ref: 8676fda34cfd0c0cb92b39b0a8ad203b906e062c
dir: /src/itx_1d.c/
/*
* Copyright © 2018, VideoLAN and dav1d authors
* Copyright © 2018, Two Orioles, LLC
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "config.h"
#include <stddef.h>
#include <stdint.h>
#include "common/attributes.h"
static void NOINLINE
inv_dct4_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
const int in0 = in[0 * in_s], in1 = in[1 * in_s];
const int in2 = in[2 * in_s], in3 = in[3 * in_s];
int t0 = ((in0 + in2) * 2896 + 2048) >> 12;
int t1 = ((in0 - in2) * 2896 + 2048) >> 12;
int t2 = (in1 * 1567 - in3 * 3784 + 2048) >> 12;
int t3 = (in1 * 3784 + in3 * 1567 + 2048) >> 12;
out[0 * out_s] = t0 + t3;
out[1 * out_s] = t1 + t2;
out[2 * out_s] = t1 - t2;
out[3 * out_s] = t0 - t3;
}
static void NOINLINE
inv_dct8_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
coef tmp[4];
inv_dct4_1d(in, in_s * 2, tmp, 1);
const int in1 = in[1 * in_s], in3 = in[3 * in_s];
const int in5 = in[5 * in_s], in7 = in[7 * in_s];
int t4a = (in1 * 799 - in7 * 4017 + 2048) >> 12;
int t5a = (in5 * 3406 - in3 * 2276 + 2048) >> 12;
int t6a = (in5 * 2276 + in3 * 3406 + 2048) >> 12;
int t7a = (in1 * 4017 + in7 * 799 + 2048) >> 12;
int t4 = t4a + t5a;
t5a = t4a - t5a;
int t7 = t7a + t6a;
t6a = t7a - t6a;
int t5 = ((t6a - t5a) * 2896 + 2048) >> 12;
int t6 = ((t6a + t5a) * 2896 + 2048) >> 12;
out[0 * out_s] = tmp[0] + t7;
out[1 * out_s] = tmp[1] + t6;
out[2 * out_s] = tmp[2] + t5;
out[3 * out_s] = tmp[3] + t4;
out[4 * out_s] = tmp[3] - t4;
out[5 * out_s] = tmp[2] - t5;
out[6 * out_s] = tmp[1] - t6;
out[7 * out_s] = tmp[0] - t7;
}
static void NOINLINE
inv_dct16_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
coef tmp[8];
inv_dct8_1d(in, in_s * 2, tmp, 1);
const int in1 = in[ 1 * in_s], in3 = in[ 3 * in_s];
const int in5 = in[ 5 * in_s], in7 = in[ 7 * in_s];
const int in9 = in[ 9 * in_s], in11 = in[11 * in_s];
const int in13 = in[13 * in_s], in15 = in[15 * in_s];
int t8a = (in1 * 401 - in15 * 4076 + 2048) >> 12;
int t15a = (in1 * 4076 + in15 * 401 + 2048) >> 12;
int t9a = (in9 * 3166 - in7 * 2598 + 2048) >> 12;
int t14a = (in9 * 2598 + in7 * 3166 + 2048) >> 12;
int t10a = (in5 * 1931 - in11 * 3612 + 2048) >> 12;
int t13a = (in5 * 3612 + in11 * 1931 + 2048) >> 12;
int t11a = (in13 * 3920 - in3 * 1189 + 2048) >> 12;
int t12a = (in13 * 1189 + in3 * 3920 + 2048) >> 12;
int t8 = t8a + t9a;
int t9 = t8a - t9a;
int t10 = t11a - t10a;
int t11 = t11a + t10a;
int t12 = t12a + t13a;
int t13 = t12a - t13a;
int t14 = t15a - t14a;
int t15 = t15a + t14a;
t9a = ( t14 * 1567 - t9 * 3784 + 2048) >> 12;
t14a = ( t14 * 3784 + t9 * 1567 + 2048) >> 12;
t10a = (-(t13 * 3784 + t10 * 1567) + 2048) >> 12;
t13a = ( t13 * 1567 - t10 * 3784 + 2048) >> 12;
t8a = t8 + t11;
t9 = t9a + t10a;
t10 = t9a - t10a;
t11a = t8 - t11;
t12a = t15 - t12;
t13 = t14a - t13a;
t14 = t14a + t13a;
t15a = t15 + t12;
t10a = ((t13 - t10) * 2896 + 2048) >> 12;
t13a = ((t13 + t10) * 2896 + 2048) >> 12;
t11 = ((t12a - t11a) * 2896 + 2048) >> 12;
t12 = ((t12a + t11a) * 2896 + 2048) >> 12;
out[ 0 * out_s] = tmp[0] + t15a;
out[ 1 * out_s] = tmp[1] + t14;
out[ 2 * out_s] = tmp[2] + t13a;
out[ 3 * out_s] = tmp[3] + t12;
out[ 4 * out_s] = tmp[4] + t11;
out[ 5 * out_s] = tmp[5] + t10a;
out[ 6 * out_s] = tmp[6] + t9;
out[ 7 * out_s] = tmp[7] + t8a;
out[ 8 * out_s] = tmp[7] - t8a;
out[ 9 * out_s] = tmp[6] - t9;
out[10 * out_s] = tmp[5] - t10a;
out[11 * out_s] = tmp[4] - t11;
out[12 * out_s] = tmp[3] - t12;
out[13 * out_s] = tmp[2] - t13a;
out[14 * out_s] = tmp[1] - t14;
out[15 * out_s] = tmp[0] - t15a;
}
static void NOINLINE
inv_dct32_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
coef tmp[16];
inv_dct16_1d(in, in_s * 2, tmp, 1);
const int in1 = in[ 1 * in_s], in3 = in[ 3 * in_s];
const int in5 = in[ 5 * in_s], in7 = in[ 7 * in_s];
const int in9 = in[ 9 * in_s], in11 = in[11 * in_s];
const int in13 = in[13 * in_s], in15 = in[15 * in_s];
const int in17 = in[17 * in_s], in19 = in[19 * in_s];
const int in21 = in[21 * in_s], in23 = in[23 * in_s];
const int in25 = in[25 * in_s], in27 = in[27 * in_s];
const int in29 = in[29 * in_s], in31 = in[31 * in_s];
int t16a = (in1 * 201 - in31 * 4091 + 2048) >> 12;
int t31a = (in1 * 4091 + in31 * 201 + 2048) >> 12;
int t17a = (in17 * 3035 - in15 * 2751 + 2048) >> 12;
int t30a = (in17 * 2751 + in15 * 3035 + 2048) >> 12;
int t18a = (in9 * 1751 - in23 * 3703 + 2048) >> 12;
int t29a = (in9 * 3703 + in23 * 1751 + 2048) >> 12;
int t19a = (in25 * 3857 - in7 * 1380 + 2048) >> 12;
int t28a = (in25 * 1380 + in7 * 3857 + 2048) >> 12;
int t20a = (in5 * 995 - in27 * 3973 + 2048) >> 12;
int t27a = (in5 * 3973 + in27 * 995 + 2048) >> 12;
int t21a = (in21 * 3513 - in11 * 2106 + 2048) >> 12;
int t26a = (in21 * 2106 + in11 * 3513 + 2048) >> 12;
int t22a = (in13 * 2440 - in19 * 3290 + 2048) >> 12;
int t25a = (in13 * 3290 + in19 * 2440 + 2048) >> 12;
int t23a = (in29 * 4052 - in3 * 601 + 2048) >> 12;
int t24a = (in29 * 601 + in3 * 4052 + 2048) >> 12;
int t16 = t16a + t17a;
int t17 = t16a - t17a;
int t18 = t19a - t18a;
int t19 = t19a + t18a;
int t20 = t20a + t21a;
int t21 = t20a - t21a;
int t22 = t23a - t22a;
int t23 = t23a + t22a;
int t24 = t24a + t25a;
int t25 = t24a - t25a;
int t26 = t27a - t26a;
int t27 = t27a + t26a;
int t28 = t28a + t29a;
int t29 = t28a - t29a;
int t30 = t31a - t30a;
int t31 = t31a + t30a;
t17a = ( t30 * 799 - t17 * 4017 + 2048) >> 12;
t30a = ( t30 * 4017 + t17 * 799 + 2048) >> 12;
t18a = (-(t29 * 4017 + t18 * 799) + 2048) >> 12;
t29a = ( t29 * 799 - t18 * 4017 + 2048) >> 12;
t21a = ( t26 * 3406 - t21 * 2276 + 2048) >> 12;
t26a = ( t26 * 2276 + t21 * 3406 + 2048) >> 12;
t22a = (-(t25 * 2276 + t22 * 3406) + 2048) >> 12;
t25a = ( t25 * 3406 - t22 * 2276 + 2048) >> 12;
t16a = t16 + t19;
t17 = t17a + t18a;
t18 = t17a - t18a;
t19a = t16 - t19;
t20a = t23 - t20;
t21 = t22a - t21a;
t22 = t22a + t21a;
t23a = t23 + t20;
t24a = t24 + t27;
t25 = t25a + t26a;
t26 = t25a - t26a;
t27a = t24 - t27;
t28a = t31 - t28;
t29 = t30a - t29a;
t30 = t30a + t29a;
t31a = t31 + t28;
t18a = ( t29 * 1567 - t18 * 3784 + 2048) >> 12;
t29a = ( t29 * 3784 + t18 * 1567 + 2048) >> 12;
t19 = ( t28a * 1567 - t19a * 3784 + 2048) >> 12;
t28 = ( t28a * 3784 + t19a * 1567 + 2048) >> 12;
t20 = (-(t27a * 3784 + t20a * 1567) + 2048) >> 12;
t27 = ( t27a * 1567 - t20a * 3784 + 2048) >> 12;
t21a = (-(t26 * 3784 + t21 * 1567) + 2048) >> 12;
t26a = ( t26 * 1567 - t21 * 3784 + 2048) >> 12;
t16 = t16a + t23a;
t17a = t17 + t22;
t18 = t18a + t21a;
t19a = t19 + t20;
t20a = t19 - t20;
t21 = t18a - t21a;
t22a = t17 - t22;
t23 = t16a - t23a;
t24 = t31a - t24a;
t25a = t30 - t25;
t26 = t29a - t26a;
t27a = t28 - t27;
t28a = t28 + t27;
t29 = t29a + t26a;
t30a = t30 + t25;
t31 = t31a + t24a;
t20 = ((t27a - t20a) * 2896 + 2048) >> 12;
t27 = ((t27a + t20a) * 2896 + 2048) >> 12;
t21a = ((t26 - t21 ) * 2896 + 2048) >> 12;
t26a = ((t26 + t21 ) * 2896 + 2048) >> 12;
t22 = ((t25a - t22a) * 2896 + 2048) >> 12;
t25 = ((t25a + t22a) * 2896 + 2048) >> 12;
t23a = ((t24 - t23 ) * 2896 + 2048) >> 12;
t24a = ((t24 + t23 ) * 2896 + 2048) >> 12;
out[ 0 * out_s] = tmp[ 0] + t31;
out[ 1 * out_s] = tmp[ 1] + t30a;
out[ 2 * out_s] = tmp[ 2] + t29;
out[ 3 * out_s] = tmp[ 3] + t28a;
out[ 4 * out_s] = tmp[ 4] + t27;
out[ 5 * out_s] = tmp[ 5] + t26a;
out[ 6 * out_s] = tmp[ 6] + t25;
out[ 7 * out_s] = tmp[ 7] + t24a;
out[ 8 * out_s] = tmp[ 8] + t23a;
out[ 9 * out_s] = tmp[ 9] + t22;
out[10 * out_s] = tmp[10] + t21a;
out[11 * out_s] = tmp[11] + t20;
out[12 * out_s] = tmp[12] + t19a;
out[13 * out_s] = tmp[13] + t18;
out[14 * out_s] = tmp[14] + t17a;
out[15 * out_s] = tmp[15] + t16;
out[16 * out_s] = tmp[15] - t16;
out[17 * out_s] = tmp[14] - t17a;
out[18 * out_s] = tmp[13] - t18;
out[19 * out_s] = tmp[12] - t19a;
out[20 * out_s] = tmp[11] - t20;
out[21 * out_s] = tmp[10] - t21a;
out[22 * out_s] = tmp[ 9] - t22;
out[23 * out_s] = tmp[ 8] - t23a;
out[24 * out_s] = tmp[ 7] - t24a;
out[25 * out_s] = tmp[ 6] - t25;
out[26 * out_s] = tmp[ 5] - t26a;
out[27 * out_s] = tmp[ 4] - t27;
out[28 * out_s] = tmp[ 3] - t28a;
out[29 * out_s] = tmp[ 2] - t29;
out[30 * out_s] = tmp[ 1] - t30a;
out[31 * out_s] = tmp[ 0] - t31;
}
static void NOINLINE
inv_dct64_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
coef tmp[32];
inv_dct32_1d(in, in_s * 2, tmp, 1);
const int in1 = in[ 1 * in_s], in3 = in[ 3 * in_s];
const int in5 = in[ 5 * in_s], in7 = in[ 7 * in_s];
const int in9 = in[ 9 * in_s], in11 = in[11 * in_s];
const int in13 = in[13 * in_s], in15 = in[15 * in_s];
const int in17 = in[17 * in_s], in19 = in[19 * in_s];
const int in21 = in[21 * in_s], in23 = in[23 * in_s];
const int in25 = in[25 * in_s], in27 = in[27 * in_s];
const int in29 = in[29 * in_s], in31 = in[31 * in_s];
const int in33 = in[33 * in_s], in35 = in[35 * in_s];
const int in37 = in[37 * in_s], in39 = in[39 * in_s];
const int in41 = in[41 * in_s], in43 = in[43 * in_s];
const int in45 = in[45 * in_s], in47 = in[47 * in_s];
const int in49 = in[49 * in_s], in51 = in[51 * in_s];
const int in53 = in[53 * in_s], in55 = in[55 * in_s];
const int in57 = in[57 * in_s], in59 = in[59 * in_s];
const int in61 = in[61 * in_s], in63 = in[63 * in_s];
int t32a = (in1 * 101 - in63 * 4095 + 2048) >> 12;
int t33a = (in33 * 2967 - in31 * 2824 + 2048) >> 12;
int t34a = (in17 * 1660 - in47 * 3745 + 2048) >> 12;
int t35a = (in49 * 3822 - in15 * 1474 + 2048) >> 12;
int t36a = (in9 * 897 - in55 * 3996 + 2048) >> 12;
int t37a = (in41 * 3461 - in23 * 2191 + 2048) >> 12;
int t38a = (in25 * 2359 - in39 * 3349 + 2048) >> 12;
int t39a = (in57 * 4036 - in7 * 700 + 2048) >> 12;
int t40a = (in5 * 501 - in59 * 4065 + 2048) >> 12;
int t41a = (in37 * 3229 - in27 * 2520 + 2048) >> 12;
int t42a = (in21 * 2019 - in43 * 3564 + 2048) >> 12;
int t43a = (in53 * 3948 - in11 * 1092 + 2048) >> 12;
int t44a = (in13 * 1285 - in51 * 3889 + 2048) >> 12;
int t45a = (in45 * 3659 - in19 * 1842 + 2048) >> 12;
int t46a = (in29 * 2675 - in35 * 3102 + 2048) >> 12;
int t47a = (in61 * 4085 - in3 * 301 + 2048) >> 12;
int t48a = (in61 * 301 + in3 * 4085 + 2048) >> 12;
int t49a = (in29 * 3102 + in35 * 2675 + 2048) >> 12;
int t50a = (in45 * 1842 + in19 * 3659 + 2048) >> 12;
int t51a = (in13 * 3889 + in51 * 1285 + 2048) >> 12;
int t52a = (in53 * 1092 + in11 * 3948 + 2048) >> 12;
int t53a = (in21 * 3564 + in43 * 2019 + 2048) >> 12;
int t54a = (in37 * 2520 + in27 * 3229 + 2048) >> 12;
int t55a = (in5 * 4065 + in59 * 501 + 2048) >> 12;
int t56a = (in57 * 700 + in7 * 4036 + 2048) >> 12;
int t57a = (in25 * 3349 + in39 * 2359 + 2048) >> 12;
int t58a = (in41 * 2191 + in23 * 3461 + 2048) >> 12;
int t59a = (in9 * 3996 + in55 * 897 + 2048) >> 12;
int t60a = (in49 * 1474 + in15 * 3822 + 2048) >> 12;
int t61a = (in17 * 3745 + in47 * 1660 + 2048) >> 12;
int t62a = (in33 * 2824 + in31 * 2967 + 2048) >> 12;
int t63a = (in1 * 4095 + in63 * 101 + 2048) >> 12;
int t32 = t32a + t33a;
int t33 = t32a - t33a;
int t34 = t35a - t34a;
int t35 = t35a + t34a;
int t36 = t36a + t37a;
int t37 = t36a - t37a;
int t38 = t39a - t38a;
int t39 = t39a + t38a;
int t40 = t40a + t41a;
int t41 = t40a - t41a;
int t42 = t43a - t42a;
int t43 = t43a + t42a;
int t44 = t44a + t45a;
int t45 = t44a - t45a;
int t46 = t47a - t46a;
int t47 = t47a + t46a;
int t48 = t48a + t49a;
int t49 = t48a - t49a;
int t50 = t51a - t50a;
int t51 = t51a + t50a;
int t52 = t52a + t53a;
int t53 = t52a - t53a;
int t54 = t55a - t54a;
int t55 = t55a + t54a;
int t56 = t56a + t57a;
int t57 = t56a - t57a;
int t58 = t59a - t58a;
int t59 = t59a + t58a;
int t60 = t60a + t61a;
int t61 = t60a - t61a;
int t62 = t63a - t62a;
int t63 = t63a + t62a;
t33a = (t33 * -4076 + t62 * 401 + 2048) >> 12;
t34a = (t34 * - 401 + t61 * -4076 + 2048) >> 12;
t37a = (t37 * -2598 + t58 * 3166 + 2048) >> 12;
t38a = (t38 * -3166 + t57 * -2598 + 2048) >> 12;
t41a = (t41 * -3612 + t54 * 1931 + 2048) >> 12;
t42a = (t42 * -1931 + t53 * -3612 + 2048) >> 12;
t45a = (t45 * -1189 + t50 * 3920 + 2048) >> 12;
t46a = (t46 * -3920 + t49 * -1189 + 2048) >> 12;
t49a = (t46 * -1189 + t49 * 3920 + 2048) >> 12;
t50a = (t45 * 3920 + t50 * 1189 + 2048) >> 12;
t53a = (t42 * -3612 + t53 * 1931 + 2048) >> 12;
t54a = (t41 * 1931 + t54 * 3612 + 2048) >> 12;
t57a = (t38 * -2598 + t57 * 3166 + 2048) >> 12;
t58a = (t37 * 3166 + t58 * 2598 + 2048) >> 12;
t61a = (t34 * -4076 + t61 * 401 + 2048) >> 12;
t62a = (t33 * 401 + t62 * 4076 + 2048) >> 12;
t32a = t32 + t35;
t33 = t33a + t34a;
t34 = t33a - t34a;
t35a = t32 - t35;
t36a = t39 - t36;
t37 = t38a - t37a;
t38 = t38a + t37a;
t39a = t39 + t36;
t40a = t40 + t43;
t41 = t41a + t42a;
t42 = t41a - t42a;
t43a = t40 - t43;
t44a = t47 - t44;
t45 = t46a - t45a;
t46 = t46a + t45a;
t47a = t47 + t44;
t48a = t48 + t51;
t49 = t49a + t50a;
t50 = t49a - t50a;
t51a = t48 - t51;
t52a = t55 - t52;
t53 = t54a - t53a;
t54 = t54a + t53a;
t55a = t55 + t52;
t56a = t56 + t59;
t57 = t57a + t58a;
t58 = t57a - t58a;
t59a = t56 - t59;
t60a = t63 - t60;
t61 = t62a - t61a;
t62 = t62a + t61a;
t63a = t63 + t60;
t34a = (t34 * -4017 + t61 * 799 + 2048) >> 12;
t35 = (t35a * -4017 + t60a * 799 + 2048) >> 12;
t36 = (t36a * - 799 + t59a * -4017 + 2048) >> 12;
t37a = (t37 * - 799 + t58 * -4017 + 2048) >> 12;
t42a = (t42 * -2276 + t53 * 3406 + 2048) >> 12;
t43 = (t43a * -2276 + t52a * 3406 + 2048) >> 12;
t44 = (t44a * -3406 + t51a * -2276 + 2048) >> 12;
t45a = (t45 * -3406 + t50 * -2276 + 2048) >> 12;
t50a = (t45 * -2276 + t50 * 3406 + 2048) >> 12;
t51 = (t44a * -2276 + t51a * 3406 + 2048) >> 12;
t52 = (t43a * 3406 + t52a * 2276 + 2048) >> 12;
t53a = (t42 * 3406 + t53 * 2276 + 2048) >> 12;
t58a = (t37 * -4017 + t58 * 799 + 2048) >> 12;
t59 = (t36a * -4017 + t59a * 799 + 2048) >> 12;
t60 = (t35a * 799 + t60a * 4017 + 2048) >> 12;
t61a = (t34 * 799 + t61 * 4017 + 2048) >> 12;
t32 = t32a + t39a;
t33a = t33 + t38;
t34 = t34a + t37a;
t35a = t35 + t36;
t36a = t35 - t36;
t37 = t34a - t37a;
t38a = t33 - t38;
t39 = t32a - t39a;
t40 = t47a - t40a;
t41a = t46 - t41;
t42 = t45a - t42a;
t43a = t44 - t43;
t44a = t44 + t43;
t45 = t45a + t42a;
t46a = t46 + t41;
t47 = t47a + t40a;
t48 = t48a + t55a;
t49a = t49 + t54;
t50 = t50a + t53a;
t51a = t51 + t52;
t52a = t51 - t52;
t53 = t50a - t53a;
t54a = t49 - t54;
t55 = t48a - t55a;
t56 = t63a - t56a;
t57a = t62 - t57;
t58 = t61a - t58a;
t59a = t60 - t59;
t60a = t60 + t59;
t61 = t61a + t58a;
t62a = t62 + t57;
t63 = t63a + t56a;
t36 = (t36a * -3784 + t59a * 1567 + 2048) >> 12;
t37a = (t37 * -3784 + t58 * 1567 + 2048) >> 12;
t38 = (t38a * -3784 + t57a * 1567 + 2048) >> 12;
t39a = (t39 * -3784 + t56 * 1567 + 2048) >> 12;
t40a = (t40 * -1567 + t55 * -3784 + 2048) >> 12;
t41 = (t41a * -1567 + t54a * -3784 + 2048) >> 12;
t42a = (t42 * -1567 + t53 * -3784 + 2048) >> 12;
t43 = (t43a * -1567 + t52a * -3784 + 2048) >> 12;
t52 = (t43a * -3784 + t52a * 1567 + 2048) >> 12;
t53a = (t42 * -3784 + t53 * 1567 + 2048) >> 12;
t54 = (t41a * -3784 + t54a * 1567 + 2048) >> 12;
t55a = (t40 * -3784 + t55 * 1567 + 2048) >> 12;
t56a = (t39 * 1567 + t56 * 3784 + 2048) >> 12;
t57 = (t38a * 1567 + t57a * 3784 + 2048) >> 12;
t58a = (t37 * 1567 + t58 * 3784 + 2048) >> 12;
t59 = (t36a * 1567 + t59a * 3784 + 2048) >> 12;
t32a = t32 + t47;
t33 = t33a + t46a;
t34a = t34 + t45;
t35 = t35a + t44a;
t36a = t36 + t43;
t37 = t37a + t42a;
t38a = t38 + t41;
t39 = t39a + t40a;
t40 = t39a - t40a;
t41a = t38 - t41;
t42 = t37a - t42a;
t43a = t36 - t43;
t44 = t35a - t44a;
t45a = t34 - t45;
t46 = t33a - t46a;
t47a = t32 - t47;
t48a = t63 - t48;
t49 = t62a - t49a;
t50a = t61 - t50;
t51 = t60a - t51a;
t52a = t59 - t52;
t53 = t58a - t53a;
t54a = t57 - t54;
t55 = t56a - t55a;
t56 = t56a + t55a;
t57a = t57 + t54;
t58 = t58a + t53a;
t59a = t59 + t52;
t60 = t60a + t51a;
t61a = t61 + t50;
t62 = t62a + t49a;
t63a = t63 + t48;
t40a = (t40 * -2896 + t55 * 2896 + 2048) >> 12;
t41 = (t41a * -2896 + t54a * 2896 + 2048) >> 12;
t42a = (t42 * -2896 + t53 * 2896 + 2048) >> 12;
t43 = (t43a * -2896 + t52a * 2896 + 2048) >> 12;
t44a = (t44 * -2896 + t51 * 2896 + 2048) >> 12;
t45 = (t45a * -2896 + t50a * 2896 + 2048) >> 12;
t46a = (t46 * -2896 + t49 * 2896 + 2048) >> 12;
t47 = (t47a * -2896 + t48a * 2896 + 2048) >> 12;
t48 = (t47a * 2896 + t48a * 2896 + 2048) >> 12;
t49a = (t46 * 2896 + t49 * 2896 + 2048) >> 12;
t50 = (t45a * 2896 + t50a * 2896 + 2048) >> 12;
t51a = (t44 * 2896 + t51 * 2896 + 2048) >> 12;
t52 = (t43a * 2896 + t52a * 2896 + 2048) >> 12;
t53a = (t42 * 2896 + t53 * 2896 + 2048) >> 12;
t54 = (t41a * 2896 + t54a * 2896 + 2048) >> 12;
t55a = (t40 * 2896 + t55 * 2896 + 2048) >> 12;
out[ 0 * out_s] = tmp[ 0] + t63a;
out[ 1 * out_s] = tmp[ 1] + t62;
out[ 2 * out_s] = tmp[ 2] + t61a;
out[ 3 * out_s] = tmp[ 3] + t60;
out[ 4 * out_s] = tmp[ 4] + t59a;
out[ 5 * out_s] = tmp[ 5] + t58;
out[ 6 * out_s] = tmp[ 6] + t57a;
out[ 7 * out_s] = tmp[ 7] + t56;
out[ 8 * out_s] = tmp[ 8] + t55a;
out[ 9 * out_s] = tmp[ 9] + t54;
out[10 * out_s] = tmp[10] + t53a;
out[11 * out_s] = tmp[11] + t52;
out[12 * out_s] = tmp[12] + t51a;
out[13 * out_s] = tmp[13] + t50;
out[14 * out_s] = tmp[14] + t49a;
out[15 * out_s] = tmp[15] + t48;
out[16 * out_s] = tmp[16] + t47;
out[17 * out_s] = tmp[17] + t46a;
out[18 * out_s] = tmp[18] + t45;
out[19 * out_s] = tmp[19] + t44a;
out[20 * out_s] = tmp[20] + t43;
out[21 * out_s] = tmp[21] + t42a;
out[22 * out_s] = tmp[22] + t41;
out[23 * out_s] = tmp[23] + t40a;
out[24 * out_s] = tmp[24] + t39;
out[25 * out_s] = tmp[25] + t38a;
out[26 * out_s] = tmp[26] + t37;
out[27 * out_s] = tmp[27] + t36a;
out[28 * out_s] = tmp[28] + t35;
out[29 * out_s] = tmp[29] + t34a;
out[30 * out_s] = tmp[30] + t33;
out[31 * out_s] = tmp[31] + t32a;
out[32 * out_s] = tmp[31] - t32a;
out[33 * out_s] = tmp[30] - t33;
out[34 * out_s] = tmp[29] - t34a;
out[35 * out_s] = tmp[28] - t35;
out[36 * out_s] = tmp[27] - t36a;
out[37 * out_s] = tmp[26] - t37;
out[38 * out_s] = tmp[25] - t38a;
out[39 * out_s] = tmp[24] - t39;
out[40 * out_s] = tmp[23] - t40a;
out[41 * out_s] = tmp[22] - t41;
out[42 * out_s] = tmp[21] - t42a;
out[43 * out_s] = tmp[20] - t43;
out[44 * out_s] = tmp[19] - t44a;
out[45 * out_s] = tmp[18] - t45;
out[46 * out_s] = tmp[17] - t46a;
out[47 * out_s] = tmp[16] - t47;
out[48 * out_s] = tmp[15] - t48;
out[49 * out_s] = tmp[14] - t49a;
out[50 * out_s] = tmp[13] - t50;
out[51 * out_s] = tmp[12] - t51a;
out[52 * out_s] = tmp[11] - t52;
out[53 * out_s] = tmp[10] - t53a;
out[54 * out_s] = tmp[ 9] - t54;
out[55 * out_s] = tmp[ 8] - t55a;
out[56 * out_s] = tmp[ 7] - t56;
out[57 * out_s] = tmp[ 6] - t57a;
out[58 * out_s] = tmp[ 5] - t58;
out[59 * out_s] = tmp[ 4] - t59a;
out[60 * out_s] = tmp[ 3] - t60;
out[61 * out_s] = tmp[ 2] - t61a;
out[62 * out_s] = tmp[ 1] - t62;
out[63 * out_s] = tmp[ 0] - t63a;
}
static void NOINLINE
inv_adst4_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
const int in0 = in[0 * in_s], in1 = in[1 * in_s];
const int in2 = in[2 * in_s], in3 = in[3 * in_s];
int t0 = 1321 * in0 + 3803 * in2 + 2482 * in3;
int t1 = 2482 * in0 - 1321 * in2 - 3803 * in3;
int t2 = 3344 * (in0 - in2 + in3);
int t3 = 3344 * in1;
out[0 * out_s] = (t0 + t3 + 2048) >> 12;
out[1 * out_s] = (t1 + t3 + 2048) >> 12;
out[2 * out_s] = (t2 + 2048) >> 12;
out[3 * out_s] = (t0 + t1 - t3 + 2048) >> 12;
}
static void NOINLINE
inv_adst8_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
const int in0 = in[0 * in_s], in1 = in[1 * in_s];
const int in2 = in[2 * in_s], in3 = in[3 * in_s];
const int in4 = in[4 * in_s], in5 = in[5 * in_s];
const int in6 = in[6 * in_s], in7 = in[7 * in_s];
int t0a = (4076 * in7 + 401 * in0 + 2048) >> 12;
int t1a = ( 401 * in7 - 4076 * in0 + 2048) >> 12;
int t2a = (3612 * in5 + 1931 * in2 + 2048) >> 12;
int t3a = (1931 * in5 - 3612 * in2 + 2048) >> 12;
int t4a = (2598 * in3 + 3166 * in4 + 2048) >> 12;
int t5a = (3166 * in3 - 2598 * in4 + 2048) >> 12;
int t6a = (1189 * in1 + 3920 * in6 + 2048) >> 12;
int t7a = (3920 * in1 - 1189 * in6 + 2048) >> 12;
int t0 = t0a + t4a;
int t1 = t1a + t5a;
int t2 = t2a + t6a;
int t3 = t3a + t7a;
int t4 = t0a - t4a;
int t5 = t1a - t5a;
int t6 = t2a - t6a;
int t7 = t3a - t7a;
t4a = (3784 * t4 + 1567 * t5 + 2048) >> 12;
t5a = (1567 * t4 - 3784 * t5 + 2048) >> 12;
t6a = (3784 * t7 - 1567 * t6 + 2048) >> 12;
t7a = (1567 * t7 + 3784 * t6 + 2048) >> 12;
out[0 * out_s] = t0 + t2;
out[7 * out_s] = -(t1 + t3);
t2 = t0 - t2;
t3 = t1 - t3;
out[1 * out_s] = -(t4a + t6a);
out[6 * out_s] = t5a + t7a;
t6 = t4a - t6a;
t7 = t5a - t7a;
out[3 * out_s] = -(((t2 + t3) * 2896 + 2048) >> 12);
out[4 * out_s] = ((t2 - t3) * 2896 + 2048) >> 12;
out[2 * out_s] = ((t6 + t7) * 2896 + 2048) >> 12;
out[5 * out_s] = -(((t6 - t7) * 2896 + 2048) >> 12);
}
static void NOINLINE
inv_adst16_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
const int in0 = in[ 0 * in_s], in1 = in[ 1 * in_s];
const int in2 = in[ 2 * in_s], in3 = in[ 3 * in_s];
const int in4 = in[ 4 * in_s], in5 = in[ 5 * in_s];
const int in6 = in[ 6 * in_s], in7 = in[ 7 * in_s];
const int in8 = in[ 8 * in_s], in9 = in[ 9 * in_s];
const int in10 = in[10 * in_s], in11 = in[11 * in_s];
const int in12 = in[12 * in_s], in13 = in[13 * in_s];
const int in14 = in[14 * in_s], in15 = in[15 * in_s];
int t0 = (in15 * 4091 + in0 * 201 + 2048) >> 12;
int t1 = (in15 * 201 - in0 * 4091 + 2048) >> 12;
int t2 = (in13 * 3973 + in2 * 995 + 2048) >> 12;
int t3 = (in13 * 995 - in2 * 3973 + 2048) >> 12;
int t4 = (in11 * 3703 + in4 * 1751 + 2048) >> 12;
int t5 = (in11 * 1751 - in4 * 3703 + 2048) >> 12;
int t6 = (in9 * 3290 + in6 * 2440 + 2048) >> 12;
int t7 = (in9 * 2440 - in6 * 3290 + 2048) >> 12;
int t8 = (in7 * 2751 + in8 * 3035 + 2048) >> 12;
int t9 = (in7 * 3035 - in8 * 2751 + 2048) >> 12;
int t10 = (in5 * 2106 + in10 * 3513 + 2048) >> 12;
int t11 = (in5 * 3513 - in10 * 2106 + 2048) >> 12;
int t12 = (in3 * 1380 + in12 * 3857 + 2048) >> 12;
int t13 = (in3 * 3857 - in12 * 1380 + 2048) >> 12;
int t14 = (in1 * 601 + in14 * 4052 + 2048) >> 12;
int t15 = (in1 * 4052 - in14 * 601 + 2048) >> 12;
int t0a = t0 + t8;
int t1a = t1 + t9;
int t2a = t2 + t10;
int t3a = t3 + t11;
int t4a = t4 + t12;
int t5a = t5 + t13;
int t6a = t6 + t14;
int t7a = t7 + t15;
int t8a = t0 - t8;
int t9a = t1 - t9;
int t10a = t2 - t10;
int t11a = t3 - t11;
int t12a = t4 - t12;
int t13a = t5 - t13;
int t14a = t6 - t14;
int t15a = t7 - t15;
t8 = (t8a * 4017 + t9a * 799 + 2048) >> 12;
t9 = (t8a * 799 - t9a * 4017 + 2048) >> 12;
t10 = (t10a * 2276 + t11a * 3406 + 2048) >> 12;
t11 = (t10a * 3406 - t11a * 2276 + 2048) >> 12;
t12 = (t13a * 4017 - t12a * 799 + 2048) >> 12;
t13 = (t13a * 799 + t12a * 4017 + 2048) >> 12;
t14 = (t15a * 2276 - t14a * 3406 + 2048) >> 12;
t15 = (t15a * 3406 + t14a * 2276 + 2048) >> 12;
t0 = t0a + t4a;
t1 = t1a + t5a;
t2 = t2a + t6a;
t3 = t3a + t7a;
t4 = t0a - t4a;
t5 = t1a - t5a;
t6 = t2a - t6a;
t7 = t3a - t7a;
t8a = t8 + t12;
t9a = t9 + t13;
t10a = t10 + t14;
t11a = t11 + t15;
t12a = t8 - t12;
t13a = t9 - t13;
t14a = t10 - t14;
t15a = t11 - t15;
t4a = (t4 * 3784 + t5 * 1567 + 2048) >> 12;
t5a = (t4 * 1567 - t5 * 3784 + 2048) >> 12;
t6a = (t7 * 3784 - t6 * 1567 + 2048) >> 12;
t7a = (t7 * 1567 + t6 * 3784 + 2048) >> 12;
t12 = (t12a * 3784 + t13a * 1567 + 2048) >> 12;
t13 = (t12a * 1567 - t13a * 3784 + 2048) >> 12;
t14 = (t15a * 3784 - t14a * 1567 + 2048) >> 12;
t15 = (t15a * 1567 + t14a * 3784 + 2048) >> 12;
out[ 0 * out_s] = t0 + t2;
out[15 * out_s] = -(t1 + t3);
t2a = t0 - t2;
t3a = t1 - t3;
out[ 3 * out_s] = -(t4a + t6a);
out[12 * out_s] = t5a + t7a;
t6 = t4a - t6a;
t7 = t5a - t7a;
out[ 1 * out_s] = -(t8a + t10a);
out[14 * out_s] = t9a + t11a;
t10 = t8a - t10a;
t11 = t9a - t11a;
out[ 2 * out_s] = t12 + t14;
out[13 * out_s] = -(t13 + t15);
t14a = t12 - t14;
t15a = t13 - t15;
out[ 7 * out_s] = -(((t2a + t3a) * 2896 + 2048) >> 12);
out[ 8 * out_s] = ((t2a - t3a) * 2896 + 2048) >> 12;
out[ 4 * out_s] = ((t6 + t7) * 2896 + 2048) >> 12;
out[11 * out_s] = -(((t6 - t7) * 2896 + 2048) >> 12);
out[ 6 * out_s] = ((t10 + t11) * 2896 + 2048) >> 12;
out[ 9 * out_s] = -(((t10 - t11) * 2896 + 2048) >> 12);
out[ 5 * out_s] = -(((t14a + t15a) * 2896 + 2048) >> 12);
out[10 * out_s] = ((t14a - t15a) * 2896 + 2048) >> 12;
}
#define flip_inv_adst(sz) \
static void inv_flipadst##sz##_1d(const coef *const in, const ptrdiff_t in_s, \
coef *const out, const ptrdiff_t out_s) \
{ \
inv_adst##sz##_1d(in, in_s, &out[(sz - 1) * out_s], -out_s); \
}
flip_inv_adst(4)
flip_inv_adst(8)
flip_inv_adst(16)
#undef flip_inv_adst
static void NOINLINE
inv_identity4_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
for (int i = 0; i < 4; i++)
out[out_s * i] = (in[in_s * i] * 5793 + 2048) >> 12;
}
static void NOINLINE
inv_identity8_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
for (int i = 0; i < 8; i++)
out[out_s * i] = in[in_s * i] * 2;
}
static void NOINLINE
inv_identity16_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
for (int i = 0; i < 16; i++)
out[out_s * i] = (in[in_s * i] * 2 * 5793 + 2048) >> 12;
}
static void NOINLINE
inv_identity32_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s)
{
for (int i = 0; i < 32; i++)
out[out_s * i] = in[in_s * i] * 4;
}
static void NOINLINE
inv_wht4_1d(const coef *const in, const ptrdiff_t in_s,
coef *const out, const ptrdiff_t out_s,
const int pass)
{
const int sh = 2 * !pass;
const int in0 = in[0 * in_s] >> sh, in1 = in[1 * in_s] >> sh;
const int in2 = in[2 * in_s] >> sh, in3 = in[3 * in_s] >> sh;
const int t0 = in0 + in1;
const int t2 = in2 - in3;
const int t4 = (t0 - t2) >> 1;
const int t3 = t4 - in3;
const int t1 = t4 - in1;
out[0 * out_s] = t0 - t3;
out[1 * out_s] = t3;
out[2 * out_s] = t1;
out[3 * out_s] = t2 + t1;
}