/* * Copyright (c) 2010 The WebM project authors. All Rights Reserved. * * Use of this source code is governed by a BSD-style license * that can be found in the LICENSE file in the root of the source * tree. An additional intellectual property rights grant can be found * in the file PATENTS. All contributing project authors may * be found in the AUTHORS file in the root of the source tree. */ /**************************************************************************** * Notes: * * This implementation makes use of 16 bit fixed point verio of two multiply * constants: * 1. sqrt(2) * cos (pi/8) * 2. sqrt(2) * sin (pi/8) * Becuase the first constant is bigger than 1, to maintain the same 16 bit * fixed point precision as the second one, we use a trick of * x * a = x + x*(a-1) * so * x * sqrt(2) * cos (pi/8) = x + x * (sqrt(2) *cos(pi/8)-1). **************************************************************************/ #include #include #include "vpx_ports/config.h" #include "vp9/common/idct.h" #include "vp9/common/systemdependent.h" #include "vp9/common/blockd.h" static const int cospi8sqrt2minus1 = 20091; static const int sinpi8sqrt2 = 35468; static const int rounding = 0; // TODO: these transforms can be further converted into integer forms // for complexity optimization static const float idct_4[16] = { 0.500000000000000, 0.653281482438188, 0.500000000000000, 0.270598050073099, 0.500000000000000, 0.270598050073099, -0.500000000000000, -0.653281482438188, 0.500000000000000, -0.270598050073099, -0.500000000000000, 0.653281482438188, 0.500000000000000, -0.653281482438188, 0.500000000000000, -0.270598050073099 }; static const float iadst_4[16] = { 0.228013428883779, 0.577350269189626, 0.656538502008139, 0.428525073124360, 0.428525073124360, 0.577350269189626, -0.228013428883779, -0.656538502008139, 0.577350269189626, 0, -0.577350269189626, 0.577350269189626, 0.656538502008139, -0.577350269189626, 0.428525073124359, -0.228013428883779 }; static const float idct_8[64] = { 0.353553390593274, 0.490392640201615, 0.461939766255643, 0.415734806151273, 0.353553390593274, 0.277785116509801, 0.191341716182545, 0.097545161008064, 0.353553390593274, 0.415734806151273, 0.191341716182545, -0.097545161008064, -0.353553390593274, -0.490392640201615, -0.461939766255643, -0.277785116509801, 0.353553390593274, 0.277785116509801, -0.191341716182545, -0.490392640201615, -0.353553390593274, 0.097545161008064, 0.461939766255643, 0.415734806151273, 0.353553390593274, 0.097545161008064, -0.461939766255643, -0.277785116509801, 0.353553390593274, 0.415734806151273, -0.191341716182545, -0.490392640201615, 0.353553390593274, -0.097545161008064, -0.461939766255643, 0.277785116509801, 0.353553390593274, -0.415734806151273, -0.191341716182545, 0.490392640201615, 0.353553390593274, -0.277785116509801, -0.191341716182545, 0.490392640201615, -0.353553390593274, -0.097545161008064, 0.461939766255643, -0.415734806151273, 0.353553390593274, -0.415734806151273, 0.191341716182545, 0.097545161008064, -0.353553390593274, 0.490392640201615, -0.461939766255643, 0.277785116509801, 0.353553390593274, -0.490392640201615, 0.461939766255643, -0.415734806151273, 0.353553390593274, -0.277785116509801, 0.191341716182545, -0.097545161008064 }; static const float iadst_8[64] = { 0.089131608307533, 0.255357107325376, 0.387095214016349, 0.466553967085785, 0.483002021635509, 0.434217976756762, 0.326790388032145, 0.175227946595735, 0.175227946595735, 0.434217976756762, 0.466553967085785, 0.255357107325376, -0.089131608307533, -0.387095214016348, -0.483002021635509, -0.326790388032145, 0.255357107325376, 0.483002021635509, 0.175227946595735, -0.326790388032145, -0.466553967085785, -0.089131608307533, 0.387095214016349, 0.434217976756762, 0.326790388032145, 0.387095214016349, -0.255357107325376, -0.434217976756762, 0.175227946595735, 0.466553967085786, -0.089131608307534, -0.483002021635509, 0.387095214016349, 0.175227946595735, -0.483002021635509, 0.089131608307533, 0.434217976756762, -0.326790388032145, -0.255357107325377, 0.466553967085785, 0.434217976756762, -0.089131608307533, -0.326790388032145, 0.483002021635509, -0.255357107325376, -0.175227946595735, 0.466553967085785, -0.387095214016348, 0.466553967085785, -0.326790388032145, 0.089131608307533, 0.175227946595735, -0.387095214016348, 0.483002021635509, -0.434217976756762, 0.255357107325376, 0.483002021635509, -0.466553967085785, 0.434217976756762, -0.387095214016348, 0.326790388032145, -0.255357107325375, 0.175227946595736, -0.089131608307532 }; static const int16_t idct_i4[16] = { 8192, 10703, 8192, 4433, 8192, 4433, -8192, -10703, 8192, -4433, -8192, 10703, 8192, -10703, 8192, -4433 }; static const int16_t iadst_i4[16] = { 3736, 9459, 10757, 7021, 7021, 9459, -3736, -10757, 9459, 0, -9459, 9459, 10757, -9459, 7021, -3736 }; static const int16_t idct_i8[64] = { 5793, 8035, 7568, 6811, 5793, 4551, 3135, 1598, 5793, 6811, 3135, -1598, -5793, -8035, -7568, -4551, 5793, 4551, -3135, -8035, -5793, 1598, 7568, 6811, 5793, 1598, -7568, -4551, 5793, 6811, -3135, -8035, 5793, -1598, -7568, 4551, 5793, -6811, -3135, 8035, 5793, -4551, -3135, 8035, -5793, -1598, 7568, -6811, 5793, -6811, 3135, 1598, -5793, 8035, -7568, 4551, 5793, -8035, 7568, -6811, 5793, -4551, 3135, -1598 }; static const int16_t iadst_i8[64] = { 1460, 4184, 6342, 7644, 7914, 7114, 5354, 2871, 2871, 7114, 7644, 4184, -1460, -6342, -7914, -5354, 4184, 7914, 2871, -5354, -7644, -1460, 6342, 7114, 5354, 6342, -4184, -7114, 2871, 7644, -1460, -7914, 6342, 2871, -7914, 1460, 7114, -5354, -4184, 7644, 7114, -1460, -5354, 7914, -4184, -2871, 7644, -6342, 7644, -5354, 1460, 2871, -6342, 7914, -7114, 4184, 7914, -7644, 7114, -6342, 5354, -4184, 2871, -1460 }; static float idct_16[256] = { 0.250000, 0.351851, 0.346760, 0.338330, 0.326641, 0.311806, 0.293969, 0.273300, 0.250000, 0.224292, 0.196424, 0.166664, 0.135299, 0.102631, 0.068975, 0.034654, 0.250000, 0.338330, 0.293969, 0.224292, 0.135299, 0.034654, -0.068975, -0.166664, -0.250000, -0.311806, -0.346760, -0.351851, -0.326641, -0.273300, -0.196424, -0.102631, 0.250000, 0.311806, 0.196424, 0.034654, -0.135299, -0.273300, -0.346760, -0.338330, -0.250000, -0.102631, 0.068975, 0.224292, 0.326641, 0.351851, 0.293969, 0.166664, 0.250000, 0.273300, 0.068975, -0.166664, -0.326641, -0.338330, -0.196424, 0.034654, 0.250000, 0.351851, 0.293969, 0.102631, -0.135299, -0.311806, -0.346760, -0.224292, 0.250000, 0.224292, -0.068975, -0.311806, -0.326641, -0.102631, 0.196424, 0.351851, 0.250000, -0.034654, -0.293969, -0.338330, -0.135299, 0.166664, 0.346760, 0.273300, 0.250000, 0.166664, -0.196424, -0.351851, -0.135299, 0.224292, 0.346760, 0.102631, -0.250000, -0.338330, -0.068975, 0.273300, 0.326641, 0.034654, -0.293969, -0.311806, 0.250000, 0.102631, -0.293969, -0.273300, 0.135299, 0.351851, 0.068975, -0.311806, -0.250000, 0.166664, 0.346760, 0.034654, -0.326641, -0.224292, 0.196424, 0.338330, 0.250000, 0.034654, -0.346760, -0.102631, 0.326641, 0.166664, -0.293969, -0.224292, 0.250000, 0.273300, -0.196424, -0.311806, 0.135299, 0.338330, -0.068975, -0.351851, 0.250000, -0.034654, -0.346760, 0.102631, 0.326641, -0.166664, -0.293969, 0.224292, 0.250000, -0.273300, -0.196424, 0.311806, 0.135299, -0.338330, -0.068975, 0.351851, 0.250000, -0.102631, -0.293969, 0.273300, 0.135299, -0.351851, 0.068975, 0.311806, -0.250000, -0.166664, 0.346760, -0.034654, -0.326641, 0.224292, 0.196424, -0.338330, 0.250000, -0.166664, -0.196424, 0.351851, -0.135299, -0.224292, 0.346760, -0.102631, -0.250000, 0.338330, -0.068975, -0.273300, 0.326641, -0.034654, -0.293969, 0.311806, 0.250000, -0.224292, -0.068975, 0.311806, -0.326641, 0.102631, 0.196424, -0.351851, 0.250000, 0.034654, -0.293969, 0.338330, -0.135299, -0.166664, 0.346760, -0.273300, 0.250000, -0.273300, 0.068975, 0.166664, -0.326641, 0.338330, -0.196424, -0.034654, 0.250000, -0.351851, 0.293969, -0.102631, -0.135299, 0.311806, -0.346760, 0.224292, 0.250000, -0.311806, 0.196424, -0.034654, -0.135299, 0.273300, -0.346760, 0.338330, -0.250000, 0.102631, 0.068975, -0.224292, 0.326641, -0.351851, 0.293969, -0.166664, 0.250000, -0.338330, 0.293969, -0.224292, 0.135299, -0.034654, -0.068975, 0.166664, -0.250000, 0.311806, -0.346760, 0.351851, -0.326641, 0.273300, -0.196424, 0.102631, 0.250000, -0.351851, 0.346760, -0.338330, 0.326641, -0.311806, 0.293969, -0.273300, 0.250000, -0.224292, 0.196424, -0.166664, 0.135299, -0.102631, 0.068975, -0.034654 }; static float iadst_16[256] = { 0.033094, 0.098087, 0.159534, 0.215215, 0.263118, 0.301511, 0.329007, 0.344612, 0.347761, 0.338341, 0.316693, 0.283599, 0.240255, 0.188227, 0.129396, 0.065889, 0.065889, 0.188227, 0.283599, 0.338341, 0.344612, 0.301511, 0.215215, 0.098087, -0.033094, -0.159534, -0.263118, -0.329007, -0.347761, -0.316693, -0.240255, -0.129396, 0.098087, 0.263118, 0.344612, 0.316693, 0.188227, 0.000000, -0.188227, -0.316693, -0.344612, -0.263118, -0.098087, 0.098087, 0.263118, 0.344612, 0.316693, 0.188227, 0.129396, 0.316693, 0.329007, 0.159534, -0.098087, -0.301511, -0.338341, -0.188227, 0.065889, 0.283599, 0.344612, 0.215215, -0.033094, -0.263118, -0.347761, -0.240255, 0.159534, 0.344612, 0.240255, -0.065889, -0.316693, -0.301511, -0.033094, 0.263118, 0.338341, 0.129396, -0.188227, -0.347761, -0.215215, 0.098087, 0.329007, 0.283599, 0.188227, 0.344612, 0.098087, -0.263118, -0.316693, -0.000000, 0.316693, 0.263118, -0.098087, -0.344612, -0.188227, 0.188227, 0.344612, 0.098087, -0.263118, -0.316693, 0.215215, 0.316693, -0.065889, -0.347761, -0.098087, 0.301511, 0.240255, -0.188227, -0.329007, 0.033094, 0.344612, 0.129396, -0.283599, -0.263118, 0.159534, 0.338341, 0.240255, 0.263118, -0.215215, -0.283599, 0.188227, 0.301511, -0.159534, -0.316693, 0.129396, 0.329007, -0.098087, -0.338341, 0.065889, 0.344612, -0.033094, -0.347761, 0.263118, 0.188227, -0.316693, -0.098087, 0.344612, 0.000000, -0.344612, 0.098087, 0.316693, -0.188227, -0.263118, 0.263118, 0.188227, -0.316693, -0.098087, 0.344612, 0.283599, 0.098087, -0.347761, 0.129396, 0.263118, -0.301511, -0.065889, 0.344612, -0.159534, -0.240255, 0.316693, 0.033094, -0.338341, 0.188227, 0.215215, -0.329007, 0.301511, 0.000000, -0.301511, 0.301511, 0.000000, -0.301511, 0.301511, 0.000000, -0.301511, 0.301511, 0.000000, -0.301511, 0.301511, 0.000000, -0.301511, 0.301511, 0.316693, -0.098087, -0.188227, 0.344612, -0.263118, -0.000000, 0.263118, -0.344612, 0.188227, 0.098087, -0.316693, 0.316693, -0.098087, -0.188227, 0.344612, -0.263118, 0.329007, -0.188227, -0.033094, 0.240255, -0.344612, 0.301511, -0.129396, -0.098087, 0.283599, -0.347761, 0.263118, -0.065889, -0.159534, 0.316693, -0.338341, 0.215215, 0.338341, -0.263118, 0.129396, 0.033094, -0.188227, 0.301511, -0.347761, 0.316693, -0.215215, 0.065889, 0.098087, -0.240255, 0.329007, -0.344612, 0.283599, -0.159534, 0.344612, -0.316693, 0.263118, -0.188227, 0.098087, 0.000000, -0.098087, 0.188227, -0.263118, 0.316693, -0.344612, 0.344612, -0.316693, 0.263118, -0.188227, 0.098087, 0.347761, -0.344612, 0.338341, -0.329007, 0.316693, -0.301511, 0.283599, -0.263118, 0.240255, -0.215215, 0.188227, -0.159534, 0.129396, -0.098087, 0.065889, -0.033094 }; static const int16_t idct_i16[256] = { 4096, 5765, 5681, 5543, 5352, 5109, 4816, 4478, 4096, 3675, 3218, 2731, 2217, 1682, 1130, 568, 4096, 5543, 4816, 3675, 2217, 568, -1130, -2731, -4096, -5109, -5681, -5765, -5352, -4478, -3218, -1682, 4096, 5109, 3218, 568, -2217, -4478, -5681, -5543, -4096, -1682, 1130, 3675, 5352, 5765, 4816, 2731, 4096, 4478, 1130, -2731, -5352, -5543, -3218, 568, 4096, 5765, 4816, 1682, -2217, -5109, -5681, -3675, 4096, 3675, -1130, -5109, -5352, -1682, 3218, 5765, 4096, -568, -4816, -5543, -2217, 2731, 5681, 4478, 4096, 2731, -3218, -5765, -2217, 3675, 5681, 1682, -4096, -5543, -1130, 4478, 5352, 568, -4816, -5109, 4096, 1682, -4816, -4478, 2217, 5765, 1130, -5109, -4096, 2731, 5681, 568, -5352, -3675, 3218, 5543, 4096, 568, -5681, -1682, 5352, 2731, -4816, -3675, 4096, 4478, -3218, -5109, 2217, 5543, -1130, -5765, 4096, -568, -5681, 1682, 5352, -2731, -4816, 3675, 4096, -4478, -3218, 5109, 2217, -5543, -1130, 5765, 4096, -1682, -4816, 4478, 2217, -5765, 1130, 5109, -4096, -2731, 5681, -568, -5352, 3675, 3218, -5543, 4096, -2731, -3218, 5765, -2217, -3675, 5681, -1682, -4096, 5543, -1130, -4478, 5352, -568, -4816, 5109, 4096, -3675, -1130, 5109, -5352, 1682, 3218, -5765, 4096, 568, -4816, 5543, -2217, -2731, 5681, -4478, 4096, -4478, 1130, 2731, -5352, 5543, -3218, -568, 4096, -5765, 4816, -1682, -2217, 5109, -5681, 3675, 4096, -5109, 3218, -568, -2217, 4478, -5681, 5543, -4096, 1682, 1130, -3675, 5352, -5765, 4816, -2731, 4096, -5543, 4816, -3675, 2217, -568, -1130, 2731, -4096, 5109, -5681, 5765, -5352, 4478, -3218, 1682, 4096, -5765, 5681, -5543, 5352, -5109, 4816, -4478, 4096, -3675, 3218, -2731, 2217, -1682, 1130, -568 }; static const int16_t iadst_i16[256] = { 542, 1607, 2614, 3526, 4311, 4940, 5390, 5646, 5698, 5543, 5189, 4646, 3936, 3084, 2120, 1080, 1080, 3084, 4646, 5543, 5646, 4940, 3526, 1607, -542, -2614, -4311, -5390, -5698, -5189, -3936, -2120, 1607, 4311, 5646, 5189, 3084, 0, -3084, -5189, -5646, -4311, -1607, 1607, 4311, 5646, 5189, 3084, 2120, 5189, 5390, 2614, -1607, -4940, -5543, -3084, 1080, 4646, 5646, 3526, -542, -4311, -5698, -3936, 2614, 5646, 3936, -1080, -5189, -4940, -542, 4311, 5543, 2120, -3084, -5698, -3526, 1607, 5390, 4646, 3084, 5646, 1607, -4311, -5189, 0, 5189, 4311, -1607, -5646, -3084, 3084, 5646, 1607, -4311, -5189, 3526, 5189, -1080, -5698, -1607, 4940, 3936, -3084, -5390, 542, 5646, 2120, -4646, -4311, 2614, 5543, 3936, 4311, -3526, -4646, 3084, 4940, -2614, -5189, 2120, 5390, -1607, -5543, 1080, 5646, -542, -5698, 4311, 3084, -5189, -1607, 5646, 0, -5646, 1607, 5189, -3084, -4311, 4311, 3084, -5189, -1607, 5646, 4646, 1607, -5698, 2120, 4311, -4940, -1080, 5646, -2614, -3936, 5189, 542, -5543, 3084, 3526, -5390, 4940, 0, -4940, 4940, 0, -4940, 4940, 0, -4940, 4940, 0, -4940, 4940, 0, -4940, 4940, 5189, -1607, -3084, 5646, -4311, 0, 4311, -5646, 3084, 1607, -5189, 5189, -1607, -3084, 5646, -4311, 5390, -3084, -542, 3936, -5646, 4940, -2120, -1607, 4646, -5698, 4311, -1080, -2614, 5189, -5543, 3526, 5543, -4311, 2120, 542, -3084, 4940, -5698, 5189, -3526, 1080, 1607, -3936, 5390, -5646, 4646, -2614, 5646, -5189, 4311, -3084, 1607, 0, -1607, 3084, -4311, 5189, -5646, 5646, -5189, 4311, -3084, 1607, 5698, -5646, 5543, -5390, 5189, -4940, 4646, -4311, 3936, -3526, 3084, -2614, 2120, -1607, 1080, -542 }; /* For test */ #define TEST_INT 1 #if TEST_INT #define vp9_ihtllm_int_c vp9_ihtllm_c #else #define vp9_ihtllm_float_c vp9_ihtllm_c #endif void vp9_ihtllm_float_c(const int16_t *input, int16_t *output, int pitch, TX_TYPE tx_type, int tx_dim) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { int i, j, k; float bufa[256], bufb[256]; // buffers are for floating-point test purpose // the implementation could be simplified in // conjunction with integer transform const int16_t *ip = input; int16_t *op = output; int shortpitch = pitch >> 1; float *pfa = &bufa[0]; float *pfb = &bufb[0]; // pointers to vertical and horizontal transforms const float *ptv, *pth; assert(tx_type != DCT_DCT); // load and convert residual array into floating-point for(j = 0; j < tx_dim; j++) { for(i = 0; i < tx_dim; i++) { pfa[i] = (float)ip[i]; } pfa += tx_dim; ip += tx_dim; } // vertical transformation pfa = &bufa[0]; pfb = &bufb[0]; switch(tx_type) { case ADST_ADST : case ADST_DCT : ptv = (tx_dim == 4) ? &iadst_4[0] : ((tx_dim == 8) ? &iadst_8[0] : &iadst_16[0]); break; default : ptv = (tx_dim == 4) ? &idct_4[0] : ((tx_dim == 8) ? &idct_8[0] : &idct_16[0]); break; } for(j = 0; j < tx_dim; j++) { for(i = 0; i < tx_dim; i++) { pfb[i] = 0 ; for(k = 0; k < tx_dim; k++) { pfb[i] += ptv[k] * pfa[(k * tx_dim)]; } pfa += 1; } pfb += tx_dim; ptv += tx_dim; pfa = &bufa[0]; } // horizontal transformation pfa = &bufa[0]; pfb = &bufb[0]; switch(tx_type) { case ADST_ADST : case DCT_ADST : pth = (tx_dim == 4) ? &iadst_4[0] : ((tx_dim == 8) ? &iadst_8[0] : &iadst_16[0]); break; default : pth = (tx_dim == 4) ? &idct_4[0] : ((tx_dim == 8) ? &idct_8[0] : &idct_16[0]); break; } for(j = 0; j < tx_dim; j++) { for(i = 0; i < tx_dim; i++) { pfa[i] = 0; for(k = 0; k < tx_dim; k++) { pfa[i] += pfb[k] * pth[k]; } pth += tx_dim; } pfa += tx_dim; pfb += tx_dim; switch(tx_type) { case ADST_ADST : case DCT_ADST : pth = (tx_dim == 4) ? &iadst_4[0] : ((tx_dim == 8) ? &iadst_8[0] : &iadst_16[0]); break; default : pth = (tx_dim == 4) ? &idct_4[0] : ((tx_dim == 8) ? &idct_8[0] : &idct_16[0]); break; } } // convert to short integer format and load BLOCKD buffer op = output; pfa = &bufa[0]; for(j = 0; j < tx_dim; j++) { for(i = 0; i < tx_dim; i++) { op[i] = (pfa[i] > 0 ) ? (int16_t)( pfa[i] / 8 + 0.49) : -(int16_t)( - pfa[i] / 8 + 0.49); } op += shortpitch; pfa += tx_dim; } } vp9_clear_system_state(); // Make it simd safe : __asm emms; } /* Converted the transforms to integer form. */ #define VERTICAL_SHIFT 14 // 16 #define VERTICAL_ROUNDING ((1 << (VERTICAL_SHIFT - 1)) - 1) #define HORIZONTAL_SHIFT 17 // 15 #define HORIZONTAL_ROUNDING ((1 << (HORIZONTAL_SHIFT - 1)) - 1) void vp9_ihtllm_int_c(const int16_t *input, int16_t *output, int pitch, TX_TYPE tx_type, int tx_dim) { int i, j, k; int16_t imbuf[256]; const int16_t *ip = input; int16_t *op = output; int16_t *im = &imbuf[0]; /* pointers to vertical and horizontal transforms. */ const int16_t *ptv = NULL, *pth = NULL; int shortpitch = pitch >> 1; switch (tx_type) { case ADST_ADST : ptv = pth = (tx_dim == 4) ? &iadst_i4[0] : ((tx_dim == 8) ? &iadst_i8[0] : &iadst_i16[0]); break; case ADST_DCT : ptv = (tx_dim == 4) ? &iadst_i4[0] : ((tx_dim == 8) ? &iadst_i8[0] : &iadst_i16[0]); pth = (tx_dim == 4) ? &idct_i4[0] : ((tx_dim == 8) ? &idct_i8[0] : &idct_i16[0]); break; case DCT_ADST : ptv = (tx_dim == 4) ? &idct_i4[0] : ((tx_dim == 8) ? &idct_i8[0] : &idct_i16[0]); pth = (tx_dim == 4) ? &iadst_i4[0] : ((tx_dim == 8) ? &iadst_i8[0] : &iadst_i16[0]); break; case DCT_DCT : ptv = pth = (tx_dim == 4) ? &idct_i4[0] : ((tx_dim == 8) ? &idct_i8[0] : &idct_i16[0]); break; default: assert(0); break; } /* vertical transformation */ for (j = 0; j < tx_dim; j++) { for (i = 0; i < tx_dim; i++) { int temp = 0; for (k = 0; k < tx_dim; k++) { temp += ptv[k] * ip[(k * tx_dim)]; } im[i] = (int16_t)((temp + VERTICAL_ROUNDING) >> VERTICAL_SHIFT); ip++; } im += tx_dim; // 16 ptv += tx_dim; ip = input; } /* horizontal transformation */ im = &imbuf[0]; for (j = 0; j < tx_dim; j++) { const int16_t *pthc = pth; for (i = 0; i < tx_dim; i++) { int temp = 0; for (k = 0; k < tx_dim; k++) { temp += im[k] * pthc[k]; } op[i] = (int16_t)((temp + HORIZONTAL_ROUNDING) >> HORIZONTAL_SHIFT); pthc += tx_dim; } im += tx_dim; // 16 op += shortpitch; } } void vp9_short_idct4x4llm_c(short *input, short *output, int pitch) { int i; int a1, b1, c1, d1; short *ip = input; short *op = output; int temp1, temp2; int shortpitch = pitch >> 1; for (i = 0; i < 4; i++) { a1 = ip[0] + ip[8]; b1 = ip[0] - ip[8]; temp1 = (ip[4] * sinpi8sqrt2 + rounding) >> 16; temp2 = ip[12] + ((ip[12] * cospi8sqrt2minus1 + rounding) >> 16); c1 = temp1 - temp2; temp1 = ip[4] + ((ip[4] * cospi8sqrt2minus1 + rounding) >> 16); temp2 = (ip[12] * sinpi8sqrt2 + rounding) >> 16; d1 = temp1 + temp2; op[shortpitch * 0] = a1 + d1; op[shortpitch * 3] = a1 - d1; op[shortpitch * 1] = b1 + c1; op[shortpitch * 2] = b1 - c1; ip++; op++; } ip = output; op = output; for (i = 0; i < 4; i++) { a1 = ip[0] + ip[2]; b1 = ip[0] - ip[2]; temp1 = (ip[1] * sinpi8sqrt2 + rounding) >> 16; temp2 = ip[3] + ((ip[3] * cospi8sqrt2minus1 + rounding) >> 16); c1 = temp1 - temp2; temp1 = ip[1] + ((ip[1] * cospi8sqrt2minus1 + rounding) >> 16); temp2 = (ip[3] * sinpi8sqrt2 + rounding) >> 16; d1 = temp1 + temp2; op[0] = (a1 + d1 + 16) >> 5; op[3] = (a1 - d1 + 16) >> 5; op[1] = (b1 + c1 + 16) >> 5; op[2] = (b1 - c1 + 16) >> 5; ip += shortpitch; op += shortpitch; } } void vp9_short_idct4x4llm_1_c(short *input, short *output, int pitch) { int i; int a1; short *op = output; int shortpitch = pitch >> 1; a1 = ((input[0] + 16) >> 5); for (i = 0; i < 4; i++) { op[0] = a1; op[1] = a1; op[2] = a1; op[3] = a1; op += shortpitch; } } void vp9_dc_only_idct_add_c(short input_dc, unsigned char *pred_ptr, unsigned char *dst_ptr, int pitch, int stride) { int a1 = ((input_dc + 16) >> 5); int r, c; for (r = 0; r < 4; r++) { for (c = 0; c < 4; c++) { int a = a1 + pred_ptr[c]; if (a < 0) a = 0; if (a > 255) a = 255; dst_ptr[c] = (unsigned char) a; } dst_ptr += stride; pred_ptr += pitch; } } void vp9_short_inv_walsh4x4_c(short *input, short *output) { int i; int a1, b1, c1, d1; short *ip = input; short *op = output; for (i = 0; i < 4; i++) { a1 = ((ip[0] + ip[3])); b1 = ((ip[1] + ip[2])); c1 = ((ip[1] - ip[2])); d1 = ((ip[0] - ip[3])); op[0] = (a1 + b1 + 1) >> 1; op[1] = (c1 + d1) >> 1; op[2] = (a1 - b1) >> 1; op[3] = (d1 - c1) >> 1; ip += 4; op += 4; } ip = output; op = output; for (i = 0; i < 4; i++) { a1 = ip[0] + ip[12]; b1 = ip[4] + ip[8]; c1 = ip[4] - ip[8]; d1 = ip[0] - ip[12]; op[0] = (a1 + b1 + 1) >> 1; op[4] = (c1 + d1) >> 1; op[8] = (a1 - b1) >> 1; op[12] = (d1 - c1) >> 1; ip++; op++; } } void vp9_short_inv_walsh4x4_1_c(short *in, short *out) { int i; short tmp[4]; short *ip = in; short *op = tmp; op[0] = (ip[0] + 1) >> 1; op[1] = op[2] = op[3] = (ip[0] >> 1); ip = tmp; op = out; for (i = 0; i < 4; i++) { op[0] = (ip[0] + 1) >> 1; op[4] = op[8] = op[12] = (ip[0] >> 1); ip++; op++; } } #if CONFIG_LOSSLESS void vp9_short_inv_walsh4x4_lossless_c(short *input, short *output) { int i; int a1, b1, c1, d1; short *ip = input; short *op = output; for (i = 0; i < 4; i++) { a1 = ((ip[0] + ip[3])) >> Y2_WHT_UPSCALE_FACTOR; b1 = ((ip[1] + ip[2])) >> Y2_WHT_UPSCALE_FACTOR; c1 = ((ip[1] - ip[2])) >> Y2_WHT_UPSCALE_FACTOR; d1 = ((ip[0] - ip[3])) >> Y2_WHT_UPSCALE_FACTOR; op[0] = (a1 + b1 + 1) >> 1; op[1] = (c1 + d1) >> 1; op[2] = (a1 - b1) >> 1; op[3] = (d1 - c1) >> 1; ip += 4; op += 4; } ip = output; op = output; for (i = 0; i < 4; i++) { a1 = ip[0] + ip[12]; b1 = ip[4] + ip[8]; c1 = ip[4] - ip[8]; d1 = ip[0] - ip[12]; op[0] = ((a1 + b1 + 1) >> 1) << Y2_WHT_UPSCALE_FACTOR; op[4] = ((c1 + d1) >> 1) << Y2_WHT_UPSCALE_FACTOR; op[8] = ((a1 - b1) >> 1) << Y2_WHT_UPSCALE_FACTOR; op[12] = ((d1 - c1) >> 1) << Y2_WHT_UPSCALE_FACTOR; ip++; op++; } } void vp9_short_inv_walsh4x4_1_lossless_c(short *in, short *out) { int i; short tmp[4]; short *ip = in; short *op = tmp; op[0] = ((ip[0] >> Y2_WHT_UPSCALE_FACTOR) + 1) >> 1; op[1] = op[2] = op[3] = ((ip[0] >> Y2_WHT_UPSCALE_FACTOR) >> 1); ip = tmp; op = out; for (i = 0; i < 4; i++) { op[0] = ((ip[0] + 1) >> 1) << Y2_WHT_UPSCALE_FACTOR; op[4] = op[8] = op[12] = ((ip[0] >> 1)) << Y2_WHT_UPSCALE_FACTOR; ip++; op++; } } void vp9_short_inv_walsh4x4_x8_c(short *input, short *output, int pitch) { int i; int a1, b1, c1, d1; short *ip = input; short *op = output; int shortpitch = pitch >> 1; for (i = 0; i < 4; i++) { a1 = ((ip[0] + ip[3])) >> WHT_UPSCALE_FACTOR; b1 = ((ip[1] + ip[2])) >> WHT_UPSCALE_FACTOR; c1 = ((ip[1] - ip[2])) >> WHT_UPSCALE_FACTOR; d1 = ((ip[0] - ip[3])) >> WHT_UPSCALE_FACTOR; op[0] = (a1 + b1 + 1) >> 1; op[1] = (c1 + d1) >> 1; op[2] = (a1 - b1) >> 1; op[3] = (d1 - c1) >> 1; ip += 4; op += shortpitch; } ip = output; op = output; for (i = 0; i < 4; i++) { a1 = ip[shortpitch * 0] + ip[shortpitch * 3]; b1 = ip[shortpitch * 1] + ip[shortpitch * 2]; c1 = ip[shortpitch * 1] - ip[shortpitch * 2]; d1 = ip[shortpitch * 0] - ip[shortpitch * 3]; op[shortpitch * 0] = (a1 + b1 + 1) >> 1; op[shortpitch * 1] = (c1 + d1) >> 1; op[shortpitch * 2] = (a1 - b1) >> 1; op[shortpitch * 3] = (d1 - c1) >> 1; ip++; op++; } } void vp9_short_inv_walsh4x4_1_x8_c(short *in, short *out, int pitch) { int i; short tmp[4]; short *ip = in; short *op = tmp; int shortpitch = pitch >> 1; op[0] = ((ip[0] >> WHT_UPSCALE_FACTOR) + 1) >> 1; op[1] = op[2] = op[3] = ((ip[0] >> WHT_UPSCALE_FACTOR) >> 1); ip = tmp; op = out; for (i = 0; i < 4; i++) { op[shortpitch * 0] = (ip[0] + 1) >> 1; op[shortpitch * 1] = op[shortpitch * 2] = op[shortpitch * 3] = ip[0] >> 1; ip++; op++; } } void vp9_dc_only_inv_walsh_add_c(short input_dc, unsigned char *pred_ptr, unsigned char *dst_ptr, int pitch, int stride) { int r, c; short tmp[16]; vp9_short_inv_walsh4x4_1_x8_c(&input_dc, tmp, 4 << 1); for (r = 0; r < 4; r++) { for (c = 0; c < 4; c++) { int a = tmp[r * 4 + c] + pred_ptr[c]; if (a < 0) a = 0; if (a > 255) a = 255; dst_ptr[c] = (unsigned char) a; } dst_ptr += stride; pred_ptr += pitch; } } #endif void vp9_dc_only_idct_add_8x8_c(short input_dc, unsigned char *pred_ptr, unsigned char *dst_ptr, int pitch, int stride) { int a1 = ((input_dc + 16) >> 5); int r, c, b; unsigned char *orig_pred = pred_ptr; unsigned char *orig_dst = dst_ptr; for (b = 0; b < 4; b++) { for (r = 0; r < 4; r++) { for (c = 0; c < 4; c++) { int a = a1 + pred_ptr[c]; if (a < 0) a = 0; if (a > 255) a = 255; dst_ptr[c] = (unsigned char) a; } dst_ptr += stride; pred_ptr += pitch; } dst_ptr = orig_dst + (b + 1) % 2 * 4 + (b + 1) / 2 * 4 * stride; pred_ptr = orig_pred + (b + 1) % 2 * 4 + (b + 1) / 2 * 4 * pitch; } } #define W1 2841 /* 2048*sqrt(2)*cos(1*pi/16) */ #define W2 2676 /* 2048*sqrt(2)*cos(2*pi/16) */ #define W3 2408 /* 2048*sqrt(2)*cos(3*pi/16) */ #define W5 1609 /* 2048*sqrt(2)*cos(5*pi/16) */ #define W6 1108 /* 2048*sqrt(2)*cos(6*pi/16) */ #define W7 565 /* 2048*sqrt(2)*cos(7*pi/16) */ /* row (horizontal) IDCT * * 7 pi 1 dst[k] = sum c[l] * src[l] * cos( -- * * ( k + - ) * l ) l=0 8 2 * * where: c[0] = 128 c[1..7] = 128*sqrt(2) */ static void idctrow(int *blk) { int x0, x1, x2, x3, x4, x5, x6, x7, x8; /* shortcut */ if (!((x1 = blk[4] << 11) | (x2 = blk[6]) | (x3 = blk[2]) | (x4 = blk[1]) | (x5 = blk[7]) | (x6 = blk[5]) | (x7 = blk[3]))) { blk[0] = blk[1] = blk[2] = blk[3] = blk[4] = blk[5] = blk[6] = blk[7] = blk[0] << 3; return; } x0 = (blk[0] << 11) + 128; /* for proper rounding in the fourth stage */ /* first stage */ x8 = W7 * (x4 + x5); x4 = x8 + (W1 - W7) * x4; x5 = x8 - (W1 + W7) * x5; x8 = W3 * (x6 + x7); x6 = x8 - (W3 - W5) * x6; x7 = x8 - (W3 + W5) * x7; /* second stage */ x8 = x0 + x1; x0 -= x1; x1 = W6 * (x3 + x2); x2 = x1 - (W2 + W6) * x2; x3 = x1 + (W2 - W6) * x3; x1 = x4 + x6; x4 -= x6; x6 = x5 + x7; x5 -= x7; /* third stage */ x7 = x8 + x3; x8 -= x3; x3 = x0 + x2; x0 -= x2; x2 = (181 * (x4 + x5) + 128) >> 8; x4 = (181 * (x4 - x5) + 128) >> 8; /* fourth stage */ blk[0] = (x7 + x1) >> 8; blk[1] = (x3 + x2) >> 8; blk[2] = (x0 + x4) >> 8; blk[3] = (x8 + x6) >> 8; blk[4] = (x8 - x6) >> 8; blk[5] = (x0 - x4) >> 8; blk[6] = (x3 - x2) >> 8; blk[7] = (x7 - x1) >> 8; } /* column (vertical) IDCT * * 7 pi 1 dst[8*k] = sum c[l] * src[8*l] * * cos( -- * ( k + - ) * l ) l=0 8 2 * * where: c[0] = 1/1024 c[1..7] = (1/1024)*sqrt(2) */ static void idctcol(int *blk) { int x0, x1, x2, x3, x4, x5, x6, x7, x8; /* shortcut */ if (!((x1 = (blk[8 * 4] << 8)) | (x2 = blk[8 * 6]) | (x3 = blk[8 * 2]) | (x4 = blk[8 * 1]) | (x5 = blk[8 * 7]) | (x6 = blk[8 * 5]) | (x7 = blk[8 * 3]))) { blk[8 * 0] = blk[8 * 1] = blk[8 * 2] = blk[8 * 3] = blk[8 * 4] = blk[8 * 5] = blk[8 * 6] = blk[8 * 7] = ((blk[8 * 0] + 32) >> 6); return; } x0 = (blk[8 * 0] << 8) + 16384; /* first stage */ x8 = W7 * (x4 + x5) + 4; x4 = (x8 + (W1 - W7) * x4) >> 3; x5 = (x8 - (W1 + W7) * x5) >> 3; x8 = W3 * (x6 + x7) + 4; x6 = (x8 - (W3 - W5) * x6) >> 3; x7 = (x8 - (W3 + W5) * x7) >> 3; /* second stage */ x8 = x0 + x1; x0 -= x1; x1 = W6 * (x3 + x2) + 4; x2 = (x1 - (W2 + W6) * x2) >> 3; x3 = (x1 + (W2 - W6) * x3) >> 3; x1 = x4 + x6; x4 -= x6; x6 = x5 + x7; x5 -= x7; /* third stage */ x7 = x8 + x3; x8 -= x3; x3 = x0 + x2; x0 -= x2; x2 = (181 * (x4 + x5) + 128) >> 8; x4 = (181 * (x4 - x5) + 128) >> 8; /* fourth stage */ blk[8 * 0] = (x7 + x1) >> 14; blk[8 * 1] = (x3 + x2) >> 14; blk[8 * 2] = (x0 + x4) >> 14; blk[8 * 3] = (x8 + x6) >> 14; blk[8 * 4] = (x8 - x6) >> 14; blk[8 * 5] = (x0 - x4) >> 14; blk[8 * 6] = (x3 - x2) >> 14; blk[8 * 7] = (x7 - x1) >> 14; } #define TX_DIM 8 void vp9_short_idct8x8_c(short *coefs, short *block, int pitch) { int X[TX_DIM * TX_DIM]; int i, j; int shortpitch = pitch >> 1; for (i = 0; i < TX_DIM; i++) { for (j = 0; j < TX_DIM; j++) { X[i * TX_DIM + j] = (int)(coefs[i * TX_DIM + j] + 1 + (coefs[i * TX_DIM + j] < 0)) >> 2; } } for (i = 0; i < 8; i++) idctrow(X + 8 * i); for (i = 0; i < 8; i++) idctcol(X + i); for (i = 0; i < TX_DIM; i++) { for (j = 0; j < TX_DIM; j++) { block[i * shortpitch + j] = X[i * TX_DIM + j] >> 1; } } } void vp9_short_ihaar2x2_c(short *input, short *output, int pitch) { int i; short *ip = input; // 0,1, 4, 8 short *op = output; for (i = 0; i < 16; i++) { op[i] = 0; } op[0] = (ip[0] + ip[1] + ip[4] + ip[8] + 1) >> 1; op[1] = (ip[0] - ip[1] + ip[4] - ip[8]) >> 1; op[4] = (ip[0] + ip[1] - ip[4] - ip[8]) >> 1; op[8] = (ip[0] - ip[1] - ip[4] + ip[8]) >> 1; } #if 0 // Keep a really bad float version as reference for now. void vp9_short_idct16x16_c(short *input, short *output, int pitch) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { double x; const int short_pitch = pitch >> 1; int i, j, k, l; for (l = 0; l < 16; ++l) { for (k = 0; k < 16; ++k) { double s = 0; for (i = 0; i < 16; ++i) { for (j = 0; j < 16; ++j) { x=cos(PI*j*(l+0.5)/16.0)*cos(PI*i*(k+0.5)/16.0)*input[i*16+j]/32; if (i != 0) x *= sqrt(2.0); if (j != 0) x *= sqrt(2.0); s += x; } } output[k*short_pitch+l] = (short)round(s); } } } vp9_clear_system_state(); // Make it simd safe : __asm emms; } #endif static const double C1 = 0.995184726672197; static const double C2 = 0.98078528040323; static const double C3 = 0.956940335732209; static const double C4 = 0.923879532511287; static const double C5 = 0.881921264348355; static const double C6 = 0.831469612302545; static const double C7 = 0.773010453362737; static const double C8 = 0.707106781186548; static const double C9 = 0.634393284163646; static const double C10 = 0.555570233019602; static const double C11 = 0.471396736825998; static const double C12 = 0.38268343236509; static const double C13 = 0.290284677254462; static const double C14 = 0.195090322016128; static const double C15 = 0.098017140329561; static void butterfly_16x16_idct_1d(double input[16], double output[16]) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { double step[16]; double intermediate[16]; double temp1, temp2; // step 1 and 2 step[ 0] = input[0] + input[8]; step[ 1] = input[0] - input[8]; temp1 = input[4]*C12; temp2 = input[12]*C4; temp1 -= temp2; temp1 *= C8; step[ 2] = 2*(temp1); temp1 = input[4]*C4; temp2 = input[12]*C12; temp1 += temp2; temp1 = (temp1); temp1 *= C8; step[ 3] = 2*(temp1); temp1 = input[2]*C8; temp1 = 2*(temp1); temp2 = input[6] + input[10]; step[ 4] = temp1 + temp2; step[ 5] = temp1 - temp2; temp1 = input[14]*C8; temp1 = 2*(temp1); temp2 = input[6] - input[10]; step[ 6] = temp2 - temp1; step[ 7] = temp2 + temp1; // for odd input temp1 = input[3]*C12; temp2 = input[13]*C4; temp1 += temp2; temp1 = (temp1); temp1 *= C8; intermediate[ 8] = 2*(temp1); temp1 = input[3]*C4; temp2 = input[13]*C12; temp2 -= temp1; temp2 = (temp2); temp2 *= C8; intermediate[ 9] = 2*(temp2); intermediate[10] = 2*(input[9]*C8); intermediate[11] = input[15] - input[1]; intermediate[12] = input[15] + input[1]; intermediate[13] = 2*((input[7]*C8)); temp1 = input[11]*C12; temp2 = input[5]*C4; temp2 -= temp1; temp2 = (temp2); temp2 *= C8; intermediate[14] = 2*(temp2); temp1 = input[11]*C4; temp2 = input[5]*C12; temp1 += temp2; temp1 = (temp1); temp1 *= C8; intermediate[15] = 2*(temp1); step[ 8] = intermediate[ 8] + intermediate[14]; step[ 9] = intermediate[ 9] + intermediate[15]; step[10] = intermediate[10] + intermediate[11]; step[11] = intermediate[10] - intermediate[11]; step[12] = intermediate[12] + intermediate[13]; step[13] = intermediate[12] - intermediate[13]; step[14] = intermediate[ 8] - intermediate[14]; step[15] = intermediate[ 9] - intermediate[15]; // step 3 output[0] = step[ 0] + step[ 3]; output[1] = step[ 1] + step[ 2]; output[2] = step[ 1] - step[ 2]; output[3] = step[ 0] - step[ 3]; temp1 = step[ 4]*C14; temp2 = step[ 7]*C2; temp1 -= temp2; output[4] = (temp1); temp1 = step[ 4]*C2; temp2 = step[ 7]*C14; temp1 += temp2; output[7] = (temp1); temp1 = step[ 5]*C10; temp2 = step[ 6]*C6; temp1 -= temp2; output[5] = (temp1); temp1 = step[ 5]*C6; temp2 = step[ 6]*C10; temp1 += temp2; output[6] = (temp1); output[8] = step[ 8] + step[11]; output[9] = step[ 9] + step[10]; output[10] = step[ 9] - step[10]; output[11] = step[ 8] - step[11]; output[12] = step[12] + step[15]; output[13] = step[13] + step[14]; output[14] = step[13] - step[14]; output[15] = step[12] - step[15]; // output 4 step[ 0] = output[0] + output[7]; step[ 1] = output[1] + output[6]; step[ 2] = output[2] + output[5]; step[ 3] = output[3] + output[4]; step[ 4] = output[3] - output[4]; step[ 5] = output[2] - output[5]; step[ 6] = output[1] - output[6]; step[ 7] = output[0] - output[7]; temp1 = output[8]*C7; temp2 = output[15]*C9; temp1 -= temp2; step[ 8] = (temp1); temp1 = output[9]*C11; temp2 = output[14]*C5; temp1 += temp2; step[ 9] = (temp1); temp1 = output[10]*C3; temp2 = output[13]*C13; temp1 -= temp2; step[10] = (temp1); temp1 = output[11]*C15; temp2 = output[12]*C1; temp1 += temp2; step[11] = (temp1); temp1 = output[11]*C1; temp2 = output[12]*C15; temp2 -= temp1; step[12] = (temp2); temp1 = output[10]*C13; temp2 = output[13]*C3; temp1 += temp2; step[13] = (temp1); temp1 = output[9]*C5; temp2 = output[14]*C11; temp2 -= temp1; step[14] = (temp2); temp1 = output[8]*C9; temp2 = output[15]*C7; temp1 += temp2; step[15] = (temp1); // step 5 output[0] = (step[0] + step[15]); output[1] = (step[1] + step[14]); output[2] = (step[2] + step[13]); output[3] = (step[3] + step[12]); output[4] = (step[4] + step[11]); output[5] = (step[5] + step[10]); output[6] = (step[6] + step[ 9]); output[7] = (step[7] + step[ 8]); output[15] = (step[0] - step[15]); output[14] = (step[1] - step[14]); output[13] = (step[2] - step[13]); output[12] = (step[3] - step[12]); output[11] = (step[4] - step[11]); output[10] = (step[5] - step[10]); output[9] = (step[6] - step[ 9]); output[8] = (step[7] - step[ 8]); } vp9_clear_system_state(); // Make it simd safe : __asm emms; } // Remove once an int version of iDCT is written #if 0 void reference_16x16_idct_1d(double input[16], double output[16]) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { const double kPi = 3.141592653589793238462643383279502884; const double kSqrt2 = 1.414213562373095048801688724209698; for (int k = 0; k < 16; k++) { output[k] = 0.0; for (int n = 0; n < 16; n++) { output[k] += input[n]*cos(kPi*(2*k+1)*n/32.0); if (n == 0) output[k] = output[k]/kSqrt2; } } } vp9_clear_system_state(); // Make it simd safe : __asm emms; } #endif void vp9_short_idct16x16_c(short *input, short *output, int pitch) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { double out[16*16], out2[16*16]; const int short_pitch = pitch >> 1; int i, j; // First transform rows for (i = 0; i < 16; ++i) { double temp_in[16], temp_out[16]; for (j = 0; j < 16; ++j) temp_in[j] = input[j + i*short_pitch]; butterfly_16x16_idct_1d(temp_in, temp_out); for (j = 0; j < 16; ++j) out[j + i*16] = temp_out[j]; } // Then transform columns for (i = 0; i < 16; ++i) { double temp_in[16], temp_out[16]; for (j = 0; j < 16; ++j) temp_in[j] = out[j*16 + i]; butterfly_16x16_idct_1d(temp_in, temp_out); for (j = 0; j < 16; ++j) out2[j*16 + i] = temp_out[j]; } for (i = 0; i < 16*16; ++i) output[i] = round(out2[i]/128); } vp9_clear_system_state(); // Make it simd safe : __asm emms; }