commit 94ce3b477a034782dc093eac4fd4f6d96838fc38
parent e7e510cbd6d5e0284b42a3cb953352f523a43bf9
Author: [email protected] <[email protected]>
Date: Sat, 12 Nov 2022 21:01:56 +0000
Documentation
Diffstat:
37 files changed, 56288 insertions(+), 10184 deletions(-)
diff --git a/docs/README.md b/docs/README.md
@@ -0,0 +1,39 @@
+# KFR 5 Documentation
+
+## Getting started
+
+* [What's new in KFR 5](docs/whatsnew5.md)
+* [Data types](docs/types.md)
+* [Expressions](docs/expressions.md)
+
+## Guides
+
+### DSP
+* [How to apply a FIR filter](docs/fir.md)
+* [How to apply a Biquad filter](docs/bq.md)
+* [How to do Sample Rate Conversion](docs/src.md)
+* [How to apply Convolution Reverb](docs/conv_reverb.md)
+* [How to measure loudness according to EBU R 128](docs/ebur128.md)
+* [How to convert sample type](docs/conversion.md)
+* [How to normalize audio](docs/normalize.md)
+* [How to mix stereo channels](docs/convert_stereo.md)
+* [FIR filters code & examples](docs/fir_gallery.md)
+* [IIR filters code & examples](docs/iir_gallery.md)
+* [Biquad filters code & examples](docs/bq_gallery.md)
+* [Sample Rate Converter code & examples](docs/src_gallery.md)
+* [Window functions code & examples](docs/window_gallery.md)
+* [Convolution filter details](docs/convolution.md)
+
+### FFT
+* [How to apply Fast Fourier Transform](docs/dft.md)
+* [More about FFT/DFT](docs/dtf2.md)
+* [DFT data layout](docs/dft_format.md)
+
+### I/O
+* [How to read WAV file](docs/read_audio.md)
+* [File types support](docs/file_support.md)
+* [How to plot filter impulse response](docs/plot.md)
+
+## Function reference
+
+Function reference is generated from source files and not included here, see https://kfr.dev/newdocs
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](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;
+```
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/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/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
+
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
+
+## 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
+
+
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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
-
+## High quality preset
+
-
+
-### High quality preset (taps=2048)
+## High quality preset (taps=2048)
-### Normal quality preset (taps=512)
+## Normal quality preset (taps=512)
-### Low quality preset (taps=128)
+## Low quality preset (taps=128)
-### Draft quality preset (taps=32)
-
-\ No newline at end of file
+## Draft quality preset (taps=32)
+
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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
+
+## 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
+
diff --git a/docs/mkdocs.yml b/docs/mkdocs.yml
@@ -51,17 +51,20 @@ nav:
- types.md
- expressions.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
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'");
