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Copy pathvp9_dct_intrin_sse2.c
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vp9_dct_intrin_sse2.c
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/*
* Copyright (c) 2012 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 <assert.h>
#include <emmintrin.h> // SSE2
#include "./vp9_rtcd.h"
#include "./vpx_dsp_rtcd.h"
#include "vpx_dsp/txfm_common.h"
#include "vpx_dsp/x86/bitdepth_conversion_sse2.h"
#include "vpx_dsp/x86/fwd_txfm_sse2.h"
#include "vpx_dsp/x86/transpose_sse2.h"
#include "vpx_dsp/x86/txfm_common_sse2.h"
#include "vpx_ports/mem.h"
static INLINE void load_buffer_4x4(const int16_t *input, __m128i *in,
int stride) {
const __m128i k__nonzero_bias_a = _mm_setr_epi16(0, 1, 1, 1, 1, 1, 1, 1);
const __m128i k__nonzero_bias_b = _mm_setr_epi16(1, 0, 0, 0, 0, 0, 0, 0);
__m128i mask;
in[0] = _mm_loadl_epi64((const __m128i *)(input + 0 * stride));
in[1] = _mm_loadl_epi64((const __m128i *)(input + 1 * stride));
in[2] = _mm_loadl_epi64((const __m128i *)(input + 2 * stride));
in[3] = _mm_loadl_epi64((const __m128i *)(input + 3 * stride));
in[0] = _mm_slli_epi16(in[0], 4);
in[1] = _mm_slli_epi16(in[1], 4);
in[2] = _mm_slli_epi16(in[2], 4);
in[3] = _mm_slli_epi16(in[3], 4);
mask = _mm_cmpeq_epi16(in[0], k__nonzero_bias_a);
in[0] = _mm_add_epi16(in[0], mask);
in[0] = _mm_add_epi16(in[0], k__nonzero_bias_b);
}
static INLINE void write_buffer_4x4(tran_low_t *output, __m128i *res) {
const __m128i kOne = _mm_set1_epi16(1);
__m128i in01 = _mm_unpacklo_epi64(res[0], res[1]);
__m128i in23 = _mm_unpacklo_epi64(res[2], res[3]);
__m128i out01 = _mm_add_epi16(in01, kOne);
__m128i out23 = _mm_add_epi16(in23, kOne);
out01 = _mm_srai_epi16(out01, 2);
out23 = _mm_srai_epi16(out23, 2);
store_output(&out01, (output + 0 * 8));
store_output(&out23, (output + 1 * 8));
}
static INLINE void transpose_4x4(__m128i *res) {
// Combine and transpose
// 00 01 02 03 20 21 22 23
// 10 11 12 13 30 31 32 33
const __m128i tr0_0 = _mm_unpacklo_epi16(res[0], res[1]);
const __m128i tr0_1 = _mm_unpackhi_epi16(res[0], res[1]);
// 00 10 01 11 02 12 03 13
// 20 30 21 31 22 32 23 33
res[0] = _mm_unpacklo_epi32(tr0_0, tr0_1);
res[2] = _mm_unpackhi_epi32(tr0_0, tr0_1);
// 00 10 20 30 01 11 21 31
// 02 12 22 32 03 13 23 33
// only use the first 4 16-bit integers
res[1] = _mm_unpackhi_epi64(res[0], res[0]);
res[3] = _mm_unpackhi_epi64(res[2], res[2]);
}
static void fdct4_sse2(__m128i *in) {
const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
__m128i u[4], v[4];
u[0] = _mm_unpacklo_epi16(in[0], in[1]);
u[1] = _mm_unpacklo_epi16(in[3], in[2]);
v[0] = _mm_add_epi16(u[0], u[1]);
v[1] = _mm_sub_epi16(u[0], u[1]);
u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16); // 0
u[1] = _mm_madd_epi16(v[0], k__cospi_p16_m16); // 2
u[2] = _mm_madd_epi16(v[1], k__cospi_p08_p24); // 1
u[3] = _mm_madd_epi16(v[1], k__cospi_p24_m08); // 3
v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
in[0] = _mm_packs_epi32(u[0], u[1]);
in[1] = _mm_packs_epi32(u[2], u[3]);
transpose_4x4(in);
}
static void fadst4_sse2(__m128i *in) {
const __m128i k__sinpi_p01_p02 = pair_set_epi16(sinpi_1_9, sinpi_2_9);
const __m128i k__sinpi_p04_m01 = pair_set_epi16(sinpi_4_9, -sinpi_1_9);
const __m128i k__sinpi_p03_p04 = pair_set_epi16(sinpi_3_9, sinpi_4_9);
const __m128i k__sinpi_m03_p02 = pair_set_epi16(-sinpi_3_9, sinpi_2_9);
const __m128i k__sinpi_p03_p03 = _mm_set1_epi16((int16_t)sinpi_3_9);
const __m128i kZero = _mm_set1_epi16(0);
const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
__m128i u[8], v[8];
__m128i in7 = _mm_add_epi16(in[0], in[1]);
u[0] = _mm_unpacklo_epi16(in[0], in[1]);
u[1] = _mm_unpacklo_epi16(in[2], in[3]);
u[2] = _mm_unpacklo_epi16(in7, kZero);
u[3] = _mm_unpacklo_epi16(in[2], kZero);
u[4] = _mm_unpacklo_epi16(in[3], kZero);
v[0] = _mm_madd_epi16(u[0], k__sinpi_p01_p02); // s0 + s2
v[1] = _mm_madd_epi16(u[1], k__sinpi_p03_p04); // s4 + s5
v[2] = _mm_madd_epi16(u[2], k__sinpi_p03_p03); // x1
v[3] = _mm_madd_epi16(u[0], k__sinpi_p04_m01); // s1 - s3
v[4] = _mm_madd_epi16(u[1], k__sinpi_m03_p02); // -s4 + s6
v[5] = _mm_madd_epi16(u[3], k__sinpi_p03_p03); // s4
v[6] = _mm_madd_epi16(u[4], k__sinpi_p03_p03);
u[0] = _mm_add_epi32(v[0], v[1]);
u[1] = _mm_sub_epi32(v[2], v[6]);
u[2] = _mm_add_epi32(v[3], v[4]);
u[3] = _mm_sub_epi32(u[2], u[0]);
u[4] = _mm_slli_epi32(v[5], 2);
u[5] = _mm_sub_epi32(u[4], v[5]);
u[6] = _mm_add_epi32(u[3], u[5]);
v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
v[3] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
in[0] = _mm_packs_epi32(u[0], u[2]);
in[1] = _mm_packs_epi32(u[1], u[3]);
transpose_4x4(in);
}
void vp9_fht4x4_sse2(const int16_t *input, tran_low_t *output, int stride,
int tx_type) {
__m128i in[4];
switch (tx_type) {
case DCT_DCT: vpx_fdct4x4_sse2(input, output, stride); break;
case ADST_DCT:
load_buffer_4x4(input, in, stride);
fadst4_sse2(in);
fdct4_sse2(in);
write_buffer_4x4(output, in);
break;
case DCT_ADST:
load_buffer_4x4(input, in, stride);
fdct4_sse2(in);
fadst4_sse2(in);
write_buffer_4x4(output, in);
break;
default:
assert(tx_type == ADST_ADST);
load_buffer_4x4(input, in, stride);
fadst4_sse2(in);
fadst4_sse2(in);
write_buffer_4x4(output, in);
break;
}
}
// load 8x8 array
static INLINE void load_buffer_8x8(const int16_t *input, __m128i *in,
int stride) {
in[0] = _mm_load_si128((const __m128i *)(input + 0 * stride));
in[1] = _mm_load_si128((const __m128i *)(input + 1 * stride));
in[2] = _mm_load_si128((const __m128i *)(input + 2 * stride));
in[3] = _mm_load_si128((const __m128i *)(input + 3 * stride));
in[4] = _mm_load_si128((const __m128i *)(input + 4 * stride));
in[5] = _mm_load_si128((const __m128i *)(input + 5 * stride));
in[6] = _mm_load_si128((const __m128i *)(input + 6 * stride));
in[7] = _mm_load_si128((const __m128i *)(input + 7 * stride));
in[0] = _mm_slli_epi16(in[0], 2);
in[1] = _mm_slli_epi16(in[1], 2);
in[2] = _mm_slli_epi16(in[2], 2);
in[3] = _mm_slli_epi16(in[3], 2);
in[4] = _mm_slli_epi16(in[4], 2);
in[5] = _mm_slli_epi16(in[5], 2);
in[6] = _mm_slli_epi16(in[6], 2);
in[7] = _mm_slli_epi16(in[7], 2);
}
// right shift and rounding
static INLINE void right_shift_8x8(__m128i *res, const int bit) {
__m128i sign0 = _mm_srai_epi16(res[0], 15);
__m128i sign1 = _mm_srai_epi16(res[1], 15);
__m128i sign2 = _mm_srai_epi16(res[2], 15);
__m128i sign3 = _mm_srai_epi16(res[3], 15);
__m128i sign4 = _mm_srai_epi16(res[4], 15);
__m128i sign5 = _mm_srai_epi16(res[5], 15);
__m128i sign6 = _mm_srai_epi16(res[6], 15);
__m128i sign7 = _mm_srai_epi16(res[7], 15);
if (bit == 2) {
const __m128i const_rounding = _mm_set1_epi16(1);
res[0] = _mm_add_epi16(res[0], const_rounding);
res[1] = _mm_add_epi16(res[1], const_rounding);
res[2] = _mm_add_epi16(res[2], const_rounding);
res[3] = _mm_add_epi16(res[3], const_rounding);
res[4] = _mm_add_epi16(res[4], const_rounding);
res[5] = _mm_add_epi16(res[5], const_rounding);
res[6] = _mm_add_epi16(res[6], const_rounding);
res[7] = _mm_add_epi16(res[7], const_rounding);
}
res[0] = _mm_sub_epi16(res[0], sign0);
res[1] = _mm_sub_epi16(res[1], sign1);
res[2] = _mm_sub_epi16(res[2], sign2);
res[3] = _mm_sub_epi16(res[3], sign3);
res[4] = _mm_sub_epi16(res[4], sign4);
res[5] = _mm_sub_epi16(res[5], sign5);
res[6] = _mm_sub_epi16(res[6], sign6);
res[7] = _mm_sub_epi16(res[7], sign7);
if (bit == 1) {
res[0] = _mm_srai_epi16(res[0], 1);
res[1] = _mm_srai_epi16(res[1], 1);
res[2] = _mm_srai_epi16(res[2], 1);
res[3] = _mm_srai_epi16(res[3], 1);
res[4] = _mm_srai_epi16(res[4], 1);
res[5] = _mm_srai_epi16(res[5], 1);
res[6] = _mm_srai_epi16(res[6], 1);
res[7] = _mm_srai_epi16(res[7], 1);
} else {
res[0] = _mm_srai_epi16(res[0], 2);
res[1] = _mm_srai_epi16(res[1], 2);
res[2] = _mm_srai_epi16(res[2], 2);
res[3] = _mm_srai_epi16(res[3], 2);
res[4] = _mm_srai_epi16(res[4], 2);
res[5] = _mm_srai_epi16(res[5], 2);
res[6] = _mm_srai_epi16(res[6], 2);
res[7] = _mm_srai_epi16(res[7], 2);
}
}
// write 8x8 array
static INLINE void write_buffer_8x8(tran_low_t *output, __m128i *res,
int stride) {
store_output(&res[0], (output + 0 * stride));
store_output(&res[1], (output + 1 * stride));
store_output(&res[2], (output + 2 * stride));
store_output(&res[3], (output + 3 * stride));
store_output(&res[4], (output + 4 * stride));
store_output(&res[5], (output + 5 * stride));
store_output(&res[6], (output + 6 * stride));
store_output(&res[7], (output + 7 * stride));
}
static void fdct8_sse2(__m128i *in) {
// constants
const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
__m128i u0, u1, u2, u3, u4, u5, u6, u7;
__m128i v0, v1, v2, v3, v4, v5, v6, v7;
__m128i s0, s1, s2, s3, s4, s5, s6, s7;
// stage 1
s0 = _mm_add_epi16(in[0], in[7]);
s1 = _mm_add_epi16(in[1], in[6]);
s2 = _mm_add_epi16(in[2], in[5]);
s3 = _mm_add_epi16(in[3], in[4]);
s4 = _mm_sub_epi16(in[3], in[4]);
s5 = _mm_sub_epi16(in[2], in[5]);
s6 = _mm_sub_epi16(in[1], in[6]);
s7 = _mm_sub_epi16(in[0], in[7]);
u0 = _mm_add_epi16(s0, s3);
u1 = _mm_add_epi16(s1, s2);
u2 = _mm_sub_epi16(s1, s2);
u3 = _mm_sub_epi16(s0, s3);
// interleave and perform butterfly multiplication/addition
v0 = _mm_unpacklo_epi16(u0, u1);
v1 = _mm_unpackhi_epi16(u0, u1);
v2 = _mm_unpacklo_epi16(u2, u3);
v3 = _mm_unpackhi_epi16(u2, u3);
u0 = _mm_madd_epi16(v0, k__cospi_p16_p16);
u1 = _mm_madd_epi16(v1, k__cospi_p16_p16);
u2 = _mm_madd_epi16(v0, k__cospi_p16_m16);
u3 = _mm_madd_epi16(v1, k__cospi_p16_m16);
u4 = _mm_madd_epi16(v2, k__cospi_p24_p08);
u5 = _mm_madd_epi16(v3, k__cospi_p24_p08);
u6 = _mm_madd_epi16(v2, k__cospi_m08_p24);
u7 = _mm_madd_epi16(v3, k__cospi_m08_p24);
// shift and rounding
v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
in[0] = _mm_packs_epi32(u0, u1);
in[2] = _mm_packs_epi32(u4, u5);
in[4] = _mm_packs_epi32(u2, u3);
in[6] = _mm_packs_epi32(u6, u7);
// stage 2
// interleave and perform butterfly multiplication/addition
u0 = _mm_unpacklo_epi16(s6, s5);
u1 = _mm_unpackhi_epi16(s6, s5);
v0 = _mm_madd_epi16(u0, k__cospi_p16_m16);
v1 = _mm_madd_epi16(u1, k__cospi_p16_m16);
v2 = _mm_madd_epi16(u0, k__cospi_p16_p16);
v3 = _mm_madd_epi16(u1, k__cospi_p16_p16);
// shift and rounding
u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
u0 = _mm_packs_epi32(v0, v1);
u1 = _mm_packs_epi32(v2, v3);
// stage 3
s0 = _mm_add_epi16(s4, u0);
s1 = _mm_sub_epi16(s4, u0);
s2 = _mm_sub_epi16(s7, u1);
s3 = _mm_add_epi16(s7, u1);
// stage 4
u0 = _mm_unpacklo_epi16(s0, s3);
u1 = _mm_unpackhi_epi16(s0, s3);
u2 = _mm_unpacklo_epi16(s1, s2);
u3 = _mm_unpackhi_epi16(s1, s2);
v0 = _mm_madd_epi16(u0, k__cospi_p28_p04);
v1 = _mm_madd_epi16(u1, k__cospi_p28_p04);
v2 = _mm_madd_epi16(u2, k__cospi_p12_p20);
v3 = _mm_madd_epi16(u3, k__cospi_p12_p20);
v4 = _mm_madd_epi16(u2, k__cospi_m20_p12);
v5 = _mm_madd_epi16(u3, k__cospi_m20_p12);
v6 = _mm_madd_epi16(u0, k__cospi_m04_p28);
v7 = _mm_madd_epi16(u1, k__cospi_m04_p28);
// shift and rounding
u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);
u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);
u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);
u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);
v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);
v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);
v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);
v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);
in[1] = _mm_packs_epi32(v0, v1);
in[3] = _mm_packs_epi32(v4, v5);
in[5] = _mm_packs_epi32(v2, v3);
in[7] = _mm_packs_epi32(v6, v7);
// transpose
transpose_16bit_8x8(in, in);
}
static void fadst8_sse2(__m128i *in) {
// Constants
const __m128i k__cospi_p02_p30 = pair_set_epi16(cospi_2_64, cospi_30_64);
const __m128i k__cospi_p30_m02 = pair_set_epi16(cospi_30_64, -cospi_2_64);
const __m128i k__cospi_p10_p22 = pair_set_epi16(cospi_10_64, cospi_22_64);
const __m128i k__cospi_p22_m10 = pair_set_epi16(cospi_22_64, -cospi_10_64);
const __m128i k__cospi_p18_p14 = pair_set_epi16(cospi_18_64, cospi_14_64);
const __m128i k__cospi_p14_m18 = pair_set_epi16(cospi_14_64, -cospi_18_64);
const __m128i k__cospi_p26_p06 = pair_set_epi16(cospi_26_64, cospi_6_64);
const __m128i k__cospi_p06_m26 = pair_set_epi16(cospi_6_64, -cospi_26_64);
const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);
const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
const __m128i k__const_0 = _mm_set1_epi16(0);
const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
__m128i u0, u1, u2, u3, u4, u5, u6, u7, u8, u9, u10, u11, u12, u13, u14, u15;
__m128i v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15;
__m128i w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15;
__m128i s0, s1, s2, s3, s4, s5, s6, s7;
__m128i in0, in1, in2, in3, in4, in5, in6, in7;
// properly aligned for butterfly input
in0 = in[7];
in1 = in[0];
in2 = in[5];
in3 = in[2];
in4 = in[3];
in5 = in[4];
in6 = in[1];
in7 = in[6];
// column transformation
// stage 1
// interleave and multiply/add into 32-bit integer
s0 = _mm_unpacklo_epi16(in0, in1);
s1 = _mm_unpackhi_epi16(in0, in1);
s2 = _mm_unpacklo_epi16(in2, in3);
s3 = _mm_unpackhi_epi16(in2, in3);
s4 = _mm_unpacklo_epi16(in4, in5);
s5 = _mm_unpackhi_epi16(in4, in5);
s6 = _mm_unpacklo_epi16(in6, in7);
s7 = _mm_unpackhi_epi16(in6, in7);
u0 = _mm_madd_epi16(s0, k__cospi_p02_p30);
u1 = _mm_madd_epi16(s1, k__cospi_p02_p30);
u2 = _mm_madd_epi16(s0, k__cospi_p30_m02);
u3 = _mm_madd_epi16(s1, k__cospi_p30_m02);
u4 = _mm_madd_epi16(s2, k__cospi_p10_p22);
u5 = _mm_madd_epi16(s3, k__cospi_p10_p22);
u6 = _mm_madd_epi16(s2, k__cospi_p22_m10);
u7 = _mm_madd_epi16(s3, k__cospi_p22_m10);
u8 = _mm_madd_epi16(s4, k__cospi_p18_p14);
u9 = _mm_madd_epi16(s5, k__cospi_p18_p14);
u10 = _mm_madd_epi16(s4, k__cospi_p14_m18);
u11 = _mm_madd_epi16(s5, k__cospi_p14_m18);
u12 = _mm_madd_epi16(s6, k__cospi_p26_p06);
u13 = _mm_madd_epi16(s7, k__cospi_p26_p06);
u14 = _mm_madd_epi16(s6, k__cospi_p06_m26);
u15 = _mm_madd_epi16(s7, k__cospi_p06_m26);
// addition
w0 = _mm_add_epi32(u0, u8);
w1 = _mm_add_epi32(u1, u9);
w2 = _mm_add_epi32(u2, u10);
w3 = _mm_add_epi32(u3, u11);
w4 = _mm_add_epi32(u4, u12);
w5 = _mm_add_epi32(u5, u13);
w6 = _mm_add_epi32(u6, u14);
w7 = _mm_add_epi32(u7, u15);
w8 = _mm_sub_epi32(u0, u8);
w9 = _mm_sub_epi32(u1, u9);
w10 = _mm_sub_epi32(u2, u10);
w11 = _mm_sub_epi32(u3, u11);
w12 = _mm_sub_epi32(u4, u12);
w13 = _mm_sub_epi32(u5, u13);
w14 = _mm_sub_epi32(u6, u14);
w15 = _mm_sub_epi32(u7, u15);
// shift and rounding
v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);
v8 = _mm_add_epi32(w8, k__DCT_CONST_ROUNDING);
v9 = _mm_add_epi32(w9, k__DCT_CONST_ROUNDING);
v10 = _mm_add_epi32(w10, k__DCT_CONST_ROUNDING);
v11 = _mm_add_epi32(w11, k__DCT_CONST_ROUNDING);
v12 = _mm_add_epi32(w12, k__DCT_CONST_ROUNDING);
v13 = _mm_add_epi32(w13, k__DCT_CONST_ROUNDING);
v14 = _mm_add_epi32(w14, k__DCT_CONST_ROUNDING);
v15 = _mm_add_epi32(w15, k__DCT_CONST_ROUNDING);
u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
u8 = _mm_srai_epi32(v8, DCT_CONST_BITS);
u9 = _mm_srai_epi32(v9, DCT_CONST_BITS);
u10 = _mm_srai_epi32(v10, DCT_CONST_BITS);
u11 = _mm_srai_epi32(v11, DCT_CONST_BITS);
u12 = _mm_srai_epi32(v12, DCT_CONST_BITS);
u13 = _mm_srai_epi32(v13, DCT_CONST_BITS);
u14 = _mm_srai_epi32(v14, DCT_CONST_BITS);
u15 = _mm_srai_epi32(v15, DCT_CONST_BITS);
// back to 16-bit and pack 8 integers into __m128i
in[0] = _mm_packs_epi32(u0, u1);
in[1] = _mm_packs_epi32(u2, u3);
in[2] = _mm_packs_epi32(u4, u5);
in[3] = _mm_packs_epi32(u6, u7);
in[4] = _mm_packs_epi32(u8, u9);
in[5] = _mm_packs_epi32(u10, u11);
in[6] = _mm_packs_epi32(u12, u13);
in[7] = _mm_packs_epi32(u14, u15);
// stage 2
s0 = _mm_add_epi16(in[0], in[2]);
s1 = _mm_add_epi16(in[1], in[3]);
s2 = _mm_sub_epi16(in[0], in[2]);
s3 = _mm_sub_epi16(in[1], in[3]);
u0 = _mm_unpacklo_epi16(in[4], in[5]);
u1 = _mm_unpackhi_epi16(in[4], in[5]);
u2 = _mm_unpacklo_epi16(in[6], in[7]);
u3 = _mm_unpackhi_epi16(in[6], in[7]);
v0 = _mm_madd_epi16(u0, k__cospi_p08_p24);
v1 = _mm_madd_epi16(u1, k__cospi_p08_p24);
v2 = _mm_madd_epi16(u0, k__cospi_p24_m08);
v3 = _mm_madd_epi16(u1, k__cospi_p24_m08);
v4 = _mm_madd_epi16(u2, k__cospi_m24_p08);
v5 = _mm_madd_epi16(u3, k__cospi_m24_p08);
v6 = _mm_madd_epi16(u2, k__cospi_p08_p24);
v7 = _mm_madd_epi16(u3, k__cospi_p08_p24);
w0 = _mm_add_epi32(v0, v4);
w1 = _mm_add_epi32(v1, v5);
w2 = _mm_add_epi32(v2, v6);
w3 = _mm_add_epi32(v3, v7);
w4 = _mm_sub_epi32(v0, v4);
w5 = _mm_sub_epi32(v1, v5);
w6 = _mm_sub_epi32(v2, v6);
w7 = _mm_sub_epi32(v3, v7);
v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);
u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
// back to 16-bit intergers
s4 = _mm_packs_epi32(u0, u1);
s5 = _mm_packs_epi32(u2, u3);
s6 = _mm_packs_epi32(u4, u5);
s7 = _mm_packs_epi32(u6, u7);
// stage 3
u0 = _mm_unpacklo_epi16(s2, s3);
u1 = _mm_unpackhi_epi16(s2, s3);
u2 = _mm_unpacklo_epi16(s6, s7);
u3 = _mm_unpackhi_epi16(s6, s7);
v0 = _mm_madd_epi16(u0, k__cospi_p16_p16);
v1 = _mm_madd_epi16(u1, k__cospi_p16_p16);
v2 = _mm_madd_epi16(u0, k__cospi_p16_m16);
v3 = _mm_madd_epi16(u1, k__cospi_p16_m16);
v4 = _mm_madd_epi16(u2, k__cospi_p16_p16);
v5 = _mm_madd_epi16(u3, k__cospi_p16_p16);
v6 = _mm_madd_epi16(u2, k__cospi_p16_m16);
v7 = _mm_madd_epi16(u3, k__cospi_p16_m16);
u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);
u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);
u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);
u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);
v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);
v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);
v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);
v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);
s2 = _mm_packs_epi32(v0, v1);
s3 = _mm_packs_epi32(v2, v3);
s6 = _mm_packs_epi32(v4, v5);
s7 = _mm_packs_epi32(v6, v7);
// FIXME(jingning): do subtract using bit inversion?
in[0] = s0;
in[1] = _mm_sub_epi16(k__const_0, s4);
in[2] = s6;
in[3] = _mm_sub_epi16(k__const_0, s2);
in[4] = s3;
in[5] = _mm_sub_epi16(k__const_0, s7);
in[6] = s5;
in[7] = _mm_sub_epi16(k__const_0, s1);
// transpose
transpose_16bit_8x8(in, in);
}
void vp9_fht8x8_sse2(const int16_t *input, tran_low_t *output, int stride,
int tx_type) {
__m128i in[8];
switch (tx_type) {
case DCT_DCT: vpx_fdct8x8_sse2(input, output, stride); break;
case ADST_DCT:
load_buffer_8x8(input, in, stride);
fadst8_sse2(in);
fdct8_sse2(in);
right_shift_8x8(in, 1);
write_buffer_8x8(output, in, 8);
break;
case DCT_ADST:
load_buffer_8x8(input, in, stride);
fdct8_sse2(in);
fadst8_sse2(in);
right_shift_8x8(in, 1);
write_buffer_8x8(output, in, 8);
break;
default:
assert(tx_type == ADST_ADST);
load_buffer_8x8(input, in, stride);
fadst8_sse2(in);
fadst8_sse2(in);
right_shift_8x8(in, 1);
write_buffer_8x8(output, in, 8);
break;
}
}
static INLINE void load_buffer_16x16(const int16_t *input, __m128i *in0,
__m128i *in1, int stride) {
// load first 8 columns
load_buffer_8x8(input, in0, stride);
load_buffer_8x8(input + 8 * stride, in0 + 8, stride);
input += 8;
// load second 8 columns
load_buffer_8x8(input, in1, stride);
load_buffer_8x8(input + 8 * stride, in1 + 8, stride);
}
static INLINE void write_buffer_16x16(tran_low_t *output, __m128i *in0,
__m128i *in1, int stride) {
// write first 8 columns
write_buffer_8x8(output, in0, stride);
write_buffer_8x8(output + 8 * stride, in0 + 8, stride);
// write second 8 columns
output += 8;
write_buffer_8x8(output, in1, stride);
write_buffer_8x8(output + 8 * stride, in1 + 8, stride);
}
static INLINE void right_shift_16x16(__m128i *res0, __m128i *res1) {
// perform rounding operations
right_shift_8x8(res0, 2);
right_shift_8x8(res0 + 8, 2);
right_shift_8x8(res1, 2);
right_shift_8x8(res1 + 8, 2);
}
static void fdct16_8col(__m128i *in) {
// perform 16x16 1-D DCT for 8 columns
__m128i i[8], s[8], p[8], t[8], u[16], v[16];
const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
const __m128i k__cospi_p08_m24 = pair_set_epi16(cospi_8_64, -cospi_24_64);
const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
const __m128i k__cospi_p30_p02 = pair_set_epi16(cospi_30_64, cospi_2_64);
const __m128i k__cospi_p14_p18 = pair_set_epi16(cospi_14_64, cospi_18_64);
const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64, cospi_30_64);
const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64, cospi_14_64);
const __m128i k__cospi_p22_p10 = pair_set_epi16(cospi_22_64, cospi_10_64);
const __m128i k__cospi_p06_p26 = pair_set_epi16(cospi_6_64, cospi_26_64);
const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64, cospi_22_64);
const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64, cospi_6_64);
const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
// stage 1
i[0] = _mm_add_epi16(in[0], in[15]);
i[1] = _mm_add_epi16(in[1], in[14]);
i[2] = _mm_add_epi16(in[2], in[13]);
i[3] = _mm_add_epi16(in[3], in[12]);
i[4] = _mm_add_epi16(in[4], in[11]);
i[5] = _mm_add_epi16(in[5], in[10]);
i[6] = _mm_add_epi16(in[6], in[9]);
i[7] = _mm_add_epi16(in[7], in[8]);
s[0] = _mm_sub_epi16(in[7], in[8]);
s[1] = _mm_sub_epi16(in[6], in[9]);
s[2] = _mm_sub_epi16(in[5], in[10]);
s[3] = _mm_sub_epi16(in[4], in[11]);
s[4] = _mm_sub_epi16(in[3], in[12]);
s[5] = _mm_sub_epi16(in[2], in[13]);
s[6] = _mm_sub_epi16(in[1], in[14]);
s[7] = _mm_sub_epi16(in[0], in[15]);
p[0] = _mm_add_epi16(i[0], i[7]);
p[1] = _mm_add_epi16(i[1], i[6]);
p[2] = _mm_add_epi16(i[2], i[5]);
p[3] = _mm_add_epi16(i[3], i[4]);
p[4] = _mm_sub_epi16(i[3], i[4]);
p[5] = _mm_sub_epi16(i[2], i[5]);
p[6] = _mm_sub_epi16(i[1], i[6]);
p[7] = _mm_sub_epi16(i[0], i[7]);
u[0] = _mm_add_epi16(p[0], p[3]);
u[1] = _mm_add_epi16(p[1], p[2]);
u[2] = _mm_sub_epi16(p[1], p[2]);
u[3] = _mm_sub_epi16(p[0], p[3]);
v[0] = _mm_unpacklo_epi16(u[0], u[1]);
v[1] = _mm_unpackhi_epi16(u[0], u[1]);
v[2] = _mm_unpacklo_epi16(u[2], u[3]);
v[3] = _mm_unpackhi_epi16(u[2], u[3]);
u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16);
u[1] = _mm_madd_epi16(v[1], k__cospi_p16_p16);
u[2] = _mm_madd_epi16(v[0], k__cospi_p16_m16);
u[3] = _mm_madd_epi16(v[1], k__cospi_p16_m16);
u[4] = _mm_madd_epi16(v[2], k__cospi_p24_p08);
u[5] = _mm_madd_epi16(v[3], k__cospi_p24_p08);
u[6] = _mm_madd_epi16(v[2], k__cospi_m08_p24);
u[7] = _mm_madd_epi16(v[3], k__cospi_m08_p24);
v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
in[0] = _mm_packs_epi32(u[0], u[1]);
in[4] = _mm_packs_epi32(u[4], u[5]);
in[8] = _mm_packs_epi32(u[2], u[3]);
in[12] = _mm_packs_epi32(u[6], u[7]);
u[0] = _mm_unpacklo_epi16(p[5], p[6]);
u[1] = _mm_unpackhi_epi16(p[5], p[6]);
v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
v[2] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
v[3] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
u[0] = _mm_packs_epi32(v[0], v[1]);
u[1] = _mm_packs_epi32(v[2], v[3]);
t[0] = _mm_add_epi16(p[4], u[0]);
t[1] = _mm_sub_epi16(p[4], u[0]);
t[2] = _mm_sub_epi16(p[7], u[1]);
t[3] = _mm_add_epi16(p[7], u[1]);
u[0] = _mm_unpacklo_epi16(t[0], t[3]);
u[1] = _mm_unpackhi_epi16(t[0], t[3]);
u[2] = _mm_unpacklo_epi16(t[1], t[2]);
u[3] = _mm_unpackhi_epi16(t[1], t[2]);
v[0] = _mm_madd_epi16(u[0], k__cospi_p28_p04);
v[1] = _mm_madd_epi16(u[1], k__cospi_p28_p04);
v[2] = _mm_madd_epi16(u[2], k__cospi_p12_p20);
v[3] = _mm_madd_epi16(u[3], k__cospi_p12_p20);
v[4] = _mm_madd_epi16(u[2], k__cospi_m20_p12);
v[5] = _mm_madd_epi16(u[3], k__cospi_m20_p12);
v[6] = _mm_madd_epi16(u[0], k__cospi_m04_p28);
v[7] = _mm_madd_epi16(u[1], k__cospi_m04_p28);
u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
in[2] = _mm_packs_epi32(v[0], v[1]);
in[6] = _mm_packs_epi32(v[4], v[5]);
in[10] = _mm_packs_epi32(v[2], v[3]);
in[14] = _mm_packs_epi32(v[6], v[7]);
// stage 2
u[0] = _mm_unpacklo_epi16(s[2], s[5]);
u[1] = _mm_unpackhi_epi16(s[2], s[5]);
u[2] = _mm_unpacklo_epi16(s[3], s[4]);
u[3] = _mm_unpackhi_epi16(s[3], s[4]);
v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
v[2] = _mm_madd_epi16(u[2], k__cospi_m16_p16);
v[3] = _mm_madd_epi16(u[3], k__cospi_m16_p16);
v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);
v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);
v[6] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
v[7] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
t[2] = _mm_packs_epi32(v[0], v[1]);
t[3] = _mm_packs_epi32(v[2], v[3]);
t[4] = _mm_packs_epi32(v[4], v[5]);
t[5] = _mm_packs_epi32(v[6], v[7]);
// stage 3
p[0] = _mm_add_epi16(s[0], t[3]);
p[1] = _mm_add_epi16(s[1], t[2]);
p[2] = _mm_sub_epi16(s[1], t[2]);
p[3] = _mm_sub_epi16(s[0], t[3]);
p[4] = _mm_sub_epi16(s[7], t[4]);
p[5] = _mm_sub_epi16(s[6], t[5]);
p[6] = _mm_add_epi16(s[6], t[5]);
p[7] = _mm_add_epi16(s[7], t[4]);
// stage 4
u[0] = _mm_unpacklo_epi16(p[1], p[6]);
u[1] = _mm_unpackhi_epi16(p[1], p[6]);
u[2] = _mm_unpacklo_epi16(p[2], p[5]);
u[3] = _mm_unpackhi_epi16(p[2], p[5]);
v[0] = _mm_madd_epi16(u[0], k__cospi_m08_p24);
v[1] = _mm_madd_epi16(u[1], k__cospi_m08_p24);
v[2] = _mm_madd_epi16(u[2], k__cospi_p24_p08);
v[3] = _mm_madd_epi16(u[3], k__cospi_p24_p08);
v[4] = _mm_madd_epi16(u[2], k__cospi_p08_m24);
v[5] = _mm_madd_epi16(u[3], k__cospi_p08_m24);
v[6] = _mm_madd_epi16(u[0], k__cospi_p24_p08);
v[7] = _mm_madd_epi16(u[1], k__cospi_p24_p08);
u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
t[1] = _mm_packs_epi32(v[0], v[1]);
t[2] = _mm_packs_epi32(v[2], v[3]);
t[5] = _mm_packs_epi32(v[4], v[5]);
t[6] = _mm_packs_epi32(v[6], v[7]);
// stage 5
s[0] = _mm_add_epi16(p[0], t[1]);
s[1] = _mm_sub_epi16(p[0], t[1]);
s[2] = _mm_add_epi16(p[3], t[2]);
s[3] = _mm_sub_epi16(p[3], t[2]);
s[4] = _mm_sub_epi16(p[4], t[5]);
s[5] = _mm_add_epi16(p[4], t[5]);
s[6] = _mm_sub_epi16(p[7], t[6]);
s[7] = _mm_add_epi16(p[7], t[6]);
// stage 6
u[0] = _mm_unpacklo_epi16(s[0], s[7]);
u[1] = _mm_unpackhi_epi16(s[0], s[7]);
u[2] = _mm_unpacklo_epi16(s[1], s[6]);
u[3] = _mm_unpackhi_epi16(s[1], s[6]);
u[4] = _mm_unpacklo_epi16(s[2], s[5]);
u[5] = _mm_unpackhi_epi16(s[2], s[5]);
u[6] = _mm_unpacklo_epi16(s[3], s[4]);
u[7] = _mm_unpackhi_epi16(s[3], s[4]);
v[0] = _mm_madd_epi16(u[0], k__cospi_p30_p02);
v[1] = _mm_madd_epi16(u[1], k__cospi_p30_p02);
v[2] = _mm_madd_epi16(u[2], k__cospi_p14_p18);
v[3] = _mm_madd_epi16(u[3], k__cospi_p14_p18);
v[4] = _mm_madd_epi16(u[4], k__cospi_p22_p10);
v[5] = _mm_madd_epi16(u[5], k__cospi_p22_p10);
v[6] = _mm_madd_epi16(u[6], k__cospi_p06_p26);
v[7] = _mm_madd_epi16(u[7], k__cospi_p06_p26);
v[8] = _mm_madd_epi16(u[6], k__cospi_m26_p06);
v[9] = _mm_madd_epi16(u[7], k__cospi_m26_p06);
v[10] = _mm_madd_epi16(u[4], k__cospi_m10_p22);
v[11] = _mm_madd_epi16(u[5], k__cospi_m10_p22);
v[12] = _mm_madd_epi16(u[2], k__cospi_m18_p14);
v[13] = _mm_madd_epi16(u[3], k__cospi_m18_p14);
v[14] = _mm_madd_epi16(u[0], k__cospi_m02_p30);
v[15] = _mm_madd_epi16(u[1], k__cospi_m02_p30);
u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);
v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);