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Diffstat (limited to 'media/libaom/src/aom_dsp/fft_common.h')
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diff --git a/media/libaom/src/aom_dsp/fft_common.h b/media/libaom/src/aom_dsp/fft_common.h new file mode 100644 index 0000000000..5137331aec --- /dev/null +++ b/media/libaom/src/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_AOM_DSP_FFT_COMMON_H_ +#define AOM_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_AOM_DSP_FFT_COMMON_H_ |