR_FUNCTION internal::expression_flattop<T> window_flattop(size_t size, ctype_t
  * alpha
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_gaussian<T> window_gaussian(size_t size, identity<T> alpha = 2.5,
-                                                              ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_gaussian<T> window_gaussian(size_t size, identity<T> alpha = 2.5,
+                                                    ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_gaussian<T>(size, alpha);
+    return expression_gaussian<T>(size, alpha);
 }
 
 /**
  * @brief Returns template expression that generates Lanczos window of length @c size
  */
 template <typename T = fbase>
-KFR_FUNCTION internal::expression_lanczos<T> window_lanczos(size_t size, ctype_t<T> = ctype_t<T>())
+KFR_FUNCTION expression_lanczos<T> window_lanczos(size_t size, ctype_t<T> = ctype_t<T>())
 {
-    return internal::expression_lanczos<T>(size);
+    return expression_lanczos<T>(size);
 }
 
 template <typename T           = fbase, window_type type,
-          typename window_expr = typename internal::window_by_type<type>::template type<T>>
+          typename window_expr = typename window_by_type<type>::template type<T>>
 CMT_NOINLINE window_expr window(size_t size, cval_t<window_type, type>, identity<T> win_param = T(),
                                 window_symmetry symmetry = window_symmetry::symmetric,
                                 ctype_t<T>               = ctype_t<T>())
@@ -621,22 +562,22 @@ CMT_NOINLINE window_expr window(size_t size, cval_t<window_type, type>, identity
 }
 
 template <typename T = fbase>
-CMT_NOINLINE expression_pointer<T> window(size_t size, window_type type, identity<T> win_param,
-                                          window_symmetry symmetry = window_symmetry::symmetric,
-                                          ctype_t<T>               = ctype_t<T>())
+CMT_NOINLINE expression_handle<T> window(size_t size, window_type type, identity<T> win_param,
+                                         window_symmetry symmetry = window_symmetry::symmetric,
+                                         ctype_t<T>               = ctype_t<T>())
 {
     return cswitch(
         cvals_t<window_type, window_type::rectangular, window_type::triangular, window_type::bartlett,
                 window_type::cosine, window_type::hann, window_type::bartlett_hann, window_type::hamming,
                 window_type::bohman, window_type::blackman, window_type::blackman_harris, window_type::kaiser,
-                window_type::flattop, window_type::gaussian, window_type::lanczos>(),
+                window_type::flattop, window_type::gaussian, window_type::lanczos, window_type::cosine_np>(),
         type,
-        [size, win_param, symmetry](auto win) {
+        [size, win_param, symmetry](auto win)
+        {
             constexpr window_type window = val_of(decltype(win)());
-            return to_pointer(
-                typename internal::window_by_type<window>::template type<T>(size, win_param, symmetry));
+            return to_handle(typename window_by_type<window>::template type<T>(size, win_param, symmetry));
         },
-        fn_generic::returns<expression_pointer<T>>());
+        fn_generic::returns<expression_handle<T>>());
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/except.hpp b/include/kfr/except.hpp
@@ -0,0 +1,99 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+#include "cident.h"
+#include "cometa/string.hpp"
+#include <exception>
+
+namespace kfr
+{
+
+class exception : public std::exception
+{
+public:
+    using std::exception::exception;
+    exception(std::string str) : m_what(std::move(str)) {}
+
+    const char* what() const noexcept final { return m_what.c_str(); }
+
+private:
+    std::string m_what;
+};
+class logic_error : public exception
+{
+public:
+    using exception::exception;
+};
+class runtime_error : public exception
+{
+public:
+    using exception::exception;
+};
+
+#ifndef KFR_THROW_EXCEPTION
+#define KFR_THROW_EXCEPTION(kind, ...)                                                                       \
+    do                                                                                                       \
+    {                                                                                                        \
+        throw ::kfr::CMT_CONCAT(kind, _error)(kfr::as_string(__VA_ARGS__));                                  \
+    } while (0)
+#endif
+
+#define KFR_PRINT_AND_ABORT(kind, ...)                                                                       \
+    do                                                                                                       \
+    {                                                                                                        \
+        std::string s = kfr::as_string(__VA_ARGS__);                                                         \
+        std::fprintf(stderr, "KFR " CMT_STRINGIFY(kind) " error: %s\n", s.c_str());                          \
+        std::fflush(stderr);                                                                                 \
+        std::abort();                                                                                        \
+    } while (0)
+
+#if defined __cpp_exceptions || defined _HAS_EXCEPTIONS || defined _EXCEPTIONS
+#define KFR_REPORT_ERROR KFR_THROW_EXCEPTION
+#else
+#define KFR_REPORT_ERROR KFR_PRINT_AND_ABORT
+#endif
+
+#define KFR_CHECK_IMPL(cond, kind, ...)                                                                      \
+    do                                                                                                       \
+    {                                                                                                        \
+        if (CMT_UNLIKELY(!(cond)))                                                                           \
+            KFR_REPORT_ERROR(kind, __VA_ARGS__);                                                             \
+    } while (0)
+
+#define KFR_REPORT_RUNTIME_ERROR(...) KFR_REPORT_ERROR(runtime, __VA_ARGS__)
+
+#define KFR_REPORT_LOGIC_ERROR(...) KFR_REPORT_ERROR(logic, __VA_ARGS__)
+
+#if !defined(KFR_DISABLE_CHECKS)
+
+#define KFR_RUNTIME_CHECK(cond, ...) KFR_CHECK_IMPL(cond, runtime, __VA_ARGS__)
+
+#define KFR_LOGIC_CHECK(cond, ...) KFR_CHECK_IMPL(cond, logic, __VA_ARGS__)
+
+#else
+#define KFR_RUNTIME_CHECK(cond, ...) CMT_NOOP
+#define KFR_LOGIC_CHECK(cond, ...) CMT_NOOP
+
+#endif
+
+} // namespace kfr
diff --git a/include/kfr/graphics.hpp b/include/kfr/graphics.hpp
@@ -25,4 +25,4 @@
 #include "math.hpp"
 
 #include "graphics/color.hpp"
-#include "graphics/geometry.hpp"
-\ No newline at end of file
+#include "graphics/geometry.hpp"
diff --git a/include/kfr/graphics/color.hpp b/include/kfr/graphics/color.hpp
@@ -25,7 +25,7 @@
  */
 #pragma once
 
-#include "scaled.hpp"
+#include "impl/scaled.hpp"
 
 namespace kfr
 {
@@ -40,7 +40,8 @@ struct color
 
     using vec_type = vec<T, 4>;
 
-    static_assert(is_floating_point<T> || is_same<T, uint8_t> || is_same<T, uint16_t>, "Incorrect type");
+    static_assert(std::is_floating_point_v<T> || std::is_same_v<T, uint8_t> || std::is_same_v<T, uint16_t>,
+                  "Incorrect type");
 
     constexpr color(int) = delete;
     constexpr explicit color(T grey, T alpha = maximum) : v(grey, grey, grey, alpha) {}
@@ -78,7 +79,7 @@ struct color
 
     constexpr T lightness() const
     {
-        using Tcommon = conditional<is_floating_point<T>, T, findinttype<min * 3, max * 3>>;
+        using Tcommon = std::conditional_t<std::is_floating_point_v<T>, T, findinttype<min * 3, max * 3>>;
         return (Tcommon(r) + g + b) / 3;
     }
 
diff --git a/include/kfr/graphics/geometry.hpp b/include/kfr/graphics/geometry.hpp
@@ -25,7 +25,7 @@
  */
 #pragma once
 
-#include "scaled.hpp"
+#include "impl/scaled.hpp"
 
 namespace kfr
 {
@@ -64,7 +64,8 @@ struct point
     constexpr point ceil() const { return kfr::ceil(v); }
     constexpr point trunc() const { return kfr::trunc(v); }
 
-    union {
+    union
+    {
         struct
         {
             T x;
@@ -114,7 +115,8 @@ struct size
 
     constexpr bool operator==(const size& c) const { return all(v == c.v); }
     constexpr bool operator!=(const size& c) const { return !operator==(c); }
-    union {
+    union
+    {
         struct
         {
             T x;
@@ -159,7 +161,8 @@ struct border
 
     constexpr bool operator==(const border& c) const { return all(v == c.v); }
     constexpr bool operator!=(const border& c) const { return !(operator==(c)); }
-    union {
+    union
+    {
         struct
         {
             T x1;
@@ -187,7 +190,8 @@ struct vector4
     constexpr bool operator==(const vector4& c) const { return all(v == c.v); }
     constexpr bool operator!=(const vector4& c) const { return !operator==(c); }
 
-    union {
+    union
+    {
         struct
         {
             T x;
@@ -378,7 +382,8 @@ struct rectangle
     rectangle& operator&=(const rectangle& c) { return *this = *this & c; }
     rectangle& operator|=(const rectangle& c) { return *this = *this | c; }
 
-    union {
+    union
+    {
         struct
         {
             T x1;
@@ -422,7 +427,8 @@ CMT_INTRINSIC size<T> max(const size<T>& a, const size<T>& b)
 template <typename T>
 struct matrix
 {
-    union {
+    union
+    {
         vec<T, 6> v;
         struct
         {
diff --git a/include/kfr/graphics/impl/scaled.hpp b/include/kfr/graphics/impl/scaled.hpp
@@ -0,0 +1,58 @@
+/** @addtogroup basic_math
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../../cometa/string.hpp"
+#include "../../math.hpp"
+
+namespace kfr
+{
+
+template <typename Tout, int Mout, int Min, typename Tin, size_t N,
+          KFR_ENABLE_IF(Mout != Min &&
+                        (std::is_floating_point<Tin>::value || std::is_floating_point<Tout>::value))>
+KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
+{
+    using Tcommon = std::common_type_t<Tin, Tout>;
+    return static_cast<vec<Tout, N>>(static_cast<vec<Tcommon, N>>(value) * Mout / Min);
+}
+
+template <typename Tout, int Mout, int Min, typename Tin, size_t N,
+          KFR_ENABLE_IF(Mout != Min &&
+                        !(std::is_floating_point<Tin>::value || std::is_floating_point<Tout>::value))>
+KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
+{
+    using Tcommon =
+        findinttype<std::numeric_limits<Tin>::min() * Mout, std::numeric_limits<Tin>::max() * Mout>;
+    return static_cast<vec<Tout, N>>(static_cast<vec<Tcommon, N>>(value) * Mout / Min);
+}
+
+template <typename Tout, int Mout, int Min, typename Tin, size_t N, KFR_ENABLE_IF(Mout == Min)>
+KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
+{
+    return static_cast<vec<Tout, N>>(value);
+}
+} // namespace kfr
diff --git a/include/kfr/graphics/scaled.hpp b/include/kfr/graphics/scaled.hpp
@@ -1,58 +0,0 @@
-/** @addtogroup basic_math
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../cometa/string.hpp"
-#include "../math.hpp"
-
-namespace kfr
-{
-
-template <typename Tout, int Mout, int Min, typename Tin, size_t N,
-          KFR_ENABLE_IF(Mout != Min &&
-                        (std::is_floating_point<Tin>::value || std::is_floating_point<Tout>::value))>
-KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
-{
-    using Tcommon = common_type<Tin, Tout>;
-    return static_cast<vec<Tout, N>>(static_cast<vec<Tcommon, N>>(value) * Mout / Min);
-}
-
-template <typename Tout, int Mout, int Min, typename Tin, size_t N,
-          KFR_ENABLE_IF(Mout != Min &&
-                        !(std::is_floating_point<Tin>::value || std::is_floating_point<Tout>::value))>
-KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
-{
-    using Tcommon =
-        findinttype<std::numeric_limits<Tin>::min() * Mout, std::numeric_limits<Tin>::max() * Mout>;
-    return static_cast<vec<Tout, N>>(static_cast<vec<Tcommon, N>>(value) * Mout / Min);
-}
-
-template <typename Tout, int Mout, int Min, typename Tin, size_t N, KFR_ENABLE_IF(Mout == Min)>
-KFR_INTRINSIC vec<Tout, N> convert_scaled(const vec<Tin, N>& value)
-{
-    return static_cast<vec<Tout, N>>(value);
-}
-} // namespace kfr
-\ No newline at end of file
diff --git a/include/kfr/io/file.hpp b/include/kfr/io/file.hpp
@@ -126,7 +126,10 @@ struct abstract_reader : abstract_stream<T>
         this->read(result);
         return result;
     }
-    bool read(conditional<is_void<T>, internal_generic::empty, T>& data) { return read(&data, 1) == 1; }
+    bool read(std::conditional_t<std::is_void_v<T>, internal_generic::empty, T>& data)
+    {
+        return read(&data, 1) == 1;
+    }
 };
 
 /// @brief Base class for all typed writers
@@ -141,7 +144,7 @@ struct abstract_writer : abstract_stream<T>
         return write(data.data(), data.size());
     }
     size_t write(univector_ref<const T>&& data) { return write(data.data(), data.size()); }
-    bool write(const conditional<is_void<T>, internal_generic::empty, T>& data)
+    bool write(const std::conditional_t<std::is_void_v<T>, internal_generic::empty, T>& data)
     {
         return write(&data, 1) == 1;
     }
diff --git a/include/kfr/io/python_plot.hpp b/include/kfr/io/python_plot.hpp
@@ -69,12 +69,12 @@ void python(const std::string& name, const std::string& code)
 }
 CMT_PRAGMA_GNU(GCC diagnostic pop)
 
-template <typename T, KFR_ENABLE_IF(is_floating_point<T>)>
+template <typename T, KFR_ENABLE_IF(std::is_floating_point_v<T>)>
 inline T flush_to_zero(T value)
 {
     return std::isfinite(value) ? value : 0;
 }
-template <typename T, KFR_ENABLE_IF(!is_floating_point<T>)>
+template <typename T, KFR_ENABLE_IF(!std::is_floating_point_v<T>)>
 inline T flush_to_zero(T value)
 {
     return static_cast<double>(value);
diff --git a/include/kfr/io/tostring.hpp b/include/kfr/io/tostring.hpp
@@ -146,27 +146,6 @@ inline std::string array_to_string(const kfr::complex<T>* source, size_t N)
 }
 } // namespace details
 
-template <typename T>
-struct representation<kfr::complex<T>>
-{
-    using type = std::string;
-    static std::string get(const kfr::complex<T>& value)
-    {
-        return as_string(value.real()) + " + " + as_string(value.imag()) + "j";
-    }
-};
-
-template <char t, int width, int prec, typename T>
-struct representation<details::fmt_t<kfr::complex<T>, t, width, prec>>
-{
-    using type = std::string;
-    static std::string get(const details::fmt_t<kfr::complex<T>, t, width, prec>& value)
-    {
-        return as_string(fmt<t, width, prec>(value.value.real())) + " + " +
-               as_string(fmt<t, width, prec>(value.value.imag())) + "j";
-    }
-};
-
 template <>
 struct representation<kfr::cpu_t>
 {
@@ -174,107 +153,10 @@ struct representation<kfr::cpu_t>
     static std::string get(kfr::cpu_t value) { return kfr::cpu_name(value); }
 };
 
-template <typename T, size_t N>
-struct representation<kfr::vec<T, N>>
-{
-    using type = std::string;
-    static std::string get(const kfr::vec<T, N>& value)
-    {
-        return details::array_to_string(ptr_cast<T>(&value), value.size());
-    }
-};
-
-template <typename T, size_t N>
-struct representation<kfr::mask<T, N>>
-{
-    using type = std::string;
-    static std::string get(const kfr::mask<T, N>& value)
-    {
-        bool values[N];
-        for (size_t i = 0; i < N; i++)
-            values[i] = value[i];
-        return details::array_to_string(values, N);
-    }
-};
-
-template <typename T, kfr::univector_tag Tag>
-struct representation<kfr::univector<T, Tag>>
-{
-    using type = std::string;
-    static std::string get(const kfr::univector<T, Tag>& value)
-    {
-        return details::array_to_string(value.data(), value.size());
-    }
-};
-template <typename T, size_t Size>
-struct representation<std::array<T, Size>>
-{
-    using type = std::string;
-    static std::string get(const std::array<T, Size>& value)
-    {
-        return details::array_to_string(value.data(), value.size());
-    }
-};
-template <typename T, typename Allocator>
-struct representation<std::vector<T, Allocator>>
-{
-    using type = std::string;
-    static std::string get(const std::vector<T, Allocator>& value)
-    {
-        return details::array_to_string(value.data(), value.size());
-    }
-};
 } // namespace cometa
 
 namespace kfr
 {
-inline namespace CMT_ARCH_NAME
-{
-
-namespace internal
-{
-struct expression_printer : output_expression
-{
-    template <typename T, size_t N>
-    void operator()(coutput_t, size_t index, const vec<T, N>& value)
-    {
-        for (size_t i = 0; i < N; i++)
-        {
-            if (index + i != 0)
-                print(", ");
-            print(value[i]);
-        }
-    }
-    template <typename InputExpr>
-    InputExpr& operator=(const InputExpr& input)
-    {
-        process(*this, input);
-        return input;
-    }
-};
-
-struct expression_debug_printer : output_expression
-{
-    template <typename T, size_t N>
-    void operator()(coutput_t, size_t index, const vec<T, N>& value)
-    {
-        println(fmtwidth<7>(index), ": (", value, ")");
-    }
-    template <typename InputExpr>
-    InputExpr& operator=(const InputExpr& input)
-    {
-        process(*this, input);
-        return input;
-    }
-};
-} // namespace internal
-
-/// @brief Returns an output expression that prints the values
-inline internal::expression_printer printer() { return internal::expression_printer(); }
-
-/// @brief Returns an output expression that prints the values with their types (used for debug)
-inline internal::expression_debug_printer debug_printer() { return internal::expression_debug_printer(); }
-} // namespace CMT_ARCH_NAME
 
 /// @brief Converts dB value to string (uses oo for infinity symbol)
 template <typename T>
diff --git a/include/kfr/kfr.h b/include/kfr/kfr.h
@@ -1,3 +1,25 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
 /** @addtogroup utility
  *  @{
  */
@@ -10,8 +32,8 @@
 
 #include "cident.h"
 
-#define KFR_VERSION_MAJOR 4
-#define KFR_VERSION_MINOR 3
+#define KFR_VERSION_MAJOR 5
+#define KFR_VERSION_MINOR 0
 #define KFR_VERSION_PATCH 0
 #define KFR_VERSION_LABEL ""
 
@@ -72,14 +94,15 @@ constexpr inline const char version_full[] = KFR_VERSION_FULL;
 #ifdef KFR_FUNCTION_IS_INTRINSIC
 #define KFR_FUNCTION CMT_INTRINSIC
 #else
-#define KFR_FUNCTION 
+#define KFR_FUNCTION
 #endif
 #ifdef CMT_NATIVE_F64
 #define KFR_NATIVE_F64 CMT_NATIVE_F64
 #endif
 
 #if defined CMT_ARCH_ARM && !defined CMT_ARCH_NEON && !defined CMT_FORCE_GENERIC_CPU
-#error "ARM builds require NEON support. Add -march=native for native build or skip the check with CMT_FORCE_GENERIC_CPU=1"
+#error                                                                                                       \
+    "ARM builds require NEON support. Add -march=native for native build or skip the check with CMT_FORCE_GENERIC_CPU=1"
 #endif
 
 #if defined CMT_ARCH_ARM && !defined CMT_COMPILER_CLANG && !defined CMT_FORCE_NON_CLANG
diff --git a/include/kfr/math.hpp b/include/kfr/math.hpp
@@ -24,22 +24,15 @@
 
 #include "simd.hpp"
 
-#include "math/abs.hpp"
 #include "math/asin_acos.hpp"
 #include "math/atan.hpp"
-#include "math/clamp.hpp"
 #include "math/compiletime.hpp"
 #include "math/complex_math.hpp"
 #include "math/gamma.hpp"
 #include "math/hyperbolic.hpp"
 #include "math/interpolation.hpp"
 #include "math/log_exp.hpp"
-#include "math/logical.hpp"
-#include "math/min_max.hpp"
 #include "math/modzerobessel.hpp"
-#include "math/round.hpp"
-#include "math/saturation.hpp"
-#include "math/select.hpp"
 #include "math/sin_cos.hpp"
 #include "math/sqrt.hpp"
 #include "math/tan.hpp"
diff --git a/include/kfr/math/abs.hpp b/include/kfr/math/abs.hpp
@@ -1,54 +0,0 @@
-/** @addtogroup basic_math
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/abs.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/**
- * @brief Returns the absolute value of x.
- */
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 abs(const T1& x)
-{
-    return intrinsics::abs(x);
-}
-
-/**
- * @brief Returns template expression that returns the absolute value of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::abs, E1> abs(E1&& x)
-{
-    return { fn::abs(), std::forward<E1>(x) };
-}
-} // namespace CMT_ARCH_NAME
-
-} // namespace kfr
diff --git a/include/kfr/math/asin_acos.hpp b/include/kfr/math/asin_acos.hpp
@@ -40,15 +40,6 @@ KFR_INTRINSIC flt_type<T1> asin(const T1& x)
 {
     return intrinsics::asin(x);
 }
-
-/**
- * @brief Returns template expression that returns the arc sine of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::asin, E1> asin(E1&& x)
-{
-    return { fn::asin(), std::forward<E1>(x) };
-}
 /**
  * @brief Returns the arc cosine of x. The returned angle is in the range 0 through \f$\pi\f$.
  */
@@ -57,15 +48,6 @@ KFR_INTRINSIC flt_type<T1> acos(const T1& x)
 {
     return intrinsics::acos(x);
 }
-
-/**
- * @brief Returns template expression that returns the arc cosine of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::acos, E1> acos(E1&& x)
-{
-    return { fn::acos(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 
 } // namespace kfr
diff --git a/include/kfr/math/atan.hpp b/include/kfr/math/atan.hpp
@@ -43,15 +43,6 @@ KFR_FUNCTION flt_type<T1> atan(const T1& x)
 }
 
 /**
- * @brief Returns template expression that returns the arc tangent of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::atan, E1> atan(E1&& x)
-{
-    return { fn::atan(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the arc tangent of the x, expressed in degrees. The returned angle is in the range -90
  * through 90.
  */
@@ -62,49 +53,22 @@ KFR_FUNCTION flt_type<T1> atandeg(const T1& x)
 }
 
 /**
- * @brief Returns template expression that returns the arc tangent of the x, expressed in degrees.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::atandeg, E1> atandeg(E1&& x)
-{
-    return { fn::atandeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the arc tangent of y/x using the signs of arguments to determine the correct quadrant.
  */
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION common_type<T1, T2> atan2(const T1& x, const T2& y)
+KFR_FUNCTION std::common_type_t<T1, T2> atan2(const T1& x, const T2& y)
 {
     return intrinsics::atan2(x, y);
 }
 
 /**
- * @brief Returns template expression that returns the arc tangent of y/x.
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::atan2, E1, E2> atan2(E1&& x, E2&& y)
-{
-    return { fn::atan2(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
-/**
  * @brief Returns the arc tangent of y/x (expressed in degrees) using the signs of arguments to determine the
  * correct quadrant.
  */
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION common_type<T1, T2> atan2deg(const T1& x, const T2& y)
+KFR_FUNCTION std::common_type_t<T1, T2> atan2deg(const T1& x, const T2& y)
 {
     return intrinsics::atan2deg(x, y);
 }
-
-/**
- * @brief Returns template expression that returns the arc tangent of y/x (expressed in degrees).
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::atan2deg, E1, E2> atan2deg(E1&& x, E2&& y)
-{
-    return { fn::atan2deg(), std::forward<E1>(x), std::forward<E2>(y) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/clamp.hpp b/include/kfr/math/clamp.hpp
@@ -1,65 +0,0 @@
-/** @addtogroup basic_math
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/clamp.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/// @brief Returns the first argument clamped to a range [lo, hi]
-template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>),
-          typename Tout = common_type<T1, T2, T3>>
-KFR_INTRINSIC Tout clamp(const T1& x, const T2& lo, const T3& hi)
-{
-    return intrinsics::clamp(static_cast<Tout>(x), static_cast<Tout>(lo), static_cast<Tout>(hi));
-}
-
-/// @brief Creates an expression that returns the first argument clamped to a range [lo, hi]
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_INTRINSIC internal::expression_function<fn::clamp, E1, E2, E3> clamp(E1&& x, E2&& lo, E3&& hi)
-{
-    return { fn::clamp(), std::forward<E1>(x), std::forward<E2>(lo), std::forward<E3>(hi) };
-}
-
-/// @brief Returns the first argument clamped to a range [0, hi]
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout clamp(const T1& x, const T2& hi)
-{
-    return intrinsics::clamp(static_cast<Tout>(x), static_cast<Tout>(hi));
-}
-
-/// @brief Creates an expression that returns the first argument clamped to a range [0, hi]
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::clamp, E1, E2> clamp(E1&& x, E2&& hi)
-{
-    return { fn::clamp(), std::forward<E1>(x), std::forward<E2>(hi) };
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/complex_math.hpp b/include/kfr/math/complex_math.hpp
@@ -25,13 +25,13 @@
  */
 #pragma once
 
+#include "../simd/abs.hpp"
 #include "../simd/complex.hpp"
-#include "abs.hpp"
+#include "../simd/min_max.hpp"
+#include "../simd/select.hpp"
 #include "atan.hpp"
 #include "hyperbolic.hpp"
 #include "log_exp.hpp"
-#include "min_max.hpp"
-#include "select.hpp"
 #include "sin_cos.hpp"
 #include "sqrt.hpp"
 
@@ -223,13 +223,6 @@ KFR_FUNCTION T1 csin(const T1& x)
     return intrinsics::csin(x);
 }
 
-/// @brief Returns template expression that returns the sine of the the complex value x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::csin, E1> csin(E1&& x)
-{
-    return { fn::csin(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic sine of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 csinh(const T1& x)
@@ -237,13 +230,6 @@ KFR_FUNCTION T1 csinh(const T1& x)
     return intrinsics::csinh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic sine of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::csinh, E1> csinh(E1&& x)
-{
-    return { fn::csinh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the cosine of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 ccos(const T1& x)
@@ -251,13 +237,6 @@ KFR_FUNCTION T1 ccos(const T1& x)
     return intrinsics::ccos(x);
 }
 
-/// @brief Returns template expression that returns the cosine of the the complex value x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::ccos, E1> ccos(E1&& x)
-{
-    return { fn::ccos(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic cosine of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 ccosh(const T1& x)
@@ -265,13 +244,6 @@ KFR_FUNCTION T1 ccosh(const T1& x)
     return intrinsics::ccosh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic cosine of the the complex value x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::ccosh, E1> ccosh(E1&& x)
-{
-    return { fn::ccosh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the squared absolute value (magnitude squared) of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION realtype<T1> cabssqr(const T1& x)
@@ -279,14 +251,6 @@ KFR_FUNCTION realtype<T1> cabssqr(const T1& x)
     return intrinsics::cabssqr(x);
 }
 
-/// @brief Returns template expression that returns the squared absolute value (magnitude squared) of the
-/// complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cabssqr, E1> cabssqr(E1&& x)
-{
-    return { fn::cabssqr(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the absolute value (magnitude) of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION realtype<T1> cabs(const T1& x)
@@ -294,13 +258,6 @@ KFR_FUNCTION realtype<T1> cabs(const T1& x)
     return intrinsics::cabs(x);
 }
 
-/// @brief Returns template expression that returns the absolute value (magnitude) of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cabs, E1> cabs(E1&& x)
-{
-    return { fn::cabs(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the phase angle (argument) of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION realtype<T1> carg(const T1& x)
@@ -308,13 +265,6 @@ KFR_FUNCTION realtype<T1> carg(const T1& x)
     return intrinsics::carg(x);
 }
 
-/// @brief Returns template expression that returns the phase angle (argument) of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::carg, E1> carg(E1&& x)
-{
-    return { fn::carg(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the natural logarithm of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 clog(const T1& x)
@@ -322,13 +272,6 @@ KFR_FUNCTION T1 clog(const T1& x)
     return intrinsics::clog(x);
 }
 
-/// @brief Returns template expression that returns the natural logarithm of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::clog, E1> clog(E1&& x)
-{
-    return { fn::clog(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the binary (base-2) logarithm of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 clog2(const T1& x)
@@ -336,13 +279,6 @@ KFR_FUNCTION T1 clog2(const T1& x)
     return intrinsics::clog2(x);
 }
 
-/// @brief Returns template expression that returns the binary (base-2) logarithm of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::clog2, E1> clog2(E1&& x)
-{
-    return { fn::clog2(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the common (base-10) logarithm of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 clog10(const T1& x)
@@ -350,13 +286,6 @@ KFR_FUNCTION T1 clog10(const T1& x)
     return intrinsics::clog10(x);
 }
 
-/// @brief Returns template expression that returns the common (base-10) logarithm of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::clog10, E1> clog10(E1&& x)
-{
-    return { fn::clog10(), std::forward<E1>(x) };
-}
-
 /// @brief Returns \f$e\f$ raised to the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 cexp(const T1& x)
@@ -364,13 +293,6 @@ KFR_FUNCTION T1 cexp(const T1& x)
     return intrinsics::cexp(x);
 }
 
-/// @brief Returns template expression that returns \f$e\f$ raised to the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cexp, E1> cexp(E1&& x)
-{
-    return { fn::cexp(), std::forward<E1>(x) };
-}
-
 /// @brief Returns 2 raised to the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 cexp2(const T1& x)
@@ -378,13 +300,6 @@ KFR_FUNCTION T1 cexp2(const T1& x)
     return intrinsics::cexp2(x);
 }
 
-/// @brief Returns template expression that returns 2 raised to the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cexp2, E1> cexp2(E1&& x)
-{
-    return { fn::cexp2(), std::forward<E1>(x) };
-}
-
 /// @brief Returns 10 raised to the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 cexp10(const T1& x)
@@ -392,13 +307,6 @@ KFR_FUNCTION T1 cexp10(const T1& x)
     return intrinsics::cexp10(x);
 }
 
-/// @brief Returns template expression that returns 10 raised to the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cexp10, E1> cexp10(E1&& x)
-{
-    return { fn::cexp10(), std::forward<E1>(x) };
-}
-
 /// @brief Converts complex number to polar
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 polar(const T1& x)
@@ -406,13 +314,6 @@ KFR_FUNCTION T1 polar(const T1& x)
     return intrinsics::polar(x);
 }
 
-/// @brief Returns template expression that converts complex number to polar
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::polar, E1> polar(E1&& x)
-{
-    return { fn::polar(), std::forward<E1>(x) };
-}
-
 /// @brief Converts complex number to cartesian
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 cartesian(const T1& x)
@@ -420,13 +321,6 @@ KFR_FUNCTION T1 cartesian(const T1& x)
     return intrinsics::cartesian(x);
 }
 
-/// @brief Returns template expression that converts complex number to cartesian
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cartesian, E1> cartesian(E1&& x)
-{
-    return { fn::cartesian(), std::forward<E1>(x) };
-}
-
 /// @brief Returns square root of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 csqrt(const T1& x)
@@ -434,13 +328,6 @@ KFR_FUNCTION T1 csqrt(const T1& x)
     return intrinsics::csqrt(x);
 }
 
-/// @brief Returns template expression that returns square root of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::csqrt, E1> csqrt(E1&& x)
-{
-    return { fn::csqrt(), std::forward<E1>(x) };
-}
-
 /// @brief Returns square of the complex number x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION T1 csqr(const T1& x)
@@ -448,12 +335,5 @@ KFR_FUNCTION T1 csqr(const T1& x)
     return intrinsics::csqr(x);
 }
 
-/// @brief Returns template expression that returns square of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::csqr, E1> csqr(E1&& x)
-{
-    return { fn::csqr(), std::forward<E1>(x) };
-}
-
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/gamma.hpp b/include/kfr/math/gamma.hpp
@@ -39,13 +39,6 @@ KFR_FUNCTION flt_type<T1> gamma(const T1& x)
     return intrinsics::gamma(x);
 }
 
-/// @brief Creates expression that returns the approximate gamma function of an argument
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::gamma, E1> gamma(E1&& x)
-{
-    return { fn::gamma(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the approximate factorial of an argument
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> factorial_approx(const T1& x)
@@ -53,13 +46,6 @@ KFR_FUNCTION flt_type<T1> factorial_approx(const T1& x)
     return intrinsics::factorial_approx(x);
 }
 
-/// @brief Creates expression that returns the approximate factorial of an argument
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::factorial_approx, E1> factorial_approx(E1&& x)
-{
-    return { fn::factorial_approx(), std::forward<E1>(x) };
-}
-
 constexpr inline uint64_t factorial_table[21] = {
     0,
     1,
@@ -87,7 +73,7 @@ constexpr inline uint64_t factorial_table[21] = {
 /// @brief Returns the factorial of an argument. Returns max(uint64_t) if does not fit to uint64_t
 constexpr uint64_t factorial(int n)
 {
-    if (n < 0 || n > 20)
+    if (CMT_LIKELY(n < 0 || n > 20))
         return std::numeric_limits<uint64_t>::max();
     return factorial_table[n];
 }
diff --git a/include/kfr/math/hyperbolic.hpp b/include/kfr/math/hyperbolic.hpp
@@ -39,13 +39,6 @@ KFR_FUNCTION flt_type<T1> sinh(const T1& x)
     return intrinsics::sinh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic sine of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sinh, E1> sinh(E1&& x)
-{
-    return { fn::sinh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic cosine of the x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> cosh(const T1& x)
@@ -53,13 +46,6 @@ KFR_FUNCTION flt_type<T1> cosh(const T1& x)
     return intrinsics::cosh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic cosine of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cosh, E1> cosh(E1&& x)
-{
-    return { fn::cosh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic tangent of the x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> tanh(const T1& x)
@@ -67,13 +53,6 @@ KFR_FUNCTION flt_type<T1> tanh(const T1& x)
     return intrinsics::tanh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic tangent of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::tanh, E1> tanh(E1&& x)
-{
-    return { fn::tanh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic cotangent of the x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> coth(const T1& x)
@@ -81,13 +60,6 @@ KFR_FUNCTION flt_type<T1> coth(const T1& x)
     return intrinsics::coth(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic cotangent of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::coth, E1> coth(E1&& x)
-{
-    return { fn::coth(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic sine of the even elements of the x and the hyperbolic cosine of the odd
 /// elements of the x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -96,14 +68,6 @@ KFR_FUNCTION flt_type<T1> sinhcosh(const T1& x)
     return intrinsics::sinhcosh(x);
 }
 
-/// @brief Returns template expression that returns the hyperbolic sine of the even elements of the x and the
-/// hyperbolic cosine of the odd elements of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sinhcosh, E1> sinhcosh(E1&& x)
-{
-    return { fn::sinhcosh(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the hyperbolic cosine of the even elements of the x and the hyperbolic sine of the odd
 /// elements of the x
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -111,13 +75,5 @@ KFR_FUNCTION flt_type<T1> coshsinh(const T1& x)
 {
     return intrinsics::coshsinh(x);
 }
-
-/// @brief Returns template expression that returns the hyperbolic cosine of the even elements of the x and
-/// the hyperbolic sine of the odd elements of the x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::coshsinh, E1> coshsinh(E1&& x)
-{
-    return { fn::coshsinh(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/impl/abs.hpp b/include/kfr/math/impl/abs.hpp
@@ -1,138 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../math/select.hpp"
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-#if defined CMT_ARCH_SSSE3 && defined KFR_NATIVE_INTRINSICS
-
-// floating point
-template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
-{
-    return x & special_constants<T>::invhighbitmask();
-}
-
-KFR_INTRINSIC i64sse abs(const i64sse& x) CMT_NOEXCEPT
-{
-    const __m128i sh  = _mm_srai_epi32(x.v, 31);
-    const __m128i msk = _mm_shuffle_epi32(sh, _MM_SHUFFLE(3, 3, 1, 1));
-    return _mm_sub_epi64(_mm_xor_si128(x.v, msk), msk);
-}
-KFR_INTRINSIC i32sse abs(const i32sse& x) CMT_NOEXCEPT { return _mm_abs_epi32(x.v); }
-KFR_INTRINSIC i16sse abs(const i16sse& x) CMT_NOEXCEPT { return _mm_abs_epi16(x.v); }
-KFR_INTRINSIC i8sse abs(const i8sse& x) CMT_NOEXCEPT { return _mm_abs_epi8(x.v); }
-KFR_INTRINSIC u64sse abs(const u64sse& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u32sse abs(const u32sse& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u16sse abs(const u16sse& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u8sse abs(const u8sse& x) CMT_NOEXCEPT { return x; }
-
-#if defined CMT_ARCH_AVX2
-KFR_INTRINSIC i64avx abs(const i64avx& x) CMT_NOEXCEPT
-{
-    const __m256i sh  = _mm256_srai_epi32(x.v, 31);
-    const __m256i msk = _mm256_shuffle_epi32(sh, _MM_SHUFFLE(3, 3, 1, 1));
-    return _mm256_sub_epi64(_mm256_xor_si256(x.v, msk), msk);
-}
-KFR_INTRINSIC i32avx abs(const i32avx& x) CMT_NOEXCEPT { return _mm256_abs_epi32(x.v); }
-KFR_INTRINSIC i16avx abs(const i16avx& x) CMT_NOEXCEPT { return _mm256_abs_epi16(x.v); }
-KFR_INTRINSIC i8avx abs(const i8avx& x) CMT_NOEXCEPT { return _mm256_abs_epi8(x.v); }
-KFR_INTRINSIC u64avx abs(const u64avx& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u32avx abs(const u32avx& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u16avx abs(const u16avx& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u8avx abs(const u8avx& x) CMT_NOEXCEPT { return x; }
-#endif
-
-#if defined CMT_ARCH_AVX512
-KFR_INTRINSIC i64avx512 abs(const i64avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi64(x.v); }
-KFR_INTRINSIC i32avx512 abs(const i32avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi32(x.v); }
-KFR_INTRINSIC i16avx512 abs(const i16avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi16(x.v); }
-KFR_INTRINSIC i8avx512 abs(const i8avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi8(x.v); }
-KFR_INTRINSIC u64avx512 abs(const u64avx512& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u32avx512 abs(const u32avx512& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u16avx512 abs(const u16avx512& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u8avx512 abs(const u8avx512& x) CMT_NOEXCEPT { return x; }
-#endif
-
-KFR_HANDLE_ALL_SIZES_1_IF(abs, !is_f_class<T>)
-
-#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC i8neon abs(const i8neon& x) CMT_NOEXCEPT { return vabsq_s8(x.v); }
-KFR_INTRINSIC i16neon abs(const i16neon& x) CMT_NOEXCEPT { return vabsq_s16(x.v); }
-KFR_INTRINSIC i32neon abs(const i32neon& x) CMT_NOEXCEPT { return vabsq_s32(x.v); }
-#if defined CMT_ARCH_NEON64
-KFR_INTRINSIC i64neon abs(const i64neon& x) CMT_NOEXCEPT { return vabsq_s64(x.v); }
-#else
-KFR_INTRINSIC i64neon abs(const i64neon& x) CMT_NOEXCEPT { return select(x >= 0, x, -x); }
-#endif
-
-KFR_INTRINSIC u8neon abs(const u8neon& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u16neon abs(const u16neon& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u32neon abs(const u32neon& x) CMT_NOEXCEPT { return x; }
-KFR_INTRINSIC u64neon abs(const u64neon& x) CMT_NOEXCEPT { return x; }
-
-KFR_INTRINSIC f32neon abs(const f32neon& x) CMT_NOEXCEPT { return vabsq_f32(x.v); }
-#if defined CMT_ARCH_NEON64
-KFR_INTRINSIC f64neon abs(const f64neon& x) CMT_NOEXCEPT { return vabsq_f64(x.v); }
-#else
-KFR_INTRINSIC f64neon abs(const f64neon& x) CMT_NOEXCEPT
-{
-    return x & special_constants<f64>::invhighbitmask();
-}
-#endif
-
-KFR_HANDLE_ALL_SIZES_1(abs)
-
-#else
-
-// floating point
-template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
-{
-    return x & special_constants<T>::invhighbitmask();
-}
-
-// fallback
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
-{
-    return select(x >= T(0), x, -x);
-}
-#endif
-KFR_HANDLE_SCALAR(abs)
-} // namespace intrinsics
-
-KFR_I_FN(abs)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/asin_acos.hpp b/include/kfr/math/impl/asin_acos.hpp
@@ -22,10 +22,10 @@
  */
 #pragma once
 
-#include "../../math/atan.hpp"
-#include "../../math/select.hpp"
-#include "../../math/sqrt.hpp"
 #include "../../simd/impl/function.hpp"
+#include "../../simd/select.hpp"
+#include "../atan.hpp"
+#include "../sqrt.hpp"
 
 namespace kfr
 {
diff --git a/include/kfr/math/impl/atan.hpp b/include/kfr/math/impl/atan.hpp
@@ -21,12 +21,12 @@
   See https://www.kfrlib.com for details.
  */
 #pragma once
-#include "../../math/abs.hpp"
-#include "../../math/select.hpp"
-#include "../../math/sin_cos.hpp"
+#include "../../simd/abs.hpp"
 #include "../../simd/constants.hpp"
 #include "../../simd/impl/function.hpp"
 #include "../../simd/operators.hpp"
+#include "../../simd/select.hpp"
+#include "../sin_cos.hpp"
 
 namespace kfr
 {
@@ -59,7 +59,7 @@ KFR_INTRINSIC vec<f32, N> atan2k(const vec<f32, N>& yy, const vec<f32, N>& xx)
     u = fmadd(u, t, 0.199926957488059997558594f);
     u = fmadd(u, t, -0.333331018686294555664062f);
     t = u * t * s + s;
-    t = innercast<f32>(q) * 1.5707963267948966192313216916398f + t;
+    t = broadcastto<f32>(q) * 1.5707963267948966192313216916398f + t;
     return t;
 }
 
@@ -98,7 +98,7 @@ KFR_INTRINSIC vec<f64, N> atan2k(const vec<f64, N>& yy, const vec<f64, N>& xx)
     u = fmadd(u, t, 0.199999999996591265594148);
     u = fmadd(u, t, -0.333333333333311110369124);
     t = u * t * s + s;
-    t = innercast<f64>(q) * 1.5707963267948966192313216916398 + t;
+    t = broadcastto<f64>(q) * 1.5707963267948966192313216916398 + t;
     return t;
 }
 
diff --git a/include/kfr/math/impl/clamp.hpp b/include/kfr/math/impl/clamp.hpp
@@ -1,55 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../math/min_max.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-template <typename T>
-KFR_INTRINSIC T clamp(const T& x, const T& lo, const T& hi)
-{
-    return max(min(x, hi), lo);
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> clamp(const vec<T, N>& x, const vec<T, N>& lo, const vec<T, N>& hi)
-{
-    return max(min(x, hi), lo);
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> clamp(const vec<T, N>& x, const vec<T, N>& hi)
-{
-    return max(min(x, hi), zerovector<T, N>());
-}
-} // namespace intrinsics
-KFR_I_FN(clamp)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/gamma.hpp b/include/kfr/math/impl/gamma.hpp
@@ -50,7 +50,7 @@ KFR_INTRINSIC vec<T, N> gamma(const vec<T, N>& z)
     vec<T, N> accm         = gamma_precalc<T>[0];
     CMT_LOOP_UNROLL
     for (size_t k = 1; k < Count; k++)
-        accm += gamma_precalc<T>[k] / (z + innercast<utype<T>>(k));
+        accm += gamma_precalc<T>[k] / (z + broadcastto<utype<T>>(k));
     accm *= exp(-(z + Count)) * pow(z + Count, z + 0.5);
     return accm / z;
 }
diff --git a/include/kfr/math/impl/hyperbolic.hpp b/include/kfr/math/impl/hyperbolic.hpp
@@ -22,13 +22,13 @@
  */
 #pragma once
 
-#include "../../math/abs.hpp"
-#include "../../math/log_exp.hpp"
-#include "../../math/min_max.hpp"
-#include "../../math/select.hpp"
+#include "../../simd/abs.hpp"
 #include "../../simd/constants.hpp"
 #include "../../simd/impl/function.hpp"
+#include "../../simd/min_max.hpp"
 #include "../../simd/operators.hpp"
+#include "../../simd/select.hpp"
+#include "../log_exp.hpp"
 
 namespace kfr
 {
diff --git a/include/kfr/math/impl/log_exp.hpp b/include/kfr/math/impl/log_exp.hpp
@@ -22,14 +22,14 @@
  */
 #pragma once
 
-#include "../../math/abs.hpp"
-#include "../../math/clamp.hpp"
-#include "../../math/min_max.hpp"
-#include "../../math/round.hpp"
-#include "../../math/select.hpp"
+#include "../../simd/abs.hpp"
+#include "../../simd/clamp.hpp"
 #include "../../simd/constants.hpp"
 #include "../../simd/impl/function.hpp"
+#include "../../simd/min_max.hpp"
 #include "../../simd/operators.hpp"
+#include "../../simd/round.hpp"
+#include "../../simd/select.hpp"
 #include "../../simd/shuffle.hpp"
 
 namespace kfr
@@ -65,8 +65,8 @@ KFR_INTRINSIC vec<f32, N> vldexpk(const vec<f32, N>& x, const vec<i32, N>& q)
     m                    = (((m + q) >> 6) - m) << 4;
     const vec<i32, N> qq = q - (m << 2);
     m                    = clamp(m + 0x7f, vec<i32, N>(0xff));
-    vec<f32, N> u        = pow4(bitcast<f32>(innercast<i32>(m) << 23));
-    return x * u * bitcast<f32>((innercast<i32>(qq + 0x7f)) << 23);
+    vec<f32, N> u        = pow4(bitcast<f32>(broadcastto<i32>(m) << 23));
+    return x * u * bitcast<f32>((broadcastto<i32>(qq + 0x7f)) << 23);
 }
 
 template <size_t N>
@@ -76,8 +76,8 @@ KFR_INTRINSIC vec<f64, N> vldexpk(const vec<f64, N>& x, const vec<i64, N>& q)
     m                    = (((m + q) >> 9) - m) << 7;
     const vec<i64, N> qq = q - (m << 2);
     m                    = clamp(m + 0x3ff, i64(0x7ff));
-    vec<f64, N> u        = pow4(bitcast<f64>(innercast<i64>(m) << 52));
-    return x * u * bitcast<f64>((innercast<i64>(qq + 0x3ff)) << 52);
+    vec<f64, N> u        = pow4(bitcast<f64>(broadcastto<i64>(m) << 52));
+    return x * u * bitcast<f64>((broadcastto<i64>(qq + 0x3ff)) << 52);
 }
 
 template <typename T, size_t N>
@@ -98,12 +98,12 @@ KFR_INTRINSIC vec<f32, N> log(const vec<f32, N>& d)
     vec<f32, N> sp = select(d < 0, constants<f32>::qnan, constants<f32>::neginfinity);
 
     vec<f32, N> t;
-    t             = fmadd(0.2371599674224853515625f, x2, 0.285279005765914916992188f);
-    t             = fmadd(t, x2, 0.400005519390106201171875f);
-    t             = fmadd(t, x2, 0.666666567325592041015625f);
-    t             = fmadd(t, x2, 2.0f);
+    t = fmadd(0.2371599674224853515625f, x2, 0.285279005765914916992188f);
+    t = fmadd(t, x2, 0.400005519390106201171875f);
+    t = fmadd(t, x2, 0.666666567325592041015625f);
+    t = fmadd(t, x2, 2.0f);
 
-    x = x * t + c_log_2<f32> * innercast<f32>(e);
+    x = x * t + c_log_2<f32> * broadcastto<f32>(e);
     x = select(d > 0, x, sp);
 
     return x;
@@ -120,16 +120,16 @@ KFR_INTRINSIC vec<f64, N> log(const vec<f64, N>& d)
 
     vec<f64, N> sp = select(d < 0, constants<f64>::qnan, constants<f64>::neginfinity);
 
-    vec<f64, N> t; 
-    t             = fmadd(0.148197055177935105296783, x2, 0.153108178020442575739679);
-    t             = fmadd(t, x2, 0.181837339521549679055568);
-    t             = fmadd(t, x2, 0.22222194152736701733275);
-    t             = fmadd(t, x2, 0.285714288030134544449368);
-    t             = fmadd(t, x2, 0.399999999989941956712869);
-    t             = fmadd(t, x2, 0.666666666666685503450651);
-    t             = fmadd(t, x2, 2);
+    vec<f64, N> t;
+    t = fmadd(0.148197055177935105296783, x2, 0.153108178020442575739679);
+    t = fmadd(t, x2, 0.181837339521549679055568);
+    t = fmadd(t, x2, 0.22222194152736701733275);
+    t = fmadd(t, x2, 0.285714288030134544449368);
+    t = fmadd(t, x2, 0.399999999989941956712869);
+    t = fmadd(t, x2, 0.666666666666685503450651);
+    t = fmadd(t, x2, 2);
 
-    x = x * t + constants<f64>::log_2 * innercast<f64>(e);
+    x = x * t + constants<f64>::log_2 * broadcastto<f64>(e);
     x = select(d > 0, x, sp);
 
     return x;
@@ -138,12 +138,12 @@ KFR_INTRINSIC vec<f64, N> log(const vec<f64, N>& d)
 template <typename T, size_t N, typename Tout = flt_type<T>>
 KFR_INTRINSIC vec<Tout, N> log2(const vec<T, N>& x)
 {
-    return log(innercast<Tout>(x)) * constants<Tout>::recip_log_2;
+    return log(broadcastto<Tout>(x)) * constants<Tout>::recip_log_2;
 }
 template <typename T, size_t N, typename Tout = flt_type<T>>
 KFR_INTRINSIC vec<Tout, N> log10(const vec<T, N>& x)
 {
-    return log(innercast<Tout>(x)) * constants<Tout>::recip_log_10;
+    return log(broadcastto<Tout>(x)) * constants<Tout>::recip_log_10;
 }
 
 template <size_t N>
@@ -152,11 +152,11 @@ KFR_INTRINSIC vec<f32, N> exp(const vec<f32, N>& d)
     const f32 ln2_part1 = 0.6931457519f;
     const f32 ln2_part2 = 1.4286067653e-6f;
 
-    vec<i32, N> q = innercast<i32>(floor(d * constants<f32>::recip_log_2));
+    vec<i32, N> q = broadcastto<i32>(floor(d * constants<f32>::recip_log_2));
     vec<f32, N> s, u;
 
-    s = fmadd(innercast<f32>(q), -ln2_part1, d);
-    s = fmadd(innercast<f32>(q), -ln2_part2, s);
+    s = fmadd(broadcastto<f32>(q), -ln2_part1, d);
+    s = fmadd(broadcastto<f32>(q), -ln2_part2, s);
 
     const f32 c2 = 0.4999999105930328369140625f;
     const f32 c3 = 0.166668415069580078125f;
@@ -185,11 +185,11 @@ KFR_INTRINSIC vec<f64, N> exp(const vec<f64, N>& d)
     const f64 ln2_part1 = 0.69314717501401901245;
     const f64 ln2_part2 = 5.545926273775592108e-009;
 
-    vec<i64, N> q = innercast<i64>(floor(d * constants<f64>::recip_log_2));
+    vec<i64, N> q = broadcastto<i64>(floor(d * constants<f64>::recip_log_2));
     vec<f64, N> s, u;
 
-    s = fmadd(innercast<f64>(q), -ln2_part1, d);
-    s = fmadd(innercast<f64>(q), -ln2_part2, s);
+    s = fmadd(broadcastto<f64>(q), -ln2_part1, d);
+    s = fmadd(broadcastto<f64>(q), -ln2_part2, s);
 
     const f64 c2  = 0.499999999999994948485237955537741072475910186767578;
     const f64 c3  = 0.166666666667024204739888659787538927048444747924805;
@@ -235,7 +235,7 @@ KFR_INTRINSIC vec<T, N> pow(const vec<T, N>& a, const vec<T, N>& b)
 {
     const vec<T, N> t       = exp(b * log(abs(a)));
     const mask<T, N> isint  = floor(b) == b;
-    const mask<T, N> iseven = (innercast<itype<T>>(b) & 1) == 0;
+    const mask<T, N> iseven = (broadcastto<itype<T>>(b) & 1) == 0;
     return select(
         a > T(), t,
         select(a == T(), T(), select(isint, select(iseven, t, -t), broadcast<N>(constants<T>::qnan))));
@@ -256,7 +256,7 @@ KFR_INTRINSIC vec<T, N> cbrt(const vec<T, N>& x)
 template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>), typename Tout = flt_type<T>>
 KFR_INTRINSIC vec<Tout, N> cbrt(const vec<T, N>& x)
 {
-    return cbrt(innercast<Tout>(x));
+    return cbrt(broadcastto<Tout>(x));
 }
 
 KFR_HANDLE_SCALAR_1_T(exp, flt_type<T>)
@@ -289,25 +289,25 @@ KFR_HANDLE_NOT_F_1(root)
 KFR_HANDLE_NOT_F_1(cbrt)
 
 template <typename T1, typename T2>
-KFR_INTRINSIC flt_type<common_type<T1, T2>> logn(const T1& a, const T2& b)
+KFR_INTRINSIC flt_type<std::common_type_t<T1, T2>> logn(const T1& a, const T2& b)
 {
     return log(a) / log(b);
 }
 
 template <typename T1, typename T2>
-KFR_INTRINSIC flt_type<common_type<T1, T2>> logm(const T1& a, const T2& b)
+KFR_INTRINSIC flt_type<std::common_type_t<T1, T2>> logm(const T1& a, const T2& b)
 {
     return log(a) * b;
 }
 
 template <typename T1, typename T2, typename T3>
-KFR_INTRINSIC flt_type<common_type<T1, T2, T3>> exp_fmadd(const T1& x, const T2& m, const T3& a)
+KFR_INTRINSIC flt_type<std::common_type_t<T1, T2, T3>> exp_fmadd(const T1& x, const T2& m, const T3& a)
 {
     return exp(fmadd(x, m, a));
 }
 
 template <typename T1, typename T2, typename T3>
-KFR_INTRINSIC flt_type<common_type<T1, T2, T3>> log_fmadd(const T1& x, const T2& m, const T3& a)
+KFR_INTRINSIC flt_type<std::common_type_t<T1, T2, T3>> log_fmadd(const T1& x, const T2& m, const T3& a)
 {
     return fmadd(log(x), m, a);
 }
diff --git a/include/kfr/math/impl/logical.hpp b/include/kfr/math/impl/logical.hpp
@@ -1,284 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../math/abs.hpp"
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
-
-#if defined CMT_ARCH_SSE41
-
-// horizontal OR
-KFR_INTRINSIC bool bittestany(const mu8sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu16sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu32sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu64sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi8sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi16sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi32sse& x) { return !_mm_testz_si128(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi64sse& x) { return !_mm_testz_si128(x.v, x.v); }
-
-// horizontal AND
-KFR_INTRINSIC bool bittestall(const mu8sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu16sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu32sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu64sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi8sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi16sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi32sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi64sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
-#endif
-
-#if defined CMT_ARCH_AVX
-// horizontal OR
-KFR_INTRINSIC bool bittestany(const mf32sse& x) { return !_mm_testz_ps(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mf64sse& x) { return !_mm_testz_pd(x.v, x.v); }
-
-KFR_INTRINSIC bool bittestany(const mf32avx& x) { return !_mm256_testz_ps(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mf64avx& x) { return !_mm256_testz_pd(x.v, x.v); }
-
-KFR_INTRINSIC bool bittestany(const mu8avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu16avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu32avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mu64avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi8avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi16avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi32avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-KFR_INTRINSIC bool bittestany(const mi64avx& x) { return !_mm256_testz_si256(x.v, x.v); }
-
-// horizontal AND
-KFR_INTRINSIC bool bittestall(const mf32sse& x) { return _mm_testc_ps(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mf64sse& x) { return _mm_testc_pd(x.v, allonesvector(x).v); }
-
-KFR_INTRINSIC bool bittestall(const mf32avx& x) { return _mm256_testc_ps(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mf64avx& x) { return _mm256_testc_pd(x.v, allonesvector(x).v); }
-
-KFR_INTRINSIC bool bittestall(const mu8avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu16avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu32avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mu64avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi8avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi16avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi32avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-KFR_INTRINSIC bool bittestall(const mi64avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
-
-#if defined CMT_ARCH_AVX512
-// horizontal OR
-KFR_INTRINSIC bool bittestany(const mf32avx512& x) { return _mm512_movepi32_mask(_mm512_castps_si512(x.v)); }
-KFR_INTRINSIC bool bittestany(const mf64avx512& x) { return _mm512_movepi64_mask(_mm512_castpd_si512(x.v)); }
-KFR_INTRINSIC bool bittestany(const mu8avx512& x) { return _mm512_movepi8_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mu16avx512& x) { return _mm512_movepi16_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mu32avx512& x) { return _mm512_movepi32_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mu64avx512& x) { return _mm512_movepi64_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mi8avx512& x) { return _mm512_movepi8_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mi16avx512& x) { return _mm512_movepi16_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mi32avx512& x) { return _mm512_movepi32_mask(x.v); }
-KFR_INTRINSIC bool bittestany(const mi64avx512& x) { return _mm512_movepi64_mask(x.v); }
-
-// horizontal AND
-KFR_INTRINSIC bool bittestall(const mf32avx512& x)
-{
-    return !~_mm512_movepi32_mask(_mm512_castps_si512(x.v));
-}
-KFR_INTRINSIC bool bittestall(const mf64avx512& x)
-{
-    return !~_mm512_movepi64_mask(_mm512_castpd_si512(x.v));
-}
-KFR_INTRINSIC bool bittestall(const mu8avx512& x) { return !~_mm512_movepi8_mask(x.v); }
-KFR_INTRINSIC bool bittestall(const mu16avx512& x) { return !~_mm512_movepi16_mask(x.v); }
-KFR_INTRINSIC bool bittestall(const mu32avx512& x) { return !uint16_t(~_mm512_movepi32_mask(x.v)); }
-KFR_INTRINSIC bool bittestall(const mu64avx512& x) { return !uint8_t(~_mm512_movepi64_mask(x.v)); }
-KFR_INTRINSIC bool bittestall(const mi8avx512& x) { return !~_mm512_movepi8_mask(x.v); }
-KFR_INTRINSIC bool bittestall(const mi16avx512& x) { return !~_mm512_movepi16_mask(x.v); }
-KFR_INTRINSIC bool bittestall(const mi32avx512& x) { return !uint16_t(~_mm512_movepi32_mask(x.v)); }
-KFR_INTRINSIC bool bittestall(const mi64avx512& x) { return !uint8_t(~_mm512_movepi64_mask(x.v)); }
-
-#endif
-
-#elif defined CMT_ARCH_SSE41
-KFR_INTRINSIC bool bittestany(const mf32sse& x)
-{
-    return !_mm_testz_si128(bitcast<bit<u8>>(x).v, bitcast<bit<u8>>(x).v);
-}
-KFR_INTRINSIC bool bittestany(const mf64sse& x)
-{
-    return !_mm_testz_si128(bitcast<bit<u8>>(x).v, bitcast<bit<u8>>(x).v);
-}
-KFR_INTRINSIC bool bittestall(const mf32sse& x)
-{
-    return _mm_testc_si128(bitcast<bit<u8>>(x).v, allonesvector(bitcast<bit<u8>>(x)).v);
-}
-KFR_INTRINSIC bool bittestall(const mf64sse& x)
-{
-    return _mm_testc_si128(bitcast<bit<u8>>(x).v, allonesvector(bitcast<bit<u8>>(x)).v);
-}
-#endif
-
-#if !defined CMT_ARCH_SSE41
-
-KFR_INTRINSIC bool bittestany(const mf32sse& x) { return _mm_movemask_ps(x.v); }
-KFR_INTRINSIC bool bittestany(const mf64sse& x) { return _mm_movemask_pd(x.v); }
-KFR_INTRINSIC bool bittestany(const mu8sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mu16sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mu32sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mu64sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mi8sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mi16sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mi32sse& x) { return _mm_movemask_epi8(x.v); }
-KFR_INTRINSIC bool bittestany(const mi64sse& x) { return _mm_movemask_epi8(x.v); }
-
-KFR_INTRINSIC bool bittestall(const mf32sse& x) { return !_mm_movemask_ps((~x).v); }
-KFR_INTRINSIC bool bittestall(const mf64sse& x) { return !_mm_movemask_pd((~x).v); }
-KFR_INTRINSIC bool bittestall(const mu8sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mu16sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mu32sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mu64sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mi8sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mi16sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mi32sse& x) { return !_mm_movemask_epi8((~x).v); }
-KFR_INTRINSIC bool bittestall(const mi64sse& x) { return !_mm_movemask_epi8((~x).v); }
-#endif
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
-{
-    return bittestall(expand_simd(a, bit<T>(true)));
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
-{
-    return bittestall(low(a)) && bittestall(high(a));
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
-{
-    return bittestany(expand_simd(a, bit<T>(false)));
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
-{
-    return bittestany(low(a)) || bittestany(high(a));
-}
-
-#elif CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC bool bittestall(const mu32neon& a)
-{
-    const uint32x2_t tmp = vand_u32(vget_low_u32(a.v), vget_high_u32(a.v));
-    return vget_lane_u32(vpmin_u32(tmp, tmp), 0) == 0xFFFFFFFFu;
-}
-
-KFR_INTRINSIC bool bittestany(const mu32neon& a)
-{
-    const uint32x2_t tmp = vorr_u32(vget_low_u32(a.v), vget_high_u32(a.v));
-    return vget_lane_u32(vpmax_u32(tmp, tmp), 0) != 0;
-}
-KFR_INTRINSIC bool bittestany(const mu8neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mu16neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mu64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mi8neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mi16neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mi64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mf32neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestany(const mf64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
-
-KFR_INTRINSIC bool bittestall(const mu8neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mu16neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mu64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mi8neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mi16neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mi64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mf32neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-KFR_INTRINSIC bool bittestall(const mf64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
-{
-    return bittestall(expand_simd(a, bit<T>(true)));
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
-{
-    return bittestall(low(a)) && bittestall(high(a));
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
-{
-    return bittestany(expand_simd(a, bit<T>(false)));
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
-{
-    return bittestany(low(a)) || bittestany(high(a));
-}
-
-#else
-
-template <typename T, size_t N>
-KFR_INTRINSIC bitmask<N> getmask(const mask<T, N>& x)
-{
-    typename bitmask<N>::type val = 0;
-    for (size_t i = 0; i < N; i++)
-    {
-        val |= static_cast<int>(x[i]) << i;
-    }
-    return val;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& x)
-{
-    return getmask(x).value;
-}
-template <typename T, size_t N>
-KFR_INTRINSIC bool bittestany(const mask<T, N>& x, const mask<T, N>& y)
-{
-    return bittestany(x & y);
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& x)
-{
-    return !getmask(~x).value;
-}
-template <typename T, size_t N>
-KFR_INTRINSIC bool bittestall(const mask<T, N>& x, const mask<T, N>& y)
-{
-    return !bittestany(~x & y);
-}
-#endif
-} // namespace intrinsics
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/min_max.hpp b/include/kfr/math/impl/min_max.hpp
@@ -1,236 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../math/abs.hpp"
-#include "../../math/select.hpp"
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC f32sse min(const f32sse& x, const f32sse& y) { return _mm_min_ps(x.v, y.v); }
-KFR_INTRINSIC f64sse min(const f64sse& x, const f64sse& y) { return _mm_min_pd(x.v, y.v); }
-KFR_INTRINSIC u8sse min(const u8sse& x, const u8sse& y) { return _mm_min_epu8(x.v, y.v); }
-KFR_INTRINSIC i16sse min(const i16sse& x, const i16sse& y) { return _mm_min_epi16(x.v, y.v); }
-
-KFR_INTRINSIC f32sse max(const f32sse& x, const f32sse& y) { return _mm_max_ps(x.v, y.v); }
-KFR_INTRINSIC f64sse max(const f64sse& x, const f64sse& y) { return _mm_max_pd(x.v, y.v); }
-KFR_INTRINSIC u8sse max(const u8sse& x, const u8sse& y) { return _mm_max_epu8(x.v, y.v); }
-KFR_INTRINSIC i16sse max(const i16sse& x, const i16sse& y) { return _mm_max_epi16(x.v, y.v); }
-
-#if defined CMT_ARCH_AVX2
-KFR_INTRINSIC u8avx min(const u8avx& x, const u8avx& y) { return _mm256_min_epu8(x.v, y.v); }
-KFR_INTRINSIC i16avx min(const i16avx& x, const i16avx& y) { return _mm256_min_epi16(x.v, y.v); }
-KFR_INTRINSIC i8avx min(const i8avx& x, const i8avx& y) { return _mm256_min_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx min(const u16avx& x, const u16avx& y) { return _mm256_min_epu16(x.v, y.v); }
-KFR_INTRINSIC i32avx min(const i32avx& x, const i32avx& y) { return _mm256_min_epi32(x.v, y.v); }
-KFR_INTRINSIC u32avx min(const u32avx& x, const u32avx& y) { return _mm256_min_epu32(x.v, y.v); }
-
-KFR_INTRINSIC u8avx max(const u8avx& x, const u8avx& y) { return _mm256_max_epu8(x.v, y.v); }
-KFR_INTRINSIC i16avx max(const i16avx& x, const i16avx& y) { return _mm256_max_epi16(x.v, y.v); }
-KFR_INTRINSIC i8avx max(const i8avx& x, const i8avx& y) { return _mm256_max_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx max(const u16avx& x, const u16avx& y) { return _mm256_max_epu16(x.v, y.v); }
-KFR_INTRINSIC i32avx max(const i32avx& x, const i32avx& y) { return _mm256_max_epi32(x.v, y.v); }
-KFR_INTRINSIC u32avx max(const u32avx& x, const u32avx& y) { return _mm256_max_epu32(x.v, y.v); }
-
-#endif
-
-#if defined CMT_ARCH_AVX512
-KFR_INTRINSIC f32avx512 min(const f32avx512& x, const f32avx512& y) { return _mm512_min_ps(x.v, y.v); }
-KFR_INTRINSIC f64avx512 min(const f64avx512& x, const f64avx512& y) { return _mm512_min_pd(x.v, y.v); }
-KFR_INTRINSIC f32avx512 max(const f32avx512& x, const f32avx512& y) { return _mm512_max_ps(x.v, y.v); }
-KFR_INTRINSIC f64avx512 max(const f64avx512& x, const f64avx512& y) { return _mm512_max_pd(x.v, y.v); }
-
-KFR_INTRINSIC u8avx512 min(const u8avx512& x, const u8avx512& y) { return _mm512_min_epu8(x.v, y.v); }
-KFR_INTRINSIC i16avx512 min(const i16avx512& x, const i16avx512& y) { return _mm512_min_epi16(x.v, y.v); }
-KFR_INTRINSIC i8avx512 min(const i8avx512& x, const i8avx512& y) { return _mm512_min_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx512 min(const u16avx512& x, const u16avx512& y) { return _mm512_min_epu16(x.v, y.v); }
-KFR_INTRINSIC i32avx512 min(const i32avx512& x, const i32avx512& y) { return _mm512_min_epi32(x.v, y.v); }
-KFR_INTRINSIC u32avx512 min(const u32avx512& x, const u32avx512& y) { return _mm512_min_epu32(x.v, y.v); }
-KFR_INTRINSIC u8avx512 max(const u8avx512& x, const u8avx512& y) { return _mm512_max_epu8(x.v, y.v); }
-KFR_INTRINSIC i16avx512 max(const i16avx512& x, const i16avx512& y) { return _mm512_max_epi16(x.v, y.v); }
-KFR_INTRINSIC i8avx512 max(const i8avx512& x, const i8avx512& y) { return _mm512_max_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx512 max(const u16avx512& x, const u16avx512& y) { return _mm512_max_epu16(x.v, y.v); }
-KFR_INTRINSIC i32avx512 max(const i32avx512& x, const i32avx512& y) { return _mm512_max_epi32(x.v, y.v); }
-KFR_INTRINSIC u32avx512 max(const u32avx512& x, const u32avx512& y) { return _mm512_max_epu32(x.v, y.v); }
-KFR_INTRINSIC i64avx512 min(const i64avx512& x, const i64avx512& y) { return _mm512_min_epi64(x.v, y.v); }
-KFR_INTRINSIC u64avx512 min(const u64avx512& x, const u64avx512& y) { return _mm512_min_epu64(x.v, y.v); }
-KFR_INTRINSIC i64avx512 max(const i64avx512& x, const i64avx512& y) { return _mm512_max_epi64(x.v, y.v); }
-KFR_INTRINSIC u64avx512 max(const u64avx512& x, const u64avx512& y) { return _mm512_max_epu64(x.v, y.v); }
-
-KFR_INTRINSIC i64avx min(const i64avx& x, const i64avx& y) { return _mm256_min_epi64(x.v, y.v); }
-KFR_INTRINSIC u64avx min(const u64avx& x, const u64avx& y) { return _mm256_min_epu64(x.v, y.v); }
-KFR_INTRINSIC i64avx max(const i64avx& x, const i64avx& y) { return _mm256_max_epi64(x.v, y.v); }
-KFR_INTRINSIC u64avx max(const u64avx& x, const u64avx& y) { return _mm256_max_epu64(x.v, y.v); }
-
-KFR_INTRINSIC i64sse min(const i64sse& x, const i64sse& y) { return _mm_min_epi64(x.v, y.v); }
-KFR_INTRINSIC u64sse min(const u64sse& x, const u64sse& y) { return _mm_min_epu64(x.v, y.v); }
-KFR_INTRINSIC i64sse max(const i64sse& x, const i64sse& y) { return _mm_max_epi64(x.v, y.v); }
-KFR_INTRINSIC u64sse max(const u64sse& x, const u64sse& y) { return _mm_max_epu64(x.v, y.v); }
-#else
-KFR_INTRINSIC i64sse min(const i64sse& x, const i64sse& y) { return select(x < y, x, y); }
-KFR_INTRINSIC u64sse min(const u64sse& x, const u64sse& y) { return select(x < y, x, y); }
-KFR_INTRINSIC i64sse max(const i64sse& x, const i64sse& y) { return select(x > y, x, y); }
-KFR_INTRINSIC u64sse max(const u64sse& x, const u64sse& y) { return select(x > y, x, y); }
-KFR_INTRINSIC i64avx min(const i64avx& x, const i64avx& y) { return select(x < y, x, y); }
-KFR_INTRINSIC u64avx min(const u64avx& x, const u64avx& y) { return select(x < y, x, y); }
-KFR_INTRINSIC i64avx max(const i64avx& x, const i64avx& y) { return select(x > y, x, y); }
-KFR_INTRINSIC u64avx max(const u64avx& x, const u64avx& y) { return select(x > y, x, y); }
-#endif
-
-#if defined CMT_ARCH_AVX
-KFR_INTRINSIC f32avx min(const f32avx& x, const f32avx& y) { return _mm256_min_ps(x.v, y.v); }
-KFR_INTRINSIC f64avx min(const f64avx& x, const f64avx& y) { return _mm256_min_pd(x.v, y.v); }
-KFR_INTRINSIC f32avx max(const f32avx& x, const f32avx& y) { return _mm256_max_ps(x.v, y.v); }
-KFR_INTRINSIC f64avx max(const f64avx& x, const f64avx& y) { return _mm256_max_pd(x.v, y.v); }
-#endif
-
-#if defined CMT_ARCH_SSE41
-KFR_INTRINSIC i8sse min(const i8sse& x, const i8sse& y) { return _mm_min_epi8(x.v, y.v); }
-KFR_INTRINSIC u16sse min(const u16sse& x, const u16sse& y) { return _mm_min_epu16(x.v, y.v); }
-KFR_INTRINSIC i32sse min(const i32sse& x, const i32sse& y) { return _mm_min_epi32(x.v, y.v); }
-KFR_INTRINSIC u32sse min(const u32sse& x, const u32sse& y) { return _mm_min_epu32(x.v, y.v); }
-
-KFR_INTRINSIC i8sse max(const i8sse& x, const i8sse& y) { return _mm_max_epi8(x.v, y.v); }
-KFR_INTRINSIC u16sse max(const u16sse& x, const u16sse& y) { return _mm_max_epu16(x.v, y.v); }
-KFR_INTRINSIC i32sse max(const i32sse& x, const i32sse& y) { return _mm_max_epi32(x.v, y.v); }
-KFR_INTRINSIC u32sse max(const u32sse& x, const u32sse& y) { return _mm_max_epu32(x.v, y.v); }
-#else
-KFR_INTRINSIC i8sse min(const i8sse& x, const i8sse& y) { return select(x < y, x, y); }
-KFR_INTRINSIC u16sse min(const u16sse& x, const u16sse& y) { return select(x < y, x, y); }
-KFR_INTRINSIC i32sse min(const i32sse& x, const i32sse& y) { return select(x < y, x, y); }
-KFR_INTRINSIC u32sse min(const u32sse& x, const u32sse& y) { return select(x < y, x, y); }
-
-KFR_INTRINSIC i8sse max(const i8sse& x, const i8sse& y) { return select(x > y, x, y); }
-KFR_INTRINSIC u16sse max(const u16sse& x, const u16sse& y) { return select(x > y, x, y); }
-KFR_INTRINSIC i32sse max(const i32sse& x, const i32sse& y) { return select(x > y, x, y); }
-KFR_INTRINSIC u32sse max(const u32sse& x, const u32sse& y) { return select(x > y, x, y); }
-
-#endif
-
-KFR_HANDLE_ALL_SIZES_2(min)
-KFR_HANDLE_ALL_SIZES_2(max)
-
-#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC i8neon min(const i8neon& x, const i8neon& y) { return vminq_s8(x.v, y.v); }
-KFR_INTRINSIC u8neon min(const u8neon& x, const u8neon& y) { return vminq_u8(x.v, y.v); }
-KFR_INTRINSIC i16neon min(const i16neon& x, const i16neon& y) { return vminq_s16(x.v, y.v); }
-KFR_INTRINSIC u16neon min(const u16neon& x, const u16neon& y) { return vminq_u16(x.v, y.v); }
-KFR_INTRINSIC i32neon min(const i32neon& x, const i32neon& y) { return vminq_s32(x.v, y.v); }
-KFR_INTRINSIC u32neon min(const u32neon& x, const u32neon& y) { return vminq_u32(x.v, y.v); }
-KFR_INTRINSIC i64neon min(const i64neon& x, const i64neon& y) { return select(x < y, x, y); }
-KFR_INTRINSIC u64neon min(const u64neon& x, const u64neon& y) { return select(x < y, x, y); }
-
-KFR_INTRINSIC i8neon max(const i8neon& x, const i8neon& y) { return vmaxq_s8(x.v, y.v); }
-KFR_INTRINSIC u8neon max(const u8neon& x, const u8neon& y) { return vmaxq_u8(x.v, y.v); }
-KFR_INTRINSIC i16neon max(const i16neon& x, const i16neon& y) { return vmaxq_s16(x.v, y.v); }
-KFR_INTRINSIC u16neon max(const u16neon& x, const u16neon& y) { return vmaxq_u16(x.v, y.v); }
-KFR_INTRINSIC i32neon max(const i32neon& x, const i32neon& y) { return vmaxq_s32(x.v, y.v); }
-KFR_INTRINSIC u32neon max(const u32neon& x, const u32neon& y) { return vmaxq_u32(x.v, y.v); }
-KFR_INTRINSIC i64neon max(const i64neon& x, const i64neon& y) { return select(x > y, x, y); }
-KFR_INTRINSIC u64neon max(const u64neon& x, const u64neon& y) { return select(x > y, x, y); }
-
-KFR_INTRINSIC f32neon min(const f32neon& x, const f32neon& y) { return vminq_f32(x.v, y.v); }
-KFR_INTRINSIC f32neon max(const f32neon& x, const f32neon& y) { return vmaxq_f32(x.v, y.v); }
-#if defined CMT_ARCH_NEON64
-KFR_INTRINSIC f64neon min(const f64neon& x, const f64neon& y) { return vminq_f64(x.v, y.v); }
-KFR_INTRINSIC f64neon max(const f64neon& x, const f64neon& y) { return vmaxq_f64(x.v, y.v); }
-#else
-KFR_INTRINSIC f64neon min(const f64neon& x, const f64neon& y) { return select(x < y, x, y); }
-KFR_INTRINSIC f64neon max(const f64neon& x, const f64neon& y) { return select(x > y, x, y); }
-#endif
-
-KFR_HANDLE_ALL_SIZES_2(min)
-KFR_HANDLE_ALL_SIZES_2(max)
-
-#else
-
-// fallback
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> min(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return select(x < y, x, y);
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> max(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return select(x > y, x, y);
-}
-#endif
-
-template <typename T>
-KFR_INTRINSIC T min(initialvalue<T>)
-{
-    return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity()
-                                                : std::numeric_limits<T>::max();
-}
-template <typename T>
-KFR_INTRINSIC T max(initialvalue<T>)
-{
-    return std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity()
-                                                : std::numeric_limits<T>::min();
-}
-template <typename T>
-KFR_INTRINSIC T absmin(initialvalue<T>)
-{
-    return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity()
-                                                : std::numeric_limits<T>::max();
-}
-template <typename T>
-KFR_INTRINSIC T absmax(initialvalue<T>)
-{
-    return 0;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> absmin(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return min(abs(x), abs(y));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> absmax(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return max(abs(x), abs(y));
-}
-
-KFR_HANDLE_SCALAR(min)
-KFR_HANDLE_SCALAR(max)
-KFR_HANDLE_SCALAR(absmin)
-KFR_HANDLE_SCALAR(absmax)
-} // namespace intrinsics
-KFR_I_FN(min)
-KFR_I_FN(max)
-KFR_I_FN(absmin)
-KFR_I_FN(absmax)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/round.hpp b/include/kfr/math/impl/round.hpp
@@ -1,282 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-#include "abs.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-#define KFR_mm_trunc_ps(V) _mm_round_ps((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm_roundnearest_ps(V) _mm_round_ps((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-#define KFR_mm_trunc_pd(V) _mm_round_pd((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm_roundnearest_pd(V) _mm_round_pd((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-
-#define KFR_mm_trunc_ss(V) _mm_round_ss(_mm_setzero_ps(), (V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm_roundnearest_ss(V)                                                                            \
-    _mm_round_ss(_mm_setzero_ps(), (V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-#define KFR_mm_trunc_sd(V) _mm_round_sd(_mm_setzero_pd(), (V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm_roundnearest_sd(V)                                                                            \
-    _mm_round_sd(_mm_setzero_pd(), (V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-
-#define KFR_mm_floor_ss(V) _mm_floor_ss(_mm_setzero_ps(), (V))
-#define KFR_mm_floor_sd(V) _mm_floor_sd(_mm_setzero_pd(), (V))
-#define KFR_mm_ceil_ss(V) _mm_ceil_ss(_mm_setzero_ps(), (V))
-#define KFR_mm_ceil_sd(V) _mm_ceil_sd(_mm_setzero_pd(), (V))
-
-#define KFR_mm256_trunc_ps(V) _mm256_round_ps((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm256_roundnearest_ps(V) _mm256_round_ps((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-#define KFR_mm256_trunc_pd(V) _mm256_round_pd((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
-#define KFR_mm256_roundnearest_pd(V) _mm256_round_pd((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
-
-#if defined CMT_ARCH_SSE41 && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC f32sse floor(const f32sse& value) { return _mm_floor_ps(value.v); }
-KFR_INTRINSIC f32sse ceil(const f32sse& value) { return _mm_ceil_ps(value.v); }
-KFR_INTRINSIC f32sse trunc(const f32sse& value) { return KFR_mm_trunc_ps(value.v); }
-KFR_INTRINSIC f32sse round(const f32sse& value) { return KFR_mm_roundnearest_ps(value.v); }
-KFR_INTRINSIC f64sse floor(const f64sse& value) { return _mm_floor_pd(value.v); }
-KFR_INTRINSIC f64sse ceil(const f64sse& value) { return _mm_ceil_pd(value.v); }
-KFR_INTRINSIC f64sse trunc(const f64sse& value) { return KFR_mm_trunc_pd(value.v); }
-KFR_INTRINSIC f64sse round(const f64sse& value) { return KFR_mm_roundnearest_pd(value.v); }
-KFR_INTRINSIC f32sse fract(const f32sse& x) { return x - floor(x); }
-KFR_INTRINSIC f64sse fract(const f64sse& x) { return x - floor(x); }
-
-#if defined CMT_ARCH_AVX
-
-KFR_INTRINSIC f32avx floor(const f32avx& value) { return _mm256_floor_ps(value.v); }
-KFR_INTRINSIC f32avx ceil(const f32avx& value) { return _mm256_ceil_ps(value.v); }
-KFR_INTRINSIC f32avx trunc(const f32avx& value) { return KFR_mm256_trunc_ps(value.v); }
-KFR_INTRINSIC f32avx round(const f32avx& value) { return KFR_mm256_roundnearest_ps(value.v); }
-KFR_INTRINSIC f64avx floor(const f64avx& value) { return _mm256_floor_pd(value.v); }
-KFR_INTRINSIC f64avx ceil(const f64avx& value) { return _mm256_ceil_pd(value.v); }
-KFR_INTRINSIC f64avx trunc(const f64avx& value) { return KFR_mm256_trunc_pd(value.v); }
-KFR_INTRINSIC f64avx round(const f64avx& value) { return KFR_mm256_roundnearest_pd(value.v); }
-KFR_INTRINSIC f32avx fract(const f32avx& x) { return x - floor(x); }
-KFR_INTRINSIC f64avx fract(const f64avx& x) { return x - floor(x); }
-
-#endif
-
-#if defined CMT_ARCH_AVX512
-
-KFR_INTRINSIC f32avx512 floor(const f32avx512& value)
-{
-    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f32avx512 ceil(const f32avx512& value)
-{
-    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f32avx512 trunc(const f32avx512& value)
-{
-    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f32avx512 round(const f32avx512& value)
-{
-    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f64avx512 floor(const f64avx512& value)
-{
-    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f64avx512 ceil(const f64avx512& value)
-{
-    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f64avx512 trunc(const f64avx512& value)
-{
-    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f64avx512 round(const f64avx512& value)
-{
-    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC);
-}
-KFR_INTRINSIC f32avx512 fract(const f32avx512& x) { return x - floor(x); }
-KFR_INTRINSIC f64avx512 fract(const f64avx512& x) { return x - floor(x); }
-#endif
-
-KFR_HANDLE_ALL_SIZES_1_IF(floor, is_f_class<T>)
-KFR_HANDLE_ALL_SIZES_1_IF(ceil, is_f_class<T>)
-KFR_HANDLE_ALL_SIZES_1_IF(round, is_f_class<T>)
-KFR_HANDLE_ALL_SIZES_1_IF(trunc, is_f_class<T>)
-KFR_HANDLE_ALL_SIZES_1_IF(fract, is_f_class<T>)
-
-#else
-
-// fallback
-
-template <typename T>
-constexpr inline T fp_precision_limit = 4503599627370496.0;
-template <>
-constexpr inline f32 fp_precision_limit<f32> = 16777216.0f;
-
-template <size_t N>
-KFR_INTRINSIC vec<f32, N> floor(const vec<f32, N>& x)
-{
-    vec<f32, N> t = innercast<f32>(innercast<i32>(x));
-    return select(abs(x) >= fp_precision_limit<f32>, x, t - select(x < t, 1.f, 0.f));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f64, N> floor(const vec<f64, N>& x)
-{
-    vec<f64, N> t = innercast<f64>(innercast<i64>(x));
-    return select(abs(x) >= fp_precision_limit<f64>, x, t - select(x < t, 1., 0.));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f32, N> ceil(const vec<f32, N>& x)
-{
-    vec<f32, N> t = innercast<f32>(innercast<i32>(x));
-    return select(abs(x) >= fp_precision_limit<f32>, x, t + select(x > t, 1.f, 0.f));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f64, N> ceil(const vec<f64, N>& x)
-{
-    vec<f64, N> t = innercast<f64>(innercast<i64>(x));
-    return select(abs(x) >= fp_precision_limit<f64>, x, t + select(x > t, 1., 0.));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f32, N> round(const vec<f32, N>& x)
-{
-    return select(abs(x) >= fp_precision_limit<f32>, x,
-                  innercast<f32>(innercast<i32>(x + mulsign(broadcast<N>(0.5f), x))));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f64, N> round(const vec<f64, N>& x)
-{
-    return select(abs(x) >= fp_precision_limit<f64>, x,
-                  innercast<f64>(innercast<i64>(x + mulsign(broadcast<N>(0.5), x))));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f32, N> trunc(const vec<f32, N>& x)
-{
-    return select(abs(x) >= fp_precision_limit<f32>, x, innercast<f32>(innercast<i32>(x)));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f64, N> trunc(const vec<f64, N>& x)
-{
-    return select(abs(x) >= fp_precision_limit<f64>, x, innercast<f64>(innercast<i64>(x)));
-}
-template <size_t N>
-KFR_INTRINSIC vec<f32, N> fract(const vec<f32, N>& x)
-{
-    return x - floor(x);
-}
-template <size_t N>
-KFR_INTRINSIC vec<f64, N> fract(const vec<f64, N>& x)
-{
-    return x - floor(x);
-}
-#endif
-
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> floor(const vec<T, N>& value)
-{
-    return value;
-}
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> ceil(const vec<T, N>& value)
-{
-    return value;
-}
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> trunc(const vec<T, N>& value)
-{
-    return value;
-}
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> round(const vec<T, N>& value)
-{
-    return value;
-}
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> fract(const vec<T, N>&)
-{
-    return T(0);
-}
-
-template <typename T, size_t N, typename IT = itype<T>>
-KFR_INTRINSIC vec<IT, N> ifloor(const vec<T, N>& value)
-{
-    return innercast<IT>(floor(value));
-}
-template <typename T, size_t N, typename IT = itype<T>>
-KFR_INTRINSIC vec<IT, N> iceil(const vec<T, N>& value)
-{
-    return innercast<IT>(ceil(value));
-}
-template <typename T, size_t N, typename IT = itype<T>>
-KFR_INTRINSIC vec<IT, N> itrunc(const vec<T, N>& value)
-{
-    return innercast<IT>(trunc(value));
-}
-template <typename T, size_t N, typename IT = itype<T>>
-KFR_INTRINSIC vec<IT, N> iround(const vec<T, N>& value)
-{
-    return innercast<IT>(round(value));
-}
-
-KFR_HANDLE_SCALAR(floor)
-KFR_HANDLE_SCALAR(ceil)
-KFR_HANDLE_SCALAR(round)
-KFR_HANDLE_SCALAR(trunc)
-KFR_HANDLE_SCALAR(fract)
-KFR_HANDLE_SCALAR(ifloor)
-KFR_HANDLE_SCALAR(iceil)
-KFR_HANDLE_SCALAR(iround)
-KFR_HANDLE_SCALAR(itrunc)
-} // namespace intrinsics
-KFR_I_FN(floor)
-KFR_I_FN(ceil)
-KFR_I_FN(round)
-KFR_I_FN(trunc)
-KFR_I_FN(fract)
-KFR_I_FN(ifloor)
-KFR_I_FN(iceil)
-KFR_I_FN(iround)
-KFR_I_FN(itrunc)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
-
-#undef KFR_mm_trunc_ps
-#undef KFR_mm_roundnearest_ps
-#undef KFR_mm_trunc_pd
-#undef KFR_mm_roundnearest_pd
-#undef KFR_mm_trunc_ss
-#undef KFR_mm_roundnearest_ss
-#undef KFR_mm_trunc_sd
-#undef KFR_mm_roundnearest_sd
-#undef KFR_mm_floor_ss
-#undef KFR_mm_floor_sd
-#undef KFR_mm_ceil_ss
-#undef KFR_mm_ceil_sd
-#undef KFR_mm256_trunc_ps
-#undef KFR_mm256_roundnearest_ps
-#undef KFR_mm256_trunc_pd
-#undef KFR_mm256_roundnearest_pd
diff --git a/include/kfr/math/impl/saturation.hpp b/include/kfr/math/impl/saturation.hpp
@@ -1,205 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../math/select.hpp"
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-// Generic functions
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> saturated_signed_add(const vec<T, N>& a, const vec<T, N>& b)
-{
-    using UT               = utype<T>;
-    constexpr size_t shift = typebits<UT>::bits - 1;
-    vec<UT, N> aa          = bitcast<UT>(a);
-    vec<UT, N> bb          = bitcast<UT>(b);
-    const vec<UT, N> sum   = aa + bb;
-    aa                     = (aa >> shift) + static_cast<UT>(std::numeric_limits<T>::max());
-
-    return select(bitcast<T>((aa ^ bb) | ~(bb ^ sum)) >= T(), a, bitcast<T>(sum));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> saturated_signed_sub(const vec<T, N>& a, const vec<T, N>& b)
-{
-    using UT               = utype<T>;
-    constexpr size_t shift = typebits<UT>::bits - 1;
-    vec<UT, N> aa          = bitcast<UT>(a);
-    vec<UT, N> bb          = bitcast<UT>(b);
-    const vec<UT, N> diff  = aa - bb;
-    aa                     = (aa >> shift) + static_cast<UT>(std::numeric_limits<T>::max());
-
-    return select(bitcast<T>((aa ^ bb) & (aa ^ diff)) < T(), a, bitcast<T>(diff));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> saturated_unsigned_add(const vec<T, N>& a, const vec<T, N>& b)
-{
-    const vec<T, N> t = allonesvector(a);
-    return select(a > t - b, t, a + b);
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> saturated_unsigned_sub(const vec<T, N>& a, const vec<T, N>& b)
-{
-    return select(a < b, zerovector(a), a - b);
-}
-
-#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC u8sse satadd(const u8sse& x, const u8sse& y) { return _mm_adds_epu8(x.v, y.v); }
-KFR_INTRINSIC i8sse satadd(const i8sse& x, const i8sse& y) { return _mm_adds_epi8(x.v, y.v); }
-KFR_INTRINSIC u16sse satadd(const u16sse& x, const u16sse& y) { return _mm_adds_epu16(x.v, y.v); }
-KFR_INTRINSIC i16sse satadd(const i16sse& x, const i16sse& y) { return _mm_adds_epi16(x.v, y.v); }
-
-KFR_INTRINSIC u8sse satsub(const u8sse& x, const u8sse& y) { return _mm_subs_epu8(x.v, y.v); }
-KFR_INTRINSIC i8sse satsub(const i8sse& x, const i8sse& y) { return _mm_subs_epi8(x.v, y.v); }
-KFR_INTRINSIC u16sse satsub(const u16sse& x, const u16sse& y) { return _mm_subs_epu16(x.v, y.v); }
-KFR_INTRINSIC i16sse satsub(const i16sse& x, const i16sse& y) { return _mm_subs_epi16(x.v, y.v); }
-
-KFR_INTRINSIC i32sse satadd(const i32sse& a, const i32sse& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC i64sse satadd(const i64sse& a, const i64sse& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC u32sse satadd(const u32sse& a, const u32sse& b) { return saturated_unsigned_add(a, b); }
-KFR_INTRINSIC u64sse satadd(const u64sse& a, const u64sse& b) { return saturated_unsigned_add(a, b); }
-
-KFR_INTRINSIC i32sse satsub(const i32sse& a, const i32sse& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC i64sse satsub(const i64sse& a, const i64sse& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC u32sse satsub(const u32sse& a, const u32sse& b) { return saturated_unsigned_sub(a, b); }
-KFR_INTRINSIC u64sse satsub(const u64sse& a, const u64sse& b) { return saturated_unsigned_sub(a, b); }
-
-#if defined CMT_ARCH_AVX2
-KFR_INTRINSIC u8avx satadd(const u8avx& x, const u8avx& y) { return _mm256_adds_epu8(x.v, y.v); }
-KFR_INTRINSIC i8avx satadd(const i8avx& x, const i8avx& y) { return _mm256_adds_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx satadd(const u16avx& x, const u16avx& y) { return _mm256_adds_epu16(x.v, y.v); }
-KFR_INTRINSIC i16avx satadd(const i16avx& x, const i16avx& y) { return _mm256_adds_epi16(x.v, y.v); }
-
-KFR_INTRINSIC u8avx satsub(const u8avx& x, const u8avx& y) { return _mm256_subs_epu8(x.v, y.v); }
-KFR_INTRINSIC i8avx satsub(const i8avx& x, const i8avx& y) { return _mm256_subs_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx satsub(const u16avx& x, const u16avx& y) { return _mm256_subs_epu16(x.v, y.v); }
-KFR_INTRINSIC i16avx satsub(const i16avx& x, const i16avx& y) { return _mm256_subs_epi16(x.v, y.v); }
-
-KFR_INTRINSIC i32avx satadd(const i32avx& a, const i32avx& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC i64avx satadd(const i64avx& a, const i64avx& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC u32avx satadd(const u32avx& a, const u32avx& b) { return saturated_unsigned_add(a, b); }
-KFR_INTRINSIC u64avx satadd(const u64avx& a, const u64avx& b) { return saturated_unsigned_add(a, b); }
-
-KFR_INTRINSIC i32avx satsub(const i32avx& a, const i32avx& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC i64avx satsub(const i64avx& a, const i64avx& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC u32avx satsub(const u32avx& a, const u32avx& b) { return saturated_unsigned_sub(a, b); }
-KFR_INTRINSIC u64avx satsub(const u64avx& a, const u64avx& b) { return saturated_unsigned_sub(a, b); }
-#endif
-
-#if defined CMT_ARCH_AVX512
-KFR_INTRINSIC u8avx512 satadd(const u8avx512& x, const u8avx512& y) { return _mm512_adds_epu8(x.v, y.v); }
-KFR_INTRINSIC i8avx512 satadd(const i8avx512& x, const i8avx512& y) { return _mm512_adds_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx512 satadd(const u16avx512& x, const u16avx512& y) { return _mm512_adds_epu16(x.v, y.v); }
-KFR_INTRINSIC i16avx512 satadd(const i16avx512& x, const i16avx512& y) { return _mm512_adds_epi16(x.v, y.v); }
-KFR_INTRINSIC u8avx512 satsub(const u8avx512& x, const u8avx512& y) { return _mm512_subs_epu8(x.v, y.v); }
-KFR_INTRINSIC i8avx512 satsub(const i8avx512& x, const i8avx512& y) { return _mm512_subs_epi8(x.v, y.v); }
-KFR_INTRINSIC u16avx512 satsub(const u16avx512& x, const u16avx512& y) { return _mm512_subs_epu16(x.v, y.v); }
-KFR_INTRINSIC i16avx512 satsub(const i16avx512& x, const i16avx512& y) { return _mm512_subs_epi16(x.v, y.v); }
-
-KFR_INTRINSIC i32avx512 satadd(const i32avx512& a, const i32avx512& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC i64avx512 satadd(const i64avx512& a, const i64avx512& b) { return saturated_signed_add(a, b); }
-KFR_INTRINSIC u32avx512 satadd(const u32avx512& a, const u32avx512& b)
-{
-    return saturated_unsigned_add(a, b);
-}
-KFR_INTRINSIC u64avx512 satadd(const u64avx512& a, const u64avx512& b)
-{
-    return saturated_unsigned_add(a, b);
-}
-KFR_INTRINSIC i32avx512 satsub(const i32avx512& a, const i32avx512& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC i64avx512 satsub(const i64avx512& a, const i64avx512& b) { return saturated_signed_sub(a, b); }
-KFR_INTRINSIC u32avx512 satsub(const u32avx512& a, const u32avx512& b)
-{
-    return saturated_unsigned_sub(a, b);
-}
-KFR_INTRINSIC u64avx512 satsub(const u64avx512& a, const u64avx512& b)
-{
-    return saturated_unsigned_sub(a, b);
-}
-#endif
-
-KFR_HANDLE_ALL_SIZES_2(satadd)
-KFR_HANDLE_ALL_SIZES_2(satsub)
-
-#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC u8neon satadd(const u8neon& x, const u8neon& y) { return vqaddq_u8(x.v, y.v); }
-KFR_INTRINSIC i8neon satadd(const i8neon& x, const i8neon& y) { return vqaddq_s8(x.v, y.v); }
-KFR_INTRINSIC u16neon satadd(const u16neon& x, const u16neon& y) { return vqaddq_u16(x.v, y.v); }
-KFR_INTRINSIC i16neon satadd(const i16neon& x, const i16neon& y) { return vqaddq_s16(x.v, y.v); }
-KFR_INTRINSIC u32neon satadd(const u32neon& a, const u32neon& b) { return vqaddq_u32(a.v, b.v); }
-KFR_INTRINSIC i32neon satadd(const i32neon& a, const i32neon& b) { return vqaddq_s32(a.v, b.v); }
-KFR_INTRINSIC u64neon satadd(const u64neon& a, const u64neon& b) { return vqaddq_u64(a.v, b.v); }
-KFR_INTRINSIC i64neon satadd(const i64neon& a, const i64neon& b) { return vqaddq_s64(a.v, b.v); }
-
-KFR_INTRINSIC u8neon satsub(const u8neon& x, const u8neon& y) { return vqsubq_u8(x.v, y.v); }
-KFR_INTRINSIC i8neon satsub(const i8neon& x, const i8neon& y) { return vqsubq_s8(x.v, y.v); }
-KFR_INTRINSIC u16neon satsub(const u16neon& x, const u16neon& y) { return vqsubq_u16(x.v, y.v); }
-KFR_INTRINSIC i16neon satsub(const i16neon& x, const i16neon& y) { return vqsubq_s16(x.v, y.v); }
-KFR_INTRINSIC u32neon satsub(const u32neon& a, const u32neon& b) { return vqsubq_u32(a.v, b.v); }
-KFR_INTRINSIC i32neon satsub(const i32neon& a, const i32neon& b) { return vqsubq_s32(a.v, b.v); }
-KFR_INTRINSIC u64neon satsub(const u64neon& a, const u64neon& b) { return vqsubq_u64(a.v, b.v); }
-KFR_INTRINSIC i64neon satsub(const i64neon& a, const i64neon& b) { return vqsubq_s64(a.v, b.v); }
-
-KFR_HANDLE_ALL_SIZES_2(satadd)
-KFR_HANDLE_ALL_SIZES_2(satsub)
-
-#else
-// fallback
-template <typename T, size_t N, KFR_ENABLE_IF(is_signed<T>)>
-KFR_INTRINSIC vec<T, N> satadd(const vec<T, N>& a, const vec<T, N>& b)
-{
-    return saturated_signed_add(a, b);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(is_unsigned<T>)>
-KFR_INTRINSIC vec<T, N> satadd(const vec<T, N>& a, const vec<T, N>& b)
-{
-    return saturated_unsigned_add(a, b);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(is_signed<T>)>
-KFR_INTRINSIC vec<T, N> satsub(const vec<T, N>& a, const vec<T, N>& b)
-{
-    return saturated_signed_sub(a, b);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(is_unsigned<T>)>
-KFR_INTRINSIC vec<T, N> satsub(const vec<T, N>& a, const vec<T, N>& b)
-{
-    return saturated_unsigned_sub(a, b);
-}
-#endif
-KFR_HANDLE_SCALAR(satadd)
-KFR_HANDLE_SCALAR(satsub)
-} // namespace intrinsics
-KFR_I_FN(satadd)
-KFR_I_FN(satsub)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/select.hpp b/include/kfr/math/impl/select.hpp
@@ -1,331 +0,0 @@
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "../../simd/impl/function.hpp"
-#include "../../simd/operators.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-namespace intrinsics
-{
-
-#if defined CMT_ARCH_SSE41 && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC u8sse select(const mu8sse& m, const u8sse& x, const u8sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u16sse select(const mu16sse& m, const u16sse& x, const u16sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u32sse select(const mu32sse& m, const u32sse& x, const u32sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u64sse select(const mu64sse& m, const u64sse& x, const u64sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i8sse select(const mi8sse& m, const i8sse& x, const i8sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i16sse select(const mi16sse& m, const i16sse& x, const i16sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i32sse select(const mi32sse& m, const i32sse& x, const i32sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i64sse select(const mi64sse& m, const i64sse& x, const i64sse& y)
-{
-    return _mm_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC f32sse select(const mf32sse& m, const f32sse& x, const f32sse& y)
-{
-    return _mm_blendv_ps(y.v, x.v, m.v);
-}
-KFR_INTRINSIC f64sse select(const mf64sse& m, const f64sse& x, const f64sse& y)
-{
-    return _mm_blendv_pd(y.v, x.v, m.v);
-}
-
-#if defined CMT_ARCH_AVX
-KFR_INTRINSIC f64avx select(const mf64avx& m, const f64avx& x, const f64avx& y)
-{
-    return _mm256_blendv_pd(y.v, x.v, m.v);
-}
-KFR_INTRINSIC f32avx select(const mf32avx& m, const f32avx& x, const f32avx& y)
-{
-    return _mm256_blendv_ps(y.v, x.v, m.v);
-}
-#endif
-
-#if defined CMT_ARCH_AVX2
-KFR_INTRINSIC u8avx select(const mu8avx& m, const u8avx& x, const u8avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u16avx select(const mu16avx& m, const u16avx& x, const u16avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u32avx select(const mu32avx& m, const u32avx& x, const u32avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC u64avx select(const mu64avx& m, const u64avx& x, const u64avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i8avx select(const mi8avx& m, const i8avx& x, const i8avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i16avx select(const mi16avx& m, const i16avx& x, const i16avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i32avx select(const mi32avx& m, const i32avx& x, const i32avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-KFR_INTRINSIC i64avx select(const mi64avx& m, const i64avx& x, const i64avx& y)
-{
-    return _mm256_blendv_epi8(y.v, x.v, m.v);
-}
-#endif
-
-#if defined CMT_ARCH_AVX512
-KFR_INTRINSIC f64avx512 select(const mf64avx512& m, const f64avx512& x, const f64avx512& y)
-{
-    return _mm512_mask_blend_pd(_mm512_movepi64_mask(_mm512_castpd_si512(m.v)), y.v, x.v);
-}
-KFR_INTRINSIC f32avx512 select(const mf32avx512& m, const f32avx512& x, const f32avx512& y)
-{
-    return _mm512_mask_blend_ps(_mm512_movepi32_mask(_mm512_castps_si512(m.v)), y.v, x.v);
-}
-KFR_INTRINSIC u8avx512 select(const mu8avx512& m, const u8avx512& x, const u8avx512& y)
-{
-    return _mm512_mask_blend_epi8(_mm512_movepi8_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC u16avx512 select(const mu16avx512& m, const u16avx512& x, const u16avx512& y)
-{
-    return _mm512_mask_blend_epi16(_mm512_movepi16_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC u32avx512 select(const mu32avx512& m, const u32avx512& x, const u32avx512& y)
-{
-    return _mm512_mask_blend_epi32(_mm512_movepi32_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC u64avx512 select(const mu64avx512& m, const u64avx512& x, const u64avx512& y)
-{
-    return _mm512_mask_blend_epi64(_mm512_movepi64_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC i8avx512 select(const mi8avx512& m, const i8avx512& x, const i8avx512& y)
-{
-    return _mm512_mask_blend_epi8(_mm512_movepi8_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC i16avx512 select(const mi16avx512& m, const i16avx512& x, const i16avx512& y)
-{
-    return _mm512_mask_blend_epi16(_mm512_movepi16_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC i32avx512 select(const mi32avx512& m, const i32avx512& x, const i32avx512& y)
-{
-    return _mm512_mask_blend_epi32(_mm512_movepi32_mask(m.v), y.v, x.v);
-}
-KFR_INTRINSIC i64avx512 select(const mi64avx512& m, const i64avx512& x, const i64avx512& y)
-{
-    return _mm512_mask_blend_epi64(_mm512_movepi64_mask(m.v), y.v, x.v);
-}
-#endif
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
-{
-    constexpr size_t Nout = next_simd_width<T>(N);
-    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), c.shuffle(csizeseq<Nout>))
-        .shuffle(csizeseq<N>);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
-{
-    return concat(select(low(a), low(b), low(c)), select(high(a), high(b), high(c)));
-    //    return concat2(select(a.h.low, b.h.low, c.h.low), select(a.h.high, b.h.high, c.h.high));
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const T& c)
-{
-    constexpr size_t Nout = next_simd_width<T>(N);
-    return select(a.shuffle(csizeseq<Nout>), vec<T, Nout>(b), vec<T, Nout>(c)).shuffle(csizeseq<N>);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const T& c)
-{
-    return concat2(select(a.h.low, b, c), select(a.h.high, b, c));
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const T& c)
-{
-    constexpr size_t Nout = next_simd_width<T>(N);
-    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), vec<T, Nout>(c)).shuffle(csizeseq<N>);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const T& c)
-{
-    return concat2(select(a.h.low, b.h.low, c), select(a.h.high, b.h.high, c));
-}
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const vec<T, N>& c)
-{
-    constexpr size_t Nout = next_simd_width<T>(N);
-    return select(shufflevector(a, csizeseq<Nout>), vec<T, Nout>(b), c.shuffle(csizeseq<Nout>))
-        .shuffle(csizeseq<N>);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const vec<T, N>& c)
-{
-    return concat2(select(a.h.low, b, c.h.low), select(a.h.high, b, c.h.high));
-}
-
-#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
-
-KFR_INTRINSIC f32neon select(const mf32neon& m, const f32neon& x, const f32neon& y)
-{
-    return vbslq_f32(m.v, x.v, y.v);
-}
-KFR_INTRINSIC i8neon select(const mi8neon& m, const i8neon& x, const i8neon& y)
-{
-    return vbslq_s8(m.v, x.v, y.v);
-}
-KFR_INTRINSIC u8neon select(const mu8neon& m, const u8neon& x, const u8neon& y)
-{
-    return vbslq_u8(m.v, x.v, y.v);
-}
-KFR_INTRINSIC i16neon select(const mi16neon& m, const i16neon& x, const i16neon& y)
-{
-    return vbslq_s16(m.v, x.v, y.v);
-}
-KFR_INTRINSIC u16neon select(const mu16neon& m, const u16neon& x, const u16neon& y)
-{
-    return vbslq_u16(m.v, x.v, y.v);
-}
-KFR_INTRINSIC i32neon select(const mi32neon& m, const i32neon& x, const i32neon& y)
-{
-    return vbslq_s32(m.v, x.v, y.v);
-}
-KFR_INTRINSIC u32neon select(const mu32neon& m, const u32neon& x, const u32neon& y)
-{
-    return vbslq_u32(m.v, x.v, y.v);
-}
-KFR_INTRINSIC i64neon select(const mi64neon& m, const i64neon& x, const i64neon& y)
-{
-    return vbslq_s64(m.v, x.v, y.v);
-}
-KFR_INTRINSIC u64neon select(const mu64neon& m, const u64neon& x, const u64neon& y)
-{
-    return vbslq_u64(m.v, x.v, y.v);
-}
-
-#ifdef CMT_ARCH_NEON64
-KFR_INTRINSIC f64neon select(const mf64neon& m, const f64neon& x, const f64neon& y)
-{
-    return vbslq_f64(m.v, x.v, y.v);
-}
-#else
-KFR_INTRINSIC f64neon select(const mf64neon& m, const f64neon& x, const f64neon& y)
-{
-    return y ^ ((x ^ y) & m.asvec());
-}
-#endif
-
-template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
-{
-    constexpr size_t Nout = next_simd_width<T>(N);
-    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), c.shuffle(csizeseq<Nout>))
-        .shuffle(csizeseq<N>);
-}
-template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
-{
-    return concat2(select(a.h.low, b.h.low, c.h.low), select(a.h.high, b.h.high, c.h.high));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const T& y)
-{
-    return select(m, vec<T, N>(x), vec<T, N>(y));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const T& y)
-{
-    return select(m, x, vec<T, N>(y));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const vec<T, N>& y)
-{
-    return select(m, vec<T, N>(x), y);
-}
-
-#else
-
-// fallback
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const vec<T, N>& y)
-{
-    return y ^ ((x ^ y) & m.asvec());
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const T& y)
-{
-    return select(m, vec<T, N>(x), vec<T, N>(y));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const T& y)
-{
-    return select(m, x, vec<T, N>(y));
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const vec<T, N>& y)
-{
-    return select(m, vec<T, N>(x), y);
-}
-#endif
-template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> select(bool m, const T1& x, const T2& y)
-{
-    return m ? x : y;
-}
-
-} // namespace intrinsics
-KFR_I_FN(select)
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/impl/sin_cos.hpp b/include/kfr/math/impl/sin_cos.hpp
@@ -22,13 +22,13 @@
  */
 #pragma once
 
-#include "../../math/abs.hpp"
-#include "../../math/min_max.hpp"
-#include "../../math/round.hpp"
-#include "../../math/select.hpp"
+#include "../../simd/abs.hpp"
 #include "../../simd/constants.hpp"
 #include "../../simd/impl/function.hpp"
+#include "../../simd/min_max.hpp"
 #include "../../simd/operators.hpp"
+#include "../../simd/round.hpp"
+#include "../../simd/select.hpp"
 #include "../../simd/shuffle.hpp"
 
 #if CMT_HAS_WARNING("-Wc99-extensions")
@@ -62,7 +62,7 @@ KFR_INTRINSIC vec<T, N> trig_fold(const vec<T, N>& x, vec<itype<T>, N>& quadrant
     const vec<T, N> xabs = abs(x);
     constexpr T div      = constants<T>::fold_constant_div;
     vec<T, N> y          = floor(xabs / div);
-    quadrant             = innercast<itype<T>>(innercast<int>(y - floor(y * T(1.0 / 16.0)) * T(16.0)));
+    quadrant             = broadcastto<itype<T>>(broadcastto<int>(y - floor(y * T(1.0 / 16.0)) * T(16.0)));
 
     const mask<T, N> msk = (quadrant & 1) != 0;
     quadrant             = kfr::select(msk, quadrant + 1, quadrant);
diff --git a/include/kfr/math/impl/tan.hpp b/include/kfr/math/impl/tan.hpp
@@ -22,12 +22,12 @@
  */
 #pragma once
 
-#include "../../math/abs.hpp"
-#include "../../math/select.hpp"
-#include "../../math/sin_cos.hpp"
+#include "../../simd/abs.hpp"
 #include "../../simd/constants.hpp"
 #include "../../simd/impl/function.hpp"
 #include "../../simd/operators.hpp"
+#include "../../simd/select.hpp"
+#include "../sin_cos.hpp"
 
 namespace kfr
 {
@@ -46,7 +46,7 @@ KFR_INTRINSIC vec<T, N> trig_fold_simple(const vec<T, N>& x_full, mask<T, N>& in
     vec<T, N> scaled = y / pi_14;
 
     vec<T, N> k_real = floor(scaled);
-    vec<IT, N> k     = innercast<IT>(k_real);
+    vec<IT, N> k     = broadcastto<IT>(k_real);
 
     vec<T, N> x = y - k_real * pi_14;
 
@@ -143,6 +143,9 @@ KFR_INTRINSIC flt_type<T> tandeg(const T& x)
     return tan(x * c_degtorad<flt_type<T>>);
 }
 } // namespace intrinsics
+namespace fn
+{
+}
 KFR_I_FN(tan)
 KFR_I_FN(tandeg)
 } // namespace CMT_ARCH_NAME
diff --git a/include/kfr/math/interpolation.hpp b/include/kfr/math/interpolation.hpp
@@ -25,7 +25,7 @@
  */
 #pragma once
 
-#include "select.hpp"
+#include "../simd/select.hpp"
 #include "sin_cos.hpp"
 
 namespace kfr
diff --git a/include/kfr/math/log_exp.hpp b/include/kfr/math/log_exp.hpp
@@ -39,13 +39,6 @@ KFR_FUNCTION flt_type<T1> exp(const T1& x)
     return intrinsics::exp(x);
 }
 
-/// @brief Returns e raised to the given power x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::exp, E1> exp(E1&& x)
-{
-    return { fn::exp(), std::forward<E1>(x) };
-}
-
 /// @brief Returns 2 raised to the given power x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> exp2(const T1& x)
@@ -53,13 +46,6 @@ KFR_FUNCTION flt_type<T1> exp2(const T1& x)
     return intrinsics::exp2(x);
 }
 
-/// @brief Returns 2 raised to the given power x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::exp2, E1> exp2(E1&& x)
-{
-    return { fn::exp2(), std::forward<E1>(x) };
-}
-
 /// @brief Returns 10 raised to the given power x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> exp10(const T1& x)
@@ -67,13 +53,6 @@ KFR_FUNCTION flt_type<T1> exp10(const T1& x)
     return intrinsics::exp10(x);
 }
 
-/// @brief Returns 10 raised to the given power x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::exp10, E1> exp10(E1&& x)
-{
-    return { fn::exp10(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the natural logarithm of the x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> log(const T1& x)
@@ -81,13 +60,6 @@ KFR_FUNCTION flt_type<T1> log(const T1& x)
     return intrinsics::log(x);
 }
 
-/// @brief Returns the natural logarithm of the x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::log, E1> log(E1&& x)
-{
-    return { fn::log(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the binary (base-2) logarithm of the x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> log2(const T1& x)
@@ -95,13 +67,6 @@ KFR_FUNCTION flt_type<T1> log2(const T1& x)
     return intrinsics::log2(x);
 }
 
-/// @brief Returns the binary (base-2) logarithm of the x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::log2, E1> log2(E1&& x)
-{
-    return { fn::log2(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the common (base-10) logarithm of the x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> log10(const T1& x)
@@ -109,13 +74,6 @@ KFR_FUNCTION flt_type<T1> log10(const T1& x)
     return intrinsics::log10(x);
 }
 
-/// @brief Returns the common (base-10) logarithm of the x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::log10, E1> log10(E1&& x)
-{
-    return { fn::log10(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the rounded binary (base-2) logarithm of the x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> logb(const T1& x)
@@ -123,110 +81,53 @@ KFR_FUNCTION flt_type<T1> logb(const T1& x)
     return intrinsics::logb(x);
 }
 
-/// @brief Returns the rounded binary (base-2) logarithm of the x. Version that accepts and returns
-/// expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::logb, E1> logb(E1&& x)
-{
-    return { fn::logb(), std::forward<E1>(x) };
-}
-
 /// @brief Returns the logarithm of the x with base y.
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION flt_type<common_type<T1, T2>> logn(const T1& x, const T2& y)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2>> logn(const T1& x, const T2& y)
 {
     return intrinsics::logn(x, y);
 }
 
-/// @brief Returns the logarithm of the x with base y. Accepts and returns expressions.
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::logn, E1, E2> logn(E1&& x, E2&& y)
-{
-    return { fn::logn(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
 /// @brief Returns log(x) * y.
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION flt_type<common_type<T1, T2>> logm(const T1& x, const T2& y)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2>> logm(const T1& x, const T2& y)
 {
     return intrinsics::logm(x, y);
 }
 
-/// @brief Returns log(x) * y. Accepts and returns expressions.
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::logm, E1, E2> logm(E1&& x, E2&& y)
-{
-    return { fn::logm(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
 /// @brief Returns exp(x * m + a).
 template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>)>
-KFR_FUNCTION flt_type<common_type<T1, T2, T3>> exp_fmadd(const T1& x, const T2& y, const T3& z)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2, T3>> exp_fmadd(const T1& x, const T2& y, const T3& z)
 {
     return intrinsics::exp_fmadd(x, y, z);
 }
 
-/// @brief Returns exp(x * m + a). Accepts and returns expressions.
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_FUNCTION internal::expression_function<fn::exp_fmadd, E1, E2, E3> exp_fmadd(E1&& x, E2&& y, E3&& z)
-{
-    return { fn::exp_fmadd(), std::forward<E1>(x), std::forward<E2>(y), std::forward<E3>(z) };
-}
-
 /// @brief Returns log(x) * m + a.
 template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>)>
-KFR_FUNCTION flt_type<common_type<T1, T2, T3>> log_fmadd(const T1& x, const T2& y, const T3& z)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2, T3>> log_fmadd(const T1& x, const T2& y, const T3& z)
 {
     return intrinsics::log_fmadd(x, y, z);
 }
 
-/// @brief Returns log(x) * m + a. Accepts and returns expressions.
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_FUNCTION internal::expression_function<fn::log_fmadd, E1, E2, E3> log_fmadd(E1&& x, E2&& y, E3&& z)
-{
-    return { fn::log_fmadd(), std::forward<E1>(x), std::forward<E2>(y), std::forward<E3>(z) };
-}
-
 /// @brief Returns the x raised to the given power y.
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION flt_type<common_type<T1, T2>> pow(const T1& x, const T2& y)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2>> pow(const T1& x, const T2& y)
 {
     return intrinsics::pow(x, y);
 }
 
-/// @brief Returns the x raised to the given power y. Accepts and returns expressions.
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::pow, E1, E2> pow(E1&& x, E2&& y)
-{
-    return { fn::pow(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
 /// @brief Returns the real nth root of the x.
 template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
-KFR_FUNCTION flt_type<common_type<T1, T2>> root(const T1& x, const T2& y)
+KFR_FUNCTION flt_type<std::common_type_t<T1, T2>> root(const T1& x, const T2& y)
 {
     return intrinsics::root(x, y);
 }
 
-/// @brief Returns the real nth root of the x. Accepts and returns expressions.
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_FUNCTION internal::expression_function<fn::root, E1, E2> root(E1&& x, E2&& y)
-{
-    return { fn::root(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
 /// @brief Returns the cube root of the x.
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> cbrt(const T1& x)
 {
     return intrinsics::cbrt(x);
 }
-
-/// @brief Returns the cube root of the x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cbrt, E1> cbrt(E1&& x)
-{
-    return { fn::cbrt(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/min_max.hpp b/include/kfr/math/min_max.hpp
@@ -1,111 +0,0 @@
-/** @addtogroup basic_math
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/min_max.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/**
- * @brief Returns the smaller of two values.
- */
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout min(const T1& x, const T2& y)
-{
-    return intrinsics::min(x, y);
-}
-
-/**
- * @brief Returns the smaller of two values. Accepts and returns expressions.
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::min, E1, E2> min(E1&& x, E2&& y)
-{
-    return { fn::min(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
-/**
- * @brief Returns the greater of two values.
- */
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout max(const T1& x, const T2& y)
-{
-    return intrinsics::max(x, y);
-}
-
-/**
- * @brief Returns the greater of two values. Accepts and returns expressions.
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::max, E1, E2> max(E1&& x, E2&& y)
-{
-    return { fn::max(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
-/**
- * @brief Returns the smaller in magnitude of two values.
- */
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout absmin(const T1& x, const T2& y)
-{
-    return intrinsics::absmin(x, y);
-}
-
-/**
- * @brief Returns the smaller in magnitude of two values. Accepts and returns expressions.
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::absmin, E1, E2> absmin(E1&& x, E2&& y)
-{
-    return { fn::absmin(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
-/**
- * @brief Returns the greater in magnitude of two values.
- */
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout absmax(const T1& x, const T2& y)
-{
-    return intrinsics::absmax(x, y);
-}
-
-/**
- * @brief Returns the greater in magnitude of two values. Accepts and returns expressions.
- */
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::absmax, E1, E2> absmax(E1&& x, E2&& y)
-{
-    return { fn::absmax(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/modzerobessel.hpp b/include/kfr/math/modzerobessel.hpp
@@ -37,11 +37,5 @@ KFR_FUNCTION T1 modzerobessel(const T1& x)
 {
     return intrinsics::modzerobessel(x);
 }
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::modzerobessel, E1> modzerobessel(E1&& x)
-{
-    return { fn::modzerobessel(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/round.hpp b/include/kfr/math/round.hpp
@@ -1,163 +0,0 @@
-/** @addtogroup round
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/round.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/// @brief Returns the largest integer value not greater than x
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 floor(const T1& x)
-{
-    return intrinsics::floor(x);
-}
-
-/// @brief Returns the largest integer value not greater than x. Accepts and returns expressions.
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::floor, E1> floor(E1&& x)
-{
-    return { fn::floor(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 ceil(const T1& x)
-{
-    return intrinsics::ceil(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::ceil, E1> ceil(E1&& x)
-{
-    return { fn::ceil(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 round(const T1& x)
-{
-    return intrinsics::round(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::round, E1> round(E1&& x)
-{
-    return { fn::round(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 trunc(const T1& x)
-{
-    return intrinsics::trunc(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::trunc, E1> trunc(E1&& x)
-{
-    return { fn::trunc(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC T1 fract(const T1& x)
-{
-    return intrinsics::fract(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::fract, E1> fract(E1&& x)
-{
-    return { fn::fract(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC itype<T1> ifloor(const T1& x)
-{
-    return intrinsics::ifloor(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::ifloor, E1> ifloor(E1&& x)
-{
-    return { fn::ifloor(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC itype<T1> iceil(const T1& x)
-{
-    return intrinsics::iceil(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::iceil, E1> iceil(E1&& x)
-{
-    return { fn::iceil(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC itype<T1> iround(const T1& x)
-{
-    return intrinsics::iround(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::iround, E1> iround(E1&& x)
-{
-    return { fn::iround(), std::forward<E1>(x) };
-}
-
-template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
-KFR_INTRINSIC itype<T1> itrunc(const T1& x)
-{
-    return intrinsics::itrunc(x);
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::itrunc, E1> itrunc(E1&& x)
-{
-    return { fn::itrunc(), std::forward<E1>(x) };
-}
-
-template <typename T, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC T fmod(const T& x, const T& y)
-{
-    return x - trunc(x / y) * y;
-}
-KFR_FN(fmod)
-
-template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
-constexpr KFR_INTRINSIC vec<T, N> rem(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return x % y;
-}
-template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
-KFR_INTRINSIC vec<T, N> rem(const vec<T, N>& x, const vec<T, N>& y)
-{
-    return fmod(x, y);
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/saturation.hpp b/include/kfr/math/saturation.hpp
@@ -1,65 +0,0 @@
-/** @addtogroup saturation
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/saturation.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/// @brief Adds two arguments using saturation
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout satadd(const T1& x, const T2& y)
-{
-    return intrinsics::satadd(x, y);
-}
-
-/// @brief Creates an expression that adds two arguments using saturation
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::satadd, E1, E2> satadd(E1&& x, E2&& y)
-{
-    return { fn::satadd(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
-/// @brief Subtracts two arguments using saturation
-template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
-          typename Tout = common_type<T1, T2>>
-KFR_INTRINSIC Tout satsub(const T1& x, const T2& y)
-{
-    return intrinsics::satsub(x, y);
-}
-
-/// @brief Creates an expression that subtracts two arguments using saturation
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::satsub, E1, E2> satsub(E1&& x, E2&& y)
-{
-    return { fn::satsub(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/select.hpp b/include/kfr/math/select.hpp
@@ -1,59 +0,0 @@
-/** @addtogroup basic_math
- *  @{
- */
-/*
-  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
-  This file is part of KFR
-
-  KFR is free software: you can redistribute it and/or modify
-  it under the terms of the GNU General Public License as published by
-  the Free Software Foundation, either version 2 of the License, or
-  (at your option) any later version.
-
-  KFR is distributed in the hope that it will be useful,
-  but WITHOUT ANY WARRANTY; without even the implied warranty of
-  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-  GNU General Public License for more details.
-
-  You should have received a copy of the GNU General Public License
-  along with KFR.
-
-  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
-  Buying a commercial license is mandatory as soon as you develop commercial activities without
-  disclosing the source code of your own applications.
-  See https://www.kfrlib.com for details.
- */
-#pragma once
-
-#include "impl/select.hpp"
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-
-/**
- * @brief Returns x if m is true, otherwise return y. Order of the arguments is same as in ternary operator.
- * @code
- * return m ? x : y
- * @endcode
- */
-template <typename T1, size_t N, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>),
-          typename Tout = subtype<common_type<T2, T3>>>
-KFR_INTRINSIC vec<Tout, N> select(const mask<T1, N>& m, const T2& x, const T3& y)
-{
-    static_assert(sizeof(T1) == sizeof(Tout), "select: incompatible types");
-    return intrinsics::select(bitcast<Tout>(m.asvec()).asmask(), innercast<Tout>(x), innercast<Tout>(y));
-}
-
-/**
- * @brief Returns template expression that returns x if m is true, otherwise return y. Order of the arguments
- * is same as in ternary operator.
- */
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_INTRINSIC internal::expression_function<fn::select, E1, E2, E3> select(E1&& m, E2&& x, E3&& y)
-{
-    return { fn::select(), std::forward<E1>(m), std::forward<E2>(x), std::forward<E3>(y) };
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/include/kfr/math/sin_cos.hpp b/include/kfr/math/sin_cos.hpp
@@ -42,15 +42,6 @@ KFR_FUNCTION flt_type<T1> sin(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric sine of x. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sin, E1> sin(E1&& x)
-{
-    return { fn::sin(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric cosine of x.
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -60,15 +51,6 @@ KFR_FUNCTION flt_type<T1> cos(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric cosine of x. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cos, E1> cos(E1&& x)
-{
-    return { fn::cos(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns an approximation of the trigonometric sine of x.
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -78,15 +60,6 @@ KFR_FUNCTION flt_type<T1> fastsin(const T1& x)
 }
 
 /**
- * @brief Returns an approximation of the trigonometric sine of x. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::fastsin, E1> fastsin(E1&& x)
-{
-    return { fn::fastsin(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns an approximation of the trigonometric cosine of x.
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -96,15 +69,6 @@ KFR_FUNCTION flt_type<T1> fastcos(const T1& x)
 }
 
 /**
- * @brief Returns an approximation of the trigonometric cosine of x. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::fastcos, E1> fastcos(E1&& x)
-{
-    return { fn::fastcos(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric sine of the even elements of the x and cosine of the odd elements. x must
  * be a vector.
  */
@@ -115,16 +79,6 @@ KFR_FUNCTION flt_type<T1> sincos(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric sine of the even elements of the x and
- * cosine of the odd elements. x must be a vector. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sincos, E1> sincos(E1&& x)
-{
-    return { fn::sincos(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric cosine of the even elements of the x and sine of the odd elements. x must
  * be a vector.
  */
@@ -135,16 +89,6 @@ KFR_FUNCTION flt_type<T1> cossin(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric cosine of the even elements of the x and
- * sine of the odd elements. x must be a vector. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cossin, E1> cossin(E1&& x)
-{
-    return { fn::cossin(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric sine of the x (expressed in degrees).
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -154,15 +98,6 @@ KFR_FUNCTION flt_type<T1> sindeg(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric sine of the x (expressed in degrees). Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sindeg, E1> sindeg(E1&& x)
-{
-    return { fn::sindeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric cosine of the x (expressed in degrees).
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -172,15 +107,6 @@ KFR_FUNCTION flt_type<T1> cosdeg(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric cosine of the x (expressed in degrees). Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cosdeg, E1> cosdeg(E1&& x)
-{
-    return { fn::cosdeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns an approximation of the trigonometric sine of the x (expressed in degrees).
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -190,16 +116,6 @@ KFR_FUNCTION flt_type<T1> fastsindeg(const T1& x)
 }
 
 /**
- * @brief Returns an approximation of the trigonometric sine of the x
- * (expressed in degrees). Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::fastsindeg, E1> fastsindeg(E1&& x)
-{
-    return { fn::fastsindeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns an approximation of the trigonometric cosine of the x (expressed in degrees).
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -209,16 +125,6 @@ KFR_FUNCTION flt_type<T1> fastcosdeg(const T1& x)
 }
 
 /**
- * @brief Returns an approximation of the trigonometric cosine of the x
- * (expressed in degrees). Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::fastcosdeg, E1> fastcosdeg(E1&& x)
-{
-    return { fn::fastcosdeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric sine of the even elements of the x and cosine of the odd elements. x must
  * be a vector and expressed in degrees.
  */
@@ -229,16 +135,6 @@ KFR_FUNCTION flt_type<T1> sincosdeg(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric sine of the even elements of the x and
- * cosine of the odd elements. x must be expressed in degrees. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sincosdeg, E1> sincosdeg(E1&& x)
-{
-    return { fn::sincosdeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric cosine of the even elements of the x and sine of the odd elements. x must
  * be a vector and expressed in degrees.
  */
@@ -249,16 +145,6 @@ KFR_FUNCTION flt_type<T1> cossindeg(const T1& x)
 }
 
 /**
- * @brief Returns the trigonometric cosine of the even elements of the x and
- * sine of the odd elements. x must be expressed in degrees. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cossindeg, E1> cossindeg(E1&& x)
-{
-    return { fn::cossindeg(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the sinc function of x.
  * \f[
  * sinc(x) = \frac{sin(x)}{x}
@@ -271,15 +157,6 @@ KFR_FUNCTION flt_type<T1> sinc(const T1& x)
 }
 
 /**
- * @brief Returns the sinc function of x. Accepts and returns expressions.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::sinc, E1> sinc(E1&& x)
-{
-    return { fn::sinc(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns the trigonometric sine of the angle 2x using sin(x) and cos(x).
  */
 template <typename T>
diff --git a/include/kfr/math/sqrt.hpp b/include/kfr/math/sqrt.hpp
@@ -40,14 +40,5 @@ KFR_INTRINSIC flt_type<T1> sqrt(const T1& x)
 {
     return intrinsics::sqrt(x);
 }
-
-/**
- * @brief Returns template expression that returns the positive square root of the x. \f$\sqrt{x}\f$
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::sqrt, E1> sqrt(E1&& x)
-{
-    return { fn::sqrt(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/math/tan.hpp b/include/kfr/math/tan.hpp
@@ -38,22 +38,10 @@ KFR_FUNCTION flt_type<T1> tan(const T1& x)
     return intrinsics::tan(x);
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::tan, E1> tan(E1&& x)
-{
-    return { fn::tan(), std::forward<E1>(x) };
-}
-
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
 KFR_FUNCTION flt_type<T1> tandeg(const T1& x)
 {
     return intrinsics::tandeg(x);
 }
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::tandeg, E1> tandeg(E1&& x)
-{
-    return { fn::tandeg(), std::forward<E1>(x) };
-}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/simd.hpp b/include/kfr/simd.hpp
@@ -22,15 +22,24 @@
  */
 #pragma once
 
+#include "simd/abs.hpp"
+#include "simd/clamp.hpp"
 #include "simd/comparison.hpp"
 #include "simd/complex.hpp"
+#include "simd/complex_type.hpp"
 #include "simd/constants.hpp"
 #include "simd/digitreverse.hpp"
 #include "simd/horizontal.hpp"
+#include "simd/logical.hpp"
 #include "simd/mask.hpp"
+#include "simd/min_max.hpp"
 #include "simd/operators.hpp"
 #include "simd/platform.hpp"
 #include "simd/read_write.hpp"
+#include "simd/round.hpp"
+#include "simd/saturation.hpp"
+#include "simd/select.hpp"
 #include "simd/shuffle.hpp"
+#include "simd/sort.hpp"
 #include "simd/types.hpp"
 #include "simd/vec.hpp"
diff --git a/include/kfr/simd/abs.hpp b/include/kfr/simd/abs.hpp
@@ -0,0 +1,45 @@
+/** @addtogroup basic_math
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/abs.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/**
+ * @brief Returns the absolute value of x.
+ */
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 abs(const T1& x)
+{
+    return intrinsics::abs(x);
+}
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/include/kfr/simd/clamp.hpp b/include/kfr/simd/clamp.hpp
@@ -0,0 +1,51 @@
+/** @addtogroup basic_math
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/clamp.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/// @brief Returns the first argument clamped to a range [lo, hi]
+template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>),
+          typename Tout = std::common_type_t<T1, T2, T3>>
+KFR_INTRINSIC Tout clamp(const T1& x, const T2& lo, const T3& hi)
+{
+    return intrinsics::clamp(static_cast<Tout>(x), static_cast<Tout>(lo), static_cast<Tout>(hi));
+}
+
+/// @brief Returns the first argument clamped to a range [0, hi]
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout clamp(const T1& x, const T2& hi)
+{
+    return intrinsics::clamp(static_cast<Tout>(x), static_cast<Tout>(hi));
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/comparison.hpp b/include/kfr/simd/comparison.hpp
@@ -35,32 +35,32 @@ inline namespace CMT_ARCH_NAME
 {
 
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> equal(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> equal(const T1& x, const T2& y)
 {
     return x == y;
 }
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> notequal(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> notequal(const T1& x, const T2& y)
 {
     return x != y;
 }
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> less(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> less(const T1& x, const T2& y)
 {
     return x < y;
 }
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> greater(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> greater(const T1& x, const T2& y)
 {
     return x > y;
 }
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> lessorequal(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> lessorequal(const T1& x, const T2& y)
 {
     return x <= y;
 }
 template <typename T1, typename T2>
-inline maskfor<common_type<T1, T2>> greaterorequal(const T1& x, const T2& y)
+inline maskfor<std::common_type_t<T1, T2>> greaterorequal(const T1& x, const T2& y)
 {
     return x >= y;
 }
@@ -71,42 +71,6 @@ KFR_FN(greater)
 KFR_FN(lessorequal)
 KFR_FN(greaterorequal)
 
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::equal, E1, E2> operator==(E1&& e1, E2&& e2)
-{
-    return { fn::equal(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::notequal, E1, E2> operator!=(E1&& e1, E2&& e2)
-{
-    return { fn::notequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::less, E1, E2> operator<(E1&& e1, E2&& e2)
-{
-    return { fn::less(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::greater, E1, E2> operator>(E1&& e1, E2&& e2)
-{
-    return { fn::greater(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::lessorequal, E1, E2> operator<=(E1&& e1, E2&& e2)
-{
-    return { fn::lessorequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::greaterorequal, E1, E2> operator>=(E1&& e1, E2&& e2)
-{
-    return { fn::greaterorequal(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
 template <typename T, size_t N>
 KFR_INTRINSIC mask<T, N> isnan(const vec<T, N>& x)
 {
@@ -144,7 +108,7 @@ KFR_INTRINSIC mask<T, N> iszero(const vec<T, N>& x)
 }
 
 template <typename T1, typename T2, typename T3>
-KFR_INTRINSIC maskfor<common_type<T1, T2, T3>> inrange(const T1& x, const T2& min, const T3& max)
+KFR_INTRINSIC maskfor<std::common_type_t<T1, T2, T3>> inrange(const T1& x, const T2& min, const T3& max)
 {
     return x >= min && x <= max;
 }
diff --git a/include/kfr/simd/complex.hpp b/include/kfr/simd/complex.hpp
@@ -28,62 +28,11 @@
 #include "impl/function.hpp"
 #include "operators.hpp"
 
-#ifdef KFR_STD_COMPLEX
-#include <complex>
-#endif
-
 CMT_PRAGMA_MSVC(warning(push))
 CMT_PRAGMA_MSVC(warning(disable : 4814))
 
 namespace kfr
 {
-#ifdef KFR_STD_COMPLEX
-
-template <typename T>
-using complex = std::complex<T>;
-
-#else
-#ifndef KFR_CUSTOM_COMPLEX
-
-/**
- * @brief Represents the complex numbers. If KFR_STD_COMPLEX is defined, then kfr::complex is an alias for
- * std::complex.
- */
-template <typename T>
-struct complex
-{
-    static_assert(is_simd_type<T>, "Incorrect type for complex");
-    constexpr static bool is_pod     = true;
-    constexpr complex() CMT_NOEXCEPT = default;
-    KFR_MEM_INTRINSIC constexpr complex(T re) CMT_NOEXCEPT : re(re), im(0) {}
-    KFR_MEM_INTRINSIC constexpr complex(T re, T im) CMT_NOEXCEPT : re(re), im(im) {}
-    constexpr complex(const complex&) CMT_NOEXCEPT = default;
-    constexpr complex(complex&&) CMT_NOEXCEPT      = default;
-    template <typename U>
-    KFR_MEM_INTRINSIC constexpr complex(const complex<U>& other) CMT_NOEXCEPT : re(static_cast<T>(other.real())),
-                                                                                im(static_cast<T>(other.imag()))
-    {
-    }
-    template <typename U>
-    KFR_MEM_INTRINSIC constexpr complex(complex<U>&& other) CMT_NOEXCEPT : re(std::move(other.real())),
-                                                                           im(std::move(other.imag()))
-    {
-    }
-#ifdef CMT_COMPILER_GNU
-    constexpr complex& operator=(const complex&) CMT_NOEXCEPT = default;
-    constexpr complex& operator=(complex&&) CMT_NOEXCEPT = default;
-#else
-    complex& operator=(const complex&) = default;
-    complex& operator=(complex&&) = default;
-#endif
-    KFR_MEM_INTRINSIC constexpr const T& real() const CMT_NOEXCEPT { return re; }
-    KFR_MEM_INTRINSIC constexpr const T& imag() const CMT_NOEXCEPT { return im; }
-    KFR_MEM_INTRINSIC constexpr void real(T value) CMT_NOEXCEPT { re = value; }
-    KFR_MEM_INTRINSIC constexpr void imag(T value) CMT_NOEXCEPT { im = value; }
-private:
-    T re;
-    T im;
-};
 
 inline namespace CMT_ARCH_NAME
 {
@@ -108,44 +57,92 @@ KFR_INTRINSIC complex<T> operator/(const complex<T>& x, const complex<T>& y)
 {
     return (make_vector(x) / make_vector(y))[0];
 }
+template <typename T>
+KFR_INTRINSIC complex<T>& operator+=(complex<T>& x, const complex<T>& y)
+{
+    x = x + y;
+    return x;
+}
+template <typename T>
+KFR_INTRINSIC complex<T>& operator-=(complex<T>& x, const complex<T>& y)
+{
+    x = x - y;
+    return x;
+}
+template <typename T>
+KFR_INTRINSIC complex<T>& operator*=(complex<T>& x, const complex<T>& y)
+{
+    x = x * y;
+    return x;
+}
+template <typename T>
+KFR_INTRINSIC complex<T>& operator/=(complex<T>& x, const complex<T>& y)
+{
+    x = x / y;
+    return x;
+}
 
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator+(const complex<T>& x, const U& y)
 {
     return static_cast<C>(x) + static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator-(const complex<T>& x, const U& y)
 {
     return static_cast<C>(x) - static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator*(const complex<T>& x, const U& y)
 {
     return static_cast<C>(x) * static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator/(const complex<T>& x, const U& y)
 {
     return static_cast<C>(x) / static_cast<C>(y);
 }
+template <typename T, typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>)>
+KFR_INTRINSIC complex<T>& operator+=(complex<T>& x, const U& y)
+{
+    x = x + y;
+    return x;
+}
+template <typename T, typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>)>
+KFR_INTRINSIC complex<T>& operator-=(complex<T>& x, const U& y)
+{
+    x = x - y;
+    return x;
+}
+template <typename T, typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>)>
+KFR_INTRINSIC complex<T>& operator*=(complex<T>& x, const U& y)
+{
+    x = x * y;
+    return x;
+}
+template <typename T, typename U, KFR_ENABLE_IF(std::is_convertible_v<U, T>)>
+KFR_INTRINSIC complex<T>& operator/=(complex<T>& x, const U& y)
+{
+    x = x / y;
+    return x;
+}
 
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator+(const U& x, const complex<T>& y)
 {
     return static_cast<C>(x) + static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator-(const U& x, const complex<T>& y)
 {
     return static_cast<C>(x) - static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator*(const U& x, const complex<T>& y)
 {
     return static_cast<C>(x) * static_cast<C>(y);
 }
-template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = common_type<complex<T>, U>>
+template <typename T, typename U, KFR_ENABLE_IF(is_number<U>), typename C = std::common_type_t<complex<T>, U>>
 KFR_INTRINSIC C operator/(const U& x, const complex<T>& y)
 {
     return static_cast<C>(x) / static_cast<C>(y);
@@ -162,8 +159,6 @@ KFR_INTRINSIC complex<T> operator+(const complex<T>& x)
 }
 
 } // namespace CMT_ARCH_NAME
-#endif
-#endif
 } // namespace kfr
 namespace cometa
 {
@@ -217,7 +212,7 @@ constexpr inline vec<T, 2> vcomplex(const complex<T>& v)
 template <typename T>
 constexpr inline simd<T, 2> vvcomplex(const complex<T>& v)
 {
-    return intrinsics::simd_make(ctype<T>, v.real(), v.imag());
+    return intrinsics::simd_make(cometa::ctype<T>, v.real(), v.imag());
 }
 } // namespace intrinsics
 
@@ -328,11 +323,11 @@ struct is_complex_impl<complex<T>> : std::true_type
 };
 
 // vector<complex> to vector<complex>
-template <typename To, typename From, size_t N>
-struct conversion<vec<complex<To>, N>, vec<complex<From>, N>>
+template <typename To, typename From, size_t N, conv_t conv>
+struct conversion<1, 1, vec<complex<To>, N>, vec<complex<From>, N>, conv>
 {
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
     static vec<complex<To>, N> cast(const vec<complex<From>, N>& value)
     {
         return vec<To, N * 2>(value.flatten()).v;
@@ -340,11 +335,11 @@ struct conversion<vec<complex<To>, N>, vec<complex<From>, N>>
 };
 
 // vector to vector<complex>
-template <typename To, typename From, size_t N>
-struct conversion<vec<complex<To>, N>, vec<From, N>>
+template <typename To, typename From, size_t N, conv_t conv>
+struct conversion<1, 1, vec<complex<To>, N>, vec<From, N>, conv>
 {
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
     static vec<complex<To>, N> cast(const vec<From, N>& value)
     {
         const vec<To, N> casted = static_cast<vec<To, N>>(value);
@@ -382,13 +377,6 @@ using realftype = ftype<decltype(kfr::real(std::declval<T>()))>;
 
 KFR_FN(real)
 
-/// @brief Returns the real part of the complex value
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::real, E1> real(E1&& x)
-{
-    return { fn::real{}, std::forward<E1>(x) };
-}
-
 /// @brief Returns the imaginary part of the complex value
 template <typename T>
 constexpr KFR_INTRINSIC T imag(const complex<T>& value)
@@ -404,37 +392,23 @@ constexpr KFR_INTRINSIC vec<T, N> imag(const vec<complex<T>, N>& value)
 }
 KFR_FN(imag)
 
-/// @brief Returns the imaginary part of the complex value
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::imag, E1> imag(E1&& x)
-{
-    return { fn::imag{}, std::forward<E1>(x) };
-}
-
 /// @brief Constructs complex value from real and imaginary parts
-template <typename T1, typename T2 = T1, size_t N, typename T = common_type<T1, T2>>
+template <typename T1, typename T2 = T1, size_t N, typename T = std::common_type_t<T1, T2>>
 constexpr KFR_INTRINSIC vec<complex<T>, N> make_complex(const vec<T1, N>& real,
                                                         const vec<T2, N>& imag = T2(0))
 {
-    return ccomp(interleave(innercast<T>(real), innercast<T>(imag)));
+    return ccomp(interleave(promoteto<T>(real), promoteto<T>(imag)));
 }
 
 /// @brief Constructs complex value from real and imaginary parts
-template <typename T1, typename T2 = T1, typename T = common_type<T1, T2>,
+template <typename T1, typename T2 = T1, typename T = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(is_numeric_args<T1, T2>)>
 constexpr KFR_INTRINSIC complex<T> make_complex(T1 real, T2 imag = T2(0))
 {
-    return complex<T>(innercast<T>(real), innercast<T>(imag));
+    return complex<T>(promoteto<T>(real), promoteto<T>(imag));
 }
 KFR_FN(make_complex)
 
-/// @brief Constructs complex value from real and imaginary parts
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::make_complex, E1, E2> make_complex(E1&& re, E2&& im)
-{
-    return { fn::make_complex{}, std::forward<E1>(re), std::forward<E2>(im) };
-}
-
 namespace intrinsics
 {
 template <typename T, size_t N>
@@ -454,13 +428,6 @@ KFR_INTRINSIC T1 cconj(const T1& x)
     return intrinsics::cconj(x);
 }
 
-/// @brief Returns template expression that returns the complex conjugate of the complex number x
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_FUNCTION internal::expression_function<fn::cconj, E1> cconj(E1&& x)
-{
-    return { fn::cconj(), std::forward<E1>(x) };
-}
-
 template <size_t N>
 struct vec_of_complex
 {
@@ -468,44 +435,34 @@ struct vec_of_complex
     using type = vec<complex<T>, N>;
 };
 } // namespace CMT_ARCH_NAME
+} // namespace kfr
 
-template <typename T1, typename T2>
-struct common_type_impl<kfr::complex<T1>, kfr::complex<T2>> : common_type_from_subtypes<T1, T2, kfr::complex>
+namespace std
 {
-};
+
 template <typename T1, typename T2>
-struct common_type_impl<kfr::complex<T1>, T2> : common_type_from_subtypes<T1, T2, kfr::complex>
+struct common_type<kfr::complex<T1>, kfr::complex<T2>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::complex>
 {
 };
 template <typename T1, typename T2>
-struct common_type_impl<T1, kfr::complex<T2>> : common_type_from_subtypes<T1, T2, kfr::complex>
+struct common_type<kfr::complex<T1>, T2> : kfr::construct_common_type<std::common_type<T1, T2>, kfr::complex>
 {
 };
-template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::complex<T1>, kfr::vec<kfr::complex<T2>, N>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_of_complex<N>::template type>
-{
-};
-template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::vec<kfr::complex<T1>, N>, kfr::vec<kfr::complex<T2>, N>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_of_complex<N>::template type>
-{
-};
-template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::vec<kfr::complex<T1>, N>, kfr::complex<T2>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_of_complex<N>::template type>
+template <typename T1, typename T2>
+struct common_type<T1, kfr::complex<T2>> : kfr::construct_common_type<std::common_type<T1, T2>, kfr::complex>
 {
 };
 template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::complex<T1>, kfr::vec<T2, N>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_of_complex<N>::template type>
+struct common_type<kfr::complex<T1>, kfr::vec<T2, N>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vec_of_complex<N>::template type>
 {
 };
 template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::vec<T1, N>, kfr::complex<T2>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_of_complex<N>::template type>
+struct common_type<kfr::vec<T1, N>, kfr::complex<T2>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vec_of_complex<N>::template type>
 {
 };
-} // namespace kfr
+} // namespace std
 
 CMT_PRAGMA_MSVC(warning(pop))
diff --git a/include/kfr/simd/complex_type.hpp b/include/kfr/simd/complex_type.hpp
@@ -0,0 +1,122 @@
+/** @addtogroup complex
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../cometa/string.hpp"
+#include "constants.hpp"
+
+#ifdef KFR_STD_COMPLEX
+#include <complex>
+#endif
+
+namespace kfr
+{
+#ifdef KFR_STD_COMPLEX
+
+template <typename T>
+using complex = std::complex<T>;
+
+#else
+#ifndef KFR_CUSTOM_COMPLEX
+
+/**
+ * @brief Represents the complex numbers. If KFR_STD_COMPLEX is defined, then kfr::complex is an alias for
+ * std::complex.
+ */
+template <typename T>
+struct complex
+{
+    static_assert(is_simd_type<T>, "Incorrect type for complex");
+    constexpr static bool is_pod_like = true;
+    constexpr complex() CMT_NOEXCEPT  = default;
+    KFR_MEM_INTRINSIC constexpr complex(T re) CMT_NOEXCEPT : re(re), im(0) {}
+    KFR_MEM_INTRINSIC constexpr complex(T re, T im) CMT_NOEXCEPT : re(re), im(im) {}
+    constexpr complex(const complex&) CMT_NOEXCEPT = default;
+    constexpr complex(complex&&) CMT_NOEXCEPT      = default;
+    template <typename U>
+    KFR_MEM_INTRINSIC constexpr complex(const complex<U>& other) CMT_NOEXCEPT
+        : re(static_cast<T>(other.real())),
+          im(static_cast<T>(other.imag()))
+    {
+    }
+    template <typename U>
+    KFR_MEM_INTRINSIC constexpr complex(complex<U>&& other) CMT_NOEXCEPT : re(std::move(other.real())),
+                                                                           im(std::move(other.imag()))
+    {
+    }
+#ifdef CMT_COMPILER_GNU
+    constexpr complex& operator=(const complex&) CMT_NOEXCEPT = default;
+    constexpr complex& operator=(complex&&) CMT_NOEXCEPT = default;
+#else
+    complex& operator=(const complex&) = default;
+    complex& operator=(complex&&) = default;
+#endif
+    KFR_MEM_INTRINSIC constexpr const T& real() const CMT_NOEXCEPT { return re; }
+    KFR_MEM_INTRINSIC constexpr const T& imag() const CMT_NOEXCEPT { return im; }
+    KFR_MEM_INTRINSIC constexpr void real(T value) CMT_NOEXCEPT { re = value; }
+    KFR_MEM_INTRINSIC constexpr void imag(T value) CMT_NOEXCEPT { im = value; }
+
+    KFR_MEM_INTRINSIC constexpr bool operator==(const complex& other) const CMT_NOEXCEPT
+    {
+        return re == other.re && im == other.im;
+    }
+    KFR_MEM_INTRINSIC constexpr bool operator!=(const complex& other) const CMT_NOEXCEPT
+    {
+        return !operator==(other);
+    }
+
+private:
+    T re;
+    T im;
+};
+#endif
+#endif
+
+} // namespace kfr
+
+namespace cometa
+{
+template <typename T>
+struct representation<kfr::complex<T>>
+{
+    using type = std::string;
+    static std::string get(const kfr::complex<T>& value)
+    {
+        return as_string(value.real()) + " + " + as_string(value.imag()) + "j";
+    }
+};
+
+template <char t, int width, int prec, typename T>
+struct representation<fmt_t<kfr::complex<T>, t, width, prec>>
+{
+    using type = std::string;
+    static std::string get(const fmt_t<kfr::complex<T>, t, width, prec>& value)
+    {
+        return as_string(fmt<t, width, prec>(value.value.real())) + " + " +
+               as_string(fmt<t, width, prec>(value.value.imag())) + "j";
+    }
+};
+} // namespace cometa
diff --git a/include/kfr/simd/impl/abs.hpp b/include/kfr/simd/impl/abs.hpp
@@ -0,0 +1,138 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../operators.hpp"
+#include "../select.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+#if defined CMT_ARCH_SSSE3 && defined KFR_NATIVE_INTRINSICS
+
+// floating point
+template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
+{
+    return x & special_constants<T>::invhighbitmask();
+}
+
+KFR_INTRINSIC i64sse abs(const i64sse& x) CMT_NOEXCEPT
+{
+    const __m128i sh  = _mm_srai_epi32(x.v, 31);
+    const __m128i msk = _mm_shuffle_epi32(sh, _MM_SHUFFLE(3, 3, 1, 1));
+    return _mm_sub_epi64(_mm_xor_si128(x.v, msk), msk);
+}
+KFR_INTRINSIC i32sse abs(const i32sse& x) CMT_NOEXCEPT { return _mm_abs_epi32(x.v); }
+KFR_INTRINSIC i16sse abs(const i16sse& x) CMT_NOEXCEPT { return _mm_abs_epi16(x.v); }
+KFR_INTRINSIC i8sse abs(const i8sse& x) CMT_NOEXCEPT { return _mm_abs_epi8(x.v); }
+KFR_INTRINSIC u64sse abs(const u64sse& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u32sse abs(const u32sse& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u16sse abs(const u16sse& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u8sse abs(const u8sse& x) CMT_NOEXCEPT { return x; }
+
+#if defined CMT_ARCH_AVX2
+KFR_INTRINSIC i64avx abs(const i64avx& x) CMT_NOEXCEPT
+{
+    const __m256i sh  = _mm256_srai_epi32(x.v, 31);
+    const __m256i msk = _mm256_shuffle_epi32(sh, _MM_SHUFFLE(3, 3, 1, 1));
+    return _mm256_sub_epi64(_mm256_xor_si256(x.v, msk), msk);
+}
+KFR_INTRINSIC i32avx abs(const i32avx& x) CMT_NOEXCEPT { return _mm256_abs_epi32(x.v); }
+KFR_INTRINSIC i16avx abs(const i16avx& x) CMT_NOEXCEPT { return _mm256_abs_epi16(x.v); }
+KFR_INTRINSIC i8avx abs(const i8avx& x) CMT_NOEXCEPT { return _mm256_abs_epi8(x.v); }
+KFR_INTRINSIC u64avx abs(const u64avx& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u32avx abs(const u32avx& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u16avx abs(const u16avx& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u8avx abs(const u8avx& x) CMT_NOEXCEPT { return x; }
+#endif
+
+#if defined CMT_ARCH_AVX512
+KFR_INTRINSIC i64avx512 abs(const i64avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi64(x.v); }
+KFR_INTRINSIC i32avx512 abs(const i32avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi32(x.v); }
+KFR_INTRINSIC i16avx512 abs(const i16avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi16(x.v); }
+KFR_INTRINSIC i8avx512 abs(const i8avx512& x) CMT_NOEXCEPT { return _mm512_abs_epi8(x.v); }
+KFR_INTRINSIC u64avx512 abs(const u64avx512& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u32avx512 abs(const u32avx512& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u16avx512 abs(const u16avx512& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u8avx512 abs(const u8avx512& x) CMT_NOEXCEPT { return x; }
+#endif
+
+KFR_HANDLE_ALL_SIZES_1_IF(abs, !is_f_class<T>)
+
+#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC i8neon abs(const i8neon& x) CMT_NOEXCEPT { return vabsq_s8(x.v); }
+KFR_INTRINSIC i16neon abs(const i16neon& x) CMT_NOEXCEPT { return vabsq_s16(x.v); }
+KFR_INTRINSIC i32neon abs(const i32neon& x) CMT_NOEXCEPT { return vabsq_s32(x.v); }
+#if defined CMT_ARCH_NEON64
+KFR_INTRINSIC i64neon abs(const i64neon& x) CMT_NOEXCEPT { return vabsq_s64(x.v); }
+#else
+KFR_INTRINSIC i64neon abs(const i64neon& x) CMT_NOEXCEPT { return select(x >= 0, x, -x); }
+#endif
+
+KFR_INTRINSIC u8neon abs(const u8neon& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u16neon abs(const u16neon& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u32neon abs(const u32neon& x) CMT_NOEXCEPT { return x; }
+KFR_INTRINSIC u64neon abs(const u64neon& x) CMT_NOEXCEPT { return x; }
+
+KFR_INTRINSIC f32neon abs(const f32neon& x) CMT_NOEXCEPT { return vabsq_f32(x.v); }
+#if defined CMT_ARCH_NEON64
+KFR_INTRINSIC f64neon abs(const f64neon& x) CMT_NOEXCEPT { return vabsq_f64(x.v); }
+#else
+KFR_INTRINSIC f64neon abs(const f64neon& x) CMT_NOEXCEPT
+{
+    return x & special_constants<f64>::invhighbitmask();
+}
+#endif
+
+KFR_HANDLE_ALL_SIZES_1(abs)
+
+#else
+
+// floating point
+template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
+{
+    return x & special_constants<T>::invhighbitmask();
+}
+
+// fallback
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> abs(const vec<T, N>& x) CMT_NOEXCEPT
+{
+    return select(x >= T(0), x, -x);
+}
+#endif
+KFR_HANDLE_SCALAR(abs)
+} // namespace intrinsics
+
+KFR_I_FN(abs)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/backend_clang.hpp b/include/kfr/simd/impl/backend_clang.hpp
@@ -60,7 +60,7 @@ KFR_INTRINSIC simd<Tout, N> simd_make(ctype_t<Tout>, const Args&... args)
     return (simd<Tout, N>){ static_cast<unwrap_bit<Tout>>(args)... };
 }
 
-/// @brief Returns vector with undefined value
+// @brief Returns vector with undefined value
 template <typename Tout, size_t N>
 KFR_INTRINSIC simd<Tout, N> simd_undefined()
 {
@@ -68,21 +68,21 @@ KFR_INTRINSIC simd<Tout, N> simd_undefined()
     return x;
 }
 
-/// @brief Returns vector with all zeros
+// @brief Returns vector with all zeros
 template <typename Tout, size_t N>
 KFR_INTRINSIC simd<Tout, N> simd_zeros()
 {
     return Tout();
 }
 
-/// @brief Returns vector with all ones
+// @brief Returns vector with all ones
 template <typename Tout, size_t N>
 KFR_INTRINSIC simd<Tout, N> simd_allones()
 {
     return special_constants<Tout>::allones();
 }
 
-/// @brief Converts input vector to vector with subtype Tout
+// @brief Converts input vector to vector with subtype Tout
 template <typename Tout, typename Tin, size_t N, size_t Nout = (sizeof(Tin) * N / sizeof(Tout))>
 KFR_INTRINSIC simd<Tout, Nout> simd_bitcast(simd_cvt_t<Tout, Tin, N>, const simd<Tin, N>& x)
 {
@@ -135,11 +135,13 @@ KFR_INTRINSIC simd<T, Nout> simd_shuffle(simd2_t<T, N1, N2>, const simd<T, N1>& 
                                          csizes_t<indices...>, overload_generic)
 {
     constexpr size_t Nmax = (N1 > N2 ? N1 : N2);
-    return simd_shuffle(
-        simd2_t<T, Nmax, Nmax>{}, simd_shuffle(simd_t<T, N1>{}, x, csizeseq<Nmax>, overload_auto),
-        simd_shuffle(simd_t<T, N2>{}, y, csizeseq<Nmax>, overload_auto),
-        csizes<(indices < N1 ? indices : indices < N1 + N2 ? indices + (Nmax - N1) : index_undefined)...>,
-        overload_auto);
+    return simd_shuffle(simd2_t<T, Nmax, Nmax>{},
+                        simd_shuffle(simd_t<T, N1>{}, x, csizeseq<Nmax>, overload_auto),
+                        simd_shuffle(simd_t<T, N2>{}, y, csizeseq<Nmax>, overload_auto),
+                        csizes<(indices < N1        ? indices
+                                : indices < N1 + N2 ? indices + (Nmax - N1)
+                                                    : index_undefined)...>,
+                        overload_auto);
 }
 
 template <typename T, size_t N1>
@@ -156,14 +158,14 @@ KFR_INTRINSIC simd<T, N1 + N2 + Nscount> simd_concat(const simd<T, N1>& x, const
                         csizeseq<N1 + N2 + Nscount>, overload_auto);
 }
 
-/// @brief Converts input vector to vector with subtype Tout
+// @brief Converts input vector to vector with subtype Tout
 template <typename Tout, typename Tin, size_t N>
 KFR_INTRINSIC simd<Tout, N> simd_convert(simd_cvt_t<Tout, Tin, N>, const simd<Tin, N>& x)
 {
     return __builtin_convertvector(x, simd<Tout, N>);
 }
 
-/// @brief Converts input vector to vector with subtype Tout
+// @brief Converts input vector to vector with subtype Tout
 template <typename T, size_t N>
 KFR_INTRINSIC simd<T, N> simd_convert(simd_cvt_t<T, T, N>, const simd<T, N>& x)
 {
diff --git a/include/kfr/simd/impl/backend_generic.hpp b/include/kfr/simd/impl/backend_generic.hpp
@@ -22,6 +22,8 @@
  */
 #pragma once
 
+#ifndef CMT_CLANG_EXT
+
 #include "simd.hpp"
 
 CMT_PRAGMA_GNU(GCC diagnostic push)
@@ -71,10 +73,7 @@ struct shuffle_mask<2, i0, i1>
 #if KFR_SHOW_NOT_OPTIMIZED
 CMT_PUBLIC_C CMT_DLL_EXPORT void not_optimized(const char* fn) CMT_NOEXCEPT;
 #else
-#define not_optimized(...)                                                                                   \
-    do                                                                                                       \
-    {                                                                                                        \
-    } while (0)
+#define not_optimized(...) CMT_NOOP
 #endif
 
 inline namespace CMT_ARCH_NAME
@@ -97,7 +96,7 @@ struct simd_small_array
     constexpr static size_t size = N;
     using packed_type            = U;
 
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
     KFR_INTRINSIC constexpr simd_small_array() CMT_NOEXCEPT = default;
 #else
     KFR_INTRINSIC simd_small_array() CMT_NOEXCEPT {}
@@ -123,13 +122,13 @@ struct simd_small_array<f32, 2, f64>
     constexpr static size_t size = 2;
     using packed_type            = f64;
 
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
     KFR_MEM_INTRINSIC constexpr simd_small_array() CMT_NOEXCEPT = default;
 #else
     KFR_MEM_INTRINSIC simd_small_array() CMT_NOEXCEPT {}
 #endif
 
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
     // MSVC Internal Compiler Error workaround
     KFR_MEM_INTRINSIC constexpr simd_small_array(const simd_small_array& v) CMT_NOEXCEPT : whole(v.whole) {}
     KFR_MEM_INTRINSIC constexpr simd_small_array(simd_small_array&& v) CMT_NOEXCEPT : whole(v.whole) {}
@@ -149,7 +148,7 @@ struct simd_small_array<f32, 2, f64>
 
     KFR_MEM_INTRINSIC simd_small_array(f32 x, f32 y) CMT_NOEXCEPT
     {
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
 #ifdef CMT_ARCH_SSE2
         // whole = _mm_cvtsd_f64(_mm_castps_pd(_mm_setr_ps(x, y, x, y)));
         whole = _mm_cvtsd_f64(_mm_castps_pd(_mm_unpacklo_ps(_mm_set_ss(x), _mm_set_ss(y))));
@@ -292,7 +291,7 @@ KFR_SIMD_TYPE(f64, 2, float64x2_t);
 #endif // CMT_ARCH_NEON64
 #endif // CMT_ARCH_NEON
 
-#if defined CMT_COMPILER_MSVC
+#if defined CMT_COMPILER_IS_MSVC
 #define KFR_i8sse_INDEX(x, i) x.m128i_i8[i]
 #define KFR_i16sse_INDEX(x, i) x.m128i_i16[i]
 #define KFR_i32sse_INDEX(x, i) x.m128i_i32[i]
@@ -455,13 +454,14 @@ KFR_INTRINSIC __m128 KFR_swap_ps(__m128 x) { return _mm_shuffle_ps(x, x, _MM_SHU
 
 #ifndef KFR_f32x2_array
 // KFR_INTRIN_SHUFFLE_CONCAT(f32, 2, _mm_castpd_ps(_mm_setr_pd(x.whole, y.whole)))
-KFR_INTRIN_SHUFFLE_SWAP(f32, 2, _mm_cvtsd_f64(_mm_castps_pd(KFR_swap_ps(_mm_castpd_ps(_mm_set1_pd(x.whole))))))
+KFR_INTRIN_SHUFFLE_SWAP(f32, 2,
+                        _mm_cvtsd_f64(_mm_castps_pd(KFR_swap_ps(_mm_castpd_ps(_mm_set1_pd(x.whole))))))
 #else
 KFR_INTRIN_SHUFFLE_CONCAT(f32, 2, _mm_setr_ps(x.low, x.high, y.low, y.high))
 KFR_INTRIN_SHUFFLE_SWAP(f32, 2, simd<f32, 2>(x.high, x.low))
 #endif
 
-#if defined CMT_COMPILER_MSVC && !defined CMT_COMPILER_CLANG && defined CMT_ARCH_X32
+#if defined CMT_COMPILER_IS_MSVC && defined CMT_ARCH_X32
 KFR_INTRINSIC __m128i _mm_cvtsi64_si128(int64_t u)
 {
     __m128i r      = _mm_setzero_si128();
@@ -583,7 +583,13 @@ KFR_INTRIN_SHUFFLE_LINEAR_START(f32, 2, 4, 2,
 KFR_INTRIN_CONVERT(f32, i32, 4, _mm_cvtepi32_ps(x))
 KFR_INTRIN_CONVERT(i32, f32, 4, _mm_cvttps_epi32(x))
 KFR_INTRIN_CONVERT(i32, f64, 2, simd<i32, 2>::from(_mm_cvtsi128_si64(_mm_cvttpd_epi32(x))))
+#ifdef CMT_COMPILER_IS_MSVC
+KFR_INTRIN_CONVERT(f64, i32, 2,
+                   _mm_cvtepi32_pd(_mm_setr_epi32(bitcast_anything<simd_array<i32, 2>>(x).val[0],
+                                                  bitcast_anything<simd_array<i32, 2>>(x).val[1], 0, 0)))
+#else
 KFR_INTRIN_CONVERT(f64, i32, 2, _mm_cvtepi32_pd(KFR_mm_setr_epi64x(x.whole, 0)))
+#endif
 KFR_INTRIN_CONVERT(i64, f64, 2,
                    KFR_mm_setr_epi64x(_mm_cvttsd_si64(x), _mm_cvttsd_si64(_mm_unpackhi_pd(x, x))))
 KFR_INTRIN_CONVERT(f64, i64, 2,
@@ -1060,7 +1066,7 @@ KFR_INTRINSIC simd_array<T, N> to_simd_array(const simd<T, N>& x) CMT_NOEXCEPT
     return bitcast_anything<simd_array<T, N>>(x);
 }
 
-#if defined CMT_COMPILER_MSVC
+#if defined CMT_COMPILER_IS_MSVC
 
 template <typename T, size_t N, KFR_ENABLE_IF(!is_simd_small_array<simd<T, N>>)>
 KFR_INTRINSIC simd<T, N> from_simd_array(const simd_array<T, N>& x) CMT_NOEXCEPT
@@ -1088,22 +1094,6 @@ KFR_INTRINSIC simd<T, N> from_simd_array(const simd_array<T, N>& x) CMT_NOEXCEPT
 
 #endif
 
-#define KFR_COMPONENTWISE_RET(code)                                                                          \
-    vec<T, N> result;                                                                                        \
-    for (size_t i = 0; i < N; i++)                                                                           \
-        code;                                                                                                \
-    return result;
-
-#define KFR_COMPONENTWISE_RET_I(Tvec, code)                                                                  \
-    Tvec result;                                                                                             \
-    for (size_t i = 0; i < result.size(); i++)                                                               \
-        code;                                                                                                \
-    return result;
-
-#define KFR_COMPONENTWISE(code)                                                                              \
-    for (size_t i = 0; i < N; i++)                                                                           \
-        code;
-
 template <typename Tout>
 KFR_INTRINSIC void simd_make(ctype_t<Tout>) CMT_NOEXCEPT = delete;
 
@@ -1128,7 +1118,7 @@ template <typename T, size_t... indices, typename... Args, size_t N>
 KFR_INTRINSIC simd<T, N> simd_make_helper(csizes_t<indices...>, const Args&... args) CMT_NOEXCEPT
 {
     const T temp[] = { static_cast<T>(args)... };
-    return simd_make(ctype<T>, temp[indices]...);
+    return simd_make(cometa::ctype<T>, temp[indices]...);
 }
 
 /// @brief Returns vector with undefined value
@@ -1160,9 +1150,9 @@ KFR_INTRINSIC simd<Tout, N> simd_allones() CMT_NOEXCEPT
 
 /// @brief Converts input vector to vector with subtype Tout
 template <typename Tout, typename Tin, size_t N, size_t Nout = (sizeof(Tin) * N / sizeof(Tout))
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
                                                      ,
-          KFR_ENABLE_IF((Nout == 1 || N == 1) && !is_same<Tout, Tin>)
+          KFR_ENABLE_IF((Nout == 1 || N == 1) && !std::is_same_v<Tout, Tin>)
 #else
                                                      ,
           KFR_ENABLE_IF(Nout == 1 || N == 1)
@@ -1176,9 +1166,9 @@ KFR_INTRINSIC simd<Tout, Nout> simd_bitcast(simd_cvt_t<Tout, Tin, N>, const simd
 
 /// @brief Converts input vector to vector with subtype Tout
 template <typename Tout, typename Tin, size_t N, size_t Nout = (sizeof(Tin) * N / sizeof(Tout))
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
                                                      ,
-          KFR_ENABLE_IF(Nout > 1 && N > 1 && !is_same<Tout, Tin>)
+          KFR_ENABLE_IF(Nout > 1 && N > 1 && !std::is_same_v<Tout, Tin>)
 #else
                                                      ,
           KFR_ENABLE_IF(Nout > 1 && N > 1)
@@ -1238,7 +1228,8 @@ KFR_INTRINSIC const simd<T, N2>& simd_shuffle(simd2_t<T, N1, N2>, const simd<T, 
 
 // concat()
 template <typename T, size_t N,
-          KFR_ENABLE_IF(is_poweroftwo(N) && is_same<simd<T, N + N>, simd_halves<unwrap_bit<T>, N + N>>)>
+          KFR_ENABLE_IF(is_poweroftwo(N) &&
+                        std::is_same_v<simd<T, N + N>, simd_halves<unwrap_bit<T>, N + N>>)>
 KFR_INTRINSIC simd<T, N + N> simd_shuffle(simd2_t<T, N, N>, const simd<T, N>& x, const simd<T, N>& y,
                                           csizeseq_t<N + N>, overload_priority<8>) CMT_NOEXCEPT
 {
@@ -1259,7 +1250,7 @@ KFR_INTRINSIC simd<T, N> simd_broadcast(simd_t<T, N>, identity<T> value) CMT_NOE
 }
 
 template <typename T, size_t N,
-          KFR_ENABLE_IF(is_poweroftwo(N) && is_same<simd<T, N>, simd_halves<unwrap_bit<T>, N>>)>
+          KFR_ENABLE_IF(is_poweroftwo(N) && std::is_same_v<simd<T, N>, simd_halves<unwrap_bit<T>, N>>)>
 KFR_INTRINSIC simd<T, N / 2> simd_shuffle(simd_t<T, N>, const simd<T, N>& x, csizeseq_t<N / 2>,
                                           overload_priority<7>) CMT_NOEXCEPT
 {
@@ -1267,7 +1258,7 @@ KFR_INTRINSIC simd<T, N / 2> simd_shuffle(simd_t<T, N>, const simd<T, N>& x, csi
 }
 
 template <typename T, size_t N,
-          KFR_ENABLE_IF(is_poweroftwo(N) && is_same<simd<T, N>, simd_halves<unwrap_bit<T>, N>>)>
+          KFR_ENABLE_IF(is_poweroftwo(N) && std::is_same_v<simd<T, N>, simd_halves<unwrap_bit<T>, N>>)>
 KFR_INTRINSIC simd<T, N / 2> simd_shuffle(simd_t<T, N>, const simd<T, N>& x, csizeseq_t<N / 2, N / 2>,
                                           overload_priority<7>) CMT_NOEXCEPT
 {
@@ -1313,7 +1304,7 @@ KFR_INTRINSIC simd<T, Nout> simd_shuffle(simd_t<T, N>, const simd<T, N>& x, csiz
                                          overload_generic) CMT_NOEXCEPT
 {
     not_optimized(CMT_FUNC_SIGNATURE);
-#ifdef CMT_COMPILER_MSVC
+#ifdef CMT_COMPILER_IS_MSVC
     const simd_array<T, N> xx                 = to_simd_array<T, N>(x);
     constexpr static unsigned indices_array[] = { static_cast<unsigned>(indices)... };
     return from_simd_array<T, Nout>(simd_shuffle_generic<T, Nout, N>(xx, indices_array));
@@ -1329,7 +1320,7 @@ KFR_INTRINSIC simd<T, Nout> simd_shuffle(simd2_t<T, N, N>, const simd<T, N>& x, 
 {
     static_assert(N == N2, "");
     not_optimized(CMT_FUNC_SIGNATURE);
-#ifdef CMT_COMPILER_MSVC
+#ifdef CMT_COMPILER_IS_MSVC
     const simd_array<T, N> xx                 = to_simd_array<T, N>(x);
     const simd_array<T, N> yy                 = to_simd_array<T, N>(y);
     constexpr static unsigned indices_array[] = { static_cast<unsigned>(indices)... };
@@ -1349,7 +1340,7 @@ KFR_INTRINSIC simd<T, Nout> simd_shuffle(simd2_t<T, N1, N2>, const simd<T, N1>& 
 {
     not_optimized(CMT_FUNC_SIGNATURE);
 
-#ifdef CMT_COMPILER_MSVC
+#ifdef CMT_COMPILER_IS_MSVC
     const simd_array<T, N1> xx                = to_simd_array<T, N1>(x);
     const simd_array<T, N2> yy                = to_simd_array<T, N2>(y);
     constexpr static unsigned indices_array[] = { static_cast<unsigned>(indices)... };
@@ -1398,14 +1389,14 @@ template <typename Tout, typename Tin, size_t N, size_t... indices>
 KFR_INTRINSIC simd<Tout, N> simd_convert__(const simd<Tin, N>& x, csizes_t<indices...>) CMT_NOEXCEPT
 {
     const simd_array<Tin, N> xx = to_simd_array<Tin, N>(x);
-    return simd_make(ctype<Tout>, static_cast<Tout>(xx.val[indices])...);
+    return simd_make(cometa::ctype<Tout>, static_cast<Tout>(xx.val[indices])...);
 }
 
 /// @brief Converts input vector to vector with subtype Tout
 template <typename Tout, typename Tin, KFR_ENABLE_IF(!std::is_same<Tout, Tin>::value)>
 KFR_INTRINSIC simd<Tout, 1> simd_convert(simd_cvt_t<Tout, Tin, 1>, const simd<Tin, 1>& x) CMT_NOEXCEPT
 {
-    return simd_make(ctype<Tout>, static_cast<Tout>(x));
+    return simd_make(cometa::ctype<Tout>, static_cast<Tout>(x));
 }
 
 /// @brief Converts input vector to vector with subtype Tout
@@ -1469,7 +1460,7 @@ KFR_INTRINSIC simd<T, N> simd_set_element(const simd<T, N>& value, size_t index,
 template <typename T, size_t Nout, size_t Nin>
 KFR_INTRINSIC simd<T, Nout> simd_from_partial(simd2_t<T, Nout, Nin>, const simd<T, Nin>& x)
 {
-#ifdef _MSC_VER
+#ifdef CMT_COMPILER_IS_MSVC
     union
     {
         simd<T, Nin> in;
@@ -1712,10 +1703,10 @@ KFR_INTRINSIC simd<float, 8> simd_vec_shuffle(simd_t<float, 8>, const simd<float
         {
             return simd_from_halves(simd_t<float, 8>{},
                                     universal_shuffle(simd_t<float, 4>{}, simd_get_low(simd_t<float, 8>{}, x),
-                                                      shuffle_mask<8, I0, I1, I2, I3>::value),
+                                                      csizes<I0, I1, I2, I3>),
                                     universal_shuffle(simd_t<float, 4>{},
                                                       simd_get_high(simd_t<float, 8>{}, x),
-                                                      shuffle_mask<8, I4, I5, I6, I7>::value));
+                                                      csizes<I4, I5, I6, I7>));
         }
     }
     else
@@ -1752,10 +1743,9 @@ KFR_INTRINSIC simd<double, 4> simd_vec_shuffle(simd_t<double, 4>, const simd<dou
         {
             return simd_from_halves(
                 simd_t<double, 4>{},
-                universal_shuffle(simd_t<double, 2>{}, simd_get_low(simd_t<double, 4>{}, x),
-                                  shuffle_mask<2, I0, I1>::value),
+                universal_shuffle(simd_t<double, 2>{}, simd_get_low(simd_t<double, 4>{}, x), csizes<I0, I1>),
                 universal_shuffle(simd_t<double, 2>{}, simd_get_high(simd_t<double, 4>{}, x),
-                                  shuffle_mask<2, I2, I3>::value));
+                                  csizes<I2, I3>));
         }
     }
     else
@@ -1932,3 +1922,4 @@ KFR_INTRINSIC simd<T, Nout> universal_shuffle(simd_t<T, Nin>, const simd<T, Nin>
 } // namespace kfr
 
 CMT_PRAGMA_GNU(GCC diagnostic pop)
+#endif
diff --git a/include/kfr/simd/impl/basicoperators_clang.hpp b/include/kfr/simd/impl/basicoperators_clang.hpp
@@ -86,6 +86,12 @@ KFR_INTRINSIC vec<T, N> div(const vec<T, N>& x, const vec<T, N>& y)
     return x.v / y.v;
 }
 KFR_OP_SCALAR2(div, /, , , )
+template <typename T, size_t N, KFR_ENABLE_IF(is_simd_type<T>)>
+KFR_INTRINSIC vec<T, N> mod(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return x.v % y.v;
+}
+KFR_OP_SCALAR2(mod, %, , , )
 
 template <typename T, size_t N, KFR_ENABLE_IF(is_simd_type<T>)>
 KFR_INTRINSIC vec<T, N> band(const vec<T, N>& x, const vec<T, N>& y)
diff --git a/include/kfr/simd/impl/basicoperators_complex.hpp b/include/kfr/simd/impl/basicoperators_complex.hpp
@@ -0,0 +1,111 @@
+/** @addtogroup complex
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../complex_type.hpp"
+#include "../operators.hpp"
+#include "../vec.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+namespace intrinsics
+{
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> neg(const vec<complex<T>, N>& x)
+{
+    return neg(x.flatten()).v;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> add(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    return add(x.flatten(), y.flatten()).v;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> sub(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    return sub(x.flatten(), y.flatten()).v;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> mul(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    const vec<T, (N * 2)> xx = x.v;
+    const vec<T, (N * 2)> yy = y.v;
+    return subadd(mul(xx, dupeven(yy)), mul(swap<2>(xx), dupodd(yy))).v;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> div(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    const vec<T, (N * 2)> xx = x.v;
+    const vec<T, (N * 2)> yy = y.v;
+    const vec<T, (N * 2)> m  = (add(sqr(dupeven(yy)), sqr(dupodd(yy))));
+    return swap<2>(subadd(mul(swap<2>(xx), dupeven(yy)), mul(xx, dupodd(yy))) / m).v;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> bor(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    return bor(x.flatten(), y.flatten()).v;
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> bxor(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    return bxor(x.flatten(), y.flatten()).v;
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<complex<T>, N> band(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
+{
+    return band(x.flatten(), y.flatten()).v;
+}
+
+#define KFR_COMPLEX_OP_CVT(fn)                                                                               \
+    template <typename T, size_t N>                                                                          \
+    KFR_INTRINSIC vec<complex<T>, N> fn(const vec<complex<T>, N>& x, const complex<T>& y)                    \
+    {                                                                                                        \
+        return fn(x, vec<complex<T>, N>(y));                                                                 \
+    }                                                                                                        \
+    template <typename T, size_t N>                                                                          \
+    KFR_INTRINSIC vec<complex<T>, N> fn(const complex<T>& x, const vec<complex<T>, N>& y)                    \
+    {                                                                                                        \
+        return fn(vec<complex<T>, N>(x), y);                                                                 \
+    }
+
+KFR_COMPLEX_OP_CVT(mul)
+KFR_COMPLEX_OP_CVT(div)
+KFR_COMPLEX_OP_CVT(band)
+KFR_COMPLEX_OP_CVT(bxor)
+KFR_COMPLEX_OP_CVT(bor)
+
+} // namespace intrinsics
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/include/kfr/simd/impl/basicoperators_generic.hpp b/include/kfr/simd/impl/basicoperators_generic.hpp
@@ -39,6 +39,16 @@ inline namespace CMT_ARCH_NAME
 namespace intrinsics
 {
 
+#define KFR_DIV_MOD_FN(ty)                                                                                   \
+    KFR_INTRINSIC ty div(const ty& x, const ty& y)                                                           \
+    {                                                                                                        \
+        KFR_COMPONENTWISE_RET_I(ty, result[i] = y[i] ? x[i] / y[i] : 0);                                     \
+    }                                                                                                        \
+    KFR_INTRINSIC ty mod(const ty& x, const ty& y)                                                           \
+    {                                                                                                        \
+        KFR_COMPONENTWISE_RET_I(ty, result[i] = y[i] ? x[i] % y[i] : 0);                                     \
+    }
+
 #if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
 
 KFR_INTRINSIC __m128 _mm_allones_ps()
@@ -76,17 +86,11 @@ KFR_INTRINSIC f64sse div(const f64sse& x, const f64sse& y) { return f64sse(_mm_d
 
 KFR_INTRINSIC u8sse add(const u8sse& x, const u8sse& y) { return _mm_add_epi8(x.v, y.v); }
 KFR_INTRINSIC u8sse sub(const u8sse& x, const u8sse& y) { return _mm_sub_epi8(x.v, y.v); }
-KFR_INTRINSIC u8sse div(const u8sse& x, const u8sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(u8sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(u8sse)
 
 KFR_INTRINSIC i8sse add(const i8sse& x, const i8sse& y) { return _mm_add_epi8(x.v, y.v); }
 KFR_INTRINSIC i8sse sub(const i8sse& x, const i8sse& y) { return _mm_sub_epi8(x.v, y.v); }
-KFR_INTRINSIC i8sse div(const i8sse& x, const i8sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(i8sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(i8sse)
 
 KFR_INTRINSIC __m128i mul_epi8(const __m128i& x, const __m128i& y)
 {
@@ -102,18 +106,12 @@ KFR_INTRINSIC i8sse mul(const i8sse& x, const i8sse& y) { return mul_epi8(x.v, y
 KFR_INTRINSIC u16sse add(const u16sse& x, const u16sse& y) { return _mm_add_epi16(x.v, y.v); }
 KFR_INTRINSIC u16sse sub(const u16sse& x, const u16sse& y) { return _mm_sub_epi16(x.v, y.v); }
 KFR_INTRINSIC u16sse mul(const u16sse& x, const u16sse& y) { return _mm_mullo_epi16(x.v, y.v); }
-KFR_INTRINSIC u16sse div(const u16sse& x, const u16sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(u16sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(u16sse)
 
 KFR_INTRINSIC i16sse add(const i16sse& x, const i16sse& y) { return _mm_add_epi16(x.v, y.v); }
 KFR_INTRINSIC i16sse sub(const i16sse& x, const i16sse& y) { return _mm_sub_epi16(x.v, y.v); }
 KFR_INTRINSIC i16sse mul(const i16sse& x, const i16sse& y) { return _mm_mullo_epi16(x.v, y.v); }
-KFR_INTRINSIC i16sse div(const i16sse& x, const i16sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(i16sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(i16sse)
 
 KFR_INTRINSIC u32sse add(const u32sse& x, const u32sse& y) { return _mm_add_epi32(x.v, y.v); }
 KFR_INTRINSIC u32sse sub(const u32sse& x, const u32sse& y) { return _mm_sub_epi32(x.v, y.v); }
@@ -140,14 +138,8 @@ KFR_INTRINSIC i32sse mul(const i32sse& x, const i32sse& y)
                               _mm_shuffle_epi32(tmp2, _MM_SHUFFLE(0, 0, 2, 0)));
 }
 #endif
-KFR_INTRINSIC u32sse div(const u32sse& x, const u32sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(u32sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC i32sse div(const i32sse& x, const i32sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(i32sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(u32sse)
+KFR_DIV_MOD_FN(i32sse)
 
 KFR_INTRINSIC u64sse add(const u64sse& x, const u64sse& y) { return _mm_add_epi64(x.v, y.v); }
 KFR_INTRINSIC u64sse sub(const u64sse& x, const u64sse& y) { return _mm_sub_epi64(x.v, y.v); }
@@ -155,10 +147,6 @@ KFR_INTRINSIC u64sse mul(const u64sse& x, const u64sse& y)
 {
     KFR_COMPONENTWISE_RET_I(u64sse, result[i] = x[i] * y[i]);
 }
-KFR_INTRINSIC u64sse div(const u64sse& x, const u64sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(u64sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
 
 KFR_INTRINSIC i64sse add(const i64sse& x, const i64sse& y) { return _mm_add_epi64(x.v, y.v); }
 KFR_INTRINSIC i64sse sub(const i64sse& x, const i64sse& y) { return _mm_sub_epi64(x.v, y.v); }
@@ -166,10 +154,8 @@ KFR_INTRINSIC i64sse mul(const i64sse& x, const i64sse& y)
 {
     KFR_COMPONENTWISE_RET_I(i64sse, result[i] = x[i] * y[i]);
 }
-KFR_INTRINSIC i64sse div(const i64sse& x, const i64sse& y)
-{
-    KFR_COMPONENTWISE_RET_I(i64sse, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(u64sse)
+KFR_DIV_MOD_FN(i64sse)
 
 KFR_INTRINSIC f32sse shl(const f32sse& x, unsigned y)
 {
@@ -516,19 +502,23 @@ KFR_INTRINSIC __m256i _mm256_allones_si256()
 {
     return _mm256_cmpeq_epi8(_mm256_setzero_si256(), _mm256_setzero_si256());
 }
+KFR_INTRINSIC __m256i _mm256_not_si256(const __m256i& x)
+{
+    return _mm256_xor_si256(x, _mm256_allones_si256());
+}
 #else
 KFR_INTRINSIC __m256i _mm256_allones_si256()
 {
     return _mm256_castps_si256(_mm256_cmp_ps(_mm256_setzero_ps(), _mm256_setzero_ps(), _CMP_EQ_UQ));
 }
+KFR_INTRINSIC __m256i _mm256_not_si256(const __m256i& x)
+{
+    return _mm256_castps_si256(_mm256_xor_ps(_mm256_castsi256_ps(x), _mm256_allones_ps()));
+}
 #endif
 
 KFR_INTRINSIC __m256 _mm256_not_ps(const __m256& x) { return _mm256_xor_ps(x, _mm256_allones_ps()); }
 KFR_INTRINSIC __m256d _mm256_not_pd(const __m256d& x) { return _mm256_xor_pd(x, _mm256_allones_pd()); }
-KFR_INTRINSIC __m256i _mm256_not_si256(const __m256i& x)
-{
-    return _mm256_xor_si256(x, _mm256_allones_si256());
-}
 
 KFR_INTRINSIC __m256i _mm256_highbit_epi8() { return _mm256_set1_epi8(static_cast<char>(0x80)); }
 KFR_INTRINSIC __m256i _mm256_highbit_epi16() { return _mm256_set1_epi16(static_cast<short>(0x8000)); }
@@ -600,33 +590,21 @@ KFR_INTRINSIC f64avx shr(const f64avx& x, unsigned y)
 
 KFR_INTRINSIC u8avx add(const u8avx& x, const u8avx& y) { return _mm256_add_epi8(x.v, y.v); }
 KFR_INTRINSIC u8avx sub(const u8avx& x, const u8avx& y) { return _mm256_sub_epi8(x.v, y.v); }
-KFR_INTRINSIC u8avx div(const u8avx& x, const u8avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(u8avx, result[i] = x[i] / y[i]);
-}
+KFR_DIV_MOD_FN(u8avx)
 
 KFR_INTRINSIC i8avx add(const i8avx& x, const i8avx& y) { return _mm256_add_epi8(x.v, y.v); }
 KFR_INTRINSIC i8avx sub(const i8avx& x, const i8avx& y) { return _mm256_sub_epi8(x.v, y.v); }
-KFR_INTRINSIC i8avx div(const i8avx& x, const i8avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(i8avx, result[i] = x[i] / y[i]);
-}
+KFR_DIV_MOD_FN(i8avx)
 
 KFR_INTRINSIC u16avx add(const u16avx& x, const u16avx& y) { return _mm256_add_epi16(x.v, y.v); }
 KFR_INTRINSIC u16avx sub(const u16avx& x, const u16avx& y) { return _mm256_sub_epi16(x.v, y.v); }
 KFR_INTRINSIC u16avx mul(const u16avx& x, const u16avx& y) { return _mm256_mullo_epi16(x.v, y.v); }
-KFR_INTRINSIC u16avx div(const u16avx& x, const u16avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(u16avx, result[i] = x[i] / y[i]);
-}
+KFR_DIV_MOD_FN(u16avx)
 
 KFR_INTRINSIC i16avx add(const i16avx& x, const i16avx& y) { return _mm256_add_epi16(x.v, y.v); }
 KFR_INTRINSIC i16avx sub(const i16avx& x, const i16avx& y) { return _mm256_sub_epi16(x.v, y.v); }
 KFR_INTRINSIC i16avx mul(const i16avx& x, const i16avx& y) { return _mm256_mullo_epi16(x.v, y.v); }
-KFR_INTRINSIC i16avx div(const i16avx& x, const i16avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(i16avx, result[i] = x[i] / y[i]);
-}
+KFR_DIV_MOD_FN(i16avx)
 
 KFR_INTRINSIC u32avx add(const u32avx& x, const u32avx& y) { return _mm256_add_epi32(x.v, y.v); }
 KFR_INTRINSIC u32avx sub(const u32avx& x, const u32avx& y) { return _mm256_sub_epi32(x.v, y.v); }
@@ -636,14 +614,8 @@ KFR_INTRINSIC i32avx sub(const i32avx& x, const i32avx& y) { return _mm256_sub_e
 
 KFR_INTRINSIC u32avx mul(const u32avx& x, const u32avx& y) { return _mm256_mullo_epi32(x.v, y.v); }
 KFR_INTRINSIC i32avx mul(const i32avx& x, const i32avx& y) { return _mm256_mullo_epi32(x.v, y.v); }
-KFR_INTRINSIC u32avx div(const u32avx& x, const u32avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(u32avx, result[i] = x[i] / y[i]);
-}
-KFR_INTRINSIC i32avx div(const i32avx& x, const i32avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(i32avx, result[i] = x[i] / y[i]);
-}
+KFR_DIV_MOD_FN(u32avx)
+KFR_DIV_MOD_FN(i32avx)
 
 KFR_INTRINSIC u64avx add(const u64avx& x, const u64avx& y) { return _mm256_add_epi64(x.v, y.v); }
 KFR_INTRINSIC u64avx sub(const u64avx& x, const u64avx& y) { return _mm256_sub_epi64(x.v, y.v); }
@@ -651,10 +623,6 @@ KFR_INTRINSIC u64avx mul(const u64avx& x, const u64avx& y)
 {
     KFR_COMPONENTWISE_RET_I(u64avx, result[i] = x[i] * y[i]);
 }
-KFR_INTRINSIC u64avx div(const u64avx& x, const u64avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(u64avx, result[i] = y[i] ? x[i] / y[i] : 0);
-}
 
 KFR_INTRINSIC i64avx add(const i64avx& x, const i64avx& y) { return _mm256_add_epi64(x.v, y.v); }
 KFR_INTRINSIC i64avx sub(const i64avx& x, const i64avx& y) { return _mm256_sub_epi64(x.v, y.v); }
@@ -662,10 +630,8 @@ KFR_INTRINSIC i64avx mul(const i64avx& x, const i64avx& y)
 {
     KFR_COMPONENTWISE_RET_I(i64avx, result[i] = x[i] * y[i]);
 }
-KFR_INTRINSIC i64avx div(const i64avx& x, const i64avx& y)
-{
-    KFR_COMPONENTWISE_RET_I(i64avx, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(u64avx)
+KFR_DIV_MOD_FN(i64avx)
 
 KFR_INTRINSIC __m256i mul_epi8(const __m256i& x, const __m256i& y)
 {
@@ -1319,38 +1285,14 @@ KFR_INTRINSIC u16avx512 mul(const u16avx512& x, const u16avx512& y) { return _mm
 KFR_INTRINSIC u32avx512 mul(const u32avx512& x, const u32avx512& y) { return _mm512_mullo_epi32(x.v, y.v); }
 KFR_INTRINSIC u64avx512 mul(const u64avx512& x, const u64avx512& y) { return _mm512_mullo_epi64(x.v, y.v); }
 
-KFR_INTRINSIC i8avx512 div(const i8avx512& x, const i8avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u8avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC i16avx512 div(const i16avx512& x, const i16avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u16avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC i32avx512 div(const i32avx512& x, const i32avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u32avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC i64avx512 div(const i64avx512& x, const i64avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u64avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC u8avx512 div(const u8avx512& x, const u8avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u8avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC u16avx512 div(const u16avx512& x, const u16avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u16avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC u32avx512 div(const u32avx512& x, const u32avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u32avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
-KFR_INTRINSIC u64avx512 div(const u64avx512& x, const u64avx512& y)
-{
-    KFR_COMPONENTWISE_RET_I(u64avx512, result[i] = y[i] ? x[i] / y[i] : 0);
-}
+KFR_DIV_MOD_FN(i8avx512)
+KFR_DIV_MOD_FN(i16avx512)
+KFR_DIV_MOD_FN(i32avx512)
+KFR_DIV_MOD_FN(i64avx512)
+KFR_DIV_MOD_FN(u8avx512)
+KFR_DIV_MOD_FN(u16avx512)
+KFR_DIV_MOD_FN(u32avx512)
+KFR_DIV_MOD_FN(u64avx512)
 
 KFR_INTRINSIC i8avx512 band(const i8avx512& x, const i8avx512& y) { return _mm512_and_si512(x.v, y.v); }
 KFR_INTRINSIC i16avx512 band(const i16avx512& x, const i16avx512& y) { return _mm512_and_si512(x.v, y.v); }
@@ -1512,6 +1454,7 @@ KFR_HANDLE_ALL_SIZES_2(add)
 KFR_HANDLE_ALL_SIZES_2(sub)
 KFR_HANDLE_ALL_SIZES_2(mul)
 KFR_HANDLE_ALL_SIZES_2(div)
+KFR_HANDLE_ALL_SIZES_2(mod)
 
 KFR_HANDLE_ALL_SIZES_2(eq)
 KFR_HANDLE_ALL_SIZES_2(ne)
@@ -1619,6 +1562,11 @@ KFR_INTRINSIC vec<T, N> div(const vec<T, N>& x, const vec<T, N>& y)
 {
     KFR_COMPONENTWISE_RET(result[i] = x[i] / y[i]);
 }
+template <typename T, size_t N, KFR_ENABLE_IF(is_simd_type<T>)>
+KFR_INTRINSIC vec<T, N> mod(const vec<T, N>& x, const vec<T, N>& y)
+{
+    KFR_COMPONENTWISE_RET(result[i] = x[i] % y[i]);
+}
 
 #define KFR_HANDLE_VEC_SCA(fn)                                                                               \
     template <typename T, size_t N, KFR_ENABLE_IF(is_simd_type<T>)>                                          \
@@ -1636,6 +1584,7 @@ KFR_HANDLE_VEC_SCA(add)
 KFR_HANDLE_VEC_SCA(sub)
 KFR_HANDLE_VEC_SCA(mul)
 KFR_HANDLE_VEC_SCA(div)
+KFR_HANDLE_VEC_SCA(mod)
 KFR_HANDLE_VEC_SCA(band)
 KFR_HANDLE_VEC_SCA(bor)
 KFR_HANDLE_VEC_SCA(bxor)
diff --git a/include/kfr/simd/impl/clamp.hpp b/include/kfr/simd/impl/clamp.hpp
@@ -0,0 +1,55 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../min_max.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+template <typename T>
+KFR_INTRINSIC T clamp(const T& x, const T& lo, const T& hi)
+{
+    return max(min(x, hi), lo);
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> clamp(const vec<T, N>& x, const vec<T, N>& lo, const vec<T, N>& hi)
+{
+    return max(min(x, hi), lo);
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> clamp(const vec<T, N>& x, const vec<T, N>& hi)
+{
+    return max(min(x, hi), zerovector<T, N>());
+}
+} // namespace intrinsics
+KFR_I_FN(clamp)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/function.hpp b/include/kfr/simd/impl/function.hpp
@@ -22,7 +22,6 @@
  */
 #pragma once
 
-#include "../../base/expression.hpp"
 #include "../shuffle.hpp"
 #include "../types.hpp"
 #include "../vec.hpp"
@@ -39,11 +38,11 @@ inline namespace CMT_ARCH_NAME
     template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>                                           \
     KFR_INTRINSIC vec<flt_type<T>, N> fn(const vec<T, N>& a) CMT_NOEXCEPT                                    \
     {                                                                                                        \
-        return intrinsics::fn(elemcast<flt_type<T>>(a));                                                     \
+        return intrinsics::fn(promoteto<flt_type<T>>(a));                                                    \
     }
 
 #define KFR_HANDLE_SCALAR(fn)                                                                                \
-    template <typename T1, typename... Args, typename Tout = ::kfr::common_type<T1, Args...>,                \
+    template <typename T1, typename... Args, typename Tout = std::common_type_t<T1, Args...>,                \
               KFR_ENABLE_IF(!(is_vec<T1> || (is_vec<Args> || ...)))>                                         \
     KFR_INTRINSIC Tout fn(const T1& a, const Args&... b) CMT_NOEXCEPT                                        \
     {                                                                                                        \
@@ -52,7 +51,7 @@ inline namespace CMT_ARCH_NAME
     }
 
 #define KFR_HANDLE_SCALAR_1_T(fn, Tout)                                                                      \
-    template <typename T1, typename... Args, typename T = ::kfr::common_type<T1, Args...>,                   \
+    template <typename T1, typename... Args, typename T = std::common_type_t<T1, Args...>,                   \
               KFR_ENABLE_IF(!(is_vec<T1> || (is_vec<Args> || ...)))>                                         \
     KFR_INTRINSIC Tout fn(const T1& a, const Args&... b) CMT_NOEXCEPT                                        \
     {                                                                                                        \
@@ -61,7 +60,7 @@ inline namespace CMT_ARCH_NAME
     }
 
 #define KFR_HANDLE_ARGS_T(fn, Tout)                                                                          \
-    template <typename T1, typename... Args, typename T = ::kfr::common_type<T1, Args...>,                   \
+    template <typename T1, typename... Args, typename T = std::common_type_t<T1, Args...>,                   \
               KFR_ENABLE_IF((is_vec<T1> || (is_vec<Args> || ...)))>                                          \
     KFR_INTRINSIC Tout fn(const T1& a, const Args&... b) CMT_NOEXCEPT                                        \
     {                                                                                                        \
@@ -318,7 +317,7 @@ KFR_INTRINSIC void intrin(vec<T, N>& result, const T& a, const vec<T, N>& b, Fn&
     }
 
 template <typename T>
-using vec1 = conditional<is_vec<T>, T, vec<T, 1>>;
+using vec1 = std::conditional_t<is_vec<T>, T, vec<T, 1>>;
 
 template <typename T>
 inline const T& to_scalar(const T& value) CMT_NOEXCEPT
diff --git a/include/kfr/simd/impl/logical.hpp b/include/kfr/simd/impl/logical.hpp
@@ -0,0 +1,284 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../abs.hpp"
+#include "../operators.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
+
+#if defined CMT_ARCH_SSE41
+
+// horizontal OR
+KFR_INTRINSIC bool bittestany(const mu8sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu16sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu32sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu64sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi8sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi16sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi32sse& x) { return !_mm_testz_si128(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi64sse& x) { return !_mm_testz_si128(x.v, x.v); }
+
+// horizontal AND
+KFR_INTRINSIC bool bittestall(const mu8sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu16sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu32sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu64sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi8sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi16sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi32sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi64sse& x) { return _mm_testc_si128(x.v, allonesvector(x).v); }
+#endif
+
+#if defined CMT_ARCH_AVX
+// horizontal OR
+KFR_INTRINSIC bool bittestany(const mf32sse& x) { return !_mm_testz_ps(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mf64sse& x) { return !_mm_testz_pd(x.v, x.v); }
+
+KFR_INTRINSIC bool bittestany(const mf32avx& x) { return !_mm256_testz_ps(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mf64avx& x) { return !_mm256_testz_pd(x.v, x.v); }
+
+KFR_INTRINSIC bool bittestany(const mu8avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu16avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu32avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mu64avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi8avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi16avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi32avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+KFR_INTRINSIC bool bittestany(const mi64avx& x) { return !_mm256_testz_si256(x.v, x.v); }
+
+// horizontal AND
+KFR_INTRINSIC bool bittestall(const mf32sse& x) { return _mm_testc_ps(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mf64sse& x) { return _mm_testc_pd(x.v, allonesvector(x).v); }
+
+KFR_INTRINSIC bool bittestall(const mf32avx& x) { return _mm256_testc_ps(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mf64avx& x) { return _mm256_testc_pd(x.v, allonesvector(x).v); }
+
+KFR_INTRINSIC bool bittestall(const mu8avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu16avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu32avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mu64avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi8avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi16avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi32avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+KFR_INTRINSIC bool bittestall(const mi64avx& x) { return _mm256_testc_si256(x.v, allonesvector(x).v); }
+
+#if defined CMT_ARCH_AVX512
+// horizontal OR
+KFR_INTRINSIC bool bittestany(const mf32avx512& x) { return _mm512_movepi32_mask(_mm512_castps_si512(x.v)); }
+KFR_INTRINSIC bool bittestany(const mf64avx512& x) { return _mm512_movepi64_mask(_mm512_castpd_si512(x.v)); }
+KFR_INTRINSIC bool bittestany(const mu8avx512& x) { return _mm512_movepi8_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mu16avx512& x) { return _mm512_movepi16_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mu32avx512& x) { return _mm512_movepi32_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mu64avx512& x) { return _mm512_movepi64_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mi8avx512& x) { return _mm512_movepi8_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mi16avx512& x) { return _mm512_movepi16_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mi32avx512& x) { return _mm512_movepi32_mask(x.v); }
+KFR_INTRINSIC bool bittestany(const mi64avx512& x) { return _mm512_movepi64_mask(x.v); }
+
+// horizontal AND
+KFR_INTRINSIC bool bittestall(const mf32avx512& x)
+{
+    return !~_mm512_movepi32_mask(_mm512_castps_si512(x.v));
+}
+KFR_INTRINSIC bool bittestall(const mf64avx512& x)
+{
+    return !~_mm512_movepi64_mask(_mm512_castpd_si512(x.v));
+}
+KFR_INTRINSIC bool bittestall(const mu8avx512& x) { return !~_mm512_movepi8_mask(x.v); }
+KFR_INTRINSIC bool bittestall(const mu16avx512& x) { return !~_mm512_movepi16_mask(x.v); }
+KFR_INTRINSIC bool bittestall(const mu32avx512& x) { return !uint16_t(~_mm512_movepi32_mask(x.v)); }
+KFR_INTRINSIC bool bittestall(const mu64avx512& x) { return !uint8_t(~_mm512_movepi64_mask(x.v)); }
+KFR_INTRINSIC bool bittestall(const mi8avx512& x) { return !~_mm512_movepi8_mask(x.v); }
+KFR_INTRINSIC bool bittestall(const mi16avx512& x) { return !~_mm512_movepi16_mask(x.v); }
+KFR_INTRINSIC bool bittestall(const mi32avx512& x) { return !uint16_t(~_mm512_movepi32_mask(x.v)); }
+KFR_INTRINSIC bool bittestall(const mi64avx512& x) { return !uint8_t(~_mm512_movepi64_mask(x.v)); }
+
+#endif
+
+#elif defined CMT_ARCH_SSE41
+KFR_INTRINSIC bool bittestany(const mf32sse& x)
+{
+    return !_mm_testz_si128(bitcast<bit<u8>>(x).v, bitcast<bit<u8>>(x).v);
+}
+KFR_INTRINSIC bool bittestany(const mf64sse& x)
+{
+    return !_mm_testz_si128(bitcast<bit<u8>>(x).v, bitcast<bit<u8>>(x).v);
+}
+KFR_INTRINSIC bool bittestall(const mf32sse& x)
+{
+    return _mm_testc_si128(bitcast<bit<u8>>(x).v, allonesvector(bitcast<bit<u8>>(x)).v);
+}
+KFR_INTRINSIC bool bittestall(const mf64sse& x)
+{
+    return _mm_testc_si128(bitcast<bit<u8>>(x).v, allonesvector(bitcast<bit<u8>>(x)).v);
+}
+#endif
+
+#if !defined CMT_ARCH_SSE41
+
+KFR_INTRINSIC bool bittestany(const mf32sse& x) { return _mm_movemask_ps(x.v); }
+KFR_INTRINSIC bool bittestany(const mf64sse& x) { return _mm_movemask_pd(x.v); }
+KFR_INTRINSIC bool bittestany(const mu8sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mu16sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mu32sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mu64sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mi8sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mi16sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mi32sse& x) { return _mm_movemask_epi8(x.v); }
+KFR_INTRINSIC bool bittestany(const mi64sse& x) { return _mm_movemask_epi8(x.v); }
+
+KFR_INTRINSIC bool bittestall(const mf32sse& x) { return !_mm_movemask_ps((~x).v); }
+KFR_INTRINSIC bool bittestall(const mf64sse& x) { return !_mm_movemask_pd((~x).v); }
+KFR_INTRINSIC bool bittestall(const mu8sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mu16sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mu32sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mu64sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mi8sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mi16sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mi32sse& x) { return !_mm_movemask_epi8((~x).v); }
+KFR_INTRINSIC bool bittestall(const mi64sse& x) { return !_mm_movemask_epi8((~x).v); }
+#endif
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
+{
+    return bittestall(expand_simd(a, bit<T>(true)));
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
+{
+    return bittestall(low(a)) && bittestall(high(a));
+}
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
+{
+    return bittestany(expand_simd(a, bit<T>(false)));
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
+{
+    return bittestany(low(a)) || bittestany(high(a));
+}
+
+#elif CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC bool bittestall(const mu32neon& a)
+{
+    const uint32x2_t tmp = vand_u32(vget_low_u32(a.v), vget_high_u32(a.v));
+    return vget_lane_u32(vpmin_u32(tmp, tmp), 0) == 0xFFFFFFFFu;
+}
+
+KFR_INTRINSIC bool bittestany(const mu32neon& a)
+{
+    const uint32x2_t tmp = vorr_u32(vget_low_u32(a.v), vget_high_u32(a.v));
+    return vget_lane_u32(vpmax_u32(tmp, tmp), 0) != 0;
+}
+KFR_INTRINSIC bool bittestany(const mu8neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mu16neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mu64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mi8neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mi16neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mi64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mf32neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestany(const mf64neon& a) { return bittestany(bitcast<bit<u32>>(a)); }
+
+KFR_INTRINSIC bool bittestall(const mu8neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mu16neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mu64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mi8neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mi16neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mi64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mf32neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+KFR_INTRINSIC bool bittestall(const mf64neon& a) { return bittestall(bitcast<bit<u32>>(a)); }
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
+{
+    return bittestall(expand_simd(a, bit<T>(true)));
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& a)
+{
+    return bittestall(low(a)) && bittestall(high(a));
+}
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T>)>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
+{
+    return bittestany(expand_simd(a, bit<T>(false)));
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N >= vector_width<T>), typename = void>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& a)
+{
+    return bittestany(low(a)) || bittestany(high(a));
+}
+
+#else
+
+template <typename T, size_t N>
+KFR_INTRINSIC bitmask<N> getmask(const mask<T, N>& x)
+{
+    typename bitmask<N>::type val = 0;
+    for (size_t i = 0; i < N; i++)
+    {
+        val |= static_cast<int>(x[i]) << i;
+    }
+    return val;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& x)
+{
+    return getmask(x).value;
+}
+template <typename T, size_t N>
+KFR_INTRINSIC bool bittestany(const mask<T, N>& x, const mask<T, N>& y)
+{
+    return bittestany(x & y);
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& x)
+{
+    return !getmask(~x).value;
+}
+template <typename T, size_t N>
+KFR_INTRINSIC bool bittestall(const mask<T, N>& x, const mask<T, N>& y)
+{
+    return !bittestany(~x & y);
+}
+#endif
+} // namespace intrinsics
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/min_max.hpp b/include/kfr/simd/impl/min_max.hpp
@@ -0,0 +1,236 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../abs.hpp"
+#include "../operators.hpp"
+#include "../select.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC f32sse min(const f32sse& x, const f32sse& y) { return _mm_min_ps(x.v, y.v); }
+KFR_INTRINSIC f64sse min(const f64sse& x, const f64sse& y) { return _mm_min_pd(x.v, y.v); }
+KFR_INTRINSIC u8sse min(const u8sse& x, const u8sse& y) { return _mm_min_epu8(x.v, y.v); }
+KFR_INTRINSIC i16sse min(const i16sse& x, const i16sse& y) { return _mm_min_epi16(x.v, y.v); }
+
+KFR_INTRINSIC f32sse max(const f32sse& x, const f32sse& y) { return _mm_max_ps(x.v, y.v); }
+KFR_INTRINSIC f64sse max(const f64sse& x, const f64sse& y) { return _mm_max_pd(x.v, y.v); }
+KFR_INTRINSIC u8sse max(const u8sse& x, const u8sse& y) { return _mm_max_epu8(x.v, y.v); }
+KFR_INTRINSIC i16sse max(const i16sse& x, const i16sse& y) { return _mm_max_epi16(x.v, y.v); }
+
+#if defined CMT_ARCH_AVX2
+KFR_INTRINSIC u8avx min(const u8avx& x, const u8avx& y) { return _mm256_min_epu8(x.v, y.v); }
+KFR_INTRINSIC i16avx min(const i16avx& x, const i16avx& y) { return _mm256_min_epi16(x.v, y.v); }
+KFR_INTRINSIC i8avx min(const i8avx& x, const i8avx& y) { return _mm256_min_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx min(const u16avx& x, const u16avx& y) { return _mm256_min_epu16(x.v, y.v); }
+KFR_INTRINSIC i32avx min(const i32avx& x, const i32avx& y) { return _mm256_min_epi32(x.v, y.v); }
+KFR_INTRINSIC u32avx min(const u32avx& x, const u32avx& y) { return _mm256_min_epu32(x.v, y.v); }
+
+KFR_INTRINSIC u8avx max(const u8avx& x, const u8avx& y) { return _mm256_max_epu8(x.v, y.v); }
+KFR_INTRINSIC i16avx max(const i16avx& x, const i16avx& y) { return _mm256_max_epi16(x.v, y.v); }
+KFR_INTRINSIC i8avx max(const i8avx& x, const i8avx& y) { return _mm256_max_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx max(const u16avx& x, const u16avx& y) { return _mm256_max_epu16(x.v, y.v); }
+KFR_INTRINSIC i32avx max(const i32avx& x, const i32avx& y) { return _mm256_max_epi32(x.v, y.v); }
+KFR_INTRINSIC u32avx max(const u32avx& x, const u32avx& y) { return _mm256_max_epu32(x.v, y.v); }
+
+#endif
+
+#if defined CMT_ARCH_AVX512
+KFR_INTRINSIC f32avx512 min(const f32avx512& x, const f32avx512& y) { return _mm512_min_ps(x.v, y.v); }
+KFR_INTRINSIC f64avx512 min(const f64avx512& x, const f64avx512& y) { return _mm512_min_pd(x.v, y.v); }
+KFR_INTRINSIC f32avx512 max(const f32avx512& x, const f32avx512& y) { return _mm512_max_ps(x.v, y.v); }
+KFR_INTRINSIC f64avx512 max(const f64avx512& x, const f64avx512& y) { return _mm512_max_pd(x.v, y.v); }
+
+KFR_INTRINSIC u8avx512 min(const u8avx512& x, const u8avx512& y) { return _mm512_min_epu8(x.v, y.v); }
+KFR_INTRINSIC i16avx512 min(const i16avx512& x, const i16avx512& y) { return _mm512_min_epi16(x.v, y.v); }
+KFR_INTRINSIC i8avx512 min(const i8avx512& x, const i8avx512& y) { return _mm512_min_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx512 min(const u16avx512& x, const u16avx512& y) { return _mm512_min_epu16(x.v, y.v); }
+KFR_INTRINSIC i32avx512 min(const i32avx512& x, const i32avx512& y) { return _mm512_min_epi32(x.v, y.v); }
+KFR_INTRINSIC u32avx512 min(const u32avx512& x, const u32avx512& y) { return _mm512_min_epu32(x.v, y.v); }
+KFR_INTRINSIC u8avx512 max(const u8avx512& x, const u8avx512& y) { return _mm512_max_epu8(x.v, y.v); }
+KFR_INTRINSIC i16avx512 max(const i16avx512& x, const i16avx512& y) { return _mm512_max_epi16(x.v, y.v); }
+KFR_INTRINSIC i8avx512 max(const i8avx512& x, const i8avx512& y) { return _mm512_max_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx512 max(const u16avx512& x, const u16avx512& y) { return _mm512_max_epu16(x.v, y.v); }
+KFR_INTRINSIC i32avx512 max(const i32avx512& x, const i32avx512& y) { return _mm512_max_epi32(x.v, y.v); }
+KFR_INTRINSIC u32avx512 max(const u32avx512& x, const u32avx512& y) { return _mm512_max_epu32(x.v, y.v); }
+KFR_INTRINSIC i64avx512 min(const i64avx512& x, const i64avx512& y) { return _mm512_min_epi64(x.v, y.v); }
+KFR_INTRINSIC u64avx512 min(const u64avx512& x, const u64avx512& y) { return _mm512_min_epu64(x.v, y.v); }
+KFR_INTRINSIC i64avx512 max(const i64avx512& x, const i64avx512& y) { return _mm512_max_epi64(x.v, y.v); }
+KFR_INTRINSIC u64avx512 max(const u64avx512& x, const u64avx512& y) { return _mm512_max_epu64(x.v, y.v); }
+
+KFR_INTRINSIC i64avx min(const i64avx& x, const i64avx& y) { return _mm256_min_epi64(x.v, y.v); }
+KFR_INTRINSIC u64avx min(const u64avx& x, const u64avx& y) { return _mm256_min_epu64(x.v, y.v); }
+KFR_INTRINSIC i64avx max(const i64avx& x, const i64avx& y) { return _mm256_max_epi64(x.v, y.v); }
+KFR_INTRINSIC u64avx max(const u64avx& x, const u64avx& y) { return _mm256_max_epu64(x.v, y.v); }
+
+KFR_INTRINSIC i64sse min(const i64sse& x, const i64sse& y) { return _mm_min_epi64(x.v, y.v); }
+KFR_INTRINSIC u64sse min(const u64sse& x, const u64sse& y) { return _mm_min_epu64(x.v, y.v); }
+KFR_INTRINSIC i64sse max(const i64sse& x, const i64sse& y) { return _mm_max_epi64(x.v, y.v); }
+KFR_INTRINSIC u64sse max(const u64sse& x, const u64sse& y) { return _mm_max_epu64(x.v, y.v); }
+#else
+KFR_INTRINSIC i64sse min(const i64sse& x, const i64sse& y) { return select(x < y, x, y); }
+KFR_INTRINSIC u64sse min(const u64sse& x, const u64sse& y) { return select(x < y, x, y); }
+KFR_INTRINSIC i64sse max(const i64sse& x, const i64sse& y) { return select(x > y, x, y); }
+KFR_INTRINSIC u64sse max(const u64sse& x, const u64sse& y) { return select(x > y, x, y); }
+KFR_INTRINSIC i64avx min(const i64avx& x, const i64avx& y) { return select(x < y, x, y); }
+KFR_INTRINSIC u64avx min(const u64avx& x, const u64avx& y) { return select(x < y, x, y); }
+KFR_INTRINSIC i64avx max(const i64avx& x, const i64avx& y) { return select(x > y, x, y); }
+KFR_INTRINSIC u64avx max(const u64avx& x, const u64avx& y) { return select(x > y, x, y); }
+#endif
+
+#if defined CMT_ARCH_AVX
+KFR_INTRINSIC f32avx min(const f32avx& x, const f32avx& y) { return _mm256_min_ps(x.v, y.v); }
+KFR_INTRINSIC f64avx min(const f64avx& x, const f64avx& y) { return _mm256_min_pd(x.v, y.v); }
+KFR_INTRINSIC f32avx max(const f32avx& x, const f32avx& y) { return _mm256_max_ps(x.v, y.v); }
+KFR_INTRINSIC f64avx max(const f64avx& x, const f64avx& y) { return _mm256_max_pd(x.v, y.v); }
+#endif
+
+#if defined CMT_ARCH_SSE41
+KFR_INTRINSIC i8sse min(const i8sse& x, const i8sse& y) { return _mm_min_epi8(x.v, y.v); }
+KFR_INTRINSIC u16sse min(const u16sse& x, const u16sse& y) { return _mm_min_epu16(x.v, y.v); }
+KFR_INTRINSIC i32sse min(const i32sse& x, const i32sse& y) { return _mm_min_epi32(x.v, y.v); }
+KFR_INTRINSIC u32sse min(const u32sse& x, const u32sse& y) { return _mm_min_epu32(x.v, y.v); }
+
+KFR_INTRINSIC i8sse max(const i8sse& x, const i8sse& y) { return _mm_max_epi8(x.v, y.v); }
+KFR_INTRINSIC u16sse max(const u16sse& x, const u16sse& y) { return _mm_max_epu16(x.v, y.v); }
+KFR_INTRINSIC i32sse max(const i32sse& x, const i32sse& y) { return _mm_max_epi32(x.v, y.v); }
+KFR_INTRINSIC u32sse max(const u32sse& x, const u32sse& y) { return _mm_max_epu32(x.v, y.v); }
+#else
+KFR_INTRINSIC i8sse min(const i8sse& x, const i8sse& y) { return select(x < y, x, y); }
+KFR_INTRINSIC u16sse min(const u16sse& x, const u16sse& y) { return select(x < y, x, y); }
+KFR_INTRINSIC i32sse min(const i32sse& x, const i32sse& y) { return select(x < y, x, y); }
+KFR_INTRINSIC u32sse min(const u32sse& x, const u32sse& y) { return select(x < y, x, y); }
+
+KFR_INTRINSIC i8sse max(const i8sse& x, const i8sse& y) { return select(x > y, x, y); }
+KFR_INTRINSIC u16sse max(const u16sse& x, const u16sse& y) { return select(x > y, x, y); }
+KFR_INTRINSIC i32sse max(const i32sse& x, const i32sse& y) { return select(x > y, x, y); }
+KFR_INTRINSIC u32sse max(const u32sse& x, const u32sse& y) { return select(x > y, x, y); }
+
+#endif
+
+KFR_HANDLE_ALL_SIZES_2(min)
+KFR_HANDLE_ALL_SIZES_2(max)
+
+#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC i8neon min(const i8neon& x, const i8neon& y) { return vminq_s8(x.v, y.v); }
+KFR_INTRINSIC u8neon min(const u8neon& x, const u8neon& y) { return vminq_u8(x.v, y.v); }
+KFR_INTRINSIC i16neon min(const i16neon& x, const i16neon& y) { return vminq_s16(x.v, y.v); }
+KFR_INTRINSIC u16neon min(const u16neon& x, const u16neon& y) { return vminq_u16(x.v, y.v); }
+KFR_INTRINSIC i32neon min(const i32neon& x, const i32neon& y) { return vminq_s32(x.v, y.v); }
+KFR_INTRINSIC u32neon min(const u32neon& x, const u32neon& y) { return vminq_u32(x.v, y.v); }
+KFR_INTRINSIC i64neon min(const i64neon& x, const i64neon& y) { return select(x < y, x, y); }
+KFR_INTRINSIC u64neon min(const u64neon& x, const u64neon& y) { return select(x < y, x, y); }
+
+KFR_INTRINSIC i8neon max(const i8neon& x, const i8neon& y) { return vmaxq_s8(x.v, y.v); }
+KFR_INTRINSIC u8neon max(const u8neon& x, const u8neon& y) { return vmaxq_u8(x.v, y.v); }
+KFR_INTRINSIC i16neon max(const i16neon& x, const i16neon& y) { return vmaxq_s16(x.v, y.v); }
+KFR_INTRINSIC u16neon max(const u16neon& x, const u16neon& y) { return vmaxq_u16(x.v, y.v); }
+KFR_INTRINSIC i32neon max(const i32neon& x, const i32neon& y) { return vmaxq_s32(x.v, y.v); }
+KFR_INTRINSIC u32neon max(const u32neon& x, const u32neon& y) { return vmaxq_u32(x.v, y.v); }
+KFR_INTRINSIC i64neon max(const i64neon& x, const i64neon& y) { return select(x > y, x, y); }
+KFR_INTRINSIC u64neon max(const u64neon& x, const u64neon& y) { return select(x > y, x, y); }
+
+KFR_INTRINSIC f32neon min(const f32neon& x, const f32neon& y) { return vminq_f32(x.v, y.v); }
+KFR_INTRINSIC f32neon max(const f32neon& x, const f32neon& y) { return vmaxq_f32(x.v, y.v); }
+#if defined CMT_ARCH_NEON64
+KFR_INTRINSIC f64neon min(const f64neon& x, const f64neon& y) { return vminq_f64(x.v, y.v); }
+KFR_INTRINSIC f64neon max(const f64neon& x, const f64neon& y) { return vmaxq_f64(x.v, y.v); }
+#else
+KFR_INTRINSIC f64neon min(const f64neon& x, const f64neon& y) { return select(x < y, x, y); }
+KFR_INTRINSIC f64neon max(const f64neon& x, const f64neon& y) { return select(x > y, x, y); }
+#endif
+
+KFR_HANDLE_ALL_SIZES_2(min)
+KFR_HANDLE_ALL_SIZES_2(max)
+
+#else
+
+// fallback
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> min(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return select(x < y, x, y);
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> max(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return select(x > y, x, y);
+}
+#endif
+
+template <typename T>
+KFR_INTRINSIC T min(initialvalue<T>)
+{
+    return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity()
+                                                : std::numeric_limits<T>::max();
+}
+template <typename T>
+KFR_INTRINSIC T max(initialvalue<T>)
+{
+    return std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity()
+                                                : std::numeric_limits<T>::min();
+}
+template <typename T>
+KFR_INTRINSIC T absmin(initialvalue<T>)
+{
+    return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity()
+                                                : std::numeric_limits<T>::max();
+}
+template <typename T>
+KFR_INTRINSIC T absmax(initialvalue<T>)
+{
+    return 0;
+}
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> absmin(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return min(abs(x), abs(y));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> absmax(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return max(abs(x), abs(y));
+}
+
+KFR_HANDLE_SCALAR(min)
+KFR_HANDLE_SCALAR(max)
+KFR_HANDLE_SCALAR(absmin)
+KFR_HANDLE_SCALAR(absmax)
+} // namespace intrinsics
+KFR_I_FN(min)
+KFR_I_FN(max)
+KFR_I_FN(absmin)
+KFR_I_FN(absmax)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/operators.hpp b/include/kfr/simd/impl/operators.hpp
@@ -33,83 +33,15 @@
 #include "basicoperators_generic.hpp"
 #endif
 
+#include "basicoperators_complex.hpp"
+
 namespace kfr
 {
 inline namespace CMT_ARCH_NAME
 {
-
 namespace intrinsics
 {
 
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> neg(const vec<complex<T>, N>& x)
-{
-    return neg(x.flatten()).v;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> add(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    return add(x.flatten(), y.flatten()).v;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> sub(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    return sub(x.flatten(), y.flatten()).v;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> mul(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    const vec<T, (N * 2)> xx = x.v;
-    const vec<T, (N * 2)> yy = y.v;
-    return subadd(mul(xx, dupeven(yy)), mul(swap<2>(xx), dupodd(yy))).v;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> div(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    const vec<T, (N * 2)> xx = x.v;
-    const vec<T, (N * 2)> yy = y.v;
-    const vec<T, (N * 2)> m  = (add(sqr(dupeven(yy)), sqr(dupodd(yy))));
-    return swap<2>(subadd(mul(swap<2>(xx), dupeven(yy)), mul(xx, dupodd(yy))) / m).v;
-}
-
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> bor(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    return bor(x.flatten(), y.flatten()).v;
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> bxor(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    return bxor(x.flatten(), y.flatten()).v;
-}
-template <typename T, size_t N>
-KFR_INTRINSIC vec<complex<T>, N> band(const vec<complex<T>, N>& x, const vec<complex<T>, N>& y)
-{
-    return band(x.flatten(), y.flatten()).v;
-}
-
-#define KFR_COMPLEX_OP_CVT(fn)                                                                               \
-    template <typename T, size_t N>                                                                          \
-    KFR_INTRINSIC vec<complex<T>, N> fn(const vec<complex<T>, N>& x, const complex<T>& y)                    \
-    {                                                                                                        \
-        return fn(x, vec<complex<T>, N>(y));                                                                 \
-    }                                                                                                        \
-    template <typename T, size_t N>                                                                          \
-    KFR_INTRINSIC vec<complex<T>, N> fn(const complex<T>& x, const vec<complex<T>, N>& y)                    \
-    {                                                                                                        \
-        return fn(vec<complex<T>, N>(x), y);                                                                 \
-    }
-
-KFR_COMPLEX_OP_CVT(mul)
-KFR_COMPLEX_OP_CVT(div)
-KFR_COMPLEX_OP_CVT(band)
-KFR_COMPLEX_OP_CVT(bxor)
-KFR_COMPLEX_OP_CVT(bor)
-
 #define KFR_VECVEC_OP1(fn)                                                                                   \
     template <typename T1, size_t N1, size_t N2>                                                             \
     KFR_INTRINSIC vec<vec<T1, N1>, N2> fn(const vec<vec<T1, N1>, N2>& x)                                     \
@@ -118,91 +50,35 @@ KFR_COMPLEX_OP_CVT(bor)
     }
 
 #define KFR_VECVEC_OP2(fn)                                                                                   \
-    template <typename T1, typename T2, size_t N1, size_t N2, typename C = common_type<T1, T2>,              \
+    template <typename T1, typename T2, size_t N1, size_t N2, typename C = std::common_type_t<T1, T2>,       \
               KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
     KFR_INTRINSIC vec<vec<C, N1>, N2> fn(const vec<vec<T1, N1>, N2>& x, const vec<vec<T2, N1>, N2>& y)       \
     {                                                                                                        \
-        return fn(innercast<C>(x.flatten()), innercast<C>(y.flatten())).v;                                   \
+        return fn(broadcastto<C>(x.flatten()), broadcastto<C>(y.flatten())).v;                               \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, typename C = common_type<T1, T2>,              \
+    template <typename T1, typename T2, size_t N1, size_t N2, typename C = std::common_type_t<T1, T2>,       \
               KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
     KFR_INTRINSIC vec<vec<C, N1>, N2> fn(const vec<vec<T1, N1>, N2>& x, const T2& y)                         \
     {                                                                                                        \
-        return fn(innercast<C>(x.flatten()), innercast<C>(y)).v;                                             \
+        return fn(broadcastto<C>(x.flatten()), broadcastto<C>(y)).v;                                         \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, typename C = common_type<T1, T2>,              \
+    template <typename T1, typename T2, size_t N1, size_t N2, typename C = std::common_type_t<T1, T2>,       \
               KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
     KFR_INTRINSIC vec<vec<C, N1>, N2> fn(const vec<vec<T1, N1>, N2>& x, const vec<T2, N1>& y)                \
     {                                                                                                        \
-        return fn(innercast<C>(x.flatten()), repeat<N2>(innercast<C>(y.flatten()))).v;                       \
+        return fn(broadcastto<C>(x.flatten()), repeat<N2>(broadcastto<C>(y.flatten()))).v;                   \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, typename C = common_type<T1, T2>,              \
+    template <typename T1, typename T2, size_t N1, size_t N2, typename C = std::common_type_t<T1, T2>,       \
               KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
     KFR_INTRINSIC vec<vec<C, N1>, N2> fn(const T1& x, const vec<vec<T2, N1>, N2>& y)                         \
     {                                                                                                        \
-        return fn(innercast<C>(x), innercast<C>(y.flatten())).v;                                             \
+        return fn(broadcastto<C>(x), broadcastto<C>(y.flatten())).v;                                         \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, typename C = common_type<T1, T2>,              \
+    template <typename T1, typename T2, size_t N1, size_t N2, typename C = std::common_type_t<T1, T2>,       \
               KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
     KFR_INTRINSIC vec<vec<C, N1>, N2> fn(const vec<T1, N1>& x, const vec<vec<T2, N1>, N2>& y)                \
     {                                                                                                        \
-        return fn(repeat<N2>(innercast<C>(x.flatten())), innercast<C>(y.flatten())).v;                       \
-    }
-
-#define KFR_VECVECVEC_OP1(fn)                                                                                \
-    template <typename T1, size_t N1, size_t N2, size_t N3>                                                  \
-    KFR_INTRINSIC vec<vec<vec<T1, N1>, N2>, N3> fn(const vec<vec<vec<T1, N1>, N2>, N3>& x)                   \
-    {                                                                                                        \
-        return fn(x.flatten()).v;                                                                            \
-    }
-
-#define KFR_VECVECVEC_OP2(fn)                                                                                \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<vec<vec<T1, N1>, N2>, N3>& x,                    \
-                                                  const vec<vec<vec<T2, N1>, N2>, N3>& y)                    \
-    { /* VVV @ VVV */                                                                                        \
-        return fn(innercast<C>(x.flatten()), innercast<C>(y.flatten())).v;                                   \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<vec<vec<T1, N1>, N2>, N3>& x,                    \
-                                                  const vec<vec<T2, N1>, N2>& y)                             \
-    { /* VVV @ VV */                                                                                         \
-        return fn(innercast<C>(x.flatten()), repeat<N3>(innercast<C>(y.flatten()))).v;                       \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<vec<T1, N1>, N2>& x,                             \
-                                                  const vec<vec<vec<T2, N1>, N2>, N3>& y)                    \
-    { /* VV @ VVV */                                                                                         \
-        return fn(repeat<N3>(innercast<C>(x.flatten())), innercast<C>(y.flatten())).v;                       \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<vec<vec<T1, N1>, N2>, N3>& x, const T2& y)       \
-    { /* VVV @ S */                                                                                          \
-        return fn(innercast<C>(x.flatten()), innercast<C>(y)).v;                                             \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<vec<vec<T1, N1>, N2>, N3>& x,                    \
-                                                  const vec<T2, N1>& y)                                      \
-    { /* VVV @ V */                                                                                          \
-        return fn(innercast<C>(x.flatten()), repeat<N2>(innercast<C>(y.flatten()))).v;                       \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const T1& x, const vec<vec<vec<T2, N1>, N2>, N3>& y)       \
-    { /* S @ VVV */                                                                                          \
-        return fn(innercast<C>(x), innercast<C>(y.flatten())).v;                                             \
-    }                                                                                                        \
-    template <typename T1, typename T2, size_t N1, size_t N2, size_t N3, typename C = common_type<T1, T2>,   \
-              KFR_ENABLE_IF(is_simd_type<C>)>                                                                \
-    KFR_INTRINSIC vec<vec<vec<C, N1>, N2>, N3> fn(const vec<T1, N1>& x,                                      \
-                                                  const vec<vec<vec<T2, N1>, N2>, N3>& y)                    \
-    { /* V @ VVV */                                                                                          \
-        return fn(repeat<N2>(innercast<C>(x.flatten())), innercast<C>(y.flatten())).v;                       \
+        return fn(repeat<N2>(broadcastto<C>(x.flatten())), broadcastto<C>(y.flatten())).v;                   \
     }
 
 KFR_VECVEC_OP1(neg)
@@ -211,20 +87,11 @@ KFR_VECVEC_OP2(add)
 KFR_VECVEC_OP2(sub)
 KFR_VECVEC_OP2(mul)
 KFR_VECVEC_OP2(div)
+KFR_VECVEC_OP2(mod)
 KFR_VECVEC_OP2(band)
 KFR_VECVEC_OP2(bor)
 KFR_VECVEC_OP2(bxor)
 
-KFR_VECVECVEC_OP1(neg)
-KFR_VECVECVEC_OP1(bnot)
-KFR_VECVECVEC_OP2(add)
-KFR_VECVECVEC_OP2(sub)
-KFR_VECVECVEC_OP2(mul)
-KFR_VECVECVEC_OP2(div)
-KFR_VECVECVEC_OP2(band)
-KFR_VECVECVEC_OP2(bor)
-KFR_VECVECVEC_OP2(bxor)
-
 } // namespace intrinsics
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/include/kfr/simd/impl/round.hpp b/include/kfr/simd/impl/round.hpp
@@ -0,0 +1,282 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../operators.hpp"
+#include "abs.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+#define KFR_mm_trunc_ps(V) _mm_round_ps((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm_roundnearest_ps(V) _mm_round_ps((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+#define KFR_mm_trunc_pd(V) _mm_round_pd((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm_roundnearest_pd(V) _mm_round_pd((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+
+#define KFR_mm_trunc_ss(V) _mm_round_ss(_mm_setzero_ps(), (V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm_roundnearest_ss(V)                                                                            \
+    _mm_round_ss(_mm_setzero_ps(), (V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+#define KFR_mm_trunc_sd(V) _mm_round_sd(_mm_setzero_pd(), (V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm_roundnearest_sd(V)                                                                            \
+    _mm_round_sd(_mm_setzero_pd(), (V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+
+#define KFR_mm_floor_ss(V) _mm_floor_ss(_mm_setzero_ps(), (V))
+#define KFR_mm_floor_sd(V) _mm_floor_sd(_mm_setzero_pd(), (V))
+#define KFR_mm_ceil_ss(V) _mm_ceil_ss(_mm_setzero_ps(), (V))
+#define KFR_mm_ceil_sd(V) _mm_ceil_sd(_mm_setzero_pd(), (V))
+
+#define KFR_mm256_trunc_ps(V) _mm256_round_ps((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm256_roundnearest_ps(V) _mm256_round_ps((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+#define KFR_mm256_trunc_pd(V) _mm256_round_pd((V), _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC)
+#define KFR_mm256_roundnearest_pd(V) _mm256_round_pd((V), _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)
+
+#if defined CMT_ARCH_SSE41 && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC f32sse floor(const f32sse& value) { return _mm_floor_ps(value.v); }
+KFR_INTRINSIC f32sse ceil(const f32sse& value) { return _mm_ceil_ps(value.v); }
+KFR_INTRINSIC f32sse trunc(const f32sse& value) { return KFR_mm_trunc_ps(value.v); }
+KFR_INTRINSIC f32sse round(const f32sse& value) { return KFR_mm_roundnearest_ps(value.v); }
+KFR_INTRINSIC f64sse floor(const f64sse& value) { return _mm_floor_pd(value.v); }
+KFR_INTRINSIC f64sse ceil(const f64sse& value) { return _mm_ceil_pd(value.v); }
+KFR_INTRINSIC f64sse trunc(const f64sse& value) { return KFR_mm_trunc_pd(value.v); }
+KFR_INTRINSIC f64sse round(const f64sse& value) { return KFR_mm_roundnearest_pd(value.v); }
+KFR_INTRINSIC f32sse fract(const f32sse& x) { return x - floor(x); }
+KFR_INTRINSIC f64sse fract(const f64sse& x) { return x - floor(x); }
+
+#if defined CMT_ARCH_AVX
+
+KFR_INTRINSIC f32avx floor(const f32avx& value) { return _mm256_floor_ps(value.v); }
+KFR_INTRINSIC f32avx ceil(const f32avx& value) { return _mm256_ceil_ps(value.v); }
+KFR_INTRINSIC f32avx trunc(const f32avx& value) { return KFR_mm256_trunc_ps(value.v); }
+KFR_INTRINSIC f32avx round(const f32avx& value) { return KFR_mm256_roundnearest_ps(value.v); }
+KFR_INTRINSIC f64avx floor(const f64avx& value) { return _mm256_floor_pd(value.v); }
+KFR_INTRINSIC f64avx ceil(const f64avx& value) { return _mm256_ceil_pd(value.v); }
+KFR_INTRINSIC f64avx trunc(const f64avx& value) { return KFR_mm256_trunc_pd(value.v); }
+KFR_INTRINSIC f64avx round(const f64avx& value) { return KFR_mm256_roundnearest_pd(value.v); }
+KFR_INTRINSIC f32avx fract(const f32avx& x) { return x - floor(x); }
+KFR_INTRINSIC f64avx fract(const f64avx& x) { return x - floor(x); }
+
+#endif
+
+#if defined CMT_ARCH_AVX512
+
+KFR_INTRINSIC f32avx512 floor(const f32avx512& value)
+{
+    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f32avx512 ceil(const f32avx512& value)
+{
+    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f32avx512 trunc(const f32avx512& value)
+{
+    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f32avx512 round(const f32avx512& value)
+{
+    return _mm512_roundscale_ps(value.v, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f64avx512 floor(const f64avx512& value)
+{
+    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f64avx512 ceil(const f64avx512& value)
+{
+    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f64avx512 trunc(const f64avx512& value)
+{
+    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f64avx512 round(const f64avx512& value)
+{
+    return _mm512_roundscale_pd(value.v, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC);
+}
+KFR_INTRINSIC f32avx512 fract(const f32avx512& x) { return x - floor(x); }
+KFR_INTRINSIC f64avx512 fract(const f64avx512& x) { return x - floor(x); }
+#endif
+
+KFR_HANDLE_ALL_SIZES_1_IF(floor, is_f_class<T>)
+KFR_HANDLE_ALL_SIZES_1_IF(ceil, is_f_class<T>)
+KFR_HANDLE_ALL_SIZES_1_IF(round, is_f_class<T>)
+KFR_HANDLE_ALL_SIZES_1_IF(trunc, is_f_class<T>)
+KFR_HANDLE_ALL_SIZES_1_IF(fract, is_f_class<T>)
+
+#else
+
+// fallback
+
+template <typename T>
+constexpr inline T fp_precision_limit = 4503599627370496.0;
+template <>
+constexpr inline f32 fp_precision_limit<f32> = 16777216.0f;
+
+template <size_t N>
+KFR_INTRINSIC vec<f32, N> floor(const vec<f32, N>& x)
+{
+    vec<f32, N> t = broadcastto<f32>(broadcastto<i32>(x));
+    return select(abs(x) >= fp_precision_limit<f32>, x, t - select(x < t, 1.f, 0.f));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f64, N> floor(const vec<f64, N>& x)
+{
+    vec<f64, N> t = broadcastto<f64>(broadcastto<i64>(x));
+    return select(abs(x) >= fp_precision_limit<f64>, x, t - select(x < t, 1., 0.));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f32, N> ceil(const vec<f32, N>& x)
+{
+    vec<f32, N> t = broadcastto<f32>(broadcastto<i32>(x));
+    return select(abs(x) >= fp_precision_limit<f32>, x, t + select(x > t, 1.f, 0.f));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f64, N> ceil(const vec<f64, N>& x)
+{
+    vec<f64, N> t = broadcastto<f64>(broadcastto<i64>(x));
+    return select(abs(x) >= fp_precision_limit<f64>, x, t + select(x > t, 1., 0.));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f32, N> round(const vec<f32, N>& x)
+{
+    return select(abs(x) >= fp_precision_limit<f32>, x,
+                  broadcastto<f32>(broadcastto<i32>(x + mulsign(broadcast<N>(0.5f), x))));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f64, N> round(const vec<f64, N>& x)
+{
+    return select(abs(x) >= fp_precision_limit<f64>, x,
+                  broadcastto<f64>(broadcastto<i64>(x + mulsign(broadcast<N>(0.5), x))));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f32, N> trunc(const vec<f32, N>& x)
+{
+    return select(abs(x) >= fp_precision_limit<f32>, x, broadcastto<f32>(broadcastto<i32>(x)));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f64, N> trunc(const vec<f64, N>& x)
+{
+    return select(abs(x) >= fp_precision_limit<f64>, x, broadcastto<f64>(broadcastto<i64>(x)));
+}
+template <size_t N>
+KFR_INTRINSIC vec<f32, N> fract(const vec<f32, N>& x)
+{
+    return x - floor(x);
+}
+template <size_t N>
+KFR_INTRINSIC vec<f64, N> fract(const vec<f64, N>& x)
+{
+    return x - floor(x);
+}
+#endif
+
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> floor(const vec<T, N>& value)
+{
+    return value;
+}
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> ceil(const vec<T, N>& value)
+{
+    return value;
+}
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> trunc(const vec<T, N>& value)
+{
+    return value;
+}
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> round(const vec<T, N>& value)
+{
+    return value;
+}
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> fract(const vec<T, N>&)
+{
+    return T(0);
+}
+
+template <typename T, size_t N, typename IT = itype<T>>
+KFR_INTRINSIC vec<IT, N> ifloor(const vec<T, N>& value)
+{
+    return broadcastto<IT>(floor(value));
+}
+template <typename T, size_t N, typename IT = itype<T>>
+KFR_INTRINSIC vec<IT, N> iceil(const vec<T, N>& value)
+{
+    return broadcastto<IT>(ceil(value));
+}
+template <typename T, size_t N, typename IT = itype<T>>
+KFR_INTRINSIC vec<IT, N> itrunc(const vec<T, N>& value)
+{
+    return broadcastto<IT>(trunc(value));
+}
+template <typename T, size_t N, typename IT = itype<T>>
+KFR_INTRINSIC vec<IT, N> iround(const vec<T, N>& value)
+{
+    return broadcastto<IT>(round(value));
+}
+
+KFR_HANDLE_SCALAR(floor)
+KFR_HANDLE_SCALAR(ceil)
+KFR_HANDLE_SCALAR(round)
+KFR_HANDLE_SCALAR(trunc)
+KFR_HANDLE_SCALAR(fract)
+KFR_HANDLE_SCALAR(ifloor)
+KFR_HANDLE_SCALAR(iceil)
+KFR_HANDLE_SCALAR(iround)
+KFR_HANDLE_SCALAR(itrunc)
+} // namespace intrinsics
+KFR_I_FN(floor)
+KFR_I_FN(ceil)
+KFR_I_FN(round)
+KFR_I_FN(trunc)
+KFR_I_FN(fract)
+KFR_I_FN(ifloor)
+KFR_I_FN(iceil)
+KFR_I_FN(iround)
+KFR_I_FN(itrunc)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
+
+#undef KFR_mm_trunc_ps
+#undef KFR_mm_roundnearest_ps
+#undef KFR_mm_trunc_pd
+#undef KFR_mm_roundnearest_pd
+#undef KFR_mm_trunc_ss
+#undef KFR_mm_roundnearest_ss
+#undef KFR_mm_trunc_sd
+#undef KFR_mm_roundnearest_sd
+#undef KFR_mm_floor_ss
+#undef KFR_mm_floor_sd
+#undef KFR_mm_ceil_ss
+#undef KFR_mm_ceil_sd
+#undef KFR_mm256_trunc_ps
+#undef KFR_mm256_roundnearest_ps
+#undef KFR_mm256_trunc_pd
+#undef KFR_mm256_roundnearest_pd
diff --git a/include/kfr/simd/impl/saturation.hpp b/include/kfr/simd/impl/saturation.hpp
@@ -0,0 +1,205 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../operators.hpp"
+#include "../select.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+// Generic functions
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> saturated_signed_add(const vec<T, N>& a, const vec<T, N>& b)
+{
+    using UT               = utype<T>;
+    constexpr size_t shift = typebits<UT>::bits - 1;
+    vec<UT, N> aa          = bitcast<UT>(a);
+    vec<UT, N> bb          = bitcast<UT>(b);
+    const vec<UT, N> sum   = aa + bb;
+    aa                     = (aa >> shift) + static_cast<UT>(std::numeric_limits<T>::max());
+
+    return select(bitcast<T>((aa ^ bb) | ~(bb ^ sum)) >= T(), a, bitcast<T>(sum));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> saturated_signed_sub(const vec<T, N>& a, const vec<T, N>& b)
+{
+    using UT               = utype<T>;
+    constexpr size_t shift = typebits<UT>::bits - 1;
+    vec<UT, N> aa          = bitcast<UT>(a);
+    vec<UT, N> bb          = bitcast<UT>(b);
+    const vec<UT, N> diff  = aa - bb;
+    aa                     = (aa >> shift) + static_cast<UT>(std::numeric_limits<T>::max());
+
+    return select(bitcast<T>((aa ^ bb) & (aa ^ diff)) < T(), a, bitcast<T>(diff));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> saturated_unsigned_add(const vec<T, N>& a, const vec<T, N>& b)
+{
+    const vec<T, N> t = allonesvector(a);
+    return select(a > t - b, t, a + b);
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> saturated_unsigned_sub(const vec<T, N>& a, const vec<T, N>& b)
+{
+    return select(a < b, zerovector(a), a - b);
+}
+
+#if defined CMT_ARCH_SSE2 && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC u8sse satadd(const u8sse& x, const u8sse& y) { return _mm_adds_epu8(x.v, y.v); }
+KFR_INTRINSIC i8sse satadd(const i8sse& x, const i8sse& y) { return _mm_adds_epi8(x.v, y.v); }
+KFR_INTRINSIC u16sse satadd(const u16sse& x, const u16sse& y) { return _mm_adds_epu16(x.v, y.v); }
+KFR_INTRINSIC i16sse satadd(const i16sse& x, const i16sse& y) { return _mm_adds_epi16(x.v, y.v); }
+
+KFR_INTRINSIC u8sse satsub(const u8sse& x, const u8sse& y) { return _mm_subs_epu8(x.v, y.v); }
+KFR_INTRINSIC i8sse satsub(const i8sse& x, const i8sse& y) { return _mm_subs_epi8(x.v, y.v); }
+KFR_INTRINSIC u16sse satsub(const u16sse& x, const u16sse& y) { return _mm_subs_epu16(x.v, y.v); }
+KFR_INTRINSIC i16sse satsub(const i16sse& x, const i16sse& y) { return _mm_subs_epi16(x.v, y.v); }
+
+KFR_INTRINSIC i32sse satadd(const i32sse& a, const i32sse& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC i64sse satadd(const i64sse& a, const i64sse& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC u32sse satadd(const u32sse& a, const u32sse& b) { return saturated_unsigned_add(a, b); }
+KFR_INTRINSIC u64sse satadd(const u64sse& a, const u64sse& b) { return saturated_unsigned_add(a, b); }
+
+KFR_INTRINSIC i32sse satsub(const i32sse& a, const i32sse& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC i64sse satsub(const i64sse& a, const i64sse& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC u32sse satsub(const u32sse& a, const u32sse& b) { return saturated_unsigned_sub(a, b); }
+KFR_INTRINSIC u64sse satsub(const u64sse& a, const u64sse& b) { return saturated_unsigned_sub(a, b); }
+
+#if defined CMT_ARCH_AVX2
+KFR_INTRINSIC u8avx satadd(const u8avx& x, const u8avx& y) { return _mm256_adds_epu8(x.v, y.v); }
+KFR_INTRINSIC i8avx satadd(const i8avx& x, const i8avx& y) { return _mm256_adds_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx satadd(const u16avx& x, const u16avx& y) { return _mm256_adds_epu16(x.v, y.v); }
+KFR_INTRINSIC i16avx satadd(const i16avx& x, const i16avx& y) { return _mm256_adds_epi16(x.v, y.v); }
+
+KFR_INTRINSIC u8avx satsub(const u8avx& x, const u8avx& y) { return _mm256_subs_epu8(x.v, y.v); }
+KFR_INTRINSIC i8avx satsub(const i8avx& x, const i8avx& y) { return _mm256_subs_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx satsub(const u16avx& x, const u16avx& y) { return _mm256_subs_epu16(x.v, y.v); }
+KFR_INTRINSIC i16avx satsub(const i16avx& x, const i16avx& y) { return _mm256_subs_epi16(x.v, y.v); }
+
+KFR_INTRINSIC i32avx satadd(const i32avx& a, const i32avx& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC i64avx satadd(const i64avx& a, const i64avx& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC u32avx satadd(const u32avx& a, const u32avx& b) { return saturated_unsigned_add(a, b); }
+KFR_INTRINSIC u64avx satadd(const u64avx& a, const u64avx& b) { return saturated_unsigned_add(a, b); }
+
+KFR_INTRINSIC i32avx satsub(const i32avx& a, const i32avx& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC i64avx satsub(const i64avx& a, const i64avx& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC u32avx satsub(const u32avx& a, const u32avx& b) { return saturated_unsigned_sub(a, b); }
+KFR_INTRINSIC u64avx satsub(const u64avx& a, const u64avx& b) { return saturated_unsigned_sub(a, b); }
+#endif
+
+#if defined CMT_ARCH_AVX512
+KFR_INTRINSIC u8avx512 satadd(const u8avx512& x, const u8avx512& y) { return _mm512_adds_epu8(x.v, y.v); }
+KFR_INTRINSIC i8avx512 satadd(const i8avx512& x, const i8avx512& y) { return _mm512_adds_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx512 satadd(const u16avx512& x, const u16avx512& y) { return _mm512_adds_epu16(x.v, y.v); }
+KFR_INTRINSIC i16avx512 satadd(const i16avx512& x, const i16avx512& y) { return _mm512_adds_epi16(x.v, y.v); }
+KFR_INTRINSIC u8avx512 satsub(const u8avx512& x, const u8avx512& y) { return _mm512_subs_epu8(x.v, y.v); }
+KFR_INTRINSIC i8avx512 satsub(const i8avx512& x, const i8avx512& y) { return _mm512_subs_epi8(x.v, y.v); }
+KFR_INTRINSIC u16avx512 satsub(const u16avx512& x, const u16avx512& y) { return _mm512_subs_epu16(x.v, y.v); }
+KFR_INTRINSIC i16avx512 satsub(const i16avx512& x, const i16avx512& y) { return _mm512_subs_epi16(x.v, y.v); }
+
+KFR_INTRINSIC i32avx512 satadd(const i32avx512& a, const i32avx512& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC i64avx512 satadd(const i64avx512& a, const i64avx512& b) { return saturated_signed_add(a, b); }
+KFR_INTRINSIC u32avx512 satadd(const u32avx512& a, const u32avx512& b)
+{
+    return saturated_unsigned_add(a, b);
+}
+KFR_INTRINSIC u64avx512 satadd(const u64avx512& a, const u64avx512& b)
+{
+    return saturated_unsigned_add(a, b);
+}
+KFR_INTRINSIC i32avx512 satsub(const i32avx512& a, const i32avx512& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC i64avx512 satsub(const i64avx512& a, const i64avx512& b) { return saturated_signed_sub(a, b); }
+KFR_INTRINSIC u32avx512 satsub(const u32avx512& a, const u32avx512& b)
+{
+    return saturated_unsigned_sub(a, b);
+}
+KFR_INTRINSIC u64avx512 satsub(const u64avx512& a, const u64avx512& b)
+{
+    return saturated_unsigned_sub(a, b);
+}
+#endif
+
+KFR_HANDLE_ALL_SIZES_2(satadd)
+KFR_HANDLE_ALL_SIZES_2(satsub)
+
+#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC u8neon satadd(const u8neon& x, const u8neon& y) { return vqaddq_u8(x.v, y.v); }
+KFR_INTRINSIC i8neon satadd(const i8neon& x, const i8neon& y) { return vqaddq_s8(x.v, y.v); }
+KFR_INTRINSIC u16neon satadd(const u16neon& x, const u16neon& y) { return vqaddq_u16(x.v, y.v); }
+KFR_INTRINSIC i16neon satadd(const i16neon& x, const i16neon& y) { return vqaddq_s16(x.v, y.v); }
+KFR_INTRINSIC u32neon satadd(const u32neon& a, const u32neon& b) { return vqaddq_u32(a.v, b.v); }
+KFR_INTRINSIC i32neon satadd(const i32neon& a, const i32neon& b) { return vqaddq_s32(a.v, b.v); }
+KFR_INTRINSIC u64neon satadd(const u64neon& a, const u64neon& b) { return vqaddq_u64(a.v, b.v); }
+KFR_INTRINSIC i64neon satadd(const i64neon& a, const i64neon& b) { return vqaddq_s64(a.v, b.v); }
+
+KFR_INTRINSIC u8neon satsub(const u8neon& x, const u8neon& y) { return vqsubq_u8(x.v, y.v); }
+KFR_INTRINSIC i8neon satsub(const i8neon& x, const i8neon& y) { return vqsubq_s8(x.v, y.v); }
+KFR_INTRINSIC u16neon satsub(const u16neon& x, const u16neon& y) { return vqsubq_u16(x.v, y.v); }
+KFR_INTRINSIC i16neon satsub(const i16neon& x, const i16neon& y) { return vqsubq_s16(x.v, y.v); }
+KFR_INTRINSIC u32neon satsub(const u32neon& a, const u32neon& b) { return vqsubq_u32(a.v, b.v); }
+KFR_INTRINSIC i32neon satsub(const i32neon& a, const i32neon& b) { return vqsubq_s32(a.v, b.v); }
+KFR_INTRINSIC u64neon satsub(const u64neon& a, const u64neon& b) { return vqsubq_u64(a.v, b.v); }
+KFR_INTRINSIC i64neon satsub(const i64neon& a, const i64neon& b) { return vqsubq_s64(a.v, b.v); }
+
+KFR_HANDLE_ALL_SIZES_2(satadd)
+KFR_HANDLE_ALL_SIZES_2(satsub)
+
+#else
+// fallback
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_signed_v<T>)>
+KFR_INTRINSIC vec<T, N> satadd(const vec<T, N>& a, const vec<T, N>& b)
+{
+    return saturated_signed_add(a, b);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_unsigned_v<T>)>
+KFR_INTRINSIC vec<T, N> satadd(const vec<T, N>& a, const vec<T, N>& b)
+{
+    return saturated_unsigned_add(a, b);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_signed_v<T>)>
+KFR_INTRINSIC vec<T, N> satsub(const vec<T, N>& a, const vec<T, N>& b)
+{
+    return saturated_signed_sub(a, b);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(std::is_unsigned_v<T>)>
+KFR_INTRINSIC vec<T, N> satsub(const vec<T, N>& a, const vec<T, N>& b)
+{
+    return saturated_unsigned_sub(a, b);
+}
+#endif
+KFR_HANDLE_SCALAR(satadd)
+KFR_HANDLE_SCALAR(satsub)
+} // namespace intrinsics
+KFR_I_FN(satadd)
+KFR_I_FN(satsub)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/select.hpp b/include/kfr/simd/impl/select.hpp
@@ -0,0 +1,331 @@
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "../operators.hpp"
+#include "function.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+namespace intrinsics
+{
+
+#if defined CMT_ARCH_SSE41 && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC u8sse select(const mu8sse& m, const u8sse& x, const u8sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u16sse select(const mu16sse& m, const u16sse& x, const u16sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u32sse select(const mu32sse& m, const u32sse& x, const u32sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u64sse select(const mu64sse& m, const u64sse& x, const u64sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i8sse select(const mi8sse& m, const i8sse& x, const i8sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i16sse select(const mi16sse& m, const i16sse& x, const i16sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i32sse select(const mi32sse& m, const i32sse& x, const i32sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i64sse select(const mi64sse& m, const i64sse& x, const i64sse& y)
+{
+    return _mm_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC f32sse select(const mf32sse& m, const f32sse& x, const f32sse& y)
+{
+    return _mm_blendv_ps(y.v, x.v, m.v);
+}
+KFR_INTRINSIC f64sse select(const mf64sse& m, const f64sse& x, const f64sse& y)
+{
+    return _mm_blendv_pd(y.v, x.v, m.v);
+}
+
+#if defined CMT_ARCH_AVX
+KFR_INTRINSIC f64avx select(const mf64avx& m, const f64avx& x, const f64avx& y)
+{
+    return _mm256_blendv_pd(y.v, x.v, m.v);
+}
+KFR_INTRINSIC f32avx select(const mf32avx& m, const f32avx& x, const f32avx& y)
+{
+    return _mm256_blendv_ps(y.v, x.v, m.v);
+}
+#endif
+
+#if defined CMT_ARCH_AVX2
+KFR_INTRINSIC u8avx select(const mu8avx& m, const u8avx& x, const u8avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u16avx select(const mu16avx& m, const u16avx& x, const u16avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u32avx select(const mu32avx& m, const u32avx& x, const u32avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC u64avx select(const mu64avx& m, const u64avx& x, const u64avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i8avx select(const mi8avx& m, const i8avx& x, const i8avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i16avx select(const mi16avx& m, const i16avx& x, const i16avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i32avx select(const mi32avx& m, const i32avx& x, const i32avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+KFR_INTRINSIC i64avx select(const mi64avx& m, const i64avx& x, const i64avx& y)
+{
+    return _mm256_blendv_epi8(y.v, x.v, m.v);
+}
+#endif
+
+#if defined CMT_ARCH_AVX512
+KFR_INTRINSIC f64avx512 select(const mf64avx512& m, const f64avx512& x, const f64avx512& y)
+{
+    return _mm512_mask_blend_pd(_mm512_movepi64_mask(_mm512_castpd_si512(m.v)), y.v, x.v);
+}
+KFR_INTRINSIC f32avx512 select(const mf32avx512& m, const f32avx512& x, const f32avx512& y)
+{
+    return _mm512_mask_blend_ps(_mm512_movepi32_mask(_mm512_castps_si512(m.v)), y.v, x.v);
+}
+KFR_INTRINSIC u8avx512 select(const mu8avx512& m, const u8avx512& x, const u8avx512& y)
+{
+    return _mm512_mask_blend_epi8(_mm512_movepi8_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC u16avx512 select(const mu16avx512& m, const u16avx512& x, const u16avx512& y)
+{
+    return _mm512_mask_blend_epi16(_mm512_movepi16_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC u32avx512 select(const mu32avx512& m, const u32avx512& x, const u32avx512& y)
+{
+    return _mm512_mask_blend_epi32(_mm512_movepi32_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC u64avx512 select(const mu64avx512& m, const u64avx512& x, const u64avx512& y)
+{
+    return _mm512_mask_blend_epi64(_mm512_movepi64_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC i8avx512 select(const mi8avx512& m, const i8avx512& x, const i8avx512& y)
+{
+    return _mm512_mask_blend_epi8(_mm512_movepi8_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC i16avx512 select(const mi16avx512& m, const i16avx512& x, const i16avx512& y)
+{
+    return _mm512_mask_blend_epi16(_mm512_movepi16_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC i32avx512 select(const mi32avx512& m, const i32avx512& x, const i32avx512& y)
+{
+    return _mm512_mask_blend_epi32(_mm512_movepi32_mask(m.v), y.v, x.v);
+}
+KFR_INTRINSIC i64avx512 select(const mi64avx512& m, const i64avx512& x, const i64avx512& y)
+{
+    return _mm512_mask_blend_epi64(_mm512_movepi64_mask(m.v), y.v, x.v);
+}
+#endif
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
+{
+    constexpr size_t Nout = next_simd_width<T>(N);
+    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), c.shuffle(csizeseq<Nout>))
+        .shuffle(csizeseq<N>);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
+{
+    return concat(select(low(a), low(b), low(c)), select(high(a), high(b), high(c)));
+    //    return concat2(select(a.h.low, b.h.low, c.h.low), select(a.h.high, b.h.high, c.h.high));
+}
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const T& c)
+{
+    constexpr size_t Nout = next_simd_width<T>(N);
+    return select(a.shuffle(csizeseq<Nout>), vec<T, Nout>(b), vec<T, Nout>(c)).shuffle(csizeseq<N>);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const T& c)
+{
+    return concat2(select(a.h.low, b, c), select(a.h.high, b, c));
+}
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const T& c)
+{
+    constexpr size_t Nout = next_simd_width<T>(N);
+    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), vec<T, Nout>(c)).shuffle(csizeseq<N>);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const T& c)
+{
+    return concat2(select(a.h.low, b.h.low, c), select(a.h.high, b.h.high, c));
+}
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const vec<T, N>& c)
+{
+    constexpr size_t Nout = next_simd_width<T>(N);
+    return select(shufflevector(a, csizeseq<Nout>), vec<T, Nout>(b), c.shuffle(csizeseq<Nout>))
+        .shuffle(csizeseq<N>);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const T& b, const vec<T, N>& c)
+{
+    return concat2(select(a.h.low, b, c.h.low), select(a.h.high, b, c.h.high));
+}
+
+#elif defined CMT_ARCH_NEON && defined KFR_NATIVE_INTRINSICS
+
+KFR_INTRINSIC f32neon select(const mf32neon& m, const f32neon& x, const f32neon& y)
+{
+    return vbslq_f32(m.v, x.v, y.v);
+}
+KFR_INTRINSIC i8neon select(const mi8neon& m, const i8neon& x, const i8neon& y)
+{
+    return vbslq_s8(m.v, x.v, y.v);
+}
+KFR_INTRINSIC u8neon select(const mu8neon& m, const u8neon& x, const u8neon& y)
+{
+    return vbslq_u8(m.v, x.v, y.v);
+}
+KFR_INTRINSIC i16neon select(const mi16neon& m, const i16neon& x, const i16neon& y)
+{
+    return vbslq_s16(m.v, x.v, y.v);
+}
+KFR_INTRINSIC u16neon select(const mu16neon& m, const u16neon& x, const u16neon& y)
+{
+    return vbslq_u16(m.v, x.v, y.v);
+}
+KFR_INTRINSIC i32neon select(const mi32neon& m, const i32neon& x, const i32neon& y)
+{
+    return vbslq_s32(m.v, x.v, y.v);
+}
+KFR_INTRINSIC u32neon select(const mu32neon& m, const u32neon& x, const u32neon& y)
+{
+    return vbslq_u32(m.v, x.v, y.v);
+}
+KFR_INTRINSIC i64neon select(const mi64neon& m, const i64neon& x, const i64neon& y)
+{
+    return vbslq_s64(m.v, x.v, y.v);
+}
+KFR_INTRINSIC u64neon select(const mu64neon& m, const u64neon& x, const u64neon& y)
+{
+    return vbslq_u64(m.v, x.v, y.v);
+}
+
+#ifdef CMT_ARCH_NEON64
+KFR_INTRINSIC f64neon select(const mf64neon& m, const f64neon& x, const f64neon& y)
+{
+    return vbslq_f64(m.v, x.v, y.v);
+}
+#else
+KFR_INTRINSIC f64neon select(const mf64neon& m, const f64neon& x, const f64neon& y)
+{
+    return y ^ ((x ^ y) & m.asvec());
+}
+#endif
+
+template <typename T, size_t N, KFR_ENABLE_IF(N < vector_width<T> && !is_simd_size<T>(N))>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
+{
+    constexpr size_t Nout = next_simd_width<T>(N);
+    return select(a.shuffle(csizeseq<Nout>), b.shuffle(csizeseq<Nout>), c.shuffle(csizeseq<Nout>))
+        .shuffle(csizeseq<N>);
+}
+template <typename T, size_t N, KFR_ENABLE_IF(N > vector_width<T>), typename = void>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& a, const vec<T, N>& b, const vec<T, N>& c)
+{
+    return concat2(select(a.h.low, b.h.low, c.h.low), select(a.h.high, b.h.high, c.h.high));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const T& y)
+{
+    return select(m, vec<T, N>(x), vec<T, N>(y));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const T& y)
+{
+    return select(m, x, vec<T, N>(y));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const vec<T, N>& y)
+{
+    return select(m, vec<T, N>(x), y);
+}
+
+#else
+
+// fallback
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const vec<T, N>& y)
+{
+    return y ^ ((x ^ y) & m.asvec());
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const T& y)
+{
+    return select(m, vec<T, N>(x), vec<T, N>(y));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const vec<T, N>& x, const T& y)
+{
+    return select(m, x, vec<T, N>(y));
+}
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> select(const vec<bit<T>, N>& m, const T& x, const vec<T, N>& y)
+{
+    return select(m, vec<T, N>(x), y);
+}
+#endif
+template <typename T1, typename T2>
+KFR_INTRINSIC std::common_type_t<T1, T2> select(bool m, const T1& x, const T2& y)
+{
+    return m ? x : y;
+}
+
+} // namespace intrinsics
+KFR_I_FN(select)
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/impl/simd.hpp b/include/kfr/simd/impl/simd.hpp
@@ -118,4 +118,21 @@ struct simd_halves
 
 } // namespace intrinsics
 } // namespace CMT_ARCH_NAME
+
+#define KFR_COMPONENTWISE_RET(code)                                                                          \
+    vec<T, N> result;                                                                                        \
+    for (size_t i = 0; i < N; i++)                                                                           \
+        code;                                                                                                \
+    return result;
+
+#define KFR_COMPONENTWISE_RET_I(Tvec, code)                                                                  \
+    Tvec result;                                                                                             \
+    for (size_t i = 0; i < result.size(); i++)                                                               \
+        code;                                                                                                \
+    return result;
+
+#define KFR_COMPONENTWISE(code)                                                                              \
+    for (size_t i = 0; i < N; i++)                                                                           \
+        code;
+
 } // namespace kfr
diff --git a/include/kfr/simd/impl/specializations.i b/include/kfr/simd/impl/specializations.hpp
diff --git a/include/kfr/math/logical.hpp b/include/kfr/simd/logical.hpp
diff --git a/include/kfr/simd/min_max.hpp b/include/kfr/simd/min_max.hpp
@@ -0,0 +1,75 @@
+/** @addtogroup basic_math
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/min_max.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/**
+ * @brief Returns the smaller of two values.
+ */
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout min(const T1& x, const T2& y)
+{
+    return intrinsics::min(x, y);
+}
+
+/**
+ * @brief Returns the greater of two values.
+ */
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout max(const T1& x, const T2& y)
+{
+    return intrinsics::max(x, y);
+}
+
+/**
+ * @brief Returns the smaller in magnitude of two values.
+ */
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout absmin(const T1& x, const T2& y)
+{
+    return intrinsics::absmin(x, y);
+}
+
+/**
+ * @brief Returns the greater in magnitude of two values.
+ */
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout absmax(const T1& x, const T2& y)
+{
+    return intrinsics::absmax(x, y);
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/operators.hpp b/include/kfr/simd/operators.hpp
@@ -36,39 +36,42 @@ inline namespace CMT_ARCH_NAME
 {
 
 #define KFR_VEC_OPERATOR1(op, fn)                                                                            \
-    template <typename T, size_t N>                                                                          \
+    template <typename T, size_t N /* , KFR_ENABLE_IF(!is_vec<T>) */>                                        \
     constexpr KFR_INTRINSIC vec<T, N> operator op(const vec<T, N>& x)                                        \
     {                                                                                                        \
         return intrinsics::fn(x);                                                                            \
     }
 
 #define KFR_VEC_OPERATOR2(op, asgnop, fn)                                                                    \
-    template <typename T1, typename T2, size_t N>                                                            \
+    template <typename T1, typename T2, size_t N, KFR_ENABLE_IF(vec_rank<T1> == vec_rank<T2>)>               \
     constexpr KFR_INTRINSIC vec<T1, N>& operator asgnop(vec<T1, N>& x, const vec<T2, N>& y)                  \
     {                                                                                                        \
-        x = intrinsics::fn(x, elemcast<T1>(y));                                                              \
+        x = intrinsics::fn(x, promoteto<T1>(y));                                                             \
         return x;                                                                                            \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N>                                                            \
+    template <typename T1, typename T2, size_t N, KFR_ENABLE_IF(1 + vec_rank<T1> > vec_rank<T2>)>            \
     constexpr KFR_INTRINSIC vec<T1, N>& operator asgnop(vec<T1, N>& x, const T2& y)                          \
     {                                                                                                        \
         x = intrinsics::fn(x, T1(y));                                                                        \
         return x;                                                                                            \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(1 + vec_rank<T1> > vec_rank<T2>)>                                                \
     constexpr KFR_INTRINSIC vec<C, N> operator op(const vec<T1, N>& x, const T2& y)                          \
     {                                                                                                        \
-        return intrinsics::fn(elemcast<C>(x), C(y));                                                         \
+        return intrinsics::fn(promoteto<C>(x), C(y));                                                        \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(vec_rank<T1> < 1 + vec_rank<T2>)>                                                \
     constexpr KFR_INTRINSIC vec<C, N> operator op(const T1& x, const vec<T2, N>& y)                          \
     {                                                                                                        \
-        return intrinsics::fn(C(x), elemcast<C>(y));                                                         \
+        return intrinsics::fn(C(x), promoteto<C>(y));                                                        \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(vec_rank<T1> == vec_rank<T2>)>                                                   \
     constexpr KFR_INTRINSIC vec<C, N> operator op(const vec<T1, N>& x, const vec<T2, N>& y)                  \
     {                                                                                                        \
-        return intrinsics::fn(elemcast<C>(x), elemcast<C>(y));                                               \
+        return intrinsics::fn(promoteto<C>(x), promoteto<C>(y));                                             \
     }
 
 #define KFR_VEC_SHIFT_OPERATOR(op, asgnop, fn)                                                               \
@@ -78,43 +81,46 @@ inline namespace CMT_ARCH_NAME
         x = intrinsics::fn(x, y);                                                                            \
         return x;                                                                                            \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N>                                                            \
+    template <typename T1, typename T2, size_t N, KFR_ENABLE_IF(vec_rank<T1> == vec_rank<T2>)>               \
     constexpr KFR_INTRINSIC vec<T1, N>& operator asgnop(vec<T1, N>& x, const vec<T2, N>& y)                  \
     {                                                                                                        \
-        x = intrinsics::fn(x, elemcast<utype<T1>>(y));                                                       \
+        x = intrinsics::fn(x, promoteto<utype<T1>>(y));                                                      \
         return x;                                                                                            \
     }                                                                                                        \
-    template <typename T, size_t N>                                                                          \
-    constexpr KFR_INTRINSIC vec<T, N> operator op(const vec<T, N>& x, unsigned y)                            \
+    template <typename T1, size_t N>                                                                         \
+    constexpr KFR_INTRINSIC vec<T1, N> operator op(const vec<T1, N>& x, unsigned y)                          \
     {                                                                                                        \
         return intrinsics::fn(x, y);                                                                         \
     }                                                                                                        \
-    template <typename T, typename T2, size_t N>                                                             \
-    constexpr KFR_INTRINSIC vec<T, N> operator op(const T& x, const vec<T2, N>& y)                           \
+    template <typename T1, typename T2, size_t N, KFR_ENABLE_IF(vec_rank<T1> < 1 + vec_rank<T2>)>            \
+    constexpr KFR_INTRINSIC vec<T1, N> operator op(const T1& x, const vec<T2, N>& y)                         \
     {                                                                                                        \
-        return intrinsics::fn(innercast<T>(x), elemcast<utype<T>>(y));                                       \
+        return intrinsics::fn(broadcastto<T1>(x), promoteto<utype<T1>>(y));                                  \
     }                                                                                                        \
-    template <typename T, typename T2, size_t N>                                                             \
-    constexpr KFR_INTRINSIC vec<T, N> operator op(const vec<T, N>& x, const vec<T2, N>& y)                   \
+    template <typename T1, typename T2, size_t N, KFR_ENABLE_IF(vec_rank<T1> == vec_rank<T2>)>               \
+    constexpr KFR_INTRINSIC vec<T1, N> operator op(const vec<T1, N>& x, const vec<T2, N>& y)                 \
     {                                                                                                        \
-        return intrinsics::fn(x, elemcast<utype<T>>(y));                                                     \
+        return intrinsics::fn(x, promoteto<utype<T1>>(y));                                                   \
     }
 
 #define KFR_VEC_CMP_OPERATOR(op, fn)                                                                         \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(1 + vec_rank<T1> > vec_rank<T2>)>                                                \
     constexpr KFR_INTRINSIC mask<C, N> operator op(const vec<T1, N>& x, const T2& y)                         \
     {                                                                                                        \
-        return intrinsics::fn(elemcast<C>(x), vec<C, N>(y)).asmask();                                        \
+        return intrinsics::fn(promoteto<C>(x), vec<C, N>(y)).asmask();                                       \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(vec_rank<T1> < 1 + vec_rank<T2>)>                                                \
     constexpr KFR_INTRINSIC mask<C, N> operator op(const T1& x, const vec<T2, N>& y)                         \
     {                                                                                                        \
-        return intrinsics::fn(vec<C, N>(x), elemcast<C>(y)).asmask();                                        \
+        return intrinsics::fn(vec<C, N>(x), promoteto<C>(y)).asmask();                                       \
     }                                                                                                        \
-    template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>>                          \
+    template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,                   \
+              KFR_ENABLE_IF(vec_rank<T1> == vec_rank<T2>)>                                                   \
     constexpr KFR_INTRINSIC mask<C, N> operator op(const vec<T1, N>& x, const vec<T2, N>& y)                 \
     {                                                                                                        \
-        return intrinsics::fn(elemcast<C>(x), elemcast<C>(y)).asmask();                                      \
+        return intrinsics::fn(promoteto<C>(x), promoteto<C>(y)).asmask();                                    \
     }
 
 KFR_VEC_OPERATOR1(-, neg)
@@ -124,6 +130,7 @@ KFR_VEC_OPERATOR2(+, +=, add)
 KFR_VEC_OPERATOR2(-, -=, sub)
 KFR_VEC_OPERATOR2(*, *=, mul)
 KFR_VEC_OPERATOR2(/, /=, div)
+KFR_VEC_OPERATOR2(%, %=, mod)
 
 KFR_VEC_OPERATOR2(&, &=, band)
 KFR_VEC_OPERATOR2(|, |=, bor)
@@ -138,31 +145,31 @@ KFR_VEC_CMP_OPERATOR(<=, le)
 KFR_VEC_CMP_OPERATOR(>, gt)
 KFR_VEC_CMP_OPERATOR(<, lt)
 
-template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>,
+template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(sizeof(T1) == sizeof(T2))>
-KFR_INTRINSIC mask<C, N> operator&(const mask<T1, N>& x, const mask<T2, N>& y)CMT_NOEXCEPT
+KFR_INTRINSIC mask<C, N> operator&(const mask<T1, N>& x, const mask<T2, N>& y) CMT_NOEXCEPT
 {
     return mask<C, N>((bitcast<C>(vec<T1, N>(x.v)) & bitcast<C>(vec<T2, N>(y.v))).v);
 }
-template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>,
+template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(sizeof(T1) == sizeof(T2))>
 KFR_INTRINSIC mask<C, N> operator|(const mask<T1, N>& x, const mask<T2, N>& y) CMT_NOEXCEPT
 {
     return mask<C, N>((bitcast<C>(vec<T1, N>(x.v)) | bitcast<C>(vec<T2, N>(y.v))).v);
 }
-template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>,
+template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(sizeof(T1) == sizeof(T2))>
 KFR_INTRINSIC mask<C, N> operator&&(const mask<T1, N>& x, const mask<T2, N>& y) CMT_NOEXCEPT
 {
     return mask<C, N>((bitcast<C>(vec<T1, N>(x.v)) & bitcast<C>(vec<T2, N>(y.v))).v);
 }
-template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>,
+template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(sizeof(T1) == sizeof(T2))>
 KFR_INTRINSIC mask<C, N> operator||(const mask<T1, N>& x, const mask<T2, N>& y) CMT_NOEXCEPT
 {
     return mask<C, N>((bitcast<C>(vec<T1, N>(x.v)) | bitcast<C>(vec<T2, N>(y.v))).v);
 }
-template <typename T1, typename T2, size_t N, typename C = common_type<T1, T2>,
+template <typename T1, typename T2, size_t N, typename C = std::common_type_t<T1, T2>,
           KFR_ENABLE_IF(sizeof(T1) == sizeof(T2))>
 KFR_INTRINSIC mask<C, N> operator^(const mask<T1, N>& x, const mask<T2, N>& y) CMT_NOEXCEPT
 {
@@ -201,7 +208,7 @@ KFR_FN(bitwisenot)
 
 /// @brief Bitwise And
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> bitwiseand(const T1& x, const T2& y)
+KFR_INTRINSIC std::common_type_t<T1, T2> bitwiseand(const T1& x, const T2& y)
 {
     return x & y;
 }
@@ -214,7 +221,7 @@ KFR_FN(bitwiseand)
 
 /// @brief Bitwise And-Not
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> bitwiseandnot(const T1& x, const T2& y)
+KFR_INTRINSIC std::common_type_t<T1, T2> bitwiseandnot(const T1& x, const T2& y)
 {
     return x & ~y;
 }
@@ -227,7 +234,7 @@ KFR_FN(bitwiseandnot)
 
 /// @brief Bitwise Or
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> bitwiseor(const T1& x, const T2& y)
+KFR_INTRINSIC std::common_type_t<T1, T2> bitwiseor(const T1& x, const T2& y)
 {
     return x | y;
 }
@@ -240,7 +247,7 @@ KFR_FN(bitwiseor)
 
 /// @brief Bitwise Xor (Exclusive Or)
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> bitwisexor(const T1& x, const T2& y)
+KFR_INTRINSIC std::common_type_t<T1, T2> bitwisexor(const T1& x, const T2& y)
 {
     return x ^ y;
 }
@@ -293,7 +300,7 @@ constexpr KFR_INTRINSIC T add(const T& x)
  * @brief Returns sum of all the arguments passed to a function.
  */
 template <typename T1, typename T2, typename... Ts, KFR_ENABLE_IF(is_numeric_args<T1, T2, Ts...>)>
-constexpr KFR_INTRINSIC common_type<T1, T2, Ts...> add(const T1& x, const T2& y, const Ts&... rest)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2, Ts...> add(const T1& x, const T2& y, const Ts&... rest)
 {
     return x + add(y, rest...);
 }
@@ -304,17 +311,8 @@ constexpr KFR_INTRINSIC T add(initialvalue<T>)
 }
 KFR_FN(add)
 
-/**
- * @brief Returns template expression that returns sum of all the arguments passed to a function.
- */
-template <typename... E, KFR_ENABLE_IF((is_input_expressions<E...>)&&true)>
-KFR_INTRINSIC internal::expression_function<fn::add, E...> add(E&&... x)
-{
-    return { fn::add(), std::forward<E>(x)... };
-}
-
 template <typename T1, typename T2>
-constexpr KFR_INTRINSIC common_type<T1, T2> sub(const T1& x, const T2& y)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2> sub(const T1& x, const T2& y)
 {
     return x - y;
 }
@@ -325,12 +323,6 @@ constexpr KFR_INTRINSIC T sub(initialvalue<T>)
 }
 KFR_FN(sub)
 
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::sub, E1, E2> sub(E1&& x, E2&& y)
-{
-    return { fn::sub(), std::forward<E1>(x), std::forward<E2>(y) };
-}
-
 template <typename T1>
 constexpr KFR_INTRINSIC T1 mul(const T1& x)
 {
@@ -341,7 +333,7 @@ constexpr KFR_INTRINSIC T1 mul(const T1& x)
  * @brief Returns product of all the arguments passed to a function.
  */
 template <typename T1, typename T2, typename... Ts>
-constexpr KFR_INTRINSIC common_type<T1, T2, Ts...> mul(const T1& x, const T2& y, const Ts&... rest)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2, Ts...> mul(const T1& x, const T2& y, const Ts&... rest)
 {
     return x * mul(y, rest...);
 }
@@ -354,15 +346,6 @@ constexpr KFR_INTRINSIC T mul(initialvalue<T>)
 KFR_FN(mul)
 
 /**
- * @brief Returns template expression that returns product of all the arguments passed to a function.
- */
-template <typename... E, KFR_ENABLE_IF(is_input_expressions<E...>)>
-KFR_INTRINSIC internal::expression_function<fn::mul, E...> mul(E&&... x)
-{
-    return { fn::mul(), std::forward<E>(x)... };
-}
-
-/**
  * @brief Returns square of x.
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -373,15 +356,6 @@ constexpr inline T1 sqr(const T1& x)
 KFR_FN(sqr)
 
 /**
- * @brief Returns template expression that returns square of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::sqr, E1> sqr(E1&& x)
-{
-    return { fn::sqr(), std::forward<E1>(x) };
-}
-
-/**
  * @brief Returns cube of x.
  */
 template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
@@ -391,15 +365,6 @@ constexpr inline T1 cub(const T1& x)
 }
 KFR_FN(cub)
 
-/**
- * @brief Returns template expression that returns cube of x.
- */
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::cub, E1> cub(E1&& x)
-{
-    return { fn::cub(), std::forward<E1>(x) };
-}
-
 template <typename T, KFR_ENABLE_IF(is_numeric_args<T>)>
 constexpr KFR_INTRINSIC T pow2(const T& x)
 {
@@ -428,27 +393,6 @@ KFR_FN(pow3)
 KFR_FN(pow4)
 KFR_FN(pow5)
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::pow2, E1> pow2(E1&& x)
-{
-    return { fn::pow2(), std::forward<E1>(x) };
-}
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::pow3, E1> pow3(E1&& x)
-{
-    return { fn::pow3(), std::forward<E1>(x) };
-}
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::pow4, E1> pow4(E1&& x)
-{
-    return { fn::pow4(), std::forward<E1>(x) };
-}
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::pow5, E1> pow5(E1&& x)
-{
-    return { fn::pow5(), std::forward<E1>(x) };
-}
-
 /// Raise x to the power base \f$ x^{base} \f$
 /// @code
 /// CHECK( ipow( 10, 3 ) == 1000 );
@@ -470,24 +414,18 @@ constexpr inline T ipow(const T& x, int base)
 }
 KFR_FN(ipow)
 
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::ipow, E1, E2> ipow(E1&& x, E2&& b)
-{
-    return { fn::ipow(), std::forward<E1>(x), std::forward<E2>(b) };
-}
-
 /// Return square of the sum of all arguments
 /// @code
 /// CHECK(sqrsum(1,2,3) == 36);
 /// @endcode
 template <typename T1, typename... Ts>
-constexpr inline common_type<T1, Ts...> sqrsum(const T1& x, const Ts&... rest)
+constexpr inline std::common_type_t<T1, Ts...> sqrsum(const T1& x, const Ts&... rest)
 {
     return sqr(add(x, rest...));
 }
 
 template <typename T1, typename T2>
-constexpr inline common_type<T1, T2> sqrdiff(const T1& x, const T2& y)
+constexpr inline std::common_type_t<T1, T2> sqrdiff(const T1& x, const T2& y)
 {
     return sqr(x - y);
 }
@@ -495,15 +433,22 @@ KFR_FN(sqrsum)
 KFR_FN(sqrdiff)
 
 /// Division
-template <typename T1, typename T2, typename Tout = common_type<T1, T2>>
+template <typename T1, typename T2, typename Tout = std::common_type_t<T1, T2>>
 KFR_INTRINSIC Tout div(const T1& x, const T2& y)
 {
     return static_cast<Tout>(x) / static_cast<Tout>(y);
 }
 KFR_FN(div)
 
+/// Modulo
+template <typename T1, typename T2, typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout mod(const T1& x, const T2& y)
+{
+    return static_cast<Tout>(x) % static_cast<Tout>(y);
+}
+KFR_FN(mod)
 /// Remainder
-template <typename T1, typename T2, typename Tout = common_type<T1, T2>>
+template <typename T1, typename T2, typename Tout = std::common_type_t<T1, T2>>
 KFR_INTRINSIC Tout rem(const T1& x, const T2& y)
 {
     return static_cast<Tout>(x) % static_cast<Tout>(y);
@@ -520,13 +465,13 @@ KFR_FN(neg)
 
 /// @brief Fused Multiply-Add
 template <typename T1, typename T2, typename T3>
-KFR_INTRINSIC constexpr common_type<T1, T2, T3> fmadd(const T1& x, const T2& y, const T3& z)
+KFR_INTRINSIC constexpr std::common_type_t<T1, T2, T3> fmadd(const T1& x, const T2& y, const T3& z)
 {
     return x * y + z;
 }
 /// @brief Fused Multiply-Sub
 template <typename T1, typename T2, typename T3>
-KFR_INTRINSIC constexpr common_type<T1, T2, T3> fmsub(const T1& x, const T2& y, const T3& z)
+KFR_INTRINSIC constexpr std::common_type_t<T1, T2, T3> fmsub(const T1& x, const T2& y, const T3& z)
 {
     return x * y - z;
 }
@@ -536,71 +481,59 @@ KFR_FN(fmsub)
 /// @brief Linear blend of `x` and `y` (`c` must be in the range 0...+1)
 /// Returns `x + ( y - x ) * c`
 template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>)>
-KFR_INTRINSIC constexpr common_type<T1, T2, T3> mix(const T1& c, const T2& x, const T3& y)
+KFR_INTRINSIC constexpr std::common_type_t<T1, T2, T3> mix(const T1& c, const T2& x, const T3& y)
 {
     return fmadd(c, y - x, x);
 }
 
 /// @brief Linear blend of `x` and `y` (`c` must be in the range -1...+1)
 template <typename T1, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>)>
-KFR_INTRINSIC constexpr common_type<T1, T2, T3> mixs(const T1& c, const T2& x, const T3& y)
+KFR_INTRINSIC constexpr std::common_type_t<T1, T2, T3> mixs(const T1& c, const T2& x, const T3& y)
 {
     return mix(fmadd(c, 0.5, 0.5), x, y);
 }
 KFR_FN(mix)
 KFR_FN(mixs)
 
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_INTRINSIC internal::expression_function<fn::mix, E1, E2, E3> mix(E1&& c, E2&& x, E3&& y)
-{
-    return { fn::mix(), std::forward<E1>(c), std::forward<E2>(x), std::forward<E3>(y) };
-}
-
-template <typename E1, typename E2, typename E3, KFR_ENABLE_IF(is_input_expressions<E1, E2, E3>)>
-KFR_INTRINSIC internal::expression_function<fn::mixs, E1, E2, E3> mixs(E1&& c, E2&& x, E3&& y)
-{
-    return { fn::mixs(), std::forward<E1>(c), std::forward<E2>(x), std::forward<E3>(y) };
-}
-
 namespace intrinsics
 {
 
 template <typename T1, typename T2>
-constexpr KFR_INTRINSIC common_type<T1, T2> horner(const T1&, const T2& c0)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2> horner(const T1&, const T2& c0)
 {
     return c0;
 }
 
 template <typename T1, typename T2, typename T3, typename... Ts>
-constexpr KFR_INTRINSIC common_type<T1, T2, T3, Ts...> horner(const T1& x, const T2& c0, const T3& c1,
-                                                              const Ts&... values)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2, T3, Ts...> horner(const T1& x, const T2& c0, const T3& c1,
+                                                                     const Ts&... values)
 {
     return fmadd(horner(x, c1, values...), x, c0);
 }
 
 template <typename T1, typename T2>
-constexpr KFR_INTRINSIC common_type<T1, T2> horner_even(const T1&, const T2& c0)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2> horner_even(const T1&, const T2& c0)
 {
     return c0;
 }
 
 template <typename T1, typename T2, typename T3, typename... Ts>
-constexpr KFR_INTRINSIC common_type<T1, T2, T3, Ts...> horner_even(const T1& x, const T2& c0, const T3& c2,
-                                                                   const Ts&... values)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2, T3, Ts...> horner_even(const T1& x, const T2& c0,
+                                                                          const T3& c2, const Ts&... values)
 {
     const T1 x2 = x * x;
     return fmadd(horner(x2, c2, values...), x2, c0);
 }
 
 template <typename T1, typename T2>
-constexpr KFR_INTRINSIC common_type<T1, T2> horner_odd(const T1& x, const T2& c1)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2> horner_odd(const T1& x, const T2& c1)
 {
     return c1 * x;
 }
 
 template <typename T1, typename T2, typename T3, typename... Ts>
-constexpr KFR_INTRINSIC common_type<T1, T2, T3, Ts...> horner_odd(const T1& x, const T2& c1, const T3& c3,
-                                                                  const Ts&... values)
+constexpr KFR_INTRINSIC std::common_type_t<T1, T2, T3, Ts...> horner_odd(const T1& x, const T2& c1,
+                                                                         const T3& c3, const Ts&... values)
 {
     const T1 x2 = x * x;
     return fmadd(horner(x2, c3, values...), x2, c1) * x;
@@ -611,62 +544,44 @@ constexpr KFR_INTRINSIC common_type<T1, T2, T3, Ts...> horner_odd(const T1& x, c
 ///
 /// ``horner(x, 1, 2, 3)`` is equivalent to \(3x^2 + 2x + 1\)
 template <typename T1, typename... Ts, KFR_ENABLE_IF(is_numeric_args<T1, Ts...>)>
-constexpr KFR_INTRINSIC common_type<T1, Ts...> horner(const T1& x, const Ts&... c)
+constexpr KFR_INTRINSIC std::common_type_t<T1, Ts...> horner(const T1& x, const Ts&... c)
 {
     return intrinsics::horner(x, c...);
 }
 KFR_FN(horner)
 
-template <typename... E, KFR_ENABLE_IF(is_input_expressions<E...>)>
-KFR_INTRINSIC internal::expression_function<fn::horner, E...> horner(E&&... x)
-{
-    return { fn::horner(), std::forward<E>(x)... };
-}
-
 /// @brief Calculate polynomial using Horner's method (even powers)
 ///
 /// ``horner_even(x, 1, 2, 3)`` is equivalent to \(3x^4 + 2x^2 + 1\)
 template <typename T1, typename... Ts, KFR_ENABLE_IF(is_numeric_args<T1, Ts...>)>
-constexpr KFR_INTRINSIC common_type<T1, Ts...> horner_even(const T1& x, const Ts&... c)
+constexpr KFR_INTRINSIC std::common_type_t<T1, Ts...> horner_even(const T1& x, const Ts&... c)
 {
     return intrinsics::horner_even(x, c...);
 }
 KFR_FN(horner_even)
 
-template <typename... E, KFR_ENABLE_IF(is_input_expressions<E...>)>
-KFR_INTRINSIC internal::expression_function<fn::horner_even, E...> horner_even(E&&... x)
-{
-    return { fn::horner_even(), std::forward<E>(x)... };
-}
-
 /// @brief Calculate polynomial using Horner's method (odd powers)
 ///
 /// ``horner_odd(x, 1, 2, 3)`` is equivalent to \(3x^5 + 2x^3 + 1x\)
 template <typename T1, typename... Ts, KFR_ENABLE_IF(is_numeric_args<T1, Ts...>)>
-constexpr KFR_INTRINSIC common_type<T1, Ts...> horner_odd(const T1& x, const Ts&... c)
+constexpr KFR_INTRINSIC std::common_type_t<T1, Ts...> horner_odd(const T1& x, const Ts&... c)
 {
     return intrinsics::horner_odd(x, c...);
 }
 KFR_FN(horner_odd)
 
-template <typename... E, KFR_ENABLE_IF(is_input_expressions<E...>)>
-KFR_INTRINSIC internal::expression_function<fn::horner_odd, E...> horner_odd(E&&... x)
-{
-    return { fn::horner_odd(), std::forward<E>(x)... };
-}
-
 /// @brief Calculate Multiplicative Inverse of `x`
 /// Returns `1/x`
 template <typename T>
 constexpr KFR_INTRINSIC T reciprocal(const T& x)
 {
-    static_assert(is_floating_point<subtype<T>>, "T must be floating point type");
+    static_assert(std::is_floating_point_v<subtype<T>>, "T must be floating point type");
     return subtype<T>(1) / x;
 }
 KFR_FN(reciprocal)
 
 template <typename T1, typename T2>
-KFR_INTRINSIC common_type<T1, T2> mulsign(const T1& x, const T2& y)
+KFR_INTRINSIC std::common_type_t<T1, T2> mulsign(const T1& x, const T2& y)
 {
     return bitwisexor(x, bitwiseand(y, special_constants<T2>::highbitmask()));
 }
@@ -725,72 +640,6 @@ KFR_INTRINSIC vec<T, N> negodd(const vec<T, N>& x)
     return x ^ broadcast<N>(T(), -T());
 }
 
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::neg, E1> operator-(E1&& e1)
-{
-    return { fn::neg(), std::forward<E1>(e1) };
-}
-
-template <typename E1, KFR_ENABLE_IF(is_input_expression<E1>)>
-KFR_INTRINSIC internal::expression_function<fn::bitwisenot, E1> operator~(E1&& e1)
-{
-    return { fn::bitwisenot(), std::forward<E1>(e1) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::add, E1, E2> operator+(E1&& e1, E2&& e2)
-{
-    return { fn::add(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::sub, E1, E2> operator-(E1&& e1, E2&& e2)
-{
-    return { fn::sub(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::mul, E1, E2> operator*(E1&& e1, E2&& e2)
-{
-    return { fn::mul(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::div, E1, E2> operator/(E1&& e1, E2&& e2)
-{
-    return { fn::div(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::bitwiseand, E1, E2> operator&(E1&& e1, E2&& e2)
-{
-    return { fn::bitwiseand(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::bitwiseor, E1, E2> operator|(E1&& e1, E2&& e2)
-{
-    return { fn::bitwiseor(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::bitwisexor, E1, E2> operator^(E1&& e1, E2&& e2)
-{
-    return { fn::bitwisexor(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::shl, E1, E2> operator<<(E1&& e1, E2&& e2)
-{
-    return { fn::shl(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
-template <typename E1, typename E2, KFR_ENABLE_IF(is_input_expressions<E1, E2>)>
-KFR_INTRINSIC internal::expression_function<fn::shr, E1, E2> operator>>(E1&& e1, E2&& e2)
-{
-    return { fn::shr(), std::forward<E1>(e1), std::forward<E2>(e2) };
-}
-
 template <typename T, size_t N1, size_t... Ns>
 vec<vec<T, sizeof...(Ns) + 1>, N1> packtranspose(const vec<T, N1>& x, const vec<T, Ns>&... rest)
 {
diff --git a/include/kfr/simd/platform.hpp b/include/kfr/simd/platform.hpp
@@ -103,7 +103,7 @@ CMT_UNUSED static const char* cpu_name(cpu_t set)
 #ifdef CMT_ARCH_ARM
     static const char* names[] = { "generic", "neon", "neon64" };
 #endif
-    if (set >= cpu_t::lowest && set <= cpu_t::highest)
+    if (CMT_LIKELY(set >= cpu_t::lowest && set <= cpu_t::highest))
         return names[static_cast<size_t>(set)];
     return "-";
 }
@@ -271,7 +271,7 @@ constexpr static size_t minimum_vector_width =
 template <typename T>
 constexpr static size_t vector_capacity = platform<>::simd_register_count* vector_width<T>;
 
-#ifdef CMT_COMPILER_MSVC
+#ifdef CMT_COMPILER_IS_MSVC
 template <typename T>
 constexpr static size_t maximum_vector_size = const_min(static_cast<size_t>(32), vector_width<T> * 2);
 #else
diff --git a/include/kfr/simd/read_write.hpp b/include/kfr/simd/read_write.hpp
@@ -26,6 +26,7 @@
 #pragma once
 
 #include "impl/read_write.hpp"
+#include <array>
 
 namespace kfr
 {
@@ -95,9 +96,9 @@ KFR_INTRINSIC vec<T, Nout * groupsize> gather_stride(const T* base, size_t strid
     if constexpr (Nout > 2)
     {
         constexpr size_t Nlow = prev_poweroftwo(Nout - 1);
-        return concat(
-            internal::gather_stride_s<Nlow, groupsize>(base, stride, csizeseq<Nlow>),
-            internal::gather_stride_s<Nout - Nlow, groupsize>(base + Nlow * stride, stride, csizeseq<Nout - Nlow>));
+        return concat(internal::gather_stride_s<Nlow, groupsize>(base, stride, csizeseq<Nlow>),
+                      internal::gather_stride_s<Nout - Nlow, groupsize>(base + Nlow * stride, stride,
+                                                                        csizeseq<Nout - Nlow>));
     }
     else
         return internal::gather_stride_s<Nout, groupsize>(base, stride, csizeseq<Nout>);
@@ -117,7 +118,7 @@ KFR_INTRINSIC vec<T, N * groupsize> gather_helper(const T* base, const vec<IT, N
 {
     return concat(read<groupsize>(base + groupsize * offset[Indices])...);
 }
-}
+} // namespace internal
 template <size_t groupsize = 1, typename T, size_t N, typename IT>
 KFR_INTRINSIC vec<T, N * groupsize> gather(const T* base, const vec<IT, N>& offset)
 {
@@ -185,6 +186,12 @@ struct stride_pointer<const T, groupsize>
     }
 };
 
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> to_vec(const std::array<T, N>& a)
+{
+    return read<N>(a.data());
+}
+
 template <typename T>
 constexpr T partial_masks[] = { constants<T>::allones(),
                                 constants<T>::allones(),
diff --git a/include/kfr/simd/round.hpp b/include/kfr/simd/round.hpp
@@ -0,0 +1,108 @@
+/** @addtogroup round
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/round.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/// @brief Returns the largest integer value not greater than x
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 floor(const T1& x)
+{
+    return intrinsics::floor(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 ceil(const T1& x)
+{
+    return intrinsics::ceil(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 round(const T1& x)
+{
+    return intrinsics::round(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 trunc(const T1& x)
+{
+    return intrinsics::trunc(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC T1 fract(const T1& x)
+{
+    return intrinsics::fract(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC itype<T1> ifloor(const T1& x)
+{
+    return intrinsics::ifloor(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC itype<T1> iceil(const T1& x)
+{
+    return intrinsics::iceil(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC itype<T1> iround(const T1& x)
+{
+    return intrinsics::iround(x);
+}
+
+template <typename T1, KFR_ENABLE_IF(is_numeric<T1>)>
+KFR_INTRINSIC itype<T1> itrunc(const T1& x)
+{
+    return intrinsics::itrunc(x);
+}
+
+template <typename T, KFR_ENABLE_IF(is_f_class<T>)>
+KFR_INTRINSIC T fmod(const T& x, const T& y)
+{
+    return x - trunc(x / y) * y;
+}
+KFR_FN(fmod)
+
+template <typename T, size_t N, KFR_ENABLE_IF(!is_f_class<T>)>
+constexpr KFR_INTRINSIC vec<T, N> rem(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return x % y;
+}
+template <typename T, size_t N, KFR_ENABLE_IF(is_f_class<T>)>
+KFR_INTRINSIC vec<T, N> rem(const vec<T, N>& x, const vec<T, N>& y)
+{
+    return fmod(x, y);
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/saturation.hpp b/include/kfr/simd/saturation.hpp
@@ -0,0 +1,51 @@
+/** @addtogroup saturation
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/saturation.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/// @brief Adds two arguments using saturation
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout satadd(const T1& x, const T2& y)
+{
+    return intrinsics::satadd(x, y);
+}
+
+/// @brief Subtracts two arguments using saturation
+template <typename T1, typename T2, KFR_ENABLE_IF(is_numeric_args<T1, T2>),
+          typename Tout = std::common_type_t<T1, T2>>
+KFR_INTRINSIC Tout satsub(const T1& x, const T2& y)
+{
+    return intrinsics::satsub(x, y);
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/select.hpp b/include/kfr/simd/select.hpp
@@ -0,0 +1,49 @@
+/** @addtogroup basic_math
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "impl/select.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/**
+ * @brief Returns x if m is true, otherwise return y. Order of the arguments is same as in ternary operator.
+ * @code
+ * return m ? x : y
+ * @endcode
+ */
+template <typename T1, size_t N, typename T2, typename T3, KFR_ENABLE_IF(is_numeric_args<T1, T2, T3>),
+          typename Tout = subtype<std::common_type_t<T2, T3>>>
+KFR_INTRINSIC vec<Tout, N> select(const mask<T1, N>& m, const T2& x, const T3& y)
+{
+    return intrinsics::select(bitcast<Tout>(cast<itype<Tout>>(bitcast<itype<T1>>(m.asvec()))).asmask(),
+                              broadcastto<Tout>(x), broadcastto<Tout>(y));
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/shuffle.hpp b/include/kfr/simd/shuffle.hpp
@@ -32,6 +32,9 @@
 #include <tuple>
 #include <utility>
 
+CMT_PRAGMA_MSVC(warning(push))
+CMT_PRAGMA_MSVC(warning(disable : 5051))
+
 namespace kfr
 {
 
@@ -130,6 +133,14 @@ KFR_INTRINSIC vec<T, N + Ncount> padhigh(const vec<T, N>& x)
 {
     return x.shuffle(csizeseq<N + Ncount>);
 }
+template <size_t Ncount, typename T, size_t N>
+KFR_INTRINSIC vec<T, N + Ncount> padhigh(const vec<T, N>& x, identity<T> newvalue)
+{
+    if constexpr (Ncount == 0)
+        return x;
+    else
+        return concat(x, broadcast<Ncount, T>(newvalue));
+}
 KFR_FN(padhigh)
 
 template <size_t Ncount, typename T, size_t N>
@@ -137,6 +148,14 @@ KFR_INTRINSIC vec<T, N + Ncount> padlow(const vec<T, N>& x)
 {
     return x.shuffle(csizeseq<N + Ncount, 0 - Ncount>);
 }
+template <size_t Ncount, typename T, size_t N>
+KFR_INTRINSIC vec<T, N + Ncount> padlow(const vec<T, N>& x, identity<T> newvalue)
+{
+    if constexpr (Ncount == 0)
+        return x;
+    else
+        return concat(broadcast<Ncount, T>(newvalue), x);
+}
 KFR_FN(padlow)
 
 template <size_t Nout, typename T>
@@ -566,6 +585,33 @@ constexpr KFR_INTRINSIC vec<T, N> enumerate(vec_shape<T, N>)
 {
     return generate_vector<T, N, internal::generate_index<start, stride>>();
 }
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> enumerate(vec_shape<T, N> sh, identity<T> step)
+{
+    if constexpr (N == 1)
+    {
+        return czeros;
+    }
+    else if constexpr (!is_poweroftwo(N))
+    {
+        return slice<0, N>(enumerate(vec_shape<T, next_poweroftwo(N)>{}, step));
+    }
+    else
+    {
+        vec<T, N> vv = step;
+        vec<T, N> zz(czeros);
+
+        vec<T, N> acc = blend(zz, vv, csizeseq<N> % csize<2>);
+        cfor(csize<0>, csize<ilog2(N) - 1>,
+             [&](auto idx) CMT_INLINE_LAMBDA
+             {
+                 vv = vv + vv;
+                 acc += blend(zz, vv, csizeseq<N> / (csize<2 << (idx)>) % csize<2>);
+             });
+        return acc;
+    }
+}
+
 KFR_FN(enumerate)
 
 template <typename T, size_t N, size_t start = 0, size_t size = 1, int on = 1, int off = 0>
@@ -584,4 +630,6 @@ KFR_FN(onoff)
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
 #define KFR_SHUFFLE_SPECIALIZATIONS 1
-#include "impl/specializations.i"
+#include "impl/specializations.hpp"
+
+CMT_PRAGMA_MSVC(warning(pop))
diff --git a/include/kfr/simd/sort.hpp b/include/kfr/simd/sort.hpp
@@ -0,0 +1,103 @@
+/** @addtogroup sort
+ *  @{
+ */
+/*
+  Copyright (C) 2016-2022 Fractalium Ltd (https://www.kfrlib.com)
+  This file is part of KFR
+
+  KFR is free software: you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation, either version 2 of the License, or
+  (at your option) any later version.
+
+  KFR is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with KFR.
+
+  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
+  Buying a commercial license is mandatory as soon as you develop commercial activities without
+  disclosing the source code of your own applications.
+  See https://www.kfrlib.com for details.
+ */
+#pragma once
+
+#include "min_max.hpp"
+#include "shuffle.hpp"
+#include "vec.hpp"
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+/**
+ * @brief Sort the elements in the vector in ascending order
+ * @param x input vector
+ * @return sorted vector
+ * @code
+ * CHECK(sort(make_vector(1000, 1, 2, -10)) == make_vector(-10, 1, 2, 1000));
+ * @endcode
+ */
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> sort(const vec<T, N>& x)
+{
+    constexpr size_t Nhalf = N / 2;
+    vec<T, Nhalf> e        = low(x);
+    vec<T, Nhalf> o        = high(x);
+    constexpr auto blend0  = cconcat(csizes<1>, csizeseq<Nhalf - 1, 0, 0>);
+    for (size_t i = 0; i < Nhalf; i++)
+    {
+        vec<T, Nhalf> t;
+        t = min(e, o);
+        o = max(e, o);
+        o = rotateright<1>(o);
+        e = t;
+        t = max(e, o);
+        o = min(e, o);
+        e = t;
+        t = blend(e, o, blend0);
+        o = blend(o, e, blend0);
+        o = rotateleft<1>(o);
+        e = t;
+    }
+    return interleavehalves(concat(e, o));
+}
+
+/**
+ * @brief Sort the elements in the vector in descending order
+ * @param x input vector
+ * @return sorted vector
+ * @code
+ * CHECK(sort(make_vector(1000, 1, 2, -10)) == make_vector(1000, 2, 1, -10));
+ * @endcode
+ */
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> sortdesc(const vec<T, N>& x)
+{
+    constexpr size_t Nhalf = N / 2;
+    vec<T, Nhalf> e        = low(x);
+    vec<T, Nhalf> o        = high(x);
+    constexpr auto blend0  = cconcat(csizes<1>, csizeseq<Nhalf - 1, 0, 0>);
+    for (size_t i = 0; i < Nhalf; i++)
+    {
+        vec<T, Nhalf> t;
+        t = max(e, o);
+        o = min(e, o);
+        o = rotateright<1>(o);
+        e = t;
+        t = min(e, o);
+        o = max(e, o);
+        e = t;
+        t = blend(e, o, blend0);
+        o = blend(o, e, blend0);
+        o = rotateleft<1>(o);
+        e = t;
+    }
+    return interleavehalves(concat(e, o));
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/include/kfr/simd/types.hpp b/include/kfr/simd/types.hpp
@@ -57,80 +57,19 @@ using namespace cometa;
 using cometa::fbase;
 using cometa::fmax;
 
-// primary template (used for zero types)
 template <typename... T>
-struct common_type_impl
-{
-};
-
-template <typename... T>
-using decay_common = decay<common_type_impl<T...>>;
-
-template <typename T1, typename T2, template <typename TT> class result_type, typename = void>
-struct common_type_from_subtypes
-{
-};
-
-template <typename T1, typename T2, template <typename TT> class result_type>
-struct common_type_from_subtypes<T1, T2, result_type, void_t<typename common_type_impl<T1, T2>::type>>
-{
-    using type = result_type<typename common_type_impl<T1, T2>::type>;
-};
-
-template <typename T>
-struct common_type_impl<T>
-{
-    using type = decay<T>;
-};
-
-template <typename T1, typename T2>
-using common_for_two = decltype(false ? std::declval<T1>() : std::declval<T2>());
-
-template <typename T1, typename T2, typename = void>
-struct common_type_2_default
-{
-};
-
-template <typename T1, typename T2>
-struct common_type_2_default<T1, T2, void_t<common_for_two<T1, T2>>>
-{
-    using type = std::decay_t<common_for_two<T1, T2>>;
-};
+using decay_common = std::decay_t<std::common_type_t<T...>>;
 
-template <typename T1, typename T2, typename D1 = decay<T1>, typename D2 = decay<T2>>
-struct common_type_2_impl : common_type_impl<D1, D2>
+template <typename CT, template <typename T> typename Tpl, typename = void>
+struct construct_common_type
 {
 };
-
-template <typename D1, typename D2>
-struct common_type_2_impl<D1, D2, D1, D2> : common_type_2_default<D1, D2>
-{
-};
-
-template <typename T1, typename T2>
-struct common_type_impl<T1, T2> : common_type_2_impl<T1, T2>
+template <typename CT, template <typename T> typename Tpl>
+struct construct_common_type<CT, Tpl, std::void_t<typename CT::type>>
 {
+    using type = Tpl<typename CT::type>;
 };
 
-template <typename AlwaysVoid, typename T1, typename T2, typename... R>
-struct common_type_multi_impl
-{
-};
-
-template <typename T1, typename T2, typename... R>
-struct common_type_multi_impl<void_t<typename common_type_impl<T1, T2>::type>, T1, T2, R...>
-    : common_type_impl<typename common_type_impl<T1, T2>::type, R...>
-{
-};
-
-template <typename T1, typename T2, typename... R>
-struct common_type_impl<T1, T2, R...> : common_type_multi_impl<void, T1, T2, R...>
-{
-};
-
-template <typename... T>
-using common_type = typename common_type_impl<T...>::type;
-
 constexpr ctypes_t<i8, i16, i32, i64> signed_types{};
 constexpr ctypes_t<u8, u16, u32, u64> unsigned_types{};
 constexpr ctypes_t<i8, i16, i32, i64, u8, u16, u32, u64> integer_types{};
@@ -248,8 +187,9 @@ struct f16
 template <size_t bits>
 struct bitmask
 {
-    using type = conditional<(bits > 32), uint64_t,
-                             conditional<(bits > 16), uint32_t, conditional<(bits > 8), uint16_t, uint8_t>>>;
+    using type = std::conditional_t<
+        (bits > 32), uint64_t,
+        std::conditional_t<(bits > 16), uint32_t, std::conditional_t<(bits > 8), uint16_t, uint8_t>>>;
 
     bitmask(type val) : value(val) {}
 
@@ -401,12 +341,27 @@ struct initialvalue
 
 template <typename T>
 constexpr inline bool is_simd_type =
-    is_same<T, float> || is_same<T, double> || is_same<T, signed char> || is_same<T, unsigned char> ||
-    is_same<T, short> || is_same<T, unsigned short> || is_same<T, int> || is_same<T, unsigned int> ||
-    is_same<T, long> || is_same<T, unsigned long> || is_same<T, long long> || is_same<T, unsigned long long>;
+    std::is_same_v<T, float> || std::is_same_v<T, double> || std::is_same_v<T, signed char> ||
+    std::is_same_v<T, unsigned char> || std::is_same_v<T, short> || std::is_same_v<T, unsigned short> ||
+    std::is_same_v<T, int> || std::is_same_v<T, unsigned int> || std::is_same_v<T, long> ||
+    std::is_same_v<T, unsigned long> || std::is_same_v<T, long long> || std::is_same_v<T, unsigned long long>;
+
+template <typename T>
+constexpr inline bool is_simd_float_type = std::is_same_v<T, float> || std::is_same_v<T, double>;
+
+template <typename T>
+constexpr inline bool is_simd_int_type =
+    std::is_same_v<T, signed char> || std::is_same_v<T, unsigned char> || std::is_same_v<T, short> ||
+    std::is_same_v<T, unsigned short> || std::is_same_v<T, int> || std::is_same_v<T, unsigned int> ||
+    std::is_same_v<T, long> || std::is_same_v<T, unsigned long> || std::is_same_v<T, long long> ||
+    std::is_same_v<T, unsigned long long>;
 
 template <typename T>
 constexpr inline bool is_simd_type<bit<T>> = is_simd_type<T>;
+template <typename T>
+constexpr inline bool is_simd_float_type<bit<T>> = is_simd_float_type<T>;
+template <typename T>
+constexpr inline bool is_simd_int_type<bit<T>> = is_simd_int_type<T>;
 
 template <typename T, size_t N>
 struct vec_shape
diff --git a/include/kfr/simd/vec.hpp b/include/kfr/simd/vec.hpp
@@ -25,6 +25,7 @@
  */
 #pragma once
 
+#include "../cometa/string.hpp"
 #include "../version.hpp"
 #include "constants.hpp"
 #include "impl/backend.hpp"
@@ -88,14 +89,20 @@ CMT_PRAGMA_MSVC(warning(disable : 4814))
 namespace kfr
 {
 
-inline namespace CMT_ARCH_NAME
-{
-
 template <typename T, size_t N>
 struct alignas(next_poweroftwo(sizeof(T)) * next_poweroftwo(N)) portable_vec
 {
     static constexpr vec_shape<T, N> shape() CMT_NOEXCEPT { return {}; }
 
+    constexpr portable_vec() = default;
+
+    constexpr portable_vec(T value) : portable_vec(csizeseq<N>, value) {}
+
+    template <typename... Ts, size_t NN = N, KFR_ENABLE_IF(NN >= 2)>
+    constexpr portable_vec(T v1, T v2, Ts... args) : elem{ v1, v2, static_cast<T>(args)... }
+    {
+    }
+
     static_assert(N > 0 && N <= 1024, "Invalid vector size");
 
     static_assert(is_simd_type<T> || !compound_type_traits<T>::is_scalar, "Invalid vector type");
@@ -106,11 +113,30 @@ struct alignas(next_poweroftwo(sizeof(T)) * next_poweroftwo(N)) portable_vec
     constexpr static size_t size() CMT_NOEXCEPT { return N; }
 
     T elem[N];
+
+    constexpr T operator[](size_t index) const { return elem[index]; }
+    constexpr T& operator[](size_t index) { return elem[index]; }
+    constexpr T front() const { return elem[0]; }
+    constexpr T& front() { return elem[0]; }
+    constexpr T back() const { return elem[N - 1]; }
+    constexpr T& back() { return elem[N - 1]; }
+
+private:
+    template <size_t... indices>
+    constexpr portable_vec(csizes_t<indices...>, T value) : elem{ (static_cast<void>(indices), value)... }
+    {
+    }
 };
 
+inline namespace CMT_ARCH_NAME
+{
+
 template <typename T, size_t N>
 struct vec;
 
+template <typename T>
+constexpr inline size_t vec_rank = 0;
+
 template <typename T, size_t N>
 struct vec_halves
 {
@@ -126,12 +152,22 @@ struct vec_halves<T, 1>
 
 namespace internal
 {
+enum class conv_t
+{
+    promote,
+    broadcast,
+};
 
 // scalar to scalar
-template <typename To, typename From>
+template <size_t ToRank, size_t FromRank, typename To, typename From, conv_t conv>
 struct conversion
 {
-    static_assert(is_convertible<From, To>, "");
+};
+
+template <typename To, typename From, conv_t conv>
+struct conversion<0, 0, To, From, conv>
+{
+    static_assert(std::is_convertible_v<From, To>);
 
     static To cast(const From& value) { return value; }
 };
@@ -160,14 +196,6 @@ struct compoundcast<vec<vec<T, N1>, N2>>
     static vec<vec<T, N1>, N2> from_flat(const vec<T, N1 * N2>& x) { return x.v; }
 };
 
-template <typename T, size_t N1, size_t N2, size_t N3>
-struct compoundcast<vec<vec<vec<T, N1>, N2>, N3>>
-{
-    static vec<T, N1 * N2 * N3> to_flat(const vec<vec<vec<T, N1>, N2>, N3>& x) { return x.v; }
-
-    static vec<vec<vec<T, N1>, N2>, N3> from_flat(const vec<T, N1 * N2 * N3>& x) { return x.v; }
-};
-
 template <typename T, size_t N_>
 inline constexpr size_t vec_alignment =
     const_max(alignof(intrinsics::simd<typename compound_type_traits<T>::deep_subtype,
@@ -207,10 +235,10 @@ struct alignas(internal::vec_alignment<T, N_>) vec
 
     using simd_type    = intrinsics::simd<ST, SN>;
     using uvalue_type  = utype<T>;
-    using iuvalue_type = conditional<is_i_class<T>, T, uvalue_type>;
+    using iuvalue_type = std::conditional_t<is_i_class<T>, T, uvalue_type>;
 
     using uscalar_type  = utype<ST>;
-    using iuscalar_type = conditional<is_i_class<ST>, ST, uscalar_type>;
+    using iuscalar_type = std::conditional_t<is_i_class<ST>, ST, uscalar_type>;
 
     using usimd_type  = intrinsics::simd<uscalar_type, SN>;
     using iusimd_type = intrinsics::simd<iuscalar_type, SN>;
@@ -221,7 +249,7 @@ struct alignas(internal::vec_alignment<T, N_>) vec
     // default
     KFR_MEM_INTRINSIC constexpr vec() CMT_NOEXCEPT {}
 
-#if defined(_MSC_VER) && !defined (__clang__)
+#if defined(_MSC_VER) && !defined(__clang__)
     // MSVC Internal Compiler Error workaround
     // copy
     KFR_MEM_INTRINSIC constexpr vec(const vec& value) CMT_NOEXCEPT : v(value.v) {}
@@ -251,14 +279,16 @@ struct alignas(internal::vec_alignment<T, N_>) vec
 #endif
 
     // from scalar
-    template <typename U, KFR_ENABLE_IF(is_convertible<U, value_type>&& compound_type_traits<T>::is_scalar)>
+    template <typename U,
+              KFR_ENABLE_IF(std::is_convertible_v<U, value_type>&& compound_type_traits<T>::is_scalar)>
     KFR_MEM_INTRINSIC vec(const U& s) CMT_NOEXCEPT
         : v(intrinsics::simd_broadcast(intrinsics::simd_t<unwrap_bit<ST>, SN>{},
                                        static_cast<unwrap_bit<ST>>(static_cast<ST>(s))))
     {
     }
 
-    template <typename U, KFR_ENABLE_IF(is_convertible<U, value_type> && !compound_type_traits<T>::is_scalar)>
+    template <typename U,
+              KFR_ENABLE_IF(std::is_convertible_v<U, value_type> && !compound_type_traits<T>::is_scalar)>
     KFR_MEM_INTRINSIC vec(const U& s) CMT_NOEXCEPT
         : v(intrinsics::simd_shuffle(intrinsics::simd_t<unwrap_bit<ST>, SW>{},
                                      internal::compoundcast<T>::to_flat(static_cast<T>(s)).v,
@@ -282,7 +312,7 @@ struct alignas(internal::vec_alignment<T, N_>) vec
     }
 
     // from vector of another type
-    template <typename U, KFR_ENABLE_IF(is_convertible<U, value_type> &&
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, value_type> &&
                                         (compound_type_traits<T>::is_scalar && !is_bit<U>))>
     KFR_MEM_INTRINSIC vec(const vec<U, N>& x) CMT_NOEXCEPT
         : v(intrinsics::simd_convert(
@@ -290,15 +320,28 @@ struct alignas(internal::vec_alignment<T, N_>) vec
     {
     }
 
-    template <typename U, KFR_ENABLE_IF(is_convertible<U, value_type> &&
+    // from lambda
+    template <typename Fn, KFR_ENABLE_IF(std::is_invocable_r_v<T, Fn, size_t>)>
+    KFR_MEM_INTRINSIC vec(Fn&& fn) CMT_NOEXCEPT
+    {
+        for (size_t i = 0; i < N; ++i)
+        {
+            auto v = fn(i);
+            set(i, v);
+        }
+    }
+
+    template <typename U, KFR_ENABLE_IF(std::is_convertible_v<U, value_type> &&
                                         !(compound_type_traits<T>::is_scalar && !is_bit<U>))>
     KFR_MEM_INTRINSIC vec(const vec<U, N>& x) CMT_NOEXCEPT
-        : v(internal::conversion<vec<T, N>, vec<U, N>>::cast(x).v)
+        : v(internal::conversion<vec_rank<T> + 1, vec_rank<U> + 1, vec<T, N>, vec<U, N>,
+                                 internal::conv_t::promote>::cast(x)
+                .v)
     {
     }
 
     // from list of vectors
-    template <size_t... Ns, typename = enable_if<csum<size_t, Ns...>() == N>>
+    template <size_t... Ns, typename = std::enable_if_t<csum<size_t, Ns...>() == N>>
     KFR_MEM_INTRINSIC vec(const vec<T, Ns>&... vs) CMT_NOEXCEPT
         : v(intrinsics::simd_concat<ST, (SW * Ns)...>(vs.v...))
     {
@@ -347,9 +390,17 @@ struct alignas(internal::vec_alignment<T, N_>) vec
 
     KFR_MEM_INTRINSIC constexpr element operator[](size_t index) & CMT_NOEXCEPT { return { *this, index }; }
 
-    KFR_MEM_INTRINSIC value_type front() const CMT_NOEXCEPT { return get(csize<0>); }
+    KFR_MEM_INTRINSIC value_type front() const& CMT_NOEXCEPT { return get(csize<0>); }
+
+    KFR_MEM_INTRINSIC value_type back() const& CMT_NOEXCEPT { return get(csize<N - 1>); }
+
+    KFR_MEM_INTRINSIC value_type front() && CMT_NOEXCEPT { return get(csize<0>); }
 
-    KFR_MEM_INTRINSIC value_type back() const CMT_NOEXCEPT { return get(csize<N - 1>); }
+    KFR_MEM_INTRINSIC value_type back() && CMT_NOEXCEPT { return get(csize<N - 1>); }
+
+    KFR_MEM_INTRINSIC element front() & CMT_NOEXCEPT { return { *this, 0 }; }
+
+    KFR_MEM_INTRINSIC element back() & CMT_NOEXCEPT { return { *this, N - 1 }; }
 
     template <int dummy = 0, KFR_ENABLE_IF(dummy == 0 && compound_type_traits<T>::is_scalar)>
     KFR_MEM_INTRINSIC constexpr value_type get(size_t index) const CMT_NOEXCEPT
@@ -361,7 +412,8 @@ struct alignas(internal::vec_alignment<T, N_>) vec
               KFR_ENABLE_IF(dummy == 0 && !compound_type_traits<T>::is_scalar)>
     KFR_MEM_INTRINSIC constexpr value_type get(size_t index) const CMT_NOEXCEPT
     {
-        union {
+        union
+        {
             simd_type v;
             T s[N];
         } u{ this->v };
@@ -397,7 +449,8 @@ struct alignas(internal::vec_alignment<T, N_>) vec
     template <int dummy = 0, KFR_ENABLE_IF(dummy == 0 && !compound_type_traits<T>::is_scalar)>
     KFR_MEM_INTRINSIC constexpr void set(size_t index, const value_type& s) CMT_NOEXCEPT
     {
-        union {
+        union
+        {
             simd_type v;
             T s[N];
         } u{ this->v };
@@ -428,6 +481,49 @@ struct alignas(internal::vec_alignment<T, N_>) vec
             return *this;
         }
 
+        KFR_MEM_INTRINSIC element& operator+=(const value_type& s) CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) + s);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC element& operator-=(const value_type& s) CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) - s);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC element& operator*=(const value_type& s) CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) * s);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC element& operator/=(const value_type& s) CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) / s);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC element& operator++() CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) + 1);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC element& operator--() CMT_NOEXCEPT
+        {
+            v.set(index, v.get(index) - 1);
+            return *this;
+        }
+        KFR_MEM_INTRINSIC value_type operator++(int) CMT_NOEXCEPT
+        {
+            value_type val = v.get(index) + 1;
+            v.set(index, val);
+            return val;
+        }
+        KFR_MEM_INTRINSIC value_type operator--(int) CMT_NOEXCEPT
+        {
+            value_type val = v.get(index) - 1;
+            v.set(index, val);
+            return val;
+        }
+
         KFR_MEM_INTRINSIC element& operator=(const element& s) CMT_NOEXCEPT
         {
             v.set(index, static_cast<value_type>(s));
@@ -470,7 +566,8 @@ struct alignas(internal::vec_alignment<T, N_>) vec
     using simd_element_type                    = simd<ST, simd_element_size>;
 
 public:
-    union {
+    union
+    {
         simd_type v;
         vec_halves<T, N> h;
         // simd_element_type w[simd_element_count];
@@ -478,8 +575,11 @@ public:
     };
 };
 
+template <typename... T>
+vec(T&&...) -> vec<std::common_type_t<T...>, sizeof...(T)>;
+
 template <typename T>
-constexpr inline bool is_vec_element = is_simd_type<deep_subtype<remove_const<T>>>;
+constexpr inline bool is_vec_element = is_simd_type<deep_subtype<std::remove_const_t<T>>>;
 
 template <typename T, size_t N, size_t... indices>
 KFR_INTRINSIC vec<T, sizeof...(indices)> shufflevector(const vec<T, N>& x,
@@ -533,21 +633,21 @@ constexpr KFR_INTRINSIC vec<To, N> builtin_convertvector(const vec<From, N>& val
 }
 
 // vector to vector
-template <typename To, typename From, size_t N, size_t N2>
-struct conversion<vec<To, N>, vec<From, N2>>
+template <typename To, typename From, size_t N, size_t N2, conv_t conv>
+struct conversion<1, 1, vec<To, N>, vec<From, N2>, conv>
 {
     static_assert(N == N2, "");
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
 
     static vec<To, N> cast(const vec<From, N>& value) { return vec<To, N>(value); }
 };
 
 // scalar to vector
-template <typename To, typename From, size_t N>
-struct conversion<vec<To, N>, From>
+template <typename To, typename From, size_t N, conv_t conv>
+struct conversion<1, 0, vec<To, N>, From, conv>
 {
-    static_assert(is_convertible<From, To>, "");
+    static_assert(std::is_convertible_v<From, To>, "");
 
     static vec<To, N> cast(const From& value) { return broadcast<N>(static_cast<To>(value)); }
 };
@@ -573,123 +673,99 @@ constexpr KFR_INTRINSIC Tout cast(const From& value) CMT_NOEXCEPT
     return static_cast<Tout>(value);
 }
 
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
+template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(!std::is_same_v<Tin, Tout>)>
 constexpr KFR_INTRINSIC vec<Tout, N> cast(const vec<Tin, N>& value) CMT_NOEXCEPT
 {
     return vec<Tout, N>(value);
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
+template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(!std::is_same_v<Tin, Tout>)>
 constexpr KFR_INTRINSIC vec<vec<Tout, N1>, N2> cast(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
 {
     return vec<vec<Tout, N1>, N2>(value);
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, size_t N3, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<vec<vec<Tout, N1>, N2>, N3> cast(const vec<vec<vec<Tin, N1>, N2>, N3>& value)
-    CMT_NOEXCEPT
-{
-    return vec<vec<vec<Tout, N1>, N2>, N3>(value);
-}
-
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(is_same<Tin, Tout>)>
+template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(std::is_same_v<Tin, Tout>)>
 constexpr KFR_INTRINSIC const vec<Tin, N>& cast(const vec<Tin, N>& value) CMT_NOEXCEPT
 {
     return value;
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(is_same<Tin, Tout>)>
+template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(std::is_same_v<Tin, Tout>)>
 constexpr KFR_INTRINSIC const vec<vec<Tin, N1>, N2>& cast(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
 {
     return value;
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, size_t N3, KFR_ENABLE_IF(is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC const vec<vec<vec<Tin, N1>, N2>, N3>& cast(
-    const vec<vec<vec<Tin, N1>, N2>, N3>& value) CMT_NOEXCEPT
-{
-    return value;
-}
-
 //
 
 template <typename To, typename From,
           typename Tout = typename compound_type_traits<From>::template deep_rebind<To>>
-constexpr KFR_INTRINSIC Tout innercast(const From& value) CMT_NOEXCEPT
+constexpr KFR_INTRINSIC Tout broadcastto(const From& value) CMT_NOEXCEPT
 {
     return static_cast<Tout>(value);
 }
 
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<Tout, N> innercast(const vec<Tin, N>& value) CMT_NOEXCEPT
-{
-    return vec<Tout, N>(value);
-}
-
-template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<vec<Tout, N1>, N2> innercast(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
+template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(!std::is_same_v<Tin, Tout>)>
+constexpr KFR_INTRINSIC vec<Tout, N> broadcastto(const vec<Tin, N>& value) CMT_NOEXCEPT
 {
-    return vec<vec<Tout, N1>, N2>(value);
+    return internal::conversion<vec_rank<Tout> + 1, 1, vec<Tout, N>, vec<Tin, N>,
+                                internal::conv_t::broadcast>::cast(value);
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, size_t N3, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<vec<vec<Tout, N1>, N2>, N3> innercast(const vec<vec<vec<Tin, N1>, N2>, N3>& value)
-    CMT_NOEXCEPT
+template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(!std::is_same_v<Tin, Tout>)>
+constexpr KFR_INTRINSIC vec<vec<Tout, N1>, N2> broadcastto(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
 {
-    return vec<vec<vec<Tout, N1>, N2>, N3>(value);
+    return internal::conversion<vec_rank<Tout> + 2, 2, vec<vec<Tout, N1>, N2>, vec<vec<Tin, N1>, N2>,
+                                internal::conv_t::broadcast>::cast(value);
 }
 
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC const vec<Tin, N>& innercast(const vec<Tin, N>& value) CMT_NOEXCEPT
+template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(std::is_same_v<Tin, Tout>)>
+constexpr KFR_INTRINSIC const vec<Tin, N>& broadcastto(const vec<Tin, N>& value) CMT_NOEXCEPT
 {
     return value;
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC const vec<vec<Tin, N1>, N2>& innercast(const vec<vec<Tin, N1>, N2>& value)
+template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(std::is_same_v<Tin, Tout>)>
+constexpr KFR_INTRINSIC const vec<vec<Tin, N1>, N2>& broadcastto(const vec<vec<Tin, N1>, N2>& value)
     CMT_NOEXCEPT
 {
     return value;
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, size_t N3, KFR_ENABLE_IF(is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC const vec<vec<vec<Tin, N1>, N2>, N3>& innercast(
-    const vec<vec<vec<Tin, N1>, N2>, N3>& value) CMT_NOEXCEPT
-{
-    return value;
-}
-
 //
-
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<Tout, N> elemcast(const vec<Tin, N>& value) CMT_NOEXCEPT
-{
-    return vec<Tout, N>(value);
-}
-
-template <typename Tout, typename Tin, size_t N, KFR_ENABLE_IF(is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC const vec<Tin, N>& elemcast(const vec<Tin, N>& value) CMT_NOEXCEPT
+template <typename Tout, typename Tin>
+constexpr KFR_INTRINSIC Tout promoteto(const Tin& value) CMT_NOEXCEPT
 {
-    return value;
+    return static_cast<Tout>(value);
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<Tout, N2> elemcast(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
+template <typename Tout, typename Tin, size_t N>
+constexpr KFR_INTRINSIC vec<Tout, N> promoteto(const vec<Tin, N>& value) CMT_NOEXCEPT
 {
-    return vec<Tout, N2>(value);
+    if constexpr (std::is_same_v<Tin, Tout>)
+        return value;
+    else
+        return internal::conversion<vec_rank<Tout> + 1, 1, vec<Tout, N>, vec<Tin, N>,
+                                    internal::conv_t::promote>::cast(value);
 }
 
-template <typename Tout, typename Tin, size_t N1, size_t N2, size_t N3, KFR_ENABLE_IF(!is_same<Tin, Tout>)>
-constexpr KFR_INTRINSIC vec<Tout, N3> elemcast(const vec<vec<vec<Tin, N1>, N2>, N3>& value) CMT_NOEXCEPT
+template <typename Tout, typename Tin, size_t N1, size_t N2>
+constexpr KFR_INTRINSIC vec<Tout, N2> promoteto(const vec<vec<Tin, N1>, N2>& value) CMT_NOEXCEPT
 {
-    return vec<Tout, N3>(value);
+    if constexpr (std::is_same_v<Tin, Tout>)
+        return value;
+    else
+        return internal::conversion<vec_rank<Tout> + 1, 2, vec<Tout, N2>, vec<vec<Tin, N1>, N2>,
+                                    internal::conv_t::promote>::cast(value);
 }
 
 template <typename To, typename From>
 CMT_GNU_CONSTEXPR KFR_INTRINSIC To bitcast(const From& value) CMT_NOEXCEPT
 {
     static_assert(sizeof(From) == sizeof(To), "bitcast: Incompatible types");
-    union {
+    union
+    {
         From from;
         To to;
     } u{ value };
@@ -702,25 +778,25 @@ CMT_GNU_CONSTEXPR KFR_INTRINSIC vec<To, Nout> bitcast(const vec<From, N>& value)
     return vec<To, Nout>::frombits(value);
 }
 
-template <typename From, typename To = utype<From>, KFR_ENABLE_IF(!is_compound<From>)>
+template <typename From, typename To = utype<From>, KFR_ENABLE_IF(!is_compound_type<From>)>
 constexpr KFR_INTRINSIC To ubitcast(const From& value) CMT_NOEXCEPT
 {
     return bitcast<To>(value);
 }
 
-template <typename From, typename To = itype<From>, KFR_ENABLE_IF(!is_compound<From>)>
+template <typename From, typename To = itype<From>, KFR_ENABLE_IF(!is_compound_type<From>)>
 constexpr KFR_INTRINSIC To ibitcast(const From& value) CMT_NOEXCEPT
 {
     return bitcast<To>(value);
 }
 
-template <typename From, typename To = ftype<From>, KFR_ENABLE_IF(!is_compound<From>)>
+template <typename From, typename To = ftype<From>, KFR_ENABLE_IF(!is_compound_type<From>)>
 constexpr KFR_INTRINSIC To fbitcast(const From& value) CMT_NOEXCEPT
 {
     return bitcast<To>(value);
 }
 
-template <typename From, typename To = uitype<From>, KFR_ENABLE_IF(!is_compound<From>)>
+template <typename From, typename To = uitype<From>, KFR_ENABLE_IF(!is_compound_type<From>)>
 constexpr KFR_INTRINSIC To uibitcast(const From& value) CMT_NOEXCEPT
 {
     return bitcast<To>(value);
@@ -807,7 +883,7 @@ struct conditional_common;
 template <typename Tfallback, typename... Args>
 struct conditional_common<true, Tfallback, Args...>
 {
-    using type = common_type<Args...>;
+    using type = std::common_type_t<Args...>;
 };
 
 template <typename Tfallback, typename... Args>
@@ -824,7 +900,7 @@ struct conditional_common<false, Tfallback, Args...>
 /// @endcode
 template <typename Type = void, typename Arg, typename... Args, size_t N = (sizeof...(Args) + 1),
           typename SubType =
-              fix_type<typename internal::conditional_common<is_void<Type>, Type, Arg, Args...>::type>>
+              fix_type<typename internal::conditional_common<std::is_void_v<Type>, Type, Arg, Args...>::type>>
 constexpr KFR_INTRINSIC vec<SubType, N> make_vector(const Arg& x, const Args&... rest)
 {
     return internal::make_vector_impl<SubType>(cvalseq_t<size_t, N>(), static_cast<SubType>(x),
@@ -844,7 +920,8 @@ constexpr KFR_INTRINSIC vec<T, N> make_vector(cvals_t<T, Values...>)
 }
 
 template <typename Type = void, typename Arg, typename... Args, size_t N = (sizeof...(Args) + 1),
-          typename SubType = fix_type<conditional<is_void<Type>, common_type<Arg, Args...>, Type>>,
+          typename SubType =
+              fix_type<std::conditional_t<std::is_void_v<Type>, std::common_type_t<Arg, Args...>, Type>>,
           KFR_ENABLE_IF(is_number<subtype<SubType>>)>
 constexpr KFR_INTRINSIC vec<SubType, N> pack(const Arg& x, const Args&... rest)
 {
@@ -1011,14 +1088,14 @@ namespace internal
 {
 
 template <size_t Index, typename T, size_t N, typename Fn, typename... Args,
-          typename Tout = invoke_result<Fn, subtype<decay<Args>>...>>
+          typename Tout = std::invoke_result_t<Fn, subtype<std::decay_t<Args>>...>>
 constexpr KFR_INTRINSIC Tout applyfn_helper(Fn&& fn, Args&&... args)
 {
     return fn(args[Index]...);
 }
 
 template <typename T, size_t N, typename Fn, typename... Args,
-          typename Tout = invoke_result<Fn, subtype<decay<Args>>...>, size_t... Indices>
+          typename Tout = std::invoke_result_t<Fn, subtype<std::decay_t<Args>>...>, size_t... Indices>
 constexpr KFR_INTRINSIC vec<Tout, N> apply_helper(Fn&& fn, csizes_t<Indices...>, Args&&... args)
 {
     return make_vector(applyfn_helper<Indices, T, N>(std::forward<Fn>(fn), std::forward<Args>(args)...)...);
@@ -1032,20 +1109,21 @@ constexpr KFR_INTRINSIC vec<T, N> apply0_helper(Fn&& fn, csizes_t<Indices...>)
 } // namespace internal
 
 template <typename T, size_t N, typename Fn, typename... Args,
-          typename Tout = invoke_result<Fn, T, subtype<decay<Args>>...>>
+          typename Tout = std::invoke_result_t<Fn, T, subtype<std::decay_t<Args>>...>>
 constexpr KFR_INTRINSIC vec<Tout, N> apply(Fn&& fn, const vec<T, N>& arg, Args&&... args)
 {
     return internal::apply_helper<T, N>(std::forward<Fn>(fn), csizeseq<N>, arg, std::forward<Args>(args)...);
 }
 
-template <typename T, typename Fn, typename... Args, typename Tout = invoke_result<Fn, T, decay<Args>...>,
-          KFR_ENABLE_IF(is_same<T, subtype<T>>)>
+template <typename T, typename Fn, typename... Args,
+          typename Tout = std::invoke_result_t<Fn, T, std::decay_t<Args>...>,
+          KFR_ENABLE_IF(std::is_same_v<T, subtype<T>>)>
 constexpr KFR_INTRINSIC Tout apply(Fn&& fn, const T& arg, Args&&... args)
 {
     return fn(arg, args...);
 }
 
-template <size_t N, typename Fn, typename T = invoke_result<Fn>>
+template <size_t N, typename Fn, typename T = std::invoke_result_t<Fn>>
 constexpr KFR_INTRINSIC vec<T, N> apply(Fn&& fn)
 {
     return internal::apply0_helper<T, N>(std::forward<Fn>(fn), csizeseq<N>);
@@ -1106,6 +1184,13 @@ struct vec_template
     using type = vec<T, N>;
 };
 
+template <size_t N1, size_t N2>
+struct vecvec_template
+{
+    template <typename T>
+    using type = vec<vec<T, N1>, N2>;
+};
+
 #ifdef KFR_TESTING
 
 inline const std::vector<special_value>& special_values()
@@ -1153,136 +1238,139 @@ vec<T, N> test_enumerate(vec_shape<T, N>, csizes_t<indices...>, double start = 0
 template <int Cat, typename Fn, typename RefFn, typename IsApplicable = fn_return_constant<bool, true>>
 void test_function1(cint_t<Cat> cat, Fn&& fn, RefFn&& reffn, IsApplicable&& isapplicable = IsApplicable{})
 {
-    testo::matrix(
-        named("value") = special_values(), named("type") = test_catogories::types(cat),
-        [&](special_value value, auto type) {
-            using T = typename decltype(type)::type;
-            if (isapplicable(ctype<T>, value))
-            {
-                const T x(value);
+    testo::matrix(named("value") = special_values(), named("type") = test_catogories::types(cat),
+                  [&](special_value value, auto type)
+                  {
+                      using T = typename decltype(type)::type;
+                      if (isapplicable(cometa::ctype<T>, value))
+                      {
+                          const T x(value);
 #if !defined(_MSC_VER) || defined(__clang__)
-                // Supress ICE in MSVC
-                using RefFnTy = decltype(std::declval<RefFn>()(std::declval<subtype<T>>()));
-                CHECK(is_same<decltype(fn(x)), typename compound_type_traits<T>::template rebind<RefFnTy>>);
+                          // Supress ICE in MSVC
+                          using RefFnTy = decltype(std::declval<RefFn>()(std::declval<subtype<T>>()));
+                          CHECK(std::is_same_v<decltype(fn(x)),
+                                               typename compound_type_traits<T>::template rebind<RefFnTy>>);
 #endif
-                const auto fn_x  = fn(x);
-                const auto ref_x = apply(reffn, x);
-                ::testo::active_test()->check(testo::deep_is_equal(ref_x, fn_x),
-                                              as_string(fn_x, " == ", ref_x), "fn(x) == apply(reffn, x)");
-                //   CHECK(fn(x) == apply(reffn, x));
-            }
-        });
+                          const auto fn_x  = fn(x);
+                          const auto ref_x = apply(reffn, x);
+                          ::testo::active_test()->check(testo::deep_is_equal(ref_x, fn_x),
+                                                        as_string(fn_x, " == ", ref_x),
+                                                        "fn(x) == apply(reffn, x)", __FILE__, __LINE__);
+                          //   CHECK(fn(x) == apply(reffn, x));
+                      }
+                  });
 
-    testo::matrix(named("type") = test_catogories::types(cint<Cat & ~1>), [&](auto type) {
-        using T   = typename decltype(type)::type;
-        const T x = test_enumerate(T::shape(), csizeseq<T::size()>, 0);
-        CHECK(fn(x) == apply(reffn, x));
-    });
+    testo::matrix(named("type") = test_catogories::types(cint<Cat & ~1>),
+                  [&](auto type)
+                  {
+                      using T   = typename decltype(type)::type;
+                      const T x = test_enumerate(T::shape(), csizeseq<T::size()>, 0);
+                      CHECK(fn(x) == apply(reffn, x));
+                  });
 }
 
-template <int Cat, typename Fn, typename RefFn, typename IsApplicable = fn_return_constant<bool, true>>
-void test_function2(cint_t<Cat> cat, Fn&& fn, RefFn&& reffn, IsApplicable&& isapplicable = IsApplicable{})
+template <int Cat, typename Fn, typename RefFn, typename IsApplicable = fn_return_constant<bool, true>,
+          typename IsDefined = fn_return_constant<bool, true>>
+void test_function2(cint_t<Cat> cat, Fn&& fn, RefFn&& reffn, IsApplicable&& isapplicable = IsApplicable{},
+                    IsDefined&& = IsDefined{})
 {
-    testo::matrix(named("value1") = special_values(), //
-                  named("value2") = special_values(), named("type") = test_catogories::types(cat),
-                  [&](special_value value1, special_value value2, auto type) {
-                      using T = typename decltype(type)::type;
-                      const T x1(value1);
-                      const T x2(value2);
-                      if (isapplicable(ctype<T>, value1, value2))
+
+    testo::matrix(
+        named("value1") = special_values(), //
+        named("value2") = special_values(), named("type") = test_catogories::types(cat),
+        [&](special_value value1, special_value value2, auto type)
+        {
+            using T = typename decltype(type)::type;
+            if constexpr (IsDefined{}(cometa::ctype<T>))
+            {
+                const T x1(value1);
+                const T x2(value2);
+                if (isapplicable(cometa::ctype<T>, value1, value2))
+                {
+                    CHECK(std::is_same_v<decltype(fn(x1, x2)),
+                                         typename compound_type_traits<T>::template rebind<decltype(reffn(
+                                             std::declval<subtype<T>>(), std::declval<subtype<T>>()))>>);
+                    CHECK(fn(x1, x2) == apply(reffn, x1, x2));
+                }
+            }
+        });
+
+    testo::matrix(named("type") = test_catogories::types(cint<Cat & ~1>),
+                  [&](auto type)
+                  {
+                      using T    = typename decltype(type)::type;
+                      const T x1 = test_enumerate(T::shape(), csizeseq<T::size()>, 0, 1);
+                      const T x2 = test_enumerate(T::shape(), csizeseq<T::size()>, 100, -1);
+                      if constexpr (IsDefined{}(cometa::ctype<T>))
                       {
-                          CHECK(is_same<decltype(fn(x1, x2)),
-                                        typename compound_type_traits<T>::template rebind<decltype(
-                                            reffn(std::declval<subtype<T>>(), std::declval<subtype<T>>()))>>);
                           CHECK(fn(x1, x2) == apply(reffn, x1, x2));
                       }
                   });
-
-    testo::matrix(named("type") = test_catogories::types(cint<Cat & ~1>), [&](auto type) {
-        using T    = typename decltype(type)::type;
-        const T x1 = test_enumerate(T::shape(), csizeseq<T::size()>, 0, 1);
-        const T x2 = test_enumerate(T::shape(), csizeseq<T::size()>, 100, -1);
-        CHECK(fn(x1, x2) == apply(reffn, x1, x2));
-    });
 }
 
 #endif
 
 namespace internal
 {
-// vector to vector<vector>
-template <typename To, typename From, size_t N>
-struct conversion<vec<bit<To>, N>, vec<bit<From>, N>>
+// mask to mask
+template <typename To, typename From, size_t N, conv_t conv>
+struct conversion<1, 1, vec<bit<To>, N>, vec<bit<From>, N>, conv>
 {
     static vec<bit<To>, N> cast(const vec<bit<From>, N>& value)
     {
-        return vec<To, N>::frombits(innercast<itype<To>>(vec<itype<From>, N>::frombits(value.asvec())))
+        return vec<To, N>::frombits(broadcastto<itype<To>>(vec<itype<From>, N>::frombits(value.asvec())))
             .asmask();
     }
 };
 
 // vector to vector<vector>
 template <typename To, typename From, size_t N1, size_t N2, size_t Ns1>
-struct conversion<vec<vec<To, N1>, N2>, vec<From, Ns1>>
+struct conversion<2, 1, vec<vec<To, N1>, N2>, vec<From, Ns1>, conv_t::broadcast>
 {
     static_assert(N1 == Ns1, "");
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
 
     static vec<vec<To, N1>, N2> cast(const vec<From, N1>& value)
     {
         return vec<vec<To, N1>, N2>::from_flatten(
-            kfr::innercast<To>(value.flatten())
+            kfr::broadcastto<To>(value.flatten())
                 .shuffle(csizeseq<N2 * vec<From, N1>::scalar_size()> % csize<N2>));
     }
 };
 
-// vector to vector<vector<vector>>
-template <typename To, typename From, size_t N1, size_t N2, size_t N3, size_t Ns1>
-struct conversion<vec<vec<vec<To, N1>, N2>, N3>, vec<From, Ns1>>
+// vector to vector<vector>
+template <typename To, typename From, size_t N1, size_t N2, size_t Ns1>
+struct conversion<2, 1, vec<vec<To, N1>, N2>, vec<From, Ns1>, conv_t::promote>
 {
-    static_assert(N1 == Ns1, "");
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(N2 == Ns1, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
 
-    static vec<vec<vec<To, N1>, N2>, N3> cast(const vec<From, N1>& value)
+    static vec<vec<To, N1>, N2> cast(const vec<From, N2>& value)
     {
-        return vec<vec<vec<To, N1>, N2>, N3>::from_flatten(
-            kfr::innercast<To>(value.flatten())
-                .shuffle(csizeseq<N2 * vec<From, N1>::scalar_size()> % csize<N2>));
+        return vec<vec<To, N1>, N2>::from_flatten(
+            kfr::broadcastto<To>(value.flatten())
+                .shuffle(csizeseq<N2 * vec<From, N1>::scalar_size()> / csize<vec<From, N1>::scalar_size()> %
+                         csize<N2>));
     }
 };
 
 // vector<vector> to vector<vector>
-template <typename To, typename From, size_t N1, size_t N2, size_t NN1, size_t NN2>
-struct conversion<vec<vec<To, N1>, N2>, vec<vec<From, NN1>, NN2>>
+template <typename To, typename From, size_t N1, size_t N2, size_t NN1, size_t NN2, conv_t conv>
+struct conversion<2, 2, vec<vec<To, N1>, N2>, vec<vec<From, NN1>, NN2>, conv>
 {
     static_assert(N1 == NN1, "");
     static_assert(N2 == NN2, "");
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
+    static_assert(!is_compound_type<To>, "");
+    static_assert(!is_compound_type<From>, "");
 
     static vec<vec<To, N1>, N2> cast(const vec<vec<From, N1>, N2>& value)
     {
-        return vec<vec<To, N1>, N2>::from_flatten(kfr::innercast<To>(value.flatten()));
+        return vec<vec<To, N1>, N2>::from_flatten(kfr::broadcastto<To>(value.flatten()));
     }
 };
 
-// vector<vector<vector>> to vector<vector<vector>>
-template <typename To, typename From, size_t N1, size_t N2, size_t N3, size_t NN1, size_t NN2, size_t NN3>
-struct conversion<vec<vec<vec<To, N1>, N2>, N3>, vec<vec<vec<From, NN1>, NN2>, NN3>>
-{
-    static_assert(N1 == NN1, "");
-    static_assert(N2 == NN2, "");
-    static_assert(N3 == NN3, "");
-    static_assert(!is_compound<To>, "");
-    static_assert(!is_compound<From>, "");
-
-    static vec<vec<vec<To, N1>, N2>, N3> cast(const vec<vec<vec<From, N1>, N2>, N3>& value)
-    {
-        return vec<vec<vec<To, N1>, N2>, N3>::from_flatten(kfr::innercast<To>(value.flatten()));
-    }
-};
 } // namespace internal
 
 template <typename T, size_t N1, size_t N2 = N1>
@@ -1341,46 +1429,89 @@ struct vecx_t<T, N1, N2>
     using type = vec<vec<T, N1>, N2>;
 };
 
-template <typename T, size_t N1, size_t N2, size_t N3>
-struct vecx_t<T, N1, N2, N3>
-{
-    using type = vec<vec<vec<T, N1>, N2>, N3>;
-};
 } // namespace internal
 
 template <typename T, size_t... Ns>
 using vecx = typename internal::vecx_t<T, Ns...>::type;
 
+template <typename T, size_t N>
+constexpr inline size_t vec_rank<vec<T, N>> = 1;
+
+template <typename T, size_t N1, size_t N2>
+constexpr inline size_t vec_rank<vec<vec<T, N1>, N2>> = 2;
+
+template <typename T, size_t N>
+KFR_INTRINSIC vec<T, N> to_vec(const portable_vec<T, N>& pv)
+{
+    return pv;
+}
+
 } // namespace CMT_ARCH_NAME
+
+template <typename T1, typename T2, size_t N1, size_t N2, typename = void>
+struct common_type_helper
+{
+};
 template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::vec<T1, N>, kfr::vec<T2, N>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_template<N>::template type>
+struct common_type_helper<T1, T2, N, N>
+    : construct_common_type<std::common_type<T1, T2>, vec_template<N>::template type>
+{
+};
+template <typename T1, typename T2, size_t N1, size_t N2>
+struct common_type_helper<vec<T1, N2>, T2, N1, N2, std::enable_if_t<N1 != N2>>
+    : construct_common_type<std::common_type<T1, T2>, vecvec_template<N2, N1>::template type>
+{
+};
+template <typename T1, typename T2, size_t N1, size_t N2>
+struct common_type_helper<T1, vec<T2, N2>, N1, N2, std::enable_if_t<N1 != N2>>
+    : construct_common_type<std::common_type<T1, T2>, vecvec_template<N2, N1>::template type>
 {
 };
+
+} // namespace kfr
+
+namespace std
+{
+
+// V x V
+template <typename T1, typename T2, size_t N1, size_t N2>
+struct common_type<kfr::vec<T1, N1>, kfr::vec<T2, N2>> : kfr::common_type_helper<T1, T2, N1, N2>
+{
+};
+// V x S
 template <typename T1, typename T2, size_t N>
-struct common_type_impl<kfr::vec<T1, N>, T2>
-    : common_type_from_subtypes<T1, T2, kfr::vec_template<N>::template type>
+struct common_type<kfr::vec<T1, N>, T2>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vec_template<N>::template type>
 {
 };
+// S x V
 template <typename T1, typename T2, size_t N>
-struct common_type_impl<T1, kfr::vec<T2, N>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_template<N>::template type>
+struct common_type<T1, kfr::vec<T2, N>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vec_template<N>::template type>
 {
 };
-
+#if 0
+// VV x V
+template <typename T1, typename T2, size_t N1, size_t N2>
+struct common_type<kfr::vec<kfr::vec<T1, N1>, N2>, kfr::vec<T2, N1>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vecvec_template<N1, N2>::template type>
+{
+};
+// V x VV
 template <typename T1, typename T2, size_t N1, size_t N2>
-struct common_type_impl<kfr::vec<T1, N1>, kfr::vec<kfr::vec<T2, N1>, N2>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_vec_template<N1, N2>::template type>
+struct common_type<kfr::vec<T1, N1>, kfr::vec<kfr::vec<T2, N1>, N2>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vecvec_template<N1, N2>::template type>
 {
-    using type = kfr::vec<kfr::vec<typename common_type_impl<T1, T2>::type, N1>, N2>;
 };
+// VV x VV
 template <typename T1, typename T2, size_t N1, size_t N2>
-struct common_type_impl<kfr::vec<kfr::vec<T1, N1>, N2>, kfr::vec<T2, N1>>
-    : common_type_from_subtypes<T1, T2, kfr::vec_vec_template<N1, N2>::template type>
+struct common_type<kfr::vec<kfr::vec<T1, N1>, N2>, kfr::vec<kfr::vec<T2, N1>, N2>>
+    : kfr::construct_common_type<std::common_type<T1, T2>, kfr::vecvec_template<N1, N2>::template type>
 {
 };
+#endif
 
-} // namespace kfr
+} // namespace std
 
 namespace cometa
 {
@@ -1424,11 +1555,47 @@ struct compound_type_traits<kfr::vec<T, N>>
 namespace details
 {
 template <typename T, size_t N>
-struct flt_type_impl<kfr::vec<T, N>>
+struct flt_type_impl<kfr::CMT_ARCH_NAME::vec<T, N>>
 {
-    using type = kfr::vec<typename flt_type_impl<T>::type, N>;
+    using type = kfr::CMT_ARCH_NAME::vec<typename flt_type_impl<T>::type, N>;
 };
 } // namespace details
+
+template <typename T, size_t N>
+struct representation<kfr::CMT_ARCH_NAME::vec<T, N>>
+{
+    using type = std::string;
+    static std::string get(const kfr::CMT_ARCH_NAME::vec<T, N>& value)
+    {
+        kfr::portable_vec<T, N> p = value;
+        return array_to_string(N, ptr_cast<T>(&p.front()));
+    }
+};
+
+template <char t, int width, int prec, typename T, size_t N>
+struct representation<fmt_t<kfr::CMT_ARCH_NAME::vec<T, N>, t, width, prec>>
+{
+    using type = std::string;
+    static std::string get(const fmt_t<kfr::CMT_ARCH_NAME::vec<T, N>, t, width, prec>& value)
+    {
+        kfr::portable_vec<T, N> p = value.value;
+        return array_to_string<fmt_t<T, t, width, prec>>(N, ptr_cast<T>(&p.front()));
+    }
+};
+
+template <typename T, size_t N>
+struct representation<kfr::CMT_ARCH_NAME::mask<T, N>>
+{
+    using type = std::string;
+    static std::string get(const kfr::CMT_ARCH_NAME::mask<T, N>& value)
+    {
+        bool values[N];
+        for (size_t i = 0; i < N; i++)
+            values[i] = value[i];
+        return array_to_string(N, values);
+    }
+};
+
 } // namespace cometa
 
 CMT_PRAGMA_GNU(GCC diagnostic pop)
diff --git a/include/kfr/testo/comparison.hpp b/include/kfr/testo/comparison.hpp
@@ -16,6 +16,8 @@ CMT_PRAGMA_GNU(GCC diagnostic ignored "-Wexit-time-destructors")
 #endif
 CMT_PRAGMA_GNU(GCC diagnostic ignored "-Wpadded")
 CMT_PRAGMA_GNU(GCC diagnostic ignored "-Wshadow")
+CMT_PRAGMA_MSVC(warning(push))
+CMT_PRAGMA_MSVC(warning(disable : 4018))
 
 namespace testo
 {
@@ -62,9 +64,10 @@ inline T& current_epsilon()
     return value;
 }
 
-template <typename T>
+template <typename T = void>
 struct eplison_scope
 {
+    static_assert(std::is_floating_point_v<T>);
     eplison_scope(T scale) { current_epsilon<T>() = std::numeric_limits<T>::epsilon() * scale; }
     ~eplison_scope() { current_epsilon<T>() = saved; }
     T saved = current_epsilon<T>();
@@ -242,4 +245,5 @@ struct make_comparison
 };
 } // namespace testo
 
+CMT_PRAGMA_MSVC(warning(pop))
 CMT_PRAGMA_GNU(GCC diagnostic pop)
diff --git a/include/kfr/testo/testo.hpp b/include/kfr/testo/testo.hpp
@@ -148,6 +148,8 @@ struct test_case
         {
             console_color cc(Cyan);
             printfmt("[{}]", padcenter(11, std::string("RUN"), '-'));
+            std::fflush(stdout);
+            std::fflush(stderr);
         }
         printfmt(" {}...\n", name);
         time_point start = high_resolution_clock::now();
@@ -174,6 +176,7 @@ struct test_case
                         console_color cc(s.success ? Green : Red);
                         printfmt("    {} ", s.success ? "[success]" : "[fail]   ");
                     }
+                    printfmt("{}({}) ", s.file, s.line);
                     printfmt("{}\n", s.text);
                 }
             }
@@ -183,10 +186,10 @@ struct test_case
         return !failed;
     }
 
-    void check(bool result, const std::string& value, const char* expr)
+    void check(bool result, const std::string& value, const char* expr, const char* file, int line)
     {
         subtests.push_back(
-            subtest{ result, as_string(padleft(22, expr), " | ", value), current_scope_text() });
+            subtest{ result, as_string(padleft(22, expr), " | ", value), current_scope_text(), file, line });
         result ? success++ : failed++;
         if (show_progress)
         {
@@ -204,17 +207,17 @@ struct test_case
     }
 
     template <typename Op, typename L, typename R>
-    void check(const comparison<Op, L, R>& comparison, const char* expr)
+    void check(const comparison<Op, L, R>& comparison, const char* expr, const char* file, int line)
     {
         bool result = comparison();
-        check(result, as_string(comparison.left, " ", Op::op(), " ", comparison.right), expr);
+        check(result, as_string(comparison.left, " ", Op::op(), " ", comparison.right), expr, file, line);
     }
 
     template <typename L>
-    void check(const half_comparison<L>& comparison, const char* expr)
+    void check(const half_comparison<L>& comparison, const char* expr, const char* file, int line)
     {
         bool result = comparison.left ? true : false;
-        check(result, as_string(comparison.left), expr);
+        check(result, as_string(comparison.left), expr, file, line);
     }
 
     struct subtest
@@ -222,6 +225,8 @@ struct test_case
         bool success;
         std::string text;
         std::string comment;
+        std::string file;
+        int line = 0;
     };
 
     void scope_changed()
@@ -308,10 +313,12 @@ struct statistics
 template <typename Arg0, typename Fn>
 void matrix(named_arg<Arg0>&& arg0, Fn&& fn)
 {
-    cforeach(std::forward<Arg0>(arg0.value), [&](auto v0) {
-        scope s(as_string(arg0.name, " = ", v0));
-        fn(v0);
-    });
+    cforeach(std::forward<Arg0>(arg0.value),
+             [&](auto v0)
+             {
+                 scope s(as_string(arg0.name, " = ", v0));
+                 fn(v0);
+             });
     if (active_test() && active_test()->show_progress)
         println();
 }
@@ -319,10 +326,12 @@ void matrix(named_arg<Arg0>&& arg0, Fn&& fn)
 template <typename Arg0, typename Arg1, typename Fn>
 void matrix(named_arg<Arg0>&& arg0, named_arg<Arg1>&& arg1, Fn&& fn)
 {
-    cforeach(std::forward<Arg0>(arg0.value), std::forward<Arg1>(arg1.value), [&](auto v0, auto v1) {
-        scope s(as_string(arg0.name, " = ", v0, ", ", arg1.name, " = ", v1));
-        fn(v0, v1);
-    });
+    cforeach(std::forward<Arg0>(arg0.value), std::forward<Arg1>(arg1.value),
+             [&](auto v0, auto v1)
+             {
+                 scope s(as_string(arg0.name, " = ", v0, ", ", arg1.name, " = ", v1));
+                 fn(v0, v1);
+             });
     if (active_test()->show_progress)
         println();
 }
@@ -331,7 +340,8 @@ template <typename Arg0, typename Arg1, typename Arg2, typename Fn>
 void matrix(named_arg<Arg0>&& arg0, named_arg<Arg1>&& arg1, named_arg<Arg2>&& arg2, Fn&& fn)
 {
     cforeach(std::forward<Arg0>(arg0.value), std::forward<Arg1>(arg1.value), std::forward<Arg2>(arg2.value),
-             [&](auto v0, auto v1, auto v2) {
+             [&](auto v0, auto v1, auto v2)
+             {
                  scope s(
                      as_string(arg0.name, " = ", v0, ", ", arg1.name, " = ", v1, ", ", arg2.name, " = ", v2));
                  fn(v0, v1, v2);
@@ -345,7 +355,9 @@ void matrix(named_arg<Arg0>&& arg0, named_arg<Arg1>&& arg1, named_arg<Arg2>&& ar
             Fn&& fn)
 {
     cforeach(std::forward<Arg0>(arg0.value), std::forward<Arg1>(arg1.value), std::forward<Arg2>(arg2.value),
-             std::forward<Arg3>(arg3.value), [&](auto v0, auto v1, auto v2, auto v3) {
+             std::forward<Arg3>(arg3.value),
+             [&](auto v0, auto v1, auto v2, auto v3)
+             {
                  scope s(as_string(arg0.name, " = ", v0, ", ", arg1.name, " = ", v1, ", ", arg2.name, " = ",
                                    v2, arg3.name, " = ", v3));
                  fn(v0, v1, v2, v3);
@@ -395,12 +407,12 @@ CMT_UNUSED static int run_all(const std::string& name = std::string(), bool show
 template <typename T1, typename T2>
 void assert_is_same()
 {
-    static_assert(std::is_same<T1, T2>::value, "");
+    static_assert(std::is_same_v<T1, T2>, "");
 }
 template <typename T1, typename T2>
 void assert_is_same_decay()
 {
-    static_assert(std::is_same<cometa::decay<T1>, cometa::decay<T2>>::value, "");
+    static_assert(std::is_same_v<std::decay_t<T1>, std::decay_t<T2>>, "");
 }
 
 template <typename T, size_t NArgs>
@@ -413,7 +425,8 @@ struct test_data_entry
 #define TESTO_CHECK(...)                                                                                     \
     do                                                                                                       \
     {                                                                                                        \
-        ::testo::active_test()->check(::testo::make_comparison() <= __VA_ARGS__, #__VA_ARGS__);              \
+        ::testo::active_test()->check(::testo::make_comparison() <= __VA_ARGS__, #__VA_ARGS__, __FILE__,     \
+                                      __LINE__);                                                             \
     } while (0)
 
 #define TESTO_TEST(name)                                                                                     \
diff --git a/requirements.txt b/requirements.txt
@@ -0,0 +1,3 @@
+numpy
+scipy
+matplotlib
diff --git a/sources.cmake b/sources.cmake
@@ -9,6 +9,7 @@ set(
     ${PROJECT_SOURCE_DIR}/include/kfr/cometa.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/dft.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/dsp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/except.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/graphics.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/io.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math.hpp
@@ -17,21 +18,27 @@ set(
     ${PROJECT_SOURCE_DIR}/include/kfr/version.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/capi.h
     ${PROJECT_SOURCE_DIR}/include/kfr/cident.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/config.h
     ${PROJECT_SOURCE_DIR}/include/kfr/kfr.h
     ${PROJECT_SOURCE_DIR}/include/kfr/base/basic_expressions.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/conversion.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/expression.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/filter.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/fraction.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/base/function_expressions.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/generators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/handle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/math_expressions.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/memory.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/base/pointer.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/random.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/random_bits.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/reduce.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/shape.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/simd_expressions.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/small_buffer.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/base/sort.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/state_holder.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/tensor.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/base/univector.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/impl/static_array.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/cometa/array.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/cometa/cstring.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/cometa/ctti.hpp
@@ -77,7 +84,7 @@ set(
     ${PROJECT_SOURCE_DIR}/include/kfr/dsp/window.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/graphics/color.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/graphics/geometry.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/scaled.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/impl/scaled.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/io/audiofile.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/io/file.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/io/python_plot.hpp
@@ -85,67 +92,379 @@ set(
     ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_flac.h
     ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_mp3.h
     ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_wav.h
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/abs.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/asin_acos.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/atan.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/clamp.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/compiletime.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/complex_math.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/gamma.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/hyperbolic.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/interpolation.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/logical.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/log_exp.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/min_max.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/modzerobessel.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/round.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/saturation.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/select.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/sin_cos.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/sqrt.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/tan.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/abs.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/asin_acos.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/atan.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/clamp.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/gamma.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/hyperbolic.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/logical.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/log_exp.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/min_max.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/modzerobessel.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/round.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/saturation.hpp
-    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/select.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sin_cos.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sqrt.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/tan.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid_auto.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/abs.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/clamp.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/comparison.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex_type.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/constants.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/digitreverse.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/horizontal.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/logical.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/mask.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/min_max.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/operators.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/platform.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/select.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/shuffle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/sort.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/types.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/vec.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/abs.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_clang.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_generic.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_clang.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_complex.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_generic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/clamp.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/function.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/logical.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/min_max.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/operators.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/select.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/simd.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specialconstants.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specializations.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/intrinsics.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/testo/assert.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/testo/comparison.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/testo/console_colors.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/testo/double_double.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/testo/testo.hpp
+)
+
+    
+set(
+    KFR_SIMD_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/abs.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/clamp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/comparison.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex_type.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/constants.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/digitreverse.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/horizontal.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/logical.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/mask.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/min_max.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/operators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/platform.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/select.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/shuffle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/sort.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/types.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/vec.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/abs.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_clang.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_generic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_clang.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_complex.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_generic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/clamp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/function.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/logical.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/min_max.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/operators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/select.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/simd.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specialconstants.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specializations.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/intrinsics.h
+)
+
+    
+set(
+    KFR_MATH_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/asin_acos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/atan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/compiletime.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/complex_math.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/gamma.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/hyperbolic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/interpolation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/log_exp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/modzerobessel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/sin_cos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/sqrt.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/tan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/asin_acos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/atan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/gamma.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/hyperbolic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/log_exp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/modzerobessel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sin_cos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sqrt.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/tan.hpp
+)
+
+    
+set(
+    KFR_BASE_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/basic_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/conversion.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/expression.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/filter.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/fraction.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/generators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/handle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/math_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/memory.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/random.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/random_bits.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/reduce.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/shape.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/simd_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/small_buffer.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/state_holder.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/tensor.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/univector.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/impl/static_array.hpp
+)
+
+    
+set(
+    KFR_DSP_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/biquad.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/biquad_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/dcremove.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/delay.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/ebu.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fir.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fir_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fracdelay.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/goertzel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/iir_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/mixdown.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/oscillators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/sample_rate_conversion.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/speaker.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/special.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/units.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/waveshaper.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/weighting.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/window.hpp
+)
+
+    
+set(
+    KFR_IO_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/audiofile.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/file.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/python_plot.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/tostring.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_flac.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_mp3.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_wav.h
+)
+
+    
+set(
+    KFR_RUNTIME_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid_auto.hpp
+)
+
+    
+set(
+    KFR_GRAPHICS_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/color.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/geometry.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/impl/scaled.hpp
+)
+
+    
+set(
+    KFR_SRC
+    ${PROJECT_SOURCE_DIR}/include/kfr/all.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/except.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/runtime.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/version.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/capi.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/cident.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/config.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/kfr.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/basic_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/conversion.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/expression.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/filter.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/fraction.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/generators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/handle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/math_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/memory.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/random.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/random_bits.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/reduce.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/shape.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/simd_expressions.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/small_buffer.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/state_holder.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/tensor.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/univector.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/base/impl/static_array.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/array.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/cstring.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/ctti.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/function.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/memory.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/named_arg.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/numeric.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/range.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/result.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/string.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/cometa/tuple.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/cache.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/convolution.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/fft.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/reference_dft.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/data/bitrev.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/data/sincos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/bitrev.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/dft-fft.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/dft-impl.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/dft-templates.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/fft-impl.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/fft-templates.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dft/impl/ft.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/biquad.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/biquad_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/dcremove.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/delay.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/ebu.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fir.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fir_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/fracdelay.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/goertzel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/iir_design.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/mixdown.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/oscillators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/sample_rate_conversion.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/speaker.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/special.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/units.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/waveshaper.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/weighting.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/dsp/window.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/color.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/geometry.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/graphics/impl/scaled.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/audiofile.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/file.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/python_plot.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/tostring.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_flac.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_mp3.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/io/dr/dr_wav.h
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/asin_acos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/atan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/compiletime.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/complex_math.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/gamma.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/hyperbolic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/interpolation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/log_exp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/modzerobessel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/sin_cos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/sqrt.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/tan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/asin_acos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/atan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/gamma.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/hyperbolic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/log_exp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/modzerobessel.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sin_cos.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/sqrt.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/math/impl/tan.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/runtime/cpuid_auto.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/abs.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/clamp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/comparison.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/complex_type.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/constants.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/digitreverse.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/horizontal.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/logical.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/mask.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/min_max.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/operators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/platform.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/select.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/shuffle.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/sort.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/types.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/vec.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/abs.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_clang.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/backend_generic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_clang.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_complex.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/basicoperators_generic.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/clamp.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/function.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/logical.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/min_max.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/operators.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/read_write.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/round.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/saturation.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/select.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/simd.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specialconstants.hpp
+    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specializations.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/intrinsics.h
-    ${PROJECT_SOURCE_DIR}/include/kfr/simd/impl/specializations.i
     ${PROJECT_SOURCE_DIR}/include/kfr/testo/assert.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/testo/comparison.hpp
     ${PROJECT_SOURCE_DIR}/include/kfr/testo/console_colors.hpp
@@ -172,25 +491,43 @@ set(
     
 set(
     KFR_UNITTEST_SRC
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/base.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/basic_expressions.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/base/conversion.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/base/fraction.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/generators.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/handle.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/base/random.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/base/reduce.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/shape.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/std_ambiguities.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/base/tensor.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/biquad.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/biquad_design.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/dsp.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/ebu.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/fir.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/sample_rate_conversion.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/units.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/dsp/window.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/graphics/color.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/graphics/geometry.cpp
-    ${PROJECT_SOURCE_DIR}/tests/unit/math/abs.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/graphics/graphics.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/asin_acos.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/atan.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/hyperbolic.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/log_exp.cpp
-    ${PROJECT_SOURCE_DIR}/tests/unit/math/min_max.cpp
-    ${PROJECT_SOURCE_DIR}/tests/unit/math/round.cpp
-    ${PROJECT_SOURCE_DIR}/tests/unit/math/select.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/math/math.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/sin_cos.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/math/tan.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/simd/abs.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/simd/complex.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/simd/min_max.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/simd/operators.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/simd/round.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/simd/select.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/simd/shuffle.cpp
+    ${PROJECT_SOURCE_DIR}/tests/unit/simd/simd.cpp
     ${PROJECT_SOURCE_DIR}/tests/unit/simd/vec.cpp
 )
 
diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
@@ -16,7 +16,6 @@
 
 cmake_minimum_required(VERSION 3.10)
 
-
 add_definitions(-DKFR_TESTING=1)
 add_definitions(-DKFR_SRC_DIR=\"${CMAKE_SOURCE_DIR}\")
 
@@ -24,15 +23,15 @@ if (CMAKE_CXX_COMPILER_ID MATCHES "Clang")
     add_compile_options(-fdiagnostics-absolute-paths)
 endif ()
 
-option(ENABLE_COVERAGE "Enable coverage reporting" OFF)
+option(KFR_ENABLE_COVERAGE "Enable coverage reporting" OFF)
 
-if (ENABLE_COVERAGE)
+if (KFR_ENABLE_COVERAGE)
     if (CMAKE_CXX_COMPILER_ID MATCHES "Clang")
         add_compile_options(-fprofile-instr-generate -fcoverage-mapping)
     endif ()
 endif ()
 
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     add_definitions(-DHAVE_DFT)
 endif ()
 
@@ -48,18 +47,19 @@ endif ()
 
 # Binary output directories
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELEASE ${PROJECT_BINARY_DIR}/bin)
+set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_RELWITHDEBINFO ${PROJECT_BINARY_DIR}/bin)
 set(CMAKE_RUNTIME_OUTPUT_DIRECTORY_DEBUG ${PROJECT_BINARY_DIR}/bin)
 
 set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${CMAKE_SOURCE_DIR}/tests/cmake/")
 
-if (ENABLE_CAPI_BUILD)
+if (KFR_ENABLE_CAPI_BUILD)
     add_executable(capi_test capi_test.cpp)
     target_include_directories(capi_test
                                PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/../include)
     target_link_libraries(capi_test PUBLIC kfr_capi)
 endif ()
 
-if (ENABLE_ASMTEST)
+if (KFR_ENABLE_ASMTEST)
     add_executable(asm_test asm_test.cpp)
     target_link_libraries(asm_test kfr)
     target_set_arch(asm_test PRIVATE avx2)
@@ -108,36 +108,37 @@ set(ALL_TESTS_CPP
     io_test.cpp
     ${KFR_UNITTEST_SRC})
 
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     list(APPEND ALL_TESTS_CPP dft_test.cpp)
 
     add_executable(dft_test dft_test.cpp)
 endif ()
 
-find_package(MPFR)
-find_package(GMP)
-
-if (MPFR_FOUND AND GMP_FOUND AND REGENERATE_TESTS)
-    message(STATUS "MPFR is found")
-    add_executable(generate_data generate_data.cpp)
-    target_link_libraries(generate_data kfr)
-    target_include_directories(generate_data PRIVATE ${MPFR_INCLUDE_DIR}
-                                                     ${GMP_INCLUDE_DIR})
-    target_link_libraries(generate_data ${MPFR_LIBRARIES} ${GMP_LIBRARIES})
-    if (REGENERATE_TESTS)
-        add_custom_command(
-            TARGET generate_data
-            POST_BUILD
-            COMMENT "Generating tests..."
-            WORKING_DIRECTORY ${CMAKE_SOURCE_DIR}/tests/data
-            COMMAND generate_data)
+if (KFR_REGENERATE_TESTS)
+    find_package(MPFR)
+    find_package(GMP)
+
+    if (MPFR_FOUND AND GMP_FOUND)
+        add_executable(generate_data generate_data.cpp)
+        target_link_libraries(generate_data kfr)
+        target_include_directories(generate_data PRIVATE ${MPFR_INCLUDE_DIR}
+                                                         ${GMP_INCLUDE_DIR})
+        target_link_libraries(generate_data ${MPFR_LIBRARIES} ${GMP_LIBRARIES})
+        if (KFR_REGENERATE_TESTS)
+            add_custom_command(
+                TARGET generate_data
+                POST_BUILD
+                COMMENT "Generating tests..."
+                WORKING_DIRECTORY ${CMAKE_SOURCE_DIR}/tests/data
+                COMMAND generate_data)
+        endif ()
     endif ()
 endif ()
 
 add_executable(all_tests all_tests.cpp ${ALL_TESTS_CPP})
 target_compile_definitions(all_tests PRIVATE KFR_NO_MAIN)
 target_link_libraries(all_tests kfr use_arch)
-if (ENABLE_DFT)
+if (KFR_ENABLE_DFT)
     target_link_libraries(all_tests kfr_dft)
     target_link_libraries(dft_test kfr_dft)
 endif ()
@@ -152,7 +153,7 @@ function (add_x86_test ARCH)
 
     add_executable(all_tests_${NAME} all_tests.cpp ${ALL_TESTS_CPP}
                                      ${KFR_IO_SRC})
-    if (ENABLE_DFT)
+    if (KFR_ENABLE_DFT)
         target_sources(all_tests_${NAME} PRIVATE ${KFR_DFT_SRC})
     endif ()
     target_link_libraries(all_tests_${NAME} kfr)
@@ -160,10 +161,10 @@ function (add_x86_test ARCH)
     target_compile_definitions(all_tests_${NAME} PRIVATE KFR_NO_MAIN)
     target_compile_definitions(all_tests_${NAME} PUBLIC KFR_ENABLE_FLAC=1)
 
-    if (ARCH_TESTS_MULTI)
+    if (KFR_ARCH_TESTS_MULTI)
         add_library(all_tests_multiarch_${NAME} STATIC ${ALL_TESTS_MERGED_CPP}
                                                        ${KFR_IO_SRC})
-        if (ENABLE_DFT)
+        if (KFR_ENABLE_DFT)
             target_sources(all_tests_multiarch_${NAME} PRIVATE ${KFR_DFT_SRC})
         endif ()
         target_link_libraries(all_tests_multiarch_${NAME} kfr)
@@ -176,9 +177,7 @@ function (add_x86_test ARCH)
 
 endfunction ()
 
-message(STATUS "ARCH_TESTS = ${ARCH_TESTS}")
-
-if (ARCH_TESTS AND ARCH_TESTS STREQUAL "ON")
+if (KFR_ARCH_TESTS AND KFR_ARCH_TESTS STREQUAL "ON")
     set(ARCH_LIST
         generic
         sse2
@@ -188,22 +187,20 @@ if (ARCH_TESTS AND ARCH_TESTS STREQUAL "ON")
         avx2
         avx512)
 else ()
-    string(REPLACE "," ";" ARCH_LIST "${ARCH_TESTS}")
+    string(REPLACE "," ";" ARCH_LIST "${KFR_ARCH_TESTS}")
 endif ()
 
 if (MSVC AND NOT CLANG)
     list(REMOVE_ITEM ARCH_LIST generic)
 endif ()
 
-message(STATUS "Testing for ${ARCH_LIST}")
-
-if (ARCH_TESTS)
+if (KFR_ARCH_TESTS)
 
     foreach (A IN LISTS ARCH_LIST)
         add_x86_test(${A})
     endforeach ()
 
-    if (ARCH_TESTS_MULTI)
+    if (KFR_ARCH_TESTS_MULTI)
         add_executable(all_tests_multiarch all_tests.cpp)
         target_compile_definitions(all_tests_multiarch PRIVATE KFR_MULTI_ARCH)
         foreach (A IN LISTS ARCH_LIST)
@@ -212,7 +209,7 @@ if (ARCH_TESTS)
     endif ()
 endif ()
 
-if (USE_SDE)
+if (KFR_USE_SDE)
     if ("${CMAKE_SIZEOF_VOID_P}" EQUAL "8")
         find_program(SDE NAMES "sde64" "sde")
     else ()
@@ -236,22 +233,22 @@ set(SDE_ARCH_avx -snb)
 set(SDE_ARCH_avx2 -hsw)
 set(SDE_ARCH_avx512 -skx)
 
-if (NOT SKIP_TESTS)
+if (NOT KFR_SKIP_TESTS)
     enable_testing()
 
     if (X86)
         add_test(NAME multiarch COMMAND ${EMULATOR}
                                         ${PROJECT_BINARY_DIR}/bin/multiarch)
 
-        if (ENABLE_CAPI_BUILD)
+        if (KFR_ENABLE_CAPI_BUILD)
             add_test(NAME capi_test COMMAND ${EMULATOR}
                                             ${PROJECT_BINARY_DIR}/bin/capi_test)
         endif ()
     endif ()
 
-    if (ARCH_TESTS)
+    if (KFR_ARCH_TESTS)
         foreach (A IN LISTS ARCH_LIST)
-            if (USE_SDE)
+            if (KFR_USE_SDE)
                 add_test(NAME all_tests_${A}
                          COMMAND ${SDE} ${SDE_ARCH_${A}} -chip_check_exe_only
                                  -- ${PROJECT_BINARY_DIR}/bin/all_tests_${A})
@@ -262,11 +259,13 @@ if (NOT SKIP_TESTS)
             endif ()
         endforeach ()
     endif ()
-    if (USE_SDE)
-        add_test(NAME all_tests COMMAND ${SDE} ${SDE_ARCH_${CPU_ARCH}} -chip_check_exe_only
-                                    -- ${PROJECT_BINARY_DIR}/bin/all_tests)
-        add_test(NAME all_tests_on_avx512 COMMAND ${SDE} ${SDE_ARCH_avx512} -chip_check_exe_only
-                                    -- ${PROJECT_BINARY_DIR}/bin/all_tests)
+    if (KFR_USE_SDE)
+        add_test(NAME all_tests
+                 COMMAND ${SDE} ${SDE_ARCH_${KFR_ARCH}} -chip_check_exe_only --
+                         ${PROJECT_BINARY_DIR}/bin/all_tests)
+        add_test(NAME all_tests_on_avx512
+                 COMMAND ${SDE} ${SDE_ARCH_avx512} -chip_check_exe_only --
+                         ${PROJECT_BINARY_DIR}/bin/all_tests)
     else ()
         add_test(NAME all_tests COMMAND ${PROJECT_BINARY_DIR}/bin/all_tests)
     endif ()
diff --git a/tests/asm_test.cpp b/tests/asm_test.cpp
@@ -143,7 +143,7 @@ using namespace kfr;
     {                                                                                                        \
         r = kfr::fn<n, true>(x);                                                                             \
     }                                                                                                        \
-    KFR_PUBLIC void asm__test__##fn##__##ty##__##n##__unaligned(vec<ty, n> & __restrict r,                   \
+    KFR_PUBLIC void asm__test__##fn##__##ty##__##n##__unaligned(vec<ty, n>& __restrict r,                    \
                                                                 const ty* __restrict x)                      \
     {                                                                                                        \
         r = kfr::fn<n, false>(x);                                                                            \
@@ -154,7 +154,7 @@ using namespace kfr;
     {                                                                                                        \
         kfr::fn<true>(p, x);                                                                                 \
     }                                                                                                        \
-    KFR_PUBLIC void asm__test__##fn##__##ty##__##n##__unaligned(ty * __restrict p, const vec<ty, n>& x)      \
+    KFR_PUBLIC void asm__test__##fn##__##ty##__##n##__unaligned(ty* __restrict p, const vec<ty, n>& x)       \
     {                                                                                                        \
         kfr::fn<false>(p, x);                                                                                \
     }
diff --git a/tests/base_test.cpp b/tests/base_test.cpp
@@ -6,8 +6,8 @@
 
 #include <kfr/testo/testo.hpp>
 
-#include <kfr/io.hpp>
-#include <kfr/simd.hpp>
+// #include <kfr/io.hpp>
+#include <kfr/base.hpp>
 
 using namespace kfr;
 
@@ -92,23 +92,7 @@ TEST(test_basic)
     CHECK(inrange(pack(1, 2, 3), 1, 1) == make_mask<int>(true, false, false));
 }
 
-TEST(test_gen_expj)
-{
-    kfr::univector<cbase> v = kfr::truncate(kfr::gen_expj(0.f, constants<float>::pi_s(2) * 0.1f), 1000);
-    CHECK(rms(cabs(v.slice(990) -
-                   univector<cbase>({ cbase(1., +0.00000000e+00), cbase(0.80901699, +5.87785252e-01),
-                                      cbase(0.30901699, +9.51056516e-01), cbase(-0.30901699, +9.51056516e-01),
-                                      cbase(-0.80901699, +5.87785252e-01), cbase(-1., +1.22464680e-16),
-                                      cbase(-0.80901699, -5.87785252e-01),
-                                      cbase(-0.30901699, -9.51056516e-01), cbase(0.30901699, -9.51056516e-01),
-                                      cbase(0.80901699, -5.87785252e-01) }))) < 0.00006); // error here depends on vector width
-                                      // In most cases error is much lower (less than 0.00001)
-}
-
-TEST(ctti)
-{
-    CHECK(cometa::type_name<float>() == std::string("float"));
-}
+TEST(ctti) { CHECK(cometa::type_name<float>() == std::string("float")); }
 
 } // namespace CMT_ARCH_NAME
 
diff --git a/tests/complex_test.cpp b/tests/complex_test.cpp
@@ -192,9 +192,9 @@ TEST(complex_function_expressions)
     CHECK(uv3[1] == 2.f);
     CHECK(uv3[2] == 8.f);
     CHECK(uv3[3] == 18.f);
-    testo::assert_is_same<c32, value_type_of<decltype(uv2)>>();
-    testo::assert_is_same<f32, value_type_of<decltype(uv3)>>();
-    testo::assert_is_same<f32, value_type_of<decltype(real(uv2))>>();
+    testo::assert_is_same<c32, expression_value_type<decltype(uv2)>>();
+    testo::assert_is_same<f32, expression_value_type<decltype(uv3)>>();
+    testo::assert_is_same<f32, expression_value_type<decltype(real(uv2))>>();
 }
 
 TEST(static_tests)
@@ -219,11 +219,7 @@ TEST(static_tests)
     testo::assert_is_same<ftype<vec<complex<i32>, 4>>, vec<complex<f32>, 4>>();
     testo::assert_is_same<ftype<vec<complex<i64>, 8>>, vec<complex<f64>, 8>>();
 
-    testo::assert_is_same<kfr::internal::arg<int>, kfr::internal::expression_scalar<int>>();
-    testo::assert_is_same<kfr::internal::arg<complex<int>>,
-                          kfr::internal::expression_scalar<kfr::complex<int>>>();
-
-    testo::assert_is_same<kfr::common_type<complex<int>, double>, complex<double>>();
+    testo::assert_is_same<std::common_type_t<complex<int>, double>, complex<double>>();
 }
 } // namespace CMT_ARCH_NAME
 
diff --git a/tests/dft_test.cpp b/tests/dft_test.cpp
@@ -24,17 +24,31 @@ constexpr ctypes_t<float, double> dft_float_types{};
 constexpr ctypes_t<float> dft_float_types{};
 #endif
 
-#if defined(__clang__) && defined(CMT_ARCH_X86)
+#if defined(CMT_ARCH_X86)
 
-static void full_barrier() { asm volatile("mfence" ::: "memory"); }
-static void dont_optimize(const void* in) { asm volatile("" : "+m"(in)); }
+static void full_barrier()
+{
+#ifdef CMT_COMPILER_GNU
+    asm volatile("mfence" ::: "memory");
+#else
+    _ReadWriteBarrier();
+#endif
+}
+static CMT_NOINLINE void dont_optimize(const void* in)
+{
+#ifdef CMT_COMPILER_GNU
+    asm volatile("" : "+m"(in));
+#else
+    volatile uint8_t a = *reinterpret_cast<const uint8_t*>(in);
+#endif
+}
 
 template <typename T>
 static void perf_test_t(int size)
 {
     print("[PERFORMANCE] DFT ", fmt<'s', 6>(type_name<T>()), " ", fmt<'d', 6>(size), "...");
-    random_bit_generator gen1(2247448713, 915890490, 864203735, 2982561);
-    random_bit_generator gen2(2982561, 2247448713, 915890490, 864203735);
+    random_state gen1 = random_init(2247448713, 915890490, 864203735, 2982561);
+    random_state gen2 = random_init(2982561, 2247448713, 915890490, 864203735);
     std::chrono::high_resolution_clock::duration duration(0);
     dft_plan<T> dft(size);
     univector<u8> tmp(dft.temp_size);
@@ -69,10 +83,12 @@ TEST(test_performance)
         perf_test(size);
     }
 
+#ifndef KFR_DFT_NO_NPo2
     perf_test(210);
     perf_test(3150);
     perf_test(211);
     perf_test(3163);
+#endif
 }
 #endif
 
@@ -149,7 +165,7 @@ constexpr size_t dft_stopsize = 257;
 TEST(fft_real)
 {
     using float_type = double;
-    random_bit_generator gen(2247448713, 915890490, 864203735, 2982561);
+    random_state gen = random_init(2247448713, 915890490, 864203735, 2982561);
 
     constexpr size_t size = 64;
 
@@ -161,8 +177,10 @@ TEST(fft_real)
 
 TEST(fft_accuracy)
 {
+#ifdef DEBUG_DFT_PROGRESS
     testo::active_test()->show_progress = true;
-    random_bit_generator gen(2247448713, 915890490, 864203735, 2982561);
+#endif
+    random_state gen = random_init(2247448713, 915890490, 864203735, 2982561);
     std::set<size_t> size_set;
     univector<size_t> sizes = truncate(1 + counter(), fft_stopsize - 1);
     sizes                   = round(pow(2.0, sizes));
@@ -175,7 +193,9 @@ TEST(fft_accuracy)
             sizes.push_back(s);
     }
 #endif
+#ifdef DEBUG_DFT_PROGRESS
     println(sizes);
+#endif
 
     testo::matrix(named("type") = dft_float_types, //
                   named("size") = sizes, //
@@ -193,9 +213,12 @@ TEST(fft_accuracy)
                           univector<complex<float_type>> refout = out;
                           univector<complex<float_type>> outo   = in;
                           const dft_plan<float_type> dft(size);
+                          double min_prec2 = dft.arblen ? 2 * min_prec : min_prec;
                           if (!inverse)
                           {
+#if DEBUG_DFT_PROGRESS
                               dft.dump();
+#endif
                           }
                           univector<u8> temp(dft.temp_size);
 
@@ -204,9 +227,9 @@ TEST(fft_accuracy)
                           dft.execute(out, out, temp, inverse);
 
                           const float_type rms_diff_inplace = rms(cabs(refout - out));
-                          CHECK(rms_diff_inplace < min_prec);
+                          CHECK(rms_diff_inplace < min_prec2);
                           const float_type rms_diff_outofplace = rms(cabs(refout - outo));
-                          CHECK(rms_diff_outofplace < min_prec);
+                          CHECK(rms_diff_outofplace < min_prec2);
                       }
 
                       if (size >= 4 && is_poweroftwo(size))
@@ -214,8 +237,8 @@ TEST(fft_accuracy)
                           univector<float_type> in =
                               truncate(gen_random_range<float_type>(gen, -1.0, +1.0), size);
 
-                          univector<complex<float_type>> out    = truncate(scalar(qnan), size);
-                          univector<complex<float_type>> refout = truncate(scalar(qnan), size);
+                          univector<complex<float_type>> out    = truncate(dimensions<1>(scalar(qnan)), size);
+                          univector<complex<float_type>> refout = truncate(dimensions<1>(scalar(qnan)), size);
                           const dft_plan_real<float_type> dft(size);
                           univector<u8> temp(dft.temp_size);
 
@@ -246,21 +269,21 @@ TEST(dct)
     univector<u8> tmp(plan.temp_size);
     plan.execute(out, in, tmp, false);
 
-    univector<float, size> refout = { 120., -51.79283109806667,  0., -5.6781471211595695,
-                                      0.,   -1.9843883778092053, 0., -0.9603691873838152,
-                                      0.,   -0.5308329190495176, 0., -0.3030379000702155,
-                                      0.,   -0.1584982220313824, 0., -0.0494839805703826 };
+    univector<float, size> refout = { 120.f, -51.79283109806667f,  0.f, -5.6781471211595695f,
+                                      0.f,   -1.9843883778092053f, 0.f, -0.9603691873838152f,
+                                      0.f,   -0.5308329190495176f, 0.f, -0.3030379000702155f,
+                                      0.f,   -0.1584982220313824f, 0.f, -0.0494839805703826f };
 
     CHECK(rms(refout - out) < 0.00001f);
 
     plan.execute(outinv, in, tmp, true);
 
-    univector<float, size> refoutinv = { 59.00747544192212,  -65.54341437693878,  27.70332758523579,
-                                         -24.56124678824279, 15.546989102481612,  -14.293082621965974,
-                                         10.08224348063459,  -9.38097406470581,   6.795411054455922,
-                                         -6.320715753372687, 4.455202292297903,   -4.0896421269390455,
-                                         2.580439536964837,  -2.2695816108369176, 0.9311870090070382,
-                                         -0.643618159997807 };
+    univector<float, size> refoutinv = { 59.00747544192212f,  -65.54341437693878f,  27.70332758523579f,
+                                         -24.56124678824279f, 15.546989102481612f,  -14.293082621965974f,
+                                         10.08224348063459f,  -9.38097406470581f,   6.795411054455922f,
+                                         -6.320715753372687f, 4.455202292297903f,   -4.0896421269390455f,
+                                         2.580439536964837f,  -2.2695816108369176f, 0.9311870090070382f,
+                                         -0.643618159997807f };
 
     CHECK(rms(refoutinv - outinv) < 0.00001f);
 }
diff --git a/tests/dsp_test.cpp b/tests/dsp_test.cpp
@@ -18,269 +18,6 @@ using namespace kfr;
 namespace CMT_ARCH_NAME
 {
 
-struct TestFragment
-{
-    float gain; // dB
-    float duration; // seconds
-    float frequency; // Hz
-};
-
-struct TestFragmentMultichannel
-{
-    float gain_L_R; // dB
-    float gain_C; // dB
-    float gain_Ls_Rs; // dB
-    float duration; // seconds
-    float frequency; // Hz
-};
-
-template <typename T>
-static void ebu_test_stereo(int sample_rate, const std::initializer_list<TestFragment>& fragments, T refM,
-                            T refS, T refI, T refLRA)
-{
-    ebu_r128<T> loudness(sample_rate, { Speaker::Left, Speaker::Right });
-
-    size_t total_length = 0;
-    for (const TestFragment& f : fragments)
-    {
-        total_length += static_cast<size_t>(f.duration * sample_rate);
-    }
-
-    univector<T> left_right(total_length);
-    size_t pos = 0;
-    for (const TestFragment& f : fragments)
-    {
-        const size_t len           = static_cast<size_t>(f.duration * sample_rate);
-        left_right.slice(pos, len) = dB_to_amp(f.gain) * sinenorm(phasor<float>(f.frequency, sample_rate));
-        pos += len;
-    }
-
-    for (size_t i = 0; i < total_length / loudness.packet_size(); i++)
-    {
-        loudness.process_packet({ left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
-                                  left_right.slice(i * loudness.packet_size(), loudness.packet_size()) });
-    }
-    T M, S, I, RL, RH;
-    loudness.get_values(M, S, I, RL, RH);
-    if (!std::isnan(refM))
-        CHECK(std::abs(M - refM) < 0.05f);
-    if (!std::isnan(refS))
-        CHECK(std::abs(S - refS) < 0.05f);
-    if (!std::isnan(refI))
-        CHECK(std::abs(I - refI) < 0.05f);
-    if (!std::isnan(refLRA))
-        CHECK(std::abs((RH - RL) - refLRA) < 0.05f);
-}
-
-template <typename T>
-static void ebu_test_multichannel(int sample_rate,
-                                  const std::initializer_list<TestFragmentMultichannel>& fragments, T refM,
-                                  T refS, T refI, T refLRA)
-{
-    ebu_r128<T> loudness(sample_rate, { Speaker::Left, Speaker::Right, Speaker::Center, Speaker::LeftSurround,
-                                        Speaker::RightSurround });
-
-    size_t total_length = 0;
-    for (const TestFragmentMultichannel& f : fragments)
-    {
-        total_length += static_cast<size_t>(f.duration * sample_rate);
-    }
-
-    univector<T> left_right(total_length);
-    univector<T> center(total_length);
-    univector<T> surround(total_length);
-    size_t pos = 0;
-    for (const TestFragmentMultichannel& f : fragments)
-    {
-        const size_t len = static_cast<size_t>(f.duration * sample_rate);
-        left_right.slice(pos, len) =
-            dB_to_amp(f.gain_L_R) * sinenorm(phasor<float>(f.frequency, sample_rate));
-        center.slice(pos, len) = dB_to_amp(f.gain_C) * sinenorm(phasor<float>(f.frequency, sample_rate));
-        surround.slice(pos, len) =
-            dB_to_amp(f.gain_Ls_Rs) * sinenorm(phasor<float>(f.frequency, sample_rate));
-        pos += len;
-    }
-
-    for (size_t i = 0; i < total_length / loudness.packet_size(); i++)
-    {
-        loudness.process_packet({ left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
-                                  left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
-                                  center.slice(i * loudness.packet_size(), loudness.packet_size()),
-                                  surround.slice(i * loudness.packet_size(), loudness.packet_size()),
-                                  surround.slice(i * loudness.packet_size(), loudness.packet_size()) });
-    }
-    T M, S, I, RL, RH;
-    loudness.get_values(M, S, I, RL, RH);
-    if (!std::isnan(refM))
-        CHECK(std::abs(M - refM) < 0.05f);
-    if (!std::isnan(refS))
-        CHECK(std::abs(S - refS) < 0.05f);
-    if (!std::isnan(refI))
-        CHECK(std::abs(I - refI) < 0.05f);
-    if (!std::isnan(refLRA))
-        CHECK(std::abs((RH - RL) - refLRA) < 0.05f);
-}
-
-TEST(ebu_stereo_1_and_2)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_stereo<T>(sample_rate, { { -23.f, 20.f, 1000.f } }, -23.f, -23.f, -23.f, NAN);
-                      ebu_test_stereo<T>(sample_rate, { { -33.f, 20.f, 1000.f } }, -33.f, -33.f, -33.f, NAN);
-                  });
-}
-
-TEST(ebu_stereo_3_4_and_5)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_stereo<T>(
-                          sample_rate,
-                          { { -36.f, 10.f, 1000.f }, { -23.f, 60.f, 1000.f }, { -36.f, 10.f, 1000.f } }, NAN,
-                          NAN, -23.f, NAN);
-                      ebu_test_stereo<T>(sample_rate,
-                                         { { -72.f, 10.f, 1000.f },
-                                           { -36.f, 10.f, 1000.f },
-                                           { -23.f, 60.f, 1000.f },
-                                           { -36.f, 10.f, 1000.f },
-                                           { -72.f, 10.f, 1000.f } },
-                                         NAN, NAN, -23.f, NAN);
-                  });
-}
-
-TEST(ebu_multichannel_6)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_multichannel<T>(sample_rate, { { -28.f, -24.f, -30.f, 20.f, 1000.f } }, NAN,
-                                               NAN, -23.f, NAN);
-                  });
-}
-
-TEST(ebu_stereo_9)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_stereo<T>(sample_rate,
-                                         { { -20.f, 1.34f, 1000.f },
-                                           { -30.f, 1.66f, 1000.f },
-                                           { -20.f, 1.34f, 1000.f },
-                                           { -30.f, 1.66f, 1000.f },
-                                           { -20.f, 1.34f, 1000.f },
-                                           { -30.f, 1.66f, 1000.f },
-                                           { -20.f, 1.34f, 1000.f },
-                                           { -30.f, 1.66f, 1000.f },
-                                           { -20.f, 1.34f, 1000.f },
-                                           { -30.f, 1.66f, 1000.f } },
-                                         NAN, -23.f, NAN, NAN);
-                  });
-}
-
-TEST(ebu_stereo_12)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_stereo<T>(
-                          sample_rate,
-                          { { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
-                            { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
-                            { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f } },
-                          -23.f, NAN, NAN, NAN);
-                  });
-}
-
-TEST(ebu_lra_1_2_3_and_4)
-{
-    testo::matrix(named("type")        = ctypes_t<float, double>{},
-                  named("sample_rate") = std::vector<int>{ 44100, 48000 }, [](auto type, int sample_rate) {
-                      using T = typename decltype(type)::type;
-
-                      ebu_test_stereo<T>(sample_rate, { { -20.f, 20.f, 1000.f }, { -30.f, 20.f, 1000.f } },
-                                         NAN, NAN, NAN, 10.f);
-
-                      ebu_test_stereo<T>(sample_rate, { { -20.f, 20.f, 1000.f }, { -15.f, 20.f, 1000.f } },
-                                         NAN, NAN, NAN, 5.f);
-
-                      ebu_test_stereo<T>(sample_rate, { { -40.f, 20.f, 1000.f }, { -20.f, 20.f, 1000.f } },
-                                         NAN, NAN, NAN, 20.f);
-
-                      ebu_test_stereo<T>(sample_rate,
-                                         { { -50.f, 20.f, 1000.f },
-                                           { -35.f, 20.f, 1000.f },
-                                           { -20.f, 20.f, 1000.f },
-                                           { -35.f, 20.f, 1000.f },
-                                           { -50.f, 20.f, 1000.f } },
-                                         NAN, NAN, NAN, 15.f);
-                  });
-}
-
-TEST(note_to_hertz)
-{
-    testo::eplison_scope<void> eps(2000);
-    CHECK(kfr::note_to_hertz(60) == fbase(261.6255653005986346778499935233));
-    CHECK(kfr::note_to_hertz(pack(60)) == pack(fbase(261.6255653005986346778499935233)));
-
-    CHECK(kfr::note_to_hertz(69) == fbase(440.0));
-    CHECK(kfr::note_to_hertz(pack(69)) == pack(fbase(440)));
-}
-
-TEST(hertz_to_note)
-{
-    testo::eplison_scope<void> eps(1000);
-    CHECK(kfr::hertz_to_note(261.6255653005986346778499935233) == fbase(60));
-    CHECK(kfr::hertz_to_note(pack(261.6255653005986346778499935233)) == pack(fbase(60)));
-
-    CHECK(kfr::hertz_to_note(440) == fbase(69));
-    CHECK(kfr::hertz_to_note(pack(440)) == pack(fbase(69)));
-}
-
-TEST(amp_to_dB)
-{
-    testo::eplison_scope<void> eps(1000);
-
-    CHECK(kfr::amp_to_dB(fbase(2.0)) == fbase(6.0205999132796239042747778944899));
-    CHECK(kfr::amp_to_dB(fbase(-2.0)) == fbase(6.0205999132796239042747778944899));
-    CHECK(kfr::amp_to_dB(fbase(1.0)) == fbase(0));
-    CHECK(kfr::amp_to_dB(fbase(-1.0)) == fbase(0));
-    CHECK(kfr::amp_to_dB(fbase(0.5)) == fbase(-6.0205999132796239042747778944899));
-    CHECK(kfr::amp_to_dB(fbase(-0.5)) == fbase(-6.0205999132796239042747778944899));
-    CHECK(kfr::amp_to_dB(fbase(0.0)) == fbase(-HUGE_VAL));
-}
-
-TEST(dB_to_amp)
-{
-    testo::eplison_scope<void> eps(1000);
-
-    CHECK(kfr::dB_to_amp(fbase(-HUGE_VAL)) == fbase(0.0));
-    CHECK(kfr::dB_to_amp(fbase(0.0)) == fbase(1.0));
-    CHECK(kfr::dB_to_amp(fbase(6.0205999132796239042747778944899)) == fbase(2.0));
-    CHECK(kfr::dB_to_amp(fbase(-6.0205999132796239042747778944899)) == fbase(0.5));
-}
-
 TEST(delay)
 {
     const univector<float, 33> v1 = counter() + 100;
@@ -337,316 +74,14 @@ TEST(phasor)
     CHECK(rms(v1 - v2) < 1.e-5);
 }
 
-TEST(fir)
-{
-#ifdef CMT_COMPILER_MSVC
-    // testo::matrix causes error in MSVC
-    {
-        using T = float;
-
-        const univector<T, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
-        const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
-
-        CHECK_EXPRESSION(fir(data, taps), 100, [&](size_t index) -> T {
-            T result = 0;
-            for (size_t i = 0; i < taps.size(); i++)
-                result += data.get(index - i, 0) * taps[i];
-            return result;
-        });
-
-        CHECK_EXPRESSION(short_fir(data, taps), 100, [&](size_t index) -> T {
-            T result = 0;
-            for (size_t i = 0; i < taps.size(); i++)
-                result += data.get(index - i, 0) * taps[i];
-            return result;
-        });
-    }
-    {
-        using T = double;
-
-        const univector<T, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
-        const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
-
-        CHECK_EXPRESSION(fir(data, taps), 100, [&](size_t index) -> T {
-            T result = 0;
-            for (size_t i = 0; i < taps.size(); i++)
-                result += data.get(index - i, 0) * taps[i];
-            return result;
-        });
-
-        CHECK_EXPRESSION(short_fir(data, taps), 100, [&](size_t index) -> T {
-            T result = 0;
-            for (size_t i = 0; i < taps.size(); i++)
-                result += data.get(index - i, 0) * taps[i];
-            return result;
-        });
-    }
-#else
-    testo::matrix(named("type") = ctypes_t<float
-#ifdef CMT_NATIVE_F64
-                                           ,
-                                           double
-#endif
-                                           >{},
-                  [](auto type) {
-                      using T = typename decltype(type)::type;
-
-                      const univector<T, 100> data =
-                          counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
-                      const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
-
-                      CHECK_EXPRESSION(fir(data, taps), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < taps.size(); i++)
-                              result += data.get(index - i, 0) * taps[i];
-                          return result;
-                      });
-
-                      fir_state<T> state(taps.ref());
-
-                      CHECK_EXPRESSION(fir(state, data), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < taps.size(); i++)
-                              result += data.get(index - i, 0) * taps[i];
-                          return result;
-                      });
-
-                      CHECK_EXPRESSION(short_fir(data, taps), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < taps.size(); i++)
-                              result += data.get(index - i, 0) * taps[i];
-                          return result;
-                      });
-
-                      short_fir_state<9, T> state2(taps);
-
-                      CHECK_EXPRESSION(short_fir<taps.size()>(state2, data), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < taps.size(); i++)
-                              result += data.get(index - i, 0) * taps[i];
-                          return result;
-                      });
-
-                      CHECK_EXPRESSION(moving_sum<taps.size()>(data), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < taps.size(); i++)
-                              result += data.get(index - i, 0);
-                          return result;
-                      });
-
-                      moving_sum_state<T, 131> msstate1;
-
-                      CHECK_EXPRESSION(moving_sum(msstate1, data), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < msstate1.delayline.size(); i++)
-                              result += data.get(index - i, 0);
-                          return result;
-                      });
-
-                      moving_sum_state<T> msstate2(133);
-
-                      CHECK_EXPRESSION(moving_sum(msstate2, data), 100, [&](size_t index) -> T {
-                          T result = 0;
-                          for (size_t i = 0; i < msstate2.delayline.size(); i++)
-                              result += data.get(index - i, 0);
-                          return result;
-                      });
-                  });
-#endif
-}
-
-#ifdef CMT_NATIVE_F64
-TEST(fir_different)
-{
-    const univector<float, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5f);
-    //    const univector<double, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
-    const univector<double, 4> taps{ 1, 2, 3, 4 };
-
-    CHECK_EXPRESSION(fir(data, taps), 100, [&](size_t index) -> float {
-        double result = 0.0;
-        for (size_t i = 0; i < taps.size(); i++)
-            result += data.get(index - i, 0.0) * taps[i];
-        return float(result);
-    });
-
-    CHECK_EXPRESSION(short_fir(data, taps), 100, [&](size_t index) -> float {
-        double result = 0.0;
-        for (size_t i = 0; i < taps.size(); i++)
-            result += data.get(index - i, 0.0) * taps[i];
-        return float(result);
-    });
-}
-#endif
-
-#ifdef KFR_STD_COMPLEX
-template <typename T>
-inline std::complex<T> to_std(const std::complex<T>& c)
-{
-    return c;
-}
-template <typename T>
-inline std::complex<T> from_std(const std::complex<T>& c)
-{
-    return c;
-}
-#else
-template <typename T>
-inline std::complex<T> to_std(const kfr::complex<T>& c)
-{
-    return { c.real(), c.imag() };
-}
-
-template <typename T>
-inline kfr::complex<T> from_std(const std::complex<T>& c)
-{
-    return { c.real(), c.imag() };
-}
-#endif
-
-TEST(fir_complex)
-{
-    const univector<complex<float>, 100> data =
-        counter() * complex<float>{ 0.f, 1.f } + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5f);
-    const univector<float, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
-
-    CHECK_EXPRESSION(fir(data, taps), 100, [&](size_t index) -> complex<float> {
-        std::complex<float> result = 0.0;
-        for (size_t i = 0; i < taps.size(); i++)
-            result = result + to_std(data.get(index - i, 0.0)) * taps[i];
-        return from_std(result);
-    });
-
-    CHECK_EXPRESSION(short_fir(data, taps), 100, [&](size_t index) -> complex<float> {
-        std::complex<float> result = 0.0;
-        for (size_t i = 0; i < taps.size(); i++)
-            result = result + to_std(data.get(index - i, 0.0)) * taps[i];
-        return from_std(result);
-    });
-}
-
 template <typename E, typename T, size_t size>
 void test_ir(E&& e, const univector<T, size>& test_vector)
 {
-    substitute(e, to_pointer(unitimpulse<T>()));
+    substitute(e, to_handle(unitimpulse<T>()));
     const univector<T, size> ir = e;
     println(absmaxof(ir - test_vector));
 }
 
-template <typename T, typename... Ts, univector_tag Tag>
-inline const univector<T, Tag>& choose_array(const univector<T, Tag>& array, const univector<Ts, Tag>&...)
-{
-    return array;
-}
-
-template <typename T, typename T2, typename... Ts, univector_tag Tag, KFR_ENABLE_IF(!is_same<T, T2>)>
-inline const univector<T, Tag>& choose_array(const univector<T2, Tag>&, const univector<Ts, Tag>&... arrays)
-{
-    return choose_array<T>(arrays...);
-}
-
-TEST(biquad_lowpass1)
-{
-    testo::matrix(named("type") = ctypes_t<float, double>{}, [](auto type) {
-        using T = typename decltype(type)::type;
-
-        const biquad_params<T> bq = biquad_lowpass<T>(0.1, 0.7);
-
-        constexpr size_t size = 32;
-
-        const univector<float, size> test_vector_f32{
-            +0x8.9bce2p-7,  +0xd.8383ep-6,  +0x8.f908dp-5,  +0xe.edc21p-6,  +0x9.ae104p-6,  +0x9.dcc24p-7,
-            +0xd.50584p-9,  -0xf.2668p-13,  -0xd.09ca1p-10, -0xe.15995p-10, -0xa.b90d2p-10, -0xc.edea4p-11,
-            -0xb.f14eap-12, -0xc.2cb44p-14, +0xb.4a4dep-15, +0xb.685dap-14, +0xa.b181fp-14, +0xf.0cb2bp-15,
-            +0x8.695d6p-15, +0xd.bedd4p-17, +0xf.5474p-20,  -0xd.bb266p-19, -0x9.63ca1p-18, -0xf.ca567p-19,
-            -0xa.5231p-19,  -0xa.9e934p-20, -0xe.ab52p-22,  +0xa.3c4cp-26,  +0xd.721ffp-23, +0xe.ccc1ap-23,
-            +0xb.5f248p-23, +0xd.d2c9ap-24,
-        };
-
-        const univector<double, size> test_vector_f64{
-            +0x8.9bce2bf3663e8p-7,  +0xd.8384010fdf1dp-6,   +0x8.f908e7a36df6p-5,   +0xe.edc2332a6d0bp-6,
-            +0x9.ae104af1da9ap-6,   +0x9.dcc235ef68e7p-7,   +0xd.5057ee425e05p-9,   -0xf.266e42a99aep-13,
-            -0xd.09cad73642208p-10, -0xe.1599f32a83dp-10,   -0xa.b90d8910a117p-10,  -0xc.edeaabb890948p-11,
-            -0xb.f14edbb55383p-12,  -0xc.2cb39b86f2dap-14,  +0xb.4a506ecff055p-15,  +0xb.685edfdb55358p-14,
-            +0xa.b182e32f8e298p-14, +0xf.0cb3dfd894b2p-15,  +0x8.695df725b4438p-15, +0xd.beddc3606b9p-17,
-            +0xf.547004d20874p-20,  -0xd.bb29b25b49b6p-19,  -0x9.63cb9187da1dp-18,  -0xf.ca588634fc618p-19,
-            -0xa.52322d320da78p-19, -0xa.9e9420154e4p-20,   -0xe.ab51f7b0335ap-22,  +0xa.3c6479980e1p-26,
-            +0xd.7223836599fp-23,   +0xe.ccc47ddd18678p-23, +0xb.5f265b1be1728p-23, +0xd.d2cb83f8483f8p-24,
-        };
-
-        const univector<T, size> ir = biquad(bq, unitimpulse<T>());
-
-        CHECK(absmaxof(choose_array<T>(test_vector_f32, test_vector_f64) - ir) == 0);
-    });
-}
-
-TEST(biquad_lowpass2)
-{
-    testo::matrix(named("type") = ctypes_t<float, double>{}, [](auto type) {
-        using T = typename decltype(type)::type;
-
-        const biquad_params<T> bq = biquad_lowpass<T>(0.45, 0.2);
-
-        constexpr size_t size = 32;
-
-        const univector<float, size> test_vector_f32{
-            +0x8.ce416p-4,  +0x8.2979p-4,   -0x8.a9d04p-7,  +0xe.aeb3p-11,  +0x8.204f8p-13, -0x8.20d78p-12,
-            +0x8.3379p-12,  -0xf.83d81p-13, +0xe.8b5c4p-13, -0xd.9ddadp-13, +0xc.bedfcp-13, -0xb.ee123p-13,
-            +0xb.2a9e5p-13, -0xa.73ac4p-13, +0x9.c86f6p-13, -0x9.2828p-13,  +0x8.92229p-13, -0x8.05b7p-13,
-            +0xf.048ffp-14, -0xe.0e849p-14, +0xd.28384p-14, -0xc.50a9p-14,  +0xb.86e56p-14, -0xa.ca0b6p-14,
-            +0xa.19476p-14, -0x9.73d38p-14, +0x8.d8f64p-14, -0x8.48024p-14, +0xf.80aa2p-15, -0xe.82ad8p-15,
-            +0xd.94f22p-15, -0xc.b66d9p-15,
-        };
-
-        const univector<double, size> test_vector_f64{
-            +0x8.ce416c0d31e88p-4,  +0x8.2978efe51dafp-4,   -0x8.a9d088b81da6p-7,   +0xe.aeb56c029358p-11,
-            +0x8.20492639873ap-13,  -0x8.20d4e21aab538p-12, +0x8.3376b2d53b4a8p-12, -0xf.83d3d1c17343p-13,
-            +0xe.8b584f0dd5ac8p-13, -0xd.9dd740ceaacf8p-13, +0xc.bedc85e7a621p-13,  -0xb.ee0f472bf8968p-13,
-            +0xb.2a9baed1fe6cp-13,  -0xa.73a9d1670f4ep-13,  +0x9.c86d29d297798p-13, -0x9.2825f4d894088p-13,
-            +0x8.9220a956d651p-13,  -0x8.05b539fdd79e8p-13, +0xf.048cb5194cfa8p-14, -0xe.0e819fa128938p-14,
-            +0xd.2835957d684cp-14,  -0xc.50a69c2a8dc18p-14, +0xb.86e33bbaf3cbp-14,  -0xa.ca097058af2cp-14,
-            +0xa.1945ad1703dcp-14,  -0x9.73d1eef7d8b68p-14, +0x8.d8f4df1bb3efp-14,  -0x8.48010323c6f7p-14,
-            +0xf.80a7f5baeeb2p-15,  -0xe.82ab94bb68a8p-15,  +0xd.94f05f80af008p-15, -0xc.b66c0799b21a8p-15,
-        };
-
-        const univector<T, size> ir = biquad(bq, unitimpulse<T>());
-
-        CHECK(absmaxof(choose_array<T>(test_vector_f32, test_vector_f64) - ir) == 0);
-    });
-}
-
-TEST(resampler_test)
-{
-    const int in_sr  = 44100;
-    const int out_sr = 48000;
-    const int freq   = 100;
-    auto resampler   = sample_rate_converter<fbase>(resample_quality::draft, out_sr, in_sr);
-    double delay     = resampler.get_fractional_delay();
-    univector<fbase> out(out_sr / 10);
-    univector<fbase> in  = truncate(sin(c_pi<fbase> * phasor<fbase>(freq, in_sr, 0)), in_sr / 10);
-    univector<fbase> ref = truncate(
-        sin(c_pi<fbase> * phasor<fbase>(freq, out_sr, -delay * (static_cast<double>(freq) / out_sr))),
-        out_sr / 10);
-    resampler.process(out, in);
-
-    CHECK(rms(slice(out - ref, static_cast<size_t>(ceil(delay * 2)))) < 0.005f);
-}
-TEST(resampler_test_complex)
-{
-    using type = complex<fbase>;
-    const int in_sr  = 44100;
-    const int out_sr = 48000;
-    const int freq   = 100;
-    auto resampler   = sample_rate_converter<type>(resample_quality::draft, out_sr, in_sr);
-    double delay     = resampler.get_fractional_delay();
-    univector<type> out(out_sr / 10);
-    univector<type> in  = truncate(sin(c_pi<fbase> * phasor<fbase>(freq, in_sr, 0)), in_sr / 10);
-    univector<type> ref = truncate(
-        sin(c_pi<fbase> * phasor<fbase>(freq, out_sr, -delay * (static_cast<double>(freq) / out_sr))),
-        out_sr / 10);
-    resampler.process(out, in);
-
-    CHECK(rms(cabs(slice(out - ref, static_cast<size_t>(ceil(delay * 2))))) < 0.005f);
-}
 } // namespace CMT_ARCH_NAME
 
 #ifndef KFR_NO_MAIN
diff --git a/tests/expression_test.cpp b/tests/expression_test.cpp
@@ -16,95 +16,6 @@ using namespace kfr;
 namespace CMT_ARCH_NAME
 {
 
-TEST(pack)
-{
-    static_assert(is_same<vec<f32x2, 1>, invoke_result<fn::reverse, vec<f32x2, 1>>>);
-    const univector<float, 21> v1 = 1 + counter();
-    const univector<float, 21> v2 = v1 * 11;
-
-    CHECK_EXPRESSION(pack(v1, v2), 21, [](float i) { return f32x2{ 1 + i, (1 + i) * 11 }; });
-
-    CHECK_EXPRESSION(bind_expression(fn::reverse(), pack(v1, v2)), 21, [](float i) {
-        return f32x2{ (1 + i) * 11, 1 + i };
-    });
-}
-
-TEST(adjacent)
-{
-    CHECK_EXPRESSION(adjacent(fn::mul(), counter()), infinite_size,
-                     [](size_t i) { return i > 0 ? i * (i - 1) : 0; });
-}
-
-TEST(padded)
-{
-    static_assert(is_infinite<decltype(padded(counter()))>, "");
-    static_assert(is_infinite<decltype(padded(truncate(counter(), 100)))>, "");
-
-    CHECK_EXPRESSION(padded(truncate(counter(), 6), -1), infinite_size,
-                     [](size_t i) { return i >= 6 ? -1 : i; });
-
-    CHECK_EXPRESSION(padded(truncate(counter(), 0), -1), infinite_size, [](size_t i) { return -1; });
-
-    CHECK_EXPRESSION(padded(truncate(counter(), 501), -1), infinite_size,
-                     [](size_t i) { return i >= 501 ? -1 : i; });
-}
-
-TEST(rebind)
-{
-    auto c_minus_two  = counter() - 2;
-    auto four_minus_c = rebind(c_minus_two, 4, counter());
-    CHECK_EXPRESSION(c_minus_two, infinite_size, [](size_t i) { return i - 2; });
-    CHECK_EXPRESSION(four_minus_c, infinite_size, [](size_t i) { return 4 - i; });
-}
-
-TEST(test_arg_access)
-{
-    univector<float> v1(10);
-    v1                       = counter();
-    auto e1                  = std::move(v1) + 10;
-    std::get<0>(e1.args)[0]  = 100;
-    std::get<1>(e1.args).val = 1;
-
-    CHECK_EXPRESSION(e1, 10, [](size_t i) { return (i == 0 ? 100 : i) + 1; });
-}
-
-TEST(to_pointer)
-{
-    auto e1 = to_pointer(counter<float>());
-
-    CHECK_EXPRESSION(e1, infinite_size, [](size_t i) { return static_cast<float>(i); });
-
-    auto e2 = to_pointer(gen_linear(0.f, 1.f));
-
-    CHECK_EXPRESSION(e2, infinite_size, [](size_t i) { return static_cast<float>(i); });
-}
-
-TEST(test_arg_replace)
-{
-    univector<float, 10> v1 = counter();
-    univector<float, 10> v2 = -counter();
-    auto e1                 = to_pointer(v1) * 10;
-    std::get<0>(e1.args)    = to_pointer(v2);
-
-    CHECK_EXPRESSION(e1, 10, [](size_t i) { return i * -10.0; });
-}
-
-TEST(placeholders)
-{
-    auto expr = 100 * placeholder<float>();
-    CHECK_EXPRESSION(expr, infinite_size, [](size_t) { return 0.f; });
-    substitute(expr, to_pointer(counter<float>()));
-    CHECK_EXPRESSION(expr, infinite_size, [](size_t i) { return 100.f * i; });
-}
-
-TEST(placeholders_pointer)
-{
-    expression_pointer<float> expr = to_pointer(10 * placeholder<float>());
-    CHECK_EXPRESSION(expr, infinite_size, [](size_t) { return 0.f; });
-    substitute(expr, to_pointer(counter<float>()));
-    CHECK_EXPRESSION(expr, infinite_size, [](size_t i) { return 10.f * i; });
-}
-
 TEST(univector_assignment)
 {
     univector<int> x = truncate(counter(), 10);
@@ -115,28 +26,12 @@ TEST(univector_assignment)
     CHECK(y.size() == 10u);
 }
 
-TEST(size_calc)
-{
-    auto a = counter();
-    CHECK(a.size() == infinite_size);
-    auto b = slice(counter(), 100);
-    CHECK(b.size() == infinite_size);
-    auto c = slice(counter(), 100, 1000);
-    CHECK(c.size() == 1000u);
-    auto d = slice(c, 100);
-    CHECK(d.size() == 900u);
-}
-
-TEST(reverse)
-{
-    CHECK_EXPRESSION(reverse(truncate(counter(), 21)), 21, [](size_t i) { return 20 - i; });
-}
-
 TEST(mix)
 {
-    CHECK_EXPRESSION(mix(sequence(0, 0.5f, 1, 0.5f), counter(), counter() * 10), infinite_size, [](size_t i) {
-        return mix(std::array<float, 4>{ 0, 0.5f, 1, 0.5f }[i % 4], i, i * 10);
-    });
+    CHECK_EXPRESSION(mix(sequence(0, 0.5f, 1, 0.5f), counter(), counter() * 10), infinite_size,
+                     [](size_t i) {
+                         return mix(std::array<float, 4>{ 0, 0.5f, 1, 0.5f }[i % 4], i, i * 10);
+                     });
 }
 
 TEST(expression_mask)
@@ -146,42 +41,6 @@ TEST(expression_mask)
     x = select(x > y, 0.5f, 0.1f) * (y - x) + x;
 }
 
-constexpr inline size_t fast_range_sum(size_t stop) { return stop * (stop + 1) / 2; }
-
-TEST(partition)
-{
-    {
-        univector<double, 385> output = zeros();
-        auto result                   = partition(output, counter(), 5, 1);
-        CHECK(result.count == 5u);
-        CHECK(result.chunk_size == 80u);
-
-        result(0);
-        CHECK(sum(output) >= fast_range_sum(80 - 1));
-        result(1);
-        CHECK(sum(output) >= fast_range_sum(160 - 1));
-        result(2);
-        CHECK(sum(output) >= fast_range_sum(240 - 1));
-        result(3);
-        CHECK(sum(output) >= fast_range_sum(320 - 1));
-        result(4);
-        CHECK(sum(output) == fast_range_sum(385 - 1));
-    }
-
-    {
-        univector<double, 385> output = zeros();
-        auto result                   = partition(output, counter(), 5, 160);
-        CHECK(result.count == 3u);
-        CHECK(result.chunk_size == 160u);
-
-        result(0);
-        CHECK(sum(output) >= fast_range_sum(160 - 1));
-        result(1);
-        CHECK(sum(output) >= fast_range_sum(320 - 1));
-        result(2);
-        CHECK(sum(output) == fast_range_sum(385 - 1));
-    }
-}
 } // namespace CMT_ARCH_NAME
 
 #ifndef KFR_NO_MAIN
diff --git a/tests/intrinsic_test.cpp b/tests/intrinsic_test.cpp
@@ -107,7 +107,8 @@ TEST(intrin_sqrt)
     CHECK(kfr::sqrt(make_vector(9)) == make_vector<fbase>(3.0));
     CHECK(kfr::sqrt(make_vector(-9)) == make_vector<fbase>(qnan));
     testo::matrix(named("type") = float_vector_types<vec>, named("value") = std::vector<int>{ 0, 2, 65536 },
-                  [](auto type, int value) {
+                  [](auto type, int value)
+                  {
                       using T = typename decltype(type)::type;
                       const T x(value);
                       CHECK(kfr::sqrt(x) == apply([](auto x) -> decltype(x) { return std::sqrt(x); }, x));
@@ -117,7 +118,8 @@ TEST(intrin_sqrt)
 TEST(intrin_satadd_satsub)
 {
     testo::matrix(named("type") = cconcat(signed_vector_types<vec>, unsigned_vector_types<vec>),
-                  [](auto type) {
+                  [](auto type)
+                  {
                       using T     = typename decltype(type)::type;
                       using Tsub  = subtype<T>;
                       const T min = std::numeric_limits<Tsub>::min();
@@ -144,23 +146,25 @@ TEST(intrin_satadd_satsub)
 
 TEST(intrin_any_all)
 {
-    testo::matrix(named("type") = unsigned_vector_types<vec>, [](auto type) {
-        using T                = typename decltype(type)::type;
-        constexpr size_t width = widthof<T>();
-        using Tsub             = subtype<T>;
-        const auto x           = enumerate<Tsub, width>() == Tsub(0);
-        CHECK(any(x) == true);
-        if (width == 1)
-            CHECK(all(x) == true);
-        else
-            CHECK(all(x) == false);
-        const auto y = zerovector<Tsub, width>() == Tsub(127);
-        CHECK(all(y) == false);
-        CHECK(any(y) == false);
-        const auto z = zerovector<Tsub, width>() == Tsub(0);
-        CHECK(all(z) == true);
-        CHECK(any(z) == true);
-    });
+    testo::matrix(named("type") = unsigned_vector_types<vec>,
+                  [](auto type)
+                  {
+                      using T                = typename decltype(type)::type;
+                      constexpr size_t width = widthof<T>();
+                      using Tsub             = subtype<T>;
+                      const auto x           = enumerate<Tsub, width>() == Tsub(0);
+                      CHECK(any(x) == true);
+                      if (width == 1)
+                          CHECK(all(x) == true);
+                      else
+                          CHECK(all(x) == false);
+                      const auto y = zerovector<Tsub, width>() == Tsub(127);
+                      CHECK(all(y) == false);
+                      CHECK(any(y) == false);
+                      const auto z = zerovector<Tsub, width>() == Tsub(0);
+                      CHECK(all(z) == true);
+                      CHECK(any(z) == true);
+                  });
 }
 
 } // namespace CMT_ARCH_NAME
diff --git a/tests/numeric_tests.hpp b/tests/numeric_tests.hpp
@@ -10,6 +10,8 @@
 namespace kfr
 {
 
+inline bool show_measured_accuracy = false;
+
 using testo::test_data_entry;
 
 inline namespace CMT_ARCH_NAME
@@ -55,7 +57,7 @@ uint64_t ulps(vec<T, N> x, vec<T, N> y)
 inline const char* tname(ctype_t<f32>) { return "float"; }
 inline const char* tname(ctype_t<f64>) { return "double"; }
 
-#define CHECK_DIFF(x_arg, y_arg, threshold)                                                                  \
+#define CHECK_DIFF(x_arg, y_arg, threshold, file, line)                                                      \
     do                                                                                                       \
     {                                                                                                        \
         ++checks_count;                                                                                      \
@@ -67,57 +69,67 @@ inline const char* tname(ctype_t<f64>) { return "double"; }
         ::testo::active_test()->check(                                                                       \
             arg_diff <= threshold,                                                                           \
             ::cometa::as_string(x_arg_value, " ~= ", y_arg_value, " (", arg_diff, " <= ", threshold, ")"),   \
-            #x_arg " ~= " #y_arg);                                                                           \
+            #x_arg " ~= " #y_arg, file, line);                                                               \
     } while (0)
 
 #define KFR_AUTO_TEST_1(fn, datafile, maxulps, avgulps)                                                      \
     TEST(fn##_##datafile)                                                                                    \
     {                                                                                                        \
-        testo::matrix(named("type") = vector_types(), [&](auto type) {                                       \
-            using T               = typename decltype(type)::type;                                           \
-            using Tsub            = subtype<T>;                                                              \
-            double error_sum      = 0.0;                                                                     \
-            uint64_t error_peak   = 0;                                                                       \
-            uint64_t checks_count = 0;                                                                       \
-            std::shared_ptr<file_reader<test_data_entry<Tsub, 1>>> reader =                                  \
-                open_file_for_reading<test_data_entry<Tsub, 1>>(                                             \
-                    std::string(KFR_SRC_DIR "/tests/data/" #fn "_") + tname(ctype<Tsub>) + "_" #datafile);   \
-            test_data_entry<Tsub, 1> entry;                                                                  \
-            while (reader->read(entry))                                                                      \
-            {                                                                                                \
-                testo::scope s(as_string(entry.arguments[0]));                                               \
-                CHECK_DIFF(kfr::fn(entry.arguments[0]), entry.result, maxulps);                              \
-            }                                                                                                \
-            CHECK(checks_count > 0u);                                                                        \
-            CHECK(error_sum / checks_count <= avgulps);                                                      \
-            println("measured accuracy: ", tname(ctype<Tsub>), " ", error_sum / checks_count, "(peak ",      \
-                    error_peak, ")");                                                                        \
-        });                                                                                                  \
+        testo::matrix(named("type") = vector_types(),                                                        \
+                      [&](auto type)                                                                         \
+                      {                                                                                      \
+                          using T               = typename decltype(type)::type;                             \
+                          using Tsub            = subtype<T>;                                                \
+                          double error_sum      = 0.0;                                                       \
+                          uint64_t error_peak   = 0;                                                         \
+                          uint64_t checks_count = 0;                                                         \
+                          std::shared_ptr<file_reader<test_data_entry<Tsub, 1>>> reader =                    \
+                              open_file_for_reading<test_data_entry<Tsub, 1>>(                               \
+                                  std::string(KFR_SRC_DIR "/tests/data/" #fn "_") +                          \
+                                  tname(cometa::ctype<Tsub>) + "_" #datafile);                               \
+                          test_data_entry<Tsub, 1> entry;                                                    \
+                          while (reader->read(entry))                                                        \
+                          {                                                                                  \
+                              testo::scope s(as_string(entry.arguments[0]));                                 \
+                              CHECK_DIFF(kfr::fn(entry.arguments[0]), entry.result, maxulps, __FILE__,       \
+                                         __LINE__);                                                          \
+                          }                                                                                  \
+                          CHECK(checks_count > 0u);                                                          \
+                          CHECK(error_sum / checks_count <= avgulps);                                        \
+                          if (show_measured_accuracy)                                                        \
+                              println("measured accuracy: ", tname(cometa::ctype<Tsub>), " ",                \
+                                      error_sum / checks_count, "(peak ", error_peak, ")");                  \
+                      });                                                                                    \
     }
 
 #define KFR_AUTO_TEST_2(fn, datafile, maxulps, avgulps)                                                      \
     TEST(fn##_##datafile)                                                                                    \
     {                                                                                                        \
-        testo::matrix(named("type") = vector_types(), [&](auto type) {                                       \
-            using T               = typename decltype(type)::type;                                           \
-            using Tsub            = subtype<T>;                                                              \
-            double error_sum      = 0.0;                                                                     \
-            uint64_t error_peak   = 0;                                                                       \
-            uint64_t checks_count = 0;                                                                       \
-            std::shared_ptr<file_reader<test_data_entry<Tsub, 2>>> reader =                                  \
-                open_file_for_reading<test_data_entry<Tsub, 2>>(                                             \
-                    std::string(KFR_SRC_DIR "/tests/data/" #fn "_") + tname(ctype<Tsub>) + "_" #datafile);   \
-            test_data_entry<Tsub, 2> entry;                                                                  \
-            while (reader->read(entry))                                                                      \
-            {                                                                                                \
-                testo::scope s(as_string(entry.arguments[0], entry.arguments[1]));                           \
-                CHECK_DIFF(kfr::fn(entry.arguments[0], entry.arguments[1]), entry.result, maxulps);          \
-            }                                                                                                \
-            CHECK(checks_count > 0u);                                                                        \
-            CHECK(error_sum / checks_count <= avgulps);                                                      \
-            println("measured accuracy: ", tname(ctype<Tsub>), " ", error_sum / checks_count, "(peak ",      \
-                    error_peak, ")");                                                                        \
-        });                                                                                                  \
+        testo::matrix(named("type") = vector_types(),                                                        \
+                      [&](auto type)                                                                         \
+                      {                                                                                      \
+                          using T               = typename decltype(type)::type;                             \
+                          using Tsub            = subtype<T>;                                                \
+                          double error_sum      = 0.0;                                                       \
+                          uint64_t error_peak   = 0;                                                         \
+                          uint64_t checks_count = 0;                                                         \
+                          std::shared_ptr<file_reader<test_data_entry<Tsub, 2>>> reader =                    \
+                              open_file_for_reading<test_data_entry<Tsub, 2>>(                               \
+                                  std::string(KFR_SRC_DIR "/tests/data/" #fn "_") +                          \
+                                  tname(cometa::ctype<Tsub>) + "_" #datafile);                               \
+                          test_data_entry<Tsub, 2> entry;                                                    \
+                          while (reader->read(entry))                                                        \
+                          {                                                                                  \
+                              testo::scope s(as_string(entry.arguments[0], entry.arguments[1]));             \
+                              CHECK_DIFF(kfr::fn(entry.arguments[0], entry.arguments[1]), entry.result,      \
+                                         maxulps, __FILE__, __LINE__);                                       \
+                          }                                                                                  \
+                          CHECK(checks_count > 0u);                                                          \
+                          CHECK(error_sum / checks_count <= avgulps);                                        \
+                          if (show_measured_accuracy)                                                        \
+                              println("measured accuracy: ", tname(cometa::ctype<Tsub>), " ",                \
+                                      error_sum / checks_count, "(peak ", error_peak, ")");                  \
+                      });                                                                                    \
     }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/tests/tensor_test.cpp b/tests/tensor_test.cpp
@@ -0,0 +1,14 @@
+#include "kfr/runtime.hpp"
+#include "kfr/testo/testo.hpp"
+#include "kfr/version.hpp"
+
+using namespace kfr;
+
+#ifndef KFR_NO_MAIN
+int main()
+{
+    println(library_version(), " running on ", cpu_runtime());
+
+    return testo::run_all("", false);
+}
+#endif
diff --git a/tests/unit/base/base.cpp b/tests/unit/base/base.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base.hpp>
diff --git a/tests/unit/base/basic_expressions.cpp b/tests/unit/base/basic_expressions.cpp
@@ -0,0 +1,157 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/basic_expressions.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/univector.hpp>
+#include <kfr/io/tostring.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(linspace)
+{
+    testo::eplison_scope<> eps(10);
+    CHECK_EXPRESSION(linspace(0.0, 1.0, 5, true, ctrue), { 0.0, 0.25, 0.50, 0.75, 1.0 });
+    CHECK_EXPRESSION(linspace(0.0, 1.0, 4, false, ctrue), { 0.0, 0.25, 0.50, 0.75 });
+    CHECK(get_shape(linspace(0.0, 1.0, 5, true, cfalse)) == shape{ infinite_size });
+    CHECK_EXPRESSION(linspace(0.0, 1.0, 4, false, ctrue), { 0.0, 0.25, 0.50, 0.75 });
+    CHECK_EXPRESSION(symmlinspace(3.0, 4, ctrue), { -3.0, -1.00, 1.00, 3.00 });
+
+    CHECK_EXPRESSION(linspace(1, 21, 4, false, ctrue), { 1, 6, 11, 16 });
+    CHECK_EXPRESSION(linspace(1, 21, 4, true, ctrue), { 1, 7.66666667f, 14.3333333f, 21 });
+}
+
+TEST(counter_shape)
+{
+    CHECK(get_shape(1) == shape{});
+    CHECK(get_shape(counter()) == shape{ infinite_size });
+    CHECK(get_shape(counter() + 1) == shape{ infinite_size });
+    CHECK(get_shape(counter(0, 1, 1)) == shape{ infinite_size, infinite_size });
+}
+
+TEST(pack)
+{
+    static_assert(std::is_same_v<vec<f32x2, 1>, std::invoke_result_t<fn::reverse, vec<f32x2, 1>>>);
+    const univector<float, 21> v1 = 1 + counter();
+    const univector<float, 21> v2 = v1 * 11;
+
+    CHECK_EXPRESSION(pack(v1, v2), 21, [](float i) { return f32x2{ 1 + i, (1 + i) * 11 }; });
+
+    CHECK_EXPRESSION(bind_expression(fn::reverse(), pack(v1, v2)), 21,
+                     [](float i) {
+                         return f32x2{ (1 + i) * 11, 1 + i };
+                     });
+}
+
+TEST(adjacent)
+{
+    CHECK_EXPRESSION(adjacent(fn::mul(), counter()), infinite_size,
+                     [](size_t i) { return i > 0 ? i * (i - 1) : 0; });
+}
+
+TEST(dimensions)
+{
+    static_assert(expression_dims<decltype(scalar(0))> == 0);
+    static_assert(expression_dims<decltype(dimensions<1>(scalar(0)))> == 1);
+
+    static_assert(get_shape<decltype(scalar(0))>() == shape{});
+    static_assert(get_shape<decltype(dimensions<1>(scalar(0)))>() == shape{ infinite_size });
+    static_assert(get_shape<decltype(dimensions<2>(dimensions<1>(scalar(0))))>() ==
+                  shape{ infinite_size, infinite_size });
+    CHECK_EXPRESSION(truncate(dimensions<1>(scalar(1)), 10), { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 });
+}
+
+TEST(padded)
+{
+    static_assert(is_infinite<decltype(padded(counter()))>, "");
+    static_assert(is_infinite<decltype(padded(truncate(counter(), 100)))>, "");
+
+    CHECK_EXPRESSION(padded(truncate(counter(), 6), -1), infinite_size,
+                     [](size_t i) { return i >= 6 ? -1 : i; });
+
+    CHECK_EXPRESSION(padded(truncate(counter(), 0), -1), infinite_size, [](size_t i) { return -1; });
+
+    CHECK_EXPRESSION(padded(truncate(counter(), 501), -1), infinite_size,
+                     [](size_t i) { return i >= 501 ? -1 : i; });
+}
+
+TEST(concatenate)
+{
+    CHECK_EXPRESSION(concatenate(truncate(counter(5, 0), 5), truncate(counter(10, 0), 5)),
+                     { 5, 5, 5, 5, 5, 10, 10, 10, 10, 10 });
+}
+
+TEST(rebind)
+{
+    auto c_minus_two  = counter() - 2;
+    auto four_minus_c = rebind(c_minus_two, 4, counter());
+    CHECK_EXPRESSION(counter(), infinite_size, [](size_t i) { return i; });
+    CHECK_EXPRESSION(c_minus_two, infinite_size, [](size_t i) { return i - 2; });
+    CHECK_EXPRESSION(four_minus_c, infinite_size, [](size_t i) { return 4 - i; });
+}
+
+TEST(test_arg_access)
+{
+    univector<float> v1(10);
+    v1                      = counter();
+    auto e1                 = std::move(v1) + 10;
+    std::get<0>(e1.args)[0] = 100;
+    std::get<1>(e1.args)    = 1;
+
+    CHECK_EXPRESSION(e1, 10, [](size_t i) { return (i == 0 ? 100 : i) + 1; });
+}
+
+TEST(size_calc)
+{
+    auto a = counter();
+    CHECK(get_shape(a) == shape{ infinite_size });
+    auto b = slice(counter(), 100);
+    CHECK(get_shape(b) == shape{ infinite_size });
+    auto c = slice(counter(), 100, 1000);
+    CHECK(get_shape(c) == shape{ 1000 });
+    auto d = slice(c, 100);
+    CHECK(get_shape(d) == shape{ 900 });
+}
+
+TEST(reverse_expression)
+{
+    CHECK_EXPRESSION(reverse(truncate(counter(), 21)), 21, [](size_t i) { return 20 - i; });
+}
+
+TEST(sequence)
+{
+    CHECK_EXPRESSION(sequence(0, 0.5f, 1, 0.5f), infinite_size,
+                     [](size_t i) {
+                         return std::array<float, 4>{ 0, 0.5f, 1, 0.5f }[i % 4];
+                     });
+}
+
+TEST(assign_expression)
+{
+    univector<float> f = truncate(counter(0, 1), 10);
+    f *= 10;
+    CHECK_EXPRESSION(f, { 0, 10, 20, 30, 40, 50, 60, 70, 80, 90 });
+
+    univector<float> a = truncate(counter(0, 1), 10);
+    univector<float> b = truncate(counter(100, 1), 10);
+    pack(a, b) *= broadcast<2>(10.f);
+    CHECK_EXPRESSION(a, { 0, 10, 20, 30, 40, 50, 60, 70, 80, 90 });
+    CHECK_EXPRESSION(b, { 1000, 1010, 1020, 1030, 1040, 1050, 1060, 1070, 1080, 1090 });
+
+    static_assert(std::is_same_v<std::common_type_t<f32x2x2, f32x2x2>, f32x2x2>);
+    static_assert(
+        std::is_same_v<std::common_type_t<vec<vec<double, 2>, 1>, vec<double, 2>>, vec<vec<double, 2>, 1>>);
+}
+
+TEST(trace) { render(trace(counter()), 44); }
+
+TEST(get_element) { CHECK(get_element(counter(0, 1, 10, 100), { 1, 2, 3 }) == 321); }
+
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/base/conversion.cpp b/tests/unit/base/conversion.cpp
@@ -7,6 +7,7 @@
 #include <kfr/base/conversion.hpp>
 
 #include <kfr/base/basic_expressions.hpp>
+#include <kfr/base/simd_expressions.hpp>
 
 #include <kfr/base/reduce.hpp>
 
diff --git a/tests/unit/base/generators.cpp b/tests/unit/base/generators.cpp
@@ -0,0 +1,33 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/basic_expressions.hpp>
+#include <kfr/base/generators.hpp>
+#include <kfr/base/math_expressions.hpp>
+#include <kfr/base/reduce.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/univector.hpp>
+
+using namespace kfr;
+
+namespace CMT_ARCH_NAME
+{
+
+TEST(test_gen_expj)
+{
+    univector<cbase> v = truncate(gen_expj(0.f, constants<float>::pi_s(2) * 0.1f), 1000);
+    CHECK(rms(cabs(
+              v.slice(990) -
+              univector<cbase>({ cbase(1., +0.00000000e+00), cbase(0.80901699, +5.87785252e-01),
+                                 cbase(0.30901699, +9.51056516e-01), cbase(-0.30901699, +9.51056516e-01),
+                                 cbase(-0.80901699, +5.87785252e-01), cbase(-1., +1.22464680e-16),
+                                 cbase(-0.80901699, -5.87785252e-01), cbase(-0.30901699, -9.51056516e-01),
+                                 cbase(0.30901699, -9.51056516e-01), cbase(0.80901699, -5.87785252e-01) }))) <
+          0.00006); // error here depends on vector width
+    // In most cases error is much lower (less than 0.00001)
+}
+
+} // namespace CMT_ARCH_NAME
diff --git a/tests/unit/base/handle.cpp b/tests/unit/base/handle.cpp
@@ -0,0 +1,57 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/generators.hpp>
+#include <kfr/base/handle.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/univector.hpp>
+#include <kfr/io/tostring.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+TEST(to_handle)
+{
+    auto e1 = to_handle(counter<float>());
+
+    CHECK_EXPRESSION(e1, infinite_size, [](size_t i) { return static_cast<float>(i); });
+
+    auto e2 = to_handle(gen_linear(0.f, 1.f));
+
+    CHECK_EXPRESSION(e2, infinite_size, [](size_t i) { return static_cast<float>(i); });
+}
+
+TEST(test_arg_replace)
+{
+    univector<float, 10> v1 = counter();
+    univector<float, 10> v2 = -counter();
+    auto e1                 = to_handle(v1) * 10;
+    std::get<0>(e1.args)    = to_handle(v2);
+
+    CHECK_EXPRESSION(e1, 10, [](size_t i) { return i * -10.0; });
+}
+
+TEST(placeholders)
+{
+    auto expr1 = placeholder<float>();
+    CHECK_EXPRESSION(expr1, infinite_size, [](size_t) { return 0.f; });
+    auto expr2 = 100 * placeholder<float>();
+    CHECK_EXPRESSION(expr2, infinite_size, [](size_t) { return 0.f; });
+    substitute(expr2, to_handle(counter<float>()));
+    CHECK_EXPRESSION(expr2, infinite_size, [](size_t i) { return 100.f * i; });
+}
+
+TEST(placeholders_handle)
+{
+    expression_handle<float> expr = to_handle(10 * placeholder<float>());
+    CHECK_EXPRESSION(expr, infinite_size, [](size_t) { return 0.f; });
+    substitute(expr, to_handle(counter<float>()));
+    CHECK_EXPRESSION(expr, infinite_size, [](size_t i) { return 10.f * i; });
+}
+
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/base/random.cpp b/tests/unit/base/random.cpp
@@ -14,15 +14,15 @@ inline namespace CMT_ARCH_NAME
 {
 
 template <typename T, size_t N>
-static void test_random(kfr::random_bit_generator& gen, const vec<T, N>& value)
+static void test_random(random_state& state, const vec<T, N>& value)
 {
-    const vec<T, N> r = kfr::random_uniform<T, N>(gen);
+    const vec<T, N> r = kfr::random_uniform<T, N>(state);
     CHECK(r == value);
 }
 
 TEST(random_bit_generator)
 {
-    kfr::random_bit_generator gen(1, 2, 3, 4);
+    random_state gen = random_init(1, 2, 3, 4);
     test_random(gen, pack<u8>(21, 62, 88, 30, 46, 234, 205, 29, 41, 190, 212, 81, 217, 135, 218, 227));
     test_random(gen, pack<u16>(48589, 33814, 55928, 14799, 26904, 18521, 20808, 50888));
     test_random(gen, pack<u32>(1554764222, 1538765785, 2072590063, 2837641155));
@@ -66,11 +66,35 @@ TEST(random_bit_generator)
 
 TEST(gen_random_range)
 {
-    random_bit_generator gen(1, 2, 3, 4);
-    univector<fbase, 1000> v = kfr::gen_random_range<fbase>(std::ref(gen), -1.0, 1.0);
-    CHECK(kfr::minof(v) >= fbase(-1.0));
-    CHECK(kfr::maxof(v) <= fbase(1.0));
-    println(kfr::mean(v));
+    random_state gen         = random_init(1, 2, 3, 4);
+    univector<fbase, 1000> v = gen_random_range<fbase>(std::ref(gen), -1.0, 1.0);
+    CHECK(minof(v) >= fbase(-1.0));
+    CHECK(maxof(v) <= fbase(1.0));
+    // println(mean(v));
+}
+
+TEST(random_normal)
+{
+    random_state gen = random_init(1, 2, 3, 4);
+    vec<fbase, 12> r = random_normal<12, fbase>(gen, 0.0, 1.0);
+    println(r);
+    r                 = random_normal<12, fbase>(gen, 0.0, 1.0);
+    vec<fbase, 11> r2 = random_normal<11, fbase>(gen, 0.0, 1.0);
+    println(r2);
+
+    expression_histogram h = histogram_expression<20>(gen_random_normal<double>(std::ref(gen)) * 0.15 + 0.5);
+    sink(truncate(h, 1000));
+    println(h.data.below());
+    println(h.data.values());
+    println(h.data.above());
+    sink(truncate(h, 10000));
+    println(h.data.below());
+    println(h.data.values());
+    println(h.data.above());
+    auto hh = histogram(truncate(h, 100000), 20);
+    println(hh.below());
+    println(hh.values());
+    println(hh.above());
 }
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/tests/unit/base/reduce.cpp b/tests/unit/base/reduce.cpp
@@ -5,6 +5,8 @@
  */
 
 #include <kfr/base/reduce.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/univector.hpp>
 
 namespace kfr
 {
@@ -50,5 +52,12 @@ TEST(reduce)
         CHECK(product(a) == -1080);
     }
 }
+
+TEST(dotproduct)
+{
+    univector<float, 177> v1 = counter();
+    univector<float, 177> v2 = counter() * 2 + 10;
+    CHECK(dotproduct(v1, v2) == 3821312);
+}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/tests/unit/base/shape.cpp b/tests/unit/base/shape.cpp
@@ -0,0 +1,76 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/shape.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(shape)
+{
+    using internal_generic::increment_indices_return;
+    using internal_generic::null_index;
+    CHECK(size_of_shape(shape{ 4, 3 }) == 12);
+    CHECK(size_of_shape(shape{ 1 }) == 1);
+    CHECK(size_of_shape<1>(1) == 1);
+    shape<1> sh1 = 1;
+    sh1          = 2;
+
+    CHECK(internal_generic::strides_for_shape(shape{ 2, 3, 4 }) == shape{ 12, 4, 1 });
+
+    CHECK(internal_generic::strides_for_shape(shape{ 2, 3, 4 }, 10) == shape{ 120, 40, 10 });
+
+    CHECK(increment_indices_return(shape{ 0, 0, 0 }, shape{ 0, 0, 0 }, shape{ 2, 3, 4 }) == shape{ 0, 0, 1 });
+    CHECK(increment_indices_return(shape{ 0, 0, 3 }, shape{ 0, 0, 0 }, shape{ 2, 3, 4 }) == shape{ 0, 1, 0 });
+    CHECK(increment_indices_return(shape{ 0, 2, 0 }, shape{ 0, 0, 0 }, shape{ 2, 3, 4 }) == shape{ 0, 2, 1 });
+    CHECK(increment_indices_return(shape{ 0, 2, 3 }, shape{ 0, 0, 0 }, shape{ 2, 3, 4 }) == shape{ 1, 0, 0 });
+    CHECK(increment_indices_return(shape{ 1, 2, 3 }, shape{ 0, 0, 0 }, shape{ 2, 3, 4 }) ==
+          shape{ null_index, null_index, null_index });
+
+    CHECK(shape{ 3, 4, 5 }.to_flat(shape{ 0, 0, 0 }) == 0);
+    CHECK(shape{ 3, 4, 5 }.to_flat(shape{ 2, 3, 4 }) == 59);
+
+    CHECK(shape{ 3, 4, 5 }.from_flat(0) == shape{ 0, 0, 0 });
+    CHECK(shape{ 3, 4, 5 }.from_flat(59) == shape{ 2, 3, 4 });
+}
+TEST(shape_broadcast)
+{
+    using internal_generic::can_assign_from;
+    using internal_generic::common_shape;
+    using internal_generic::same_layout;
+
+    CHECK(common_shape(shape{ 1, 5 }, shape{ 5, 1 }) == shape{ 5, 5 });
+    CHECK(common_shape(shape{ 5 }, shape{ 5, 1 }) == shape{ 5, 5 });
+    CHECK(common_shape(shape{ 1, 1, 1 }, shape{ 2, 5, 1 }) == shape{ 2, 5, 1 });
+    CHECK(common_shape(shape{ 1 }, shape{ 2, 5, 7 }) == shape{ 2, 5, 7 });
+
+    CHECK(common_shape(shape{}, shape{ 0 }) == shape{ 0 });
+    CHECK(common_shape(shape{}, shape{ 0, 0 }) == shape{ 0, 0 });
+    CHECK(common_shape(shape{ 0 }, shape{ 0, 0 }) == shape{ 0, 0 });
+
+    CHECK(common_shape<true>(shape{}, shape{ 0 }) == shape{ 0 });
+    CHECK(common_shape<true>(shape{}, shape{ 0, 0 }) == shape{ 0, 0 });
+    CHECK(common_shape<true>(shape{ 0 }, shape{ 0, 0 }) == shape{ 0, 0 });
+
+    CHECK(can_assign_from(shape{ 1, 4 }, shape{ 1, 4 }));
+    CHECK(!can_assign_from(shape{ 1, 4 }, shape{ 4, 1 }));
+    CHECK(can_assign_from(shape{ 1, 4 }, shape{ 1, 1 }));
+    CHECK(can_assign_from(shape{ 1, 4 }, shape{ 1 }));
+    CHECK(can_assign_from(shape{ 1, 4 }, shape{}));
+
+    CHECK(same_layout(shape{ 2, 3, 4 }, shape{ 2, 3, 4 }));
+    CHECK(same_layout(shape{ 1, 2, 3, 4 }, shape{ 2, 3, 4 }));
+    CHECK(same_layout(shape{ 2, 3, 4 }, shape{ 2, 1, 1, 3, 4 }));
+    CHECK(same_layout(shape{ 2, 3, 4 }, shape{ 2, 3, 4, 1 }));
+    CHECK(same_layout(shape{ 2, 1, 3, 4 }, shape{ 1, 2, 3, 4, 1 }));
+
+    CHECK(!same_layout(shape{ 2, 1, 3, 4 }, shape{ 1, 2, 4, 3, 1 }));
+    CHECK(!same_layout(shape{ 2, 1, 3, 4 }, shape{ 1, 2, 4, 3, 0 }));
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/base/std_ambiguities.cpp b/tests/unit/base/std_ambiguities.cpp
@@ -0,0 +1,12 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <type_traits>
+#include <utility>
+
+using namespace std;
+
+#include <kfr/all.hpp>
diff --git a/tests/unit/base/tensor.cpp b/tests/unit/base/tensor.cpp
@@ -0,0 +1,845 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/basic_expressions.hpp>
+#include <kfr/base/math_expressions.hpp>
+#include <kfr/base/reduce.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/tensor.hpp>
+#include <kfr/io/tostring.hpp>
+#include <kfr/simd.hpp>
+
+CMT_PRAGMA_MSVC(warning(push))
+CMT_PRAGMA_MSVC(warning(disable : 5051))
+
+namespace kfr
+{
+
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(tensor_base)
+{
+    tensor<float, 2> t{ shape{ 20, 40 } };
+    CHECK(t.shape() == shape{ 20, 40 });
+    CHECK(t.strides() == shape{ 40, 1 });
+    CHECK(t.size() == 800);
+    CHECK(t.is_contiguous());
+
+    t(0, 0) = 123;
+    t(1, 1) = 456;
+
+    tensor<float, 2> t2 = t(tstop(10), tstop(10));
+    CHECK(t2.shape() == shape{ 10, 10 });
+    CHECK(t2.strides() == shape{ 40, 1 });
+    CHECK(t2.size() == 100);
+    CHECK(!t2.is_contiguous());
+
+    CHECK(t2(0, 0) == 123);
+    CHECK(t2.data() == t.data());
+    CHECK(t2.finalizer() == t.finalizer());
+
+    tensor<float, 2> t3 = t(tstart(1), tstart(1));
+    CHECK(t3.shape() == shape{ 19, 39 });
+    CHECK(t3.strides() == shape{ 40, 1 });
+    CHECK(t3.size() == 741);
+    CHECK(!t3.is_contiguous());
+
+    CHECK(t3(0, 0) == 456);
+    CHECK(t3.data() == t.data() + 40 + 1);
+    CHECK(t3.finalizer() == t.finalizer());
+}
+
+TEST(tensor_memory)
+{
+    // reference
+    std::vector<float> vector{ 1.23f };
+    tensor<float, 1> t{ vector.data(), shape{ 1 }, nullptr };
+    CHECK(t.shape() == shape{ 1 });
+    CHECK(t(0) == 1.23f);
+
+    // adapt
+    std::vector<float> vector2{ 2.34f };
+    tensor<float, 1> t2 = tensor_from_container(std::move(vector2));
+    CHECK(t2.shape() == shape{ 1 });
+    CHECK(t2(0) == 2.34f);
+
+    struct Container
+    {
+        std::array<double, 1> arr;
+        int* refs;
+        double* data() { return arr.data(); }
+        size_t size() const { return arr.size(); }
+        using value_type = double;
+        Container(std::array<double, 1> arr, int* refs) : arr(arr), refs(refs) {}
+        Container() { ++*refs; }
+        Container(Container&& p) : arr(p.arr), refs(p.refs) { ++*refs; }
+        Container(const Container&) = delete;
+        ~Container() { --*refs; }
+    };
+
+    int refs = 0;
+    Container cont{ { 3.45 }, &refs };
+    {
+        tensor<double, 1> t3 = tensor_from_container(std::move(cont));
+        CHECK(t3.shape() == shape{ 1 });
+        CHECK(t3(0) == 3.45);
+        CHECK(refs == 1);
+    }
+    CHECK(refs == 0);
+}
+
+TEST(tensor_expression)
+{
+    tensor<float, 1> t1{ shape{ 32 }, 0.f };
+    tensor<float, 1> t2{ shape{ 32 }, 100.f };
+    tensor<float, 1> t3{ shape{ 32 }, 0.f };
+
+    t1 = counter();
+
+    CHECK(t1.size() == 32);
+    CHECK(t1(0) == 0.f);
+    CHECK(t1(1) == 1.f);
+    CHECK(t1(31) == 31.f);
+
+    t3 = t1 + t2;
+
+    CHECK(t3.size() == 32);
+    CHECK(t3(0) == 100.f);
+    CHECK(t3(1) == 101.f);
+    CHECK(t3(31) == 131.f);
+
+    tensor<float, 2> t4{ shape{ 6, 6 }, 0.f };
+
+    t4 = 1.f;
+    CHECK(t4(0, 0) == 1.f);
+    CHECK(t4(5, 5) == 1.f);
+    CHECK(minof(t4) == 1);
+    CHECK(maxof(t4) == 1);
+    CHECK(sum(t4) == 36);
+
+    t4(trange(2, 4), trange(2, 4)) = scalar(10);
+
+    CHECK(t4(0, 0) == 1.f);
+    CHECK(t4(1, 1) == 1.f);
+    CHECK(t4(2, 2) == 10.f);
+    CHECK(t4(3, 3) == 10.f);
+    CHECK(t4(5, 5) == 1.f);
+    CHECK(sum(t4) == 72);
+
+    t4(trange(2, 4), trange(2, 4)) = 10 + counter(0, 2, 1);
+
+    CHECK(t4(2, 2) == 10.f);
+    CHECK(t4(2, 3) == 11.f);
+    CHECK(t4(3, 2) == 12.f);
+    CHECK(t4(3, 3) == 13.f);
+    CHECK(sum(t4) == 78);
+}
+
+TEST(tensor_broadcast)
+{
+    tensor<float, 2> t1{ shape{ 1, 5 }, { 1.f, 2.f, 3.f, 4.f, 5.f } };
+    tensor<float, 2> t2{ shape{ 5, 1 }, { 10.f, 20.f, 30.f, 40.f, 50.f } };
+    tensor<float, 1> t4{ shape{ 5 }, { 1.f, 2.f, 3.f, 4.f, 5.f } };
+    tensor<float, 2> tresult{ shape{ 5, 5 }, { 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31, 32, 33,
+                                               34, 35, 41, 42, 43, 44, 45, 51, 52, 53, 54, 55 } };
+
+    tensor<float, 2> t3 = t1 + t2;
+
+    CHECK(t3.shape() == shape{ 5, 5 });
+    CHECK(t3 == tresult);
+
+    tensor<float, 2> t5 = t4 + t2;
+    // tensor<float, 2> t5 = t4 + t2;
+    CHECK(t5 == tresult);
+}
+} // namespace CMT_ARCH_NAME
+
+template <typename T, size_t N1>
+struct expression_traits<std::array<T, N1>> : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = 1;
+
+    constexpr static shape<1> get_shape(const std::array<T, N1>& self) { return shape<1>{ N1 }; }
+    constexpr static shape<1> get_shape() { return shape<1>{ N1 }; }
+};
+
+template <typename T, size_t N1, size_t N2>
+struct expression_traits<std::array<std::array<T, N1>, N2>> : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = 2;
+
+    constexpr static shape<2> get_shape(const std::array<std::array<T, N1>, N2>& self)
+    {
+        return shape<2>{ N2, N1 };
+    }
+    constexpr static shape<2> get_shape() { return shape<2>{ N2, N1 }; }
+};
+
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, size_t N1, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const std::array<T, N1>& CMT_RESTRICT self, const shape<1>& index,
+                                     const axis_params<Axis, N>&)
+{
+    const T* CMT_RESTRICT const data = self.data();
+    return read<N>(data + index[0]);
+}
+
+template <typename T, size_t N1, index_t Axis, size_t N>
+KFR_INTRINSIC void set_elements(std::array<T, N1>& CMT_RESTRICT self, const shape<1>& index,
+                                const axis_params<Axis, N>&, const identity<vec<T, N>>& val)
+{
+    T* CMT_RESTRICT const data = self.data();
+    write(data + index[0], val);
+}
+
+template <typename T, size_t N1, size_t N2, index_t Axis, size_t N>
+KFR_INTRINSIC vec<T, N> get_elements(const std::array<std::array<T, N1>, N2>& CMT_RESTRICT self,
+                                     const shape<2>& index, const axis_params<Axis, N>&)
+{
+    const T* CMT_RESTRICT const data = self.front().data() + index.front() * N1 + index.back();
+    if constexpr (Axis == 1)
+    {
+        return read<N>(data);
+    }
+    else
+    {
+        return gather_stride<N>(data, N1);
+    }
+}
+
+template <typename T, size_t N1, size_t N2, index_t Axis, size_t N>
+KFR_INTRINSIC void set_elements(std::array<std::array<T, N1>, N2>& CMT_RESTRICT self, const shape<2>& index,
+                                const axis_params<Axis, N>&, const identity<vec<T, N>>& val)
+{
+    T* CMT_RESTRICT data = self.front().data() + index.front() * N1 + index.back();
+    if constexpr (Axis == 1)
+    {
+        write(data, val);
+    }
+    else
+    {
+        scatter_stride(data, val, N1);
+    }
+}
+
+TEST(tensor_slice)
+{
+    tensor<double, 3> t1{
+        { { 0, 1, 2 }, { 3, 4, 5 }, { 6, 7, 8 } },
+        { { 9, 10, 11 }, { 12, 13, 14 }, { 15, 16, 17 } },
+        { { 18, 19, 20 }, { 21, 22, 23 }, { 24, 25, 26 } },
+    };
+    CHECK(t1 == trender(truncate(counter(0.0, 9, 3, 1), shape{ 3, 3, 3 })));
+
+    CHECK(trender(slice(t1, shape{ 1, 1, 1 }, shape{ 2, 2, 2 })) ==
+          trender(truncate(counter(13.0, 9, 3, 1), shape{ 2, 2, 2 })));
+}
+
+TEST(scalars)
+{
+    CHECK(trender(scalar(3)) == tensor<int, 0>{});
+    CHECK(trender(scalar(3)).to_string() == "3");
+}
+
+TEST(tensor_lambda)
+{
+    CHECK(trender(lambda<float, 2>([](shape<2> idx) -> float { return 1 + idx[1] + 3 * idx[0]; }),
+                  shape{ 3, 3 }) ==
+          tensor<float, 2>{
+              { 1, 2, 3 },
+              { 4, 5, 6 },
+              { 7, 8, 9 },
+          });
+
+    CHECK(trender(truncate(lambda<float, 2>([](shape<2> idx) -> float { return 1 + idx[1] + 3 * idx[0]; }),
+                           shape{ 3, 3 })) ==
+          tensor<float, 2>{
+              { 1, 2, 3 },
+              { 4, 5, 6 },
+              { 7, 8, 9 },
+          });
+}
+
+TEST(tensor_expressions2)
+{
+    auto aa = std::array<std::array<double, 2>, 2>{ { { { 1, 2 } }, { { 3, 4 } } } };
+    static_assert(expression_traits<decltype(aa)>::dims == 2);
+    CHECK(expression_traits<decltype(aa)>::get_shape(aa) == shape{ 2, 2 });
+    CHECK(get_elements(aa, { 1, 1 }, axis_params<1, 1>{}) == vec{ 4. });
+    CHECK(get_elements(aa, { 1, 0 }, axis_params<1, 2>{}) == vec{ 3., 4. });
+
+    static_assert(expression_traits<decltype(1234.f)>::dims == 0);
+    CHECK(expression_traits<decltype(1234.f)>::get_shape(1234.f) == shape{});
+    CHECK(get_elements(1234.f, {}, axis_params<0, 3>{}) == vec{ 1234.f, 1234.f, 1234.f });
+
+    process(aa, 123.45f);
+
+    CHECK(aa ==
+          std::array<std::array<double, 2>, 2>{ { { { 123.45f, 123.45f } }, { { 123.45f, 123.45f } } } });
+
+    auto a = std::array<double, 2>{ { -5.f, +5.f } };
+
+    process(aa, a);
+
+    CHECK(aa == std::array<std::array<double, 2>, 2>{ { { { -5., +5. } }, { { -5., +5. } } } });
+}
+
+TEST(tensor_counter)
+{
+    std::array<double, 6> x;
+
+    process(x, counter(0.0, 0.5));
+
+    CHECK(x == std::array<double, 6>{ { 0.0, 0.5, 1.0, 1.5, 2.0, 2.5 } });
+
+    std::array<std::array<double, 4>, 3> y;
+
+    process(y, counter(100.0, 1.0, 10.0));
+
+    CHECK(y == std::array<std::array<double, 4>, 3>{ {
+                   { { 100.0, 110.0, 120.0, 130.0 } },
+                   { { 101.0, 111.0, 121.0, 131.0 } },
+                   { { 102.0, 112.0, 122.0, 132.0 } },
+               } });
+}
+namespace tests
+{
+TEST(tensor_dims)
+{
+    tensor<double, 6> t12{ shape{ 2, 3, 4, 5, 6, 7 } };
+
+    process(t12, counter(0, 1, 10, 100, 1000, 10000, 100000));
+
+    auto t1 = t12(1, 2, 3, tall(), 5, 6);
+    CHECK(render(t1) == univector<double>{ 650321, 651321, 652321, 653321, 654321 });
+
+    CHECK(t12.reduce(std::plus<>{}, 0) == 1648888920);
+}
+} // namespace tests
+
+TEST(vec_from_cvals)
+{
+    CHECK(make_vector(csizes<1, 2, 3, 4>) == make_vector<size_t>(1, 2, 3, 4));
+    CHECK(make_vector(cconcat(cvalseq<index_t, 2, 0, 0>, cvalseq<index_t, 1, 1>,
+                              cvalseq<index_t, 2, 0, 0>)) == make_vector<size_t>(0, 0, 1, 0, 0));
+}
+
+TEST(xfunction_test)
+{
+    auto f = expression_function{ expression_with_arguments{ 3.f, 4.f }, std::plus<>{} };
+    float v;
+    process(v, f);
+    CHECK(v == 7.f);
+    static_assert(std::is_same_v<decltype(f), expression_function<std::plus<>, float, float>>);
+
+    auto f2 = expression_function{ expression_with_arguments{ 10.f, std::array{ 1.f, 2.f, 3.f, 4.f, 5.f } },
+                                   std::plus<>{} };
+    std::array<float, 5> v2;
+    process(v2, f2);
+    CHECK(v2 == std::array{ 11.f, 12.f, 13.f, 14.f, 15.f });
+
+    auto f3 = scalar(10.f) + std::array{ 1.f, 2.f, 3.f, 4.f, 5.f };
+    std::array<float, 5> v3;
+    process(v3, f3);
+    CHECK(v3 == std::array{ 11.f, 12.f, 13.f, 14.f, 15.f });
+
+    auto f4 = scalar(0) +
+              std::array<std::array<float, 1>, 5>{
+                  { { { 100.f } }, { { 200.f } }, { { 300.f } }, { { 400.f } }, { { 500.f } } }
+              } +
+              std::array{ 1.f, 2.f, 3.f, 4.f, 5.f };
+    std::array<std::array<float, 5>, 5> v4;
+
+    CHECK(expression_traits<decltype(f4)>::get_shape(f4) == shape{ 5, 5 });
+    process(v4, f4);
+    CHECK(v4 == std::array<std::array<float, 5>, 5>{ { { { 101.f, 102.f, 103.f, 104.f, 105.f } },
+                                                       { { 201.f, 202.f, 203.f, 204.f, 205.f } },
+                                                       { { 301.f, 302.f, 303.f, 304.f, 305.f } },
+                                                       { { 401.f, 402.f, 403.f, 404.f, 405.f } },
+                                                       { { 501.f, 502.f, 503.f, 504.f, 505.f } } } });
+}
+
+TEST(xfunction_test2)
+{
+    CHECK(trender(abs(tensor<float, 2>{ { 1, -2 }, { -1, 3 } })) == tensor<float, 2>{ { 1, 2 }, { 1, 3 } });
+    CHECK(trender(min(tensor<float, 2>{ { 1, -2 }, { -1, 3 } }, tensor<float, 2>{ { 0, 3 }, { 2, 1 } })) ==
+          tensor<float, 2>{ { 0, -2 }, { -1, 1 } });
+}
+
+template <typename Type, index_t Dims>
+KFR_FUNCTION expression_counter<Type, Dims> debug_counter(uint64_t scale = 10)
+{
+    expression_counter<Type, Dims> result;
+    result.start = 0;
+    uint64_t val = 1;
+    for (size_t i = 0; i < Dims; i++)
+    {
+        result.steps[Dims - 1 - i] = val;
+        val *= scale;
+    }
+    return result;
+}
+
+static std::string nl = R"(
+)";
+
+TEST(tensor_tostring)
+{
+    CHECK(as_string(shape{}) == "shape{}");
+    CHECK(as_string(shape{ 1, 2, 3 }) == "shape{1, 2, 3}");
+
+    tensor<f32x2, 1> t0(shape<1>{ 3 });
+    t0(0) = vec{ 1, 2 };
+    t0(1) = vec{ 3, 4 };
+    t0(2) = vec{ -1, 1000 };
+    CHECK(t0.to_string<fmt_t<f32x2, 'f', 0, 2>>() == "{{1, 2}, {3, 4}, {-1, 1000}}");
+
+    tensor<float, 1> t1(shape<1>{ 60 });
+    t1 = debug_counter<float, 1>();
+    CHECK(nl + t1.to_string<fmt_t<float, 'f', 2, 0>>(12, 0) + nl == R"(
+{ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11,
+ 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
+ 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
+ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59}
+)");
+
+    tensor<float, 2> t2(shape<2>{ 12, 5 });
+    t2 = debug_counter<float, 2>();
+    CHECK(nl + t2.to_string<fmt_t<float, 'f', 3, 0>>(16, 0) + nl == R"(
+{{  0,   1,   2,   3,   4},
+ { 10,  11,  12,  13,  14},
+ { 20,  21,  22,  23,  24},
+ { 30,  31,  32,  33,  34},
+ { 40,  41,  42,  43,  44},
+ { 50,  51,  52,  53,  54},
+ { 60,  61,  62,  63,  64},
+ { 70,  71,  72,  73,  74},
+ { 80,  81,  82,  83,  84},
+ { 90,  91,  92,  93,  94},
+ {100, 101, 102, 103, 104},
+ {110, 111, 112, 113, 114}}
+)");
+
+    tensor<float, 3> t3(shape<3>{ 3, 4, 5 });
+    t3 = debug_counter<float, 3>();
+    CHECK(nl + t3.to_string<fmt_t<float, 'f', 4, 0>>(16, 0) + nl == R"(
+{{{   0,    1,    2,    3,    4},
+  {  10,   11,   12,   13,   14},
+  {  20,   21,   22,   23,   24},
+  {  30,   31,   32,   33,   34}},
+ {{ 100,  101,  102,  103,  104},
+  { 110,  111,  112,  113,  114},
+  { 120,  121,  122,  123,  124},
+  { 130,  131,  132,  133,  134}},
+ {{ 200,  201,  202,  203,  204},
+  { 210,  211,  212,  213,  214},
+  { 220,  221,  222,  223,  224},
+  { 230,  231,  232,  233,  234}}}
+)");
+
+    tensor<float, 4> t4(shape<4>{ 3, 2, 2, 5 });
+    t4 = debug_counter<float, 4>();
+    CHECK(nl + t4.to_string<fmt_t<float, 'f', 5, 0>>(16, 0) + nl == R"(
+{{{{    0,     1,     2,     3,     4},
+   {   10,    11,    12,    13,    14}},
+  {{  100,   101,   102,   103,   104},
+   {  110,   111,   112,   113,   114}}},
+ {{{ 1000,  1001,  1002,  1003,  1004},
+   { 1010,  1011,  1012,  1013,  1014}},
+  {{ 1100,  1101,  1102,  1103,  1104},
+   { 1110,  1111,  1112,  1113,  1114}}},
+ {{{ 2000,  2001,  2002,  2003,  2004},
+   { 2010,  2011,  2012,  2013,  2014}},
+  {{ 2100,  2101,  2102,  2103,  2104},
+   { 2110,  2111,  2112,  2113,  2114}}}}
+)");
+
+    tensor<float, 2> t5(shape<2>{ 10, 1 });
+    t5 = debug_counter<float, 2>();
+    CHECK(nl + t5.to_string<fmt_t<float, 'f', -1, 0>>(12, 1) + nl == R"(
+{{0}, {10}, {20}, {30}, {40}, {50}, {60}, {70}, {80}, {90}}
+)");
+}
+
+template <typename T, index_t dims1, index_t dims2>
+static void test_reshape_body(const tensor<T, dims1>& t1, const tensor<T, dims2>& t2)
+{
+    CHECK(t1.reshape_may_copy(t2.shape(), true) == t2);
+
+    cforeach(csizeseq<dims2>,
+             [&](auto x)
+             {
+                 constexpr index_t axis = val_of(decltype(x)());
+                 ::testo::scope s(
+                     as_string("axis = ", axis, " shape = (", t1.shape(), ") -> (", t2.shape(), ")"));
+                 CHECK(trender<1, axis>(reshape(t1, t2.shape())) == t2);
+                 CHECK(trender<2, axis>(reshape(t1, t2.shape())) == t2);
+                 CHECK(trender<4, axis>(reshape(t1, t2.shape())) == t2);
+                 CHECK(trender<8, axis>(reshape(t1, t2.shape())) == t2);
+             });
+}
+
+static void test_reshape() {}
+
+template <typename T, index_t dims1, index_t... dims>
+static void test_reshape(const tensor<T, dims1>& t1, const tensor<T, dims>&... ts)
+{
+    cforeach(std::make_tuple((&ts)...),
+             [&](auto t2)
+             {
+                 test_reshape_body(t1, *t2);
+                 test_reshape_body(*t2, t1);
+             });
+
+    test_reshape(ts...);
+}
+
+TEST(expression_reshape)
+{
+    std::array<float, 12> x;
+    process(reshape(x, shape{ 3, 4 }), expression_counter<float, 2>{ 0, { 10, 1 } });
+    CHECK(x == std::array<float, 12>{ { 0, 1, 2, 3, 10, 11, 12, 13, 20, 21, 22, 23 } });
+
+    test_reshape(tensor<float, 1>{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }, //
+                 tensor<float, 2>{ { 0, 1, 2, 3, 4, 5 }, { 6, 7, 8, 9, 10, 11 } },
+                 tensor<float, 2>{ { 0, 1, 2, 3 }, { 4, 5, 6, 7 }, { 8, 9, 10, 11 } },
+                 tensor<float, 2>{ { 0, 1, 2 }, { 3, 4, 5 }, { 6, 7, 8 }, { 9, 10, 11 } },
+                 tensor<float, 2>{ { 0, 1 }, { 2, 3 }, { 4, 5 }, { 6, 7 }, { 8, 9 }, { 10, 11 } },
+                 tensor<float, 2>{
+                     { 0 }, { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 } });
+
+    test_reshape(tensor<float, 1>{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }, //
+                 tensor<float, 3>{ { { 0, 1 }, { 2, 3 }, { 4, 5 } }, { { 6, 7 }, { 8, 9 }, { 10, 11 } } },
+                 tensor<float, 4>{ { { { 0 }, { 1 } }, { { 2 }, { 3 } }, { { 4 }, { 5 } } },
+                                   { { { 6 }, { 7 } }, { { 8 }, { 9 } }, { { 10 }, { 11 } } } });
+
+    test_reshape(
+        tensor<float, 1>{
+            0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 }, //
+        tensor<float, 3>{ { { 0, 1 }, { 2, 3 }, { 4, 5 } },
+                          { { 6, 7 }, { 8, 9 }, { 10, 11 } },
+                          { { 12, 13 }, { 14, 15 }, { 16, 17 } },
+                          { { 18, 19 }, { 20, 21 }, { 22, 23 } } },
+        tensor<float, 4>{
+            { { { 0, 1 }, { 2, 3 } }, { { 4, 5 }, { 6, 7 } }, { { 8, 9 }, { 10, 11 } } },
+            { { { 12, 13 }, { 14, 15 } }, { { 16, 17 }, { 18, 19 } }, { { 20, 21 }, { 22, 23 } } } });
+}
+
+} // namespace CMT_ARCH_NAME
+
+#if 0
+shape<4> sh{ 2, 3, 4, 5 };
+
+extern "C" __declspec(dllexport) bool assembly_test1(shape<4>& x)
+{
+    return kfr::internal_generic::increment_indices(x, shape<4>(0), sh);
+}
+
+extern "C" __declspec(dllexport) bool assembly_test2(std::array<std::array<double, 2>, 2>& aa,
+                                                     std::array<double, 2>& a)
+{
+    return process(aa, a).front() > 0;
+}
+
+extern "C" __declspec(dllexport) bool assembly_test3(std::array<double, 16>& x)
+{
+    return process(x, 0.5).front() > 0;
+}
+
+extern "C" __declspec(dllexport) bool assembly_test4(std::array<double, 16>& x)
+{
+    return process(x, counter(1000.0, 1.0)).front() > 0;
+}
+
+extern "C" __declspec(dllexport) bool assembly_test5(const tensor<double, 3>& x)
+{
+    return process(x, counter(1000.0, 1.0, 2.0, 3.0)).front() > 0;
+}
+
+extern "C" __declspec(dllexport) bool assembly_test6(const tensor<double, 2>& x)
+{
+    return process(x, counter(1000.0, 1.0, 2.0)).front() > 0;
+}
+
+extern "C" __declspec(dllexport) bool assembly_test7(const tensor<double, 2>& x)
+{
+    return process(x, 12345.).front() > 0;
+}
+
+extern "C" __declspec(dllexport) index_t assembly_test8_2(const shape<2>& x, const shape<2>& y)
+{
+    return x.dot(y);
+}
+
+extern "C" __declspec(dllexport) index_t assembly_test8_4(const shape<4>& x, const shape<4>& y)
+{
+    return x.dot(y);
+}
+
+extern "C" __declspec(dllexport) void assembly_test9(int64_t* dst, size_t stride)
+{
+    scatter_stride(dst, enumerate(vec_shape<int64_t, 8>()), stride);
+}
+constexpr inline index_t rank = 1;
+extern "C" __declspec(dllexport) void assembly_test10(tensor<double, rank>& t12,
+                                                      const expression_counter<double, rank>& ctr)
+{
+    process(t12, ctr);
+}
+extern "C" __declspec(dllexport) void assembly_test11(f64x2& x, u64x2 y) { x = y; }
+
+extern "C" __declspec(dllexport) void assembly_test12(
+    std::array<std::array<uint32_t, 4>, 4>& x,
+    const expression_function<std::plus<>, std::array<std::array<uint32_t, 1>, 4>&,
+                              std::array<std::array<uint32_t, 4>, 1>&>& y)
+{
+    process(x, y);
+}
+
+extern "C" __declspec(dllexport) void assembly_test13(const tensor<float, 1>& x, const tensor<float, 1>& y)
+{
+    process(x, y * 0.5f);
+}
+
+template <typename T, size_t N1, size_t N2>
+using array2d = std::array<std::array<T, N2>, N1>;
+
+extern "C" __declspec(dllexport) void assembly_test14(std::array<float, 32>& x,
+                                                      const std::array<float, 32>& y)
+{
+    process(x, reverse(y));
+}
+
+extern "C" __declspec(dllexport) void assembly_test15(array2d<float, 32, 32>& x,
+                                                      const array2d<float, 32, 32>& y)
+{
+    process(x, reverse(y));
+}
+
+extern "C" __declspec(dllexport) void assembly_test16a(array2d<double, 8, 2>& x,
+                                                       const array2d<double, 8, 2>& y)
+{
+    process<8, 0>(x, y * y);
+}
+extern "C" __declspec(dllexport) void assembly_test16b(array2d<double, 8, 2>& x,
+                                                       const array2d<double, 8, 2>& y)
+{
+    process<2, 1>(x, y * y);
+}
+
+extern "C" __declspec(dllexport) void assembly_test17a(const tensor<double, 2>& x, const tensor<double, 2>& y)
+{
+    expression_function ysqr = expression_function{ expression_with_arguments{ y }, fn::sqr{} };
+    process<8, 0>(x, ysqr);
+}
+extern "C" __declspec(dllexport) void assembly_test17b(const tensor<double, 2>& x, const tensor<double, 2>& y)
+{
+    expression_function ysqr = expression_function{ expression_with_arguments{ y }, fn::sqr{} };
+    process<2, 1>(x, ysqr);
+}
+
+extern "C" __declspec(dllexport) void assembly_test18a(const tensor<double, 2>& x, const tensor<double, 2>& y)
+{
+    expression_function ysqr = expression_function{ expression_with_arguments{ y }, fn::sqr{} };
+    process<8, 0>(fixshape(x, fixed_shape<8, 2>), fixshape(ysqr, fixed_shape<8, 2>));
+}
+extern "C" __declspec(dllexport) void assembly_test18b(const tensor<double, 2>& x, const tensor<double, 2>& y)
+{
+    expression_function ysqr = expression_function{ expression_with_arguments{ y }, fn::sqr{} };
+    process<2, 1>(fixshape(x, fixed_shape<8, 2>), fixshape(ysqr, fixed_shape<8, 2>));
+}
+
+extern "C" __declspec(dllexport) void assembly_test19(const tensor<double, 2>& x,
+                                                      const expression_reshape<tensor<double, 2>, 2>& y)
+{
+    process(x, y);
+}
+
+extern "C" __declspec(dllexport) shape<2> assembly_test20_2(const shape<2>& x, size_t fl)
+{
+    return x.from_flat(fl);
+}
+extern "C" __declspec(dllexport) shape<4> assembly_test20_4(const shape<4>& x, size_t fl)
+{
+    return x.from_flat(fl);
+}
+
+extern "C" __declspec(dllexport) shape<4> assembly_test21(const shape<4>& x, size_t fl)
+{
+    return x.from_flat(fl);
+}
+extern "C" __declspec(dllexport) float assembly_test22(const std::array<float, 440>& x,
+                                                       const std::array<float, 440>& y)
+{
+    return dotproduct(x, y);
+}
+extern "C" __declspec(dllexport) float assembly_test23(const std::array<float, 440>& x) { return rms(x); }
+#endif
+
+struct val
+{
+};
+template <>
+struct expression_traits<val> : expression_traits_defaults
+{
+    using value_type             = float;
+    constexpr static size_t dims = 0;
+    constexpr static shape<dims> get_shape(const val&) { return {}; }
+    constexpr static shape<dims> get_shape() { return {}; }
+};
+
+inline namespace CMT_ARCH_NAME
+{
+val rvint_func() { return val{}; }
+val& lvint_func()
+{
+    static val v;
+    return v;
+}
+TEST(expression_with_arguments)
+{
+    expression_function fn1 = expression_function{ expression_with_arguments{ rvint_func() }, fn::add{} };
+    static_assert(std::is_same_v<decltype(fn1)::nth<0>, val>);
+
+    expression_function fn2 = expression_function{ expression_with_arguments{ lvint_func() }, fn::add{} };
+    static_assert(std::is_same_v<decltype(fn2)::nth<0>, val&>);
+
+    expression_function fn3 =
+        expression_function{ expression_with_arguments{ std::as_const(lvint_func()) }, fn::add{} };
+    static_assert(std::is_same_v<decltype(fn3)::nth<0>, const val&>);
+}
+
+TEST(slices)
+{
+    const auto _ = std::nullopt;
+    tensor<float, 1> t1{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 };
+    CHECK(t1(tstart(3)) == tensor<float, 1>{ 3, 4, 5, 6, 7, 8, 9 });
+    CHECK(t1(tstop(3)) == tensor<float, 1>{ 0, 1, 2 });
+    CHECK(t1(trange(3, 7)) == tensor<float, 1>{ 3, 4, 5, 6 });
+
+    CHECK(t1(tstart(10)) == tensor<float, 1>{});
+    CHECK(t1(tstop(0)) == tensor<float, 1>{});
+    CHECK(t1(trange(7, 3)) == tensor<float, 1>{});
+
+    CHECK(t1(tstart(-2)) == tensor<float, 1>{ 8, 9 });
+    CHECK(t1(trange(-7, -4)) == tensor<float, 1>{ 3, 4, 5 });
+    CHECK(t1(tall()) == tensor<float, 1>{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 });
+
+    CHECK(t1(trange(3, _)) == tensor<float, 1>{ 3, 4, 5, 6, 7, 8, 9 });
+    CHECK(t1(trange(_, 7)) == tensor<float, 1>{ 0, 1, 2, 3, 4, 5, 6 });
+
+    CHECK(t1(trange(_, _, 2)) == tensor<float, 1>{ 0, 2, 4, 6, 8 });
+    CHECK(t1(trange(_, _, 5)) == tensor<float, 1>{ 0, 5 });
+    CHECK(t1(trange(_, _, 12)) == tensor<float, 1>{ 0 });
+    CHECK(t1(trange(1, _, 2)) == tensor<float, 1>{ 1, 3, 5, 7, 9 });
+    CHECK(t1(trange(1, _, 5)) == tensor<float, 1>{ 1, 6 });
+    CHECK(t1(trange(1, _, 12)) == tensor<float, 1>{ 1 });
+
+    CHECK(t1(tstep(2))(tstep(2)) == tensor<float, 1>{ 0, 4, 8 });
+    CHECK(t1(tstep(2))(tstep(2))(tstep(2)) == tensor<float, 1>{ 0, 8 });
+    CHECK(t1(tstep(2))(tstep(3)) == tensor<float, 1>{ 0, 6 });
+
+    CHECK(t1(trange(_, _, -1)) == tensor<float, 1>{ 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 });
+    CHECK(t1(trange(5, _, -1)) == tensor<float, 1>{ 5, 4, 3, 2, 1, 0 });
+    CHECK(t1(trange(1, 0, -1)) == tensor<float, 1>{ 1 });
+
+    CHECK(t1(trange(3, 3 + 12, 0)) == tensor<float, 1>{ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 });
+}
+
+TEST(complex_tensors)
+{
+    tensor<complex<float>, 1> t1{
+        complex<float>(0, -1),
+    };
+    CHECK(trender(expression_function{ expression_with_arguments{ t1, complex<float>(0, 1) }, fn::mul{} }) ==
+          tensor<complex<float>, 1>{ complex<float>(1, 0) });
+    CHECK(trender(expression_function{ expression_with_arguments{ t1, complex<float>(1, 0) }, fn::mul{} }) ==
+          tensor<complex<float>, 1>{ complex<float>(0, -1) });
+    CHECK(trender(expression_function{ expression_with_arguments{ t1, complex<float>(0, -1) }, fn::mul{} }) ==
+          tensor<complex<float>, 1>{ complex<float>(-1, 0) });
+    CHECK(trender(expression_function{ expression_with_arguments{ t1, complex<float>(-1, 0) }, fn::mul{} }) ==
+          tensor<complex<float>, 1>{ complex<float>(0, 1) });
+}
+
+TEST(from_ilist)
+{
+    tensor<float, 1> t1{ 10, 20, 30, 40 };
+    CHECK(t1 == tensor<float, 1>(shape{ 4 }, { 10, 20, 30, 40 }));
+
+    tensor<float, 2> t2{ { 10, 20 }, { 30, 40 } };
+    CHECK(t2 == tensor<float, 2>(shape{ 2, 2 }, { 10, 20, 30, 40 }));
+
+    tensor<float, 2> t3{ { 10, 20 } };
+    CHECK(t3 == tensor<float, 2>(shape{ 1, 2 }, { 10, 20 }));
+
+    tensor<float, 3> t4{ { { 10, 20 }, { 30, 40 } }, { { 50, 60 }, { 70, 80 } } };
+    CHECK(t4 == tensor<float, 3>(shape{ 2, 2, 2 }, { 10, 20, 30, 40, 50, 60, 70, 80 }));
+}
+
+TEST(sharing_data)
+{
+    tensor<int, 2> t{ { 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 } };
+    auto t2  = t; // share data
+    t2(0, 0) = 10;
+    CHECK(t == tensor<int, 2>{ { 10, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 } });
+    auto t3 = t(0, tall());
+    CHECK(t3 == tensor<int, 1>{ 10, 2, 3 });
+    t3 *= 10;
+    CHECK(t3 == tensor<int, 1>{ 100, 20, 30 });
+    CHECK(t == tensor<int, 2>{ { 100, 20, 30 }, { 4, 5, 6 }, { 7, 8, 9 } });
+    t(trange(0, 2), trange(0, 2)) = 0;
+    CHECK(t == tensor<int, 2>{ { 0, 0, 30 }, { 0, 0, 6 }, { 7, 8, 9 } });
+}
+
+TEST(tensor_from_container)
+{
+    std::vector<int> a{ 1, 2, 3 };
+    auto t = tensor_from_container(a);
+    CHECK(t.shape() == shape{ 3 });
+    CHECK(t == tensor<int, 1>{ 1, 2, 3 });
+}
+
+} // namespace CMT_ARCH_NAME
+
+template <typename T, index_t Size>
+struct identity_matrix
+{
+};
+
+template <typename T, index_t Size>
+struct expression_traits<identity_matrix<T, Size>> : expression_traits_defaults
+{
+    using value_type             = T;
+    constexpr static size_t dims = 2;
+    constexpr static shape<2> get_shape(const identity_matrix<T, Size>& self) { return { Size, Size }; }
+    constexpr static shape<2> get_shape() { return { Size, Size }; }
+};
+
+template <typename T, index_t Size, index_t Axis, size_t N>
+vec<T, N> get_elements(const identity_matrix<T, Size>& self, const shape<2>& index,
+                       const axis_params<Axis, N>& sh)
+{
+    return select(indices<0>(index, sh) == indices<1>(index, sh), 1, 0);
+}
+
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(identity_matrix)
+{
+    CHECK(trender(identity_matrix<float, 3>{}) == tensor<float, 2>{ { 1, 0, 0 }, { 0, 1, 0 }, { 0, 0, 1 } });
+}
+
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
+CMT_PRAGMA_MSVC(warning(pop))
diff --git a/tests/unit/dsp/biquad.cpp b/tests/unit/dsp/biquad.cpp
@@ -0,0 +1,113 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/reduce.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/univector.hpp>
+#include <kfr/dsp/biquad.hpp>
+#include <kfr/dsp/biquad_design.hpp>
+#include <kfr/dsp/special.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+template <typename T, typename... Ts, univector_tag Tag>
+inline const univector<T, Tag>& choose_array(const univector<T, Tag>& array, const univector<Ts, Tag>&...)
+{
+    return array;
+}
+
+template <typename T, typename T2, typename... Ts, univector_tag Tag, KFR_ENABLE_IF(!std::is_same_v<T, T2>)>
+inline const univector<T, Tag>& choose_array(const univector<T2, Tag>&, const univector<Ts, Tag>&... arrays)
+{
+    return choose_array<T>(arrays...);
+}
+
+TEST(biquad_lowpass1)
+{
+    testo::matrix(named("type") = ctypes_t<float, double>{},
+                  [](auto type)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      const biquad_params<T> bq = biquad_lowpass<T>(0.1, 0.7);
+
+                      constexpr size_t size = 32;
+
+                      const univector<float, size> test_vector_f32{
+                          +0x8.9bce2p-7,  +0xd.8383ep-6,  +0x8.f908dp-5,  +0xe.edc21p-6,  +0x9.ae104p-6,
+                          +0x9.dcc24p-7,  +0xd.50584p-9,  -0xf.2668p-13,  -0xd.09ca1p-10, -0xe.15995p-10,
+                          -0xa.b90d2p-10, -0xc.edea4p-11, -0xb.f14eap-12, -0xc.2cb44p-14, +0xb.4a4dep-15,
+                          +0xb.685dap-14, +0xa.b181fp-14, +0xf.0cb2bp-15, +0x8.695d6p-15, +0xd.bedd4p-17,
+                          +0xf.5474p-20,  -0xd.bb266p-19, -0x9.63ca1p-18, -0xf.ca567p-19, -0xa.5231p-19,
+                          -0xa.9e934p-20, -0xe.ab52p-22,  +0xa.3c4cp-26,  +0xd.721ffp-23, +0xe.ccc1ap-23,
+                          +0xb.5f248p-23, +0xd.d2c9ap-24,
+                      };
+
+                      const univector<double, size> test_vector_f64{
+                          +0x8.9bce2bf3663e8p-7,  +0xd.8384010fdf1dp-6,   +0x8.f908e7a36df6p-5,
+                          +0xe.edc2332a6d0bp-6,   +0x9.ae104af1da9ap-6,   +0x9.dcc235ef68e7p-7,
+                          +0xd.5057ee425e05p-9,   -0xf.266e42a99aep-13,   -0xd.09cad73642208p-10,
+                          -0xe.1599f32a83dp-10,   -0xa.b90d8910a117p-10,  -0xc.edeaabb890948p-11,
+                          -0xb.f14edbb55383p-12,  -0xc.2cb39b86f2dap-14,  +0xb.4a506ecff055p-15,
+                          +0xb.685edfdb55358p-14, +0xa.b182e32f8e298p-14, +0xf.0cb3dfd894b2p-15,
+                          +0x8.695df725b4438p-15, +0xd.beddc3606b9p-17,   +0xf.547004d20874p-20,
+                          -0xd.bb29b25b49b6p-19,  -0x9.63cb9187da1dp-18,  -0xf.ca588634fc618p-19,
+                          -0xa.52322d320da78p-19, -0xa.9e9420154e4p-20,   -0xe.ab51f7b0335ap-22,
+                          +0xa.3c6479980e1p-26,   +0xd.7223836599fp-23,   +0xe.ccc47ddd18678p-23,
+                          +0xb.5f265b1be1728p-23, +0xd.d2cb83f8483f8p-24,
+                      };
+
+                      const univector<T, size> ir = biquad(bq, unitimpulse<T>());
+
+                      CHECK(absmaxof(choose_array<T>(test_vector_f32, test_vector_f64) - ir) == 0);
+                  });
+}
+
+TEST(biquad_lowpass2)
+{
+    testo::matrix(named("type") = ctypes_t<float, double>{},
+                  [](auto type)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      const biquad_params<T> bq = biquad_lowpass<T>(0.45, 0.2);
+
+                      constexpr size_t size = 32;
+
+                      const univector<float, size> test_vector_f32{
+                          +0x8.ce416p-4,  +0x8.2979p-4,   -0x8.a9d04p-7,  +0xe.aeb3p-11,  +0x8.204f8p-13,
+                          -0x8.20d78p-12, +0x8.3379p-12,  -0xf.83d81p-13, +0xe.8b5c4p-13, -0xd.9ddadp-13,
+                          +0xc.bedfcp-13, -0xb.ee123p-13, +0xb.2a9e5p-13, -0xa.73ac4p-13, +0x9.c86f6p-13,
+                          -0x9.2828p-13,  +0x8.92229p-13, -0x8.05b7p-13,  +0xf.048ffp-14, -0xe.0e849p-14,
+                          +0xd.28384p-14, -0xc.50a9p-14,  +0xb.86e56p-14, -0xa.ca0b6p-14, +0xa.19476p-14,
+                          -0x9.73d38p-14, +0x8.d8f64p-14, -0x8.48024p-14, +0xf.80aa2p-15, -0xe.82ad8p-15,
+                          +0xd.94f22p-15, -0xc.b66d9p-15,
+                      };
+
+                      const univector<double, size> test_vector_f64{
+                          +0x8.ce416c0d31e88p-4,  +0x8.2978efe51dafp-4,   -0x8.a9d088b81da6p-7,
+                          +0xe.aeb56c029358p-11,  +0x8.20492639873ap-13,  -0x8.20d4e21aab538p-12,
+                          +0x8.3376b2d53b4a8p-12, -0xf.83d3d1c17343p-13,  +0xe.8b584f0dd5ac8p-13,
+                          -0xd.9dd740ceaacf8p-13, +0xc.bedc85e7a621p-13,  -0xb.ee0f472bf8968p-13,
+                          +0xb.2a9baed1fe6cp-13,  -0xa.73a9d1670f4ep-13,  +0x9.c86d29d297798p-13,
+                          -0x9.2825f4d894088p-13, +0x8.9220a956d651p-13,  -0x8.05b539fdd79e8p-13,
+                          +0xf.048cb5194cfa8p-14, -0xe.0e819fa128938p-14, +0xd.2835957d684cp-14,
+                          -0xc.50a69c2a8dc18p-14, +0xb.86e33bbaf3cbp-14,  -0xa.ca097058af2cp-14,
+                          +0xa.1945ad1703dcp-14,  -0x9.73d1eef7d8b68p-14, +0x8.d8f4df1bb3efp-14,
+                          -0x8.48010323c6f7p-14,  +0xf.80a7f5baeeb2p-15,  -0xe.82ab94bb68a8p-15,
+                          +0xd.94f05f80af008p-15, -0xc.b66c0799b21a8p-15,
+                      };
+
+                      const univector<T, size> ir = biquad(bq, unitimpulse<T>());
+
+                      CHECK(absmaxof(choose_array<T>(test_vector_f32, test_vector_f64) - ir) == 0);
+                  });
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/dsp/biquad_design.cpp b/tests/unit/dsp/biquad_design.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/dsp/biquad_design.hpp>
diff --git a/tests/unit/dsp/dsp.cpp b/tests/unit/dsp/dsp.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/dsp.hpp>
diff --git a/tests/unit/dsp/ebu.cpp b/tests/unit/dsp/ebu.cpp
@@ -0,0 +1,270 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/dsp/ebu.hpp>
+#include <kfr/dsp/oscillators.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+struct TestFragment
+{
+    float gain; // dB
+    float duration; // seconds
+    float frequency; // Hz
+};
+
+struct TestFragmentMultichannel
+{
+    float gain_L_R; // dB
+    float gain_C; // dB
+    float gain_Ls_Rs; // dB
+    float duration; // seconds
+    float frequency; // Hz
+};
+
+template <typename T>
+static void ebu_test_stereo(int sample_rate, const std::initializer_list<TestFragment>& fragments, T refM,
+                            T refS, T refI, T refLRA)
+{
+    ebu_r128<T> loudness(sample_rate, { Speaker::Left, Speaker::Right });
+
+    size_t total_length = 0;
+    for (const TestFragment& f : fragments)
+    {
+        total_length += static_cast<size_t>(f.duration * sample_rate);
+    }
+
+    univector<T> left_right(total_length);
+    size_t pos = 0;
+    for (const TestFragment& f : fragments)
+    {
+        const size_t len           = static_cast<size_t>(f.duration * sample_rate);
+        left_right.slice(pos, len) = dB_to_amp(f.gain) * sinenorm(phasor<float>(f.frequency, sample_rate));
+        pos += len;
+    }
+
+    for (size_t i = 0; i < total_length / loudness.packet_size(); i++)
+    {
+        loudness.process_packet({ left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
+                                  left_right.slice(i * loudness.packet_size(), loudness.packet_size()) });
+    }
+    T M, S, I, RL, RH;
+    loudness.get_values(M, S, I, RL, RH);
+    if (!std::isnan(refM))
+    {
+        testo::scope s(as_string("M = ", fmt<'f', -1, 2>(M)));
+        CHECK(std::abs(M - refM) < 0.05f);
+    }
+    if (!std::isnan(refS))
+    {
+        testo::scope s(as_string("S = ", fmt<'f', -1, 2>(S)));
+        CHECK(std::abs(S - refS) < 0.05f);
+    }
+    if (!std::isnan(refI))
+    {
+        testo::scope s(as_string("I = ", fmt<'f', -1, 2>(I)));
+        CHECK(std::abs(I - refI) < 0.05f);
+    }
+    if (!std::isnan(refLRA))
+    {
+        testo::scope s(as_string("LRA = ", fmt<'f', -1, 2>((RH - RL))));
+        CHECK(std::abs((RH - RL) - refLRA) < 0.05f);
+    }
+}
+
+template <typename T>
+static void ebu_test_multichannel(int sample_rate,
+                                  const std::initializer_list<TestFragmentMultichannel>& fragments, T refM,
+                                  T refS, T refI, T refLRA)
+{
+    ebu_r128<T> loudness(sample_rate, { Speaker::Left, Speaker::Right, Speaker::Center, Speaker::LeftSurround,
+                                        Speaker::RightSurround });
+
+    size_t total_length = 0;
+    for (const TestFragmentMultichannel& f : fragments)
+    {
+        total_length += static_cast<size_t>(f.duration * sample_rate);
+    }
+
+    univector<T> left_right(total_length);
+    univector<T> center(total_length);
+    univector<T> surround(total_length);
+    size_t pos = 0;
+    for (const TestFragmentMultichannel& f : fragments)
+    {
+        const size_t len = static_cast<size_t>(f.duration * sample_rate);
+        left_right.slice(pos, len) =
+            dB_to_amp(f.gain_L_R) * sinenorm(phasor<float>(f.frequency, sample_rate));
+        center.slice(pos, len) = dB_to_amp(f.gain_C) * sinenorm(phasor<float>(f.frequency, sample_rate));
+        surround.slice(pos, len) =
+            dB_to_amp(f.gain_Ls_Rs) * sinenorm(phasor<float>(f.frequency, sample_rate));
+        pos += len;
+    }
+
+    for (size_t i = 0; i < total_length / loudness.packet_size(); i++)
+    {
+        loudness.process_packet({ left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
+                                  left_right.slice(i * loudness.packet_size(), loudness.packet_size()),
+                                  center.slice(i * loudness.packet_size(), loudness.packet_size()),
+                                  surround.slice(i * loudness.packet_size(), loudness.packet_size()),
+                                  surround.slice(i * loudness.packet_size(), loudness.packet_size()) });
+    }
+    T M, S, I, RL, RH;
+    loudness.get_values(M, S, I, RL, RH);
+    if (!std::isnan(refM))
+    {
+        testo::scope s(as_string("M = ", fmt<'f', -1, 2>(M)));
+        CHECK(std::abs(M - refM) < 0.05f);
+    }
+    if (!std::isnan(refS))
+    {
+        testo::scope s(as_string("S = ", fmt<'f', -1, 2>(S)));
+        CHECK(std::abs(S - refS) < 0.05f);
+    }
+    if (!std::isnan(refI))
+    {
+        testo::scope s(as_string("I = ", fmt<'f', -1, 2>(I)));
+        CHECK(std::abs(I - refI) < 0.05f);
+    }
+    if (!std::isnan(refLRA))
+    {
+        testo::scope s(as_string("LRA = ", fmt<'f', -1, 2>((RH - RL))));
+        CHECK(std::abs((RH - RL) - refLRA) < 0.05f);
+    }
+}
+
+TEST(ebu_stereo_1_and_2)
+{
+    testo::matrix(named("type")        = ctypes_t<float, double>{},
+                  named("sample_rate") = std::vector<int>{ 44100, 48000 },
+                  [](auto type, int sample_rate)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      ebu_test_stereo<T>(sample_rate, { { -23.f, 20.f, 1000.f } }, -23.f, -23.f, -23.f, NAN);
+                      ebu_test_stereo<T>(sample_rate, { { -33.f, 20.f, 1000.f } }, -33.f, -33.f, -33.f, NAN);
+                  });
+}
+
+TEST(ebu_stereo_3_4_and_5)
+{
+    testo::matrix(
+        named("type") = ctypes_t<float, double>{}, named("sample_rate") = std::vector<int>{ 44100, 48000 },
+        [](auto type, int sample_rate)
+        {
+            using T = typename decltype(type)::type;
+
+            ebu_test_stereo<T>(sample_rate,
+                               { { -36.f, 10.f, 1000.f }, { -23.f, 60.f, 1000.f }, { -36.f, 10.f, 1000.f } },
+                               NAN, NAN, -23.f, NAN);
+            ebu_test_stereo<T>(sample_rate,
+                               { { -72.f, 10.f, 1000.f },
+                                 { -36.f, 10.f, 1000.f },
+                                 { -23.f, 60.f, 1000.f },
+                                 { -36.f, 10.f, 1000.f },
+                                 { -72.f, 10.f, 1000.f } },
+                               NAN, NAN, -23.f, NAN);
+        });
+}
+
+TEST(ebu_multichannel_6)
+{
+    testo::matrix(named("type")        = ctypes_t<float, double>{},
+                  named("sample_rate") = std::vector<int>{ 44100, 48000 },
+                  [](auto type, int sample_rate)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      ebu_test_multichannel<T>(sample_rate, { { -28.f, -24.f, -30.f, 20.f, 1000.f } }, NAN,
+                                               NAN, -23.f, NAN);
+                  });
+}
+
+TEST(ebu_stereo_9)
+{
+    testo::matrix(named("type")        = ctypes_t<float, double>{},
+                  named("sample_rate") = std::vector<int>{ 44100, 48000 },
+                  [](auto type, int sample_rate)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      ebu_test_stereo<T>(sample_rate,
+                                         { { -20.f, 1.34f, 1000.f },
+                                           { -30.f, 1.66f, 1000.f },
+                                           { -20.f, 1.34f, 1000.f },
+                                           { -30.f, 1.66f, 1000.f },
+                                           { -20.f, 1.34f, 1000.f },
+                                           { -30.f, 1.66f, 1000.f },
+                                           { -20.f, 1.34f, 1000.f },
+                                           { -30.f, 1.66f, 1000.f },
+                                           { -20.f, 1.34f, 1000.f },
+                                           { -30.f, 1.66f, 1000.f } },
+                                         NAN, -23.f, NAN, NAN);
+                  });
+}
+
+TEST(ebu_stereo_12)
+{
+    testo::matrix(
+        named("type") = ctypes_t<float, double>{}, named("sample_rate") = std::vector<int>{ 44100, 48000 },
+        [](auto type, int sample_rate)
+        {
+            using T = typename decltype(type)::type;
+
+            ebu_test_stereo<T>(sample_rate,
+                               { { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f },
+                                 { -30.f, 0.22f, 1000.f }, { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f },
+                                 { -20.f, 0.18f, 1000.f }, { -30.f, 0.22f, 1000.f } },
+                               -23.f, NAN, NAN, NAN);
+        });
+}
+
+TEST(ebu_lra_1_2_3_and_4)
+{
+    testo::matrix(named("type")        = ctypes_t<float, double>{},
+                  named("sample_rate") = std::vector<int>{ 44100, 48000 },
+                  [](auto type, int sample_rate)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      ebu_test_stereo<T>(sample_rate, { { -20.f, 20.f, 1000.f }, { -30.f, 20.f, 1000.f } },
+                                         NAN, NAN, NAN, 10.f);
+
+                      ebu_test_stereo<T>(sample_rate, { { -20.f, 20.f, 1000.f }, { -15.f, 20.f, 1000.f } },
+                                         NAN, NAN, NAN, 5.f);
+
+                      ebu_test_stereo<T>(sample_rate, { { -40.f, 20.f, 1000.f }, { -20.f, 20.f, 1000.f } },
+                                         NAN, NAN, NAN, 20.f);
+
+                      ebu_test_stereo<T>(sample_rate,
+                                         { { -50.f, 20.f, 1000.f },
+                                           { -35.f, 20.f, 1000.f },
+                                           { -20.f, 20.f, 1000.f },
+                                           { -35.f, 20.f, 1000.f },
+                                           { -50.f, 20.f, 1000.f } },
+                                         NAN, NAN, NAN, 15.f);
+                  });
+}
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/tests/unit/dsp/fir.cpp b/tests/unit/dsp/fir.cpp
@@ -0,0 +1,234 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <complex>
+#include <kfr/dsp/fir.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(fir)
+{
+#ifdef CMT_COMPILER_IS_MSVC
+    // testo::matrix causes error in MSVC
+    {
+        using T = float;
+
+        const univector<T, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
+        const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
+
+        CHECK_EXPRESSION(fir(data, taps), 100,
+                         [&](size_t index) -> T
+                         {
+                             T result = 0;
+                             for (size_t i = 0; i < taps.size(); i++)
+                                 result += data.get(index - i, 0) * taps[i];
+                             return result;
+                         });
+
+        CHECK_EXPRESSION(short_fir(data, taps), 100,
+                         [&](size_t index) -> T
+                         {
+                             T result = 0;
+                             for (size_t i = 0; i < taps.size(); i++)
+                                 result += data.get(index - i, 0) * taps[i];
+                             return result;
+                         });
+    }
+    {
+        using T = double;
+
+        const univector<T, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
+        const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
+
+        CHECK_EXPRESSION(fir(data, taps), 100,
+                         [&](size_t index) -> T
+                         {
+                             T result = 0;
+                             for (size_t i = 0; i < taps.size(); i++)
+                                 result += data.get(index - i, 0) * taps[i];
+                             return result;
+                         });
+
+        CHECK_EXPRESSION(short_fir(data, taps), 100,
+                         [&](size_t index) -> T
+                         {
+                             T result = 0;
+                             for (size_t i = 0; i < taps.size(); i++)
+                                 result += data.get(index - i, 0) * taps[i];
+                             return result;
+                         });
+    }
+#else
+    testo::matrix(named("type") = ctypes_t<float
+#ifdef CMT_NATIVE_F64
+                                           ,
+                                           double
+#endif
+                                           >{},
+                  [](auto type)
+                  {
+                      using T = typename decltype(type)::type;
+
+                      const univector<T, 100> data =
+                          counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5);
+                      const univector<T, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
+
+                      CHECK_EXPRESSION(fir(data, taps), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < taps.size(); i++)
+                                               result += data.get(index - i, 0) * taps[i];
+                                           return result;
+                                       });
+
+                      fir_state<T> state(taps.ref());
+
+                      CHECK_EXPRESSION(fir(state, data), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < taps.size(); i++)
+                                               result += data.get(index - i, 0) * taps[i];
+                                           return result;
+                                       });
+
+                      CHECK_EXPRESSION(short_fir(data, taps), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < taps.size(); i++)
+                                               result += data.get(index - i, 0) * taps[i];
+                                           return result;
+                                       });
+
+                      short_fir_state<9, T> state2(taps);
+
+                      CHECK_EXPRESSION(short_fir<taps.size()>(state2, data), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < taps.size(); i++)
+                                               result += data.get(index - i, 0) * taps[i];
+                                           return result;
+                                       });
+
+                      CHECK_EXPRESSION(moving_sum<taps.size()>(data), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < taps.size(); i++)
+                                               result += data.get(index - i, 0);
+                                           return result;
+                                       });
+
+                      moving_sum_state<T, 131> msstate1;
+
+                      CHECK_EXPRESSION(moving_sum(msstate1, data), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < msstate1.delayline.size(); i++)
+                                               result += data.get(index - i, 0);
+                                           return result;
+                                       });
+
+                      moving_sum_state<T> msstate2(133);
+
+                      CHECK_EXPRESSION(moving_sum(msstate2, data), 100,
+                                       [&](size_t index) -> T
+                                       {
+                                           T result = 0;
+                                           for (size_t i = 0; i < msstate2.delayline.size(); i++)
+                                               result += data.get(index - i, 0);
+                                           return result;
+                                       });
+                  });
+#endif
+}
+
+#ifdef CMT_NATIVE_F64
+TEST(fir_different)
+{
+    const univector<float, 100> data = counter() + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5f);
+    //    const univector<double, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
+    const univector<double, 4> taps{ 1, 2, 3, 4 };
+
+    CHECK_EXPRESSION(fir(data, taps), 100,
+                     [&](size_t index) -> float
+                     {
+                         double result = 0.0;
+                         for (size_t i = 0; i < taps.size(); i++)
+                             result += data.get(index - i, 0.0) * taps[i];
+                         return float(result);
+                     });
+
+    CHECK_EXPRESSION(short_fir(data, taps), 100,
+                     [&](size_t index) -> float
+                     {
+                         double result = 0.0;
+                         for (size_t i = 0; i < taps.size(); i++)
+                             result += data.get(index - i, 0.0) * taps[i];
+                         return float(result);
+                     });
+}
+#endif
+
+#ifdef KFR_STD_COMPLEX
+template <typename T>
+inline std::complex<T> to_std(const std::complex<T>& c)
+{
+    return c;
+}
+template <typename T>
+inline std::complex<T> from_std(const std::complex<T>& c)
+{
+    return c;
+}
+#else
+template <typename T>
+inline std::complex<T> to_std(const kfr::complex<T>& c)
+{
+    return { c.real(), c.imag() };
+}
+
+template <typename T>
+inline kfr::complex<T> from_std(const std::complex<T>& c)
+{
+    return { c.real(), c.imag() };
+}
+#endif
+
+TEST(fir_complex)
+{
+    const univector<complex<float>, 100> data =
+        counter() * complex<float>{ 0.f, 1.f } + sequence(1, 2, -10, 100) + sequence(0, -7, 0.5f);
+    const univector<float, 6> taps{ 1, 2, -2, 0.5, 0.0625, 4 };
+
+    CHECK_EXPRESSION(fir(data, taps), 100,
+                     [&](size_t index) -> complex<float>
+                     {
+                         std::complex<float> result = 0.0;
+                         for (size_t i = 0; i < taps.size(); i++)
+                             result = result + to_std(data.get(index - i, 0.0)) * taps[i];
+                         return from_std(result);
+                     });
+
+    CHECK_EXPRESSION(short_fir(data, taps), 100,
+                     [&](size_t index) -> complex<float>
+                     {
+                         std::complex<float> result = 0.0;
+                         for (size_t i = 0; i < taps.size(); i++)
+                             result = result + to_std(data.get(index - i, 0.0)) * taps[i];
+                         return from_std(result);
+                     });
+}
+} // namespace CMT_ARCH_NAME
+
+} // namespace kfr
diff --git a/tests/unit/dsp/sample_rate_conversion.cpp b/tests/unit/dsp/sample_rate_conversion.cpp
@@ -0,0 +1,51 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/math_expressions.hpp>
+#include <kfr/dsp/oscillators.hpp>
+#include <kfr/dsp/sample_rate_conversion.hpp>
+#include <kfr/math/sin_cos.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(resampler_test)
+{
+    const int in_sr  = 44100;
+    const int out_sr = 48000;
+    const int freq   = 100;
+    auto resampler   = sample_rate_converter<fbase>(resample_quality::draft, out_sr, in_sr);
+    double delay     = resampler.get_fractional_delay();
+    univector<fbase> out(out_sr / 10);
+    univector<fbase> in  = truncate(sin(c_pi<fbase> * phasor<fbase>(freq, in_sr, 0)), in_sr / 10);
+    univector<fbase> ref = truncate(
+        sin(c_pi<fbase> * phasor<fbase>(freq, out_sr, -delay * (static_cast<double>(freq) / out_sr))),
+        out_sr / 10);
+    resampler.process(out, in);
+
+    CHECK(rms(slice(out - ref, static_cast<size_t>(ceil(delay * 2)))) < 0.005f);
+}
+TEST(resampler_test_complex)
+{
+    using type       = complex<fbase>;
+    const int in_sr  = 44100;
+    const int out_sr = 48000;
+    const int freq   = 100;
+    auto resampler   = sample_rate_converter<type>(resample_quality::draft, out_sr, in_sr);
+    double delay     = resampler.get_fractional_delay();
+    univector<type> out(out_sr / 10);
+    univector<type> in  = truncate(sin(c_pi<fbase> * phasor<fbase>(freq, in_sr, 0)), in_sr / 10);
+    univector<type> ref = truncate(
+        sin(c_pi<fbase> * phasor<fbase>(freq, out_sr, -delay * (static_cast<double>(freq) / out_sr))),
+        out_sr / 10);
+    resampler.process(out, in);
+
+    CHECK(rms(cabs(slice(out - ref, static_cast<size_t>(ceil(delay * 2))))) < 0.005f);
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/dsp/units.cpp b/tests/unit/dsp/units.cpp
@@ -0,0 +1,58 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/dsp/units.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+TEST(note_to_hertz)
+{
+    testo::eplison_scope<void> eps(2000);
+    CHECK(kfr::note_to_hertz(60) == fbase(261.6255653005986346778499935233));
+    CHECK(kfr::note_to_hertz(pack(60)) == pack(fbase(261.6255653005986346778499935233)));
+
+    CHECK(kfr::note_to_hertz(69) == fbase(440.0));
+    CHECK(kfr::note_to_hertz(pack(69)) == pack(fbase(440)));
+}
+
+TEST(hertz_to_note)
+{
+    testo::eplison_scope<void> eps(1000);
+    CHECK(kfr::hertz_to_note(261.6255653005986346778499935233) == fbase(60));
+    CHECK(kfr::hertz_to_note(pack(261.6255653005986346778499935233)) == pack(fbase(60)));
+
+    CHECK(kfr::hertz_to_note(440) == fbase(69));
+    CHECK(kfr::hertz_to_note(pack(440)) == pack(fbase(69)));
+}
+
+TEST(amp_to_dB)
+{
+    testo::eplison_scope<void> eps(1000);
+
+    CHECK(kfr::amp_to_dB(fbase(2.0)) == fbase(6.0205999132796239042747778944899));
+    CHECK(kfr::amp_to_dB(fbase(-2.0)) == fbase(6.0205999132796239042747778944899));
+    CHECK(kfr::amp_to_dB(fbase(1.0)) == fbase(0));
+    CHECK(kfr::amp_to_dB(fbase(-1.0)) == fbase(0));
+    CHECK(kfr::amp_to_dB(fbase(0.5)) == fbase(-6.0205999132796239042747778944899));
+    CHECK(kfr::amp_to_dB(fbase(-0.5)) == fbase(-6.0205999132796239042747778944899));
+    CHECK(kfr::amp_to_dB(fbase(0.0)) == fbase(-HUGE_VAL));
+}
+
+TEST(dB_to_amp)
+{
+    testo::eplison_scope<void> eps(1000);
+
+    CHECK(kfr::dB_to_amp(fbase(-HUGE_VAL)) == fbase(0.0));
+    CHECK(kfr::dB_to_amp(fbase(0.0)) == fbase(1.0));
+    CHECK(kfr::dB_to_amp(fbase(6.0205999132796239042747778944899)) == fbase(2.0));
+    CHECK(kfr::dB_to_amp(fbase(-6.0205999132796239042747778944899)) == fbase(0.5));
+}
+
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/dsp/window.cpp b/tests/unit/dsp/window.cpp
@@ -0,0 +1,195 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/base/reduce.hpp>
+#include <kfr/base/simd_expressions.hpp>
+#include <kfr/base/tensor.hpp>
+#include <kfr/dsp/window.hpp>
+#include <kfr/io/tostring.hpp>
+
+CMT_PRAGMA_MSVC(warning(push))
+CMT_PRAGMA_MSVC(warning(disable : 4305))
+CMT_PRAGMA_MSVC(warning(disable : 4244))
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+
+const char* wins[] = {
+    "",
+    "rectangular    ",
+    "triangular     ",
+    "bartlett       ",
+    "cosine         ",
+    "hann           ",
+    "bartlett_hann  ",
+    "hamming        ",
+    "bohman         ",
+    "blackman       ",
+    "blackman_harris",
+    "kaiser         ",
+    "flattop        ",
+    "gaussian       ",
+    "lanczos        ",
+    "cosine_np      ",
+};
+
+template <window_type type, typename T>
+void win(size_t len, T arg, window_symmetry sym, univector<T> ref)
+{
+    univector<T> calc = render(window(len, cval_t<window_type, type>{}, arg, sym, cometa::ctype<T>));
+    testo::scope sc(as_string("win=", wins[static_cast<int>(type)], " len=", len, " sym=",
+                              sym == window_symmetry::symmetric, "\n    calc=", calc, "\n    ref =", ref));
+    CHECK(rms(calc - ref) < 0.00001f);
+}
+
+TEST(window)
+{
+    using w = window_type;
+    using s = window_symmetry;
+    using u = univector<f32>;
+    // clang-format
+    win<w::rectangular, f32>(7, 0.0, s::symmetric, u{ 1, 1, 1, 1, 1, 1, 1 });
+    win<w::triangular, f32>(7, 0.0, s::symmetric, u{ 0.25, 0.5, 0.75, 1., 0.75, 0.5, 0.25 });
+    win<w::bartlett, f32>(7, 0.0, s::symmetric,
+                          u{ 0., 0.33333333, 0.66666667, 1., 0.66666667, 0.33333333, 0. });
+    win<w::cosine, f32>(7, 0.0, s::symmetric, u{ 0, 0.5, 0.866025, 1, 0.866025, 0.5, 0 });
+    win<w::hann, f32>(7, 0.0, s::symmetric, u{ 0., 0.25, 0.75, 1., 0.75, 0.25, 0. });
+    win<w::bartlett_hann, f32>(7, 0.0, s::symmetric, u{ 0., 0.27, 0.73, 1., 0.73, 0.27, 0. });
+    win<w::hamming, f32>(7, 0.54, s::symmetric, u{ 0.08, 0.31, 0.77, 1., 0.77, 0.31, 0.08 });
+    win<w::bohman, f32>(7, 0.0, s::symmetric,
+                        u{ 0., 0.10899778, 0.60899778, 1., 0.60899778, 0.10899778, 0. });
+    win<w::blackman, f32>(7, 0.16, s::symmetric,
+                          u{ -1.38777878e-17, 1.30000000e-01, 6.30000000e-01, 1.00000000e+00, 6.30000000e-01,
+                             1.30000000e-01, -1.38777878e-17 });
+    win<w::blackman_harris, f32>(
+        7, 0.0, s::symmetric,
+        u{ 6.00000e-05, 5.56450e-02, 5.20575e-01, 1.00000e+00, 5.20575e-01, 5.56450e-02, 6.00000e-05 });
+    win<w::kaiser, f32>(7, 8.0, s::symmetric,
+                        u{ 0.00233883, 0.1520107, 0.65247867, 1., 0.65247867, 0.1520107, 0.00233883 });
+    win<w::flattop, f32>(7, 0.0, s::symmetric,
+                         u{ -4.2105100e-04, -5.1263156e-02, 1.9821053e-01, 1.0000000e+00, 1.9821053e-01,
+                            -5.1263156e-02, -4.2105100e-04 });
+    win<w::gaussian, f32>(7, 2.5, s::symmetric,
+                          u{ 0.1006689, 0.36044779, 0.77483743, 1., 0.77483743, 0.36044779, 0.1006689 });
+    win<w::lanczos, f32>(7, 0.0, s::symmetric,
+                         u{ -2.8e-08, 0.413497, 0.826993, 1, 0.826993, 0.413497, -2.8e-08 });
+    win<w::cosine_np, f32>(7, 0.0, s::symmetric,
+                           u{ 0.22252093, 0.6234898, 0.90096887, 1., 0.90096887, 0.6234898, 0.22252093 });
+
+    win<w::rectangular, f32>(8, 0.0, s::symmetric, u{ 1, 1, 1, 1, 1, 1, 1, 1 });
+    win<w::triangular, f32>(8, 0.0, s::symmetric,
+                            u{ 0.125, 0.375, 0.625, 0.875, 0.875, 0.625, 0.375, 0.125 });
+    win<w::bartlett, f32>(
+        8, 0.0, s::symmetric,
+        u{ 0., 0.28571429, 0.57142857, 0.85714286, 0.85714286, 0.57142857, 0.28571429, 0. });
+    win<w::cosine, f32>(8, 0.0, s::symmetric,
+                        u{ 0, 0.433884, 0.781832, 0.974928, 0.974928, 0.781831, 0.433883, 0 });
+    win<w::hann, f32>(8, 0.0, s::symmetric,
+                      u{ 0., 0.1882551, 0.61126047, 0.95048443, 0.95048443, 0.61126047, 0.1882551, 0. });
+    win<w::bartlett_hann, f32>(
+        8, 0.0, s::symmetric,
+        u{ 0., 0.2116453, 0.60170081, 0.92808246, 0.92808246, 0.60170081, 0.2116453, 0. });
+    win<w::hamming, f32>(
+        8, 0.54, s::symmetric,
+        u{ 0.08, 0.25319469, 0.64235963, 0.95444568, 0.95444568, 0.64235963, 0.25319469, 0.08 });
+    win<w::bohman, f32>(8, 0.0, s::symmetric,
+                        u{ 0., 0.07072475, 0.43748401, 0.91036851, 0.91036851, 0.43748401, 0.07072475, 0. });
+    win<w::blackman, f32>(8, 0.16, s::symmetric,
+                          u{ -1.38777878e-17, 9.04534244e-02, 4.59182958e-01, 9.20363618e-01, 9.20363618e-01,
+                             4.59182958e-01, 9.04534244e-02, -1.38777878e-17 });
+    win<w::blackman_harris, f32>(8, 0.0, s::symmetric,
+                                 u{ 6.00000000e-05, 3.33917235e-02, 3.32833504e-01, 8.89369772e-01,
+                                    8.89369772e-01, 3.32833504e-01, 3.33917235e-02, 6.00000000e-05 });
+    win<w::kaiser, f32>(
+        8, 8.0, s::symmetric,
+        u{ 0.00233883, 0.10919581, 0.48711868, 0.92615774, 0.92615774, 0.48711868, 0.10919581, 0.00233883 });
+    win<w::flattop, f32>(8, 0.0, s::symmetric,
+                         u{ -4.21051000e-04, -3.68407812e-02, 1.07037167e-02, 7.80873915e-01, 7.80873915e-01,
+                            1.07037167e-02, -3.68407812e-02, -4.21051000e-04 });
+    win<w::gaussian, f32>(
+        8, 2.5, s::symmetric,
+        u{ 0.09139376, 0.29502266, 0.64438872, 0.9523448, 0.9523448, 0.64438872, 0.29502266, 0.09139376 });
+    win<w::lanczos, f32>(8, 0.0, s::symmetric,
+                         u{ -2.8e-08, 0.348411, 0.724101, 0.966766, 0.966766, 0.724101, 0.34841, -2.8e-08 });
+    win<w::cosine_np, f32>(
+        8, 0.0, s::symmetric,
+        u{ 0.19509032, 0.55557023, 0.83146961, 0.98078528, 0.98078528, 0.83146961, 0.55557023, 0.19509032 });
+
+    win<w::rectangular, f32>(7, 0.0, s::periodic, u{ 1, 1, 1, 1, 1, 1, 1 });
+    win<w::triangular, f32>(7, 0.0, s::periodic, u{ 0.125, 0.375, 0.625, 0.875, 0.875, 0.625, 0.375 });
+    win<w::bartlett, f32>(7, 0.0, s::periodic,
+                          u{ 0., 0.28571429, 0.57142857, 0.85714286, 0.85714286, 0.57142857, 0.28571429 });
+    win<w::cosine, f32>(7, 0.0, s::periodic,
+                        u{ 0, 0.433884, 0.781832, 0.974928, 0.974928, 0.781831, 0.433883 });
+    win<w::hann, f32>(7, 0.0, s::periodic,
+                      u{ 0., 0.1882551, 0.61126047, 0.95048443, 0.95048443, 0.61126047, 0.1882551 });
+    win<w::bartlett_hann, f32>(7, 0.0, s::periodic,
+                               u{ 0., 0.2116453, 0.60170081, 0.92808246, 0.92808246, 0.60170081, 0.2116453 });
+    win<w::hamming, f32>(7, 0.54, s::periodic,
+                         u{ 0.08, 0.25319469, 0.64235963, 0.95444568, 0.95444568, 0.64235963, 0.25319469 });
+    win<w::bohman, f32>(7, 0.0, s::periodic,
+                        u{ 0., 0.07072475, 0.43748401, 0.91036851, 0.91036851, 0.43748401, 0.07072475 });
+    win<w::blackman, f32>(7, 0.16, s::periodic,
+                          u{ -1.38777878e-17, 9.04534244e-02, 4.59182958e-01, 9.20363618e-01, 9.20363618e-01,
+                             4.59182958e-01, 9.04534244e-02 });
+    win<w::blackman_harris, f32>(7, 0.0, s::periodic,
+                                 u{ 6.00000000e-05, 3.33917235e-02, 3.32833504e-01, 8.89369772e-01,
+                                    8.89369772e-01, 3.32833504e-01, 3.33917235e-02 });
+    win<w::kaiser, f32>(
+        7, 8.0, s::periodic,
+        u{ 0.00233883, 0.10919581, 0.48711868, 0.92615774, 0.92615774, 0.48711868, 0.10919581 });
+    win<w::flattop, f32>(7, 0.0, s::periodic,
+                         u{ -4.21051000e-04, -3.68407812e-02, 1.07037167e-02, 7.80873915e-01, 7.80873915e-01,
+                            1.07037167e-02, -3.68407812e-02 });
+    win<w::gaussian, f32>(
+        7, 2.5, s::periodic,
+        u{ 0.09139376, 0.29502266, 0.64438872, 0.9523448, 0.9523448, 0.64438872, 0.29502266 });
+    win<w::lanczos, f32>(7, 0.0, s::periodic,
+                         u{ -2.8e-08, 0.348411, 0.724101, 0.966766, 0.966766, 0.724101, 0.34841 });
+    win<w::cosine_np, f32>(
+        7, 0.0, s::periodic,
+        u{ 0.19509032, 0.55557023, 0.83146961, 0.98078528, 0.98078528, 0.83146961, 0.55557023 });
+
+    win<w::rectangular, f32>(8, 0.0, s::periodic, u{ 1, 1, 1, 1, 1, 1, 1, 1 });
+    win<w::triangular, f32>(8, 0.0, s::periodic, u{ 0.2, 0.4, 0.6, 0.8, 1., 0.8, 0.6, 0.4 });
+    win<w::bartlett, f32>(8, 0.0, s::periodic, u{ 0., 0.25, 0.5, 0.75, 1., 0.75, 0.5, 0.25 });
+    win<w::cosine, f32>(8, 0.0, s::periodic,
+                        u{ 0, 0.382683, 0.707107, 0.92388, 1, 0.92388, 0.707107, 0.382683 });
+    win<w::hann, f32>(8, 0.0, s::periodic,
+                      u{ 0., 0.14644661, 0.5, 0.85355339, 1., 0.85355339, 0.5, 0.14644661 });
+    win<w::bartlett_hann, f32>(8, 0.0, s::periodic,
+                               u{ 0., 0.17129942, 0.5, 0.82870058, 1., 0.82870058, 0.5, 0.17129942 });
+    win<w::hamming, f32>(8, 0.54, s::periodic,
+                         u{ 0.08, 0.21473088, 0.54, 0.86526912, 1., 0.86526912, 0.54, 0.21473088 });
+    win<w::bohman, f32>(8, 0.0, s::periodic,
+                        u{ 0., 0.04830238, 0.31830989, 0.75540916, 1., 0.75540916, 0.31830989, 0.04830238 });
+    win<w::blackman, f32>(8, 0.16, s::periodic,
+                          u{ -1.38777878e-17, 6.64466094e-02, 3.40000000e-01, 7.73553391e-01, 1.00000000e+00,
+                             7.73553391e-01, 3.40000000e-01, 6.64466094e-02 });
+    win<w::blackman_harris, f32>(8, 0.0, s::periodic,
+                                 u{ 6.00000000e-05, 2.17358370e-02, 2.17470000e-01, 6.95764163e-01,
+                                    1.00000000e+00, 6.95764163e-01, 2.17470000e-01, 2.17358370e-02 });
+    win<w::kaiser, f32>(
+        8, 8.0, s::periodic,
+        u{ 0.00233883, 0.08273982, 0.36897272, 0.78875245, 1., 0.78875245, 0.36897272, 0.08273982 });
+    win<w::flattop, f32>(8, 0.0, s::periodic,
+                         u{ -4.21051000e-04, -2.68721933e-02, -5.47368400e-02, 4.44135357e-01, 1.00000000e+00,
+                            4.44135357e-01, -5.47368400e-02, -2.68721933e-02 });
+    win<w::gaussian, f32>(
+        8, 2.5, s::periodic,
+        u{ 0.08465799, 0.24935221, 0.53940751, 0.85699689, 1., 0.85699689, 0.53940751, 0.24935221 });
+    win<w::lanczos, f32>(8, 0.0, s::periodic,
+                         u{ -2.8e-08, 0.300105, 0.63662, 0.900316, 1, 0.900316, 0.63662, 0.300105 });
+    win<w::cosine_np, f32>(8, 0.0, s::periodic,
+                           u{ 0.17364818, 0.5, 0.76604444, 0.93969262, 1., 0.93969262, 0.76604444, 0.5 });
+    // clang-format on
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
+
+CMT_PRAGMA_MSVC(warning(pop))
diff --git a/tests/unit/graphics/graphics.cpp b/tests/unit/graphics/graphics.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/graphics.hpp>
diff --git a/tests/unit/math/abs.cpp b/tests/unit/math/abs.cpp
@@ -1,22 +0,0 @@
-/**
- * KFR (http://kfrlib.com)
- * Copyright (C) 2016-2022 Fractalium Ltd
- * See LICENSE.txt for details
- */
-
-#include <kfr/math/abs.hpp>
-
-#include <kfr/io.hpp>
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-TEST(abs)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::abs(x); },
-        [](auto x) -> decltype(x) { return x >= 0 ? x : -x; });
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/tests/unit/math/math.cpp b/tests/unit/math/math.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/math.hpp>
diff --git a/tests/unit/math/min_max.cpp b/tests/unit/math/min_max.cpp
@@ -1,68 +0,0 @@
-/**
- * KFR (http://kfrlib.com)
- * Copyright (C) 2016-2022 Fractalium Ltd
- * See LICENSE.txt for details
- */
-
-#include <kfr/math/min_max.hpp>
-
-#include <kfr/io.hpp>
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-TEST(min)
-{
-    test_function2(
-        test_catogories::all, [](auto x, auto y) { return kfr::min(x, y); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> { return x <= y ? x : y; });
-}
-
-TEST(max)
-{
-    test_function2(
-        test_catogories::all, [](auto x, auto y) { return kfr::max(x, y); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> { return x >= y ? x : y; });
-}
-
-struct IsNotMinInt
-{
-    template <typename T>
-    bool operator()(ctype_t<T>, identity<T> x, identity<T> y) const
-    {
-        return is_floating_point<T> || is_unsigned<T> ||
-               (x != std::numeric_limits<T>::min() && y != std::numeric_limits<T>::min());
-    }
-    template <typename T, size_t N>
-    bool operator()(ctype_t<vec<T, N>>, identity<T> x, identity<T> y) const
-    {
-        return operator()(ctype<T>, x, y);
-    }
-};
-
-TEST(absmin)
-{
-    test_function2(
-        test_catogories::all, [](auto x, auto y) { return kfr::absmin(x, y); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
-            x = x >= 0 ? x : -x;
-            y = y >= 0 ? y : -y;
-            return x <= y ? x : y;
-        },
-        IsNotMinInt{});
-}
-
-TEST(absmax)
-{
-    test_function2(
-        test_catogories::all, [](auto x, auto y) { return kfr::absmax(x, y); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
-            x = x >= 0 ? x : -x;
-            y = y >= 0 ? y : -y;
-            return x >= y ? x : y;
-        },
-        IsNotMinInt{});
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/tests/unit/math/round.cpp b/tests/unit/math/round.cpp
@@ -1,58 +0,0 @@
-/**
- * KFR (http://kfrlib.com)
- * Copyright (C) 2016-2022 Fractalium Ltd
- * See LICENSE.txt for details
- */
-
-#include <kfr/math/round.hpp>
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-TEST(floor)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::floor(x); },
-        [](auto x) -> decltype(x) {
-            return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::floor(x));
-        });
-}
-
-TEST(ceil)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::ceil(x); },
-        [](auto x) -> decltype(x) {
-            return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::ceil(x));
-        });
-}
-
-TEST(trunc)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::trunc(x); },
-        [](auto x) -> decltype(x) {
-            return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::trunc(x));
-        });
-}
-
-TEST(round)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::round(x); },
-        [](auto x) -> decltype(x) {
-            return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::round(x));
-        });
-}
-
-TEST(fract)
-{
-    test_function1(
-        test_catogories::all, [](auto x) { return kfr::fract(x); },
-        [](auto x) -> decltype(x) {
-            return std::is_integral<decltype(x)>::value ? 0 : static_cast<decltype(x)>(x - std::floor(x));
-        });
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/tests/unit/math/select.cpp b/tests/unit/math/select.cpp
@@ -1,35 +0,0 @@
-/**
- * KFR (http://kfrlib.com)
- * Copyright (C) 2016-2022 Fractalium Ltd
- * See LICENSE.txt for details
- */
-
-#include <kfr/math/select.hpp>
-
-namespace kfr
-{
-inline namespace CMT_ARCH_NAME
-{
-TEST(select_true)
-{
-    test_function2(
-        test_catogories::vectors,
-        [](auto x, auto y) {
-            mask<subtype<decltype(x)>, decltype(x)::scalar_size()> m(true);
-            return kfr::select(m, x, y);
-        },
-        [](auto x, auto) { return x; });
-}
-
-TEST(select_false)
-{
-    test_function2(
-        test_catogories::vectors,
-        [](auto x, auto y) {
-            mask<subtype<decltype(x)>, decltype(x)::scalar_size()> m(false);
-            return kfr::select(m, x, y);
-        },
-        [](auto, auto y) { return y; });
-}
-} // namespace CMT_ARCH_NAME
-} // namespace kfr
diff --git a/tests/unit/simd/abs.cpp b/tests/unit/simd/abs.cpp
@@ -0,0 +1,22 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/simd/abs.hpp>
+
+#include <kfr/io.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+TEST(abs)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::abs(x); },
+        [](auto x) -> decltype(x) { return x >= 0 ? x : -x; });
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/simd/min_max.cpp b/tests/unit/simd/min_max.cpp
@@ -0,0 +1,70 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/simd/min_max.hpp>
+
+#include <kfr/io.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+TEST(min)
+{
+    test_function2(
+        test_catogories::all, [](auto x, auto y) { return kfr::min(x, y); },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> { return x <= y ? x : y; });
+}
+
+TEST(max)
+{
+    test_function2(
+        test_catogories::all, [](auto x, auto y) { return kfr::max(x, y); },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> { return x >= y ? x : y; });
+}
+
+struct IsNotMinInt
+{
+    template <typename T>
+    bool operator()(ctype_t<T>, identity<T> x, identity<T> y) const
+    {
+        return std::is_floating_point_v<T> || std::is_unsigned_v<T> ||
+               (x != std::numeric_limits<T>::min() && y != std::numeric_limits<T>::min());
+    }
+    template <typename T, size_t N>
+    bool operator()(ctype_t<vec<T, N>>, identity<T> x, identity<T> y) const
+    {
+        return operator()(cometa::ctype<T>, x, y);
+    }
+};
+
+TEST(absmin)
+{
+    test_function2(
+        test_catogories::all, [](auto x, auto y) { return kfr::absmin(x, y); },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)>
+        {
+            x = x >= 0 ? x : -x;
+            y = y >= 0 ? y : -y;
+            return x <= y ? x : y;
+        },
+        IsNotMinInt{});
+}
+
+TEST(absmax)
+{
+    test_function2(
+        test_catogories::all, [](auto x, auto y) { return kfr::absmax(x, y); },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)>
+        {
+            x = x >= 0 ? x : -x;
+            y = y >= 0 ? y : -y;
+            return x >= y ? x : y;
+        },
+        IsNotMinInt{});
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/simd/operators.cpp b/tests/unit/simd/operators.cpp
@@ -4,6 +4,7 @@
  * See LICENSE.txt for details
  */
 
+#include <kfr/io/tostring.hpp>
 #include <kfr/simd/horizontal.hpp>
 #include <kfr/simd/operators.hpp>
 
@@ -22,7 +23,8 @@ TEST(bnot)
 {
     test_function1(
         test_catogories::vectors, [](auto x) -> decltype(x) { return ~x; },
-        [](auto x) -> decltype(x) {
+        [](auto x) -> decltype(x)
+        {
             utype<decltype(x)> u = ~ubitcast(x);
             return bitcast<decltype(x)>(u);
         });
@@ -32,21 +34,21 @@ TEST(add)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x + y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> { return x + y; });
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> { return x + y; });
 }
 
 TEST(sub)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x - y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> { return x - y; });
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> { return x - y; });
 }
 
 TEST(mul)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x * y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> { return x * y; });
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> { return x * y; });
 }
 
 template <typename T>
@@ -59,20 +61,39 @@ TEST(div)
 {
     test_function2(
         test_catogories::vectors,
-        [](auto x, auto y) {
-            return is_safe_division<subtype<decltype(x)>>(x.front(), y.front()) ? x / y : 0;
-        },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y)
+        { return is_safe_division<subtype<decltype(x)>>(x.front(), y.front()) ? x / y : 0; },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return is_safe_division(x, y) ? x / y : 0;
         });
 }
+struct not_f
+{
+    template <typename T>
+    constexpr bool operator()(ctype_t<T>) const
+    {
+        return !is_f_class<subtype<T>>;
+    }
+};
+TEST(mod)
+{
+    test_function2(
+        test_catogories::vectors,
+        [](auto x, auto y)
+        { return is_safe_division<subtype<decltype(x)>>(x.front(), y.front()) ? x % y : 0; },
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
+            return is_safe_division(x, y) ? x % y : 0;
+        },
+        fn_return_constant<bool, true>{}, not_f{});
+}
 
 TEST(bor)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x | y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
-            using T = common_type<decltype(x), decltype(y)>;
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)>
+        {
+            using T = std::common_type_t<decltype(x), decltype(y)>;
             return bitcast<T>(static_cast<utype<T>>(ubitcast(T(x)) | ubitcast(T(y))));
         });
 }
@@ -81,8 +102,9 @@ TEST(bxor)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x ^ y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
-            using T = common_type<decltype(x), decltype(y)>;
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)>
+        {
+            using T = std::common_type_t<decltype(x), decltype(y)>;
             return bitcast<T>(static_cast<utype<T>>(ubitcast(T(x)) ^ ubitcast(T(y))));
         });
 }
@@ -91,8 +113,9 @@ TEST(band)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return x & y; },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
-            using T = common_type<decltype(x), decltype(y)>;
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)>
+        {
+            using T = std::common_type_t<decltype(x), decltype(y)>;
             return bitcast<T>(static_cast<utype<T>>(ubitcast(T(x)) & ubitcast(T(y))));
         });
 }
@@ -102,7 +125,8 @@ TEST(shl)
     testo::matrix(
         named("type") = test_catogories::types(test_catogories::vectors), named("value1") = special_values(),
         named("shift") = std::vector<unsigned>{ 1, 2, 7, 8, 9, 15, 16, 31, 32, 63, 64 },
-        [&](auto type, special_value value, unsigned shift) {
+        [&](auto type, special_value value, unsigned shift)
+        {
             using T = typename decltype(type)::type;
             if (shift < sizeof(subtype<T>))
             {
@@ -130,7 +154,8 @@ TEST(shr)
     testo::matrix(
         named("type") = test_catogories::types(test_catogories::vectors), named("value1") = special_values(),
         named("shift") = std::vector<unsigned>{ 1, 2, 7, 8, 9, 15, 16, 31, 32, 63, 64 },
-        [&](auto type, special_value value, unsigned shift) {
+        [&](auto type, special_value value, unsigned shift)
+        {
             using T = typename decltype(type)::type;
             if (shift < sizeof(subtype<T>))
             {
@@ -157,7 +182,7 @@ TEST(eq)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x == y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x == y);
         });
 }
@@ -166,7 +191,7 @@ TEST(ne)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x != y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x != y);
         });
 }
@@ -175,7 +200,7 @@ TEST(ge)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x >= y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x >= y);
         });
 }
@@ -184,7 +209,7 @@ TEST(le)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x <= y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x <= y);
         });
 }
@@ -193,7 +218,7 @@ TEST(gt)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x > y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x > y);
         });
 }
@@ -202,7 +227,7 @@ TEST(lt)
 {
     test_function2(
         test_catogories::vectors, [](auto x, auto y) { return (x < y).asvec(); },
-        [](auto x, auto y) -> common_type<decltype(x), decltype(y)> {
+        [](auto x, auto y) -> std::common_type_t<decltype(x), decltype(y)> {
             return maskbits<subtype<decltype(x)>>(x < y);
         });
 }
@@ -222,6 +247,10 @@ TEST(matrix)
 
     CHECK(m22 * i32x2{ -1, 100 } == i32x2x2{ i32x2{ -1, 200 }, i32x2{ -3, 400 } });
 
+    CHECK(vec{ vec{ 1, 1 }, vec{ 1, 1 } } * vec{ -1, 100 } == vec{ vec{ -1, 100 }, vec{ -1, 100 } });
+    CHECK(vec{ vec{ 1, 1 }, vec{ 1, 1 }, vec{ 1, 1 } } * vec{ -1, 100 } ==
+          vec{ vec{ -1, 100 }, vec{ -1, 100 }, vec{ -1, 100 } });
+
     i32x2 xy{ 10, 20 };
     i32x2x2 m{ i32x2{ 1, 2 }, i32x2{ 3, 4 } };
     xy = hadd(xy * m);
diff --git a/tests/unit/simd/round.cpp b/tests/unit/simd/round.cpp
@@ -0,0 +1,53 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/simd/round.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+TEST(floor)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::floor(x); },
+        [](auto x) -> decltype(x)
+        { return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::floor(x)); });
+}
+
+TEST(ceil)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::ceil(x); },
+        [](auto x) -> decltype(x)
+        { return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::ceil(x)); });
+}
+
+TEST(trunc)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::trunc(x); },
+        [](auto x) -> decltype(x)
+        { return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::trunc(x)); });
+}
+
+TEST(round)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::round(x); },
+        [](auto x) -> decltype(x)
+        { return std::is_integral<decltype(x)>::value ? x : static_cast<decltype(x)>(std::round(x)); });
+}
+
+TEST(fract)
+{
+    test_function1(
+        test_catogories::all, [](auto x) { return kfr::fract(x); },
+        [](auto x) -> decltype(x)
+        { return std::is_integral<decltype(x)>::value ? 0 : static_cast<decltype(x)>(x - std::floor(x)); });
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/simd/select.cpp b/tests/unit/simd/select.cpp
@@ -0,0 +1,37 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/simd/select.hpp>
+
+namespace kfr
+{
+inline namespace CMT_ARCH_NAME
+{
+TEST(select_true)
+{
+    test_function2(
+        test_catogories::vectors,
+        [](auto x, auto y)
+        {
+            mask<subtype<decltype(x)>, decltype(x)::scalar_size()> m(true);
+            return kfr::select(m, x, y);
+        },
+        [](auto x, auto) { return x; });
+}
+
+TEST(select_false)
+{
+    test_function2(
+        test_catogories::vectors,
+        [](auto x, auto y)
+        {
+            mask<subtype<decltype(x)>, decltype(x)::scalar_size()> m(false);
+            return kfr::select(m, x, y);
+        },
+        [](auto, auto y) { return y; });
+}
+} // namespace CMT_ARCH_NAME
+} // namespace kfr
diff --git a/tests/unit/simd/shuffle.cpp b/tests/unit/simd/shuffle.cpp
@@ -180,5 +180,11 @@ TEST(low_high)
     CHECK(low(vec<u8, 2>(1, 2)) == vec<u8, 1>(1));
     CHECK(high(vec<u8, 2>(1, 2)) == vec<u8, 1>(2));
 }
+TEST(enumerate)
+{
+    CHECK(enumerate(vec_shape<int, 4>{}, 4) == vec{ 0, 4, 8, 12 });
+    CHECK(enumerate(vec_shape<int, 8>{}, 3) == vec{ 0, 3, 6, 9, 12, 15, 18, 21 });
+    CHECK(enumerate(vec_shape<int, 7>{}, 3) == vec{ 0, 3, 6, 9, 12, 15, 18 });
+}
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/tests/unit/simd/simd.cpp b/tests/unit/simd/simd.cpp
@@ -0,0 +1,7 @@
+/**
+ * KFR (http://kfrlib.com)
+ * Copyright (C) 2016-2022 Fractalium Ltd
+ * See LICENSE.txt for details
+ */
+
+#include <kfr/simd.hpp>
diff --git a/tests/unit/simd/vec.cpp b/tests/unit/simd/vec.cpp
@@ -10,8 +10,15 @@
 
 namespace kfr
 {
+
+static_assert(std::is_same_v<i32x4, std::common_type_t<i32x4, i32x4>>);
+static_assert(std::is_same_v<i32x4, std::common_type_t<i32x4>>);
+static_assert(std::is_same_v<u32x4, std::common_type_t<i32x4, u32x4>>);
+static_assert(std::is_same_v<f64x4, std::common_type_t<i32x4, u32x4, f64x4>>);
+
 inline namespace CMT_ARCH_NAME
 {
+
 TEST(mask_op)
 {
     mask<float, 4> m = make_mask<float>(true, false, true, false);
@@ -53,9 +60,6 @@ bool is_in_range_of(Tin x)
 
 TEST(cast)
 {
-    testo::assert_is_same<i32x4, kfr::common_type<i32x4>>();
-    testo::assert_is_same<u32x4, kfr::common_type<i32x4, u32x4>>();
-    testo::assert_is_same<f64x4, kfr::common_type<i32x4, u32x4, f64x4>>();
 
     CHECK(static_cast<i32x4>(u16x4{ 1, 2, 3, 4 }) == i32x4{ 1, 2, 3, 4 });
 
@@ -63,86 +67,94 @@ TEST(cast)
               vec<float, 4>{ 1.f, 2.f, 3.f, 4.f }, vec<float, 4>{ 11.f, 22.f, 33.f, 44.f } }) ==
           vec<vec<double, 4>, 2>{ vec<double, 4>{ 1., 2., 3., 4. }, vec<double, 4>{ 11., 22., 33., 44. } });
 
-    static_assert(is_convertible<float, f32x4>, "");
-    static_assert(is_convertible<float, f64x8>, "");
-    static_assert(is_convertible<float, u8x3>, "");
+    static_assert(std::is_convertible_v<float, f32x4>, "");
+    static_assert(std::is_convertible_v<float, f64x8>, "");
+    static_assert(std::is_convertible_v<float, u8x3>, "");
+
+    static_assert(std::is_convertible_v<u16x4, i32x4>, "");
+    static_assert(!std::is_convertible_v<u16x4, i32x3>, "");
+    static_assert(!std::is_convertible_v<u16x1, u16x16>, "");
+
+    static_assert(std::is_convertible_v<float, vecx<float, 2>>, "");
+    static_assert(std::is_convertible_v<float, vecx<float, 2, 2>>, "");
 
-    static_assert(is_convertible<u16x4, i32x4>, "");
-    static_assert(!is_convertible<u16x4, i32x3>, "");
-    static_assert(!is_convertible<u16x1, u16x16>, "");
+    static_assert(std::is_same_v<decltype(broadcastto<f64>(f32x4x4(1))), f64x4x4>, "");
+    static_assert(std::is_same_v<decltype(broadcastto<f64>(f32x4(1))), f64x4>, "");
+    static_assert(std::is_same_v<decltype(broadcastto<f64>(f32(1))), f64>, "");
 
-    static_assert(is_same<decltype(innercast<f64>(f32x4x4(1))), f64x4x4>, "");
-    static_assert(is_same<decltype(innercast<f64>(f32x4(1))), f64x4>, "");
-    static_assert(is_same<decltype(innercast<f64>(f32(1))), f64>, "");
+    // N/A static_assert(std::is_same_v<decltype(broadcastto<f64x4>(f32x4x4(1))), f64x4x4>, "");
+    static_assert(std::is_same_v<decltype(broadcastto<f64x4>(f32x4(1))), f64x4x4>, "");
+    static_assert(std::is_same_v<decltype(broadcastto<f64x4>(f32(1))), f64x4>, "");
 
-    // N/A static_assert(is_same<decltype(innercast<f64x4>(f32x4x4(1))), f64x4x4>, "");
-    static_assert(is_same<decltype(innercast<f64x4>(f32x4(1))), f64x4x4>, "");
-    static_assert(is_same<decltype(innercast<f64x4>(f32(1))), f64x4>, "");
+    // N/A static_assert(std::is_same_v<decltype(promoteto<f64>(f32x4x4(1))), f64x4>, "");
+    static_assert(std::is_same_v<decltype(promoteto<f64>(f32x4(1))), f64x4>, "");
 
-    // N/A static_assert(is_same<decltype(elemcast<f64>(f32x4x4(1))), f64x4>, "");
-    static_assert(is_same<decltype(elemcast<f64>(f32x4(1))), f64x4>, "");
+    static_assert(std::is_same_v<decltype(promoteto<f64x4>(f32x4x4(1))), f64x4x4>, "");
+    static_assert(std::is_same_v<decltype(promoteto<f64x4>(f32x4(1))), f64x4x4>, "");
 
-    static_assert(is_same<decltype(elemcast<f64x4>(f32x4x4(1))), f64x4x4>, "");
-    static_assert(is_same<decltype(elemcast<f64x4>(f32x4(1))), f64x4x4>, "");
+    CHECK(cast<vecx<float, 2, 2>>(123.f) == vec{ vec{ 123.f, 123.f }, vec{ 123.f, 123.f } });
+
+    CHECK(promoteto<vecx<float, 2>>(vecx<float, 4>{ 1.f, 2.f, 3.f, 4.f }) ==
+          vec{ vec{ 1.f, 1.f }, vec{ 2.f, 2.f }, vec{ 3.f, 3.f }, vec{ 4.f, 4.f } });
 
     testo::scope s("");
     s.text = ("target_type = u8");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<u8>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<u8>(x); },
         [](auto x) -> u8 { return static_cast<u8>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<u8>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = i8");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<i8>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<i8>(x); },
         [](auto x) -> i8 { return static_cast<i8>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<i8>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = u16");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<u16>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<u16>(x); },
         [](auto x) -> u16 { return static_cast<u16>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<u16>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = i16");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<i16>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<i16>(x); },
         [](auto x) -> i16 { return static_cast<i16>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<i16>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = u32");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<u32>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<u32>(x); },
         [](auto x) -> u32 { return static_cast<u32>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<u32>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = i32");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<i32>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<i32>(x); },
         [](auto x) -> i32 { return static_cast<i32>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<i32>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = u64");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<u64>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<u64>(x); },
         [](auto x) -> u64 { return static_cast<u64>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<u64>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = i64");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<i64>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<i64>(x); },
         [](auto x) -> i64 { return static_cast<i64>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<i64>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = f32");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<f32>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<f32>(x); },
         [](auto x) -> f32 { return static_cast<f32>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<f32>(x.get<subtype<typename decltype(t)::type>>()); });
     s.text = ("target_type = f64");
     test_function1(
-        test_catogories::all, [](auto x) { return kfr::innercast<f64>(x); },
+        test_catogories::all, [](auto x) { return kfr::broadcastto<f64>(x); },
         [](auto x) -> f64 { return static_cast<f64>(x); },
         [](auto t, special_value x)
         { return is_in_range_of<f64>(x.get<subtype<typename decltype(t)::type>>()); });
@@ -198,5 +210,11 @@ TEST(masks)
     CHECK(float(v[3]) == maskbits<float>(true));
 }
 
+TEST(vec_deduction)
+{
+    vec v{ 1, 2, 3 };
+    static_assert(std::is_same_v<decltype(v), vec<int, 3>>);
+}
+
 } // namespace CMT_ARCH_NAME
 } // namespace kfr
diff --git a/update-sources.py b/update-sources.py
@@ -30,7 +30,15 @@ cmake = """
 # Use update-sources.py
 """
 
-list_sources("KFR_SRC", "include", ['*.hpp', '*.h', '*.i', '*.inc'])
+list_sources("KFR_SRC", "include", ['*.hpp', '*.h'])
+list_sources("KFR_SIMD_SRC", "include/kfr/simd", ['*.hpp', '*.h'])
+list_sources("KFR_MATH_SRC", "include/kfr/math", ['*.hpp', '*.h'])
+list_sources("KFR_BASE_SRC", "include/kfr/base", ['*.hpp', '*.h'])
+list_sources("KFR_DSP_SRC", "include/kfr/dsp", ['*.hpp', '*.h'])
+list_sources("KFR_IO_SRC", "include/kfr/io", ['*.hpp', '*.h'])
+list_sources("KFR_RUNTIME_SRC", "include/kfr/runtime", ['*.hpp', '*.h'])
+list_sources("KFR_GRAPHICS_SRC", "include/kfr/graphics", ['*.hpp', '*.h'])
+list_sources("KFR_SRC", "include", ['*.hpp', '*.h'])
 list_sources("KFR_DFT_SRC", "include/kfr/dft", ['*.cpp'], ["dft-src.cpp"])
 list_sources("KFR_IO_SRC", "include/kfr/io", ['*.cpp'])

	kfr Fast, modern C++ DSP framework, FFT, Sample Rate Conversion, FIR/IIR/Biquad Filters (SSE, AVX, AVX-512, ARM NEON)
	Log \| Files \| Refs \| README

M	CMakeLists.txt	\|	119	++++++++++++++++++++++++++++++++++++++++++++++---------------------------------
A	KNOWNBUGS.md	\|	9	+++++++++
M	README.md	\|	395	++++++++++++++-----------------------------------------------------------------
M	azure-pipelines.yml	\|	181	+++++++++++++++++++++++++++++++++++--------------------------------------------
M	capi/CMakeLists.txt	\|	3	+++
M	ci/build_capi_win.cmd	\|	2	+-
M	ci/run.cmd	\|	2	+-
M	cmake/aarch64.cmake	\|	4	++--
M	cmake/arm.cmake	\|	4	++--
A	docs/README.md	\|	1	+
M	docs/cxxdox.yml	\|	9	++++++---
A	docs/docs/basics.md	\|	334	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/capi.md	\|	27	+++++++++++++++++++++++++++
A	docs/docs/conv_reverb.md	\|	70	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	docs/docs/convert_stereo.md	\|	5	++---
M	docs/docs/convolution.md	\|	123	+++++++++++++++++++------------------------------------------------------------
M	docs/docs/css/fix.css	\|	31	++++++++++++++++++++-----------
M	docs/docs/dft.md	\|	2	+-
M	docs/docs/expressions.md	\|	181	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------
M	docs/docs/file_support.md	\|	3	++-
M	docs/docs/fir.md	\|	5	++---
M	docs/docs/fir_gallery.md	\|	19	+++++++++----------
A	docs/docs/iir_gallery.md	\|	213	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/bessel_lowpass12.svg	\|	4065	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/bessel_lowpass24.svg	\|	4983	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/bessel_lowpass6.svg	\|	3017	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_bandpass12.svg	\|	4844	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_bandpass4.svg	\|	2878	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_bandstop12.svg	\|	3068	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_highpass12.svg	\|	2935	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_lowpass12.svg	\|	4700	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/butterworth_lowpass24.svg	\|	4527	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/chebyshev1_lowpass8.svg	\|	5196	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/chebyshev2_lowpass8.svg	\|	3153	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	docs/docs/img/src-kfr1.png	\|	0
A	docs/docs/img/src-kfr2.png	\|	0
M	docs/docs/img/window_bartlett.svg	\|	1531	++++++++++++++++++++++++++++++++++++++++---------------------------------------
M	docs/docs/img/window_bartlett_hann.svg	\|	1536	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_blackman.svg	\|	1520	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_blackman_harris.svg	\|	1632	+++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_bohman.svg	\|	1518	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_cosine.svg	\|	1536	++++++++++++++++++++++++++++++++++++++++----------------------------------------
A	docs/docs/img/window_cosine_np.svg	\|	2224	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	docs/docs/img/window_flattop.svg	\|	1742	++++++++++++++++++++++++++++++++++++++++---------------------------------------
M	docs/docs/img/window_gaussian.svg	\|	1498	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_hamming.svg	\|	1517	++++++++++++++++++++++++++++++++++++++++---------------------------------------
M	docs/docs/img/window_hann.svg	\|	1538	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_kaiser.svg	\|	1544	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_lanczos.svg	\|	1534	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/img/window_triangular.svg	\|	1526	++++++++++++++++++++++++++++++++++++++++----------------------------------------
M	docs/docs/index.md	\|	103	++++++++++++++++++++++++++++++++-----------------------------------------------
A	docs/docs/installation.md	\|	257	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	docs/docs/normalize.md	\|	5	++---
M	docs/docs/src_gallery.md	\|	17	++++++++---------
D	docs/docs/types.md	\|	82	-------------------------------------------------------------------------------
A	docs/docs/whatsnew5.md	\|	17	+++++++++++++++++
A	docs/docs/window_gallery.md	\|	214	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	docs/mkdocs.yml	\|	51	+++++++++++++++++++++++++++++++++++++--------------
M	examples/CMakeLists.txt	\|	5	+++--
M	examples/biquads.cpp	\|	4	+++-
M	examples/ccv.cpp	\|	47	++++++++++++++++++++++++-----------------------
M	examples/fir.cpp	\|	9	++++-----
M	examples/window.cpp	\|	3	+++
M	include/kfr/base.hpp	\|	10	+++++++---
M	include/kfr/base/basic_expressions.hpp	\|	1246	+++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------
M	include/kfr/base/conversion.hpp	\|	34	+++++++++++++++++++---------------
M	include/kfr/base/expression.hpp	\|	1042	++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------
M	include/kfr/base/filter.hpp	\|	33	+++++++++++++++++----------------
M	include/kfr/base/fraction.hpp	\|	7	+++----
D	include/kfr/base/function_expressions.hpp	\|	30	------------------------------
M	include/kfr/base/generators.hpp	\|	221	++++++++++++++++++++++++++++++++++++++++---------------------------------------
A	include/kfr/base/handle.hpp	\|	412	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/base/impl/static_array.hpp	\|	230	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/base/math_expressions.hpp	\|	516	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/base/memory.hpp	\|	2	+-
D	include/kfr/base/pointer.hpp	\|	310	-------------------------------------------------------------------------------
M	include/kfr/base/random.hpp	\|	284	++++++++++++++++++++++++++++++++++++++++---------------------------------------
A	include/kfr/base/random_bits.hpp	\|	127	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/base/reduce.hpp	\|	181	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------
A	include/kfr/base/shape.hpp	\|	834	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/base/simd_expressions.hpp	\|	489	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
D	include/kfr/base/sort.hpp	\|	103	-------------------------------------------------------------------------------
A	include/kfr/base/state_holder.hpp	\|	49	+++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/base/tensor.hpp	\|	969	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/base/univector.hpp	\|	202	++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------------
M	include/kfr/capi.h	\|	2	+-
M	include/kfr/cident.h	\|	78	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++--------------
M	include/kfr/cometa.hpp	\|	409	+++++++++++++++++++++++++++++++++++++++++++------------------------------------
M	include/kfr/cometa/array.hpp	\|	4	++--
M	include/kfr/cometa/cstring.hpp	\|	8	++++----
M	include/kfr/cometa/function.hpp	\|	10	+++++-----
M	include/kfr/cometa/memory.hpp	\|	21	++++++++++-----------
M	include/kfr/cometa/numeric.hpp	\|	20	+++++++++-----------
M	include/kfr/cometa/result.hpp	\|	2	+-
M	include/kfr/cometa/string.hpp	\|	197	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----
M	include/kfr/dft/convolution.hpp	\|	12	++++++------
M	include/kfr/dft/fft.hpp	\|	16	++++++++--------
M	include/kfr/dft/impl/bitrev.hpp	\|	6	+++---
M	include/kfr/dft/impl/convolution-impl.cpp	\|	10	++++++----
M	include/kfr/dft/impl/dft-fft.hpp	\|	26	++++++++++++++++++++++++++
M	include/kfr/dft/impl/dft-impl.hpp	\|	101	+++++++++++++++++++++++++++++++++++++++++--------------------------------------
M	include/kfr/dft/impl/fft-impl.hpp	\|	148	++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
M	include/kfr/dft/impl/ft.hpp	\|	30	++++++++++++++++--------------
M	include/kfr/dsp/biquad.hpp	\|	218	++++++++++++++++++++++++++++++++++++++-----------------------------------------
M	include/kfr/dsp/dcremove.hpp	\|	10	++++------
M	include/kfr/dsp/delay.hpp	\|	98	++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
M	include/kfr/dsp/ebu.hpp	\|	16	++++++++++------
M	include/kfr/dsp/fir.hpp	\|	143	+++++++++++++++++++++++++++++++++++++++++--------------------------------------
M	include/kfr/dsp/fir_design.hpp	\|	38	++++++++++++++++++--------------------
M	include/kfr/dsp/fracdelay.hpp	\|	6	+++---
M	include/kfr/dsp/goertzel.hpp	\|	38	+++++++++++++++++++-------------------
M	include/kfr/dsp/iir_design.hpp	\|	17	+++++++++--------
M	include/kfr/dsp/mixdown.hpp	\|	13	++++---------
M	include/kfr/dsp/oscillators.hpp	\|	34	++++++++++++++++++----------------
M	include/kfr/dsp/sample_rate_conversion.hpp	\|	67	++++++++++++++++++++++++++++++++++++-------------------------------
M	include/kfr/dsp/special.hpp	\|	15	+++++++++------
D	include/kfr/dsp/state_holder.hpp	\|	41	-----------------------------------------
M	include/kfr/dsp/units.hpp	\|	34	+++++++++++++++++-----------------
M	include/kfr/dsp/waveshaper.hpp	\|	7	++++---
M	include/kfr/dsp/weighting.hpp	\|	7	++++---
M	include/kfr/dsp/window.hpp	\|	467	+++++++++++++++++++++++++++++++++++--------------------------------------------
A	include/kfr/except.hpp	\|	99	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/graphics.hpp	\|	3	+--
M	include/kfr/graphics/color.hpp	\|	7	++++---
M	include/kfr/graphics/geometry.hpp	\|	20	+++++++++++++-------
A	include/kfr/graphics/impl/scaled.hpp	\|	58	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
D	include/kfr/graphics/scaled.hpp	\|	59	-----------------------------------------------------------
M	include/kfr/io/file.hpp	\|	7	+++++--
M	include/kfr/io/python_plot.hpp	\|	4	++--
M	include/kfr/io/tostring.hpp	\|	118	-------------------------------------------------------------------------------
M	include/kfr/kfr.h	\|	31	+++++++++++++++++++++++++++----
M	include/kfr/math.hpp	\|	7	-------
D	include/kfr/math/abs.hpp	\|	54	------------------------------------------------------
M	include/kfr/math/asin_acos.hpp	\|	18	------------------
M	include/kfr/math/atan.hpp	\|	40	++--------------------------------------
D	include/kfr/math/clamp.hpp	\|	65	-----------------------------------------------------------------
M	include/kfr/math/complex_math.hpp	\|	126	++-----------------------------------------------------------------------------
M	include/kfr/math/gamma.hpp	\|	16	+---------------
M	include/kfr/math/hyperbolic.hpp	\|	44	--------------------------------------------
D	include/kfr/math/impl/abs.hpp	\|	138	-------------------------------------------------------------------------------
M	include/kfr/math/impl/asin_acos.hpp	\|	6	+++---
M	include/kfr/math/impl/atan.hpp	\|	10	+++++-----
D	include/kfr/math/impl/clamp.hpp	\|	55	-------------------------------------------------------
M	include/kfr/math/impl/gamma.hpp	\|	2	+-
M	include/kfr/math/impl/hyperbolic.hpp	\|	8	++++----
M	include/kfr/math/impl/log_exp.hpp	\|	74	+++++++++++++++++++++++++++++++++++++-------------------------------------
D	include/kfr/math/impl/logical.hpp	\|	284	-------------------------------------------------------------------------------
D	include/kfr/math/impl/min_max.hpp	\|	236	-------------------------------------------------------------------------------
D	include/kfr/math/impl/round.hpp	\|	282	-------------------------------------------------------------------------------
D	include/kfr/math/impl/saturation.hpp	\|	205	-------------------------------------------------------------------------------
D	include/kfr/math/impl/select.hpp	\|	331	-------------------------------------------------------------------------------
M	include/kfr/math/impl/sin_cos.hpp	\|	10	+++++-----
M	include/kfr/math/impl/tan.hpp	\|	11	+++++++----
M	include/kfr/math/interpolation.hpp	\|	2	+-
M	include/kfr/math/log_exp.hpp	\|	111	+++++--------------------------------------------------------------------------
D	include/kfr/math/min_max.hpp	\|	111	-------------------------------------------------------------------------------
M	include/kfr/math/modzerobessel.hpp	\|	6	------
D	include/kfr/math/round.hpp	\|	163	-------------------------------------------------------------------------------
D	include/kfr/math/saturation.hpp	\|	65	-----------------------------------------------------------------
D	include/kfr/math/select.hpp	\|	59	-----------------------------------------------------------
M	include/kfr/math/sin_cos.hpp	\|	123	-------------------------------------------------------------------------------
M	include/kfr/math/sqrt.hpp	\|	9	---------
M	include/kfr/math/tan.hpp	\|	12	------------
M	include/kfr/simd.hpp	\|	9	+++++++++
A	include/kfr/simd/abs.hpp	\|	45	+++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/clamp.hpp	\|	51	+++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/comparison.hpp	\|	50	+++++++-------------------------------------------
M	include/kfr/simd/complex.hpp	\|	207	+++++++++++++++++++++++++++++++------------------------------------------------
A	include/kfr/simd/complex_type.hpp	\|	122	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/impl/abs.hpp	\|	138	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/impl/backend_clang.hpp	\|	24	+++++++++++++-----------
M	include/kfr/simd/impl/backend_generic.hpp	\|	85	+++++++++++++++++++++++++++++++++++--------------------------------------------
M	include/kfr/simd/impl/basicoperators_clang.hpp	\|	6	++++++
A	include/kfr/simd/impl/basicoperators_complex.hpp	\|	111	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/impl/basicoperators_generic.hpp	\|	149	++++++++++++++++++++++++++-----------------------------------------------------
A	include/kfr/simd/impl/clamp.hpp	\|	55	+++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/impl/function.hpp	\|	11	+++++------
A	include/kfr/simd/impl/logical.hpp	\|	284	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/impl/min_max.hpp	\|	236	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/impl/operators.hpp	\|	159	+++++++------------------------------------------------------------------------
A	include/kfr/simd/impl/round.hpp	\|	282	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/impl/saturation.hpp	\|	205	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/impl/select.hpp	\|	331	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/impl/simd.hpp	\|	17	+++++++++++++++++
R	include/kfr/simd/impl/specializations.i -> include/kfr/simd/impl/specializations.hpp	\|	0
R	include/kfr/math/logical.hpp -> include/kfr/simd/logical.hpp	\|	0
A	include/kfr/simd/min_max.hpp	\|	75	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/operators.hpp	\|	301	++++++++++++++++++++-----------------------------------------------------------
M	include/kfr/simd/platform.hpp	\|	4	++--
M	include/kfr/simd/read_write.hpp	\|	15	+++++++++++----
A	include/kfr/simd/round.hpp	\|	108	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/saturation.hpp	\|	51	+++++++++++++++++++++++++++++++++++++++++++++++++++
A	include/kfr/simd/select.hpp	\|	49	+++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/shuffle.hpp	\|	50	+++++++++++++++++++++++++++++++++++++++++++++++++-
A	include/kfr/simd/sort.hpp	\|	103	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	include/kfr/simd/types.hpp	\|	99	++++++++++++++++++++++---------------------------------------------------------
M	include/kfr/simd/vec.hpp	\|	581	+++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------
M	include/kfr/testo/comparison.hpp	\|	6	+++++-
M	include/kfr/testo/testo.hpp	\|	51	++++++++++++++++++++++++++++++++-------------------
A	requirements.txt	\|	3	+++
M	sources.cmake	\|	383	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----
M	tests/CMakeLists.txt	\|	91	+++++++++++++++++++++++++++++++++++++++----------------------------------------
M	tests/asm_test.cpp	\|	4	++--
M	tests/base_test.cpp	\|	22	+++-------------------
M	tests/complex_test.cpp	\|	12	++++--------
M	tests/dft_test.cpp	\|	65	++++++++++++++++++++++++++++++++++++++++++++---------------------
M	tests/dsp_test.cpp	\|	567	+------------------------------------------------------------------------------
M	tests/expression_test.cpp	\|	149	+++----------------------------------------------------------------------------
M	tests/intrinsic_test.cpp	\|	42	+++++++++++++++++++++++-------------------
M	tests/numeric_tests.hpp	\|	96	++++++++++++++++++++++++++++++++++++++++++++-----------------------------------
A	tests/tensor_test.cpp	\|	14	++++++++++++++
A	tests/unit/base/base.cpp	\|	7	+++++++
A	tests/unit/base/basic_expressions.cpp	\|	157	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	tests/unit/base/conversion.cpp	\|	1	+
A	tests/unit/base/generators.cpp	\|	33	+++++++++++++++++++++++++++++++++
A	tests/unit/base/handle.cpp	\|	57	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	tests/unit/base/random.cpp	\|	40	++++++++++++++++++++++++++++++++--------
M	tests/unit/base/reduce.cpp	\|	9	+++++++++
A	tests/unit/base/shape.cpp	\|	76	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/base/std_ambiguities.cpp	\|	12	++++++++++++
A	tests/unit/base/tensor.cpp	\|	845	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/biquad.cpp	\|	113	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/biquad_design.cpp	\|	7	+++++++
A	tests/unit/dsp/dsp.cpp	\|	7	+++++++
A	tests/unit/dsp/ebu.cpp	\|	270	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/fir.cpp	\|	234	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/sample_rate_conversion.cpp	\|	51	+++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/units.cpp	\|	58	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/dsp/window.cpp	\|	195	+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/graphics/graphics.cpp	\|	7	+++++++
D	tests/unit/math/abs.cpp	\|	22	----------------------
A	tests/unit/math/math.cpp	\|	7	+++++++
D	tests/unit/math/min_max.cpp	\|	68	--------------------------------------------------------------------
D	tests/unit/math/round.cpp	\|	58	----------------------------------------------------------
D	tests/unit/math/select.cpp	\|	35	-----------------------------------
A	tests/unit/simd/abs.cpp	\|	22	++++++++++++++++++++++
A	tests/unit/simd/min_max.cpp	\|	70	++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
M	tests/unit/simd/operators.cpp	\|	73	+++++++++++++++++++++++++++++++++++++++++++++++++++----------------------
A	tests/unit/simd/round.cpp	\|	53	+++++++++++++++++++++++++++++++++++++++++++++++++++++
A	tests/unit/simd/select.cpp	\|	37	+++++++++++++++++++++++++++++++++++++
M	tests/unit/simd/shuffle.cpp	\|	6	++++++
A	tests/unit/simd/simd.cpp	\|	7	+++++++
M	tests/unit/simd/vec.cpp	\|	76	+++++++++++++++++++++++++++++++++++++++++++++++-----------------------------
M	update-sources.py	\|	10	+++++++++-