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/*
* Copyright (c) 2018, Alliance for Open Media. All rights reserved
*
* This source code is subject to the terms of the BSD 2 Clause License and
* the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
* was not distributed with this source code in the LICENSE file, you can
* obtain it at www.aomedia.org/license/software. If the Alliance for Open
* Media Patent License 1.0 was not distributed with this source code in the
* PATENTS file, you can obtain it at www.aomedia.org/license/patent.
*/
#include <math.h>
#include <algorithm>
#include <complex>
#include <ostream>
#include <vector>
#include "aom_dsp/fft_common.h"
#include "aom_mem/aom_mem.h"
#include "av1/common/common.h"
#include "config/aom_dsp_rtcd.h"
#include "test/acm_random.h"
#include "third_party/googletest/src/googletest/include/gtest/gtest.h"
namespace {
typedef void (*tform_fun_t)(const float *input, float *temp, float *output);
// Simple 1D FFT implementation
template <typename InputType>
void fft(const InputType *data, std::complex<float> *result, int n) {
if (n == 1) {
result[0] = data[0];
return;
}
std::vector<InputType> temp(n);
for (int k = 0; k < n / 2; ++k) {
temp[k] = data[2 * k];
temp[n / 2 + k] = data[2 * k + 1];
}
fft(&temp[0], result, n / 2);
fft(&temp[n / 2], result + n / 2, n / 2);
for (int k = 0; k < n / 2; ++k) {
std::complex<float> w = std::complex<float>((float)cos(2. * PI * k / n),
(float)-sin(2. * PI * k / n));
std::complex<float> a = result[k];
std::complex<float> b = result[n / 2 + k];
result[k] = a + w * b;
result[n / 2 + k] = a - w * b;
}
}
void transpose(std::vector<std::complex<float> > *data, int n) {
for (int y = 0; y < n; ++y) {
for (int x = y + 1; x < n; ++x) {
std::swap((*data)[y * n + x], (*data)[x * n + y]);
}
}
}
// Simple 2D FFT implementation
template <class InputType>
std::vector<std::complex<float> > fft2d(const InputType *input, int n) {
std::vector<std::complex<float> > rowfft(n * n);
std::vector<std::complex<float> > result(n * n);
for (int y = 0; y < n; ++y) {
fft(input + y * n, &rowfft[y * n], n);
}
transpose(&rowfft, n);
for (int y = 0; y < n; ++y) {
fft(&rowfft[y * n], &result[y * n], n);
}
transpose(&result, n);
return result;
}
struct FFTTestArg {
int n;
void (*fft)(const float *input, float *temp, float *output);
FFTTestArg(int n_in, tform_fun_t fft_in) : n(n_in), fft(fft_in) {}
};
std::ostream &operator<<(std::ostream &os, const FFTTestArg &test_arg) {
return os << "fft_arg { n:" << test_arg.n
<< " fft:" << reinterpret_cast<const void *>(test_arg.fft) << " }";
}
class FFT2DTest : public ::testing::TestWithParam<FFTTestArg> {
protected:
void SetUp() override {
int n = GetParam().n;
input_ = (float *)aom_memalign(32, sizeof(*input_) * n * n);
temp_ = (float *)aom_memalign(32, sizeof(*temp_) * n * n);
output_ = (float *)aom_memalign(32, sizeof(*output_) * n * n * 2);
ASSERT_NE(input_, nullptr);
ASSERT_NE(temp_, nullptr);
ASSERT_NE(output_, nullptr);
memset(input_, 0, sizeof(*input_) * n * n);
memset(temp_, 0, sizeof(*temp_) * n * n);
memset(output_, 0, sizeof(*output_) * n * n * 2);
}
void TearDown() override {
aom_free(input_);
aom_free(temp_);
aom_free(output_);
}
float *input_;
float *temp_;
float *output_;
};
TEST_P(FFT2DTest, Correct) {
int n = GetParam().n;
for (int i = 0; i < n * n; ++i) {
input_[i] = 1;
std::vector<std::complex<float> > expected = fft2d<float>(&input_[0], n);
GetParam().fft(&input_[0], &temp_[0], &output_[0]);
for (int y = 0; y < n; ++y) {
for (int x = 0; x < (n / 2) + 1; ++x) {
EXPECT_NEAR(expected[y * n + x].real(), output_[2 * (y * n + x)], 1e-5);
EXPECT_NEAR(expected[y * n + x].imag(), output_[2 * (y * n + x) + 1],
1e-5);
}
}
input_[i] = 0;
}
}
TEST_P(FFT2DTest, Benchmark) {
int n = GetParam().n;
float sum = 0;
const int num_trials = 1000 * (64 - n);
for (int i = 0; i < num_trials; ++i) {
input_[i % (n * n)] = 1;
GetParam().fft(&input_[0], &temp_[0], &output_[0]);
sum += output_[0];
input_[i % (n * n)] = 0;
}
EXPECT_NEAR(sum, num_trials, 1e-3);
}
INSTANTIATE_TEST_SUITE_P(C, FFT2DTest,
::testing::Values(FFTTestArg(2, aom_fft2x2_float_c),
FFTTestArg(4, aom_fft4x4_float_c),
FFTTestArg(8, aom_fft8x8_float_c),
FFTTestArg(16, aom_fft16x16_float_c),
FFTTestArg(32,
aom_fft32x32_float_c)));
#if AOM_ARCH_X86 || AOM_ARCH_X86_64
#if HAVE_SSE2
INSTANTIATE_TEST_SUITE_P(
SSE2, FFT2DTest,
::testing::Values(FFTTestArg(4, aom_fft4x4_float_sse2),
FFTTestArg(8, aom_fft8x8_float_sse2),
FFTTestArg(16, aom_fft16x16_float_sse2),
FFTTestArg(32, aom_fft32x32_float_sse2)));
#endif // HAVE_SSE2
#if HAVE_AVX2
INSTANTIATE_TEST_SUITE_P(
AVX2, FFT2DTest,
::testing::Values(FFTTestArg(8, aom_fft8x8_float_avx2),
FFTTestArg(16, aom_fft16x16_float_avx2),
FFTTestArg(32, aom_fft32x32_float_avx2)));
#endif // HAVE_AVX2
#endif // AOM_ARCH_X86 || AOM_ARCH_X86_64
struct IFFTTestArg {
int n;
tform_fun_t ifft;
IFFTTestArg(int n_in, tform_fun_t ifft_in) : n(n_in), ifft(ifft_in) {}
};
std::ostream &operator<<(std::ostream &os, const IFFTTestArg &test_arg) {
return os << "ifft_arg { n:" << test_arg.n
<< " fft:" << reinterpret_cast<const void *>(test_arg.ifft) << " }";
}
class IFFT2DTest : public ::testing::TestWithParam<IFFTTestArg> {
protected:
void SetUp() override {
int n = GetParam().n;
input_ = (float *)aom_memalign(32, sizeof(*input_) * n * n * 2);
temp_ = (float *)aom_memalign(32, sizeof(*temp_) * n * n * 2);
output_ = (float *)aom_memalign(32, sizeof(*output_) * n * n);
ASSERT_NE(input_, nullptr);
ASSERT_NE(temp_, nullptr);
ASSERT_NE(output_, nullptr);
memset(input_, 0, sizeof(*input_) * n * n * 2);
memset(temp_, 0, sizeof(*temp_) * n * n * 2);
memset(output_, 0, sizeof(*output_) * n * n);
}
void TearDown() override {
aom_free(input_);
aom_free(temp_);
aom_free(output_);
}
float *input_;
float *temp_;
float *output_;
};
TEST_P(IFFT2DTest, Correctness) {
int n = GetParam().n;
ASSERT_GE(n, 2);
std::vector<float> expected(n * n);
std::vector<float> actual(n * n);
// Do forward transform then invert to make sure we get back expected
for (int y = 0; y < n; ++y) {
for (int x = 0; x < n; ++x) {
expected[y * n + x] = 1;
std::vector<std::complex<float> > input_c = fft2d(&expected[0], n);
for (int i = 0; i < n * n; ++i) {
input_[2 * i + 0] = input_c[i].real();
input_[2 * i + 1] = input_c[i].imag();
}
GetParam().ifft(&input_[0], &temp_[0], &output_[0]);
for (int yy = 0; yy < n; ++yy) {
for (int xx = 0; xx < n; ++xx) {
EXPECT_NEAR(expected[yy * n + xx], output_[yy * n + xx] / (n * n),
1e-5);
}
}
expected[y * n + x] = 0;
}
}
}
TEST_P(IFFT2DTest, Benchmark) {
int n = GetParam().n;
float sum = 0;
const int num_trials = 1000 * (64 - n);
for (int i = 0; i < num_trials; ++i) {
input_[i % (n * n)] = 1;
GetParam().ifft(&input_[0], &temp_[0], &output_[0]);
sum += output_[0];
input_[i % (n * n)] = 0;
}
EXPECT_GE(sum, num_trials / 2);
}
INSTANTIATE_TEST_SUITE_P(
C, IFFT2DTest,
::testing::Values(IFFTTestArg(2, aom_ifft2x2_float_c),
IFFTTestArg(4, aom_ifft4x4_float_c),
IFFTTestArg(8, aom_ifft8x8_float_c),
IFFTTestArg(16, aom_ifft16x16_float_c),
IFFTTestArg(32, aom_ifft32x32_float_c)));
#if AOM_ARCH_X86 || AOM_ARCH_X86_64
#if HAVE_SSE2
INSTANTIATE_TEST_SUITE_P(
SSE2, IFFT2DTest,
::testing::Values(IFFTTestArg(4, aom_ifft4x4_float_sse2),
IFFTTestArg(8, aom_ifft8x8_float_sse2),
IFFTTestArg(16, aom_ifft16x16_float_sse2),
IFFTTestArg(32, aom_ifft32x32_float_sse2)));
#endif // HAVE_SSE2
#if HAVE_AVX2
INSTANTIATE_TEST_SUITE_P(
AVX2, IFFT2DTest,
::testing::Values(IFFTTestArg(8, aom_ifft8x8_float_avx2),
IFFTTestArg(16, aom_ifft16x16_float_avx2),
IFFTTestArg(32, aom_ifft32x32_float_avx2)));
#endif // HAVE_AVX2
#endif // AOM_ARCH_X86 || AOM_ARCH_X86_64
} // namespace
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