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inv_txfm.c
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/*
* Copyright (c) 2016, Alliance for Open Media. All rights reserved
*
* This source code is subject to the terms of the BSD 2 Clause License and
* the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
* was not distributed with this source code in the LICENSE file, you can
* obtain it at www.aomedia.org/license/software. If the Alliance for Open
* Media Patent License 1.0 was not distributed with this source code in the
* PATENTS file, you can obtain it at www.aomedia.org/license/patent.
*/
#include <math.h>
#include <string.h>
#include "./aom_dsp_rtcd.h"
#include "aom_dsp/inv_txfm.h"
void aom_iwht4x4_16_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
/* 4-point reversible, orthonormal inverse Walsh-Hadamard in 3.5 adds,
0.5 shifts per pixel. */
int i;
tran_low_t output[16];
tran_high_t a1, b1, c1, d1, e1;
const tran_low_t *ip = input;
tran_low_t *op = output;
for (i = 0; i < 4; i++) {
a1 = ip[0] >> UNIT_QUANT_SHIFT;
c1 = ip[1] >> UNIT_QUANT_SHIFT;
d1 = ip[2] >> UNIT_QUANT_SHIFT;
b1 = ip[3] >> UNIT_QUANT_SHIFT;
a1 += c1;
d1 -= b1;
e1 = (a1 - d1) >> 1;
b1 = e1 - b1;
c1 = e1 - c1;
a1 -= b1;
d1 += c1;
op[0] = WRAPLOW(a1);
op[1] = WRAPLOW(b1);
op[2] = WRAPLOW(c1);
op[3] = WRAPLOW(d1);
ip += 4;
op += 4;
}
ip = output;
for (i = 0; i < 4; i++) {
a1 = ip[4 * 0];
c1 = ip[4 * 1];
d1 = ip[4 * 2];
b1 = ip[4 * 3];
a1 += c1;
d1 -= b1;
e1 = (a1 - d1) >> 1;
b1 = e1 - b1;
c1 = e1 - c1;
a1 -= b1;
d1 += c1;
dest[stride * 0] = clip_pixel_add(dest[stride * 0], WRAPLOW(a1));
dest[stride * 1] = clip_pixel_add(dest[stride * 1], WRAPLOW(b1));
dest[stride * 2] = clip_pixel_add(dest[stride * 2], WRAPLOW(c1));
dest[stride * 3] = clip_pixel_add(dest[stride * 3], WRAPLOW(d1));
ip++;
dest++;
}
}
void aom_iwht4x4_1_add_c(const tran_low_t *in, uint8_t *dest, int dest_stride) {
int i;
tran_high_t a1, e1;
tran_low_t tmp[4];
const tran_low_t *ip = in;
tran_low_t *op = tmp;
a1 = ip[0] >> UNIT_QUANT_SHIFT;
e1 = a1 >> 1;
a1 -= e1;
op[0] = WRAPLOW(a1);
op[1] = op[2] = op[3] = WRAPLOW(e1);
ip = tmp;
for (i = 0; i < 4; i++) {
e1 = ip[0] >> 1;
a1 = ip[0] - e1;
dest[dest_stride * 0] = clip_pixel_add(dest[dest_stride * 0], a1);
dest[dest_stride * 1] = clip_pixel_add(dest[dest_stride * 1], e1);
dest[dest_stride * 2] = clip_pixel_add(dest[dest_stride * 2], e1);
dest[dest_stride * 3] = clip_pixel_add(dest[dest_stride * 3], e1);
ip++;
dest++;
}
}
void aom_idct4_c(const tran_low_t *input, tran_low_t *output) {
tran_low_t step[4];
tran_high_t temp1, temp2;
// stage 1
temp1 = (input[0] + input[2]) * cospi_16_64;
temp2 = (input[0] - input[2]) * cospi_16_64;
step[0] = WRAPLOW(dct_const_round_shift(temp1));
step[1] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[1] * cospi_24_64 - input[3] * cospi_8_64;
temp2 = input[1] * cospi_8_64 + input[3] * cospi_24_64;
step[2] = WRAPLOW(dct_const_round_shift(temp1));
step[3] = WRAPLOW(dct_const_round_shift(temp2));
// stage 2
output[0] = WRAPLOW(step[0] + step[3]);
output[1] = WRAPLOW(step[1] + step[2]);
output[2] = WRAPLOW(step[1] - step[2]);
output[3] = WRAPLOW(step[0] - step[3]);
}
void aom_idct4x4_16_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
tran_low_t out[4 * 4];
tran_low_t *outptr = out;
int i, j;
tran_low_t temp_in[4], temp_out[4];
// Rows
for (i = 0; i < 4; ++i) {
aom_idct4_c(input, outptr);
input += 4;
outptr += 4;
}
// Columns
for (i = 0; i < 4; ++i) {
for (j = 0; j < 4; ++j) temp_in[j] = out[j * 4 + i];
aom_idct4_c(temp_in, temp_out);
for (j = 0; j < 4; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 4));
}
}
}
void aom_idct4x4_1_add_c(const tran_low_t *input, uint8_t *dest,
int dest_stride) {
int i;
tran_high_t a1;
tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));
out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
a1 = ROUND_POWER_OF_TWO(out, 4);
if (a1 == 0) return;
for (i = 0; i < 4; i++) {
dest[0] = clip_pixel_add(dest[0], a1);
dest[1] = clip_pixel_add(dest[1], a1);
dest[2] = clip_pixel_add(dest[2], a1);
dest[3] = clip_pixel_add(dest[3], a1);
dest += dest_stride;
}
}
void aom_idct8_c(const tran_low_t *input, tran_low_t *output) {
tran_low_t step1[8], step2[8];
tran_high_t temp1, temp2;
// stage 1
step1[0] = input[0];
step1[2] = input[4];
step1[1] = input[2];
step1[3] = input[6];
temp1 = input[1] * cospi_28_64 - input[7] * cospi_4_64;
temp2 = input[1] * cospi_4_64 + input[7] * cospi_28_64;
step1[4] = WRAPLOW(dct_const_round_shift(temp1));
step1[7] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[5] * cospi_12_64 - input[3] * cospi_20_64;
temp2 = input[5] * cospi_20_64 + input[3] * cospi_12_64;
step1[5] = WRAPLOW(dct_const_round_shift(temp1));
step1[6] = WRAPLOW(dct_const_round_shift(temp2));
// stage 2
temp1 = (step1[0] + step1[2]) * cospi_16_64;
temp2 = (step1[0] - step1[2]) * cospi_16_64;
step2[0] = WRAPLOW(dct_const_round_shift(temp1));
step2[1] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[1] * cospi_24_64 - step1[3] * cospi_8_64;
temp2 = step1[1] * cospi_8_64 + step1[3] * cospi_24_64;
step2[2] = WRAPLOW(dct_const_round_shift(temp1));
step2[3] = WRAPLOW(dct_const_round_shift(temp2));
step2[4] = WRAPLOW(step1[4] + step1[5]);
step2[5] = WRAPLOW(step1[4] - step1[5]);
step2[6] = WRAPLOW(-step1[6] + step1[7]);
step2[7] = WRAPLOW(step1[6] + step1[7]);
// stage 3
step1[0] = WRAPLOW(step2[0] + step2[3]);
step1[1] = WRAPLOW(step2[1] + step2[2]);
step1[2] = WRAPLOW(step2[1] - step2[2]);
step1[3] = WRAPLOW(step2[0] - step2[3]);
step1[4] = step2[4];
temp1 = (step2[6] - step2[5]) * cospi_16_64;
temp2 = (step2[5] + step2[6]) * cospi_16_64;
step1[5] = WRAPLOW(dct_const_round_shift(temp1));
step1[6] = WRAPLOW(dct_const_round_shift(temp2));
step1[7] = step2[7];
// stage 4
output[0] = WRAPLOW(step1[0] + step1[7]);
output[1] = WRAPLOW(step1[1] + step1[6]);
output[2] = WRAPLOW(step1[2] + step1[5]);
output[3] = WRAPLOW(step1[3] + step1[4]);
output[4] = WRAPLOW(step1[3] - step1[4]);
output[5] = WRAPLOW(step1[2] - step1[5]);
output[6] = WRAPLOW(step1[1] - step1[6]);
output[7] = WRAPLOW(step1[0] - step1[7]);
}
void aom_idct8x8_64_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
tran_low_t out[8 * 8];
tran_low_t *outptr = out;
int i, j;
tran_low_t temp_in[8], temp_out[8];
// First transform rows
for (i = 0; i < 8; ++i) {
aom_idct8_c(input, outptr);
input += 8;
outptr += 8;
}
// Then transform columns
for (i = 0; i < 8; ++i) {
for (j = 0; j < 8; ++j) temp_in[j] = out[j * 8 + i];
aom_idct8_c(temp_in, temp_out);
for (j = 0; j < 8; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 5));
}
}
}
void aom_idct8x8_1_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
int i, j;
tran_high_t a1;
tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));
out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
a1 = ROUND_POWER_OF_TWO(out, 5);
if (a1 == 0) return;
for (j = 0; j < 8; ++j) {
for (i = 0; i < 8; ++i) dest[i] = clip_pixel_add(dest[i], a1);
dest += stride;
}
}
#if CONFIG_LGT
void aom_ilgt4_c(const tran_low_t *input, tran_low_t *output) {
if (!(input[0] | input[1] | input[2] | input[3])) {
output[0] = output[1] = output[2] = output[3] = 0;
return;
}
tran_high_t s[4] = { 0 };
for (int i = 0; i < 4; ++i)
for (int j = 0; j < 4; ++j) s[j] += lgtbasis4[i][j] * input[i];
for (int i = 0; i < 4; ++i) output[i] = WRAPLOW(dct_const_round_shift(s[i]));
}
void aom_ilgt8_c(const tran_low_t *input, tran_low_t *output) {
tran_high_t s[8] = { 0 };
for (int i = 0; i < 8; ++i)
for (int j = 0; j < 8; ++j) s[j] += lgtbasis8[i][j] * input[i];
for (int i = 0; i < 8; ++i) output[i] = WRAPLOW(dct_const_round_shift(s[i]));
}
#endif // CONFIG_LGT
void aom_iadst4_c(const tran_low_t *input, tran_low_t *output) {
#if CONFIG_LGT
aom_ilgt4_c(input, output);
#else
tran_high_t s0, s1, s2, s3, s4, s5, s6, s7;
tran_low_t x0 = input[0];
tran_low_t x1 = input[1];
tran_low_t x2 = input[2];
tran_low_t x3 = input[3];
if (!(x0 | x1 | x2 | x3)) {
output[0] = output[1] = output[2] = output[3] = 0;
return;
}
s0 = sinpi_1_9 * x0;
s1 = sinpi_2_9 * x0;
s2 = sinpi_3_9 * x1;
s3 = sinpi_4_9 * x2;
s4 = sinpi_1_9 * x2;
s5 = sinpi_2_9 * x3;
s6 = sinpi_4_9 * x3;
s7 = WRAPLOW(x0 - x2 + x3);
s0 = s0 + s3 + s5;
s1 = s1 - s4 - s6;
s3 = s2;
s2 = sinpi_3_9 * s7;
// 1-D transform scaling factor is sqrt(2).
// The overall dynamic range is 14b (input) + 14b (multiplication scaling)
// + 1b (addition) = 29b.
// Hence the output bit depth is 15b.
output[0] = WRAPLOW(dct_const_round_shift(s0 + s3));
output[1] = WRAPLOW(dct_const_round_shift(s1 + s3));
output[2] = WRAPLOW(dct_const_round_shift(s2));
output[3] = WRAPLOW(dct_const_round_shift(s0 + s1 - s3));
#endif // CONFIG_LGT
}
void aom_iadst8_c(const tran_low_t *input, tran_low_t *output) {
#if CONFIG_LGT
aom_ilgt8_c(input, output);
#else
int s0, s1, s2, s3, s4, s5, s6, s7;
tran_high_t x0 = input[7];
tran_high_t x1 = input[0];
tran_high_t x2 = input[5];
tran_high_t x3 = input[2];
tran_high_t x4 = input[3];
tran_high_t x5 = input[4];
tran_high_t x6 = input[1];
tran_high_t x7 = input[6];
if (!(x0 | x1 | x2 | x3 | x4 | x5 | x6 | x7)) {
output[0] = output[1] = output[2] = output[3] = output[4] = output[5] =
output[6] = output[7] = 0;
return;
}
// stage 1
s0 = (int)(cospi_2_64 * x0 + cospi_30_64 * x1);
s1 = (int)(cospi_30_64 * x0 - cospi_2_64 * x1);
s2 = (int)(cospi_10_64 * x2 + cospi_22_64 * x3);
s3 = (int)(cospi_22_64 * x2 - cospi_10_64 * x3);
s4 = (int)(cospi_18_64 * x4 + cospi_14_64 * x5);
s5 = (int)(cospi_14_64 * x4 - cospi_18_64 * x5);
s6 = (int)(cospi_26_64 * x6 + cospi_6_64 * x7);
s7 = (int)(cospi_6_64 * x6 - cospi_26_64 * x7);
x0 = WRAPLOW(dct_const_round_shift(s0 + s4));
x1 = WRAPLOW(dct_const_round_shift(s1 + s5));
x2 = WRAPLOW(dct_const_round_shift(s2 + s6));
x3 = WRAPLOW(dct_const_round_shift(s3 + s7));
x4 = WRAPLOW(dct_const_round_shift(s0 - s4));
x5 = WRAPLOW(dct_const_round_shift(s1 - s5));
x6 = WRAPLOW(dct_const_round_shift(s2 - s6));
x7 = WRAPLOW(dct_const_round_shift(s3 - s7));
// stage 2
s0 = (int)x0;
s1 = (int)x1;
s2 = (int)x2;
s3 = (int)x3;
s4 = (int)(cospi_8_64 * x4 + cospi_24_64 * x5);
s5 = (int)(cospi_24_64 * x4 - cospi_8_64 * x5);
s6 = (int)(-cospi_24_64 * x6 + cospi_8_64 * x7);
s7 = (int)(cospi_8_64 * x6 + cospi_24_64 * x7);
x0 = WRAPLOW(s0 + s2);
x1 = WRAPLOW(s1 + s3);
x2 = WRAPLOW(s0 - s2);
x3 = WRAPLOW(s1 - s3);
x4 = WRAPLOW(dct_const_round_shift(s4 + s6));
x5 = WRAPLOW(dct_const_round_shift(s5 + s7));
x6 = WRAPLOW(dct_const_round_shift(s4 - s6));
x7 = WRAPLOW(dct_const_round_shift(s5 - s7));
// stage 3
s2 = (int)(cospi_16_64 * (x2 + x3));
s3 = (int)(cospi_16_64 * (x2 - x3));
s6 = (int)(cospi_16_64 * (x6 + x7));
s7 = (int)(cospi_16_64 * (x6 - x7));
x2 = WRAPLOW(dct_const_round_shift(s2));
x3 = WRAPLOW(dct_const_round_shift(s3));
x6 = WRAPLOW(dct_const_round_shift(s6));
x7 = WRAPLOW(dct_const_round_shift(s7));
output[0] = WRAPLOW(x0);
output[1] = WRAPLOW(-x4);
output[2] = WRAPLOW(x6);
output[3] = WRAPLOW(-x2);
output[4] = WRAPLOW(x3);
output[5] = WRAPLOW(-x7);
output[6] = WRAPLOW(x5);
output[7] = WRAPLOW(-x1);
#endif // CONFIG_LGT
}
void aom_idct8x8_12_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
tran_low_t out[8 * 8] = { 0 };
tran_low_t *outptr = out;
int i, j;
tran_low_t temp_in[8], temp_out[8];
// First transform rows
// only first 4 row has non-zero coefs
for (i = 0; i < 4; ++i) {
aom_idct8_c(input, outptr);
input += 8;
outptr += 8;
}
// Then transform columns
for (i = 0; i < 8; ++i) {
for (j = 0; j < 8; ++j) temp_in[j] = out[j * 8 + i];
aom_idct8_c(temp_in, temp_out);
for (j = 0; j < 8; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 5));
}
}
}
void aom_idct16_c(const tran_low_t *input, tran_low_t *output) {
tran_low_t step1[16], step2[16];
tran_high_t temp1, temp2;
// stage 1
step1[0] = input[0 / 2];
step1[1] = input[16 / 2];
step1[2] = input[8 / 2];
step1[3] = input[24 / 2];
step1[4] = input[4 / 2];
step1[5] = input[20 / 2];
step1[6] = input[12 / 2];
step1[7] = input[28 / 2];
step1[8] = input[2 / 2];
step1[9] = input[18 / 2];
step1[10] = input[10 / 2];
step1[11] = input[26 / 2];
step1[12] = input[6 / 2];
step1[13] = input[22 / 2];
step1[14] = input[14 / 2];
step1[15] = input[30 / 2];
// stage 2
step2[0] = step1[0];
step2[1] = step1[1];
step2[2] = step1[2];
step2[3] = step1[3];
step2[4] = step1[4];
step2[5] = step1[5];
step2[6] = step1[6];
step2[7] = step1[7];
temp1 = step1[8] * cospi_30_64 - step1[15] * cospi_2_64;
temp2 = step1[8] * cospi_2_64 + step1[15] * cospi_30_64;
step2[8] = WRAPLOW(dct_const_round_shift(temp1));
step2[15] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[9] * cospi_14_64 - step1[14] * cospi_18_64;
temp2 = step1[9] * cospi_18_64 + step1[14] * cospi_14_64;
step2[9] = WRAPLOW(dct_const_round_shift(temp1));
step2[14] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[10] * cospi_22_64 - step1[13] * cospi_10_64;
temp2 = step1[10] * cospi_10_64 + step1[13] * cospi_22_64;
step2[10] = WRAPLOW(dct_const_round_shift(temp1));
step2[13] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[11] * cospi_6_64 - step1[12] * cospi_26_64;
temp2 = step1[11] * cospi_26_64 + step1[12] * cospi_6_64;
step2[11] = WRAPLOW(dct_const_round_shift(temp1));
step2[12] = WRAPLOW(dct_const_round_shift(temp2));
// stage 3
step1[0] = step2[0];
step1[1] = step2[1];
step1[2] = step2[2];
step1[3] = step2[3];
temp1 = step2[4] * cospi_28_64 - step2[7] * cospi_4_64;
temp2 = step2[4] * cospi_4_64 + step2[7] * cospi_28_64;
step1[4] = WRAPLOW(dct_const_round_shift(temp1));
step1[7] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step2[5] * cospi_12_64 - step2[6] * cospi_20_64;
temp2 = step2[5] * cospi_20_64 + step2[6] * cospi_12_64;
step1[5] = WRAPLOW(dct_const_round_shift(temp1));
step1[6] = WRAPLOW(dct_const_round_shift(temp2));
step1[8] = WRAPLOW(step2[8] + step2[9]);
step1[9] = WRAPLOW(step2[8] - step2[9]);
step1[10] = WRAPLOW(-step2[10] + step2[11]);
step1[11] = WRAPLOW(step2[10] + step2[11]);
step1[12] = WRAPLOW(step2[12] + step2[13]);
step1[13] = WRAPLOW(step2[12] - step2[13]);
step1[14] = WRAPLOW(-step2[14] + step2[15]);
step1[15] = WRAPLOW(step2[14] + step2[15]);
// stage 4
temp1 = (step1[0] + step1[1]) * cospi_16_64;
temp2 = (step1[0] - step1[1]) * cospi_16_64;
step2[0] = WRAPLOW(dct_const_round_shift(temp1));
step2[1] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[2] * cospi_24_64 - step1[3] * cospi_8_64;
temp2 = step1[2] * cospi_8_64 + step1[3] * cospi_24_64;
step2[2] = WRAPLOW(dct_const_round_shift(temp1));
step2[3] = WRAPLOW(dct_const_round_shift(temp2));
step2[4] = WRAPLOW(step1[4] + step1[5]);
step2[5] = WRAPLOW(step1[4] - step1[5]);
step2[6] = WRAPLOW(-step1[6] + step1[7]);
step2[7] = WRAPLOW(step1[6] + step1[7]);
step2[8] = step1[8];
step2[15] = step1[15];
temp1 = -step1[9] * cospi_8_64 + step1[14] * cospi_24_64;
temp2 = step1[9] * cospi_24_64 + step1[14] * cospi_8_64;
step2[9] = WRAPLOW(dct_const_round_shift(temp1));
step2[14] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = -step1[10] * cospi_24_64 - step1[13] * cospi_8_64;
temp2 = -step1[10] * cospi_8_64 + step1[13] * cospi_24_64;
step2[10] = WRAPLOW(dct_const_round_shift(temp1));
step2[13] = WRAPLOW(dct_const_round_shift(temp2));
step2[11] = step1[11];
step2[12] = step1[12];
// stage 5
step1[0] = WRAPLOW(step2[0] + step2[3]);
step1[1] = WRAPLOW(step2[1] + step2[2]);
step1[2] = WRAPLOW(step2[1] - step2[2]);
step1[3] = WRAPLOW(step2[0] - step2[3]);
step1[4] = step2[4];
temp1 = (step2[6] - step2[5]) * cospi_16_64;
temp2 = (step2[5] + step2[6]) * cospi_16_64;
step1[5] = WRAPLOW(dct_const_round_shift(temp1));
step1[6] = WRAPLOW(dct_const_round_shift(temp2));
step1[7] = step2[7];
step1[8] = WRAPLOW(step2[8] + step2[11]);
step1[9] = WRAPLOW(step2[9] + step2[10]);
step1[10] = WRAPLOW(step2[9] - step2[10]);
step1[11] = WRAPLOW(step2[8] - step2[11]);
step1[12] = WRAPLOW(-step2[12] + step2[15]);
step1[13] = WRAPLOW(-step2[13] + step2[14]);
step1[14] = WRAPLOW(step2[13] + step2[14]);
step1[15] = WRAPLOW(step2[12] + step2[15]);
// stage 6
step2[0] = WRAPLOW(step1[0] + step1[7]);
step2[1] = WRAPLOW(step1[1] + step1[6]);
step2[2] = WRAPLOW(step1[2] + step1[5]);
step2[3] = WRAPLOW(step1[3] + step1[4]);
step2[4] = WRAPLOW(step1[3] - step1[4]);
step2[5] = WRAPLOW(step1[2] - step1[5]);
step2[6] = WRAPLOW(step1[1] - step1[6]);
step2[7] = WRAPLOW(step1[0] - step1[7]);
step2[8] = step1[8];
step2[9] = step1[9];
temp1 = (-step1[10] + step1[13]) * cospi_16_64;
temp2 = (step1[10] + step1[13]) * cospi_16_64;
step2[10] = WRAPLOW(dct_const_round_shift(temp1));
step2[13] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = (-step1[11] + step1[12]) * cospi_16_64;
temp2 = (step1[11] + step1[12]) * cospi_16_64;
step2[11] = WRAPLOW(dct_const_round_shift(temp1));
step2[12] = WRAPLOW(dct_const_round_shift(temp2));
step2[14] = step1[14];
step2[15] = step1[15];
// stage 7
output[0] = WRAPLOW(step2[0] + step2[15]);
output[1] = WRAPLOW(step2[1] + step2[14]);
output[2] = WRAPLOW(step2[2] + step2[13]);
output[3] = WRAPLOW(step2[3] + step2[12]);
output[4] = WRAPLOW(step2[4] + step2[11]);
output[5] = WRAPLOW(step2[5] + step2[10]);
output[6] = WRAPLOW(step2[6] + step2[9]);
output[7] = WRAPLOW(step2[7] + step2[8]);
output[8] = WRAPLOW(step2[7] - step2[8]);
output[9] = WRAPLOW(step2[6] - step2[9]);
output[10] = WRAPLOW(step2[5] - step2[10]);
output[11] = WRAPLOW(step2[4] - step2[11]);
output[12] = WRAPLOW(step2[3] - step2[12]);
output[13] = WRAPLOW(step2[2] - step2[13]);
output[14] = WRAPLOW(step2[1] - step2[14]);
output[15] = WRAPLOW(step2[0] - step2[15]);
}
void aom_idct16x16_256_add_c(const tran_low_t *input, uint8_t *dest,
int stride) {
tran_low_t out[16 * 16];
tran_low_t *outptr = out;
int i, j;
tran_low_t temp_in[16], temp_out[16];
// First transform rows
for (i = 0; i < 16; ++i) {
aom_idct16_c(input, outptr);
input += 16;
outptr += 16;
}
// Then transform columns
for (i = 0; i < 16; ++i) {
for (j = 0; j < 16; ++j) temp_in[j] = out[j * 16 + i];
aom_idct16_c(temp_in, temp_out);
for (j = 0; j < 16; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 6));
}
}
}
void aom_iadst16_c(const tran_low_t *input, tran_low_t *output) {
tran_high_t s0, s1, s2, s3, s4, s5, s6, s7, s8;
tran_high_t s9, s10, s11, s12, s13, s14, s15;
tran_high_t x0 = input[15];
tran_high_t x1 = input[0];
tran_high_t x2 = input[13];
tran_high_t x3 = input[2];
tran_high_t x4 = input[11];
tran_high_t x5 = input[4];
tran_high_t x6 = input[9];
tran_high_t x7 = input[6];
tran_high_t x8 = input[7];
tran_high_t x9 = input[8];
tran_high_t x10 = input[5];
tran_high_t x11 = input[10];
tran_high_t x12 = input[3];
tran_high_t x13 = input[12];
tran_high_t x14 = input[1];
tran_high_t x15 = input[14];
if (!(x0 | x1 | x2 | x3 | x4 | x5 | x6 | x7 | x8 | x9 | x10 | x11 | x12 |
x13 | x14 | x15)) {
output[0] = output[1] = output[2] = output[3] = output[4] = output[5] =
output[6] = output[7] = output[8] = output[9] = output[10] =
output[11] = output[12] = output[13] = output[14] = output[15] = 0;
return;
}
// stage 1
s0 = x0 * cospi_1_64 + x1 * cospi_31_64;
s1 = x0 * cospi_31_64 - x1 * cospi_1_64;
s2 = x2 * cospi_5_64 + x3 * cospi_27_64;
s3 = x2 * cospi_27_64 - x3 * cospi_5_64;
s4 = x4 * cospi_9_64 + x5 * cospi_23_64;
s5 = x4 * cospi_23_64 - x5 * cospi_9_64;
s6 = x6 * cospi_13_64 + x7 * cospi_19_64;
s7 = x6 * cospi_19_64 - x7 * cospi_13_64;
s8 = x8 * cospi_17_64 + x9 * cospi_15_64;
s9 = x8 * cospi_15_64 - x9 * cospi_17_64;
s10 = x10 * cospi_21_64 + x11 * cospi_11_64;
s11 = x10 * cospi_11_64 - x11 * cospi_21_64;
s12 = x12 * cospi_25_64 + x13 * cospi_7_64;
s13 = x12 * cospi_7_64 - x13 * cospi_25_64;
s14 = x14 * cospi_29_64 + x15 * cospi_3_64;
s15 = x14 * cospi_3_64 - x15 * cospi_29_64;
x0 = WRAPLOW(dct_const_round_shift(s0 + s8));
x1 = WRAPLOW(dct_const_round_shift(s1 + s9));
x2 = WRAPLOW(dct_const_round_shift(s2 + s10));
x3 = WRAPLOW(dct_const_round_shift(s3 + s11));
x4 = WRAPLOW(dct_const_round_shift(s4 + s12));
x5 = WRAPLOW(dct_const_round_shift(s5 + s13));
x6 = WRAPLOW(dct_const_round_shift(s6 + s14));
x7 = WRAPLOW(dct_const_round_shift(s7 + s15));
x8 = WRAPLOW(dct_const_round_shift(s0 - s8));
x9 = WRAPLOW(dct_const_round_shift(s1 - s9));
x10 = WRAPLOW(dct_const_round_shift(s2 - s10));
x11 = WRAPLOW(dct_const_round_shift(s3 - s11));
x12 = WRAPLOW(dct_const_round_shift(s4 - s12));
x13 = WRAPLOW(dct_const_round_shift(s5 - s13));
x14 = WRAPLOW(dct_const_round_shift(s6 - s14));
x15 = WRAPLOW(dct_const_round_shift(s7 - s15));
// stage 2
s0 = x0;
s1 = x1;
s2 = x2;
s3 = x3;
s4 = x4;
s5 = x5;
s6 = x6;
s7 = x7;
s8 = x8 * cospi_4_64 + x9 * cospi_28_64;
s9 = x8 * cospi_28_64 - x9 * cospi_4_64;
s10 = x10 * cospi_20_64 + x11 * cospi_12_64;
s11 = x10 * cospi_12_64 - x11 * cospi_20_64;
s12 = -x12 * cospi_28_64 + x13 * cospi_4_64;
s13 = x12 * cospi_4_64 + x13 * cospi_28_64;
s14 = -x14 * cospi_12_64 + x15 * cospi_20_64;
s15 = x14 * cospi_20_64 + x15 * cospi_12_64;
x0 = WRAPLOW(s0 + s4);
x1 = WRAPLOW(s1 + s5);
x2 = WRAPLOW(s2 + s6);
x3 = WRAPLOW(s3 + s7);
x4 = WRAPLOW(s0 - s4);
x5 = WRAPLOW(s1 - s5);
x6 = WRAPLOW(s2 - s6);
x7 = WRAPLOW(s3 - s7);
x8 = WRAPLOW(dct_const_round_shift(s8 + s12));
x9 = WRAPLOW(dct_const_round_shift(s9 + s13));
x10 = WRAPLOW(dct_const_round_shift(s10 + s14));
x11 = WRAPLOW(dct_const_round_shift(s11 + s15));
x12 = WRAPLOW(dct_const_round_shift(s8 - s12));
x13 = WRAPLOW(dct_const_round_shift(s9 - s13));
x14 = WRAPLOW(dct_const_round_shift(s10 - s14));
x15 = WRAPLOW(dct_const_round_shift(s11 - s15));
// stage 3
s0 = x0;
s1 = x1;
s2 = x2;
s3 = x3;
s4 = x4 * cospi_8_64 + x5 * cospi_24_64;
s5 = x4 * cospi_24_64 - x5 * cospi_8_64;
s6 = -x6 * cospi_24_64 + x7 * cospi_8_64;
s7 = x6 * cospi_8_64 + x7 * cospi_24_64;
s8 = x8;
s9 = x9;
s10 = x10;
s11 = x11;
s12 = x12 * cospi_8_64 + x13 * cospi_24_64;
s13 = x12 * cospi_24_64 - x13 * cospi_8_64;
s14 = -x14 * cospi_24_64 + x15 * cospi_8_64;
s15 = x14 * cospi_8_64 + x15 * cospi_24_64;
x0 = WRAPLOW(s0 + s2);
x1 = WRAPLOW(s1 + s3);
x2 = WRAPLOW(s0 - s2);
x3 = WRAPLOW(s1 - s3);
x4 = WRAPLOW(dct_const_round_shift(s4 + s6));
x5 = WRAPLOW(dct_const_round_shift(s5 + s7));
x6 = WRAPLOW(dct_const_round_shift(s4 - s6));
x7 = WRAPLOW(dct_const_round_shift(s5 - s7));
x8 = WRAPLOW(s8 + s10);
x9 = WRAPLOW(s9 + s11);
x10 = WRAPLOW(s8 - s10);
x11 = WRAPLOW(s9 - s11);
x12 = WRAPLOW(dct_const_round_shift(s12 + s14));
x13 = WRAPLOW(dct_const_round_shift(s13 + s15));
x14 = WRAPLOW(dct_const_round_shift(s12 - s14));
x15 = WRAPLOW(dct_const_round_shift(s13 - s15));
// stage 4
s2 = (-cospi_16_64) * (x2 + x3);
s3 = cospi_16_64 * (x2 - x3);
s6 = cospi_16_64 * (x6 + x7);
s7 = cospi_16_64 * (-x6 + x7);
s10 = cospi_16_64 * (x10 + x11);
s11 = cospi_16_64 * (-x10 + x11);
s14 = (-cospi_16_64) * (x14 + x15);
s15 = cospi_16_64 * (x14 - x15);
x2 = WRAPLOW(dct_const_round_shift(s2));
x3 = WRAPLOW(dct_const_round_shift(s3));
x6 = WRAPLOW(dct_const_round_shift(s6));
x7 = WRAPLOW(dct_const_round_shift(s7));
x10 = WRAPLOW(dct_const_round_shift(s10));
x11 = WRAPLOW(dct_const_round_shift(s11));
x14 = WRAPLOW(dct_const_round_shift(s14));
x15 = WRAPLOW(dct_const_round_shift(s15));
output[0] = WRAPLOW(x0);
output[1] = WRAPLOW(-x8);
output[2] = WRAPLOW(x12);
output[3] = WRAPLOW(-x4);
output[4] = WRAPLOW(x6);
output[5] = WRAPLOW(x14);
output[6] = WRAPLOW(x10);
output[7] = WRAPLOW(x2);
output[8] = WRAPLOW(x3);
output[9] = WRAPLOW(x11);
output[10] = WRAPLOW(x15);
output[11] = WRAPLOW(x7);
output[12] = WRAPLOW(x5);
output[13] = WRAPLOW(-x13);
output[14] = WRAPLOW(x9);
output[15] = WRAPLOW(-x1);
}
void aom_idct16x16_38_add_c(const tran_low_t *input, uint8_t *dest,
int stride) {
int i, j;
tran_low_t out[16 * 16] = { 0 };
tran_low_t *outptr = out;
tran_low_t temp_in[16], temp_out[16];
// First transform rows. Since all non-zero dct coefficients are in
// upper-left 8x8 area, we only need to calculate first 8 rows here.
for (i = 0; i < 8; ++i) {
aom_idct16_c(input, outptr);
input += 16;
outptr += 16;
}
// Then transform columns
for (i = 0; i < 16; ++i) {
for (j = 0; j < 16; ++j) temp_in[j] = out[j * 16 + i];
aom_idct16_c(temp_in, temp_out);
for (j = 0; j < 16; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 6));
}
}
}
void aom_idct16x16_10_add_c(const tran_low_t *input, uint8_t *dest,
int stride) {
tran_low_t out[16 * 16] = { 0 };
tran_low_t *outptr = out;
int i, j;
tran_low_t temp_in[16], temp_out[16];
// First transform rows. Since all non-zero dct coefficients are in
// upper-left 4x4 area, we only need to calculate first 4 rows here.
for (i = 0; i < 4; ++i) {
aom_idct16_c(input, outptr);
input += 16;
outptr += 16;
}
// Then transform columns
for (i = 0; i < 16; ++i) {
for (j = 0; j < 16; ++j) temp_in[j] = out[j * 16 + i];
aom_idct16_c(temp_in, temp_out);
for (j = 0; j < 16; ++j) {
dest[j * stride + i] = clip_pixel_add(dest[j * stride + i],
ROUND_POWER_OF_TWO(temp_out[j], 6));
}
}
}
void aom_idct16x16_1_add_c(const tran_low_t *input, uint8_t *dest, int stride) {
int i, j;
tran_high_t a1;
tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));
out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
a1 = ROUND_POWER_OF_TWO(out, 6);
if (a1 == 0) return;
for (j = 0; j < 16; ++j) {
for (i = 0; i < 16; ++i) dest[i] = clip_pixel_add(dest[i], a1);
dest += stride;
}
}
void aom_idct32_c(const tran_low_t *input, tran_low_t *output) {
tran_low_t step1[32], step2[32];
tran_high_t temp1, temp2;
// stage 1
step1[0] = input[0];
step1[1] = input[16];
step1[2] = input[8];
step1[3] = input[24];
step1[4] = input[4];
step1[5] = input[20];
step1[6] = input[12];
step1[7] = input[28];
step1[8] = input[2];
step1[9] = input[18];
step1[10] = input[10];
step1[11] = input[26];
step1[12] = input[6];
step1[13] = input[22];
step1[14] = input[14];
step1[15] = input[30];
temp1 = input[1] * cospi_31_64 - input[31] * cospi_1_64;
temp2 = input[1] * cospi_1_64 + input[31] * cospi_31_64;
step1[16] = WRAPLOW(dct_const_round_shift(temp1));
step1[31] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[17] * cospi_15_64 - input[15] * cospi_17_64;
temp2 = input[17] * cospi_17_64 + input[15] * cospi_15_64;
step1[17] = WRAPLOW(dct_const_round_shift(temp1));
step1[30] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[9] * cospi_23_64 - input[23] * cospi_9_64;
temp2 = input[9] * cospi_9_64 + input[23] * cospi_23_64;
step1[18] = WRAPLOW(dct_const_round_shift(temp1));
step1[29] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[25] * cospi_7_64 - input[7] * cospi_25_64;
temp2 = input[25] * cospi_25_64 + input[7] * cospi_7_64;
step1[19] = WRAPLOW(dct_const_round_shift(temp1));
step1[28] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[5] * cospi_27_64 - input[27] * cospi_5_64;
temp2 = input[5] * cospi_5_64 + input[27] * cospi_27_64;
step1[20] = WRAPLOW(dct_const_round_shift(temp1));
step1[27] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[21] * cospi_11_64 - input[11] * cospi_21_64;
temp2 = input[21] * cospi_21_64 + input[11] * cospi_11_64;
step1[21] = WRAPLOW(dct_const_round_shift(temp1));
step1[26] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[13] * cospi_19_64 - input[19] * cospi_13_64;
temp2 = input[13] * cospi_13_64 + input[19] * cospi_19_64;
step1[22] = WRAPLOW(dct_const_round_shift(temp1));
step1[25] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = input[29] * cospi_3_64 - input[3] * cospi_29_64;
temp2 = input[29] * cospi_29_64 + input[3] * cospi_3_64;
step1[23] = WRAPLOW(dct_const_round_shift(temp1));
step1[24] = WRAPLOW(dct_const_round_shift(temp2));
// stage 2
step2[0] = step1[0];
step2[1] = step1[1];
step2[2] = step1[2];
step2[3] = step1[3];
step2[4] = step1[4];
step2[5] = step1[5];
step2[6] = step1[6];
step2[7] = step1[7];
temp1 = step1[8] * cospi_30_64 - step1[15] * cospi_2_64;
temp2 = step1[8] * cospi_2_64 + step1[15] * cospi_30_64;
step2[8] = WRAPLOW(dct_const_round_shift(temp1));
step2[15] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[9] * cospi_14_64 - step1[14] * cospi_18_64;
temp2 = step1[9] * cospi_18_64 + step1[14] * cospi_14_64;
step2[9] = WRAPLOW(dct_const_round_shift(temp1));
step2[14] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[10] * cospi_22_64 - step1[13] * cospi_10_64;
temp2 = step1[10] * cospi_10_64 + step1[13] * cospi_22_64;
step2[10] = WRAPLOW(dct_const_round_shift(temp1));
step2[13] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step1[11] * cospi_6_64 - step1[12] * cospi_26_64;
temp2 = step1[11] * cospi_26_64 + step1[12] * cospi_6_64;
step2[11] = WRAPLOW(dct_const_round_shift(temp1));
step2[12] = WRAPLOW(dct_const_round_shift(temp2));
step2[16] = WRAPLOW(step1[16] + step1[17]);
step2[17] = WRAPLOW(step1[16] - step1[17]);
step2[18] = WRAPLOW(-step1[18] + step1[19]);
step2[19] = WRAPLOW(step1[18] + step1[19]);
step2[20] = WRAPLOW(step1[20] + step1[21]);
step2[21] = WRAPLOW(step1[20] - step1[21]);
step2[22] = WRAPLOW(-step1[22] + step1[23]);
step2[23] = WRAPLOW(step1[22] + step1[23]);
step2[24] = WRAPLOW(step1[24] + step1[25]);
step2[25] = WRAPLOW(step1[24] - step1[25]);
step2[26] = WRAPLOW(-step1[26] + step1[27]);
step2[27] = WRAPLOW(step1[26] + step1[27]);
step2[28] = WRAPLOW(step1[28] + step1[29]);
step2[29] = WRAPLOW(step1[28] - step1[29]);
step2[30] = WRAPLOW(-step1[30] + step1[31]);
step2[31] = WRAPLOW(step1[30] + step1[31]);
// stage 3
step1[0] = step2[0];
step1[1] = step2[1];
step1[2] = step2[2];
step1[3] = step2[3];
temp1 = step2[4] * cospi_28_64 - step2[7] * cospi_4_64;
temp2 = step2[4] * cospi_4_64 + step2[7] * cospi_28_64;
step1[4] = WRAPLOW(dct_const_round_shift(temp1));
step1[7] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = step2[5] * cospi_12_64 - step2[6] * cospi_20_64;
temp2 = step2[5] * cospi_20_64 + step2[6] * cospi_12_64;
step1[5] = WRAPLOW(dct_const_round_shift(temp1));
step1[6] = WRAPLOW(dct_const_round_shift(temp2));
step1[8] = WRAPLOW(step2[8] + step2[9]);
step1[9] = WRAPLOW(step2[8] - step2[9]);
step1[10] = WRAPLOW(-step2[10] + step2[11]);
step1[11] = WRAPLOW(step2[10] + step2[11]);
step1[12] = WRAPLOW(step2[12] + step2[13]);
step1[13] = WRAPLOW(step2[12] - step2[13]);
step1[14] = WRAPLOW(-step2[14] + step2[15]);
step1[15] = WRAPLOW(step2[14] + step2[15]);
step1[16] = step2[16];
step1[31] = step2[31];
temp1 = -step2[17] * cospi_4_64 + step2[30] * cospi_28_64;
temp2 = step2[17] * cospi_28_64 + step2[30] * cospi_4_64;
step1[17] = WRAPLOW(dct_const_round_shift(temp1));
step1[30] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = -step2[18] * cospi_28_64 - step2[29] * cospi_4_64;
temp2 = -step2[18] * cospi_4_64 + step2[29] * cospi_28_64;
step1[18] = WRAPLOW(dct_const_round_shift(temp1));
step1[29] = WRAPLOW(dct_const_round_shift(temp2));
step1[19] = step2[19];
step1[20] = step2[20];
temp1 = -step2[21] * cospi_20_64 + step2[26] * cospi_12_64;
temp2 = step2[21] * cospi_12_64 + step2[26] * cospi_20_64;
step1[21] = WRAPLOW(dct_const_round_shift(temp1));
step1[26] = WRAPLOW(dct_const_round_shift(temp2));
temp1 = -step2[22] * cospi_12_64 - step2[25] * cospi_20_64;
temp2 = -step2[22] * cospi_20_64 + step2[25] * cospi_12_64;
step1[22] = WRAPLOW(dct_const_round_shift(temp1));
step1[25] = WRAPLOW(dct_const_round_shift(temp2));
step1[23] = step2[23];
step1[24] = step2[24];