diff options
| author | Neil Birkbeck <birkbeck@google.com> | 2018-06-12 08:03:48 -0700 |
|---|---|---|
| committer | Yaowu Xu <yaowu@google.com> | 2018-06-15 17:01:39 +0000 |
| commit | 04721792760c4cdf52b39b579391441a0927e349 (patch) | |
| tree | 43b59ebde47ccbf66b4463709356cc8f3229805f /aom_dsp | |
| parent | 58f109babf7af8bfe5f0f9b50ae78da4fe7f809a (diff) | |
Add 2d wiener denoiser for regrainer
This also adds support for 2d fft (float) to be used
for both denoising and noise power spectral density estimation.
Change-Id: Ie95b44280bb301dfd3f0cf06d139e307d2f4e11b
Diffstat (limited to 'aom_dsp')
| -rw-r--r-- | aom_dsp/aom_dsp.cmake | 4 | ||||
| -rwxr-xr-x | aom_dsp/aom_dsp_rtcd_defs.pl | 28 | ||||
| -rw-r--r-- | aom_dsp/fft.c | 219 | ||||
| -rw-r--r-- | aom_dsp/fft_common.h | 1050 | ||||
| -rw-r--r-- | aom_dsp/noise_model.c | 190 | ||||
| -rw-r--r-- | aom_dsp/noise_model.h | 19 | ||||
| -rw-r--r-- | aom_dsp/noise_util.c | 111 | ||||
| -rw-r--r-- | aom_dsp/noise_util.h | 38 | ||||
| -rw-r--r-- | aom_dsp/x86/fft_avx2.c | 73 | ||||
| -rw-r--r-- | aom_dsp/x86/fft_sse2.c | 166 |
10 files changed, 1898 insertions, 0 deletions
diff --git a/aom_dsp/aom_dsp.cmake b/aom_dsp/aom_dsp.cmake index a49177906..768875f7d 100644 --- a/aom_dsp/aom_dsp.cmake +++ b/aom_dsp/aom_dsp.cmake @@ -26,6 +26,8 @@ list(APPEND AOM_DSP_COMMON_SOURCES "${AOM_ROOT}/aom_dsp/blend_a64_vmask.c" "${AOM_ROOT}/aom_dsp/entcode.c" "${AOM_ROOT}/aom_dsp/entcode.h" + "${AOM_ROOT}/aom_dsp/fft.c" + "${AOM_ROOT}/aom_dsp/fft_common.h" "${AOM_ROOT}/aom_dsp/intrapred.c" "${AOM_ROOT}/aom_dsp/intrapred_common.h" "${AOM_ROOT}/aom_dsp/loopfilter.c" @@ -54,6 +56,7 @@ list(APPEND AOM_DSP_COMMON_INTRIN_SSE2 "${AOM_ROOT}/aom_dsp/x86/aom_asm_stubs.c" "${AOM_ROOT}/aom_dsp/x86/convolve.h" "${AOM_ROOT}/aom_dsp/x86/convolve_sse2.h" + "${AOM_ROOT}/aom_dsp/x86/fft_sse2.c" "${AOM_ROOT}/aom_dsp/x86/highbd_intrapred_sse2.c" "${AOM_ROOT}/aom_dsp/x86/highbd_loopfilter_sse2.c" "${AOM_ROOT}/aom_dsp/x86/intrapred_sse2.c" @@ -81,6 +84,7 @@ list(APPEND AOM_DSP_COMMON_INTRIN_AVX2 "${AOM_ROOT}/aom_dsp/x86/aom_subpixel_8t_intrin_avx2.c" "${AOM_ROOT}/aom_dsp/x86/common_avx2.h" "${AOM_ROOT}/aom_dsp/x86/convolve_avx2.h" + "${AOM_ROOT}/aom_dsp/x86/fft_avx2.c" "${AOM_ROOT}/aom_dsp/x86/highbd_convolve_avx2.c" "${AOM_ROOT}/aom_dsp/x86/highbd_loopfilter_avx2.c" "${AOM_ROOT}/aom_dsp/x86/intrapred_avx2.c") diff --git a/aom_dsp/aom_dsp_rtcd_defs.pl b/aom_dsp/aom_dsp_rtcd_defs.pl index 0b23b954b..38084d4ae 100755 --- a/aom_dsp/aom_dsp_rtcd_defs.pl +++ b/aom_dsp/aom_dsp_rtcd_defs.pl @@ -484,6 +484,34 @@ if (aom_config("CONFIG_AV1_ENCODER") eq "yes"){ add_proto qw/void aom_highbd_fdct8x8/, "const int16_t *input, tran_low_t *output, int stride"; specialize qw/aom_highbd_fdct8x8 sse2/; + # FFT/IFFT (float) only used for denoising (and noise power spectral density estimation) + add_proto qw/void aom_fft2x2_float/, "const float *input, float *temp, float *output"; + + add_proto qw/void aom_fft4x4_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_fft4x4_float sse2/; + + add_proto qw/void aom_fft8x8_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_fft8x8_float avx2 sse2/; + + add_proto qw/void aom_fft16x16_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_fft16x16_float avx2 sse2/; + + add_proto qw/void aom_fft32x32_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_fft32x32_float avx2 sse2/; + + add_proto qw/void aom_ifft2x2_float/, "const float *input, float *temp, float *output"; + + add_proto qw/void aom_ifft4x4_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_ifft4x4_float sse2/; + + add_proto qw/void aom_ifft8x8_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_ifft8x8_float avx2 sse2/; + + add_proto qw/void aom_ifft16x16_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_ifft16x16_float avx2 sse2/; + + add_proto qw/void aom_ifft32x32_float/, "const float *input, float *temp, float *output"; + specialize qw/aom_ifft32x32_float avx2 sse2/; } # CONFIG_AV1_ENCODER # diff --git a/aom_dsp/fft.c b/aom_dsp/fft.c new file mode 100644 index 000000000..0ba71cfb3 --- /dev/null +++ b/aom_dsp/fft.c @@ -0,0 +1,219 @@ +/* + * 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 "aom_dsp/aom_dsp_common.h" +#include "aom_dsp/fft_common.h" + +static INLINE void simple_transpose(const float *A, float *B, int n) { + for (int y = 0; y < n; y++) { + for (int x = 0; x < n; x++) { + B[y * n + x] = A[x * n + y]; + } + } +} + +// The 1d transform is real to complex and packs the complex results in +// a way to take advantage of conjugate symmetry (e.g., the n/2 + 1 real +// components, followed by the n/2 - 1 imaginary components). After the +// transform is done on the rows, the first n/2 + 1 columns are real, and +// the remaining are the imaginary components. After the transform on the +// columns, the region of [0, n/2]x[0, n/2] contains the real part of +// fft of the real columns. The real part of the 2d fft also includes the +// imaginary part of transformed imaginary columns. This function assembles +// the correct outputs while putting the real and imaginary components +// next to each other. +static INLINE void unpack_2d_output(const float *col_fft, float *output, + int n) { + for (int y = 0; y <= n / 2; ++y) { + const int y2 = y + n / 2; + const int y_extra = y2 > n / 2 && y2 < n; + + for (int x = 0; x <= n / 2; ++x) { + const int x2 = x + n / 2; + const int x_extra = x2 > n / 2 && x2 < n; + output[2 * (y * n + x)] = + col_fft[y * n + x] - (x_extra && y_extra ? col_fft[y2 * n + x2] : 0); + output[2 * (y * n + x) + 1] = (y_extra ? col_fft[y2 * n + x] : 0) + + (x_extra ? col_fft[y * n + x2] : 0); + if (y_extra) { + output[2 * ((n - y) * n + x)] = + col_fft[y * n + x] + + (x_extra && y_extra ? col_fft[y2 * n + x2] : 0); + output[2 * ((n - y) * n + x) + 1] = + -(y_extra ? col_fft[y2 * n + x] : 0) + + (x_extra ? col_fft[y * n + x2] : 0); + } + } + } +} + +void aom_fft_2d_gen(const float *input, float *temp, float *output, int n, + aom_fft_1d_func_t tform, aom_fft_transpose_func_t transpose, + aom_fft_unpack_func_t unpack, int vec_size) { + for (int x = 0; x < n; x += vec_size) { + tform(input + x, output + x, n); + } + transpose(output, temp, n); + + for (int x = 0; x < n; x += vec_size) { + tform(temp + x, output + x, n); + } + transpose(output, temp, n); + + unpack(temp, output, n); +} + +static INLINE void store_float(float *output, float input) { *output = input; } +static INLINE float add_float(float a, float b) { return a + b; } +static INLINE float sub_float(float a, float b) { return a - b; } +static INLINE float mul_float(float a, float b) { return a * b; } + +GEN_FFT_2(void, float, float, float, *, store_float); +GEN_FFT_4(void, float, float, float, *, store_float, (float), add_float, + sub_float); +GEN_FFT_8(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); +GEN_FFT_16(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); +GEN_FFT_32(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); + +void aom_fft2x2_float_c(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 2, aom_fft1d_2_float, simple_transpose, + unpack_2d_output, 1); +} + +void aom_fft4x4_float_c(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 4, aom_fft1d_4_float, simple_transpose, + unpack_2d_output, 1); +} + +void aom_fft8x8_float_c(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 8, aom_fft1d_8_float, simple_transpose, + unpack_2d_output, 1); +} + +void aom_fft16x16_float_c(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 16, aom_fft1d_16_float, simple_transpose, + unpack_2d_output, 1); +} + +void aom_fft32x32_float_c(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 32, aom_fft1d_32_float, simple_transpose, + unpack_2d_output, 1); +} + +void aom_ifft_2d_gen(const float *input, float *temp, float *output, int n, + aom_fft_1d_func_t fft_single, aom_fft_1d_func_t fft_multi, + aom_fft_1d_func_t ifft_multi, + aom_fft_transpose_func_t transpose, int vec_size) { + // Column 0 and n/2 have conjugate symmetry, so we can directly do the ifft + // and get real outputs. + for (int y = 0; y <= n / 2; ++y) { + output[y * n] = input[2 * y * n]; + output[y * n + 1] = input[2 * (y * n + n / 2)]; + } + for (int y = n / 2 + 1; y < n; ++y) { + output[y * n] = input[2 * (y - n / 2) * n + 1]; + output[y * n + 1] = input[2 * ((y - n / 2) * n + n / 2) + 1]; + } + + for (int i = 0; i < 2; i += vec_size) { + ifft_multi(output + i, temp + i, n); + } + + // For the other columns, since we don't have a full ifft for complex inputs + // we have to split them into the real and imaginary counterparts. + // Pack the real component, then the imaginary components. + for (int y = 0; y < n; ++y) { + for (int x = 1; x < n / 2; ++x) { + output[y * n + (x + 1)] = input[2 * (y * n + x)]; + } + for (int x = 1; x < n / 2; ++x) { + output[y * n + (x + n / 2)] = input[2 * (y * n + x) + 1]; + } + } + for (int y = 2; y < vec_size; y++) { + fft_single(output + y, temp + y, n); + } + // This is the part that can be sped up with SIMD + for (int y = AOMMAX(2, vec_size); y < n; y += vec_size) { + fft_multi(output + y, temp + y, n); + } + + // Put the 0 and n/2 th results in the correct place. + for (int x = 0; x < n; ++x) { + output[x] = temp[x * n]; + output[(n / 2) * n + x] = temp[x * n + 1]; + } + // This rearranges and transposes. + for (int y = 1; y < n / 2; ++y) { + // Fill in the real columns + for (int x = 0; x <= n / 2; ++x) { + output[x + y * n] = + temp[(y + 1) + x * n] + + ((x > 0 && x < n / 2) ? temp[(y + n / 2) + (x + n / 2) * n] : 0); + } + for (int x = n / 2 + 1; x < n; ++x) { + output[x + y * n] = temp[(y + 1) + (n - x) * n] - + temp[(y + n / 2) + ((n - x) + n / 2) * n]; + } + // Fill in the imag columns + for (int x = 0; x <= n / 2; ++x) { + output[x + (y + n / 2) * n] = + temp[(y + n / 2) + x * n] - + ((x > 0 && x < n / 2) ? temp[(y + 1) + (x + n / 2) * n] : 0); + } + for (int x = n / 2 + 1; x < n; ++x) { + output[x + (y + n / 2) * n] = temp[(y + 1) + ((n - x) + n / 2) * n] + + temp[(y + n / 2) + (n - x) * n]; + } + } + for (int y = 0; y < n; y += vec_size) { + ifft_multi(output + y, temp + y, n); + } + transpose(temp, output, n); +} + +GEN_IFFT_2(void, float, float, float, *, store_float); +GEN_IFFT_4(void, float, float, float, *, store_float, (float), add_float, + sub_float); +GEN_IFFT_8(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); +GEN_IFFT_16(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); +GEN_IFFT_32(void, float, float, float, *, store_float, (float), add_float, + sub_float, mul_float); + +void aom_ifft2x2_float_c(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 2, aom_fft1d_2_float, aom_fft1d_2_float, + aom_ifft1d_2_float, simple_transpose, 1); +} + +void aom_ifft4x4_float_c(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 4, aom_fft1d_4_float, aom_fft1d_4_float, + aom_ifft1d_4_float, simple_transpose, 1); +} + +void aom_ifft8x8_float_c(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 8, aom_fft1d_8_float, aom_fft1d_8_float, + aom_ifft1d_8_float, simple_transpose, 1); +} + +void aom_ifft16x16_float_c(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 16, aom_fft1d_16_float, + aom_fft1d_16_float, aom_ifft1d_16_float, simple_transpose, 1); +} + +void aom_ifft32x32_float_c(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 32, aom_fft1d_32_float, + aom_fft1d_32_float, aom_ifft1d_32_float, simple_transpose, 1); +} diff --git a/aom_dsp/fft_common.h b/aom_dsp/fft_common.h new file mode 100644 index 000000000..2f3cd5fdc --- /dev/null +++ b/aom_dsp/fft_common.h @@ -0,0 +1,1050 @@ +/* + * 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. + */ + +#ifndef AOM_DSP_FFT_COMMON_H_ +#define AOM_DSP_FFT_COMMON_H_ + +#ifdef __cplusplus +extern "C" { +#endif + +/*!\brief A function pointer for computing 1d fft and ifft. + * + * The function will point to an implementation for a specific transform size, + * and may perform the transforms using vectorized instructions. + * + * For a non-vectorized forward transforms of size n, the input and output + * buffers will be size n. The output takes advantage of conjugate symmetry and + * packs the results as: [r_0, r_1, ..., r_{n/2}, i_1, ..., i_{n/2-1}], where + * (r_{j}, i_{j}) is the complex output for index j. + * + * An inverse transform will assume that the complex "input" is packed + * similarly. Its output will be real. + * + * Non-vectorized transforms (e.g., on a single row) would use a stride = 1. + * + * Vectorized implementations are parallelized along the columns so that the fft + * can be performed on multiple columns at a time. In such cases the data block + * for input and output is typically square (n x n) and the stride will + * correspond to the spacing between rows. At minimum, the input size must be + * n x simd_vector_length. + * + * \param[in] input Input buffer. See above for size restrictions. + * \param[out] output Output buffer. See above for size restrictions. + * \param[in] stride The spacing in number of elements between rows + * (or elements) + */ +typedef void (*aom_fft_1d_func_t)(const float *input, float *output, + int stride); + +// Declare some of the forward non-vectorized transforms which are used in some +// of the vectorized implementations +void aom_fft1d_4_float(const float *input, float *output, int stride); +void aom_fft1d_8_float(const float *input, float *output, int stride); +void aom_fft1d_16_float(const float *input, float *output, int stride); +void aom_fft1d_32_float(const float *input, float *output, int stride); + +/**\!brief Function pointer for transposing a matrix of floats. + * + * \param[in] input Input buffer (size n x n) + * \param[out] output Output buffer (size n x n) + * \param[in] n Extent of one dimension of the square matrix. + */ +typedef void (*aom_fft_transpose_func_t)(const float *input, float *output, + int n); + +/**\!brief Function pointer for re-arranging intermediate 2d transform results. + * + * After re-arrangement, the real and imaginary components will be packed + * tightly next to each other. + * + * \param[in] input Input buffer (size n x n) + * \param[out] output Output buffer (size 2 x n x n) + * \param[in] n Extent of one dimension of the square matrix. + */ +typedef void (*aom_fft_unpack_func_t)(const float *input, float *output, int n); + +/*!\brief Performs a 2d fft with the given functions. + * + * This generator function allows for multiple different implementations of 2d + * fft with different vector operations, without having to redefine the main + * body multiple times. + * + * \param[in] input Input buffer to run the transform on (size n x n) + * \param[out] temp Working buffer for computing the transform (size n x n) + * \param[out] output Output buffer (size 2 x n x n) + * \param[in] tform Forward transform function + * \param[in] transpose Transpose function (for n x n matrix) + * \param[in] unpack Unpack function used to massage outputs to correct form + * \param[in] vec_size Vector size (the transform is done vec_size units at + * a time) + */ +void aom_fft_2d_gen(const float *input, float *temp, float *output, int n, + aom_fft_1d_func_t tform, aom_fft_transpose_func_t transpose, + aom_fft_unpack_func_t unpack, int vec_size); + +/*!\brief Perform a 2d inverse fft with the given helper functions + * + * \param[in] input Input buffer to run the transform on (size 2 x n x n) + * \param[out] temp Working buffer for computations (size 2 x n x n) + * \param[out] output Output buffer (size n x n) + * \param[in] fft_single Forward transform function (non vectorized) + * \param[in] fft_multi Forward transform function (vectorized) + * \param[in] ifft_multi Inverse transform function (vectorized) + * \param[in] transpose Transpose function (for n x n matrix) + * \param[in] vec_size Vector size (the transform is done vec_size + * units at a time) + */ +void aom_ifft_2d_gen(const float *input, float *temp, float *output, int n, + aom_fft_1d_func_t fft_single, aom_fft_1d_func_t fft_multi, + aom_fft_1d_func_t ifft_multi, + aom_fft_transpose_func_t transpose, int vec_size); +#ifdef __cplusplus +} +#endif + +// The macros below define 1D fft/ifft for different data types and for +// different simd vector intrinsic types. + +#define GEN_FFT_2(ret, suffix, T, T_VEC, load, store) \ + ret aom_fft1d_2_##suffix(const T *input, T *output, int stride) { \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + store(output + 0 * stride, i0 + i1); \ + store(output + 1 * stride, i0 - i1); \ + } + +#define GEN_FFT_4(ret, suffix, T, T_VEC, load, store, constant, add, sub) \ + ret aom_fft1d_4_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC w0 = add(i0, i2); \ + const T_VEC w1 = sub(i0, i2); \ + const T_VEC w2 = add(i1, i3); \ + const T_VEC w3 = sub(i1, i3); \ + store(output + 0 * stride, add(w0, w2)); \ + store(output + 1 * stride, w1); \ + store(output + 2 * stride, sub(w0, w2)); \ + store(output + 3 * stride, sub(kWeight0, w3)); \ + } + +#define GEN_FFT_8(ret, suffix, T, T_VEC, load, store, constant, add, sub, mul) \ + ret aom_fft1d_8_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC w0 = add(i0, i4); \ + const T_VEC w1 = sub(i0, i4); \ + const T_VEC w2 = add(i2, i6); \ + const T_VEC w3 = sub(i2, i6); \ + const T_VEC w4 = add(w0, w2); \ + const T_VEC w5 = sub(w0, w2); \ + const T_VEC w7 = add(i1, i5); \ + const T_VEC w8 = sub(i1, i5); \ + const T_VEC w9 = add(i3, i7); \ + const T_VEC w10 = sub(i3, i7); \ + const T_VEC w11 = add(w7, w9); \ + const T_VEC w12 = sub(w7, w9); \ + store(output + 0 * stride, add(w4, w11)); \ + store(output + 1 * stride, add(w1, mul(kWeight2, sub(w8, w10)))); \ + store(output + 2 * stride, w5); \ + store(output + 3 * stride, sub(w1, mul(kWeight2, sub(w8, w10)))); \ + store(output + 4 * stride, sub(w4, w11)); \ + store(output + 5 * stride, \ + sub(sub(kWeight0, w3), mul(kWeight2, add(w10, w8)))); \ + store(output + 6 * stride, sub(kWeight0, w12)); \ + store(output + 7 * stride, sub(w3, mul(kWeight2, add(w10, w8)))); \ + } + +#define GEN_FFT_16(ret, suffix, T, T_VEC, load, store, constant, add, sub, \ + mul) \ + ret aom_fft1d_16_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC kWeight3 = constant(0.92388f); \ + const T_VEC kWeight4 = constant(0.382683f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC i8 = load(input + 8 * stride); \ + const T_VEC i9 = load(input + 9 * stride); \ + const T_VEC i10 = load(input + 10 * stride); \ + const T_VEC i11 = load(input + 11 * stride); \ + const T_VEC i12 = load(input + 12 * stride); \ + const T_VEC i13 = load(input + 13 * stride); \ + const T_VEC i14 = load(input + 14 * stride); \ + const T_VEC i15 = load(input + 15 * stride); \ + const T_VEC w0 = add(i0, i8); \ + const T_VEC w1 = sub(i0, i8); \ + const T_VEC w2 = add(i4, i12); \ + const T_VEC w3 = sub(i4, i12); \ + const T_VEC w4 = add(w0, w2); \ + const T_VEC w5 = sub(w0, w2); \ + const T_VEC w7 = add(i2, i10); \ + const T_VEC w8 = sub(i2, i10); \ + const T_VEC w9 = add(i6, i14); \ + const T_VEC w10 = sub(i6, i14); \ + const T_VEC w11 = add(w7, w9); \ + const T_VEC w12 = sub(w7, w9); \ + const T_VEC w14 = add(w4, w11); \ + const T_VEC w15 = sub(w4, w11); \ + const T_VEC w16[2] = { add(w1, mul(kWeight2, sub(w8, w10))), \ + sub(sub(kWeight0, w3), \ + mul(kWeight2, add(w10, w8))) }; \ + const T_VEC w18[2] = { sub(w1, mul(kWeight2, sub(w8, w10))), \ + sub(w3, mul(kWeight2, add(w10, w8))) }; \ + const T_VEC w19 = add(i1, i9); \ + const T_VEC w20 = sub(i1, i9); \ + const T_VEC w21 = add(i5, i13); \ + const T_VEC w22 = sub(i5, i13); \ + const T_VEC w23 = add(w19, w21); \ + const T_VEC w24 = sub(w19, w21); \ + const T_VEC w26 = add(i3, i11); \ + const T_VEC w27 = sub(i3, i11); \ + const T_VEC w28 = add(i7, i15); \ + const T_VEC w29 = sub(i7, i15); \ + const T_VEC w30 = add(w26, w28); \ + const T_VEC w31 = sub(w26, w28); \ + const T_VEC w33 = add(w23, w30); \ + const T_VEC w34 = sub(w23, w30); \ + const T_VEC w35[2] = { add(w20, mul(kWeight2, sub(w27, w29))), \ + sub(sub(kWeight0, w22), \ + mul(kWeight2, add(w29, w27))) }; \ + const T_VEC w37[2] = { sub(w20, mul(kWeight2, sub(w27, w29))), \ + sub(w22, mul(kWeight2, add(w29, w27))) }; \ + store(output + 0 * stride, add(w14, w33)); \ + store(output + 1 * stride, \ + add(w16[0], add(mul(kWeight3, w35[0]), mul(kWeight4, w35[1])))); \ + store(output + 2 * stride, add(w5, mul(kWeight2, sub(w24, w31)))); \ + store(output + 3 * stride, \ + add(w18[0], add(mul(kWeight4, w37[0]), mul(kWeight3, w37[1])))); \ + store(output + 4 * stride, w15); \ + store(output + 5 * stride, \ + add(w18[0], sub(sub(kWeight0, mul(kWeight4, w37[0])), \ + mul(kWeight3, w37[1])))); \ + store(output + 6 * stride, sub(w5, mul(kWeight2, sub(w24, w31)))); \ + store(output + 7 * stride, \ + add(w16[0], sub(sub(kWeight0, mul(kWeight3, w35[0])), \ + mul(kWeight4, w35[1])))); \ + store(output + 8 * stride, sub(w14, w33)); \ + store(output + 9 * stride, \ + add(w16[1], sub(mul(kWeight3, w35[1]), mul(kWeight4, w35[0])))); \ + store(output + 10 * stride, \ + sub(sub(kWeight0, w12), mul(kWeight2, add(w31, w24)))); \ + store(output + 11 * stride, \ + add(w18[1], sub(mul(kWeight4, w37[1]), mul(kWeight3, w37[0])))); \ + store(output + 12 * stride, sub(kWeight0, w34)); \ + store(output + 13 * stride, \ + sub(sub(kWeight0, w18[1]), \ + sub(mul(kWeight3, w37[0]), mul(kWeight4, w37[1])))); \ + store(output + 14 * stride, sub(w12, mul(kWeight2, add(w31, w24)))); \ + store(output + 15 * stride, \ + sub(sub(kWeight0, w16[1]), \ + sub(mul(kWeight4, w35[0]), mul(kWeight3, w35[1])))); \ + } + +#define GEN_FFT_32(ret, suffix, T, T_VEC, load, store, constant, add, sub, \ + mul) \ + ret aom_fft1d_32_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC kWeight3 = constant(0.92388f); \ + const T_VEC kWeight4 = constant(0.382683f); \ + const T_VEC kWeight5 = constant(0.980785f); \ + const T_VEC kWeight6 = constant(0.19509f); \ + const T_VEC kWeight7 = constant(0.83147f); \ + const T_VEC kWeight8 = constant(0.55557f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC i8 = load(input + 8 * stride); \ + const T_VEC i9 = load(input + 9 * stride); \ + const T_VEC i10 = load(input + 10 * stride); \ + const T_VEC i11 = load(input + 11 * stride); \ + const T_VEC i12 = load(input + 12 * stride); \ + const T_VEC i13 = load(input + 13 * stride); \ + const T_VEC i14 = load(input + 14 * stride); \ + const T_VEC i15 = load(input + 15 * stride); \ + const T_VEC i16 = load(input + 16 * stride); \ + const T_VEC i17 = load(input + 17 * stride); \ + const T_VEC i18 = load(input + 18 * stride); \ + const T_VEC i19 = load(input + 19 * stride); \ + const T_VEC i20 = load(input + 20 * stride); \ + const T_VEC i21 = load(input + 21 * stride); \ + const T_VEC i22 = load(input + 22 * stride); \ + const T_VEC i23 = load(input + 23 * stride); \ + const T_VEC i24 = load(input + 24 * stride); \ + const T_VEC i25 = load(input + 25 * stride); \ + const T_VEC i26 = load(input + 26 * stride); \ + const T_VEC i27 = load(input + 27 * stride); \ + const T_VEC i28 = load(input + 28 * stride); \ + const T_VEC i29 = load(input + 29 * stride); \ + const T_VEC i30 = load(input + 30 * stride); \ + const T_VEC i31 = load(input + 31 * stride); \ + const T_VEC w0 = add(i0, i16); \ + const T_VEC w1 = sub(i0, i16); \ + const T_VEC w2 = add(i8, i24); \ + const T_VEC w3 = sub(i8, i24); \ + const T_VEC w4 = add(w0, w2); \ + const T_VEC w5 = sub(w0, w2); \ + const T_VEC w7 = add(i4, i20); \ + const T_VEC w8 = sub(i4, i20); \ + const T_VEC w9 = add(i12, i28); \ + const T_VEC w10 = sub(i12, i28); \ + const T_VEC w11 = add(w7, w9); \ + const T_VEC w12 = sub(w7, w9); \ + const T_VEC w14 = add(w4, w11); \ + const T_VEC w15 = sub(w4, w11); \ + const T_VEC w16[2] = { add(w1, mul(kWeight2, sub(w8, w10))), \ + sub(sub(kWeight0, w3), \ + mul(kWeight2, add(w10, w8))) }; \ + const T_VEC w18[2] = { sub(w1, mul(kWeight2, sub(w8, w10))), \ + sub(w3, mul(kWeight2, add(w10, w8))) }; \ + const T_VEC w19 = add(i2, i18); \ + const T_VEC w20 = sub(i2, i18); \ + const T_VEC w21 = add(i10, i26); \ + const T_VEC w22 = sub(i10, i26); \ + const T_VEC w23 = add(w19, w21); \ + const T_VEC w24 = sub(w19, w21); \ + const T_VEC w26 = add(i6, i22); \ + const T_VEC w27 = sub(i6, i22); \ + const T_VEC w28 = add(i14, i30); \ + const T_VEC w29 = sub(i14, i30); \ + const T_VEC w30 = add(w26, w28); \ + const T_VEC w31 = sub(w26, w28); \ + const T_VEC w33 = add(w23, w30); \ + const T_VEC w34 = sub(w23, w30); \ + const T_VEC w35[2] = { add(w20, mul(kWeight2, sub(w27, w29))), \ + sub(sub(kWeight0, w22), \ + mul(kWeight2, add(w29, w27))) }; \ + const T_VEC w37[2] = { sub(w20, mul(kWeight2, sub(w27, w29))), \ + sub(w22, mul(kWeight2, add(w29, w27))) }; \ + const T_VEC w38 = add(w14, w33); \ + const T_VEC w39 = sub(w14, w33); \ + const T_VEC w40[2] = { \ + add(w16[0], add(mul(kWeight3, w35[0]), mul(kWeight4, w35[1]))), \ + add(w16[1], sub(mul(kWeight3, w35[1]), mul(kWeight4, w35[0]))) \ + }; \ + const T_VEC w41[2] = { add(w5, mul(kWeight2, sub(w24, w31))), \ + sub(sub(kWeight0, w12), \ + mul(kWeight2, add(w31, w24))) }; \ + const T_VEC w42[2] = { \ + add(w18[0], add(mul(kWeight4, w37[0]), mul(kWeight3, w37[1]))), \ + add(w18[1], sub(mul(kWeight4, w37[1]), mul(kWeight3, w37[0]))) \ + }; \ + const T_VEC w44[2] = { \ + add(w18[0], \ + sub(sub(kWeight0, mul(kWeight4, w37[0])), mul(kWeight3, w37[1]))), \ + sub(sub(kWeight0, w18[1]), \ + sub(mul(kWeight3, w37[0]), mul(kWeight4, w37[1]))) \ + }; \ + const T_VEC w45[2] = { sub(w5, mul(kWeight2, sub(w24, w31))), \ + sub(w12, mul(kWeight2, add(w31, w24))) }; \ + const T_VEC w46[2] = { \ + add(w16[0], \ + sub(sub(kWeight0, mul(kWeight3, w35[0])), mul(kWeight4, w35[1]))), \ + sub(sub(kWeight0, w16[1]), \ + sub(mul(kWeight4, w35[0]), mul(kWeight3, w35[1]))) \ + }; \ + const T_VEC w47 = add(i1, i17); \ + const T_VEC w48 = sub(i1, i17); \ + const T_VEC w49 = add(i9, i25); \ + const T_VEC w50 = sub(i9, i25); \ + const T_VEC w51 = add(w47, w49); \ + const T_VEC w52 = sub(w47, w49); \ + const T_VEC w54 = add(i5, i21); \ + const T_VEC w55 = sub(i5, i21); \ + const T_VEC w56 = add(i13, i29); \ + const T_VEC w57 = sub(i13, i29); \ + const T_VEC w58 = add(w54, w56); \ + const T_VEC w59 = sub(w54, w56); \ + const T_VEC w61 = add(w51, w58); \ + const T_VEC w62 = sub(w51, w58); \ + const T_VEC w63[2] = { add(w48, mul(kWeight2, sub(w55, w57))), \ + sub(sub(kWeight0, w50), \ + mul(kWeight2, add(w57, w55))) }; \ + const T_VEC w65[2] = { sub(w48, mul(kWeight2, sub(w55, w57))), \ + sub(w50, mul(kWeight2, add(w57, w55))) }; \ + const T_VEC w66 = add(i3, i19); \ + const T_VEC w67 = sub(i3, i19); \ + const T_VEC w68 = add(i11, i27); \ + const T_VEC w69 = sub(i11, i27); \ + const T_VEC w70 = add(w66, w68); \ + const T_VEC w71 = sub(w66, w68); \ + const T_VEC w73 = add(i7, i23); \ + const T_VEC w74 = sub(i7, i23); \ + const T_VEC w75 = add(i15, i31); \ + const T_VEC w76 = sub(i15, i31); \ + const T_VEC w77 = add(w73, w75); \ + const T_VEC w78 = sub(w73, w75); \ + const T_VEC w80 = add(w70, w77); \ + const T_VEC w81 = sub(w70, w77); \ + const T_VEC w82[2] = { add(w67, mul(kWeight2, sub(w74, w76))), \ + sub(sub(kWeight0, w69), \ + mul(kWeight2, add(w76, w74))) }; \ + const T_VEC w84[2] = { sub(w67, mul(kWeight2, sub(w74, w76))), \ + sub(w69, mul(kWeight2, add(w76, w74))) }; \ + const T_VEC w85 = add(w61, w80); \ + const T_VEC w86 = sub(w61, w80); \ + const T_VEC w87[2] = { \ + add(w63[0], add(mul(kWeight3, w82[0]), mul(kWeight4, w82[1]))), \ + add(w63[1], sub(mul(kWeight3, w82[1]), mul(kWeight4, w82[0]))) \ + }; \ + const T_VEC w88[2] = { add(w52, mul(kWeight2, sub(w71, w78))), \ + sub(sub(kWeight0, w59), \ + mul(kWeight2, add(w78, w71))) }; \ + const T_VEC w89[2] = { \ + add(w65[0], add(mul(kWeight4, w84[0]), mul(kWeight3, w84[1]))), \ + add(w65[1], sub(mul(kWeight4, w84[1]), mul(kWeight3, w84[0]))) \ + }; \ + const T_VEC w91[2] = { \ + add(w65[0], \ + sub(sub(kWeight0, mul(kWeight4, w84[0])), mul(kWeight3, w84[1]))), \ + sub(sub(kWeight0, w65[1]), \ + sub(mul(kWeight3, w84[0]), mul(kWeight4, w84[1]))) \ + }; \ + const T_VEC w92[2] = { sub(w52, mul(kWeight2, sub(w71, w78))), \ + sub(w59, mul(kWeight2, add(w78, w71))) }; \ + const T_VEC w93[2] = { \ + add(w63[0], \ + sub(sub(kWeight0, mul(kWeight3, w82[0])), mul(kWeight4, w82[1]))), \ + sub(sub(kWeight0, w63[1]), \ + sub(mul(kWeight4, w82[0]), mul(kWeight3, w82[1]))) \ + }; \ + store(output + 0 * stride, add(w38, w85)); \ + store(output + 1 * stride, \ + add(w40[0], add(mul(kWeight5, w87[0]), mul(kWeight6, w87[1])))); \ + store(output + 2 * stride, \ + add(w41[0], add(mul(kWeight3, w88[0]), mul(kWeight4, w88[1])))); \ + store(output + 3 * stride, \ + add(w42[0], add(mul(kWeight7, w89[0]), mul(kWeight8, w89[1])))); \ + store(output + 4 * stride, add(w15, mul(kWeight2, sub(w62, w81)))); \ + store(output + 5 * stride, \ + add(w44[0], add(mul(kWeight8, w91[0]), mul(kWeight7, w91[1])))); \ + store(output + 6 * stride, \ + add(w45[0], add(mul(kWeight4, w92[0]), mul(kWeight3, w92[1])))); \ + store(output + 7 * stride, \ + add(w46[0], add(mul(kWeight6, w93[0]), mul(kWeight5, w93[1])))); \ + store(output + 8 * stride, w39); \ + store(output + 9 * stride, \ + add(w46[0], sub(sub(kWeight0, mul(kWeight6, w93[0])), \ + mul(kWeight5, w93[1])))); \ + store(output + 10 * stride, \ + add(w45[0], sub(sub(kWeight0, mul(kWeight4, w92[0])), \ + mul(kWeight3, w92[1])))); \ + store(output + 11 * stride, \ + add(w44[0], sub(sub(kWeight0, mul(kWeight8, w91[0])), \ + mul(kWeight7, w91[1])))); \ + store(output + 12 * stride, sub(w15, mul(kWeight2, sub(w62, w81)))); \ + store(output + 13 * stride, \ + add(w42[0], sub(sub(kWeight0, mul(kWeight7, w89[0])), \ + mul(kWeight8, w89[1])))); \ + store(output + 14 * stride, \ + add(w41[0], sub(sub(kWeight0, mul(kWeight3, w88[0])), \ + mul(kWeight4, w88[1])))); \ + store(output + 15 * stride, \ + add(w40[0], sub(sub(kWeight0, mul(kWeight5, w87[0])), \ + mul(kWeight6, w87[1])))); \ + store(output + 16 * stride, sub(w38, w85)); \ + store(output + 17 * stride, \ + add(w40[1], sub(mul(kWeight5, w87[1]), mul(kWeight6, w87[0])))); \ + store(output + 18 * stride, \ + add(w41[1], sub(mul(kWeight3, w88[1]), mul(kWeight4, w88[0])))); \ + store(output + 19 * stride, \ + add(w42[1], sub(mul(kWeight7, w89[1]), mul(kWeight8, w89[0])))); \ + store(output + 20 * stride, \ + sub(sub(kWeight0, w34), mul(kWeight2, add(w81, w62)))); \ + store(output + 21 * stride, \ + add(w44[1], sub(mul(kWeight8, w91[1]), mul(kWeight7, w91[0])))); \ + store(output + 22 * stride, \ + add(w45[1], sub(mul(kWeight4, w92[1]), mul(kWeight3, w92[0])))); \ + store(output + 23 * stride, \ + add(w46[1], sub(mul(kWeight6, w93[1]), mul(kWeight5, w93[0])))); \ + store(output + 24 * stride, sub(kWeight0, w86)); \ + store(output + 25 * stride, \ + sub(sub(kWeight0, w46[1]), \ + sub(mul(kWeight5, w93[0]), mul(kWeight6, w93[1])))); \ + store(output + 26 * stride, \ + sub(sub(kWeight0, w45[1]), \ + sub(mul(kWeight3, w92[0]), mul(kWeight4, w92[1])))); \ + store(output + 27 * stride, \ + sub(sub(kWeight0, w44[1]), \ + sub(mul(kWeight7, w91[0]), mul(kWeight8, w91[1])))); \ + store(output + 28 * stride, sub(w34, mul(kWeight2, add(w81, w62)))); \ + store(output + 29 * stride, \ + sub(sub(kWeight0, w42[1]), \ + sub(mul(kWeight8, w89[0]), mul(kWeight7, w89[1])))); \ + store(output + 30 * stride, \ + sub(sub(kWeight0, w41[1]), \ + sub(mul(kWeight4, w88[0]), mul(kWeight3, w88[1])))); \ + store(output + 31 * stride, \ + sub(sub(kWeight0, w40[1]), \ + sub(mul(kWeight6, w87[0]), mul(kWeight5, w87[1])))); \ + } + +#define GEN_IFFT_2(ret, suffix, T, T_VEC, load, store) \ + ret aom_ifft1d_2_##suffix(const T *input, T *output, int stride) { \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + store(output + 0 * stride, i0 + i1); \ + store(output + 1 * stride, i0 - i1); \ + } + +#define GEN_IFFT_4(ret, suffix, T, T_VEC, load, store, constant, add, sub) \ + ret aom_ifft1d_4_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC w2 = add(i0, i2); \ + const T_VEC w3 = sub(i0, i2); \ + const T_VEC w4[2] = { add(i1, i1), sub(i3, i3) }; \ + const T_VEC w5[2] = { sub(i1, i1), sub(sub(kWeight0, i3), i3) }; \ + store(output + 0 * stride, add(w2, w4[0])); \ + store(output + 1 * stride, add(w3, w5[1])); \ + store(output + 2 * stride, sub(w2, w4[0])); \ + store(output + 3 * stride, sub(w3, w5[1])); \ + } + +#define GEN_IFFT_8(ret, suffix, T, T_VEC, load, store, constant, add, sub, \ + mul) \ + ret aom_ifft1d_8_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC w6 = add(i0, i4); \ + const T_VEC w7 = sub(i0, i4); \ + const T_VEC w8[2] = { add(i2, i2), sub(i6, i6) }; \ + const T_VEC w9[2] = { sub(i2, i2), sub(sub(kWeight0, i6), i6) }; \ + const T_VEC w10[2] = { add(w6, w8[0]), w8[1] }; \ + const T_VEC w11[2] = { sub(w6, w8[0]), sub(kWeight0, w8[1]) }; \ + const T_VEC w12[2] = { add(w7, w9[1]), sub(kWeight0, w9[0]) }; \ + const T_VEC w13[2] = { sub(w7, w9[1]), w9[0] }; \ + const T_VEC w14[2] = { add(i1, i3), sub(i7, i5) }; \ + const T_VEC w15[2] = { sub(i1, i3), sub(sub(kWeight0, i5), i7) }; \ + const T_VEC w16[2] = { add(i3, i1), sub(i5, i7) }; \ + const T_VEC w17[2] = { sub(i3, i1), sub(sub(kWeight0, i7), i5) }; \ + const T_VEC w18[2] = { add(w14[0], w16[0]), add(w14[1], w16[1]) }; \ + const T_VEC w19[2] = { sub(w14[0], w16[0]), sub(w14[1], w16[1]) }; \ + const T_VEC w20[2] = { add(w15[0], w17[1]), sub(w15[1], w17[0]) }; \ + const T_VEC w21[2] = { sub(w15[0], w17[1]), add(w15[1], w17[0]) }; \ + store(output + 0 * stride, add(w10[0], w18[0])); \ + store(output + 1 * stride, \ + add(w12[0], mul(kWeight2, add(w20[0], w20[1])))); \ + store(output + 2 * stride, add(w11[0], w19[1])); \ + store(output + 3 * stride, \ + sub(w13[0], mul(kWeight2, sub(w21[0], w21[1])))); \ + store(output + 4 * stride, sub(w10[0], w18[0])); \ + store(output + 5 * stride, \ + add(w12[0], sub(sub(kWeight0, mul(kWeight2, w20[0])), \ + mul(kWeight2, w20[1])))); \ + store(output + 6 * stride, sub(w11[0], w19[1])); \ + store(output + 7 * stride, \ + add(w13[0], mul(kWeight2, sub(w21[0], w21[1])))); \ + } + +#define GEN_IFFT_16(ret, suffix, T, T_VEC, load, store, constant, add, sub, \ + mul) \ + ret aom_ifft1d_16_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC kWeight3 = constant(0.92388f); \ + const T_VEC kWeight4 = constant(0.382683f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC i8 = load(input + 8 * stride); \ + const T_VEC i9 = load(input + 9 * stride); \ + const T_VEC i10 = load(input + 10 * stride); \ + const T_VEC i11 = load(input + 11 * stride); \ + const T_VEC i12 = load(input + 12 * stride); \ + const T_VEC i13 = load(input + 13 * stride); \ + const T_VEC i14 = load(input + 14 * stride); \ + const T_VEC i15 = load(input + 15 * stride); \ + const T_VEC w14 = add(i0, i8); \ + const T_VEC w15 = sub(i0, i8); \ + const T_VEC w16[2] = { add(i4, i4), sub(i12, i12) }; \ + const T_VEC w17[2] = { sub(i4, i4), sub(sub(kWeight0, i12), i12) }; \ + const T_VEC w18[2] = { add(w14, w16[0]), w16[1] }; \ + const T_VEC w19[2] = { sub(w14, w16[0]), sub(kWeight0, w16[1]) }; \ + const T_VEC w20[2] = { add(w15, w17[1]), sub(kWeight0, w17[0]) }; \ + const T_VEC w21[2] = { sub(w15, w17[1]), w17[0] }; \ + const T_VEC w22[2] = { add(i2, i6), sub(i14, i10) }; \ + const T_VEC w23[2] = { sub(i2, i6), sub(sub(kWeight0, i10), i14) }; \ + const T_VEC w24[2] = { add(i6, i2), sub(i10, i14) }; \ + const T_VEC w25[2] = { sub(i6, i2), sub(sub(kWeight0, i14), i10) }; \ + const T_VEC w26[2] = { add(w22[0], w24[0]), add(w22[1], w24[1]) }; \ + const T_VEC w27[2] = { sub(w22[0], w24[0]), sub(w22[1], w24[1]) }; \ + const T_VEC w28[2] = { add(w23[0], w25[1]), sub(w23[1], w25[0]) }; \ + const T_VEC w29[2] = { sub(w23[0], w25[1]), add(w23[1], w25[0]) }; \ + const T_VEC w30[2] = { add(w18[0], w26[0]), add(w18[1], w26[1]) }; \ + const T_VEC w31[2] = { sub(w18[0], w26[0]), sub(w18[1], w26[1]) }; \ + const T_VEC w32[2] = { add(w20[0], mul(kWeight2, add(w28[0], w28[1]))), \ + add(w20[1], mul(kWeight2, sub(w28[1], w28[0]))) }; \ + const T_VEC w33[2] = { add(w20[0], \ + sub(sub(kWeight0, mul(kWeight2, w28[0])), \ + mul(kWeight2, w28[1]))), \ + add(w20[1], mul(kWeight2, sub(w28[0], w28[1]))) }; \ + const T_VEC w34[2] = { add(w19[0], w27[1]), sub(w19[1], w27[0]) }; \ + const T_VEC w35[2] = { sub(w19[0], w27[1]), add(w19[1], w27[0]) }; \ + const T_VEC w36[2] = { sub(w21[0], mul(kWeight2, sub(w29[0], w29[1]))), \ + sub(w21[1], mul(kWeight2, add(w29[1], w29[0]))) }; \ + const T_VEC w37[2] = { add(w21[0], mul(kWeight2, sub(w29[0], w29[1]))), \ + add(w21[1], mul(kWeight2, add(w29[1], w29[0]))) }; \ + const T_VEC w38[2] = { add(i1, i7), sub(i15, i9) }; \ + const T_VEC w39[2] = { sub(i1, i7), sub(sub(kWeight0, i9), i15) }; \ + const T_VEC w40[2] = { add(i5, i3), sub(i11, i13) }; \ + const T_VEC w41[2] = { sub(i5, i3), sub(sub(kWeight0, i13), i11) }; \ + const T_VEC w42[2] = { add(w38[0], w40[0]), add(w38[1], w40[1]) }; \ + const T_VEC w43[2] = { sub(w38[0], w40[0]), sub(w38[1], w40[1]) }; \ + const T_VEC w44[2] = { add(w39[0], w41[1]), sub(w39[1], w41[0]) }; \ + const T_VEC w45[2] = { sub(w39[0], w41[1]), add(w39[1], w41[0]) }; \ + const T_VEC w46[2] = { add(i3, i5), sub(i13, i11) }; \ + const T_VEC w47[2] = { sub(i3, i5), sub(sub(kWeight0, i11), i13) }; \ + const T_VEC w48[2] = { add(i7, i1), sub(i9, i15) }; \ + const T_VEC w49[2] = { sub(i7, i1), sub(sub(kWeight0, i15), i9) }; \ + const T_VEC w50[2] = { add(w46[0], w48[0]), add(w46[1], w48[1]) }; \ + const T_VEC w51[2] = { sub(w46[0], w48[0]), sub(w46[1], w48[1]) }; \ + const T_VEC w52[2] = { add(w47[0], w49[1]), sub(w47[1], w49[0]) }; \ + const T_VEC w53[2] = { sub(w47[0], w49[1]), add(w47[1], w49[0]) }; \ + const T_VEC w54[2] = { add(w42[0], w50[0]), add(w42[1], w50[1]) }; \ + const T_VEC w55[2] = { sub(w42[0], w50[0]), sub(w42[1], w50[1]) }; \ + const T_VEC w56[2] = { add(w44[0], mul(kWeight2, add(w52[0], w52[1]))), \ + add(w44[1], mul(kWeight2, sub(w52[1], w52[0]))) }; \ + const T_VEC w57[2] = { add(w44[0], \ + sub(sub(kWeight0, mul(kWeight2, w52[0])), \ + mul(kWeight2, w52[1]))), \ + add(w44[1], mul(kWeight2, sub(w52[0], w52[1]))) }; \ + const T_VEC w58[2] = { add(w43[0], w51[1]), sub(w43[1], w51[0]) }; \ + const T_VEC w59[2] = { sub(w43[0], w51[1]), add(w43[1], w51[0]) }; \ + const T_VEC w60[2] = { sub(w45[0], mul(kWeight2, sub(w53[0], w53[1]))), \ + sub(w45[1], mul(kWeight2, add(w53[1], w53[0]))) }; \ + const T_VEC w61[2] = { add(w45[0], mul(kWeight2, sub(w53[0], w53[1]))), \ + add(w45[1], mul(kWeight2, add(w53[1], w53[0]))) }; \ + store(output + 0 * stride, add(w30[0], w54[0])); \ + store(output + 1 * stride, \ + add(w32[0], add(mul(kWeight3, w56[0]), mul(kWeight4, w56[1])))); \ + store(output + 2 * stride, \ + add(w34[0], mul(kWeight2, add(w58[0], w58[1])))); \ + store(output + 3 * stride, \ + add(w36[0], add(mul(kWeight4, w60[0]), mul(kWeight3, w60[1])))); \ + store(output + 4 * stride, add(w31[0], w55[1])); \ + store(output + 5 * stride, \ + sub(w33[0], sub(mul(kWeight4, w57[0]), mul(kWeight3, w57[1])))); \ + store(output + 6 * stride, \ + sub(w35[0], mul(kWeight2, sub(w59[0], w59[1])))); \ + store(output + 7 * stride, \ + sub(w37[0], sub(mul(kWeight3, w61[0]), mul(kWeight4, w61[1])))); \ + store(output + 8 * stride, sub(w30[0], w54[0])); \ + store(output + 9 * stride, \ + add(w32[0], sub(sub(kWeight0, mul(kWeight3, w56[0])), \ + mul(kWeight4, w56[1])))); \ + store(output + 10 * stride, \ + add(w34[0], sub(sub(kWeight0, mul(kWeight2, w58[0])), \ + mul(kWeight2, w58[1])))); \ + store(output + 11 * stride, \ + add(w36[0], sub(sub(kWeight0, mul(kWeight4, w60[0])), \ + mul(kWeight3, w60[1])))); \ + store(output + 12 * stride, sub(w31[0], w55[1])); \ + store(output + 13 * stride, \ + add(w33[0], sub(mul(kWeight4, w57[0]), mul(kWeight3, w57[1])))); \ + store(output + 14 * stride, \ + add(w35[0], mul(kWeight2, sub(w59[0], w59[1])))); \ + store(output + 15 * stride, \ + add(w37[0], sub(mul(kWeight3, w61[0]), mul(kWeight4, w61[1])))); \ + } +#define GEN_IFFT_32(ret, suffix, T, T_VEC, load, store, constant, add, sub, \ + mul) \ + ret aom_ifft1d_32_##suffix(const T *input, T *output, int stride) { \ + const T_VEC kWeight0 = constant(0.0f); \ + const T_VEC kWeight2 = constant(0.707107f); \ + const T_VEC kWeight3 = constant(0.92388f); \ + const T_VEC kWeight4 = constant(0.382683f); \ + const T_VEC kWeight5 = constant(0.980785f); \ + const T_VEC kWeight6 = constant(0.19509f); \ + const T_VEC kWeight7 = constant(0.83147f); \ + const T_VEC kWeight8 = constant(0.55557f); \ + const T_VEC i0 = load(input + 0 * stride); \ + const T_VEC i1 = load(input + 1 * stride); \ + const T_VEC i2 = load(input + 2 * stride); \ + const T_VEC i3 = load(input + 3 * stride); \ + const T_VEC i4 = load(input + 4 * stride); \ + const T_VEC i5 = load(input + 5 * stride); \ + const T_VEC i6 = load(input + 6 * stride); \ + const T_VEC i7 = load(input + 7 * stride); \ + const T_VEC i8 = load(input + 8 * stride); \ + const T_VEC i9 = load(input + 9 * stride); \ + const T_VEC i10 = load(input + 10 * stride); \ + const T_VEC i11 = load(input + 11 * stride); \ + const T_VEC i12 = load(input + 12 * stride); \ + const T_VEC i13 = load(input + 13 * stride); \ + const T_VEC i14 = load(input + 14 * stride); \ + const T_VEC i15 = load(input + 15 * stride); \ + const T_VEC i16 = load(input + 16 * stride); \ + const T_VEC i17 = load(input + 17 * stride); \ + const T_VEC i18 = load(input + 18 * stride); \ + const T_VEC i19 = load(input + 19 * stride); \ + const T_VEC i20 = load(input + 20 * stride); \ + const T_VEC i21 = load(input + 21 * stride); \ + const T_VEC i22 = load(input + 22 * stride); \ + const T_VEC i23 = load(input + 23 * stride); \ + const T_VEC i24 = load(input + 24 * stride); \ + const T_VEC i25 = load(input + 25 * stride); \ + const T_VEC i26 = load(input + 26 * stride); \ + const T_VEC i27 = load(input + 27 * stride); \ + const T_VEC i28 = load(input + 28 * stride); \ + const T_VEC i29 = load(input + 29 * stride); \ + const T_VEC i30 = load(input + 30 * stride); \ + const T_VEC i31 = load(input + 31 * stride); \ + const T_VEC w30 = add(i0, i16); \ + const T_VEC w31 = sub(i0, i16); \ + const T_VEC w32[2] = { add(i8, i8), sub(i24, i24) }; \ + const T_VEC w33[2] = { sub(i8, i8), sub(sub(kWeight0, i24), i24) }; \ + const T_VEC w34[2] = { add(w30, w32[0]), w32[1] }; \ + const T_VEC w35[2] = { sub(w30, w32[0]), sub(kWeight0, w32[1]) }; \ + const T_VEC w36[2] = { add(w31, w33[1]), sub(kWeight0, w33[0]) }; \ + const T_VEC w37[2] = { sub(w31, w33[1]), w33[0] }; \ + const T_VEC w38[2] = { add(i4, i12), sub(i28, i20) }; \ + const T_VEC w39[2] = { sub(i4, i12), sub(sub(kWeight0, i20), i28) }; \ + const T_VEC w40[2] = { add(i12, i4), sub(i20, i28) }; \ + const T_VEC w41[2] = { sub(i12, i4), sub(sub(kWeight0, i28), i20) }; \ + const T_VEC w42[2] = { add(w38[0], w40[0]), add(w38[1], w40[1]) }; \ + const T_VEC w43[2] = { sub(w38[0], w40[0]), sub(w38[1], w40[1]) }; \ + const T_VEC w44[2] = { add(w39[0], w41[1]), sub(w39[1], w41[0]) }; \ + const T_VEC w45[2] = { sub(w39[0], w41[1]), add(w39[1], w41[0]) }; \ + const T_VEC w46[2] = { add(w34[0], w42[0]), add(w34[1], w42[1]) }; \ + const T_VEC w47[2] = { sub(w34[0], w42[0]), sub(w34[1], w42[1]) }; \ + const T_VEC w48[2] = { add(w36[0], mul(kWeight2, add(w44[0], w44[1]))), \ + add(w36[1], mul(kWeight2, sub(w44[1], w44[0]))) }; \ + const T_VEC w49[2] = { add(w36[0], \ + sub(sub(kWeight0, mul(kWeight2, w44[0])), \ + mul(kWeight2, w44[1]))), \ + add(w36[1], mul(kWeight2, sub(w44[0], w44[1]))) }; \ + const T_VEC w50[2] = { add(w35[0], w43[1]), sub(w35[1], w43[0]) }; \ + const T_VEC w51[2] = { sub(w35[0], w43[1]), add(w35[1], w43[0]) }; \ + const T_VEC w52[2] = { sub(w37[0], mul(kWeight2, sub(w45[0], w45[1]))), \ + sub(w37[1], mul(kWeight2, add(w45[1], w45[0]))) }; \ + const T_VEC w53[2] = { add(w37[0], mul(kWeight2, sub(w45[0], w45[1]))), \ + add(w37[1], mul(kWeight2, add(w45[1], w45[0]))) }; \ + const T_VEC w54[2] = { add(i2, i14), sub(i30, i18) }; \ + const T_VEC w55[2] = { sub(i2, i14), sub(sub(kWeight0, i18), i30) }; \ + const T_VEC w56[2] = { add(i10, i6), sub(i22, i26) }; \ + const T_VEC w57[2] = { sub(i10, i6), sub(sub(kWeight0, i26), i22) }; \ + const T_VEC w58[2] = { add(w54[0], w56[0]), add(w54[1], w56[1]) }; \ + const T_VEC w59[2] = { sub(w54[0], w56[0]), sub(w54[1], w56[1]) }; \ + const T_VEC w60[2] = { add(w55[0], w57[1]), sub(w55[1], w57[0]) }; \ + const T_VEC w61[2] = { sub(w55[0], w57[1]), add(w55[1], w57[0]) }; \ + const T_VEC w62[2] = { add(i6, i10), sub(i26, i22) }; \ + const T_VEC w63[2] = { sub(i6, i10), sub(sub(kWeight0, i22), i26) }; \ + const T_VEC w64[2] = { add(i14, i2), sub(i18, i30) }; \ + const T_VEC w65[2] = { sub(i14, i2), sub(sub(kWeight0, i30), i18) }; \ + const T_VEC w66[2] = { add(w62[0], w64[0]), add(w62[1], w64[1]) }; \ + const T_VEC w67[2] = { sub(w62[0], w64[0]), sub(w62[1], w64[1]) }; \ + const T_VEC w68[2] = { add(w63[0], w65[1]), sub(w63[1], w65[0]) }; \ + const T_VEC w69[2] = { sub(w63[0], w65[1]), add(w63[1], w65[0]) }; \ + const T_VEC w70[2] = { add(w58[0], w66[0]), add(w58[1], w66[1]) }; \ + const T_VEC w71[2] = { sub(w58[0], w66[0]), sub(w58[1], w66[1]) }; \ + const T_VEC w72[2] = { add(w60[0], mul(kWeight2, add(w68[0], w68[1]))), \ + add(w60[1], mul(kWeight2, sub(w68[1], w68[0]))) }; \ + const T_VEC w73[2] = { add(w60[0], \ + sub(sub(kWeight0, mul(kWeight2, w68[0])), \ + mul(kWeight2, w68[1]))), \ + add(w60[1], mul(kWeight2, sub(w68[0], w68[1]))) }; \ + const T_VEC w74[2] = { add(w59[0], w67[1]), sub(w59[1], w67[0]) }; \ + const T_VEC w75[2] = { sub(w59[0], w67[1]), add(w59[1], w67[0]) }; \ + const T_VEC w76[2] = { sub(w61[0], mul(kWeight2, sub(w69[0], w69[1]))), \ + sub(w61[1], mul(kWeight2, add(w69[1], w69[0]))) }; \ + const T_VEC w77[2] = { add(w61[0], mul(kWeight2, sub(w69[0], w69[1]))), \ + add(w61[1], mul(kWeight2, add(w69[1], w69[0]))) }; \ + const T_VEC w78[2] = { add(w46[0], w70[0]), add(w46[1], w70[1]) }; \ + const T_VEC w79[2] = { sub(w46[0], w70[0]), sub(w46[1], w70[1]) }; \ + const T_VEC w80[2] = { \ + add(w48[0], add(mul(kWeight3, w72[0]), mul(kWeight4, w72[1]))), \ + add(w48[1], sub(mul(kWeight3, w72[1]), mul(kWeight4, w72[0]))) \ + }; \ + const T_VEC w81[2] = { \ + add(w48[0], \ + sub(sub(kWeight0, mul(kWeight3, w72[0])), mul(kWeight4, w72[1]))), \ + add(w48[1], sub(mul(kWeight4, w72[0]), mul(kWeight3, w72[1]))) \ + }; \ + const T_VEC w82[2] = { add(w50[0], mul(kWeight2, add(w74[0], w74[1]))), \ + add(w50[1], mul(kWeight2, sub(w74[1], w74[0]))) }; \ + const T_VEC w83[2] = { add(w50[0], \ + sub(sub(kWeight0, mul(kWeight2, w74[0])), \ + mul(kWeight2, w74[1]))), \ + add(w50[1], mul(kWeight2, sub(w74[0], w74[1]))) }; \ + const T_VEC w84[2] = { \ + add(w52[0], add(mul(kWeight4, w76[0]), mul(kWeight3, w76[1]))), \ + add(w52[1], sub(mul(kWeight4, w76[1]), mul(kWeight3, w76[0]))) \ + }; \ + const T_VEC w85[2] = { \ + add(w52[0], \ + sub(sub(kWeight0, mul(kWeight4, w76[0])), mul(kWeight3, w76[1]))), \ + add(w52[1], sub(mul(kWeight3, w76[0]), mul(kWeight4, w76[1]))) \ + }; \ + const T_VEC w86[2] = { add(w47[0], w71[1]), sub(w47[1], w71[0]) }; \ + const T_VEC w87[2] = { sub(w47[0], w71[1]), add(w47[1], w71[0]) }; \ + const T_VEC w88[2] = { \ + sub(w49[0], sub(mul(kWeight4, w73[0]), mul(kWeight3, w73[1]))), \ + add(w49[1], \ + sub(sub(kWeight0, mul(kWeight4, w73[1])), mul(kWeight3, w73[0]))) \ + }; \ + const T_VEC w89[2] = { \ + add(w49[0], sub(mul(kWeight4, w73[0]), mul(kWeight3, w73[1]))), \ + add(w49[1], add(mul(kWeight4, w73[1]), mul(kWeight3, w73[0]))) \ + }; \ + const T_VEC w90[2] = { sub(w51[0], mul(kWeight2, sub(w75[0], w75[1]))), \ + sub(w51[1], mul(kWeight2, add(w75[1], w75[0]))) }; \ + const T_VEC w91[2] = { add(w51[0], mul(kWeight2, sub(w75[0], w75[1]))), \ + add(w51[1], mul(kWeight2, add(w75[1], w75[0]))) }; \ + const T_VEC w92[2] = { \ + sub(w53[0], sub(mul(kWeight3, w77[0]), mul(kWeight4, w77[1]))), \ + add(w53[1], \ + sub(sub(kWeight0, mul(kWeight3, w77[1])), mul(kWeight4, w77[0]))) \ + }; \ + const T_VEC w93[2] = { \ + add(w53[0], sub(mul(kWeight3, w77[0]), mul(kWeight4, w77[1]))), \ + add(w53[1], add(mul(kWeight3, w77[1]), mul(kWeight4, w77[0]))) \ + }; \ + const T_VEC w94[2] = { add(i1, i15), sub(i31, i17) }; \ + const T_VEC w95[2] = { sub(i1, i15), sub(sub(kWeight0, i17), i31) }; \ + const T_VEC w96[2] = { add(i9, i7), sub(i23, i25) }; \ + const T_VEC w97[2] = { sub(i9, i7), sub(sub(kWeight0, i25), i23) }; \ + const T_VEC w98[2] = { add(w94[0], w96[0]), add(w94[1], w96[1]) }; \ + const T_VEC w99[2] = { sub(w94[0], w96[0]), sub(w94[1], w96[1]) }; \ + const T_VEC w100[2] = { add(w95[0], w97[1]), sub(w95[1], w97[0]) }; \ + const T_VEC w101[2] = { sub(w95[0], w97[1]), add(w95[1], w97[0]) }; \ + const T_VEC w102[2] = { add(i5, i11), sub(i27, i21) }; \ + const T_VEC w103[2] = { sub(i5, i11), sub(sub(kWeight0, i21), i27) }; \ + const T_VEC w104[2] = { add(i13, i3), sub(i19, i29) }; \ + const T_VEC w105[2] = { sub(i13, i3), sub(sub(kWeight0, i29), i19) }; \ + const T_VEC w106[2] = { add(w102[0], w104[0]), add(w102[1], w104[1]) }; \ + const T_VEC w107[2] = { sub(w102[0], w104[0]), sub(w102[1], w104[1]) }; \ + const T_VEC w108[2] = { add(w103[0], w105[1]), sub(w103[1], w105[0]) }; \ + const T_VEC w109[2] = { sub(w103[0], w105[1]), add(w103[1], w105[0]) }; \ + const T_VEC w110[2] = { add(w98[0], w106[0]), add(w98[1], w106[1]) }; \ + const T_VEC w111[2] = { sub(w98[0], w106[0]), sub(w98[1], w106[1]) }; \ + const T_VEC w112[2] = { \ + add(w100[0], mul(kWeight2, add(w108[0], w108[1]))), \ + add(w100[1], mul(kWeight2, sub(w108[1], w108[0]))) \ + }; \ + const T_VEC w113[2] = { \ + add(w100[0], \ + sub(sub(kWeight0, mul(kWeight2, w108[0])), mul(kWeight2, w108[1]))), \ + add(w100[1], mul(kWeight2, sub(w108[0], w108[1]))) \ + }; \ + const T_VEC w114[2] = { add(w99[0], w107[1]), sub(w99[1], w107[0]) }; \ + const T_VEC w115[2] = { sub(w99[0], w107[1]), add(w99[1], w107[0]) }; \ + const T_VEC w116[2] = { \ + sub(w101[0], mul(kWeight2, sub(w109[0], w109[1]))), \ + sub(w101[1], mul(kWeight2, add(w109[1], w109[0]))) \ + }; \ + const T_VEC w117[2] = { \ + add(w101[0], mul(kWeight2, sub(w109[0], w109[1]))), \ + add(w101[1], mul(kWeight2, add(w109[1], w109[0]))) \ + }; \ + const T_VEC w118[2] = { add(i3, i13), sub(i29, i19) }; \ + const T_VEC w119[2] = { sub(i3, i13), sub(sub(kWeight0, i19), i29) }; \ + const T_VEC w120[2] = { add(i11, i5), sub(i21, i27) }; \ + const T_VEC w121[2] = { sub(i11, i5), sub(sub(kWeight0, i27), i21) }; \ + const T_VEC w122[2] = { add(w118[0], w120[0]), add(w118[1], w120[1]) }; \ + const T_VEC w123[2] = { sub(w118[0], w120[0]), sub(w118[1], w120[1]) }; \ + const T_VEC w124[2] = { add(w119[0], w121[1]), sub(w119[1], w121[0]) }; \ + const T_VEC w125[2] = { sub(w119[0], w121[1]), add(w119[1], w121[0]) }; \ + const T_VEC w126[2] = { add(i7, i9), sub(i25, i23) }; \ + const T_VEC w127[2] = { sub(i7, i9), sub(sub(kWeight0, i23), i25) }; \ + const T_VEC w128[2] = { add(i15, i1), sub(i17, i31) }; \ + const T_VEC w129[2] = { sub(i15, i1), sub(sub(kWeight0, i31), i17) }; \ + const T_VEC w130[2] = { add(w126[0], w128[0]), add(w126[1], w128[1]) }; \ + const T_VEC w131[2] = { sub(w126[0], w128[0]), sub(w126[1], w128[1]) }; \ + const T_VEC w132[2] = { add(w127[0], w129[1]), sub(w127[1], w129[0]) }; \ + const T_VEC w133[2] = { sub(w127[0], w129[1]), add(w127[1], w129[0]) }; \ + const T_VEC w134[2] = { add(w122[0], w130[0]), add(w122[1], w130[1]) }; \ + const T_VEC w135[2] = { sub(w122[0], w130[0]), sub(w122[1], w130[1]) }; \ + const T_VEC w136[2] = { \ + add(w124[0], mul(kWeight2, add(w132[0], w132[1]))), \ + add(w124[1], mul(kWeight2, sub(w132[1], w132[0]))) \ + }; \ + const T_VEC w137[2] = { \ + add(w124[0], \ + sub(sub(kWeight0, mul(kWeight2, w132[0])), mul(kWeight2, w132[1]))), \ + add(w124[1], mul(kWeight2, sub(w132[0], w132[1]))) \ + }; \ + const T_VEC w138[2] = { add(w123[0], w131[1]), sub(w123[1], w131[0]) }; \ + const T_VEC w139[2] = { sub(w123[0], w131[1]), add(w123[1], w131[0]) }; \ + const T_VEC w140[2] = { \ + sub(w125[0], mul(kWeight2, sub(w133[0], w133[1]))), \ + sub(w125[1], mul(kWeight2, add(w133[1], w133[0]))) \ + }; \ + const T_VEC w141[2] = { \ + add(w125[0], mul(kWeight2, sub(w133[0], w133[1]))), \ + add(w125[1], mul(kWeight2, add(w133[1], w133[0]))) \ + }; \ + const T_VEC w142[2] = { add(w110[0], w134[0]), add(w110[1], w134[1]) }; \ + const T_VEC w143[2] = { sub(w110[0], w134[0]), sub(w110[1], w134[1]) }; \ + const T_VEC w144[2] = { \ + add(w112[0], add(mul(kWeight3, w136[0]), mul(kWeight4, w136[1]))), \ + add(w112[1], sub(mul(kWeight3, w136[1]), mul(kWeight4, w136[0]))) \ + }; \ + const T_VEC w145[2] = { \ + add(w112[0], \ + sub(sub(kWeight0, mul(kWeight3, w136[0])), mul(kWeight4, w136[1]))), \ + add(w112[1], sub(mul(kWeight4, w136[0]), mul(kWeight3, w136[1]))) \ + }; \ + const T_VEC w146[2] = { \ + add(w114[0], mul(kWeight2, add(w138[0], w138[1]))), \ + add(w114[1], mul(kWeight2, sub(w138[1], w138[0]))) \ + }; \ + const T_VEC w147[2] = { \ + add(w114[0], \ + sub(sub(kWeight0, mul(kWeight2, w138[0])), mul(kWeight2, w138[1]))), \ + add(w114[1], mul(kWeight2, sub(w138[0], w138[1]))) \ + }; \ + const T_VEC w148[2] = { \ + add(w116[0], add(mul(kWeight4, w140[0]), mul(kWeight3, w140[1]))), \ + add(w116[1], sub(mul(kWeight4, w140[1]), mul(kWeight3, w140[0]))) \ + }; \ + const T_VEC w149[2] = { \ + add(w116[0], \ + sub(sub(kWeight0, mul(kWeight4, w140[0])), mul(kWeight3, w140[1]))), \ + add(w116[1], sub(mul(kWeight3, w140[0]), mul(kWeight4, w140[1]))) \ + }; \ + const T_VEC w150[2] = { add(w111[0], w135[1]), sub(w111[1], w135[0]) }; \ + const T_VEC w151[2] = { sub(w111[0], w135[1]), add(w111[1], w135[0]) }; \ + const T_VEC w152[2] = { \ + sub(w113[0], sub(mul(kWeight4, w137[0]), mul(kWeight3, w137[1]))), \ + add(w113[1], \ + sub(sub(kWeight0, mul(kWeight4, w137[1])), mul(kWeight3, w137[0]))) \ + }; \ + const T_VEC w153[2] = { \ + add(w113[0], sub(mul(kWeight4, w137[0]), mul(kWeight3, w137[1]))), \ + add(w113[1], add(mul(kWeight4, w137[1]), mul(kWeight3, w137[0]))) \ + }; \ + const T_VEC w154[2] = { \ + sub(w115[0], mul(kWeight2, sub(w139[0], w139[1]))), \ + sub(w115[1], mul(kWeight2, add(w139[1], w139[0]))) \ + }; \ + const T_VEC w155[2] = { \ + add(w115[0], mul(kWeight2, sub(w139[0], w139[1]))), \ + add(w115[1], mul(kWeight2, add(w139[1], w139[0]))) \ + }; \ + const T_VEC w156[2] = { \ + sub(w117[0], sub(mul(kWeight3, w141[0]), mul(kWeight4, w141[1]))), \ + add(w117[1], \ + sub(sub(kWeight0, mul(kWeight3, w141[1])), mul(kWeight4, w141[0]))) \ + }; \ + const T_VEC w157[2] = { \ + add(w117[0], sub(mul(kWeight3, w141[0]), mul(kWeight4, w141[1]))), \ + add(w117[1], add(mul(kWeight3, w141[1]), mul(kWeight4, w141[0]))) \ + }; \ + store(output + 0 * stride, add(w78[0], w142[0])); \ + store(output + 1 * stride, \ + add(w80[0], add(mul(kWeight5, w144[0]), mul(kWeight6, w144[1])))); \ + store(output + 2 * stride, \ + add(w82[0], add(mul(kWeight3, w146[0]), mul(kWeight4, w146[1])))); \ + store(output + 3 * stride, \ + add(w84[0], add(mul(kWeight7, w148[0]), mul(kWeight8, w148[1])))); \ + store(output + 4 * stride, \ + add(w86[0], mul(kWeight2, add(w150[0], w150[1])))); \ + store(output + 5 * stride, \ + add(w88[0], add(mul(kWeight8, w152[0]), mul(kWeight7, w152[1])))); \ + store(output + 6 * stride, \ + add(w90[0], add(mul(kWeight4, w154[0]), mul(kWeight3, w154[1])))); \ + store(output + 7 * stride, \ + add(w92[0], add(mul(kWeight6, w156[0]), mul(kWeight5, w156[1])))); \ + store(output + 8 * stride, add(w79[0], w143[1])); \ + store(output + 9 * stride, \ + sub(w81[0], sub(mul(kWeight6, w145[0]), mul(kWeight5, w145[1])))); \ + store(output + 10 * stride, \ + sub(w83[0], sub(mul(kWeight4, w147[0]), mul(kWeight3, w147[1])))); \ + store(output + 11 * stride, \ + sub(w85[0], sub(mul(kWeight8, w149[0]), mul(kWeight7, w149[1])))); \ + store(output + 12 * stride, \ + sub(w87[0], mul(kWeight2, sub(w151[0], w151[1])))); \ + store(output + 13 * stride, \ + sub(w89[0], sub(mul(kWeight7, w153[0]), mul(kWeight8, w153[1])))); \ + store(output + 14 * stride, \ + sub(w91[0], sub(mul(kWeight3, w155[0]), mul(kWeight4, w155[1])))); \ + store(output + 15 * stride, \ + sub(w93[0], sub(mul(kWeight5, w157[0]), mul(kWeight6, w157[1])))); \ + store(output + 16 * stride, sub(w78[0], w142[0])); \ + store(output + 17 * stride, \ + add(w80[0], sub(sub(kWeight0, mul(kWeight5, w144[0])), \ + mul(kWeight6, w144[1])))); \ + store(output + 18 * stride, \ + add(w82[0], sub(sub(kWeight0, mul(kWeight3, w146[0])), \ + mul(kWeight4, w146[1])))); \ + store(output + 19 * stride, \ + add(w84[0], sub(sub(kWeight0, mul(kWeight7, w148[0])), \ + mul(kWeight8, w148[1])))); \ + store(output + 20 * stride, \ + add(w86[0], sub(sub(kWeight0, mul(kWeight2, w150[0])), \ + mul(kWeight2, w150[1])))); \ + store(output + 21 * stride, \ + add(w88[0], sub(sub(kWeight0, mul(kWeight8, w152[0])), \ + mul(kWeight7, w152[1])))); \ + store(output + 22 * stride, \ + add(w90[0], sub(sub(kWeight0, mul(kWeight4, w154[0])), \ + mul(kWeight3, w154[1])))); \ + store(output + 23 * stride, \ + add(w92[0], sub(sub(kWeight0, mul(kWeight6, w156[0])), \ + mul(kWeight5, w156[1])))); \ + store(output + 24 * stride, sub(w79[0], w143[1])); \ + store(output + 25 * stride, \ + add(w81[0], sub(mul(kWeight6, w145[0]), mul(kWeight5, w145[1])))); \ + store(output + 26 * stride, \ + add(w83[0], sub(mul(kWeight4, w147[0]), mul(kWeight3, w147[1])))); \ + store(output + 27 * stride, \ + add(w85[0], sub(mul(kWeight8, w149[0]), mul(kWeight7, w149[1])))); \ + store(output + 28 * stride, \ + add(w87[0], mul(kWeight2, sub(w151[0], w151[1])))); \ + store(output + 29 * stride, \ + add(w89[0], sub(mul(kWeight7, w153[0]), mul(kWeight8, w153[1])))); \ + store(output + 30 * stride, \ + add(w91[0], sub(mul(kWeight3, w155[0]), mul(kWeight4, w155[1])))); \ + store(output + 31 * stride, \ + add(w93[0], sub(mul(kWeight5, w157[0]), mul(kWeight6, w157[1])))); \ + } + +#endif // AOM_DSP_FFT_COMMON_H_ diff --git a/aom_dsp/noise_model.c b/aom_dsp/noise_model.c index 117185caf..6c0cf62df 100644 --- a/aom_dsp/noise_model.c +++ b/aom_dsp/noise_model.c @@ -18,6 +18,7 @@ #include "aom_dsp/noise_model.h" #include "aom_dsp/noise_util.h" #include "aom_mem/aom_mem.h" +#include "av1/common/common.h" #include "av1/encoder/mathutils.h" #define kLowPolyNumParams 3 @@ -1268,3 +1269,192 @@ int aom_noise_model_get_grain_parameters(aom_noise_model_t *const noise_model, film_grain->overlap_flag = 1; return 1; } + +static void pointwise_multiply(const float *a, float *b, int n) { + for (int i = 0; i < n; ++i) { + b[i] *= a[i]; + } +} + +static float *get_half_cos_window(int block_size) { + float *window_function = + (float *)aom_malloc(block_size * block_size * sizeof(*window_function)); + for (int y = 0; y < block_size; ++y) { + const double cos_yd = cos((.5 + y) * PI / block_size - PI / 2); + for (int x = 0; x < block_size; ++x) { + const double cos_xd = cos((.5 + x) * PI / block_size - PI / 2); + window_function[y * block_size + x] = (float)(cos_yd * cos_xd); + } + } + return window_function; +} + +#define DITHER_AND_QUANTIZE(INT_TYPE, suffix) \ + static void dither_and_quantize_##suffix( \ + float *result, int result_stride, INT_TYPE *denoised, int w, int h, \ + int stride, int chroma_sub_w, int chroma_sub_h, int block_size, \ + float block_normalization) { \ + for (int y = 0; y < (h >> chroma_sub_h); ++y) { \ + for (int x = 0; x < (w >> chroma_sub_w); ++x) { \ + const int result_idx = \ + (y + (block_size >> chroma_sub_h)) * result_stride + x + \ + (block_size >> chroma_sub_w); \ + INT_TYPE new_val = (INT_TYPE)AOMMIN( \ + AOMMAX(result[result_idx] * block_normalization + 0.5f, 0), \ + block_normalization); \ + const float err = \ + -(((float)new_val) / block_normalization - result[result_idx]); \ + denoised[y * stride + x] = new_val; \ + if (x + 1 < (w >> chroma_sub_w)) { \ + result[result_idx + 1] += err * 7.0f / 16.0f; \ + } \ + if (y + 1 < (h >> chroma_sub_h)) { \ + if (x > 0) { \ + result[result_idx + result_stride - 1] += err * 3.0f / 16.0f; \ + } \ + result[result_idx + result_stride] += err * 5.0f / 16.0f; \ + if (x + 1 < (w >> chroma_sub_w)) { \ + result[result_idx + result_stride + 1] += err * 1.0f / 16.0f; \ + } \ + } \ + } \ + } \ + } + +DITHER_AND_QUANTIZE(uint8_t, lowbd); +DITHER_AND_QUANTIZE(uint16_t, highbd); + +int aom_wiener_denoise_2d(const uint8_t *const data[3], uint8_t *denoised[3], + int w, int h, int stride[3], int chroma_sub[2], + float *noise_psd[3], int block_size, int bit_depth, + int use_highbd) { + float *plane = NULL, *block = NULL, *window_full = NULL, + *window_chroma = NULL; + double *block_d = NULL, *plane_d = NULL; + struct aom_noise_tx_t *tx_full = NULL; + struct aom_noise_tx_t *tx_chroma = NULL; + const int num_blocks_w = (w + block_size - 1) / block_size; + const int num_blocks_h = (h + block_size - 1) / block_size; + const int result_stride = (num_blocks_w + 2) * block_size; + const int result_height = (num_blocks_h + 2) * block_size; + float *result = NULL; + int init_success = 1; + aom_flat_block_finder_t block_finder_full; + aom_flat_block_finder_t block_finder_chroma; + const float kBlockNormalization = (1 << bit_depth) - 1; + if (chroma_sub[0] != chroma_sub[1]) { + fprintf(stderr, + "aom_wiener_denoise_2d doesn't handle different chroma " + "subsampling"); + return 0; + } + init_success &= aom_flat_block_finder_init(&block_finder_full, block_size, + bit_depth, use_highbd); + result = (float *)aom_malloc((num_blocks_h + 2) * block_size * result_stride * + sizeof(*result)); + plane = (float *)aom_malloc(block_size * block_size * sizeof(*plane)); + block = + (float *)aom_memalign(32, 2 * block_size * block_size * sizeof(*block)); + block_d = (double *)aom_malloc(block_size * block_size * sizeof(*block_d)); + plane_d = (double *)aom_malloc(block_size * block_size * sizeof(*plane_d)); + window_full = get_half_cos_window(block_size); + tx_full = aom_noise_tx_malloc(block_size); + + if (chroma_sub[0] != 0) { + init_success &= aom_flat_block_finder_init(&block_finder_chroma, + block_size >> chroma_sub[0], + bit_depth, use_highbd); + window_chroma = get_half_cos_window(block_size >> chroma_sub[0]); + tx_chroma = aom_noise_tx_malloc(block_size >> chroma_sub[0]); + } else { + window_chroma = window_full; + tx_chroma = tx_full; + } + + init_success &= (tx_full != NULL) && (tx_chroma != NULL) && (plane != NULL) && + (plane_d != NULL) && (block != NULL) && (block_d != NULL) && + (window_full != NULL) && (window_chroma != NULL) && + (result != NULL); + for (int c = init_success ? 0 : 3; c < 3; ++c) { + float *window_function = c == 0 ? window_full : window_chroma; + aom_flat_block_finder_t *block_finder = &block_finder_full; + const int chroma_sub_h = c > 0 ? chroma_sub[1] : 0; + const int chroma_sub_w = c > 0 ? chroma_sub[0] : 0; + struct aom_noise_tx_t *tx = + (c > 0 && chroma_sub[0] > 0) ? tx_chroma : tx_full; + if (!data[c] || !denoised[c]) continue; + if (c > 0 && chroma_sub[0] != 0) { + block_finder = &block_finder_chroma; + } + memset(result, 0, sizeof(*result) * result_stride * result_height); + // Do overlapped block processing (half overlapped). The block rows can + // easily be done in parallel + for (int offsy = 0; offsy < (block_size >> chroma_sub_h); + offsy += (block_size >> chroma_sub_h) / 2) { + for (int offsx = 0; offsx < (block_size >> chroma_sub_w); + offsx += (block_size >> chroma_sub_w) / 2) { + // Pad the boundary when processing each block-set. + for (int by = -1; by < num_blocks_h; ++by) { + for (int bx = -1; bx < num_blocks_w; ++bx) { + const int pixels_per_block = + (block_size >> chroma_sub_w) * (block_size >> chroma_sub_h); + aom_flat_block_finder_extract_block( + block_finder, data[c], w >> chroma_sub_w, h >> chroma_sub_h, + stride[c], bx * (block_size >> chroma_sub_w) + offsx, + by * (block_size >> chroma_sub_h) + offsy, plane_d, block_d); + for (int j = 0; j < pixels_per_block; ++j) { + block[j] = (float)block_d[j]; + plane[j] = (float)plane_d[j]; + } + pointwise_multiply(window_function, block, pixels_per_block); + aom_noise_tx_forward(tx, block); + aom_noise_tx_filter(tx, noise_psd[c]); + aom_noise_tx_inverse(tx, block); + + // Apply window function to the plane approximation (we will apply + // it to the sum of plane + block when composing the results). + pointwise_multiply(window_function, plane, pixels_per_block); + + for (int y = 0; y < (block_size >> chroma_sub_h); ++y) { + const int y_result = + y + (by + 1) * (block_size >> chroma_sub_h) + offsy; + for (int x = 0; x < (block_size >> chroma_sub_w); ++x) { + const int x_result = + x + (bx + 1) * (block_size >> chroma_sub_w) + offsx; + result[y_result * result_stride + x_result] += + (block[y * (block_size >> chroma_sub_w) + x] + + plane[y * (block_size >> chroma_sub_w) + x]) * + window_function[y * (block_size >> chroma_sub_w) + x]; + } + } + } + } + } + } + if (use_highbd) { + dither_and_quantize_highbd(result, result_stride, (uint16_t *)denoised[c], + w, h, stride[c], chroma_sub_w, chroma_sub_h, + block_size, kBlockNormalization); + } else { + dither_and_quantize_lowbd(result, result_stride, denoised[c], w, h, + stride[c], chroma_sub_w, chroma_sub_h, + block_size, kBlockNormalization); + } + } + aom_free(result); + aom_free(plane); + aom_free(block); + aom_free(plane_d); + aom_free(block_d); + aom_free(window_full); + + aom_noise_tx_free(tx_full); + + aom_flat_block_finder_free(&block_finder_full); + if (chroma_sub[0] != 0) { + aom_flat_block_finder_free(&block_finder_chroma); + aom_free(window_chroma); + aom_noise_tx_free(tx_chroma); + } + return init_success; +} diff --git a/aom_dsp/noise_model.h b/aom_dsp/noise_model.h index 34a364de0..dabeacc14 100644 --- a/aom_dsp/noise_model.h +++ b/aom_dsp/noise_model.h @@ -261,6 +261,25 @@ void aom_noise_model_save_latest(aom_noise_model_t *noise_model); int aom_noise_model_get_grain_parameters(aom_noise_model_t *const noise_model, aom_film_grain_t *film_grain); +/*!\brief Perform a Wiener filter denoising in 2D using the provided noise psd. + * + * \param[in] data Raw frame data + * \param[out] denoised Denoised frame data + * \param[in] w Frame width + * \param[in] h Frame height + * \param[in] stride Stride of the planes + * \param[in] chroma_sub_log2 Chroma subsampling for planes != 0. + * \param[in] noise_psd The power spectral density of the noise + * \param[in] block_size The size of blocks + * \param[in] bit_depth Bit depth of the image + * \param[in] use_highbd If true, uint8 pointers are interpreted as + * uint16 and stride is measured in uint16. + * This must be true when bit_depth >= 10. + */ +int aom_wiener_denoise_2d(const uint8_t *const data[3], uint8_t *denoised[3], + int w, int h, int stride[3], int chroma_sub_log2[2], + float *noise_psd[3], int block_size, int bit_depth, + int use_highbd); #ifdef __cplusplus } // extern "C" #endif // __cplusplus diff --git a/aom_dsp/noise_util.c b/aom_dsp/noise_util.c index c81874c6e..db4ca07c7 100644 --- a/aom_dsp/noise_util.c +++ b/aom_dsp/noise_util.c @@ -13,9 +13,120 @@ #include <stdio.h> #include <stdlib.h> +#include <string.h> #include "aom_dsp/noise_util.h" +#include "aom_dsp/fft_common.h" #include "aom_mem/aom_mem.h" +#include "config/aom_dsp_rtcd.h" + +float aom_noise_psd_get_default_value(int block_size, float factor) { + return (factor * factor / 10000) * block_size * block_size / 8; +} + +// Internal representation of noise transform. It keeps track of the +// transformed data and a temporary working buffer to use during the +// transform. +struct aom_noise_tx_t { + float *tx_block; + float *temp; + int block_size; + void (*fft)(const float *, float *, float *); + void (*ifft)(const float *, float *, float *); +}; + +struct aom_noise_tx_t *aom_noise_tx_malloc(int block_size) { + struct aom_noise_tx_t *noise_tx = + (struct aom_noise_tx_t *)aom_malloc(sizeof(struct aom_noise_tx_t)); + if (!noise_tx) return NULL; + memset(noise_tx, 0, sizeof(*noise_tx)); + switch (block_size) { + case 2: + noise_tx->fft = aom_fft2x2_float; + noise_tx->ifft = aom_ifft2x2_float; + break; + case 4: + noise_tx->fft = aom_fft4x4_float; + noise_tx->ifft = aom_ifft4x4_float; + break; + case 8: + noise_tx->fft = aom_fft8x8_float; + noise_tx->ifft = aom_ifft8x8_float; + break; + case 16: + noise_tx->fft = aom_fft16x16_float; + noise_tx->ifft = aom_ifft16x16_float; + break; + case 32: + noise_tx->fft = aom_fft32x32_float; + noise_tx->ifft = aom_ifft32x32_float; + break; + default: + aom_free(noise_tx); + fprintf(stderr, "Unsupported block size %d\n", block_size); + return NULL; + } + noise_tx->block_size = block_size; + noise_tx->tx_block = (float *)aom_memalign( + 32, 2 * sizeof(*noise_tx->tx_block) * block_size * block_size); + noise_tx->temp = (float *)aom_memalign( + 32, 2 * sizeof(*noise_tx->temp) * block_size * block_size); + if (!noise_tx->tx_block || !noise_tx->temp) { + aom_noise_tx_free(noise_tx); + return NULL; + } + return noise_tx; +} + +void aom_noise_tx_forward(struct aom_noise_tx_t *noise_tx, const float *data) { + noise_tx->fft(data, noise_tx->temp, noise_tx->tx_block); +} + +void aom_noise_tx_filter(struct aom_noise_tx_t *noise_tx, const float *psd) { + const int block_size = noise_tx->block_size; + const float kBeta = 1.1f; + const float kEps = 1e-6f; + for (int y = 0; y < block_size; ++y) { + for (int x = 0; x < block_size; ++x) { + int i = y * block_size + x; + float *c = noise_tx->tx_block + 2 * i; + const float p = c[0] * c[0] + c[1] * c[1]; + if (p > kBeta * psd[i] && p > 1e-6) { + noise_tx->tx_block[2 * i + 0] *= (p - psd[i]) / AOMMAX(p, kEps); + noise_tx->tx_block[2 * i + 1] *= (p - psd[i]) / AOMMAX(p, kEps); + } else { + noise_tx->tx_block[2 * i + 0] *= (kBeta - 1.0f) / kBeta; + noise_tx->tx_block[2 * i + 1] *= (kBeta - 1.0f) / kBeta; + } + } + } +} + +void aom_noise_tx_inverse(struct aom_noise_tx_t *noise_tx, float *data) { + const int n = noise_tx->block_size * noise_tx->block_size; + noise_tx->ifft(noise_tx->tx_block, noise_tx->temp, data); + for (int i = 0; i < n; ++i) { + data[i] /= n; + } +} + +void aom_noise_tx_add_energy(const struct aom_noise_tx_t *noise_tx, + float *psd) { + const int block_size = noise_tx->block_size; + for (int yb = 0; yb < block_size; ++yb) { + for (int xb = 0; xb <= block_size / 2; ++xb) { + float *c = noise_tx->tx_block + 2 * (yb * block_size + xb); + psd[yb * block_size + xb] += c[0] * c[0] + c[1] * c[1]; + } + } +} + +void aom_noise_tx_free(struct aom_noise_tx_t *noise_tx) { + if (!noise_tx) return; + aom_free(noise_tx->tx_block); + aom_free(noise_tx->temp); + aom_free(noise_tx); +} double aom_normalized_cross_correlation(const double *a, const double *b, int n) { diff --git a/aom_dsp/noise_util.h b/aom_dsp/noise_util.h index f3366d86b..ea4d9e3de 100644 --- a/aom_dsp/noise_util.h +++ b/aom_dsp/noise_util.h @@ -16,6 +16,44 @@ extern "C" { #endif // __cplusplus +// aom_noise_tx_t is an abstraction of a transform that is used for denoising. +// It is meant to be lightweight and does hold the transformed data (as +// the user should not be manipulating the transformed data directly). +struct aom_noise_tx_t; + +// Allocates and returns a aom_noise_tx_t useful for denoising the given +// block_size. The resulting aom_noise_tx_t should be free'd with +// aom_noise_tx_free. +struct aom_noise_tx_t *aom_noise_tx_malloc(int block_size); +void aom_noise_tx_free(struct aom_noise_tx_t *aom_noise_tx); + +// Transforms the internal data and holds it in the aom_noise_tx's internal +// buffer. For compatibility with existing SIMD implementations, "data" must +// be 32-byte aligned. +void aom_noise_tx_forward(struct aom_noise_tx_t *aom_noise_tx, + const float *data); + +// Filters aom_noise_tx's internal data using the provided noise power spectral +// density. The PSD must be at least block_size * block_size and should be +// populated with a constant or via estimates taken from +// aom_noise_tx_add_energy. +void aom_noise_tx_filter(struct aom_noise_tx_t *aom_noise_tx, const float *psd); + +// Performs an inverse transform using the internal transform data. +// For compatibility with existing SIMD implementations, "data" must be 32-byte +// aligned. +void aom_noise_tx_inverse(struct aom_noise_tx_t *aom_noise_tx, float *data); + +// Aggregates the power of the buffered transform data into the psd buffer. +void aom_noise_tx_add_energy(const struct aom_noise_tx_t *aom_noise_tx, + float *psd); + +// Returns a default value suitable for denosing a transform of the given +// block_size. The noise "factor" determines the strength of the noise to +// be removed. A value of about 2.5 can be used for moderate denoising, +// where a value of 5.0 can be used for a high level of denoising. +float aom_noise_psd_get_default_value(int block_size, float factor); + // Computes normalized cross correlation of two vectors a and b of length n. double aom_normalized_cross_correlation(const double *a, const double *b, int n); diff --git a/aom_dsp/x86/fft_avx2.c b/aom_dsp/x86/fft_avx2.c new file mode 100644 index 000000000..54da02253 --- /dev/null +++ b/aom_dsp/x86/fft_avx2.c @@ -0,0 +1,73 @@ +/* + * 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 <immintrin.h> + +#include "aom_dsp/aom_dsp_common.h" +#include "aom_dsp/fft_common.h" + +extern void aom_transpose_float_sse2(const float *A, float *B, int n); +extern void aom_fft_unpack_2d_output_sse2(const float *col_fft, float *output, + int n); + +// Generate the 1d forward transforms for float using _mm256 +GEN_FFT_8(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); +GEN_FFT_16(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); +GEN_FFT_32(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); + +void aom_fft8x8_float_avx2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 8, aom_fft1d_8_avx2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 8); +} + +void aom_fft16x16_float_avx2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 16, aom_fft1d_16_avx2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 8); +} + +void aom_fft32x32_float_avx2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 32, aom_fft1d_32_avx2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 8); +} + +// Generate the 1d inverse transforms for float using _mm256 +GEN_IFFT_8(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); +GEN_IFFT_16(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); +GEN_IFFT_32(static INLINE void, avx2, float, __m256, _mm256_load_ps, + _mm256_store_ps, _mm256_set1_ps, _mm256_add_ps, _mm256_sub_ps, + _mm256_mul_ps); + +void aom_ifft8x8_float_avx2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 8, aom_fft1d_8_float, aom_fft1d_8_avx2, + aom_ifft1d_8_avx2, aom_transpose_float_sse2, 8); +} + +void aom_ifft16x16_float_avx2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 16, aom_fft1d_16_float, + aom_fft1d_16_avx2, aom_ifft1d_16_avx2, + aom_transpose_float_sse2, 8); +} + +void aom_ifft32x32_float_avx2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 32, aom_fft1d_32_float, + aom_fft1d_32_avx2, aom_ifft1d_32_avx2, + aom_transpose_float_sse2, 8); +} diff --git a/aom_dsp/x86/fft_sse2.c b/aom_dsp/x86/fft_sse2.c new file mode 100644 index 000000000..12bdc3e18 --- /dev/null +++ b/aom_dsp/x86/fft_sse2.c @@ -0,0 +1,166 @@ +/* + * 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 +s * PATENTS file, you can obtain it at www.aomedia.org/license/patent. + */ + +#include <xmmintrin.h> + +#include "aom_dsp/aom_dsp_common.h" +#include "aom_dsp/fft_common.h" + +static INLINE void transpose4x4(const float *A, float *B, const int lda, + const int ldb) { + __m128 row1 = _mm_load_ps(&A[0 * lda]); + __m128 row2 = _mm_load_ps(&A[1 * lda]); + __m128 row3 = _mm_load_ps(&A[2 * lda]); + __m128 row4 = _mm_load_ps(&A[3 * lda]); + _MM_TRANSPOSE4_PS(row1, row2, row3, row4); + _mm_store_ps(&B[0 * ldb], row1); + _mm_store_ps(&B[1 * ldb], row2); + _mm_store_ps(&B[2 * ldb], row3); + _mm_store_ps(&B[3 * ldb], row4); +} + +void aom_transpose_float_sse2(const float *A, float *B, int n) { + for (int y = 0; y < n; y += 4) { + for (int x = 0; x < n; x += 4) { + transpose4x4(A + y * n + x, B + x * n + y, n, n); + } + } +} + +void aom_fft_unpack_2d_output_sse2(const float *packed, float *output, int n) { + const int n2 = n / 2; + output[0] = packed[0]; + output[1] = 0; + output[2 * (n2 * n)] = packed[n2 * n]; + output[2 * (n2 * n) + 1] = 0; + + output[2 * n2] = packed[n2]; + output[2 * n2 + 1] = 0; + output[2 * (n2 * n + n2)] = packed[n2 * n + n2]; + output[2 * (n2 * n + n2) + 1] = 0; + + for (int c = 1; c < n2; ++c) { + output[2 * (0 * n + c)] = packed[c]; + output[2 * (0 * n + c) + 1] = packed[c + n2]; + output[2 * (n2 * n + c) + 0] = packed[n2 * n + c]; + output[2 * (n2 * n + c) + 1] = packed[n2 * n + c + n2]; + } + for (int r = 1; r < n2; ++r) { + output[2 * (r * n + 0)] = packed[r * n]; + output[2 * (r * n + 0) + 1] = packed[(r + n2) * n]; + output[2 * (r * n + n2) + 0] = packed[r * n + n2]; + output[2 * (r * n + n2) + 1] = packed[(r + n2) * n + n2]; + + for (int c = 1; c < AOMMIN(n2, 4); ++c) { + output[2 * (r * n + c)] = + packed[r * n + c] - packed[(r + n2) * n + c + n2]; + output[2 * (r * n + c) + 1] = + packed[(r + n2) * n + c] + packed[r * n + c + n2]; + } + + for (int c = 4; c < n2; c += 4) { + __m128 real1 = _mm_load_ps(packed + r * n + c); + __m128 real2 = _mm_load_ps(packed + (r + n2) * n + c + n2); + __m128 imag1 = _mm_load_ps(packed + (r + n2) * n + c); + __m128 imag2 = _mm_load_ps(packed + r * n + c + n2); + real1 = _mm_sub_ps(real1, real2); + imag1 = _mm_add_ps(imag1, imag2); + _mm_store_ps(output + 2 * (r * n + c), _mm_unpacklo_ps(real1, imag1)); + _mm_store_ps(output + 2 * (r * n + c + 2), _mm_unpackhi_ps(real1, imag1)); + } + + int r2 = r + n2; + int r3 = n - r2; + output[2 * (r2 * n + 0)] = packed[r3 * n]; + output[2 * (r2 * n + 0) + 1] = -packed[(r3 + n2) * n]; + output[2 * (r2 * n + n2)] = packed[r3 * n + n2]; + output[2 * (r2 * n + n2) + 1] = -packed[(r3 + n2) * n + n2]; + for (int c = 1; c < AOMMIN(4, n2); ++c) { + output[2 * (r2 * n + c)] = + packed[r3 * n + c] + packed[(r3 + n2) * n + c + n2]; + output[2 * (r2 * n + c) + 1] = + -packed[(r3 + n2) * n + c] + packed[r3 * n + c + n2]; + } + for (int c = 4; c < n2; c += 4) { + __m128 real1 = _mm_load_ps(packed + r3 * n + c); + __m128 real2 = _mm_load_ps(packed + (r3 + n2) * n + c + n2); + __m128 imag1 = _mm_load_ps(packed + (r3 + n2) * n + c); + __m128 imag2 = _mm_load_ps(packed + r3 * n + c + n2); + real1 = _mm_add_ps(real1, real2); + imag1 = _mm_sub_ps(imag2, imag1); + _mm_store_ps(output + 2 * (r2 * n + c), _mm_unpacklo_ps(real1, imag1)); + _mm_store_ps(output + 2 * (r2 * n + c + 2), + _mm_unpackhi_ps(real1, imag1)); + } + } +} + +// Generate definitions for 1d transforms using float and __mm128 +GEN_FFT_4(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps); +GEN_FFT_8(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); +GEN_FFT_16(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); +GEN_FFT_32(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); + +void aom_fft4x4_float_sse2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 4, aom_fft1d_4_sse2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 4); +} + +void aom_fft8x8_float_sse2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 8, aom_fft1d_8_sse2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 4); +} + +void aom_fft16x16_float_sse2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 16, aom_fft1d_16_sse2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 4); +} + +void aom_fft32x32_float_sse2(const float *input, float *temp, float *output) { + aom_fft_2d_gen(input, temp, output, 32, aom_fft1d_32_sse2, + aom_transpose_float_sse2, aom_fft_unpack_2d_output_sse2, 4); +} + +// Generate definitions for 1d inverse transforms using float and mm128 +GEN_IFFT_4(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps); +GEN_IFFT_8(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); +GEN_IFFT_16(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); +GEN_IFFT_32(static INLINE void, sse2, float, __m128, _mm_load_ps, _mm_store_ps, + _mm_set1_ps, _mm_add_ps, _mm_sub_ps, _mm_mul_ps); + +void aom_ifft4x4_float_sse2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 4, aom_fft1d_4_float, aom_fft1d_4_sse2, + aom_ifft1d_4_sse2, aom_transpose_float_sse2, 4); +} + +void aom_ifft8x8_float_sse2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 8, aom_fft1d_8_float, aom_fft1d_8_sse2, + aom_ifft1d_8_sse2, aom_transpose_float_sse2, 4); +} + +void aom_ifft16x16_float_sse2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 16, aom_fft1d_16_float, + aom_fft1d_16_sse2, aom_ifft1d_16_sse2, + aom_transpose_float_sse2, 4); +} + +void aom_ifft32x32_float_sse2(const float *input, float *temp, float *output) { + aom_ifft_2d_gen(input, temp, output, 32, aom_fft1d_32_float, + aom_fft1d_32_sse2, aom_ifft1d_32_sse2, + aom_transpose_float_sse2, 4); +} |