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Fast, modern C++ DSP framework, FFT, Sample Rate Conversion, FIR/IIR/Biquad Filters (SSE, AVX, AVX-512, ARM NEON)

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KFR - Fast, modern C++ DSP framework

Build Status Gitter License

Compiler support:

Clang 6+ Xcode 9+ GCC 7+ MSVC 2017

https://www.kfr.dev

KFR is an open source C++ DSP framework that focuses on high performance (see benchmark results section).

KFR has no external dependencies except C++17-compatible standard C++ library.

Some C++17 library features will be emulated if not present in the standard library.

Features

What's new in KFR 4.0

  • 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)
  • 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, @ncorgan, @rotkreis, @mujjingun for fixes and bug reports)

Release notes

  • MSVC support is limited to MSVC2017 due to ICE in MSVC2019. Once fixed, support will be added
  • 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
  • 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
  • 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

Powers of 2, from 16 to 16777216 (Higher is better)

FFT Performance

Prime numbers from 17 to 127 (Higher is better)

DFT Performance

Small numbers from 18 to 119 (Higher is better)

DFT Performance

Random sizes from 120 to 30720000 (Higher is better)

DFT Performance

See fft benchmark for details about benchmarking process.

Biquad

(Higher is better)

Biquad Performance

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:

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

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

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

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
# 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)

# 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

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

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:

cd <path_to_kfr>
mkdir build && cd build
cmake -GXcode -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
cmake --build .

Using Unix Makefiles:

cd <path_to_kfr>
mkdir build && cd build
cmake -G"Unix Makefiles" -DENABLE_TESTS=ON -DCMAKE_BUILD_TYPE=Release ..
make -- -j

Or using Ninja:

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.
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

Download and install official LLVM extension:

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:

https://www.kfrlib.com/newdocs/

Built with

Branches

dev - current development version. Pull requests should go to dev.

master - current stable version passing all compiler/architecture tests.

Tests

Every commit is tested in various OS, compilers, compiler settings etc.

You can run the tests using these commands:

cd <path_to_cmake_build_directory>
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

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Fast, modern C++ DSP framework, FFT, Sample Rate Conversion, FIR/IIR/Biquad Filters (SSE, AVX, AVX-512, ARM NEON)

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