/* * 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. */ #include #include #include "./vpx_config.h" #include "vp9/common/vp9_systemdependent.h" #include "vp9/common/vp9_blockd.h" #include "vp9/common/vp9_idct.h" // TODO: these transforms can be converted into integer forms to reduce // the complexity static const float dct_4[16] = { 0.500000000000000, 0.500000000000000, 0.500000000000000, 0.500000000000000, 0.653281482438188, 0.270598050073099, -0.270598050073099, -0.653281482438188, 0.500000000000000, -0.500000000000000, -0.500000000000000, 0.500000000000000, 0.270598050073099, -0.653281482438188, 0.653281482438188, -0.270598050073099 }; static const float adst_4[16] = { 0.228013428883779, 0.428525073124360, 0.577350269189626, 0.656538502008139, 0.577350269189626, 0.577350269189626, 0.000000000000000, -0.577350269189626, 0.656538502008139, -0.228013428883779, -0.577350269189626, 0.428525073124359, 0.428525073124360, -0.656538502008139, 0.577350269189626, -0.228013428883779 }; static const float dct_8[64] = { 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.353553390593274, 0.490392640201615, 0.415734806151273, 0.277785116509801, 0.097545161008064, -0.097545161008064, -0.277785116509801, -0.415734806151273, -0.490392640201615, 0.461939766255643, 0.191341716182545, -0.191341716182545, -0.461939766255643, -0.461939766255643, -0.191341716182545, 0.191341716182545, 0.461939766255643, 0.415734806151273, -0.097545161008064, -0.490392640201615, -0.277785116509801, 0.277785116509801, 0.490392640201615, 0.097545161008064, -0.415734806151273, 0.353553390593274, -0.353553390593274, -0.353553390593274, 0.353553390593274, 0.353553390593274, -0.353553390593274, -0.353553390593274, 0.353553390593274, 0.277785116509801, -0.490392640201615, 0.097545161008064, 0.415734806151273, -0.415734806151273, -0.097545161008064, 0.490392640201615, -0.277785116509801, 0.191341716182545, -0.461939766255643, 0.461939766255643, -0.191341716182545, -0.191341716182545, 0.461939766255643, -0.461939766255643, 0.191341716182545, 0.097545161008064, -0.277785116509801, 0.415734806151273, -0.490392640201615, 0.490392640201615, -0.415734806151273, 0.277785116509801, -0.097545161008064 }; static const float adst_8[64] = { 0.089131608307533, 0.175227946595735, 0.255357107325376, 0.326790388032145, 0.387095214016349, 0.434217976756762, 0.466553967085785, 0.483002021635509, 0.255357107325376, 0.434217976756762, 0.483002021635509, 0.387095214016349, 0.175227946595735, -0.089131608307533, -0.326790388032145, -0.466553967085785, 0.387095214016349, 0.466553967085785, 0.175227946595735, -0.255357107325376, -0.483002021635509, -0.326790388032145, 0.089131608307533, 0.434217976756762, 0.466553967085785, 0.255357107325376, -0.326790388032145, -0.434217976756762, 0.089131608307533, 0.483002021635509, 0.175227946595735, -0.387095214016348, 0.483002021635509, -0.089131608307533, -0.466553967085785, 0.175227946595735, 0.434217976756762, -0.255357107325376, -0.387095214016348, 0.326790388032145, 0.434217976756762, -0.387095214016348, -0.089131608307533, 0.466553967085786, -0.326790388032145, -0.175227946595735, 0.483002021635509, -0.255357107325375, 0.326790388032145, -0.483002021635509, 0.387095214016349, -0.089131608307534, -0.255357107325377, 0.466553967085785, -0.434217976756762, 0.175227946595736, 0.175227946595735, -0.326790388032145, 0.434217976756762, -0.483002021635509, 0.466553967085785, -0.387095214016348, 0.255357107325376, -0.089131608307532 }; /* Converted the transforms to integers. */ static const int16_t dct_i4[16] = { 16384, 16384, 16384, 16384, 21407, 8867, -8867, -21407, 16384, -16384, -16384, 16384, 8867, -21407, 21407, -8867 }; static const int16_t adst_i4[16] = { 7472, 14042, 18919, 21513, 18919, 18919, 0, -18919, 21513, -7472, -18919, 14042, 14042, -21513, 18919, -7472 }; static const int16_t dct_i8[64] = { 11585, 11585, 11585, 11585, 11585, 11585, 11585, 11585, 16069, 13623, 9102, 3196, -3196, -9102, -13623, -16069, 15137, 6270, -6270, -15137, -15137, -6270, 6270, 15137, 13623, -3196, -16069, -9102, 9102, 16069, 3196, -13623, 11585, -11585, -11585, 11585, 11585, -11585, -11585, 11585, 9102, -16069, 3196, 13623, -13623, -3196, 16069, -9102, 6270, -15137, 15137, -6270, -6270, 15137, -15137, 6270, 3196, -9102, 13623, -16069, 16069, -13623, 9102, -3196 }; #if CONFIG_INTHT static const int16_t adst_i8[64] = { 1606, 4756, 7723, 10394, 12665, 14449, 15678, 16305, 4756, 12665, 16305, 14449, 7723, -1606, -10394, -15678, 7723, 16305, 10394, -4756, -15678, -12665, 1606, 14449, 10394, 14449, -4756, -16305, -1606, 15678, 7723, -12665, 12665, 7723, -15678, -1606, 16305, -4756, -14449, 10394, 14449, -1606, -12665, 15678, -4756, -10394, 16305, -7723, 15678, -10394, 1606, 7723, -14449, 16305, -12665, 4756, 16305, -15678, 14449, -12665, 10394, -7723, 4756, -1606 }; #else static const int16_t adst_i8[64] = { 2921, 5742, 8368, 10708, 12684, 14228, 15288, 15827, 8368, 14228, 15827, 12684, 5742, -2921, -10708, -15288, 12684, 15288, 5742, -8368, -15827, -10708, 2921, 14228, 15288, 8368, -10708, -14228, 2921, 15827, 5742, -12684, 15827, -2921, -15288, 5742, 14228, -8368, -12684, 10708, 14228, -12684, -2921, 15288, -10708, -5742, 15827, -8368, 10708, -15827, 12684, -2921, -8368, 15288, -14228, 5742, 5742, -10708, 14228, -15827, 15288, -12684, 8368, -2921 }; #endif static const float dct_16[256] = { 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.250000, 0.351851, 0.338330, 0.311806, 0.273300, 0.224292, 0.166664, 0.102631, 0.034654, -0.034654, -0.102631, -0.166664, -0.224292, -0.273300, -0.311806, -0.338330, -0.351851, 0.346760, 0.293969, 0.196424, 0.068975, -0.068975, -0.196424, -0.293969, -0.346760, -0.346760, -0.293969, -0.196424, -0.068975, 0.068975, 0.196424, 0.293969, 0.346760, 0.338330, 0.224292, 0.034654, -0.166664, -0.311806, -0.351851, -0.273300, -0.102631, 0.102631, 0.273300, 0.351851, 0.311806, 0.166664, -0.034654, -0.224292, -0.338330, 0.326641, 0.135299, -0.135299, -0.326641, -0.326641, -0.135299, 0.135299, 0.326641, 0.326641, 0.135299, -0.135299, -0.326641, -0.326641, -0.135299, 0.135299, 0.326641, 0.311806, 0.034654, -0.273300, -0.338330, -0.102631, 0.224292, 0.351851, 0.166664, -0.166664, -0.351851, -0.224292, 0.102631, 0.338330, 0.273300, -0.034654, -0.311806, 0.293969, -0.068975, -0.346760, -0.196424, 0.196424, 0.346760, 0.068975, -0.293969, -0.293969, 0.068975, 0.346760, 0.196424, -0.196424, -0.346760, -0.068975, 0.293969, 0.273300, -0.166664, -0.338330, 0.034654, 0.351851, 0.102631, -0.311806, -0.224292, 0.224292, 0.311806, -0.102631, -0.351851, -0.034654, 0.338330, 0.166664, -0.273300, 0.250000, -0.250000, -0.250000, 0.250000, 0.250000, -0.250000, -0.250000, 0.250000, 0.250000, -0.250000, -0.250000, 0.250000, 0.250000, -0.250000, -0.250000, 0.250000, 0.224292, -0.311806, -0.102631, 0.351851, -0.034654, -0.338330, 0.166664, 0.273300, -0.273300, -0.166664, 0.338330, 0.034654, -0.351851, 0.102631, 0.311806, -0.224292, 0.196424, -0.346760, 0.068975, 0.293969, -0.293969, -0.068975, 0.346760, -0.196424, -0.196424, 0.346760, -0.068975, -0.293969, 0.293969, 0.068975, -0.346760, 0.196424, 0.166664, -0.351851, 0.224292, 0.102631, -0.338330, 0.273300, 0.034654, -0.311806, 0.311806, -0.034654, -0.273300, 0.338330, -0.102631, -0.224292, 0.351851, -0.166664, 0.135299, -0.326641, 0.326641, -0.135299, -0.135299, 0.326641, -0.326641, 0.135299, 0.135299, -0.326641, 0.326641, -0.135299, -0.135299, 0.326641, -0.326641, 0.135299, 0.102631, -0.273300, 0.351851, -0.311806, 0.166664, 0.034654, -0.224292, 0.338330, -0.338330, 0.224292, -0.034654, -0.166664, 0.311806, -0.351851, 0.273300, -0.102631, 0.068975, -0.196424, 0.293969, -0.346760, 0.346760, -0.293969, 0.196424, -0.068975, -0.068975, 0.196424, -0.293969, 0.346760, -0.346760, 0.293969, -0.196424, 0.068975, 0.034654, -0.102631, 0.166664, -0.224292, 0.273300, -0.311806, 0.338330, -0.351851, 0.351851, -0.338330, 0.311806, -0.273300, 0.224292, -0.166664, 0.102631, -0.034654 }; static const float adst_16[256] = { 0.033094, 0.065889, 0.098087, 0.129396, 0.159534, 0.188227, 0.215215, 0.240255, 0.263118, 0.283599, 0.301511, 0.316693, 0.329007, 0.338341, 0.344612, 0.347761, 0.098087, 0.188227, 0.263118, 0.316693, 0.344612, 0.344612, 0.316693, 0.263118, 0.188227, 0.098087, 0.000000, -0.098087, -0.188227, -0.263118, -0.316693, -0.344612, 0.159534, 0.283599, 0.344612, 0.329007, 0.240255, 0.098087, -0.065889, -0.215215, -0.316693, -0.347761, -0.301511, -0.188227, -0.033094, 0.129396, 0.263118, 0.338341, 0.215215, 0.338341, 0.316693, 0.159534, -0.065889, -0.263118, -0.347761, -0.283599, -0.098087, 0.129396, 0.301511, 0.344612, 0.240255, 0.033094, -0.188227, -0.329007, 0.263118, 0.344612, 0.188227, -0.098087, -0.316693, -0.316693, -0.098087, 0.188227, 0.344612, 0.263118, 0.000000, -0.263118, -0.344612, -0.188227, 0.098087, 0.316693, 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, 0.000000, -0.301511, 0.329007, 0.215215, -0.188227, -0.338341, -0.033094, 0.316693, 0.240255, -0.159534, -0.344612, -0.065889, 0.301511, 0.263118, -0.129396, -0.347761, -0.098087, 0.283599, 0.344612, 0.098087, -0.316693, -0.188227, 0.263118, 0.263118, -0.188227, -0.316693, 0.098087, 0.344612, 0.000000, -0.344612, -0.098087, 0.316693, 0.188227, -0.263118, 0.347761, -0.033094, -0.344612, 0.065889, 0.338341, -0.098087, -0.329007, 0.129396, 0.316693, -0.159534, -0.301511, 0.188227, 0.283599, -0.215215, -0.263118, 0.240255, 0.338341, -0.159534, -0.263118, 0.283599, 0.129396, -0.344612, 0.033094, 0.329007, -0.188227, -0.240255, 0.301511, 0.098087, -0.347761, 0.065889, 0.316693, -0.215215, 0.316693, -0.263118, -0.098087, 0.344612, -0.188227, -0.188227, 0.344612, -0.098087, -0.263118, 0.316693, 0.000000, -0.316693, 0.263118, 0.098087, -0.344612, 0.188227, 0.283599, -0.329007, 0.098087, 0.215215, -0.347761, 0.188227, 0.129396, -0.338341, 0.263118, 0.033094, -0.301511, 0.316693, -0.065889, -0.240255, 0.344612, -0.159534, 0.240255, -0.347761, 0.263118, -0.033094, -0.215215, 0.344612, -0.283599, 0.065889, 0.188227, -0.338341, 0.301511, -0.098087, -0.159534, 0.329007, -0.316693, 0.129396, 0.188227, -0.316693, 0.344612, -0.263118, 0.098087, 0.098087, -0.263118, 0.344612, -0.316693, 0.188227, 0.000000, -0.188227, 0.316693, -0.344612, 0.263118, -0.098087, 0.129396, -0.240255, 0.316693, -0.347761, 0.329007, -0.263118, 0.159534, -0.033094, -0.098087, 0.215215, -0.301511, 0.344612, -0.338341, 0.283599, -0.188227, 0.065889, 0.065889, -0.129396, 0.188227, -0.240255, 0.283599, -0.316693, 0.338341, -0.347761, 0.344612, -0.329007, 0.301511, -0.263118, 0.215215, -0.159534, 0.098087, -0.033094 }; /* Converted the transforms to integers. */ static const int16_t dct_i16[256] = { 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 11529, 11086, 10217, 8955, 7350, 5461, 3363, 1136, -1136, -3363, -5461, -7350, -8955, -10217, -11086, -11529, 11363, 9633, 6436, 2260, -2260, -6436, -9633, -11363, -11363, -9633, -6436, -2260, 2260, 6436, 9633, 11363, 11086, 7350, 1136, -5461, -10217, -11529, -8955, -3363, 3363, 8955, 11529, 10217, 5461, -1136, -7350, -11086, 10703, 4433, -4433, -10703, -10703, -4433, 4433, 10703, 10703, 4433, -4433, -10703, -10703, -4433, 4433, 10703, 10217, 1136, -8955, -11086, -3363, 7350, 11529, 5461, -5461, -11529, -7350, 3363, 11086, 8955, -1136, -10217, 9633, -2260, -11363, -6436, 6436, 11363, 2260, -9633, -9633, 2260, 11363, 6436, -6436, -11363, -2260, 9633, 8955, -5461, -11086, 1136, 11529, 3363, -10217, -7350, 7350, 10217, -3363, -11529, -1136, 11086, 5461, -8955, 8192, -8192, -8192, 8192, 8192, -8192, -8192, 8192, 8192, -8192, -8192, 8192, 8192, -8192, -8192, 8192, 7350, -10217, -3363, 11529, -1136, -11086, 5461, 8955, -8955, -5461, 11086, 1136, -11529, 3363, 10217, -7350, 6436, -11363, 2260, 9633, -9633, -2260, 11363, -6436, -6436, 11363, -2260, -9633, 9633, 2260, -11363, 6436, 5461, -11529, 7350, 3363, -11086, 8955, 1136, -10217, 10217, -1136, -8955, 11086, -3363, -7350, 11529, -5461, 4433, -10703, 10703, -4433, -4433, 10703, -10703, 4433, 4433, -10703, 10703, -4433, -4433, 10703, -10703, 4433, 3363, -8955, 11529, -10217, 5461, 1136, -7350, 11086, -11086, 7350, -1136, -5461, 10217, -11529, 8955, -3363, 2260, -6436, 9633, -11363, 11363, -9633, 6436, -2260, -2260, 6436, -9633, 11363, -11363, 9633, -6436, 2260, 1136, -3363, 5461, -7350, 8955, -10217, 11086, -11529, 11529, -11086, 10217, -8955, 7350, -5461, 3363, -1136 }; #if CONFIG_INTHT static const int16_t adst_i16[256] = { 568, 1700, 2815, 3903, 4953, 5956, 6901, 7780, 8584, 9305, 9937, 10473, 10908, 11238, 11459, 11571, 1700, 4953, 7780, 9937, 11238, 11571, 10908, 9305, 6901, 3903, 568, -2815, -5956, -8584, -10473, -11459, 2815, 7780, 10908, 11459, 9305, 4953, -568, -5956, -9937, -11571, -10473, -6901, -1700, 3903, 8584, 11238, 3903, 9937, 11459, 7780, 568, -6901, -11238, -10473, -4953, 2815, 9305, 11571, 8584, 1700, -5956, -10908, 4953, 11238, 9305, 568, -8584, -11459, -5956, 3903, 10908, 9937, 1700, -7780, -11571, -6901, 2815, 10473, 5956, 11571, 4953, -6901, -11459, -3903, 7780, 11238, 2815, -8584, -10908, -1700, 9305, 10473, 568, -9937, 6901, 10908, -568, -11238, -5956, 7780, 10473, -1700, -11459, -4953, 8584, 9937, -2815, -11571, -3903, 9305, 7780, 9305, -5956, -10473, 3903, 11238, -1700, -11571, -568, 11459, 2815, -10908, -4953, 9937, 6901, -8584, 8584, 6901, -9937, -4953, 10908, 2815, -11459, -568, 11571, -1700, -11238, 3903, 10473, -5956, -9305, 7780, 9305, 3903, -11571, 2815, 9937, -8584, -4953, 11459, -1700, -10473, 7780, 5956, -11238, 568, 10908, -6901, 9937, 568, -10473, 9305, 1700, -10908, 8584, 2815, -11238, 7780, 3903, -11459, 6901, 4953, -11571, 5956, 10473, -2815, -6901, 11571, -7780, -1700, 9937, -10908, 3903, 5956, -11459, 8584, 568, -9305, 11238, -4953, 10908, -5956, -1700, 8584, -11571, 9305, -2815, -4953, 10473, -11238, 6901, 568, -7780, 11459, -9937, 3903, 11238, -8584, 3903, 1700, -6901, 10473, -11571, 9937, -5956, 568, 4953, -9305, 11459, -10908, 7780, -2815, 11459, -10473, 8584, -5956, 2815, 568, -3903, 6901, -9305, 10908, -11571, 11238, -9937, 7780, -4953, 1700, 11571, -11459, 11238, -10908, 10473, -9937, 9305, -8584, 7780, -6901, 5956, -4953, 3903, -2815, 1700, -568 }; #else static const int16_t adst_i16[256] = { 1084, 2159, 3214, 4240, 5228, 6168, 7052, 7873, 8622, 9293, 9880, 10377, 10781, 11087, 11292, 11395, 3214, 6168, 8622, 10377, 11292, 11292, 10377, 8622, 6168, 3214, 0, -3214, -6168, -8622, -10377, -11292, 5228, 9293, 11292, 10781, 7873, 3214, -2159, -7052, -10377, -11395, -9880, -6168, -1084, 4240, 8622, 11087, 7052, 11087, 10377, 5228, -2159, -8622, -11395, -9293, -3214, 4240, 9880, 11292, 7873, 1084, -6168, -10781, 8622, 11292, 6168, -3214, -10377, -10377, -3214, 6168, 11292, 8622, 0, -8622, -11292, -6168, 3214, 10377, 9880, 9880, 0, -9880, -9880, 0, 9880, 9880, 0, -9880, -9880, 0, 9880, 9880, 0, -9880, 10781, 7052, -6168, -11087, -1084, 10377, 7873, -5228, -11292, -2159, 9880, 8622, -4240, -11395, -3214, 9293, 11292, 3214, -10377, -6168, 8622, 8622, -6168, -10377, 3214, 11292, 0, -11292, -3214, 10377, 6168, -8622, 11395, -1084, -11292, 2159, 11087, -3214, -10781, 4240, 10377, -5228, -9880, 6168, 9293, -7052, -8622, 7873, 11087, -5228, -8622, 9293, 4240, -11292, 1084, 10781, -6168, -7873, 9880, 3214, -11395, 2159, 10377, -7052, 10377, -8622, -3214, 11292, -6168, -6168, 11292, -3214, -8622, 10377, 0, -10377, 8622, 3214, -11292, 6168, 9293, -10781, 3214, 7052, -11395, 6168, 4240, -11087, 8622, 1084, -9880, 10377, -2159, -7873, 11292, -5228, 7873, -11395, 8622, -1084, -7052, 11292, -9293, 2159, 6168, -11087, 9880, -3214, -5228, 10781, -10377, 4240, 6168, -10377, 11292, -8622, 3214, 3214, -8622, 11292, -10377, 6168, 0, -6168, 10377, -11292, 8622, -3214, 4240, -7873, 10377, -11395, 10781, -8622, 5228, -1084, -3214, 7052, -9880, 11292, -11087, 9293, -6168, 2159, 2159, -4240, 6168, -7873, 9293, -10377, 11087, -11395, 11292, -10781, 9880, -8622, 7052, -5228, 3214, -1084 }; #endif #define NEW_FDCT8x8 1 #if !NEW_FDCT8x8 static const int xC1S7 = 16069; static const int xC2S6 = 15137; static const int xC3S5 = 13623; static const int xC4S4 = 11585; static const int xC5S3 = 9102; static const int xC6S2 = 6270; static const int xC7S1 = 3196; #define SHIFT_BITS 14 #define DOROUND(X) X += (1<<(SHIFT_BITS-1)); #define FINAL_SHIFT 3 #define FINAL_ROUNDING (1<<(FINAL_SHIFT -1)) #define IN_SHIFT (FINAL_SHIFT+1) void vp9_short_fdct8x8_c(short *InputData, short *OutputData, int pitch) { int loop; int short_pitch = pitch >> 1; int is07, is12, is34, is56; int is0734, is1256; int id07, id12, id34, id56; int irot_input_x, irot_input_y; int icommon_product1; // Re-used product (c4s4 * (s12 - s56)) int icommon_product2; // Re-used product (c4s4 * (d12 + d56)) int temp1, temp2; // intermediate variable for computation int InterData[64]; int *ip = InterData; short *op = OutputData; for (loop = 0; loop < 8; loop++) { // Pre calculate some common sums and differences. is07 = (InputData[0] + InputData[7]) << IN_SHIFT; is12 = (InputData[1] + InputData[2]) << IN_SHIFT; is34 = (InputData[3] + InputData[4]) << IN_SHIFT; is56 = (InputData[5] + InputData[6]) << IN_SHIFT; id07 = (InputData[0] - InputData[7]) << IN_SHIFT; id12 = (InputData[1] - InputData[2]) << IN_SHIFT; id34 = (InputData[3] - InputData[4]) << IN_SHIFT; id56 = (InputData[5] - InputData[6]) << IN_SHIFT; is0734 = is07 + is34; is1256 = is12 + is56; // Pre-Calculate some common product terms. icommon_product1 = xC4S4 * (is12 - is56); DOROUND(icommon_product1) icommon_product1 >>= SHIFT_BITS; icommon_product2 = xC4S4 * (id12 + id56); DOROUND(icommon_product2) icommon_product2 >>= SHIFT_BITS; ip[0] = (xC4S4 * (is0734 + is1256)); DOROUND(ip[0]); ip[0] >>= SHIFT_BITS; ip[4] = (xC4S4 * (is0734 - is1256)); DOROUND(ip[4]); ip[4] >>= SHIFT_BITS; // Define inputs to rotation for outputs 2 and 6 irot_input_x = id12 - id56; irot_input_y = is07 - is34; // Apply rotation for outputs 2 and 6. temp1 = xC6S2 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC2S6 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[2] = temp1 + temp2; temp1 = xC6S2 * irot_input_y; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC2S6 * irot_input_x; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[6] = temp1 - temp2; // Define inputs to rotation for outputs 1 and 7 irot_input_x = icommon_product1 + id07; irot_input_y = -(id34 + icommon_product2); // Apply rotation for outputs 1 and 7. temp1 = xC1S7 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC7S1 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[1] = temp1 - temp2; temp1 = xC7S1 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC1S7 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[7] = temp1 + temp2; // Define inputs to rotation for outputs 3 and 5 irot_input_x = id07 - icommon_product1; irot_input_y = id34 - icommon_product2; // Apply rotation for outputs 3 and 5. temp1 = xC3S5 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC5S3 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[3] = temp1 - temp2; temp1 = xC5S3 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC3S5 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; ip[5] = temp1 + temp2; // Increment data pointer for next row InputData += short_pitch; ip += 8; } // Performed DCT on rows, now transform the columns ip = InterData; for (loop = 0; loop < 8; loop++) { // Pre calculate some common sums and differences. is07 = ip[0 * 8] + ip[7 * 8]; is12 = ip[1 * 8] + ip[2 * 8]; is34 = ip[3 * 8] + ip[4 * 8]; is56 = ip[5 * 8] + ip[6 * 8]; id07 = ip[0 * 8] - ip[7 * 8]; id12 = ip[1 * 8] - ip[2 * 8]; id34 = ip[3 * 8] - ip[4 * 8]; id56 = ip[5 * 8] - ip[6 * 8]; is0734 = is07 + is34; is1256 = is12 + is56; // Pre-Calculate some common product terms icommon_product1 = xC4S4 * (is12 - is56); icommon_product2 = xC4S4 * (id12 + id56); DOROUND(icommon_product1) DOROUND(icommon_product2) icommon_product1 >>= SHIFT_BITS; icommon_product2 >>= SHIFT_BITS; temp1 = xC4S4 * (is0734 + is1256); temp2 = xC4S4 * (is0734 - is1256); DOROUND(temp1); DOROUND(temp2); temp1 >>= SHIFT_BITS; temp2 >>= SHIFT_BITS; op[0 * 8] = (temp1 + FINAL_ROUNDING) >> FINAL_SHIFT; op[4 * 8] = (temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; // Define inputs to rotation for outputs 2 and 6 irot_input_x = id12 - id56; irot_input_y = is07 - is34; // Apply rotation for outputs 2 and 6. temp1 = xC6S2 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC2S6 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[2 * 8] = (temp1 + temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; temp1 = xC6S2 * irot_input_y; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC2S6 * irot_input_x; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[6 * 8] = (temp1 - temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; // Define inputs to rotation for outputs 1 and 7 irot_input_x = icommon_product1 + id07; irot_input_y = -(id34 + icommon_product2); // Apply rotation for outputs 1 and 7. temp1 = xC1S7 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC7S1 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[1 * 8] = (temp1 - temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; temp1 = xC7S1 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC1S7 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[7 * 8] = (temp1 + temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; // Define inputs to rotation for outputs 3 and 5 irot_input_x = id07 - icommon_product1; irot_input_y = id34 - icommon_product2; // Apply rotation for outputs 3 and 5. temp1 = xC3S5 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC5S3 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[3 * 8] = (temp1 - temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; temp1 = xC5S3 * irot_input_x; DOROUND(temp1); temp1 >>= SHIFT_BITS; temp2 = xC3S5 * irot_input_y; DOROUND(temp2); temp2 >>= SHIFT_BITS; op[5 * 8] = (temp1 + temp2 + FINAL_ROUNDING) >> FINAL_SHIFT; // Increment data pointer for next column. ip++; op++; } } #endif /* For test */ #define TEST_INT 1 #if TEST_INT #define vp9_fht_int_c vp9_fht_c #else #define vp9_fht_float_c vp9_fht_c #endif void vp9_fht_float_c(const int16_t *input, int pitch, int16_t *output, 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; 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 += pitch / 2; } // vertical transformation pfa = &bufa[0]; pfb = &bufb[0]; switch (tx_type) { case ADST_ADST : case ADST_DCT : ptv = (tx_dim == 4) ? &adst_4[0] : ((tx_dim == 8) ? &adst_8[0] : &adst_16[0]); break; default : ptv = (tx_dim == 4) ? &dct_4[0] : ((tx_dim == 8) ? &dct_8[0] : &dct_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) ? &adst_4[0] : ((tx_dim == 8) ? &adst_8[0] : &adst_16[0]); break; default : pth = (tx_dim == 4) ? &dct_4[0] : ((tx_dim == 8) ? &dct_8[0] : &dct_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; // pth -= tx_dim * tx_dim; switch (tx_type) { case ADST_ADST : case DCT_ADST : pth = (tx_dim == 4) ? &adst_4[0] : ((tx_dim == 8) ? &adst_8[0] : &adst_16[0]); break; default : pth = (tx_dim == 4) ? &dct_4[0] : ((tx_dim == 8) ? &dct_8[0] : &dct_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)( 8 * pfa[i] + 0.49) : -(int16_t)(- 8 * pfa[i] + 0.49); } op += tx_dim; pfa += tx_dim; } } vp9_clear_system_state(); // Make it simd safe : __asm emms; } /* Converted the transforms to integer form. */ #define VERTICAL_SHIFT 11 #define VERTICAL_ROUNDING ((1 << (VERTICAL_SHIFT - 1)) - 1) #define HORIZONTAL_SHIFT 16 #define HORIZONTAL_ROUNDING ((1 << (HORIZONTAL_SHIFT - 1)) - 1) void vp9_fht_int_c(const int16_t *input, int pitch, int16_t *output, 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; switch (tx_type) { case ADST_ADST : ptv = pth = (tx_dim == 4) ? &adst_i4[0] : ((tx_dim == 8) ? &adst_i8[0] : &adst_i16[0]); break; case ADST_DCT : ptv = (tx_dim == 4) ? &adst_i4[0] : ((tx_dim == 8) ? &adst_i8[0] : &adst_i16[0]); pth = (tx_dim == 4) ? &dct_i4[0] : ((tx_dim == 8) ? &dct_i8[0] : &dct_i16[0]); break; case DCT_ADST : ptv = (tx_dim == 4) ? &dct_i4[0] : ((tx_dim == 8) ? &dct_i8[0] : &dct_i16[0]); pth = (tx_dim == 4) ? &adst_i4[0] : ((tx_dim == 8) ? &adst_i8[0] : &adst_i16[0]); break; case DCT_DCT : ptv = pth = (tx_dim == 4) ? &dct_i4[0] : ((tx_dim == 8) ? &dct_i8[0] : &dct_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 * (pitch >> 1))]; } 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 += tx_dim; } } static void fdct4_1d(int16_t *input, int16_t *output) { int16_t step[4]; int temp1, temp2; step[0] = input[0] + input[3]; step[1] = input[1] + input[2]; step[2] = input[1] - input[2]; step[3] = input[0] - input[3]; temp1 = (step[0] + step[1]) * cospi_16_64; temp2 = (step[0] - step[1]) * cospi_16_64; output[0] = dct_const_round_shift(temp1); output[2] = dct_const_round_shift(temp2); temp1 = step[2] * cospi_24_64 + step[3] * cospi_8_64; temp2 = -step[2] * cospi_8_64 + step[3] * cospi_24_64; output[1] = dct_const_round_shift(temp1); output[3] = dct_const_round_shift(temp2); } void vp9_short_fdct4x4_c(short *input, short *output, int pitch) { int16_t out[4 * 4]; int16_t *outptr = &out[0]; const int short_pitch = pitch >> 1; int i, j; int16_t temp_in[4], temp_out[4]; // First transform cols for (i = 0; i < 4; ++i) { for (j = 0; j < 4; ++j) temp_in[j] = input[j * short_pitch + i] << 4; if (i == 0 && temp_in[0]) temp_in[0] += 1; fdct4_1d(temp_in, temp_out); for (j = 0; j < 4; ++j) outptr[j * 4 + i] = temp_out[j]; } for (i = 0; i < 4; ++i) { for (j = 0; j < 4; ++j) temp_in[j] = out[j + i * 4]; fdct4_1d(temp_in, temp_out); for (j = 0; j < 4; ++j) output[j + i * 4] = (temp_out[j] + 1) >> 2; } } void vp9_short_fdct8x4_c(short *input, short *output, int pitch) { vp9_short_fdct4x4_c(input, output, pitch); vp9_short_fdct4x4_c(input + 4, output + 16, pitch); } #if NEW_FDCT8x8 static void fdct8_1d(int16_t *input, int16_t *output) { int16_t step[8]; int temp1, temp2; // stage 1 step[0] = input[0] + input[7]; step[1] = input[1] + input[6]; step[2] = input[2] + input[5]; step[3] = input[3] + input[4]; step[4] = input[3] - input[4]; step[5] = input[2] - input[5]; step[6] = input[1] - input[6]; step[7] = input[0] - input[7]; fdct4_1d(step, step); // Stage 2 output[4] = step[4]; temp1 = (-step[5] + step[6]) * cospi_16_64; temp2 = (step[6] + step[5]) * cospi_16_64; output[5] = dct_const_round_shift(temp1); output[6] = dct_const_round_shift(temp2); output[7] = step[7]; // Stage 3 step[4] = output[4] + output[5]; step[5] = -output[5] + output[4]; step[6] = -output[6] + output[7]; step[7] = output[7] + output[6]; // Stage 4 output[0] = step[0]; output[4] = step[2]; output[2] = step[1]; output[6] = step[3]; temp1 = step[4] * cospi_28_64 + step[7] * cospi_4_64; temp2 = step[5] * cospi_12_64 + step[6] * cospi_20_64; output[1] = dct_const_round_shift(temp1); output[5] = dct_const_round_shift(temp2); temp1 = step[6] * cospi_12_64 + step[5] * -cospi_20_64; temp2 = step[7] * cospi_28_64 + step[4] * -cospi_4_64; output[3] = dct_const_round_shift(temp1); output[7] = dct_const_round_shift(temp2); } void vp9_short_fdct8x8_c(int16_t *input, int16_t *output, int pitch) { int shortpitch = pitch >> 1; int i, j; int16_t out[64]; int16_t temp_in[8], temp_out[8]; // First transform columns for (i = 0; i < 8; i++) { for (j = 0; j < 8; j++) temp_in[j] = input[j * shortpitch + i] << 2; fdct8_1d(temp_in, temp_out); for (j = 0; j < 8; j++) out[j * 8 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 8; ++i) { for (j = 0; j < 8; ++j) temp_in[j] = out[j + i * 8]; fdct8_1d(temp_in, temp_out); for (j = 0; j < 8; ++j) output[j + i * 8] = temp_out[j] >> 1; } } #endif #if CONFIG_LOSSLESS void vp9_short_walsh4x4_x8_c(short *input, short *output, int pitch) { int i; int a1, b1, c1, d1; short *ip = input; short *op = output; int pitch_short = pitch >> 1; for (i = 0; i < 4; i++) { a1 = ip[0 * pitch_short] + ip[3 * pitch_short]; b1 = ip[1 * pitch_short] + ip[2 * pitch_short]; c1 = ip[1 * pitch_short] - ip[2 * pitch_short]; d1 = ip[0 * pitch_short] - ip[3 * pitch_short]; op[0] = (a1 + b1 + 1) >> 1; op[4] = (c1 + d1) >> 1; op[8] = (a1 - b1) >> 1; op[12] = (d1 - c1) >> 1; ip++; op++; } ip = output; 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) << WHT_UPSCALE_FACTOR; op[1] = ((c1 + d1) >> 1) << WHT_UPSCALE_FACTOR; op[2] = ((a1 - b1) >> 1) << WHT_UPSCALE_FACTOR; op[3] = ((d1 - c1) >> 1) << WHT_UPSCALE_FACTOR; ip += 4; op += 4; } } void vp9_short_walsh8x4_x8_c(short *input, short *output, int pitch) { vp9_short_walsh4x4_x8_c(input, output, pitch); vp9_short_walsh4x4_x8_c(input + 4, output + 16, pitch); } #endif #define TEST_INT_16x16_DCT 1 #if !TEST_INT_16x16_DCT static void dct16x16_1d(double input[16], double output[16]) { 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; vp9_clear_system_state(); // Make it simd safe : __asm emms; { double step[16]; double intermediate[16]; double temp1, temp2; // step 1 step[ 0] = input[0] + input[15]; step[ 1] = input[1] + input[14]; step[ 2] = input[2] + input[13]; step[ 3] = input[3] + input[12]; step[ 4] = input[4] + input[11]; step[ 5] = input[5] + input[10]; step[ 6] = input[6] + input[ 9]; step[ 7] = input[7] + input[ 8]; step[ 8] = input[7] - input[ 8]; step[ 9] = input[6] - input[ 9]; step[10] = input[5] - input[10]; step[11] = input[4] - input[11]; step[12] = input[3] - input[12]; step[13] = input[2] - input[13]; step[14] = input[1] - input[14]; step[15] = input[0] - input[15]; // step 2 output[0] = step[0] + step[7]; output[1] = step[1] + step[6]; output[2] = step[2] + step[5]; output[3] = step[3] + step[4]; output[4] = step[3] - step[4]; output[5] = step[2] - step[5]; output[6] = step[1] - step[6]; output[7] = step[0] - step[7]; temp1 = step[ 8]*C7; temp2 = step[15]*C9; output[ 8] = temp1 + temp2; temp1 = step[ 9]*C11; temp2 = step[14]*C5; output[ 9] = temp1 - temp2; temp1 = step[10]*C3; temp2 = step[13]*C13; output[10] = temp1 + temp2; temp1 = step[11]*C15; temp2 = step[12]*C1; output[11] = temp1 - temp2; temp1 = step[11]*C1; temp2 = step[12]*C15; output[12] = temp2 + temp1; temp1 = step[10]*C13; temp2 = step[13]*C3; output[13] = temp2 - temp1; temp1 = step[ 9]*C5; temp2 = step[14]*C11; output[14] = temp2 + temp1; temp1 = step[ 8]*C9; temp2 = step[15]*C7; output[15] = temp2 - temp1; // step 3 step[ 0] = output[0] + output[3]; step[ 1] = output[1] + output[2]; step[ 2] = output[1] - output[2]; step[ 3] = output[0] - output[3]; temp1 = output[4]*C14; temp2 = output[7]*C2; step[ 4] = temp1 + temp2; temp1 = output[5]*C10; temp2 = output[6]*C6; step[ 5] = temp1 + temp2; temp1 = output[5]*C6; temp2 = output[6]*C10; step[ 6] = temp2 - temp1; temp1 = output[4]*C2; temp2 = output[7]*C14; step[ 7] = temp2 - temp1; step[ 8] = output[ 8] + output[11]; step[ 9] = output[ 9] + output[10]; step[10] = output[ 9] - output[10]; step[11] = output[ 8] - output[11]; step[12] = output[12] + output[15]; step[13] = output[13] + output[14]; step[14] = output[13] - output[14]; step[15] = output[12] - output[15]; // step 4 output[ 0] = (step[ 0] + step[ 1]); output[ 8] = (step[ 0] - step[ 1]); temp1 = step[2]*C12; temp2 = step[3]*C4; temp1 = temp1 + temp2; output[ 4] = 2*(temp1*C8); temp1 = step[2]*C4; temp2 = step[3]*C12; temp1 = temp2 - temp1; output[12] = 2*(temp1*C8); output[ 2] = 2*((step[4] + step[ 5])*C8); output[14] = 2*((step[7] - step[ 6])*C8); temp1 = step[4] - step[5]; temp2 = step[6] + step[7]; output[ 6] = (temp1 + temp2); output[10] = (temp1 - temp2); intermediate[8] = step[8] + step[14]; intermediate[9] = step[9] + step[15]; temp1 = intermediate[8]*C12; temp2 = intermediate[9]*C4; temp1 = temp1 - temp2; output[3] = 2*(temp1*C8); temp1 = intermediate[8]*C4; temp2 = intermediate[9]*C12; temp1 = temp2 + temp1; output[13] = 2*(temp1*C8); output[ 9] = 2*((step[10] + step[11])*C8); intermediate[11] = step[10] - step[11]; intermediate[12] = step[12] + step[13]; intermediate[13] = step[12] - step[13]; intermediate[14] = step[ 8] - step[14]; intermediate[15] = step[ 9] - step[15]; output[15] = (intermediate[11] + intermediate[12]); output[ 1] = -(intermediate[11] - intermediate[12]); output[ 7] = 2*(intermediate[13]*C8); temp1 = intermediate[14]*C12; temp2 = intermediate[15]*C4; temp1 = temp1 - temp2; output[11] = -2*(temp1*C8); temp1 = intermediate[14]*C4; temp2 = intermediate[15]*C12; temp1 = temp2 + temp1; output[ 5] = 2*(temp1*C8); } vp9_clear_system_state(); // Make it simd safe : __asm emms; } void vp9_short_fdct16x16_c(short *input, short *out, int pitch) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { int shortpitch = pitch >> 1; int i, j; double output[256]; // First transform columns for (i = 0; i < 16; i++) { double temp_in[16], temp_out[16]; for (j = 0; j < 16; j++) temp_in[j] = input[j*shortpitch + i]; dct16x16_1d(temp_in, temp_out); for (j = 0; j < 16; j++) output[j*16 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 16; ++i) { double temp_in[16], temp_out[16]; for (j = 0; j < 16; ++j) temp_in[j] = output[j + i*16]; dct16x16_1d(temp_in, temp_out); for (j = 0; j < 16; ++j) output[j + i*16] = temp_out[j]; } // Scale by some magic number for (i = 0; i < 256; i++) out[i] = (short)round(output[i]/2); } vp9_clear_system_state(); // Make it simd safe : __asm emms; } #else #define NEW_FDCT16 1 #if !NEW_FDCT16 static const int16_t C1 = 16305; static const int16_t C2 = 16069; static const int16_t C3 = 15679; static const int16_t C4 = 15137; static const int16_t C5 = 14449; static const int16_t C6 = 13623; static const int16_t C7 = 12665; static const int16_t C8 = 11585; static const int16_t C9 = 10394; static const int16_t C10 = 9102; static const int16_t C11 = 7723; static const int16_t C12 = 6270; static const int16_t C13 = 4756; static const int16_t C14 = 3196; static const int16_t C15 = 1606; #define RIGHT_SHIFT 14 #define ROUNDING (1 << (RIGHT_SHIFT - 1)) static void dct16x16_1d(int16_t input[16], int16_t output[16], int last_shift_bits) { int16_t step[16]; int intermediate[16]; int temp1, temp2; int final_shift = RIGHT_SHIFT; int final_rounding = ROUNDING; int output_shift = 0; int output_rounding = 0; final_shift += last_shift_bits; if (final_shift > 0) final_rounding = 1 << (final_shift - 1); output_shift += last_shift_bits; if (output_shift > 0) output_rounding = 1 << (output_shift - 1); // step 1 step[ 0] = input[0] + input[15]; step[ 1] = input[1] + input[14]; step[ 2] = input[2] + input[13]; step[ 3] = input[3] + input[12]; step[ 4] = input[4] + input[11]; step[ 5] = input[5] + input[10]; step[ 6] = input[6] + input[ 9]; step[ 7] = input[7] + input[ 8]; step[ 8] = input[7] - input[ 8]; step[ 9] = input[6] - input[ 9]; step[10] = input[5] - input[10]; step[11] = input[4] - input[11]; step[12] = input[3] - input[12]; step[13] = input[2] - input[13]; step[14] = input[1] - input[14]; step[15] = input[0] - input[15]; // step 2 output[0] = step[0] + step[7]; output[1] = step[1] + step[6]; output[2] = step[2] + step[5]; output[3] = step[3] + step[4]; output[4] = step[3] - step[4]; output[5] = step[2] - step[5]; output[6] = step[1] - step[6]; output[7] = step[0] - step[7]; temp1 = step[ 8] * C7; temp2 = step[15] * C9; output[ 8] = (temp1 + temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[ 9] * C11; temp2 = step[14] * C5; output[ 9] = (temp1 - temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[10] * C3; temp2 = step[13] * C13; output[10] = (temp1 + temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[11] * C15; temp2 = step[12] * C1; output[11] = (temp1 - temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[11] * C1; temp2 = step[12] * C15; output[12] = (temp2 + temp1 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[10] * C13; temp2 = step[13] * C3; output[13] = (temp2 - temp1 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[ 9] * C5; temp2 = step[14] * C11; output[14] = (temp2 + temp1 + ROUNDING) >> RIGHT_SHIFT; temp1 = step[ 8] * C9; temp2 = step[15] * C7; output[15] = (temp2 - temp1 + ROUNDING) >> RIGHT_SHIFT; // step 3 step[ 0] = output[0] + output[3]; step[ 1] = output[1] + output[2]; step[ 2] = output[1] - output[2]; step[ 3] = output[0] - output[3]; temp1 = output[4] * C14; temp2 = output[7] * C2; step[ 4] = (temp1 + temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = output[5] * C10; temp2 = output[6] * C6; step[ 5] = (temp1 + temp2 + ROUNDING) >> RIGHT_SHIFT; temp1 = output[5] * C6; temp2 = output[6] * C10; step[ 6] = (temp2 - temp1 + ROUNDING) >> RIGHT_SHIFT; temp1 = output[4] * C2; temp2 = output[7] * C14; step[ 7] = (temp2 - temp1 + ROUNDING) >> RIGHT_SHIFT; step[ 8] = output[ 8] + output[11]; step[ 9] = output[ 9] + output[10]; step[10] = output[ 9] - output[10]; step[11] = output[ 8] - output[11]; step[12] = output[12] + output[15]; step[13] = output[13] + output[14]; step[14] = output[13] - output[14]; step[15] = output[12] - output[15]; // step 4 output[ 0] = (step[ 0] + step[ 1] + output_rounding) >> output_shift; output[ 8] = (step[ 0] - step[ 1] + output_rounding) >> output_shift; temp1 = step[2] * C12; temp2 = step[3] * C4; temp1 = (temp1 + temp2 + final_rounding) >> final_shift; output[ 4] = (2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; temp1 = step[2] * C4; temp2 = step[3] * C12; temp1 = (temp2 - temp1 + final_rounding) >> final_shift; output[12] = (2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; output[ 2] = (2 * ((step[4] + step[ 5]) * C8) + final_rounding) >> final_shift; output[14] = (2 * ((step[7] - step[ 6]) * C8) + final_rounding) >> final_shift; temp1 = step[4] - step[5]; temp2 = step[6] + step[7]; output[ 6] = (temp1 + temp2 + output_rounding) >> output_shift; output[10] = (temp1 - temp2 + output_rounding) >> output_shift; intermediate[8] = step[8] + step[14]; intermediate[9] = step[9] + step[15]; temp1 = intermediate[8] * C12; temp2 = intermediate[9] * C4; temp1 = (temp1 - temp2 + final_rounding) >> final_shift; output[3] = (2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; temp1 = intermediate[8] * C4; temp2 = intermediate[9] * C12; temp1 = (temp2 + temp1 + final_rounding) >> final_shift; output[13] = (2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; output[ 9] = (2 * ((step[10] + step[11]) * C8) + final_rounding) >> final_shift; intermediate[11] = step[10] - step[11]; intermediate[12] = step[12] + step[13]; intermediate[13] = step[12] - step[13]; intermediate[14] = step[ 8] - step[14]; intermediate[15] = step[ 9] - step[15]; output[15] = (intermediate[11] + intermediate[12] + output_rounding) >> output_shift; output[ 1] = (intermediate[12] - intermediate[11] + output_rounding) >> output_shift; output[ 7] = (2 * (intermediate[13] * C8) + final_rounding) >> final_shift; temp1 = intermediate[14] * C12; temp2 = intermediate[15] * C4; temp1 = (temp1 - temp2 + final_rounding) >> final_shift; output[11] = (-2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; temp1 = intermediate[14] * C4; temp2 = intermediate[15] * C12; temp1 = (temp2 + temp1 + final_rounding) >> final_shift; output[ 5] = (2 * (temp1 * C8) + ROUNDING) >> RIGHT_SHIFT; } void vp9_short_fdct16x16_c(int16_t *input, int16_t *out, int pitch) { int shortpitch = pitch >> 1; int i, j; int16_t output[256]; int16_t *outptr = &output[0]; // First transform columns for (i = 0; i < 16; i++) { int16_t temp_in[16]; int16_t temp_out[16]; for (j = 0; j < 16; j++) temp_in[j] = input[j * shortpitch + i]; dct16x16_1d(temp_in, temp_out, 0); for (j = 0; j < 16; j++) output[j * 16 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 16; ++i) { dct16x16_1d(outptr, out, 1); outptr += 16; out += 16; } } #undef RIGHT_SHIFT #undef ROUNDING #else // Rewrote to use same algorithm as others. static void fdct16_1d(int16_t input[16], int16_t output[16]) { int16_t step[16]; int temp1, temp2; // step 1 step[ 0] = input[0] + input[15]; step[ 1] = input[1] + input[14]; step[ 2] = input[2] + input[13]; step[ 3] = input[3] + input[12]; step[ 4] = input[4] + input[11]; step[ 5] = input[5] + input[10]; step[ 6] = input[6] + input[ 9]; step[ 7] = input[7] + input[ 8]; step[ 8] = input[7] - input[ 8]; step[ 9] = input[6] - input[ 9]; step[10] = input[5] - input[10]; step[11] = input[4] - input[11]; step[12] = input[3] - input[12]; step[13] = input[2] - input[13]; step[14] = input[1] - input[14]; step[15] = input[0] - input[15]; fdct8_1d(step, step); // step 2 output[8] = step[8]; output[9] = step[9]; temp1 = (-step[10] + step[13]) * cospi_16_64; temp2 = (-step[11] + step[12]) * cospi_16_64; output[10] = dct_const_round_shift(temp1); output[11] = dct_const_round_shift(temp2); temp1 = (step[11] + step[12]) * cospi_16_64; temp2 = (step[10] + step[13]) * cospi_16_64; output[12] = dct_const_round_shift(temp1); output[13] = dct_const_round_shift(temp2); output[14] = step[14]; output[15] = step[15]; // step 3 step[ 8] = output[8] + output[11]; step[ 9] = output[9] + output[10]; step[ 10] = output[9] - output[10]; step[ 11] = output[8] - output[11]; step[ 12] = -output[12] + output[15]; step[ 13] = -output[13] + output[14]; step[ 14] = output[13] + output[14]; step[ 15] = output[12] + output[15]; // step 4 output[8] = step[8]; temp1 = -step[9] * cospi_8_64 + step[14] * cospi_24_64; temp2 = -step[10] * cospi_24_64 - step[13] * cospi_8_64; output[9] = dct_const_round_shift(temp1); output[10] = dct_const_round_shift(temp2); output[11] = step[11]; output[12] = step[12]; temp1 = -step[10] * cospi_8_64 + step[13] * cospi_24_64; temp2 = step[9] * cospi_24_64 + step[14] * cospi_8_64; output[13] = dct_const_round_shift(temp1); output[14] = dct_const_round_shift(temp2); output[15] = step[15]; // step 5 step[8] = output[8] + output[9]; step[9] = output[8] - output[9]; step[10] = -output[10] + output[11]; step[11] = output[10] + output[11]; step[12] = output[12] + output[13]; step[13] = output[12] - output[13]; step[14] = -output[14] + output[15]; step[15] = output[14] + output[15]; // step 6 output[0] = step[0]; output[8] = step[4]; output[4] = step[2]; output[12] = step[6]; output[2] = step[1]; output[10] = step[5]; output[6] = step[3]; output[14] = step[7]; temp1 = step[8] * cospi_30_64 + step[15] * cospi_2_64; temp2 = step[9] * cospi_14_64 + step[14] * cospi_18_64; output[1] = dct_const_round_shift(temp1); output[9] = dct_const_round_shift(temp2); temp1 = step[10] * cospi_22_64 + step[13] * cospi_10_64; temp2 = step[11] * cospi_6_64 + step[12] * cospi_26_64; output[5] = dct_const_round_shift(temp1); output[13] = dct_const_round_shift(temp2); temp1 = -step[11] * cospi_26_64 + step[12] * cospi_6_64; temp2 = -step[10] * cospi_10_64 + step[13] * cospi_22_64; output[3] = dct_const_round_shift(temp1); output[11] = dct_const_round_shift(temp2); temp1 = -step[9] * cospi_18_64 + step[14] * cospi_14_64; temp2 = -step[8] * cospi_2_64 + step[15] * cospi_30_64; output[7] = dct_const_round_shift(temp1); output[15] = dct_const_round_shift(temp2); } void vp9_short_fdct16x16_c(int16_t *input, int16_t *out, int pitch) { int shortpitch = pitch >> 1; int i, j; int16_t output[256]; int16_t temp_in[16], temp_out[16]; // First transform columns for (i = 0; i < 16; i++) { for (j = 0; j < 16; j++) temp_in[j] = input[j * shortpitch + i]; fdct16_1d(temp_in, temp_out); for (j = 0; j < 16; j++) output[j * 16 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 16; ++i) { for (j = 0; j < 16; ++j) temp_in[j] = output[j + i * 16]; fdct16_1d(temp_in, temp_out); for (j = 0; j < 16; ++j) out[j + i * 16] = temp_out[j]; } } #endif #endif #define TEST_INT_32x32_DCT 1 #if !TEST_INT_32x32_DCT static void dct32_1d(double *input, double *output, int stride) { static const double C1 = 0.998795456205; // cos(pi * 1 / 64) static const double C2 = 0.995184726672; // cos(pi * 2 / 64) static const double C3 = 0.989176509965; // cos(pi * 3 / 64) static const double C4 = 0.980785280403; // cos(pi * 4 / 64) static const double C5 = 0.970031253195; // cos(pi * 5 / 64) static const double C6 = 0.956940335732; // cos(pi * 6 / 64) static const double C7 = 0.941544065183; // cos(pi * 7 / 64) static const double C8 = 0.923879532511; // cos(pi * 8 / 64) static const double C9 = 0.903989293123; // cos(pi * 9 / 64) static const double C10 = 0.881921264348; // cos(pi * 10 / 64) static const double C11 = 0.857728610000; // cos(pi * 11 / 64) static const double C12 = 0.831469612303; // cos(pi * 12 / 64) static const double C13 = 0.803207531481; // cos(pi * 13 / 64) static const double C14 = 0.773010453363; // cos(pi * 14 / 64) static const double C15 = 0.740951125355; // cos(pi * 15 / 64) static const double C16 = 0.707106781187; // cos(pi * 16 / 64) static const double C17 = 0.671558954847; // cos(pi * 17 / 64) static const double C18 = 0.634393284164; // cos(pi * 18 / 64) static const double C19 = 0.595699304492; // cos(pi * 19 / 64) static const double C20 = 0.555570233020; // cos(pi * 20 / 64) static const double C21 = 0.514102744193; // cos(pi * 21 / 64) static const double C22 = 0.471396736826; // cos(pi * 22 / 64) static const double C23 = 0.427555093430; // cos(pi * 23 / 64) static const double C24 = 0.382683432365; // cos(pi * 24 / 64) static const double C25 = 0.336889853392; // cos(pi * 25 / 64) static const double C26 = 0.290284677254; // cos(pi * 26 / 64) static const double C27 = 0.242980179903; // cos(pi * 27 / 64) static const double C28 = 0.195090322016; // cos(pi * 28 / 64) static const double C29 = 0.146730474455; // cos(pi * 29 / 64) static const double C30 = 0.098017140330; // cos(pi * 30 / 64) static const double C31 = 0.049067674327; // cos(pi * 31 / 64) double step[32]; // Stage 1 step[0] = input[stride*0] + input[stride*(32 - 1)]; step[1] = input[stride*1] + input[stride*(32 - 2)]; step[2] = input[stride*2] + input[stride*(32 - 3)]; step[3] = input[stride*3] + input[stride*(32 - 4)]; step[4] = input[stride*4] + input[stride*(32 - 5)]; step[5] = input[stride*5] + input[stride*(32 - 6)]; step[6] = input[stride*6] + input[stride*(32 - 7)]; step[7] = input[stride*7] + input[stride*(32 - 8)]; step[8] = input[stride*8] + input[stride*(32 - 9)]; step[9] = input[stride*9] + input[stride*(32 - 10)]; step[10] = input[stride*10] + input[stride*(32 - 11)]; step[11] = input[stride*11] + input[stride*(32 - 12)]; step[12] = input[stride*12] + input[stride*(32 - 13)]; step[13] = input[stride*13] + input[stride*(32 - 14)]; step[14] = input[stride*14] + input[stride*(32 - 15)]; step[15] = input[stride*15] + input[stride*(32 - 16)]; step[16] = -input[stride*16] + input[stride*(32 - 17)]; step[17] = -input[stride*17] + input[stride*(32 - 18)]; step[18] = -input[stride*18] + input[stride*(32 - 19)]; step[19] = -input[stride*19] + input[stride*(32 - 20)]; step[20] = -input[stride*20] + input[stride*(32 - 21)]; step[21] = -input[stride*21] + input[stride*(32 - 22)]; step[22] = -input[stride*22] + input[stride*(32 - 23)]; step[23] = -input[stride*23] + input[stride*(32 - 24)]; step[24] = -input[stride*24] + input[stride*(32 - 25)]; step[25] = -input[stride*25] + input[stride*(32 - 26)]; step[26] = -input[stride*26] + input[stride*(32 - 27)]; step[27] = -input[stride*27] + input[stride*(32 - 28)]; step[28] = -input[stride*28] + input[stride*(32 - 29)]; step[29] = -input[stride*29] + input[stride*(32 - 30)]; step[30] = -input[stride*30] + input[stride*(32 - 31)]; step[31] = -input[stride*31] + input[stride*(32 - 32)]; // Stage 2 output[stride*0] = step[0] + step[16 - 1]; output[stride*1] = step[1] + step[16 - 2]; output[stride*2] = step[2] + step[16 - 3]; output[stride*3] = step[3] + step[16 - 4]; output[stride*4] = step[4] + step[16 - 5]; output[stride*5] = step[5] + step[16 - 6]; output[stride*6] = step[6] + step[16 - 7]; output[stride*7] = step[7] + step[16 - 8]; output[stride*8] = -step[8] + step[16 - 9]; output[stride*9] = -step[9] + step[16 - 10]; output[stride*10] = -step[10] + step[16 - 11]; output[stride*11] = -step[11] + step[16 - 12]; output[stride*12] = -step[12] + step[16 - 13]; output[stride*13] = -step[13] + step[16 - 14]; output[stride*14] = -step[14] + step[16 - 15]; output[stride*15] = -step[15] + step[16 - 16]; output[stride*16] = step[16]; output[stride*17] = step[17]; output[stride*18] = step[18]; output[stride*19] = step[19]; output[stride*20] = (-step[20] + step[27])*C16; output[stride*21] = (-step[21] + step[26])*C16; output[stride*22] = (-step[22] + step[25])*C16; output[stride*23] = (-step[23] + step[24])*C16; output[stride*24] = (step[24] + step[23])*C16; output[stride*25] = (step[25] + step[22])*C16; output[stride*26] = (step[26] + step[21])*C16; output[stride*27] = (step[27] + step[20])*C16; output[stride*28] = step[28]; output[stride*29] = step[29]; output[stride*30] = step[30]; output[stride*31] = step[31]; // Stage 3 step[0] = output[stride*0] + output[stride*(8 - 1)]; step[1] = output[stride*1] + output[stride*(8 - 2)]; step[2] = output[stride*2] + output[stride*(8 - 3)]; step[3] = output[stride*3] + output[stride*(8 - 4)]; step[4] = -output[stride*4] + output[stride*(8 - 5)]; step[5] = -output[stride*5] + output[stride*(8 - 6)]; step[6] = -output[stride*6] + output[stride*(8 - 7)]; step[7] = -output[stride*7] + output[stride*(8 - 8)]; step[8] = output[stride*8]; step[9] = output[stride*9]; step[10] = (-output[stride*10] + output[stride*13])*C16; step[11] = (-output[stride*11] + output[stride*12])*C16; step[12] = (output[stride*12] + output[stride*11])*C16; step[13] = (output[stride*13] + output[stride*10])*C16; step[14] = output[stride*14]; step[15] = output[stride*15]; step[16] = output[stride*16] + output[stride*23]; step[17] = output[stride*17] + output[stride*22]; step[18] = output[stride*18] + output[stride*21]; step[19] = output[stride*19] + output[stride*20]; step[20] = -output[stride*20] + output[stride*19]; step[21] = -output[stride*21] + output[stride*18]; step[22] = -output[stride*22] + output[stride*17]; step[23] = -output[stride*23] + output[stride*16]; step[24] = -output[stride*24] + output[stride*31]; step[25] = -output[stride*25] + output[stride*30]; step[26] = -output[stride*26] + output[stride*29]; step[27] = -output[stride*27] + output[stride*28]; step[28] = output[stride*28] + output[stride*27]; step[29] = output[stride*29] + output[stride*26]; step[30] = output[stride*30] + output[stride*25]; step[31] = output[stride*31] + output[stride*24]; // Stage 4 output[stride*0] = step[0] + step[3]; output[stride*1] = step[1] + step[2]; output[stride*2] = -step[2] + step[1]; output[stride*3] = -step[3] + step[0]; output[stride*4] = step[4]; output[stride*5] = (-step[5] + step[6])*C16; output[stride*6] = (step[6] + step[5])*C16; output[stride*7] = step[7]; output[stride*8] = step[8] + step[11]; output[stride*9] = step[9] + step[10]; output[stride*10] = -step[10] + step[9]; output[stride*11] = -step[11] + step[8]; output[stride*12] = -step[12] + step[15]; output[stride*13] = -step[13] + step[14]; output[stride*14] = step[14] + step[13]; output[stride*15] = step[15] + step[12]; output[stride*16] = step[16]; output[stride*17] = step[17]; output[stride*18] = step[18]*-C8 + step[29]*C24; output[stride*19] = step[19]*-C8 + step[28]*C24; output[stride*20] = step[20]*-C24 + step[27]*-C8; output[stride*21] = step[21]*-C24 + step[26]*-C8; output[stride*22] = step[22]; output[stride*23] = step[23]; output[stride*24] = step[24]; output[stride*25] = step[25]; output[stride*26] = step[26]*C24 + step[21]*-C8; output[stride*27] = step[27]*C24 + step[20]*-C8; output[stride*28] = step[28]*C8 + step[19]*C24; output[stride*29] = step[29]*C8 + step[18]*C24; output[stride*30] = step[30]; output[stride*31] = step[31]; // Stage 5 step[0] = (output[stride*0] + output[stride*1]) * C16; step[1] = (-output[stride*1] + output[stride*0]) * C16; step[2] = output[stride*2]*C24 + output[stride*3] * C8; step[3] = output[stride*3]*C24 - output[stride*2] * C8; step[4] = output[stride*4] + output[stride*5]; step[5] = -output[stride*5] + output[stride*4]; step[6] = -output[stride*6] + output[stride*7]; step[7] = output[stride*7] + output[stride*6]; step[8] = output[stride*8]; step[9] = output[stride*9]*-C8 + output[stride*14]*C24; step[10] = output[stride*10]*-C24 + output[stride*13]*-C8; step[11] = output[stride*11]; step[12] = output[stride*12]; step[13] = output[stride*13]*C24 + output[stride*10]*-C8; step[14] = output[stride*14]*C8 + output[stride*9]*C24; step[15] = output[stride*15]; step[16] = output[stride*16] + output[stride*19]; step[17] = output[stride*17] + output[stride*18]; step[18] = -output[stride*18] + output[stride*17]; step[19] = -output[stride*19] + output[stride*16]; step[20] = -output[stride*20] + output[stride*23]; step[21] = -output[stride*21] + output[stride*22]; step[22] = output[stride*22] + output[stride*21]; step[23] = output[stride*23] + output[stride*20]; step[24] = output[stride*24] + output[stride*27]; step[25] = output[stride*25] + output[stride*26]; step[26] = -output[stride*26] + output[stride*25]; step[27] = -output[stride*27] + output[stride*24]; step[28] = -output[stride*28] + output[stride*31]; step[29] = -output[stride*29] + output[stride*30]; step[30] = output[stride*30] + output[stride*29]; step[31] = output[stride*31] + output[stride*28]; // Stage 6 output[stride*0] = step[0]; output[stride*1] = step[1]; output[stride*2] = step[2]; output[stride*3] = step[3]; output[stride*4] = step[4]*C28 + step[7]*C4; output[stride*5] = step[5]*C12 + step[6]*C20; output[stride*6] = step[6]*C12 + step[5]*-C20; output[stride*7] = step[7]*C28 + step[4]*-C4; output[stride*8] = step[8] + step[9]; output[stride*9] = -step[9] + step[8]; output[stride*10] = -step[10] + step[11]; output[stride*11] = step[11] + step[10]; output[stride*12] = step[12] + step[13]; output[stride*13] = -step[13] + step[12]; output[stride*14] = -step[14] + step[15]; output[stride*15] = step[15] + step[14]; output[stride*16] = step[16]; output[stride*17] = step[17]*-C4 + step[30]*C28; output[stride*18] = step[18]*-C28 + step[29]*-C4; output[stride*19] = step[19]; output[stride*20] = step[20]; output[stride*21] = step[21]*-C20 + step[26]*C12; output[stride*22] = step[22]*-C12 + step[25]*-C20; output[stride*23] = step[23]; output[stride*24] = step[24]; output[stride*25] = step[25]*C12 + step[22]*-C20; output[stride*26] = step[26]*C20 + step[21]*C12; output[stride*27] = step[27]; output[stride*28] = step[28]; output[stride*29] = step[29]*C28 + step[18]*-C4; output[stride*30] = step[30]*C4 + step[17]*C28; output[stride*31] = step[31]; // Stage 7 step[0] = output[stride*0]; step[1] = output[stride*1]; step[2] = output[stride*2]; step[3] = output[stride*3]; step[4] = output[stride*4]; step[5] = output[stride*5]; step[6] = output[stride*6]; step[7] = output[stride*7]; step[8] = output[stride*8]*C30 + output[stride*15]*C2; step[9] = output[stride*9]*C14 + output[stride*14]*C18; step[10] = output[stride*10]*C22 + output[stride*13]*C10; step[11] = output[stride*11]*C6 + output[stride*12]*C26; step[12] = output[stride*12]*C6 + output[stride*11]*-C26; step[13] = output[stride*13]*C22 + output[stride*10]*-C10; step[14] = output[stride*14]*C14 + output[stride*9]*-C18; step[15] = output[stride*15]*C30 + output[stride*8]*-C2; step[16] = output[stride*16] + output[stride*17]; step[17] = -output[stride*17] + output[stride*16]; step[18] = -output[stride*18] + output[stride*19]; step[19] = output[stride*19] + output[stride*18]; step[20] = output[stride*20] + output[stride*21]; step[21] = -output[stride*21] + output[stride*20]; step[22] = -output[stride*22] + output[stride*23]; step[23] = output[stride*23] + output[stride*22]; step[24] = output[stride*24] + output[stride*25]; step[25] = -output[stride*25] + output[stride*24]; step[26] = -output[stride*26] + output[stride*27]; step[27] = output[stride*27] + output[stride*26]; step[28] = output[stride*28] + output[stride*29]; step[29] = -output[stride*29] + output[stride*28]; step[30] = -output[stride*30] + output[stride*31]; step[31] = output[stride*31] + output[stride*30]; // Final stage --- outputs indices are bit-reversed. output[stride*0] = step[0]; output[stride*16] = step[1]; output[stride*8] = step[2]; output[stride*24] = step[3]; output[stride*4] = step[4]; output[stride*20] = step[5]; output[stride*12] = step[6]; output[stride*28] = step[7]; output[stride*2] = step[8]; output[stride*18] = step[9]; output[stride*10] = step[10]; output[stride*26] = step[11]; output[stride*6] = step[12]; output[stride*22] = step[13]; output[stride*14] = step[14]; output[stride*30] = step[15]; output[stride*1] = step[16]*C31 + step[31]*C1; output[stride*17] = step[17]*C15 + step[30]*C17; output[stride*9] = step[18]*C23 + step[29]*C9; output[stride*25] = step[19]*C7 + step[28]*C25; output[stride*5] = step[20]*C27 + step[27]*C5; output[stride*21] = step[21]*C11 + step[26]*C21; output[stride*13] = step[22]*C19 + step[25]*C13; output[stride*29] = step[23]*C3 + step[24]*C29; output[stride*3] = step[24]*C3 + step[23]*-C29; output[stride*19] = step[25]*C19 + step[22]*-C13; output[stride*11] = step[26]*C11 + step[21]*-C21; output[stride*27] = step[27]*C27 + step[20]*-C5; output[stride*7] = step[28]*C7 + step[19]*-C25; output[stride*23] = step[29]*C23 + step[18]*-C9; output[stride*15] = step[30]*C15 + step[17]*-C17; output[stride*31] = step[31]*C31 + step[16]*-C1; } void vp9_short_fdct32x32_c(int16_t *input, int16_t *out, int pitch) { vp9_clear_system_state(); // Make it simd safe : __asm emms; { int shortpitch = pitch >> 1; int i, j; double output[1024]; // First transform columns for (i = 0; i < 32; i++) { double temp_in[32], temp_out[32]; for (j = 0; j < 32; j++) temp_in[j] = input[j*shortpitch + i]; dct32_1d(temp_in, temp_out, 1); for (j = 0; j < 32; j++) output[j*32 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 32; ++i) { double temp_in[32], temp_out[32]; for (j = 0; j < 32; ++j) temp_in[j] = output[j + i*32]; dct32_1d(temp_in, temp_out, 1); for (j = 0; j < 32; ++j) output[j + i*32] = temp_out[j]; } // Scale by some magic number for (i = 0; i < 1024; i++) { out[i] = (short)round(output[i]/4); } } vp9_clear_system_state(); // Make it simd safe : __asm emms; } #else #define RIGHT_SHIFT 13 #define ROUNDING (1 << (RIGHT_SHIFT - 1)) static void dct32_1d(int *input, int *output, int last_shift_bits) { static const int16_t C1 = 8182; // 2^13 static const int16_t C2 = 8153; static const int16_t C3 = 8103; static const int16_t C4 = 8035; static const int16_t C5 = 7946; static const int16_t C6 = 7839; static const int16_t C7 = 7713; static const int16_t C8 = 7568; static const int16_t C9 = 7405; static const int16_t C10 = 7225; static const int16_t C11 = 7027; static const int16_t C12 = 6811; static const int16_t C13 = 6580; static const int16_t C14 = 6333; static const int16_t C15 = 6070; static const int16_t C16 = 5793; static const int16_t C17 = 5501; static const int16_t C18 = 5197; static const int16_t C19 = 4880; static const int16_t C20 = 4551; static const int16_t C21 = 4212; static const int16_t C22 = 3862; static const int16_t C23 = 3503; static const int16_t C24 = 3135; static const int16_t C25 = 2760; static const int16_t C26 = 2378; static const int16_t C27 = 1990; static const int16_t C28 = 1598; static const int16_t C29 = 1202; static const int16_t C30 = 803; static const int16_t C31 = 402; int step[32]; int last_rounding = 0; int final_shift = RIGHT_SHIFT; int final_rounding = 0; if (last_shift_bits > 0) last_rounding = 1 << (last_shift_bits - 1); final_shift += last_shift_bits; if (final_shift > 0) final_rounding = 1 << (final_shift - 1); // Stage 1 step[0] = input[0] + input[(32 - 1)]; step[1] = input[1] + input[(32 - 2)]; step[2] = input[2] + input[(32 - 3)]; step[3] = input[3] + input[(32 - 4)]; step[4] = input[4] + input[(32 - 5)]; step[5] = input[5] + input[(32 - 6)]; step[6] = input[6] + input[(32 - 7)]; step[7] = input[7] + input[(32 - 8)]; step[8] = input[8] + input[(32 - 9)]; step[9] = input[9] + input[(32 - 10)]; step[10] = input[10] + input[(32 - 11)]; step[11] = input[11] + input[(32 - 12)]; step[12] = input[12] + input[(32 - 13)]; step[13] = input[13] + input[(32 - 14)]; step[14] = input[14] + input[(32 - 15)]; step[15] = input[15] + input[(32 - 16)]; step[16] = -input[16] + input[(32 - 17)]; step[17] = -input[17] + input[(32 - 18)]; step[18] = -input[18] + input[(32 - 19)]; step[19] = -input[19] + input[(32 - 20)]; step[20] = -input[20] + input[(32 - 21)]; step[21] = -input[21] + input[(32 - 22)]; step[22] = -input[22] + input[(32 - 23)]; step[23] = -input[23] + input[(32 - 24)]; step[24] = -input[24] + input[(32 - 25)]; step[25] = -input[25] + input[(32 - 26)]; step[26] = -input[26] + input[(32 - 27)]; step[27] = -input[27] + input[(32 - 28)]; step[28] = -input[28] + input[(32 - 29)]; step[29] = -input[29] + input[(32 - 30)]; step[30] = -input[30] + input[(32 - 31)]; step[31] = -input[31] + input[(32 - 32)]; // Stage 2 output[0] = step[0] + step[16 - 1]; output[1] = step[1] + step[16 - 2]; output[2] = step[2] + step[16 - 3]; output[3] = step[3] + step[16 - 4]; output[4] = step[4] + step[16 - 5]; output[5] = step[5] + step[16 - 6]; output[6] = step[6] + step[16 - 7]; output[7] = step[7] + step[16 - 8]; output[8] = -step[8] + step[16 - 9]; output[9] = -step[9] + step[16 - 10]; output[10] = -step[10] + step[16 - 11]; output[11] = -step[11] + step[16 - 12]; output[12] = -step[12] + step[16 - 13]; output[13] = -step[13] + step[16 - 14]; output[14] = -step[14] + step[16 - 15]; output[15] = -step[15] + step[16 - 16]; output[16] = step[16]; output[17] = step[17]; output[18] = step[18]; output[19] = step[19]; output[20] = ((-step[20] + step[27]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[21] = ((-step[21] + step[26]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[22] = ((-step[22] + step[25]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[23] = ((-step[23] + step[24]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[24] = ((step[24] + step[23]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[25] = ((step[25] + step[22]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[26] = ((step[26] + step[21]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[27] = ((step[27] + step[20]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[28] = step[28]; output[29] = step[29]; output[30] = step[30]; output[31] = step[31]; // Stage 3 step[0] = output[0] + output[(8 - 1)]; step[1] = output[1] + output[(8 - 2)]; step[2] = output[2] + output[(8 - 3)]; step[3] = output[3] + output[(8 - 4)]; step[4] = -output[4] + output[(8 - 5)]; step[5] = -output[5] + output[(8 - 6)]; step[6] = -output[6] + output[(8 - 7)]; step[7] = -output[7] + output[(8 - 8)]; step[8] = output[8]; step[9] = output[9]; step[10] = ((-output[10] + output[13]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[11] = ((-output[11] + output[12]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[12] = ((output[12] + output[11]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[13] = ((output[13] + output[10]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[14] = output[14]; step[15] = output[15]; step[16] = output[16] + output[23]; step[17] = output[17] + output[22]; step[18] = output[18] + output[21]; step[19] = output[19] + output[20]; step[20] = -output[20] + output[19]; step[21] = -output[21] + output[18]; step[22] = -output[22] + output[17]; step[23] = -output[23] + output[16]; step[24] = -output[24] + output[31]; step[25] = -output[25] + output[30]; step[26] = -output[26] + output[29]; step[27] = -output[27] + output[28]; step[28] = output[28] + output[27]; step[29] = output[29] + output[26]; step[30] = output[30] + output[25]; step[31] = output[31] + output[24]; // Stage 4 output[0] = step[0] + step[3]; output[1] = step[1] + step[2]; output[2] = -step[2] + step[1]; output[3] = -step[3] + step[0]; output[4] = step[4]; output[5] = ((-step[5] + step[6]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[6] = ((step[6] + step[5]) * C16 + ROUNDING) >> RIGHT_SHIFT; output[7] = step[7]; output[8] = step[8] + step[11]; output[9] = step[9] + step[10]; output[10] = -step[10] + step[9]; output[11] = -step[11] + step[8]; output[12] = -step[12] + step[15]; output[13] = -step[13] + step[14]; output[14] = step[14] + step[13]; output[15] = step[15] + step[12]; output[16] = step[16]; output[17] = step[17]; output[18] = (step[18] * -C8 + step[29] * C24 + ROUNDING) >> RIGHT_SHIFT; output[19] = (step[19] * -C8 + step[28] * C24 + ROUNDING) >> RIGHT_SHIFT; output[20] = (step[20] * -C24 + step[27] * -C8 + ROUNDING) >> RIGHT_SHIFT; output[21] = (step[21] * -C24 + step[26] * -C8 + ROUNDING) >> RIGHT_SHIFT; output[22] = step[22]; output[23] = step[23]; output[24] = step[24]; output[25] = step[25]; output[26] = (step[26] * C24 + step[21] * -C8 + ROUNDING) >> RIGHT_SHIFT; output[27] = (step[27] * C24 + step[20] * -C8 + ROUNDING) >> RIGHT_SHIFT; output[28] = (step[28] * C8 + step[19] * C24 + ROUNDING) >> RIGHT_SHIFT; output[29] = (step[29] * C8 + step[18] * C24 + ROUNDING) >> RIGHT_SHIFT; output[30] = step[30]; output[31] = step[31]; // Stage 5 step[0] = ((output[0] + output[1]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[1] = ((-output[1] + output[0]) * C16 + ROUNDING) >> RIGHT_SHIFT; step[2] = (output[2] * C24 + output[3] * C8 + ROUNDING) >> RIGHT_SHIFT; step[3] = (output[3] * C24 - output[2] * C8 + ROUNDING) >> RIGHT_SHIFT; step[4] = output[4] + output[5]; step[5] = -output[5] + output[4]; step[6] = -output[6] + output[7]; step[7] = output[7] + output[6]; step[8] = output[8]; step[9] = (output[9] * -C8 + output[14] * C24 + ROUNDING) >> RIGHT_SHIFT; step[10] = (output[10] * -C24 + output[13] * -C8 + ROUNDING) >> RIGHT_SHIFT; step[11] = output[11]; step[12] = output[12]; step[13] = (output[13] * C24 + output[10] * -C8 + ROUNDING) >> RIGHT_SHIFT; step[14] = (output[14] * C8 + output[9] * C24 + ROUNDING) >> RIGHT_SHIFT; step[15] = output[15]; step[16] = output[16] + output[19]; step[17] = output[17] + output[18]; step[18] = -output[18] + output[17]; step[19] = -output[19] + output[16]; step[20] = -output[20] + output[23]; step[21] = -output[21] + output[22]; step[22] = output[22] + output[21]; step[23] = output[23] + output[20]; step[24] = output[24] + output[27]; step[25] = output[25] + output[26]; step[26] = -output[26] + output[25]; step[27] = -output[27] + output[24]; step[28] = -output[28] + output[31]; step[29] = -output[29] + output[30]; step[30] = output[30] + output[29]; step[31] = output[31] + output[28]; // Stage 6 output[0] = step[0]; output[1] = step[1]; output[2] = step[2]; output[3] = step[3]; output[4] = (step[4] * C28 + step[7] * C4 + ROUNDING) >> RIGHT_SHIFT; output[5] = (step[5] * C12 + step[6] * C20 + ROUNDING) >> RIGHT_SHIFT; output[6] = (step[6] * C12 + step[5] * -C20 + ROUNDING) >> RIGHT_SHIFT; output[7] = (step[7] * C28 + step[4] * -C4 + ROUNDING) >> RIGHT_SHIFT; output[8] = step[8] + step[9]; output[9] = -step[9] + step[8]; output[10] = -step[10] + step[11]; output[11] = step[11] + step[10]; output[12] = step[12] + step[13]; output[13] = -step[13] + step[12]; output[14] = -step[14] + step[15]; output[15] = step[15] + step[14]; output[16] = step[16]; output[17] = (step[17] * -C4 + step[30] * C28 + ROUNDING) >> RIGHT_SHIFT; output[18] = (step[18] * -C28 + step[29] * -C4 + ROUNDING) >> RIGHT_SHIFT; output[19] = step[19]; output[20] = step[20]; output[21] = (step[21] * -C20 + step[26] * C12 + ROUNDING) >> RIGHT_SHIFT; output[22] = (step[22] * -C12 + step[25] * -C20 + ROUNDING) >> RIGHT_SHIFT; output[23] = step[23]; output[24] = step[24]; output[25] = (step[25] * C12 + step[22] * -C20 + ROUNDING) >> RIGHT_SHIFT; output[26] = (step[26] * C20 + step[21] * C12 + ROUNDING) >> RIGHT_SHIFT; output[27] = step[27]; output[28] = step[28]; output[29] = (step[29] * C28 + step[18] * -C4 + ROUNDING) >> RIGHT_SHIFT; output[30] = (step[30] * C4 + step[17] * C28 + ROUNDING) >> RIGHT_SHIFT; output[31] = step[31]; // Stage 7 step[0] = output[0]; step[1] = output[1]; step[2] = output[2]; step[3] = output[3]; step[4] = output[4]; step[5] = output[5]; step[6] = output[6]; step[7] = output[7]; step[8] = (output[8] * C30 + output[15] * C2 + ROUNDING) >> RIGHT_SHIFT; step[9] = (output[9] * C14 + output[14] * C18 + ROUNDING) >> RIGHT_SHIFT; step[10] = (output[10] * C22 + output[13] * C10 + ROUNDING) >> RIGHT_SHIFT; step[11] = (output[11] * C6 + output[12] * C26 + ROUNDING) >> RIGHT_SHIFT; step[12] = (output[12] * C6 + output[11] * -C26 + ROUNDING) >> RIGHT_SHIFT; step[13] = (output[13] * C22 + output[10] * -C10 + ROUNDING) >> RIGHT_SHIFT; step[14] = (output[14] * C14 + output[9] * -C18 + ROUNDING) >> RIGHT_SHIFT; step[15] = (output[15] * C30 + output[8] * -C2 + ROUNDING) >> RIGHT_SHIFT; step[16] = output[16] + output[17]; step[17] = -output[17] + output[16]; step[18] = -output[18] + output[19]; step[19] = output[19] + output[18]; step[20] = output[20] + output[21]; step[21] = -output[21] + output[20]; step[22] = -output[22] + output[23]; step[23] = output[23] + output[22]; step[24] = output[24] + output[25]; step[25] = -output[25] + output[24]; step[26] = -output[26] + output[27]; step[27] = output[27] + output[26]; step[28] = output[28] + output[29]; step[29] = -output[29] + output[28]; step[30] = -output[30] + output[31]; step[31] = output[31] + output[30]; // Final stage --- outputs indices are bit-reversed. output[0] = (step[0] + last_rounding) >> last_shift_bits; output[16] = (step[1] + last_rounding) >> last_shift_bits; output[8] = (step[2] + last_rounding) >> last_shift_bits; output[24] = (step[3] + last_rounding) >> last_shift_bits; output[4] = (step[4] + last_rounding) >> last_shift_bits; output[20] = (step[5] + last_rounding) >> last_shift_bits; output[12] = (step[6] + last_rounding) >> last_shift_bits; output[28] = (step[7] + last_rounding) >> last_shift_bits; output[2] = (step[8] + last_rounding) >> last_shift_bits; output[18] = (step[9] + last_rounding) >> last_shift_bits; output[10] = (step[10] + last_rounding) >> last_shift_bits; output[26] = (step[11] + last_rounding) >> last_shift_bits; output[6] = (step[12] + last_rounding) >> last_shift_bits; output[22] = (step[13] + last_rounding) >> last_shift_bits; output[14] = (step[14] + last_rounding) >> last_shift_bits; output[30] = (step[15] + last_rounding) >> last_shift_bits; output[1] = (step[16] * C31 + step[31] * C1 + final_rounding) >> final_shift; output[17] = (step[17] * C15 + step[30] * C17 + final_rounding) >> final_shift; output[9] = (step[18] * C23 + step[29] * C9 + final_rounding) >> final_shift; output[25] = (step[19] * C7 + step[28] * C25 + final_rounding) >> final_shift; output[5] = (step[20] * C27 + step[27] * C5 + final_rounding) >> final_shift; output[21] = (step[21] * C11 + step[26] * C21 + final_rounding) >> final_shift; output[13] = (step[22] * C19 + step[25] * C13 + final_rounding) >> final_shift; output[29] = (step[23] * C3 + step[24] * C29 + final_rounding) >> final_shift; output[3] = (step[24] * C3 + step[23] * -C29 + final_rounding) >> final_shift; output[19] = (step[25] * C19 + step[22] * -C13 + final_rounding) >> final_shift; output[11] = (step[26] * C11 + step[21] * -C21 + final_rounding) >> final_shift; output[27] = (step[27] * C27 + step[20] * -C5 + final_rounding) >> final_shift; output[7] = (step[28] * C7 + step[19] * -C25 + final_rounding) >> final_shift; output[23] = (step[29] * C23 + step[18] * -C9 + final_rounding) >> final_shift; output[15] = (step[30] * C15 + step[17] * -C17 + final_rounding) >> final_shift; output[31] = (step[31] * C31 + step[16] * -C1 + final_rounding) >> final_shift; // Clamp to fit 16-bit. if (last_shift_bits > 0) { int i; for (i = 0; i < 32; i++) if (output[i] < -32768) output[i] = -32768; else if (output[i] > 32767) output[i] = 32767; } } #undef RIGHT_SHIFT #undef ROUNDING void vp9_short_fdct32x32_c(int16_t *input, int16_t *out, int pitch) { int shortpitch = pitch >> 1; int i, j; int output[1024]; // First transform columns for (i = 0; i < 32; i++) { int temp_in[32], temp_out[32]; for (j = 0; j < 32; j++) temp_in[j] = input[j * shortpitch + i]; dct32_1d(temp_in, temp_out, 0); for (j = 0; j < 32; j++) output[j * 32 + i] = temp_out[j]; } // Then transform rows for (i = 0; i < 32; ++i) { int temp_in[32], temp_out[32]; for (j = 0; j < 32; ++j) temp_in[j] = output[j + i * 32]; dct32_1d(temp_in, temp_out, 2); for (j = 0; j < 32; ++j) out[j + i * 32] = temp_out[j]; } } #endif