1*d9f75844SAndroid Build Coastguard Worker /*
2*d9f75844SAndroid Build Coastguard Worker * Copyright (c) 2015 The WebRTC project authors. All Rights Reserved.
3*d9f75844SAndroid Build Coastguard Worker *
4*d9f75844SAndroid Build Coastguard Worker * Use of this source code is governed by a BSD-style license
5*d9f75844SAndroid Build Coastguard Worker * that can be found in the LICENSE file in the root of the source
6*d9f75844SAndroid Build Coastguard Worker * tree. An additional intellectual property rights grant can be found
7*d9f75844SAndroid Build Coastguard Worker * in the file PATENTS. All contributing project authors may
8*d9f75844SAndroid Build Coastguard Worker * be found in the AUTHORS file in the root of the source tree.
9*d9f75844SAndroid Build Coastguard Worker */
10*d9f75844SAndroid Build Coastguard Worker
11*d9f75844SAndroid Build Coastguard Worker #include "common_audio/real_fourier_ooura.h"
12*d9f75844SAndroid Build Coastguard Worker
13*d9f75844SAndroid Build Coastguard Worker #include <algorithm>
14*d9f75844SAndroid Build Coastguard Worker #include <cmath>
15*d9f75844SAndroid Build Coastguard Worker
16*d9f75844SAndroid Build Coastguard Worker #include "common_audio/third_party/ooura/fft_size_256/fft4g.h"
17*d9f75844SAndroid Build Coastguard Worker #include "rtc_base/checks.h"
18*d9f75844SAndroid Build Coastguard Worker
19*d9f75844SAndroid Build Coastguard Worker namespace webrtc {
20*d9f75844SAndroid Build Coastguard Worker
21*d9f75844SAndroid Build Coastguard Worker using std::complex;
22*d9f75844SAndroid Build Coastguard Worker
23*d9f75844SAndroid Build Coastguard Worker namespace {
24*d9f75844SAndroid Build Coastguard Worker
Conjugate(complex<float> * array,size_t complex_length)25*d9f75844SAndroid Build Coastguard Worker void Conjugate(complex<float>* array, size_t complex_length) {
26*d9f75844SAndroid Build Coastguard Worker std::for_each(array, array + complex_length,
27*d9f75844SAndroid Build Coastguard Worker [=](complex<float>& v) { v = std::conj(v); });
28*d9f75844SAndroid Build Coastguard Worker }
29*d9f75844SAndroid Build Coastguard Worker
ComputeWorkIpSize(size_t fft_length)30*d9f75844SAndroid Build Coastguard Worker size_t ComputeWorkIpSize(size_t fft_length) {
31*d9f75844SAndroid Build Coastguard Worker return static_cast<size_t>(
32*d9f75844SAndroid Build Coastguard Worker 2 + std::ceil(std::sqrt(static_cast<float>(fft_length))));
33*d9f75844SAndroid Build Coastguard Worker }
34*d9f75844SAndroid Build Coastguard Worker
35*d9f75844SAndroid Build Coastguard Worker } // namespace
36*d9f75844SAndroid Build Coastguard Worker
RealFourierOoura(int fft_order)37*d9f75844SAndroid Build Coastguard Worker RealFourierOoura::RealFourierOoura(int fft_order)
38*d9f75844SAndroid Build Coastguard Worker : order_(fft_order),
39*d9f75844SAndroid Build Coastguard Worker length_(FftLength(order_)),
40*d9f75844SAndroid Build Coastguard Worker complex_length_(ComplexLength(order_)),
41*d9f75844SAndroid Build Coastguard Worker // Zero-initializing work_ip_ will cause rdft to initialize these work
42*d9f75844SAndroid Build Coastguard Worker // arrays on the first call.
43*d9f75844SAndroid Build Coastguard Worker work_ip_(new size_t[ComputeWorkIpSize(length_)]()),
44*d9f75844SAndroid Build Coastguard Worker work_w_(new float[complex_length_]()) {
45*d9f75844SAndroid Build Coastguard Worker RTC_CHECK_GE(fft_order, 1);
46*d9f75844SAndroid Build Coastguard Worker }
47*d9f75844SAndroid Build Coastguard Worker
48*d9f75844SAndroid Build Coastguard Worker RealFourierOoura::~RealFourierOoura() = default;
49*d9f75844SAndroid Build Coastguard Worker
Forward(const float * src,complex<float> * dest) const50*d9f75844SAndroid Build Coastguard Worker void RealFourierOoura::Forward(const float* src, complex<float>* dest) const {
51*d9f75844SAndroid Build Coastguard Worker {
52*d9f75844SAndroid Build Coastguard Worker // This cast is well-defined since C++11. See "Non-static data members" at:
53*d9f75844SAndroid Build Coastguard Worker // http://en.cppreference.com/w/cpp/numeric/complex
54*d9f75844SAndroid Build Coastguard Worker auto* dest_float = reinterpret_cast<float*>(dest);
55*d9f75844SAndroid Build Coastguard Worker std::copy(src, src + length_, dest_float);
56*d9f75844SAndroid Build Coastguard Worker WebRtc_rdft(length_, 1, dest_float, work_ip_.get(), work_w_.get());
57*d9f75844SAndroid Build Coastguard Worker }
58*d9f75844SAndroid Build Coastguard Worker
59*d9f75844SAndroid Build Coastguard Worker // Ooura places real[n/2] in imag[0].
60*d9f75844SAndroid Build Coastguard Worker dest[complex_length_ - 1] = complex<float>(dest[0].imag(), 0.0f);
61*d9f75844SAndroid Build Coastguard Worker dest[0] = complex<float>(dest[0].real(), 0.0f);
62*d9f75844SAndroid Build Coastguard Worker // Ooura returns the conjugate of the usual Fourier definition.
63*d9f75844SAndroid Build Coastguard Worker Conjugate(dest, complex_length_);
64*d9f75844SAndroid Build Coastguard Worker }
65*d9f75844SAndroid Build Coastguard Worker
Inverse(const complex<float> * src,float * dest) const66*d9f75844SAndroid Build Coastguard Worker void RealFourierOoura::Inverse(const complex<float>* src, float* dest) const {
67*d9f75844SAndroid Build Coastguard Worker {
68*d9f75844SAndroid Build Coastguard Worker auto* dest_complex = reinterpret_cast<complex<float>*>(dest);
69*d9f75844SAndroid Build Coastguard Worker // The real output array is shorter than the input complex array by one
70*d9f75844SAndroid Build Coastguard Worker // complex element.
71*d9f75844SAndroid Build Coastguard Worker const size_t dest_complex_length = complex_length_ - 1;
72*d9f75844SAndroid Build Coastguard Worker std::copy(src, src + dest_complex_length, dest_complex);
73*d9f75844SAndroid Build Coastguard Worker // Restore Ooura's conjugate definition.
74*d9f75844SAndroid Build Coastguard Worker Conjugate(dest_complex, dest_complex_length);
75*d9f75844SAndroid Build Coastguard Worker // Restore real[n/2] to imag[0].
76*d9f75844SAndroid Build Coastguard Worker dest_complex[0] =
77*d9f75844SAndroid Build Coastguard Worker complex<float>(dest_complex[0].real(), src[complex_length_ - 1].real());
78*d9f75844SAndroid Build Coastguard Worker }
79*d9f75844SAndroid Build Coastguard Worker
80*d9f75844SAndroid Build Coastguard Worker WebRtc_rdft(length_, -1, dest, work_ip_.get(), work_w_.get());
81*d9f75844SAndroid Build Coastguard Worker
82*d9f75844SAndroid Build Coastguard Worker // Ooura returns a scaled version.
83*d9f75844SAndroid Build Coastguard Worker const float scale = 2.0f / length_;
84*d9f75844SAndroid Build Coastguard Worker std::for_each(dest, dest + length_, [scale](float& v) { v *= scale; });
85*d9f75844SAndroid Build Coastguard Worker }
86*d9f75844SAndroid Build Coastguard Worker
order() const87*d9f75844SAndroid Build Coastguard Worker int RealFourierOoura::order() const {
88*d9f75844SAndroid Build Coastguard Worker return order_;
89*d9f75844SAndroid Build Coastguard Worker }
90*d9f75844SAndroid Build Coastguard Worker
91*d9f75844SAndroid Build Coastguard Worker } // namespace webrtc
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