highbd_inv_txfm_sse4.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 <assert.h>

#include <smmintrin.h> /* SSE4.1 */

#include "config/aom_config.h"

#include "config/av1_rtcd.h"

#include "av1/common/av1_inv_txfm1d_cfg.h"

#include "av1/common/idct.h"

#include "av1/common/x86/av1_inv_txfm_ssse3.h"

#include "av1/common/x86/av1_txfm_sse2.h"

#include "av1/common/x86/av1_txfm_sse4.h"

#include "av1/common/x86/highbd_txfm_utility_sse4.h"

static inline __m128i highbd_clamp_epi16(__m128i u, int bd) {

  const __m128i zero = _mm_setzero_si128();

  const __m128i one = _mm_set1_epi16(1);

  const __m128i max = _mm_sub_epi16(_mm_slli_epi16(one, bd), one);

  __m128i clamped, mask;

  mask = _mm_cmpgt_epi16(u, max);

  clamped = _mm_andnot_si128(mask, u);

  mask = _mm_and_si128(mask, max);

  clamped = _mm_or_si128(mask, clamped);

  mask = _mm_cmpgt_epi16(clamped, zero);

  clamped = _mm_and_si128(clamped, mask);

  return clamped;

static inline void round_shift_4x4(__m128i *in, int shift) {

  if (shift != 0) {

    __m128i rnding = _mm_set1_epi32(1 << (shift - 1));

    in[0] = _mm_add_epi32(in[0], rnding);

    in[1] = _mm_add_epi32(in[1], rnding);

    in[2] = _mm_add_epi32(in[2], rnding);

    in[3] = _mm_add_epi32(in[3], rnding);

    in[0] = _mm_srai_epi32(in[0], shift);

    in[1] = _mm_srai_epi32(in[1], shift);

    in[2] = _mm_srai_epi32(in[2], shift);

    in[3] = _mm_srai_epi32(in[3], shift);

static void round_shift_8x8(__m128i *in, int shift) {

  round_shift_4x4(&in[0], shift);

  round_shift_4x4(&in[4], shift);

  round_shift_4x4(&in[8], shift);

  round_shift_4x4(&in[12], shift);

static void highbd_clamp_epi32_sse4_1(__m128i *in, __m128i *out,

                                      const __m128i *clamp_lo,

                                      const __m128i *clamp_hi, int size) {

  __m128i a0, a1;

  for (int i = 0; i < size; i += 4) {

    a0 = _mm_max_epi32(in[i], *clamp_lo);

    out[i] = _mm_min_epi32(a0, *clamp_hi);

    a1 = _mm_max_epi32(in[i + 1], *clamp_lo);

    out[i + 1] = _mm_min_epi32(a1, *clamp_hi);

    a0 = _mm_max_epi32(in[i + 2], *clamp_lo);

    out[i + 2] = _mm_min_epi32(a0, *clamp_hi);

    a1 = _mm_max_epi32(in[i + 3], *clamp_lo);

    out[i + 3] = _mm_min_epi32(a1, *clamp_hi);

static inline __m128i highbd_get_recon_8x8_sse4_1(const __m128i pred,

                                                  __m128i res0, __m128i res1,

                                                  const int bd) {

  __m128i x0 = _mm_cvtepi16_epi32(pred);

  __m128i x1 = _mm_cvtepi16_epi32(_mm_srli_si128(pred, 8));

  __m128i min_clip_val = _mm_setzero_si128();

  __m128i max_clip_val = _mm_set1_epi32((1 << bd) - 1);

  x0 = _mm_add_epi32(res0, x0);

  x1 = _mm_add_epi32(res1, x1);

  x0 = _mm_max_epi32(x0, min_clip_val);

  x0 = _mm_min_epi32(x0, max_clip_val);

  x1 = _mm_max_epi32(x1, min_clip_val);

  x1 = _mm_min_epi32(x1, max_clip_val);

  x0 = _mm_packus_epi32(x0, x1);

  return x0;

static inline __m128i highbd_get_recon_4xn_sse4_1(const __m128i pred,

                                                  __m128i res0, const int bd) {

  __m128i x0 = _mm_cvtepi16_epi32(pred);

  x0 = _mm_add_epi32(res0, x0);

  x0 = _mm_packus_epi32(x0, x0);

  x0 = highbd_clamp_epi16(x0, bd);

  return x0;

static inline void highbd_write_buffer_4xn_sse4_1(__m128i *in, uint16_t *output,

                                                  int stride, int flipud,

                                                  int height, const int bd) {

  int j = flipud ? (height - 1) : 0;

  const int step = flipud ? -1 : 1;

  for (int i = 0; i < height; ++i, j += step) {

    __m128i v = _mm_loadl_epi64((__m128i const *)(output + i * stride));

    __m128i u = highbd_get_recon_4xn_sse4_1(v, in[j], bd);

    _mm_storel_epi64((__m128i *)(output + i * stride), u);

static inline void highbd_write_buffer_8xn_sse4_1(__m128i *in, uint16_t *output,

                                                  int stride, int flipud,

                                                  int height, const int bd) {

  int j = flipud ? (height - 1) : 0;

  const int step = flipud ? -1 : 1;

  for (int i = 0; i < height; ++i, j += step) {

    __m128i v = _mm_loadu_si128((__m128i const *)(output + i * stride));

    __m128i u = highbd_get_recon_8x8_sse4_1(v, in[j], in[j + height], bd);

    _mm_storeu_si128((__m128i *)(output + i * stride), u);

static inline void load_buffer_32bit_input(const int32_t *in, int stride,

                                           __m128i *out, int out_size) {

  for (int i = 0; i < out_size; ++i) {

    out[i] = _mm_loadu_si128((const __m128i *)(in + i * stride));

static inline void load_buffer_4x4(const int32_t *coeff, __m128i *in) {

  in[0] = _mm_load_si128((const __m128i *)(coeff + 0));

  in[1] = _mm_load_si128((const __m128i *)(coeff + 4));

  in[2] = _mm_load_si128((const __m128i *)(coeff + 8));

  in[3] = _mm_load_si128((const __m128i *)(coeff + 12));

void av1_highbd_iwht4x4_16_add_sse4_1(const tran_low_t *input, uint8_t *dest8,

                                      int stride, int bd) {

  /* 4-point reversible, orthonormal inverse Walsh-Hadamard in 3.5 adds,

     0.5 shifts per pixel. */

  __m128i op[4];

  uint16_t *dest = CONVERT_TO_SHORTPTR(dest8);

  load_buffer_4x4(input, op);

  // Shift before-hand.

  op[0] = _mm_srai_epi32(op[0], UNIT_QUANT_SHIFT);

  op[1] = _mm_srai_epi32(op[1], UNIT_QUANT_SHIFT);

  op[2] = _mm_srai_epi32(op[2], UNIT_QUANT_SHIFT);

  op[3] = _mm_srai_epi32(op[3], UNIT_QUANT_SHIFT);

  for (int i = 0; i < 2; ++i) {

    __m128i a1 = op[0];

    __m128i c1 = op[1];

    __m128i d1 = op[2];

    __m128i b1 = op[3];

    a1 = _mm_add_epi32(a1, c1);          // a1 += c1

    d1 = _mm_sub_epi32(d1, b1);          // d1 -= b1

    __m128i e1 = _mm_sub_epi32(a1, d1);  // e1 = (a1 - d1) >> 1

    e1 = _mm_srai_epi32(e1, 1);

    b1 = _mm_sub_epi32(e1, b1);  // b1 = e1 - b1

    c1 = _mm_sub_epi32(e1, c1);  // c1 = e1 - c1

    a1 = _mm_sub_epi32(a1, b1);  // a1 -= b1

    d1 = _mm_add_epi32(d1, c1);  // d1 += c1

    op[0] = a1;

    op[1] = b1;

    op[2] = c1;

    op[3] = d1;

    if (i == 0) {

      transpose_32bit_4x4(op, op);

  // Convert to int16_t. The C code checks that we are in range.

  op[0] = _mm_packs_epi32(op[0], op[1]);

  op[1] = _mm_packs_epi32(op[2], op[3]);

  // Load uint16_t.

  __m128i dst[2];

  __m128i tmp[4];

  tmp[0] = _mm_loadl_epi64((const __m128i *)(dest + 0 * stride));

  tmp[1] = _mm_loadl_epi64((const __m128i *)(dest + 1 * stride));

  dst[0] = _mm_unpacklo_epi64(tmp[0], tmp[1]);

  tmp[2] = _mm_loadl_epi64((const __m128i *)(dest + 2 * stride));

  tmp[3] = _mm_loadl_epi64((const __m128i *)(dest + 3 * stride));

  dst[1] = _mm_unpacklo_epi64(tmp[2], tmp[3]);

  // Add to the previous results.

  dst[0] = _mm_add_epi16(dst[0], op[0]);

  dst[1] = _mm_add_epi16(dst[1], op[1]);

  // Clamp.

  dst[0] = highbd_clamp_epi16(dst[0], bd);

  dst[1] = highbd_clamp_epi16(dst[1], bd);

  // Store.

  _mm_storel_epi64((__m128i *)(dest + 0 * stride), dst[0]);

  dst[0] = _mm_srli_si128(dst[0], 8);

  _mm_storel_epi64((__m128i *)(dest + 1 * stride), dst[0]);

  _mm_storel_epi64((__m128i *)(dest + 2 * stride), dst[1]);

  dst[1] = _mm_srli_si128(dst[1], 8);

  _mm_storel_epi64((__m128i *)(dest + 3 * stride), dst[1]);

static void addsub_sse4_1(const __m128i in0, const __m128i in1, __m128i *out0,

                          __m128i *out1, const __m128i *clamp_lo,

                          const __m128i *clamp_hi) {

  __m128i a0 = _mm_add_epi32(in0, in1);

  __m128i a1 = _mm_sub_epi32(in0, in1);

  a0 = _mm_max_epi32(a0, *clamp_lo);

  a0 = _mm_min_epi32(a0, *clamp_hi);

  a1 = _mm_max_epi32(a1, *clamp_lo);

  a1 = _mm_min_epi32(a1, *clamp_hi);

  *out0 = a0;

  *out1 = a1;

static void shift_and_clamp_sse4_1(__m128i *in0, __m128i *in1,

                                   const __m128i *clamp_lo,

                                   const __m128i *clamp_hi, int shift) {

  __m128i offset = _mm_set1_epi32((1 << shift) >> 1);

  __m128i in0_w_offset = _mm_add_epi32(*in0, offset);

  __m128i in1_w_offset = _mm_add_epi32(*in1, offset);

  in0_w_offset = _mm_sra_epi32(in0_w_offset, _mm_cvtsi32_si128(shift));

  in1_w_offset = _mm_sra_epi32(in1_w_offset, _mm_cvtsi32_si128(shift));

  in0_w_offset = _mm_max_epi32(in0_w_offset, *clamp_lo);

  in0_w_offset = _mm_min_epi32(in0_w_offset, *clamp_hi);

  in1_w_offset = _mm_max_epi32(in1_w_offset, *clamp_lo);

  in1_w_offset = _mm_min_epi32(in1_w_offset, *clamp_hi);

  *in0 = in0_w_offset;

  *in1 = in1_w_offset;

static inline void idct32_stage4_sse4_1(

    __m128i *bf1, const __m128i *cospim8, const __m128i *cospi56,

    const __m128i *cospi8, const __m128i *cospim56, const __m128i *cospim40,

    const __m128i *cospi24, const __m128i *cospi40, const __m128i *cospim24,

    const __m128i *rounding, int bit) {

  __m128i temp1, temp2;

  temp1 = half_btf_sse4_1(cospim8, &bf1[17], cospi56, &bf1[30], rounding, bit);

  bf1[30] = half_btf_sse4_1(cospi56, &bf1[17], cospi8, &bf1[30], rounding, bit);

  bf1[17] = temp1;

  temp2 = half_btf_sse4_1(cospim56, &bf1[18], cospim8, &bf1[29], rounding, bit);

  bf1[29] =

      half_btf_sse4_1(cospim8, &bf1[18], cospi56, &bf1[29], rounding, bit);

  bf1[18] = temp2;

  temp1 = half_btf_sse4_1(cospim40, &bf1[21], cospi24, &bf1[26], rounding, bit);

  bf1[26] =

      half_btf_sse4_1(cospi24, &bf1[21], cospi40, &bf1[26], rounding, bit);

  bf1[21] = temp1;

  temp2 =

      half_btf_sse4_1(cospim24, &bf1[22], cospim40, &bf1[25], rounding, bit);

  bf1[25] =

      half_btf_sse4_1(cospim40, &bf1[22], cospi24, &bf1[25], rounding, bit);

  bf1[22] = temp2;

static inline void idct32_stage5_sse4_1(

    __m128i *bf1, const __m128i *cospim16, const __m128i *cospi48,

    const __m128i *cospi16, const __m128i *cospim48, const __m128i *clamp_lo,

    const __m128i *clamp_hi, const __m128i *rounding, int bit) {

  __m128i temp1, temp2;

  temp1 = half_btf_sse4_1(cospim16, &bf1[9], cospi48, &bf1[14], rounding, bit);

  bf1[14] = half_btf_sse4_1(cospi48, &bf1[9], cospi16, &bf1[14], rounding, bit);

  bf1[9] = temp1;

  temp2 =

      half_btf_sse4_1(cospim48, &bf1[10], cospim16, &bf1[13], rounding, bit);

  bf1[13] =

      half_btf_sse4_1(cospim16, &bf1[10], cospi48, &bf1[13], rounding, bit);

  bf1[10] = temp2;

  addsub_sse4_1(bf1[16], bf1[19], bf1 + 16, bf1 + 19, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[17], bf1[18], bf1 + 17, bf1 + 18, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[23], bf1[20], bf1 + 23, bf1 + 20, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[22], bf1[21], bf1 + 22, bf1 + 21, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[24], bf1[27], bf1 + 24, bf1 + 27, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[25], bf1[26], bf1 + 25, bf1 + 26, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[31], bf1[28], bf1 + 31, bf1 + 28, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[30], bf1[29], bf1 + 30, bf1 + 29, clamp_lo, clamp_hi);

static inline void idct32_stage6_sse4_1(

    __m128i *bf1, const __m128i *cospim32, const __m128i *cospi32,

    const __m128i *cospim16, const __m128i *cospi48, const __m128i *cospi16,

    const __m128i *cospim48, const __m128i *clamp_lo, const __m128i *clamp_hi,

    const __m128i *rounding, int bit) {

  __m128i temp1, temp2;

  temp1 = half_btf_sse4_1(cospim32, &bf1[5], cospi32, &bf1[6], rounding, bit);

  bf1[6] = half_btf_sse4_1(cospi32, &bf1[5], cospi32, &bf1[6], rounding, bit);

  bf1[5] = temp1;

  addsub_sse4_1(bf1[8], bf1[11], bf1 + 8, bf1 + 11, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[9], bf1[10], bf1 + 9, bf1 + 10, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[15], bf1[12], bf1 + 15, bf1 + 12, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[14], bf1[13], bf1 + 14, bf1 + 13, clamp_lo, clamp_hi);

  temp1 = half_btf_sse4_1(cospim16, &bf1[18], cospi48, &bf1[29], rounding, bit);

  bf1[29] =

      half_btf_sse4_1(cospi48, &bf1[18], cospi16, &bf1[29], rounding, bit);

  bf1[18] = temp1;

  temp2 = half_btf_sse4_1(cospim16, &bf1[19], cospi48, &bf1[28], rounding, bit);

  bf1[28] =

      half_btf_sse4_1(cospi48, &bf1[19], cospi16, &bf1[28], rounding, bit);

  bf1[19] = temp2;

  temp1 =

      half_btf_sse4_1(cospim48, &bf1[20], cospim16, &bf1[27], rounding, bit);

  bf1[27] =

      half_btf_sse4_1(cospim16, &bf1[20], cospi48, &bf1[27], rounding, bit);

  bf1[20] = temp1;

  temp2 =

      half_btf_sse4_1(cospim48, &bf1[21], cospim16, &bf1[26], rounding, bit);

  bf1[26] =

      half_btf_sse4_1(cospim16, &bf1[21], cospi48, &bf1[26], rounding, bit);

  bf1[21] = temp2;

static inline void idct32_stage7_sse4_1(__m128i *bf1, const __m128i *cospim32,

                                        const __m128i *cospi32,

                                        const __m128i *clamp_lo,

                                        const __m128i *clamp_hi,

                                        const __m128i *rounding, int bit) {

  __m128i temp1, temp2;

  addsub_sse4_1(bf1[0], bf1[7], bf1 + 0, bf1 + 7, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[1], bf1[6], bf1 + 1, bf1 + 6, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[2], bf1[5], bf1 + 2, bf1 + 5, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[3], bf1[4], bf1 + 3, bf1 + 4, clamp_lo, clamp_hi);

  temp1 = half_btf_sse4_1(cospim32, &bf1[10], cospi32, &bf1[13], rounding, bit);

  bf1[13] =

      half_btf_sse4_1(cospi32, &bf1[10], cospi32, &bf1[13], rounding, bit);

  bf1[10] = temp1;

  temp2 = half_btf_sse4_1(cospim32, &bf1[11], cospi32, &bf1[12], rounding, bit);

  bf1[12] =

      half_btf_sse4_1(cospi32, &bf1[11], cospi32, &bf1[12], rounding, bit);

  bf1[11] = temp2;

  addsub_sse4_1(bf1[16], bf1[23], bf1 + 16, bf1 + 23, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[17], bf1[22], bf1 + 17, bf1 + 22, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[18], bf1[21], bf1 + 18, bf1 + 21, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[19], bf1[20], bf1 + 19, bf1 + 20, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[31], bf1[24], bf1 + 31, bf1 + 24, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[30], bf1[25], bf1 + 30, bf1 + 25, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[29], bf1[26], bf1 + 29, bf1 + 26, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[28], bf1[27], bf1 + 28, bf1 + 27, clamp_lo, clamp_hi);

static inline void idct32_stage8_sse4_1(__m128i *bf1, const __m128i *cospim32,

                                        const __m128i *cospi32,

                                        const __m128i *clamp_lo,

                                        const __m128i *clamp_hi,

                                        const __m128i *rounding, int bit) {

  __m128i temp1, temp2;

  addsub_sse4_1(bf1[0], bf1[15], bf1 + 0, bf1 + 15, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[1], bf1[14], bf1 + 1, bf1 + 14, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[2], bf1[13], bf1 + 2, bf1 + 13, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[3], bf1[12], bf1 + 3, bf1 + 12, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[4], bf1[11], bf1 + 4, bf1 + 11, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[5], bf1[10], bf1 + 5, bf1 + 10, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[6], bf1[9], bf1 + 6, bf1 + 9, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[7], bf1[8], bf1 + 7, bf1 + 8, clamp_lo, clamp_hi);

  temp1 = half_btf_sse4_1(cospim32, &bf1[20], cospi32, &bf1[27], rounding, bit);

  bf1[27] =

      half_btf_sse4_1(cospi32, &bf1[20], cospi32, &bf1[27], rounding, bit);

  bf1[20] = temp1;

  temp2 = half_btf_sse4_1(cospim32, &bf1[21], cospi32, &bf1[26], rounding, bit);

  bf1[26] =

      half_btf_sse4_1(cospi32, &bf1[21], cospi32, &bf1[26], rounding, bit);

  bf1[21] = temp2;

  temp1 = half_btf_sse4_1(cospim32, &bf1[22], cospi32, &bf1[25], rounding, bit);

  bf1[25] =

      half_btf_sse4_1(cospi32, &bf1[22], cospi32, &bf1[25], rounding, bit);

  bf1[22] = temp1;

  temp2 = half_btf_sse4_1(cospim32, &bf1[23], cospi32, &bf1[24], rounding, bit);

  bf1[24] =

      half_btf_sse4_1(cospi32, &bf1[23], cospi32, &bf1[24], rounding, bit);

  bf1[23] = temp2;

static inline void idct32_stage9_sse4_1(__m128i *bf1, __m128i *out,

                                        const int do_cols, const int bd,

                                        const int out_shift,

                                        const __m128i *clamp_lo,

                                        const __m128i *clamp_hi) {

  addsub_sse4_1(bf1[0], bf1[31], out + 0, out + 31, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[1], bf1[30], out + 1, out + 30, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[2], bf1[29], out + 2, out + 29, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[3], bf1[28], out + 3, out + 28, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[4], bf1[27], out + 4, out + 27, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[5], bf1[26], out + 5, out + 26, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[6], bf1[25], out + 6, out + 25, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[7], bf1[24], out + 7, out + 24, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[8], bf1[23], out + 8, out + 23, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[9], bf1[22], out + 9, out + 22, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[10], bf1[21], out + 10, out + 21, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[11], bf1[20], out + 11, out + 20, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[12], bf1[19], out + 12, out + 19, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[13], bf1[18], out + 13, out + 18, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[14], bf1[17], out + 14, out + 17, clamp_lo, clamp_hi);

  addsub_sse4_1(bf1[15], bf1[16], out + 15, out + 16, clamp_lo, clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    for (int i = 0; i < 32; i += 8) {

      round_shift_4x4(out + i, out_shift);

      round_shift_4x4(out + i + 4, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 32);

static void neg_shift_sse4_1(const __m128i in0, const __m128i in1,

                             __m128i *out0, __m128i *out1,

                             const __m128i *clamp_lo, const __m128i *clamp_hi,

                             int shift) {

  __m128i offset = _mm_set1_epi32((1 << shift) >> 1);

  __m128i a0 = _mm_add_epi32(offset, in0);

  __m128i a1 = _mm_sub_epi32(offset, in1);

  a0 = _mm_sra_epi32(a0, _mm_cvtsi32_si128(shift));

  a1 = _mm_sra_epi32(a1, _mm_cvtsi32_si128(shift));

  a0 = _mm_max_epi32(a0, *clamp_lo);

  a0 = _mm_min_epi32(a0, *clamp_hi);

  a1 = _mm_max_epi32(a1, *clamp_lo);

  a1 = _mm_min_epi32(a1, *clamp_hi);

  *out0 = a0;

  *out1 = a1;

static void idct4x4_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                           int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u0, u1, u2, u3;

  __m128i v0, v1, v2, v3, x, y;

  // Stage 0

  // Stage 1

  // Stage 2

  u0 = in[0];

  u1 = in[1];

  u2 = in[2];

  u3 = in[3];

  x = _mm_mullo_epi32(u0, cospi32);

  y = _mm_mullo_epi32(u2, cospi32);

  v0 = _mm_add_epi32(x, y);

  v0 = _mm_add_epi32(v0, rnding);

  v0 = _mm_srai_epi32(v0, bit);

  v1 = _mm_sub_epi32(x, y);

  v1 = _mm_add_epi32(v1, rnding);

  v1 = _mm_srai_epi32(v1, bit);

  x = _mm_mullo_epi32(u1, cospi48);

  y = _mm_mullo_epi32(u3, cospim16);

  v2 = _mm_add_epi32(x, y);

  v2 = _mm_add_epi32(v2, rnding);

  v2 = _mm_srai_epi32(v2, bit);

  x = _mm_mullo_epi32(u1, cospi16);

  y = _mm_mullo_epi32(u3, cospi48);

  v3 = _mm_add_epi32(x, y);

  v3 = _mm_add_epi32(v3, rnding);

  v3 = _mm_srai_epi32(v3, bit);

  // Stage 3

  addsub_sse4_1(v0, v3, out + 0, out + 3, &clamp_lo, &clamp_hi);

  addsub_sse4_1(v1, v2, out + 1, out + 2, &clamp_lo, &clamp_hi);

  if (!do_cols) {

    log_range = AOMMAX(16, bd + 6);

    clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    shift_and_clamp_sse4_1(out + 0, out + 3, &clamp_lo, &clamp_hi, out_shift);

    shift_and_clamp_sse4_1(out + 1, out + 2, &clamp_lo, &clamp_hi, out_shift);

static void iadst4x4_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                            int bd, int out_shift) {

  const int32_t *sinpi = sinpi_arr(bit);

  const __m128i zero = _mm_setzero_si128();

  __m128i rnding = _mm_set1_epi32(1 << (bit + 4 - 1));

  rnding = _mm_unpacklo_epi32(rnding, zero);

  const __m128i mul = _mm_set1_epi32(1 << 4);

  const __m128i sinpi1 = _mm_set1_epi32((int)sinpi[1]);

  const __m128i sinpi2 = _mm_set1_epi32((int)sinpi[2]);

  const __m128i sinpi3 = _mm_set1_epi32((int)sinpi[3]);

  const __m128i sinpi4 = _mm_set1_epi32((int)sinpi[4]);

  __m128i t;

  __m128i s0, s1, s2, s3, s4, s5, s6, s7;

  __m128i x0, x1, x2, x3;

  __m128i u0, u1, u2, u3;

  __m128i u0_low, u1_low, u2_low, u3_low;

  __m128i u0_high, u1_high, u2_high, u3_high;

  x0 = in[0];

  x1 = in[1];

  x2 = in[2];

  x3 = in[3];

  s0 = _mm_mullo_epi32(x0, sinpi1);

  s1 = _mm_mullo_epi32(x0, sinpi2);

  s2 = _mm_mullo_epi32(x1, sinpi3);

  s3 = _mm_mullo_epi32(x2, sinpi4);

  s4 = _mm_mullo_epi32(x2, sinpi1);

  s5 = _mm_mullo_epi32(x3, sinpi2);

  s6 = _mm_mullo_epi32(x3, sinpi4);

  t = _mm_sub_epi32(x0, x2);

  s7 = _mm_add_epi32(t, x3);

  t = _mm_add_epi32(s0, s3);

  s0 = _mm_add_epi32(t, s5);

  t = _mm_sub_epi32(s1, s4);

  s1 = _mm_sub_epi32(t, s6);

  s3 = s2;

  s2 = _mm_mullo_epi32(s7, sinpi3);

  u0 = _mm_add_epi32(s0, s3);

  u1 = _mm_add_epi32(s1, s3);

  u2 = s2;

  t = _mm_add_epi32(s0, s1);

  u3 = _mm_sub_epi32(t, s3);

  // u0

  u0_low = _mm_mul_epi32(u0, mul);

  u0_low = _mm_add_epi64(u0_low, rnding);

  u0 = _mm_srli_si128(u0, 4);

  u0_high = _mm_mul_epi32(u0, mul);

  u0_high = _mm_add_epi64(u0_high, rnding);

  u0_low = _mm_srli_si128(u0_low, 2);

  u0_high = _mm_srli_si128(u0_high, 2);

  u0 = _mm_unpacklo_epi32(u0_low, u0_high);

  u0_high = _mm_unpackhi_epi32(u0_low, u0_high);

  u0 = _mm_unpacklo_epi64(u0, u0_high);

  // u1

  u1_low = _mm_mul_epi32(u1, mul);

  u1_low = _mm_add_epi64(u1_low, rnding);

  u1 = _mm_srli_si128(u1, 4);

  u1_high = _mm_mul_epi32(u1, mul);

  u1_high = _mm_add_epi64(u1_high, rnding);

  u1_low = _mm_srli_si128(u1_low, 2);

  u1_high = _mm_srli_si128(u1_high, 2);

  u1 = _mm_unpacklo_epi32(u1_low, u1_high);

  u1_high = _mm_unpackhi_epi32(u1_low, u1_high);

  u1 = _mm_unpacklo_epi64(u1, u1_high);

  // u2

  u2_low = _mm_mul_epi32(u2, mul);

  u2_low = _mm_add_epi64(u2_low, rnding);

  u2 = _mm_srli_si128(u2, 4);

  u2_high = _mm_mul_epi32(u2, mul);

  u2_high = _mm_add_epi64(u2_high, rnding);

  u2_low = _mm_srli_si128(u2_low, 2);

  u2_high = _mm_srli_si128(u2_high, 2);

  u2 = _mm_unpacklo_epi32(u2_low, u2_high);

  u2_high = _mm_unpackhi_epi32(u2_low, u2_high);

  u2 = _mm_unpacklo_epi64(u2, u2_high);

  // u3

  u3_low = _mm_mul_epi32(u3, mul);

  u3_low = _mm_add_epi64(u3_low, rnding);

  u3 = _mm_srli_si128(u3, 4);

  u3_high = _mm_mul_epi32(u3, mul);

  u3_high = _mm_add_epi64(u3_high, rnding);

  u3_low = _mm_srli_si128(u3_low, 2);

  u3_high = _mm_srli_si128(u3_high, 2);

  u3 = _mm_unpacklo_epi32(u3_low, u3_high);

  u3_high = _mm_unpackhi_epi32(u3_low, u3_high);

  u3 = _mm_unpacklo_epi64(u3, u3_high);

  out[0] = u0;

  out[1] = u1;

  out[2] = u2;

  out[3] = u3;

  if (!do_cols) {

    const int log_range = AOMMAX(16, bd + 6);

    const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    round_shift_4x4(out, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo, &clamp_hi, 4);

static void write_buffer_4x4(__m128i *in, uint16_t *output, int stride,

                             int fliplr, int flipud, int shift, int bd) {

  const __m128i zero = _mm_setzero_si128();

  __m128i u0, u1, u2, u3;

  __m128i v0, v1, v2, v3;

  round_shift_4x4(in, shift);

  v0 = _mm_loadl_epi64((__m128i const *)(output + 0 * stride));

  v1 = _mm_loadl_epi64((__m128i const *)(output + 1 * stride));

  v2 = _mm_loadl_epi64((__m128i const *)(output + 2 * stride));

  v3 = _mm_loadl_epi64((__m128i const *)(output + 3 * stride));

  v0 = _mm_unpacklo_epi16(v0, zero);

  v1 = _mm_unpacklo_epi16(v1, zero);

  v2 = _mm_unpacklo_epi16(v2, zero);

  v3 = _mm_unpacklo_epi16(v3, zero);

  if (fliplr) {

    in[0] = _mm_shuffle_epi32(in[0], 0x1B);

    in[1] = _mm_shuffle_epi32(in[1], 0x1B);

    in[2] = _mm_shuffle_epi32(in[2], 0x1B);

    in[3] = _mm_shuffle_epi32(in[3], 0x1B);

  if (flipud) {

    u0 = _mm_add_epi32(in[3], v0);

    u1 = _mm_add_epi32(in[2], v1);

    u2 = _mm_add_epi32(in[1], v2);

    u3 = _mm_add_epi32(in[0], v3);

  } else {

    u0 = _mm_add_epi32(in[0], v0);

    u1 = _mm_add_epi32(in[1], v1);

    u2 = _mm_add_epi32(in[2], v2);

    u3 = _mm_add_epi32(in[3], v3);

  v0 = _mm_packus_epi32(u0, u1);

  v2 = _mm_packus_epi32(u2, u3);

  u0 = highbd_clamp_epi16(v0, bd);

  u2 = highbd_clamp_epi16(v2, bd);

  v0 = _mm_unpacklo_epi64(u0, u0);

  v1 = _mm_unpackhi_epi64(u0, u0);

  v2 = _mm_unpacklo_epi64(u2, u2);

  v3 = _mm_unpackhi_epi64(u2, u2);

  _mm_storel_epi64((__m128i *)(output + 0 * stride), v0);

  _mm_storel_epi64((__m128i *)(output + 1 * stride), v1);

  _mm_storel_epi64((__m128i *)(output + 2 * stride), v2);

  _mm_storel_epi64((__m128i *)(output + 3 * stride), v3);

static void iidentity4_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                              int bd, int out_shift) {

  (void)bit;

  __m128i zero = _mm_setzero_si128();

  __m128i fact = _mm_set1_epi32(NewSqrt2);

  __m128i offset = _mm_set1_epi32(1 << (NewSqrt2Bits - 1));

  __m128i a0_low, a1_low;

  __m128i a0_high, a1_high;

  offset = _mm_unpacklo_epi32(offset, zero);

  for (int i = 0; i < 4; i++) {

    a0_low = _mm_mul_epi32(in[i], fact);

    a0_low = _mm_add_epi32(a0_low, offset);

    a0_low = _mm_srli_epi64(a0_low, NewSqrt2Bits);

    a0_high = _mm_srli_si128(in[i], 4);

    a0_high = _mm_mul_epi32(a0_high, fact);

    a0_high = _mm_add_epi32(a0_high, offset);

    a0_high = _mm_srli_epi64(a0_high, NewSqrt2Bits);

    a1_low = _mm_unpacklo_epi32(a0_low, a0_high);

    a1_high = _mm_unpackhi_epi32(a0_low, a0_high);

    out[i] = _mm_unpacklo_epi64(a1_low, a1_high);

  if (!do_cols) {

    const int log_range = AOMMAX(16, bd + 6);

    const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    round_shift_4x4(out, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo, &clamp_hi, 4);

void av1_inv_txfm2d_add_4x4_sse4_1(const int32_t *input, uint16_t *output,

                                   int stride, TX_TYPE tx_type, int bd) {

  __m128i in[4];

  const int8_t *shift = av1_inv_txfm_shift_ls[TX_4X4];

  switch (tx_type) {

    case DCT_DCT:

      load_buffer_4x4(input, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case ADST_DCT:

      load_buffer_4x4(input, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case DCT_ADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case ADST_ADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case FLIPADST_DCT:

      load_buffer_4x4(input, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 1, -shift[1], bd);

      break;

    case DCT_FLIPADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 1, 0, -shift[1], bd);

      break;

    case FLIPADST_FLIPADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 1, 1, -shift[1], bd);

      break;

    case ADST_FLIPADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 1, 0, -shift[1], bd);

      break;

    case FLIPADST_ADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 1, -shift[1], bd);

      break;

    case IDTX:

      load_buffer_4x4(input, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case V_DCT:

      load_buffer_4x4(input, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case H_DCT:

      load_buffer_4x4(input, in);

      idct4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case V_ADST:

      load_buffer_4x4(input, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case H_ADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 0, -shift[1], bd);

      break;

    case V_FLIPADST:

      load_buffer_4x4(input, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 0, 1, -shift[1], bd);

      break;

    case H_FLIPADST:

      load_buffer_4x4(input, in);

      iadst4x4_sse4_1(in, in, INV_COS_BIT, 0, bd, 0);

      transpose_32bit_4x4(in, in);

      iidentity4_sse4_1(in, in, INV_COS_BIT, 1, bd, 0);

      write_buffer_4x4(in, output, stride, 1, 0, -shift[1], bd);

      break;

    default: assert(0);

// 8x8

static void load_buffer_8x8(const int32_t *coeff, __m128i *in) {

  in[0] = _mm_load_si128((const __m128i *)(coeff + 0));

  in[1] = _mm_load_si128((const __m128i *)(coeff + 4));

  in[2] = _mm_load_si128((const __m128i *)(coeff + 8));

  in[3] = _mm_load_si128((const __m128i *)(coeff + 12));

  in[4] = _mm_load_si128((const __m128i *)(coeff + 16));

  in[5] = _mm_load_si128((const __m128i *)(coeff + 20));

  in[6] = _mm_load_si128((const __m128i *)(coeff + 24));

  in[7] = _mm_load_si128((const __m128i *)(coeff + 28));

  in[8] = _mm_load_si128((const __m128i *)(coeff + 32));

  in[9] = _mm_load_si128((const __m128i *)(coeff + 36));

  in[10] = _mm_load_si128((const __m128i *)(coeff + 40));

  in[11] = _mm_load_si128((const __m128i *)(coeff + 44));

  in[12] = _mm_load_si128((const __m128i *)(coeff + 48));

  in[13] = _mm_load_si128((const __m128i *)(coeff + 52));

  in[14] = _mm_load_si128((const __m128i *)(coeff + 56));

  in[15] = _mm_load_si128((const __m128i *)(coeff + 60));

static void idct8x8_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                           int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u0, u1, u2, u3, u4, u5, u6, u7;

  __m128i v0, v1, v2, v3, v4, v5, v6, v7;

  __m128i x, y;

  int col;

  // Note:

  //  Even column: 0, 2, ..., 14

  //  Odd column: 1, 3, ..., 15

  //  one even column plus one odd column constructs one row (8 coeffs)

  //  total we have 8 rows (8x8).

  for (col = 0; col < 2; ++col) {

    // stage 0

    // stage 1

    // stage 2

    u0 = in[0 * 2 + col];

    u1 = in[4 * 2 + col];

    u2 = in[2 * 2 + col];

    u3 = in[6 * 2 + col];

    x = _mm_mullo_epi32(in[1 * 2 + col], cospi56);

    y = _mm_mullo_epi32(in[7 * 2 + col], cospim8);

    u4 = _mm_add_epi32(x, y);

    u4 = _mm_add_epi32(u4, rnding);

    u4 = _mm_srai_epi32(u4, bit);

    x = _mm_mullo_epi32(in[1 * 2 + col], cospi8);

    y = _mm_mullo_epi32(in[7 * 2 + col], cospi56);

    u7 = _mm_add_epi32(x, y);

    u7 = _mm_add_epi32(u7, rnding);

    u7 = _mm_srai_epi32(u7, bit);

    x = _mm_mullo_epi32(in[5 * 2 + col], cospi24);

    y = _mm_mullo_epi32(in[3 * 2 + col], cospim40);

    u5 = _mm_add_epi32(x, y);

    u5 = _mm_add_epi32(u5, rnding);

    u5 = _mm_srai_epi32(u5, bit);

    x = _mm_mullo_epi32(in[5 * 2 + col], cospi40);

    y = _mm_mullo_epi32(in[3 * 2 + col], cospi24);

    u6 = _mm_add_epi32(x, y);

    u6 = _mm_add_epi32(u6, rnding);

    u6 = _mm_srai_epi32(u6, bit);

    // stage 3

    x = _mm_mullo_epi32(u0, cospi32);

    y = _mm_mullo_epi32(u1, cospi32);

    v0 = _mm_add_epi32(x, y);

    v0 = _mm_add_epi32(v0, rnding);

    v0 = _mm_srai_epi32(v0, bit);

    v1 = _mm_sub_epi32(x, y);

    v1 = _mm_add_epi32(v1, rnding);

    v1 = _mm_srai_epi32(v1, bit);

    x = _mm_mullo_epi32(u2, cospi48);

    y = _mm_mullo_epi32(u3, cospim16);

    v2 = _mm_add_epi32(x, y);

    v2 = _mm_add_epi32(v2, rnding);

    v2 = _mm_srai_epi32(v2, bit);

    x = _mm_mullo_epi32(u2, cospi16);

    y = _mm_mullo_epi32(u3, cospi48);

    v3 = _mm_add_epi32(x, y);

    v3 = _mm_add_epi32(v3, rnding);

    v3 = _mm_srai_epi32(v3, bit);

    addsub_sse4_1(u4, u5, &v4, &v5, &clamp_lo, &clamp_hi);

    addsub_sse4_1(u7, u6, &v7, &v6, &clamp_lo, &clamp_hi);

    // stage 4

    addsub_sse4_1(v0, v3, &u0, &u3, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v1, v2, &u1, &u2, &clamp_lo, &clamp_hi);

    u4 = v4;

    u7 = v7;

    x = _mm_mullo_epi32(v5, cospi32);

    y = _mm_mullo_epi32(v6, cospi32);

    u6 = _mm_add_epi32(y, x);

    u6 = _mm_add_epi32(u6, rnding);

    u6 = _mm_srai_epi32(u6, bit);

    u5 = _mm_sub_epi32(y, x);

    u5 = _mm_add_epi32(u5, rnding);

    u5 = _mm_srai_epi32(u5, bit);

    // stage 5

    addsub_sse4_1(u0, u7, out + 0 * 2 + col, out + 7 * 2 + col, &clamp_lo,

                  &clamp_hi);

    addsub_sse4_1(u1, u6, out + 1 * 2 + col, out + 6 * 2 + col, &clamp_lo,

                  &clamp_hi);

    addsub_sse4_1(u2, u5, out + 2 * 2 + col, out + 5 * 2 + col, &clamp_lo,

                  &clamp_hi);

    addsub_sse4_1(u3, u4, out + 3 * 2 + col, out + 4 * 2 + col, &clamp_lo,

                  &clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    round_shift_8x8(out, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 16);

static void iadst8x8_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                            int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const __m128i kZero = _mm_setzero_si128();

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u[8], v[8], x;

  // Even 8 points: 0, 2, ..., 14

  // stage 0

  // stage 1

  // stage 2

  // (1)

  u[0] = _mm_mullo_epi32(in[14], cospi4);

  x = _mm_mullo_epi32(in[0], cospi60);

  u[0] = _mm_add_epi32(u[0], x);

  u[0] = _mm_add_epi32(u[0], rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  u[1] = _mm_mullo_epi32(in[14], cospi60);

  x = _mm_mullo_epi32(in[0], cospi4);

  u[1] = _mm_sub_epi32(u[1], x);

  u[1] = _mm_add_epi32(u[1], rnding);

  u[1] = _mm_srai_epi32(u[1], bit);

  // (2)

  u[2] = _mm_mullo_epi32(in[10], cospi20);

  x = _mm_mullo_epi32(in[4], cospi44);

  u[2] = _mm_add_epi32(u[2], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_mullo_epi32(in[10], cospi44);

  x = _mm_mullo_epi32(in[4], cospi20);

  u[3] = _mm_sub_epi32(u[3], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  // (3)

  u[4] = _mm_mullo_epi32(in[6], cospi36);

  x = _mm_mullo_epi32(in[8], cospi28);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(in[6], cospi28);

  x = _mm_mullo_epi32(in[8], cospi36);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  // (4)

  u[6] = _mm_mullo_epi32(in[2], cospi52);

  x = _mm_mullo_epi32(in[12], cospi12);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(in[2], cospi12);

  x = _mm_mullo_epi32(in[12], cospi52);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 3

  addsub_sse4_1(u[0], u[4], &v[0], &v[4], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[5], &v[1], &v[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[6], &v[2], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[7], &v[3], &v[7], &clamp_lo, &clamp_hi);

  // stage 4

  u[0] = v[0];

  u[1] = v[1];

  u[2] = v[2];

  u[3] = v[3];

  u[4] = _mm_mullo_epi32(v[4], cospi16);

  x = _mm_mullo_epi32(v[5], cospi48);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(v[4], cospi48);

  x = _mm_mullo_epi32(v[5], cospi16);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  u[6] = _mm_mullo_epi32(v[6], cospim48);

  x = _mm_mullo_epi32(v[7], cospi16);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(v[6], cospi16);

  x = _mm_mullo_epi32(v[7], cospim48);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 5

  addsub_sse4_1(u[0], u[2], &v[0], &v[2], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[3], &v[1], &v[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[6], &v[4], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[7], &v[5], &v[7], &clamp_lo, &clamp_hi);

  // stage 6

  u[0] = v[0];

  u[1] = v[1];

  u[4] = v[4];

  u[5] = v[5];

  v[0] = _mm_mullo_epi32(v[2], cospi32);

  x = _mm_mullo_epi32(v[3], cospi32);

  u[2] = _mm_add_epi32(v[0], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_sub_epi32(v[0], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  v[0] = _mm_mullo_epi32(v[6], cospi32);

  x = _mm_mullo_epi32(v[7], cospi32);

  u[6] = _mm_add_epi32(v[0], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_sub_epi32(v[0], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 7

  if (do_cols) {

    out[0] = u[0];

    out[2] = _mm_sub_epi32(kZero, u[4]);

    out[4] = u[6];

    out[6] = _mm_sub_epi32(kZero, u[2]);

    out[8] = u[3];

    out[10] = _mm_sub_epi32(kZero, u[7]);

    out[12] = u[5];

    out[14] = _mm_sub_epi32(kZero, u[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(u[0], u[4], out + 0, out + 2, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[6], u[2], out + 4, out + 6, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[3], u[7], out + 8, out + 10, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[5], u[1], out + 12, out + 14, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

  // Odd 8 points: 1, 3, ..., 15

  // stage 0

  // stage 1

  // stage 2

  // (1)

  u[0] = _mm_mullo_epi32(in[15], cospi4);

  x = _mm_mullo_epi32(in[1], cospi60);

  u[0] = _mm_add_epi32(u[0], x);

  u[0] = _mm_add_epi32(u[0], rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  u[1] = _mm_mullo_epi32(in[15], cospi60);

  x = _mm_mullo_epi32(in[1], cospi4);

  u[1] = _mm_sub_epi32(u[1], x);

  u[1] = _mm_add_epi32(u[1], rnding);

  u[1] = _mm_srai_epi32(u[1], bit);

  // (2)

  u[2] = _mm_mullo_epi32(in[11], cospi20);

  x = _mm_mullo_epi32(in[5], cospi44);

  u[2] = _mm_add_epi32(u[2], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_mullo_epi32(in[11], cospi44);

  x = _mm_mullo_epi32(in[5], cospi20);

  u[3] = _mm_sub_epi32(u[3], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  // (3)

  u[4] = _mm_mullo_epi32(in[7], cospi36);

  x = _mm_mullo_epi32(in[9], cospi28);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(in[7], cospi28);

  x = _mm_mullo_epi32(in[9], cospi36);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  // (4)

  u[6] = _mm_mullo_epi32(in[3], cospi52);

  x = _mm_mullo_epi32(in[13], cospi12);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(in[3], cospi12);

  x = _mm_mullo_epi32(in[13], cospi52);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 3

  addsub_sse4_1(u[0], u[4], &v[0], &v[4], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[5], &v[1], &v[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[6], &v[2], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[7], &v[3], &v[7], &clamp_lo, &clamp_hi);

  // stage 4

  u[0] = v[0];

  u[1] = v[1];

  u[2] = v[2];

  u[3] = v[3];

  u[4] = _mm_mullo_epi32(v[4], cospi16);

  x = _mm_mullo_epi32(v[5], cospi48);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(v[4], cospi48);

  x = _mm_mullo_epi32(v[5], cospi16);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  u[6] = _mm_mullo_epi32(v[6], cospim48);

  x = _mm_mullo_epi32(v[7], cospi16);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(v[6], cospi16);

  x = _mm_mullo_epi32(v[7], cospim48);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 5

  addsub_sse4_1(u[0], u[2], &v[0], &v[2], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[3], &v[1], &v[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[6], &v[4], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[7], &v[5], &v[7], &clamp_lo, &clamp_hi);

  // stage 6

  u[0] = v[0];

  u[1] = v[1];

  u[4] = v[4];

  u[5] = v[5];

  v[0] = _mm_mullo_epi32(v[2], cospi32);

  x = _mm_mullo_epi32(v[3], cospi32);

  u[2] = _mm_add_epi32(v[0], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_sub_epi32(v[0], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  v[0] = _mm_mullo_epi32(v[6], cospi32);

  x = _mm_mullo_epi32(v[7], cospi32);

  u[6] = _mm_add_epi32(v[0], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_sub_epi32(v[0], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 7

  if (do_cols) {

    out[1] = u[0];

    out[3] = _mm_sub_epi32(kZero, u[4]);

    out[5] = u[6];

    out[7] = _mm_sub_epi32(kZero, u[2]);

    out[9] = u[3];

    out[11] = _mm_sub_epi32(kZero, u[7]);

    out[13] = u[5];

    out[15] = _mm_sub_epi32(kZero, u[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(u[0], u[4], out + 1, out + 3, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[6], u[2], out + 5, out + 7, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[3], u[7], out + 9, out + 11, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[5], u[1], out + 13, out + 15, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

static void iidentity8_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                              int bd, int out_shift) {

  (void)bit;

  out[0] = _mm_add_epi32(in[0], in[0]);

  out[1] = _mm_add_epi32(in[1], in[1]);

  out[2] = _mm_add_epi32(in[2], in[2]);

  out[3] = _mm_add_epi32(in[3], in[3]);

  out[4] = _mm_add_epi32(in[4], in[4]);

  out[5] = _mm_add_epi32(in[5], in[5]);

  out[6] = _mm_add_epi32(in[6], in[6]);

  out[7] = _mm_add_epi32(in[7], in[7]);

  if (!do_cols) {

    const int log_range = AOMMAX(16, bd + 6);

    const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    round_shift_4x4(out, out_shift);

    round_shift_4x4(out + 4, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo, &clamp_hi, 8);

static __m128i get_recon_8x8(const __m128i pred, __m128i res_lo, __m128i res_hi,

                             int fliplr, int bd) {

  __m128i x0, x1;

  const __m128i zero = _mm_setzero_si128();

  x0 = _mm_unpacklo_epi16(pred, zero);

  x1 = _mm_unpackhi_epi16(pred, zero);

  if (fliplr) {

    res_lo = _mm_shuffle_epi32(res_lo, 0x1B);

    res_hi = _mm_shuffle_epi32(res_hi, 0x1B);

    x0 = _mm_add_epi32(res_hi, x0);

    x1 = _mm_add_epi32(res_lo, x1);

  } else {

    x0 = _mm_add_epi32(res_lo, x0);

    x1 = _mm_add_epi32(res_hi, x1);

  x0 = _mm_packus_epi32(x0, x1);

  return highbd_clamp_epi16(x0, bd);

static void write_buffer_8x8(__m128i *in, uint16_t *output, int stride,

                             int fliplr, int flipud, int shift, int bd) {

  __m128i u0, u1, u2, u3, u4, u5, u6, u7;

  __m128i v0, v1, v2, v3, v4, v5, v6, v7;

  round_shift_8x8(in, shift);

  v0 = _mm_load_si128((__m128i const *)(output + 0 * stride));

  v1 = _mm_load_si128((__m128i const *)(output + 1 * stride));

  v2 = _mm_load_si128((__m128i const *)(output + 2 * stride));

  v3 = _mm_load_si128((__m128i const *)(output + 3 * stride));

  v4 = _mm_load_si128((__m128i const *)(output + 4 * stride));

  v5 = _mm_load_si128((__m128i const *)(output + 5 * stride));

  v6 = _mm_load_si128((__m128i const *)(output + 6 * stride));

  v7 = _mm_load_si128((__m128i const *)(output + 7 * stride));

  if (flipud) {

    u0 = get_recon_8x8(v0, in[14], in[15], fliplr, bd);

    u1 = get_recon_8x8(v1, in[12], in[13], fliplr, bd);

    u2 = get_recon_8x8(v2, in[10], in[11], fliplr, bd);

    u3 = get_recon_8x8(v3, in[8], in[9], fliplr, bd);

    u4 = get_recon_8x8(v4, in[6], in[7], fliplr, bd);

    u5 = get_recon_8x8(v5, in[4], in[5], fliplr, bd);

    u6 = get_recon_8x8(v6, in[2], in[3], fliplr, bd);

    u7 = get_recon_8x8(v7, in[0], in[1], fliplr, bd);

  } else {

    u0 = get_recon_8x8(v0, in[0], in[1], fliplr, bd);

    u1 = get_recon_8x8(v1, in[2], in[3], fliplr, bd);

    u2 = get_recon_8x8(v2, in[4], in[5], fliplr, bd);

    u3 = get_recon_8x8(v3, in[6], in[7], fliplr, bd);

    u4 = get_recon_8x8(v4, in[8], in[9], fliplr, bd);

    u5 = get_recon_8x8(v5, in[10], in[11], fliplr, bd);

    u6 = get_recon_8x8(v6, in[12], in[13], fliplr, bd);

    u7 = get_recon_8x8(v7, in[14], in[15], fliplr, bd);

  _mm_store_si128((__m128i *)(output + 0 * stride), u0);

  _mm_store_si128((__m128i *)(output + 1 * stride), u1);

  _mm_store_si128((__m128i *)(output + 2 * stride), u2);

  _mm_store_si128((__m128i *)(output + 3 * stride), u3);

  _mm_store_si128((__m128i *)(output + 4 * stride), u4);

  _mm_store_si128((__m128i *)(output + 5 * stride), u5);

  _mm_store_si128((__m128i *)(output + 6 * stride), u6);

  _mm_store_si128((__m128i *)(output + 7 * stride), u7);

void av1_inv_txfm2d_add_8x8_sse4_1(const int32_t *input, uint16_t *output,

                                   int stride, TX_TYPE tx_type, int bd) {

  __m128i in[16], out[16];

  const int8_t *shift = av1_inv_txfm_shift_ls[TX_8X8];

  switch (tx_type) {

    case DCT_DCT:

      load_buffer_8x8(input, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 0, -shift[1], bd);

      break;

    case DCT_ADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 0, -shift[1], bd);

      break;

    case ADST_DCT:

      load_buffer_8x8(input, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 0, -shift[1], bd);

      break;

    case ADST_ADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 0, -shift[1], bd);

      break;

    case FLIPADST_DCT:

      load_buffer_8x8(input, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 1, -shift[1], bd);

      break;

    case DCT_FLIPADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      idct8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 1, 0, -shift[1], bd);

      break;

    case ADST_FLIPADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 1, 0, -shift[1], bd);

      break;

    case FLIPADST_FLIPADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 1, 1, -shift[1], bd);

      break;

    case FLIPADST_ADST:

      load_buffer_8x8(input, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 0, bd, -shift[0]);

      transpose_8x8(out, in);

      iadst8x8_sse4_1(in, out, INV_COS_BIT, 1, bd, 0);

      write_buffer_8x8(out, output, stride, 0, 1, -shift[1], bd);

      break;

    default: assert(0);

static void idct8x8_low1_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                                int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i x;

  // stage 0

  // stage 1

  // stage 2

  // stage 3

  x = _mm_mullo_epi32(in[0], cospi32);

  x = _mm_add_epi32(x, rnding);

  x = _mm_srai_epi32(x, bit);

  // stage 4

  // stage 5

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    clamp_lo = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    clamp_hi = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    __m128i offset = _mm_set1_epi32((1 << out_shift) >> 1);

    x = _mm_add_epi32(x, offset);

    x = _mm_sra_epi32(x, _mm_cvtsi32_si128(out_shift));

  x = _mm_max_epi32(x, clamp_lo);

  x = _mm_min_epi32(x, clamp_hi);

  out[0] = x;

  out[1] = x;

  out[2] = x;

  out[3] = x;

  out[4] = x;

  out[5] = x;

  out[6] = x;

  out[7] = x;

static void idct8x8_new_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                               int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u0, u1, u2, u3, u4, u5, u6, u7;

  __m128i v0, v1, v2, v3, v4, v5, v6, v7;

  __m128i x, y;

  // stage 0

  // stage 1

  // stage 2

  u0 = in[0];

  u1 = in[4];

  u2 = in[2];

  u3 = in[6];

  x = _mm_mullo_epi32(in[1], cospi56);

  y = _mm_mullo_epi32(in[7], cospim8);

  u4 = _mm_add_epi32(x, y);

  u4 = _mm_add_epi32(u4, rnding);

  u4 = _mm_srai_epi32(u4, bit);

  x = _mm_mullo_epi32(in[1], cospi8);

  y = _mm_mullo_epi32(in[7], cospi56);

  u7 = _mm_add_epi32(x, y);

  u7 = _mm_add_epi32(u7, rnding);

  u7 = _mm_srai_epi32(u7, bit);

  x = _mm_mullo_epi32(in[5], cospi24);

  y = _mm_mullo_epi32(in[3], cospim40);

  u5 = _mm_add_epi32(x, y);

  u5 = _mm_add_epi32(u5, rnding);

  u5 = _mm_srai_epi32(u5, bit);

  x = _mm_mullo_epi32(in[5], cospi40);

  y = _mm_mullo_epi32(in[3], cospi24);

  u6 = _mm_add_epi32(x, y);

  u6 = _mm_add_epi32(u6, rnding);

  u6 = _mm_srai_epi32(u6, bit);

  // stage 3

  x = _mm_mullo_epi32(u0, cospi32);

  y = _mm_mullo_epi32(u1, cospi32);

  v0 = _mm_add_epi32(x, y);

  v0 = _mm_add_epi32(v0, rnding);

  v0 = _mm_srai_epi32(v0, bit);

  v1 = _mm_sub_epi32(x, y);

  v1 = _mm_add_epi32(v1, rnding);

  v1 = _mm_srai_epi32(v1, bit);

  x = _mm_mullo_epi32(u2, cospi48);

  y = _mm_mullo_epi32(u3, cospim16);

  v2 = _mm_add_epi32(x, y);

  v2 = _mm_add_epi32(v2, rnding);

  v2 = _mm_srai_epi32(v2, bit);

  x = _mm_mullo_epi32(u2, cospi16);

  y = _mm_mullo_epi32(u3, cospi48);

  v3 = _mm_add_epi32(x, y);

  v3 = _mm_add_epi32(v3, rnding);

  v3 = _mm_srai_epi32(v3, bit);

  addsub_sse4_1(u4, u5, &v4, &v5, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u7, u6, &v7, &v6, &clamp_lo, &clamp_hi);

  // stage 4

  addsub_sse4_1(v0, v3, &u0, &u3, &clamp_lo, &clamp_hi);

  addsub_sse4_1(v1, v2, &u1, &u2, &clamp_lo, &clamp_hi);

  u4 = v4;

  u7 = v7;

  x = _mm_mullo_epi32(v5, cospi32);

  y = _mm_mullo_epi32(v6, cospi32);

  u6 = _mm_add_epi32(y, x);

  u6 = _mm_add_epi32(u6, rnding);

  u6 = _mm_srai_epi32(u6, bit);

  u5 = _mm_sub_epi32(y, x);

  u5 = _mm_add_epi32(u5, rnding);

  u5 = _mm_srai_epi32(u5, bit);

  // stage 5

  addsub_sse4_1(u0, u7, out + 0, out + 7, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u1, u6, out + 1, out + 6, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u2, u5, out + 2, out + 5, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u3, u4, out + 3, out + 4, &clamp_lo, &clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    round_shift_4x4(out, out_shift);

    round_shift_4x4(out + 4, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 8);

static void iadst8x8_low1_sse4_1(__m128i *in, __m128i *out, int bit,

                                 int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const __m128i kZero = _mm_setzero_si128();

  __m128i u[8], x;

  // stage 0

  // stage 1

  // stage 2

  x = _mm_mullo_epi32(in[0], cospi60);

  u[0] = _mm_add_epi32(x, rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  x = _mm_mullo_epi32(in[0], cospi4);

  u[1] = _mm_sub_epi32(kZero, x);

  u[1] = _mm_add_epi32(u[1], rnding);

  u[1] = _mm_srai_epi32(u[1], bit);

  // stage 3

  // stage 4

  __m128i temp1, temp2;

  temp1 = _mm_mullo_epi32(u[0], cospi16);

  x = _mm_mullo_epi32(u[1], cospi48);

  temp1 = _mm_add_epi32(temp1, x);

  temp1 = _mm_add_epi32(temp1, rnding);

  temp1 = _mm_srai_epi32(temp1, bit);

  u[4] = temp1;

  temp2 = _mm_mullo_epi32(u[0], cospi48);

  x = _mm_mullo_epi32(u[1], cospi16);

  u[5] = _mm_sub_epi32(temp2, x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  // stage 5

  // stage 6

  temp1 = _mm_mullo_epi32(u[0], cospi32);

  x = _mm_mullo_epi32(u[1], cospi32);

  u[2] = _mm_add_epi32(temp1, x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_sub_epi32(temp1, x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  temp1 = _mm_mullo_epi32(u[4], cospi32);

  x = _mm_mullo_epi32(u[5], cospi32);

  u[6] = _mm_add_epi32(temp1, x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_sub_epi32(temp1, x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 7

  if (do_cols) {

    out[0] = u[0];

    out[1] = _mm_sub_epi32(kZero, u[4]);

    out[2] = u[6];

    out[3] = _mm_sub_epi32(kZero, u[2]);

    out[4] = u[3];

    out[5] = _mm_sub_epi32(kZero, u[7]);

    out[6] = u[5];

    out[7] = _mm_sub_epi32(kZero, u[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(u[0], u[4], out + 0, out + 1, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[6], u[2], out + 2, out + 3, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[3], u[7], out + 4, out + 5, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[5], u[1], out + 6, out + 7, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

static void iadst8x8_new_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                                int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const __m128i kZero = _mm_setzero_si128();

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u[8], v[8], x;

  // stage 0

  // stage 1

  // stage 2

  u[0] = _mm_mullo_epi32(in[7], cospi4);

  x = _mm_mullo_epi32(in[0], cospi60);

  u[0] = _mm_add_epi32(u[0], x);

  u[0] = _mm_add_epi32(u[0], rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  u[1] = _mm_mullo_epi32(in[7], cospi60);

  x = _mm_mullo_epi32(in[0], cospi4);

  u[1] = _mm_sub_epi32(u[1], x);

  u[1] = _mm_add_epi32(u[1], rnding);

  u[1] = _mm_srai_epi32(u[1], bit);

  // (2)

  u[2] = _mm_mullo_epi32(in[5], cospi20);

  x = _mm_mullo_epi32(in[2], cospi44);

  u[2] = _mm_add_epi32(u[2], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_mullo_epi32(in[5], cospi44);

  x = _mm_mullo_epi32(in[2], cospi20);

  u[3] = _mm_sub_epi32(u[3], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  // (3)

  u[4] = _mm_mullo_epi32(in[3], cospi36);

  x = _mm_mullo_epi32(in[4], cospi28);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(in[3], cospi28);

  x = _mm_mullo_epi32(in[4], cospi36);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  // (4)

  u[6] = _mm_mullo_epi32(in[1], cospi52);

  x = _mm_mullo_epi32(in[6], cospi12);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(in[1], cospi12);

  x = _mm_mullo_epi32(in[6], cospi52);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 3

  addsub_sse4_1(u[0], u[4], &v[0], &v[4], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[5], &v[1], &v[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[6], &v[2], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[7], &v[3], &v[7], &clamp_lo, &clamp_hi);

  // stage 4

  u[0] = v[0];

  u[1] = v[1];

  u[2] = v[2];

  u[3] = v[3];

  u[4] = _mm_mullo_epi32(v[4], cospi16);

  x = _mm_mullo_epi32(v[5], cospi48);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  u[5] = _mm_mullo_epi32(v[4], cospi48);

  x = _mm_mullo_epi32(v[5], cospi16);

  u[5] = _mm_sub_epi32(u[5], x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  u[6] = _mm_mullo_epi32(v[6], cospim48);

  x = _mm_mullo_epi32(v[7], cospi16);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_mullo_epi32(v[6], cospi16);

  x = _mm_mullo_epi32(v[7], cospim48);

  u[7] = _mm_sub_epi32(u[7], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 5

  addsub_sse4_1(u[0], u[2], &v[0], &v[2], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[3], &v[1], &v[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[6], &v[4], &v[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[7], &v[5], &v[7], &clamp_lo, &clamp_hi);

  // stage 6

  u[0] = v[0];

  u[1] = v[1];

  u[4] = v[4];

  u[5] = v[5];

  v[0] = _mm_mullo_epi32(v[2], cospi32);

  x = _mm_mullo_epi32(v[3], cospi32);

  u[2] = _mm_add_epi32(v[0], x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_sub_epi32(v[0], x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  v[0] = _mm_mullo_epi32(v[6], cospi32);

  x = _mm_mullo_epi32(v[7], cospi32);

  u[6] = _mm_add_epi32(v[0], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_sub_epi32(v[0], x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  // stage 7

  if (do_cols) {

    out[0] = u[0];

    out[1] = _mm_sub_epi32(kZero, u[4]);

    out[2] = u[6];

    out[3] = _mm_sub_epi32(kZero, u[2]);

    out[4] = u[3];

    out[5] = _mm_sub_epi32(kZero, u[7]);

    out[6] = u[5];

    out[7] = _mm_sub_epi32(kZero, u[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(u[0], u[4], out + 0, out + 1, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[6], u[2], out + 2, out + 3, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[3], u[7], out + 4, out + 5, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[5], u[1], out + 6, out + 7, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

static void idct16x16_low1_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  // stage 0

  // stage 1

  // stage 2

  // stage 3

  // stage 4

  in[0] = _mm_mullo_epi32(in[0], cospi32);

  in[0] = _mm_add_epi32(in[0], rnding);

  in[0] = _mm_srai_epi32(in[0], bit);

  // stage 5

  // stage 6

  // stage 7

  if (!do_cols) {

    log_range = AOMMAX(16, bd + 6);

    clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    if (out_shift != 0) {

      __m128i offset = _mm_set1_epi32((1 << out_shift) >> 1);

      in[0] = _mm_add_epi32(in[0], offset);

      in[0] = _mm_sra_epi32(in[0], _mm_cvtsi32_si128(out_shift));

  in[0] = _mm_max_epi32(in[0], clamp_lo);

  in[0] = _mm_min_epi32(in[0], clamp_hi);

  out[0] = in[0];

  out[1] = in[0];

  out[2] = in[0];

  out[3] = in[0];

  out[4] = in[0];

  out[5] = in[0];

  out[6] = in[0];

  out[7] = in[0];

  out[8] = in[0];

  out[9] = in[0];

  out[10] = in[0];

  out[11] = in[0];

  out[12] = in[0];

  out[13] = in[0];

  out[14] = in[0];

  out[15] = in[0];

static void idct16x16_low8_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u[16], x, y;

  // stage 0

  // stage 1

  u[0] = in[0];

  u[2] = in[4];

  u[4] = in[2];

  u[6] = in[6];

  u[8] = in[1];

  u[10] = in[5];

  u[12] = in[3];

  u[14] = in[7];

  // stage 2

  u[15] = half_btf_0_sse4_1(&cospi4, &u[8], &rnding, bit);

  u[8] = half_btf_0_sse4_1(&cospi60, &u[8], &rnding, bit);

  u[9] = half_btf_0_sse4_1(&cospim36, &u[14], &rnding, bit);

  u[14] = half_btf_0_sse4_1(&cospi28, &u[14], &rnding, bit);

  u[13] = half_btf_0_sse4_1(&cospi20, &u[10], &rnding, bit);

  u[10] = half_btf_0_sse4_1(&cospi44, &u[10], &rnding, bit);

  u[11] = half_btf_0_sse4_1(&cospim52, &u[12], &rnding, bit);

  u[12] = half_btf_0_sse4_1(&cospi12, &u[12], &rnding, bit);

  // stage 3

  u[7] = half_btf_0_sse4_1(&cospi8, &u[4], &rnding, bit);

  u[4] = half_btf_0_sse4_1(&cospi56, &u[4], &rnding, bit);

  u[5] = half_btf_0_sse4_1(&cospim40, &u[6], &rnding, bit);

  u[6] = half_btf_0_sse4_1(&cospi24, &u[6], &rnding, bit);

  addsub_sse4_1(u[8], u[9], &u[8], &u[9], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[11], u[10], &u[11], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[12], u[13], &u[12], &u[13], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[15], u[14], &u[15], &u[14], &clamp_lo, &clamp_hi);

  // stage 4

  x = _mm_mullo_epi32(u[0], cospi32);

  u[0] = _mm_add_epi32(x, rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  u[1] = u[0];

  u[3] = half_btf_0_sse4_1(&cospi16, &u[2], &rnding, bit);

  u[2] = half_btf_0_sse4_1(&cospi48, &u[2], &rnding, bit);

  addsub_sse4_1(u[4], u[5], &u[4], &u[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[7], u[6], &u[7], &u[6], &clamp_lo, &clamp_hi);

  x = half_btf_sse4_1(&cospim16, &u[9], &cospi48, &u[14], &rnding, bit);

  u[14] = half_btf_sse4_1(&cospi48, &u[9], &cospi16, &u[14], &rnding, bit);

  u[9] = x;

  y = half_btf_sse4_1(&cospim48, &u[10], &cospim16, &u[13], &rnding, bit);

  u[13] = half_btf_sse4_1(&cospim16, &u[10], &cospi48, &u[13], &rnding, bit);

  u[10] = y;

  // stage 5

  addsub_sse4_1(u[0], u[3], &u[0], &u[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[2], &u[1], &u[2], &clamp_lo, &clamp_hi);

  x = _mm_mullo_epi32(u[5], cospi32);

  y = _mm_mullo_epi32(u[6], cospi32);

  u[5] = _mm_sub_epi32(y, x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  u[6] = _mm_add_epi32(y, x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  addsub_sse4_1(u[8], u[11], &u[8], &u[11], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[9], u[10], &u[9], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[15], u[12], &u[15], &u[12], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[14], u[13], &u[14], &u[13], &clamp_lo, &clamp_hi);

  // stage 6

  addsub_sse4_1(u[0], u[7], &u[0], &u[7], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[6], &u[1], &u[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[5], &u[2], &u[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[4], &u[3], &u[4], &clamp_lo, &clamp_hi);

  x = _mm_mullo_epi32(u[10], cospi32);

  y = _mm_mullo_epi32(u[13], cospi32);

  u[10] = _mm_sub_epi32(y, x);

  u[10] = _mm_add_epi32(u[10], rnding);

  u[10] = _mm_srai_epi32(u[10], bit);

  u[13] = _mm_add_epi32(x, y);

  u[13] = _mm_add_epi32(u[13], rnding);

  u[13] = _mm_srai_epi32(u[13], bit);

  x = _mm_mullo_epi32(u[11], cospi32);

  y = _mm_mullo_epi32(u[12], cospi32);

  u[11] = _mm_sub_epi32(y, x);

  u[11] = _mm_add_epi32(u[11], rnding);

  u[11] = _mm_srai_epi32(u[11], bit);

  u[12] = _mm_add_epi32(x, y);

  u[12] = _mm_add_epi32(u[12], rnding);

  u[12] = _mm_srai_epi32(u[12], bit);

  // stage 7

  addsub_sse4_1(u[0], u[15], out + 0, out + 15, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[14], out + 1, out + 14, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[13], out + 2, out + 13, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[12], out + 3, out + 12, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[11], out + 4, out + 11, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[10], out + 5, out + 10, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[6], u[9], out + 6, out + 9, &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[7], u[8], out + 7, out + 8, &clamp_lo, &clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    round_shift_8x8(out, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 16);

static void iadst16x16_low1_sse4_1(__m128i *in, __m128i *out, int bit,

                                   int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const __m128i zero = _mm_setzero_si128();

  __m128i v[16], x, y, temp1, temp2;

  // stage 0

  // stage 1

  // stage 2

  x = _mm_mullo_epi32(in[0], cospi62);

  v[0] = _mm_add_epi32(x, rnding);

  v[0] = _mm_srai_epi32(v[0], bit);

  x = _mm_mullo_epi32(in[0], cospi2);

  v[1] = _mm_sub_epi32(zero, x);

  v[1] = _mm_add_epi32(v[1], rnding);

  v[1] = _mm_srai_epi32(v[1], bit);

  // stage 3

  v[8] = v[0];

  v[9] = v[1];

  // stage 4

  temp1 = _mm_mullo_epi32(v[8], cospi8);

  x = _mm_mullo_epi32(v[9], cospi56);

  temp1 = _mm_add_epi32(temp1, x);

  temp1 = _mm_add_epi32(temp1, rnding);

  temp1 = _mm_srai_epi32(temp1, bit);

  temp2 = _mm_mullo_epi32(v[8], cospi56);

  x = _mm_mullo_epi32(v[9], cospi8);

  temp2 = _mm_sub_epi32(temp2, x);

  temp2 = _mm_add_epi32(temp2, rnding);

  temp2 = _mm_srai_epi32(temp2, bit);

  v[8] = temp1;

  v[9] = temp2;

  // stage 5

  v[4] = v[0];

  v[5] = v[1];

  v[12] = v[8];

  v[13] = v[9];

  // stage 6

  temp1 = _mm_mullo_epi32(v[4], cospi16);

  x = _mm_mullo_epi32(v[5], cospi48);

  temp1 = _mm_add_epi32(temp1, x);

  temp1 = _mm_add_epi32(temp1, rnding);

  temp1 = _mm_srai_epi32(temp1, bit);

  temp2 = _mm_mullo_epi32(v[4], cospi48);

  x = _mm_mullo_epi32(v[5], cospi16);

  temp2 = _mm_sub_epi32(temp2, x);

  temp2 = _mm_add_epi32(temp2, rnding);

  temp2 = _mm_srai_epi32(temp2, bit);

  v[4] = temp1;

  v[5] = temp2;

  temp1 = _mm_mullo_epi32(v[12], cospi16);

  x = _mm_mullo_epi32(v[13], cospi48);

  temp1 = _mm_add_epi32(temp1, x);

  temp1 = _mm_add_epi32(temp1, rnding);

  temp1 = _mm_srai_epi32(temp1, bit);

  temp2 = _mm_mullo_epi32(v[12], cospi48);

  x = _mm_mullo_epi32(v[13], cospi16);

  temp2 = _mm_sub_epi32(temp2, x);

  temp2 = _mm_add_epi32(temp2, rnding);

  temp2 = _mm_srai_epi32(temp2, bit);

  v[12] = temp1;

  v[13] = temp2;

  // stage 7

  v[2] = v[0];

  v[3] = v[1];

  v[6] = v[4];

  v[7] = v[5];

  v[10] = v[8];

  v[11] = v[9];

  v[14] = v[12];

  v[15] = v[13];

  // stage 8

  y = _mm_mullo_epi32(v[2], cospi32);

  x = _mm_mullo_epi32(v[3], cospi32);

  v[2] = _mm_add_epi32(y, x);

  v[2] = _mm_add_epi32(v[2], rnding);

  v[2] = _mm_srai_epi32(v[2], bit);

  v[3] = _mm_sub_epi32(y, x);

  v[3] = _mm_add_epi32(v[3], rnding);

  v[3] = _mm_srai_epi32(v[3], bit);

  y = _mm_mullo_epi32(v[6], cospi32);

  x = _mm_mullo_epi32(v[7], cospi32);

  v[6] = _mm_add_epi32(y, x);

  v[6] = _mm_add_epi32(v[6], rnding);

  v[6] = _mm_srai_epi32(v[6], bit);

  v[7] = _mm_sub_epi32(y, x);

  v[7] = _mm_add_epi32(v[7], rnding);

  v[7] = _mm_srai_epi32(v[7], bit);

  y = _mm_mullo_epi32(v[10], cospi32);

  x = _mm_mullo_epi32(v[11], cospi32);

  v[10] = _mm_add_epi32(y, x);

  v[10] = _mm_add_epi32(v[10], rnding);

  v[10] = _mm_srai_epi32(v[10], bit);

  v[11] = _mm_sub_epi32(y, x);

  v[11] = _mm_add_epi32(v[11], rnding);

  v[11] = _mm_srai_epi32(v[11], bit);

  y = _mm_mullo_epi32(v[14], cospi32);

  x = _mm_mullo_epi32(v[15], cospi32);

  v[14] = _mm_add_epi32(y, x);

  v[14] = _mm_add_epi32(v[14], rnding);

  v[14] = _mm_srai_epi32(v[14], bit);

  v[15] = _mm_sub_epi32(y, x);

  v[15] = _mm_add_epi32(v[15], rnding);

  v[15] = _mm_srai_epi32(v[15], bit);

  // stage 9

  if (do_cols) {

    out[0] = v[0];

    out[1] = _mm_sub_epi32(zero, v[8]);

    out[2] = v[12];

    out[3] = _mm_sub_epi32(zero, v[4]);

    out[4] = v[6];

    out[5] = _mm_sub_epi32(zero, v[14]);

    out[6] = v[10];

    out[7] = _mm_sub_epi32(zero, v[2]);

    out[8] = v[3];

    out[9] = _mm_sub_epi32(zero, v[11]);

    out[10] = v[15];

    out[11] = _mm_sub_epi32(zero, v[7]);

    out[12] = v[5];

    out[13] = _mm_sub_epi32(zero, v[13]);

    out[14] = v[9];

    out[15] = _mm_sub_epi32(zero, v[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(v[0], v[8], out + 0, out + 1, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(v[12], v[4], out + 2, out + 3, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[6], v[14], out + 4, out + 5, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[10], v[2], out + 6, out + 7, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[3], v[11], out + 8, out + 9, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[15], v[7], out + 10, out + 11, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[5], v[13], out + 12, out + 13, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[9], v[1], out + 14, out + 15, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

static void iadst16x16_low8_sse4_1(__m128i *in, __m128i *out, int bit,

                                   int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi18 = _mm_set1_epi32(cospi[18]);

  const __m128i cospi46 = _mm_set1_epi32(cospi[46]);

  const __m128i cospi26 = _mm_set1_epi32(cospi[26]);

  const __m128i cospi38 = _mm_set1_epi32(cospi[38]);

  const __m128i cospi34 = _mm_set1_epi32(cospi[34]);

  const __m128i cospi30 = _mm_set1_epi32(cospi[30]);

  const __m128i cospi42 = _mm_set1_epi32(cospi[42]);

  const __m128i cospi22 = _mm_set1_epi32(cospi[22]);

  const __m128i cospi50 = _mm_set1_epi32(cospi[50]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi58 = _mm_set1_epi32(cospi[58]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i zero = _mm_setzero_si128();

  __m128i u[16], x, y;

  // stage 0

  // stage 1

  // stage 2

  x = _mm_mullo_epi32(in[0], cospi62);

  u[0] = _mm_add_epi32(x, rnding);

  u[0] = _mm_srai_epi32(u[0], bit);

  x = _mm_mullo_epi32(in[0], cospi2);

  u[1] = _mm_sub_epi32(zero, x);

  u[1] = _mm_add_epi32(u[1], rnding);

  u[1] = _mm_srai_epi32(u[1], bit);

  x = _mm_mullo_epi32(in[2], cospi54);

  u[2] = _mm_add_epi32(x, rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  x = _mm_mullo_epi32(in[2], cospi10);

  u[3] = _mm_sub_epi32(zero, x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  x = _mm_mullo_epi32(in[4], cospi46);

  u[4] = _mm_add_epi32(x, rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  x = _mm_mullo_epi32(in[4], cospi18);

  u[5] = _mm_sub_epi32(zero, x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  x = _mm_mullo_epi32(in[6], cospi38);

  u[6] = _mm_add_epi32(x, rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  x = _mm_mullo_epi32(in[6], cospi26);

  u[7] = _mm_sub_epi32(zero, x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  u[8] = _mm_mullo_epi32(in[7], cospi34);

  u[8] = _mm_add_epi32(u[8], rnding);

  u[8] = _mm_srai_epi32(u[8], bit);

  u[9] = _mm_mullo_epi32(in[7], cospi30);

  u[9] = _mm_add_epi32(u[9], rnding);

  u[9] = _mm_srai_epi32(u[9], bit);

  u[10] = _mm_mullo_epi32(in[5], cospi42);

  u[10] = _mm_add_epi32(u[10], rnding);

  u[10] = _mm_srai_epi32(u[10], bit);

  u[11] = _mm_mullo_epi32(in[5], cospi22);

  u[11] = _mm_add_epi32(u[11], rnding);

  u[11] = _mm_srai_epi32(u[11], bit);

  u[12] = _mm_mullo_epi32(in[3], cospi50);

  u[12] = _mm_add_epi32(u[12], rnding);

  u[12] = _mm_srai_epi32(u[12], bit);

  u[13] = _mm_mullo_epi32(in[3], cospi14);

  u[13] = _mm_add_epi32(u[13], rnding);

  u[13] = _mm_srai_epi32(u[13], bit);

  u[14] = _mm_mullo_epi32(in[1], cospi58);

  u[14] = _mm_add_epi32(u[14], rnding);

  u[14] = _mm_srai_epi32(u[14], bit);

  u[15] = _mm_mullo_epi32(in[1], cospi6);

  u[15] = _mm_add_epi32(u[15], rnding);

  u[15] = _mm_srai_epi32(u[15], bit);

  // stage 3

  addsub_sse4_1(u[0], u[8], &u[0], &u[8], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[9], &u[1], &u[9], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[10], &u[2], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[11], &u[3], &u[11], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[12], &u[4], &u[12], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[13], &u[5], &u[13], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[6], u[14], &u[6], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[7], u[15], &u[7], &u[15], &clamp_lo, &clamp_hi);

  // stage 4

  y = _mm_mullo_epi32(u[8], cospi56);

  x = _mm_mullo_epi32(u[9], cospi56);

  u[8] = _mm_mullo_epi32(u[8], cospi8);

  u[8] = _mm_add_epi32(u[8], x);

  u[8] = _mm_add_epi32(u[8], rnding);

  u[8] = _mm_srai_epi32(u[8], bit);

  x = _mm_mullo_epi32(u[9], cospi8);

  u[9] = _mm_sub_epi32(y, x);

  u[9] = _mm_add_epi32(u[9], rnding);

  u[9] = _mm_srai_epi32(u[9], bit);

  x = _mm_mullo_epi32(u[11], cospi24);

  y = _mm_mullo_epi32(u[10], cospi24);

  u[10] = _mm_mullo_epi32(u[10], cospi40);

  u[10] = _mm_add_epi32(u[10], x);

  u[10] = _mm_add_epi32(u[10], rnding);

  u[10] = _mm_srai_epi32(u[10], bit);

  x = _mm_mullo_epi32(u[11], cospi40);

  u[11] = _mm_sub_epi32(y, x);

  u[11] = _mm_add_epi32(u[11], rnding);

  u[11] = _mm_srai_epi32(u[11], bit);

  x = _mm_mullo_epi32(u[13], cospi8);

  y = _mm_mullo_epi32(u[12], cospi8);

  u[12] = _mm_mullo_epi32(u[12], cospim56);

  u[12] = _mm_add_epi32(u[12], x);

  u[12] = _mm_add_epi32(u[12], rnding);

  u[12] = _mm_srai_epi32(u[12], bit);

  x = _mm_mullo_epi32(u[13], cospim56);

  u[13] = _mm_sub_epi32(y, x);

  u[13] = _mm_add_epi32(u[13], rnding);

  u[13] = _mm_srai_epi32(u[13], bit);

  x = _mm_mullo_epi32(u[15], cospi40);

  y = _mm_mullo_epi32(u[14], cospi40);

  u[14] = _mm_mullo_epi32(u[14], cospim24);

  u[14] = _mm_add_epi32(u[14], x);

  u[14] = _mm_add_epi32(u[14], rnding);

  u[14] = _mm_srai_epi32(u[14], bit);

  x = _mm_mullo_epi32(u[15], cospim24);

  u[15] = _mm_sub_epi32(y, x);

  u[15] = _mm_add_epi32(u[15], rnding);

  u[15] = _mm_srai_epi32(u[15], bit);

  // stage 5

  addsub_sse4_1(u[0], u[4], &u[0], &u[4], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[5], &u[1], &u[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[2], u[6], &u[2], &u[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[3], u[7], &u[3], &u[7], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[8], u[12], &u[8], &u[12], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[9], u[13], &u[9], &u[13], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[10], u[14], &u[10], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[11], u[15], &u[11], &u[15], &clamp_lo, &clamp_hi);

  // stage 6

  x = _mm_mullo_epi32(u[5], cospi48);

  y = _mm_mullo_epi32(u[4], cospi48);

  u[4] = _mm_mullo_epi32(u[4], cospi16);

  u[4] = _mm_add_epi32(u[4], x);

  u[4] = _mm_add_epi32(u[4], rnding);

  u[4] = _mm_srai_epi32(u[4], bit);

  x = _mm_mullo_epi32(u[5], cospi16);

  u[5] = _mm_sub_epi32(y, x);

  u[5] = _mm_add_epi32(u[5], rnding);

  u[5] = _mm_srai_epi32(u[5], bit);

  x = _mm_mullo_epi32(u[7], cospi16);

  y = _mm_mullo_epi32(u[6], cospi16);

  u[6] = _mm_mullo_epi32(u[6], cospim48);

  u[6] = _mm_add_epi32(u[6], x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  x = _mm_mullo_epi32(u[7], cospim48);

  u[7] = _mm_sub_epi32(y, x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  x = _mm_mullo_epi32(u[13], cospi48);

  y = _mm_mullo_epi32(u[12], cospi48);

  u[12] = _mm_mullo_epi32(u[12], cospi16);

  u[12] = _mm_add_epi32(u[12], x);

  u[12] = _mm_add_epi32(u[12], rnding);

  u[12] = _mm_srai_epi32(u[12], bit);

  x = _mm_mullo_epi32(u[13], cospi16);

  u[13] = _mm_sub_epi32(y, x);

  u[13] = _mm_add_epi32(u[13], rnding);

  u[13] = _mm_srai_epi32(u[13], bit);

  x = _mm_mullo_epi32(u[15], cospi16);

  y = _mm_mullo_epi32(u[14], cospi16);

  u[14] = _mm_mullo_epi32(u[14], cospim48);

  u[14] = _mm_add_epi32(u[14], x);

  u[14] = _mm_add_epi32(u[14], rnding);

  u[14] = _mm_srai_epi32(u[14], bit);

  x = _mm_mullo_epi32(u[15], cospim48);

  u[15] = _mm_sub_epi32(y, x);

  u[15] = _mm_add_epi32(u[15], rnding);

  u[15] = _mm_srai_epi32(u[15], bit);

  // stage 7

  addsub_sse4_1(u[0], u[2], &u[0], &u[2], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[1], u[3], &u[1], &u[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[4], u[6], &u[4], &u[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[5], u[7], &u[5], &u[7], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[8], u[10], &u[8], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[9], u[11], &u[9], &u[11], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[12], u[14], &u[12], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(u[13], u[15], &u[13], &u[15], &clamp_lo, &clamp_hi);

  // stage 8

  y = _mm_mullo_epi32(u[2], cospi32);

  x = _mm_mullo_epi32(u[3], cospi32);

  u[2] = _mm_add_epi32(y, x);

  u[2] = _mm_add_epi32(u[2], rnding);

  u[2] = _mm_srai_epi32(u[2], bit);

  u[3] = _mm_sub_epi32(y, x);

  u[3] = _mm_add_epi32(u[3], rnding);

  u[3] = _mm_srai_epi32(u[3], bit);

  y = _mm_mullo_epi32(u[6], cospi32);

  x = _mm_mullo_epi32(u[7], cospi32);

  u[6] = _mm_add_epi32(y, x);

  u[6] = _mm_add_epi32(u[6], rnding);

  u[6] = _mm_srai_epi32(u[6], bit);

  u[7] = _mm_sub_epi32(y, x);

  u[7] = _mm_add_epi32(u[7], rnding);

  u[7] = _mm_srai_epi32(u[7], bit);

  y = _mm_mullo_epi32(u[10], cospi32);

  x = _mm_mullo_epi32(u[11], cospi32);

  u[10] = _mm_add_epi32(y, x);

  u[10] = _mm_add_epi32(u[10], rnding);

  u[10] = _mm_srai_epi32(u[10], bit);

  u[11] = _mm_sub_epi32(y, x);

  u[11] = _mm_add_epi32(u[11], rnding);

  u[11] = _mm_srai_epi32(u[11], bit);

  y = _mm_mullo_epi32(u[14], cospi32);

  x = _mm_mullo_epi32(u[15], cospi32);

  u[14] = _mm_add_epi32(y, x);

  u[14] = _mm_add_epi32(u[14], rnding);

  u[14] = _mm_srai_epi32(u[14], bit);

  u[15] = _mm_sub_epi32(y, x);

  u[15] = _mm_add_epi32(u[15], rnding);

  u[15] = _mm_srai_epi32(u[15], bit);

  // stage 9

  if (do_cols) {

    out[0] = u[0];

    out[1] = _mm_sub_epi32(zero, u[8]);

    out[2] = u[12];

    out[3] = _mm_sub_epi32(zero, u[4]);

    out[4] = u[6];

    out[5] = _mm_sub_epi32(zero, u[14]);

    out[6] = u[10];

    out[7] = _mm_sub_epi32(zero, u[2]);

    out[8] = u[3];

    out[9] = _mm_sub_epi32(zero, u[11]);

    out[10] = u[15];

    out[11] = _mm_sub_epi32(zero, u[7]);

    out[12] = u[5];

    out[13] = _mm_sub_epi32(zero, u[13]);

    out[14] = u[9];

    out[15] = _mm_sub_epi32(zero, u[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(u[0], u[8], out + 0, out + 1, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(u[12], u[4], out + 2, out + 3, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[6], u[14], out + 4, out + 5, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[10], u[2], out + 6, out + 7, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[3], u[11], out + 8, out + 9, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[15], u[7], out + 10, out + 11, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[5], u[13], out + 12, out + 13, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(u[9], u[1], out + 14, out + 15, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

static void idct16x16_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                             int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i u[16], v[16], x, y;

    // stage 0

    // stage 1

    u[0] = in[0];

    u[1] = in[8];

    u[2] = in[4];

    u[3] = in[12];

    u[4] = in[2];

    u[5] = in[10];

    u[6] = in[6];

    u[7] = in[14];

    u[8] = in[1];

    u[9] = in[9];

    u[10] = in[5];

    u[11] = in[13];

    u[12] = in[3];

    u[13] = in[11];

    u[14] = in[7];

    u[15] = in[15];

    // stage 2

    v[0] = u[0];

    v[1] = u[1];

    v[2] = u[2];

    v[3] = u[3];

    v[4] = u[4];

    v[5] = u[5];

    v[6] = u[6];

    v[7] = u[7];

    v[8] = half_btf_sse4_1(&cospi60, &u[8], &cospim4, &u[15], &rnding, bit);

    v[9] = half_btf_sse4_1(&cospi28, &u[9], &cospim36, &u[14], &rnding, bit);

    v[10] = half_btf_sse4_1(&cospi44, &u[10], &cospim20, &u[13], &rnding, bit);

    v[11] = half_btf_sse4_1(&cospi12, &u[11], &cospim52, &u[12], &rnding, bit);

    v[12] = half_btf_sse4_1(&cospi52, &u[11], &cospi12, &u[12], &rnding, bit);

    v[13] = half_btf_sse4_1(&cospi20, &u[10], &cospi44, &u[13], &rnding, bit);

    v[14] = half_btf_sse4_1(&cospi36, &u[9], &cospi28, &u[14], &rnding, bit);

    v[15] = half_btf_sse4_1(&cospi4, &u[8], &cospi60, &u[15], &rnding, bit);

    // stage 3

    u[0] = v[0];

    u[1] = v[1];

    u[2] = v[2];

    u[3] = v[3];

    u[4] = half_btf_sse4_1(&cospi56, &v[4], &cospim8, &v[7], &rnding, bit);

    u[5] = half_btf_sse4_1(&cospi24, &v[5], &cospim40, &v[6], &rnding, bit);

    u[6] = half_btf_sse4_1(&cospi40, &v[5], &cospi24, &v[6], &rnding, bit);

    u[7] = half_btf_sse4_1(&cospi8, &v[4], &cospi56, &v[7], &rnding, bit);

    addsub_sse4_1(v[8], v[9], &u[8], &u[9], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[11], v[10], &u[11], &u[10], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[12], v[13], &u[12], &u[13], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[15], v[14], &u[15], &u[14], &clamp_lo, &clamp_hi);

    // stage 4

    x = _mm_mullo_epi32(u[0], cospi32);

    y = _mm_mullo_epi32(u[1], cospi32);

    v[0] = _mm_add_epi32(x, y);

    v[0] = _mm_add_epi32(v[0], rnding);

    v[0] = _mm_srai_epi32(v[0], bit);

    v[1] = _mm_sub_epi32(x, y);

    v[1] = _mm_add_epi32(v[1], rnding);

    v[1] = _mm_srai_epi32(v[1], bit);

    v[2] = half_btf_sse4_1(&cospi48, &u[2], &cospim16, &u[3], &rnding, bit);

    v[3] = half_btf_sse4_1(&cospi16, &u[2], &cospi48, &u[3], &rnding, bit);

    addsub_sse4_1(u[4], u[5], &v[4], &v[5], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[7], u[6], &v[7], &v[6], &clamp_lo, &clamp_hi);

    v[8] = u[8];

    v[9] = half_btf_sse4_1(&cospim16, &u[9], &cospi48, &u[14], &rnding, bit);

    v[10] = half_btf_sse4_1(&cospim48, &u[10], &cospim16, &u[13], &rnding, bit);

    v[11] = u[11];

    v[12] = u[12];

    v[13] = half_btf_sse4_1(&cospim16, &u[10], &cospi48, &u[13], &rnding, bit);

    v[14] = half_btf_sse4_1(&cospi48, &u[9], &cospi16, &u[14], &rnding, bit);

    v[15] = u[15];

    // stage 5

    addsub_sse4_1(v[0], v[3], &u[0], &u[3], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[1], v[2], &u[1], &u[2], &clamp_lo, &clamp_hi);

    u[4] = v[4];

    x = _mm_mullo_epi32(v[5], cospi32);

    y = _mm_mullo_epi32(v[6], cospi32);

    u[5] = _mm_sub_epi32(y, x);

    u[5] = _mm_add_epi32(u[5], rnding);

    u[5] = _mm_srai_epi32(u[5], bit);

    u[6] = _mm_add_epi32(y, x);

    u[6] = _mm_add_epi32(u[6], rnding);

    u[6] = _mm_srai_epi32(u[6], bit);

    u[7] = v[7];

    addsub_sse4_1(v[8], v[11], &u[8], &u[11], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[9], v[10], &u[9], &u[10], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[15], v[12], &u[15], &u[12], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[14], v[13], &u[14], &u[13], &clamp_lo, &clamp_hi);

    // stage 6

    addsub_sse4_1(u[0], u[7], &v[0], &v[7], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[1], u[6], &v[1], &v[6], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[2], u[5], &v[2], &v[5], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[3], u[4], &v[3], &v[4], &clamp_lo, &clamp_hi);

    v[8] = u[8];

    v[9] = u[9];

    x = _mm_mullo_epi32(u[10], cospi32);

    y = _mm_mullo_epi32(u[13], cospi32);

    v[10] = _mm_sub_epi32(y, x);

    v[10] = _mm_add_epi32(v[10], rnding);

    v[10] = _mm_srai_epi32(v[10], bit);

    v[13] = _mm_add_epi32(x, y);

    v[13] = _mm_add_epi32(v[13], rnding);

    v[13] = _mm_srai_epi32(v[13], bit);

    x = _mm_mullo_epi32(u[11], cospi32);

    y = _mm_mullo_epi32(u[12], cospi32);

    v[11] = _mm_sub_epi32(y, x);

    v[11] = _mm_add_epi32(v[11], rnding);

    v[11] = _mm_srai_epi32(v[11], bit);

    v[12] = _mm_add_epi32(x, y);

    v[12] = _mm_add_epi32(v[12], rnding);

    v[12] = _mm_srai_epi32(v[12], bit);

    v[14] = u[14];

    v[15] = u[15];

    // stage 7

    addsub_sse4_1(v[0], v[15], out + 0, out + 15, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[1], v[14], out + 1, out + 14, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[2], v[13], out + 2, out + 13, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[3], v[12], out + 3, out + 12, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[4], v[11], out + 4, out + 11, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[5], v[10], out + 5, out + 10, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[6], v[9], out + 6, out + 9, &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[7], v[8], out + 7, out + 8, &clamp_lo, &clamp_hi);

    if (!do_cols) {

      const int log_range_out = AOMMAX(16, bd + 6);

      const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

      const __m128i clamp_hi_out =

          _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

      round_shift_8x8(out, out_shift);

      highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 16);

static void iadst16x16_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                              int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi18 = _mm_set1_epi32(cospi[18]);

  const __m128i cospi46 = _mm_set1_epi32(cospi[46]);

  const __m128i cospi26 = _mm_set1_epi32(cospi[26]);

  const __m128i cospi38 = _mm_set1_epi32(cospi[38]);

  const __m128i cospi34 = _mm_set1_epi32(cospi[34]);

  const __m128i cospi30 = _mm_set1_epi32(cospi[30]);

  const __m128i cospi42 = _mm_set1_epi32(cospi[42]);

  const __m128i cospi22 = _mm_set1_epi32(cospi[22]);

  const __m128i cospi50 = _mm_set1_epi32(cospi[50]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi58 = _mm_set1_epi32(cospi[58]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  const __m128i zero = _mm_setzero_si128();

  __m128i u[16], v[16], x, y;

  // Calculate the column 0, 1, 2, 3

  // stage 0

  // stage 1

  // stage 2

  v[0] = _mm_mullo_epi32(in[15], cospi2);

  x = _mm_mullo_epi32(in[0], cospi62);

  v[0] = _mm_add_epi32(v[0], x);

  v[0] = _mm_add_epi32(v[0], rnding);

  v[0] = _mm_srai_epi32(v[0], bit);

  v[1] = _mm_mullo_epi32(in[15], cospi62);

  x = _mm_mullo_epi32(in[0], cospi2);

  v[1] = _mm_sub_epi32(v[1], x);

  v[1] = _mm_add_epi32(v[1], rnding);

  v[1] = _mm_srai_epi32(v[1], bit);

  v[2] = _mm_mullo_epi32(in[13], cospi10);

  x = _mm_mullo_epi32(in[2], cospi54);

  v[2] = _mm_add_epi32(v[2], x);

  v[2] = _mm_add_epi32(v[2], rnding);

  v[2] = _mm_srai_epi32(v[2], bit);

  v[3] = _mm_mullo_epi32(in[13], cospi54);

  x = _mm_mullo_epi32(in[2], cospi10);

  v[3] = _mm_sub_epi32(v[3], x);

  v[3] = _mm_add_epi32(v[3], rnding);

  v[3] = _mm_srai_epi32(v[3], bit);

  v[4] = _mm_mullo_epi32(in[11], cospi18);

  x = _mm_mullo_epi32(in[4], cospi46);

  v[4] = _mm_add_epi32(v[4], x);

  v[4] = _mm_add_epi32(v[4], rnding);

  v[4] = _mm_srai_epi32(v[4], bit);

  v[5] = _mm_mullo_epi32(in[11], cospi46);

  x = _mm_mullo_epi32(in[4], cospi18);

  v[5] = _mm_sub_epi32(v[5], x);

  v[5] = _mm_add_epi32(v[5], rnding);

  v[5] = _mm_srai_epi32(v[5], bit);

  v[6] = _mm_mullo_epi32(in[9], cospi26);

  x = _mm_mullo_epi32(in[6], cospi38);

  v[6] = _mm_add_epi32(v[6], x);

  v[6] = _mm_add_epi32(v[6], rnding);

  v[6] = _mm_srai_epi32(v[6], bit);

  v[7] = _mm_mullo_epi32(in[9], cospi38);

  x = _mm_mullo_epi32(in[6], cospi26);

  v[7] = _mm_sub_epi32(v[7], x);

  v[7] = _mm_add_epi32(v[7], rnding);

  v[7] = _mm_srai_epi32(v[7], bit);

  v[8] = _mm_mullo_epi32(in[7], cospi34);

  x = _mm_mullo_epi32(in[8], cospi30);

  v[8] = _mm_add_epi32(v[8], x);

  v[8] = _mm_add_epi32(v[8], rnding);

  v[8] = _mm_srai_epi32(v[8], bit);

  v[9] = _mm_mullo_epi32(in[7], cospi30);

  x = _mm_mullo_epi32(in[8], cospi34);

  v[9] = _mm_sub_epi32(v[9], x);

  v[9] = _mm_add_epi32(v[9], rnding);

  v[9] = _mm_srai_epi32(v[9], bit);

  v[10] = _mm_mullo_epi32(in[5], cospi42);

  x = _mm_mullo_epi32(in[10], cospi22);

  v[10] = _mm_add_epi32(v[10], x);

  v[10] = _mm_add_epi32(v[10], rnding);

  v[10] = _mm_srai_epi32(v[10], bit);

  v[11] = _mm_mullo_epi32(in[5], cospi22);

  x = _mm_mullo_epi32(in[10], cospi42);

  v[11] = _mm_sub_epi32(v[11], x);

  v[11] = _mm_add_epi32(v[11], rnding);

  v[11] = _mm_srai_epi32(v[11], bit);

  v[12] = _mm_mullo_epi32(in[3], cospi50);

  x = _mm_mullo_epi32(in[12], cospi14);

  v[12] = _mm_add_epi32(v[12], x);

  v[12] = _mm_add_epi32(v[12], rnding);

  v[12] = _mm_srai_epi32(v[12], bit);

  v[13] = _mm_mullo_epi32(in[3], cospi14);

  x = _mm_mullo_epi32(in[12], cospi50);

  v[13] = _mm_sub_epi32(v[13], x);

  v[13] = _mm_add_epi32(v[13], rnding);

  v[13] = _mm_srai_epi32(v[13], bit);

  v[14] = _mm_mullo_epi32(in[1], cospi58);

  x = _mm_mullo_epi32(in[14], cospi6);

  v[14] = _mm_add_epi32(v[14], x);

  v[14] = _mm_add_epi32(v[14], rnding);

  v[14] = _mm_srai_epi32(v[14], bit);

  v[15] = _mm_mullo_epi32(in[1], cospi6);

  x = _mm_mullo_epi32(in[14], cospi58);

  v[15] = _mm_sub_epi32(v[15], x);

  v[15] = _mm_add_epi32(v[15], rnding);

  v[15] = _mm_srai_epi32(v[15], bit);

  // stage 3

  addsub_sse4_1(v[0], v[8], &u[0], &u[8], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[1], v[9], &u[1], &u[9], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[2], v[10], &u[2], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[3], v[11], &u[3], &u[11], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[4], v[12], &u[4], &u[12], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[5], v[13], &u[5], &u[13], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[6], v[14], &u[6], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[7], v[15], &u[7], &u[15], &clamp_lo, &clamp_hi);

  // stage 4

  v[0] = u[0];

  v[1] = u[1];

  v[2] = u[2];

  v[3] = u[3];

  v[4] = u[4];

  v[5] = u[5];

  v[6] = u[6];

  v[7] = u[7];

  v[8] = _mm_mullo_epi32(u[8], cospi8);

  x = _mm_mullo_epi32(u[9], cospi56);

  v[8] = _mm_add_epi32(v[8], x);

  v[8] = _mm_add_epi32(v[8], rnding);

  v[8] = _mm_srai_epi32(v[8], bit);

  v[9] = _mm_mullo_epi32(u[8], cospi56);

  x = _mm_mullo_epi32(u[9], cospi8);

  v[9] = _mm_sub_epi32(v[9], x);

  v[9] = _mm_add_epi32(v[9], rnding);

  v[9] = _mm_srai_epi32(v[9], bit);

  v[10] = _mm_mullo_epi32(u[10], cospi40);

  x = _mm_mullo_epi32(u[11], cospi24);

  v[10] = _mm_add_epi32(v[10], x);

  v[10] = _mm_add_epi32(v[10], rnding);

  v[10] = _mm_srai_epi32(v[10], bit);

  v[11] = _mm_mullo_epi32(u[10], cospi24);

  x = _mm_mullo_epi32(u[11], cospi40);

  v[11] = _mm_sub_epi32(v[11], x);

  v[11] = _mm_add_epi32(v[11], rnding);

  v[11] = _mm_srai_epi32(v[11], bit);

  v[12] = _mm_mullo_epi32(u[12], cospim56);

  x = _mm_mullo_epi32(u[13], cospi8);

  v[12] = _mm_add_epi32(v[12], x);

  v[12] = _mm_add_epi32(v[12], rnding);

  v[12] = _mm_srai_epi32(v[12], bit);

  v[13] = _mm_mullo_epi32(u[12], cospi8);

  x = _mm_mullo_epi32(u[13], cospim56);

  v[13] = _mm_sub_epi32(v[13], x);

  v[13] = _mm_add_epi32(v[13], rnding);

  v[13] = _mm_srai_epi32(v[13], bit);

  v[14] = _mm_mullo_epi32(u[14], cospim24);

  x = _mm_mullo_epi32(u[15], cospi40);

  v[14] = _mm_add_epi32(v[14], x);

  v[14] = _mm_add_epi32(v[14], rnding);

  v[14] = _mm_srai_epi32(v[14], bit);

  v[15] = _mm_mullo_epi32(u[14], cospi40);

  x = _mm_mullo_epi32(u[15], cospim24);

  v[15] = _mm_sub_epi32(v[15], x);

  v[15] = _mm_add_epi32(v[15], rnding);

  v[15] = _mm_srai_epi32(v[15], bit);

  // stage 5

  addsub_sse4_1(v[0], v[4], &u[0], &u[4], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[1], v[5], &u[1], &u[5], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[2], v[6], &u[2], &u[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[3], v[7], &u[3], &u[7], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[8], v[12], &u[8], &u[12], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[9], v[13], &u[9], &u[13], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[10], v[14], &u[10], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[11], v[15], &u[11], &u[15], &clamp_lo, &clamp_hi);

  // stage 6

  v[0] = u[0];

  v[1] = u[1];

  v[2] = u[2];

  v[3] = u[3];

  v[4] = _mm_mullo_epi32(u[4], cospi16);

  x = _mm_mullo_epi32(u[5], cospi48);

  v[4] = _mm_add_epi32(v[4], x);

  v[4] = _mm_add_epi32(v[4], rnding);

  v[4] = _mm_srai_epi32(v[4], bit);

  v[5] = _mm_mullo_epi32(u[4], cospi48);

  x = _mm_mullo_epi32(u[5], cospi16);

  v[5] = _mm_sub_epi32(v[5], x);

  v[5] = _mm_add_epi32(v[5], rnding);

  v[5] = _mm_srai_epi32(v[5], bit);

  v[6] = _mm_mullo_epi32(u[6], cospim48);

  x = _mm_mullo_epi32(u[7], cospi16);

  v[6] = _mm_add_epi32(v[6], x);

  v[6] = _mm_add_epi32(v[6], rnding);

  v[6] = _mm_srai_epi32(v[6], bit);

  v[7] = _mm_mullo_epi32(u[6], cospi16);

  x = _mm_mullo_epi32(u[7], cospim48);

  v[7] = _mm_sub_epi32(v[7], x);

  v[7] = _mm_add_epi32(v[7], rnding);

  v[7] = _mm_srai_epi32(v[7], bit);

  v[8] = u[8];

  v[9] = u[9];

  v[10] = u[10];

  v[11] = u[11];

  v[12] = _mm_mullo_epi32(u[12], cospi16);

  x = _mm_mullo_epi32(u[13], cospi48);

  v[12] = _mm_add_epi32(v[12], x);

  v[12] = _mm_add_epi32(v[12], rnding);

  v[12] = _mm_srai_epi32(v[12], bit);

  v[13] = _mm_mullo_epi32(u[12], cospi48);

  x = _mm_mullo_epi32(u[13], cospi16);

  v[13] = _mm_sub_epi32(v[13], x);

  v[13] = _mm_add_epi32(v[13], rnding);

  v[13] = _mm_srai_epi32(v[13], bit);

  v[14] = _mm_mullo_epi32(u[14], cospim48);

  x = _mm_mullo_epi32(u[15], cospi16);

  v[14] = _mm_add_epi32(v[14], x);

  v[14] = _mm_add_epi32(v[14], rnding);

  v[14] = _mm_srai_epi32(v[14], bit);

  v[15] = _mm_mullo_epi32(u[14], cospi16);

  x = _mm_mullo_epi32(u[15], cospim48);

  v[15] = _mm_sub_epi32(v[15], x);

  v[15] = _mm_add_epi32(v[15], rnding);

  v[15] = _mm_srai_epi32(v[15], bit);

  // stage 7

  addsub_sse4_1(v[0], v[2], &u[0], &u[2], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[1], v[3], &u[1], &u[3], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[4], v[6], &u[4], &u[6], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[5], v[7], &u[5], &u[7], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[8], v[10], &u[8], &u[10], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[9], v[11], &u[9], &u[11], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[12], v[14], &u[12], &u[14], &clamp_lo, &clamp_hi);

  addsub_sse4_1(v[13], v[15], &u[13], &u[15], &clamp_lo, &clamp_hi);

  // stage 8

  v[0] = u[0];

  v[1] = u[1];

  y = _mm_mullo_epi32(u[2], cospi32);

  x = _mm_mullo_epi32(u[3], cospi32);

  v[2] = _mm_add_epi32(y, x);

  v[2] = _mm_add_epi32(v[2], rnding);

  v[2] = _mm_srai_epi32(v[2], bit);

  v[3] = _mm_sub_epi32(y, x);

  v[3] = _mm_add_epi32(v[3], rnding);

  v[3] = _mm_srai_epi32(v[3], bit);

  v[4] = u[4];

  v[5] = u[5];

  y = _mm_mullo_epi32(u[6], cospi32);

  x = _mm_mullo_epi32(u[7], cospi32);

  v[6] = _mm_add_epi32(y, x);

  v[6] = _mm_add_epi32(v[6], rnding);

  v[6] = _mm_srai_epi32(v[6], bit);

  v[7] = _mm_sub_epi32(y, x);

  v[7] = _mm_add_epi32(v[7], rnding);

  v[7] = _mm_srai_epi32(v[7], bit);

  v[8] = u[8];

  v[9] = u[9];

  y = _mm_mullo_epi32(u[10], cospi32);

  x = _mm_mullo_epi32(u[11], cospi32);

  v[10] = _mm_add_epi32(y, x);

  v[10] = _mm_add_epi32(v[10], rnding);

  v[10] = _mm_srai_epi32(v[10], bit);

  v[11] = _mm_sub_epi32(y, x);

  v[11] = _mm_add_epi32(v[11], rnding);

  v[11] = _mm_srai_epi32(v[11], bit);

  v[12] = u[12];

  v[13] = u[13];

  y = _mm_mullo_epi32(u[14], cospi32);

  x = _mm_mullo_epi32(u[15], cospi32);

  v[14] = _mm_add_epi32(y, x);

  v[14] = _mm_add_epi32(v[14], rnding);

  v[14] = _mm_srai_epi32(v[14], bit);

  v[15] = _mm_sub_epi32(y, x);

  v[15] = _mm_add_epi32(v[15], rnding);

  v[15] = _mm_srai_epi32(v[15], bit);

  // stage 9

  if (do_cols) {

    out[0] = v[0];

    out[1] = _mm_sub_epi32(zero, v[8]);

    out[2] = v[12];

    out[3] = _mm_sub_epi32(zero, v[4]);

    out[4] = v[6];

    out[5] = _mm_sub_epi32(zero, v[14]);

    out[6] = v[10];

    out[7] = _mm_sub_epi32(zero, v[2]);

    out[8] = v[3];

    out[9] = _mm_sub_epi32(zero, v[11]);

    out[10] = v[15];

    out[11] = _mm_sub_epi32(zero, v[7]);

    out[12] = v[5];

    out[13] = _mm_sub_epi32(zero, v[13]);

    out[14] = v[9];

    out[15] = _mm_sub_epi32(zero, v[1]);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    neg_shift_sse4_1(v[0], v[8], out + 0, out + 1, &clamp_lo_out, &clamp_hi_out,

                     out_shift);

    neg_shift_sse4_1(v[12], v[4], out + 2, out + 3, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[6], v[14], out + 4, out + 5, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[10], v[2], out + 6, out + 7, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[3], v[11], out + 8, out + 9, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[15], v[7], out + 10, out + 11, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[5], v[13], out + 12, out + 13, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

    neg_shift_sse4_1(v[9], v[1], out + 14, out + 15, &clamp_lo_out,

                     &clamp_hi_out, out_shift);

static void iidentity16_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                               int bd, int out_shift) {

  (void)bit;

  __m128i fact = _mm_set1_epi32(2 * NewSqrt2);

  __m128i offset = _mm_set1_epi32(1 << (NewSqrt2Bits - 1));

  __m128i a0_low, a0_high, a1_low, a1_high;

  __m128i zero = _mm_setzero_si128();

  offset = _mm_unpacklo_epi32(offset, zero);

  for (int i = 0; i < 16; i++) {

    a0_low = _mm_mul_epi32(in[i], fact);

    a0_low = _mm_add_epi32(a0_low, offset);

    a0_low = _mm_srli_epi64(a0_low, NewSqrt2Bits);

    a0_high = _mm_srli_si128(in[i], 4);

    a0_high = _mm_mul_epi32(a0_high, fact);

    a0_high = _mm_add_epi32(a0_high, offset);

    a0_high = _mm_srli_epi64(a0_high, NewSqrt2Bits);

    a1_low = _mm_unpacklo_epi32(a0_low, a0_high);

    a1_high = _mm_unpackhi_epi32(a0_low, a0_high);

    out[i] = _mm_unpacklo_epi64(a1_low, a1_high);

  if (!do_cols) {

    const int log_range = AOMMAX(16, bd + 6);

    const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

    const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

    round_shift_8x8(out, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo, &clamp_hi, 16);

static inline void idct64_stage8_sse4_1(

    __m128i *u, const __m128i *cospim32, const __m128i *cospi32,

    const __m128i *cospim16, const __m128i *cospi48, const __m128i *cospi16,

    const __m128i *cospim48, const __m128i *clamp_lo, const __m128i *clamp_hi,

    const __m128i *rnding, int bit) {

  int i;

  __m128i temp1, temp2, temp3, temp4;

  temp1 = half_btf_sse4_1(cospim32, &u[10], cospi32, &u[13], rnding, bit);

  u[13] = half_btf_sse4_1(cospi32, &u[10], cospi32, &u[13], rnding, bit);

  u[10] = temp1;

  temp2 = half_btf_sse4_1(cospim32, &u[11], cospi32, &u[12], rnding, bit);

  u[12] = half_btf_sse4_1(cospi32, &u[11], cospi32, &u[12], rnding, bit);

  u[11] = temp2;

  for (i = 16; i < 20; ++i) {

    addsub_sse4_1(u[i], u[i ^ 7], &u[i], &u[i ^ 7], clamp_lo, clamp_hi);

    addsub_sse4_1(u[i ^ 15], u[i ^ 8], &u[i ^ 15], &u[i ^ 8], clamp_lo,

                  clamp_hi);

  temp1 = half_btf_sse4_1(cospim16, &u[36], cospi48, &u[59], rnding, bit);

  temp2 = half_btf_sse4_1(cospim16, &u[37], cospi48, &u[58], rnding, bit);

  temp3 = half_btf_sse4_1(cospim16, &u[38], cospi48, &u[57], rnding, bit);

  temp4 = half_btf_sse4_1(cospim16, &u[39], cospi48, &u[56], rnding, bit);

  u[56] = half_btf_sse4_1(cospi48, &u[39], cospi16, &u[56], rnding, bit);

  u[57] = half_btf_sse4_1(cospi48, &u[38], cospi16, &u[57], rnding, bit);

  u[58] = half_btf_sse4_1(cospi48, &u[37], cospi16, &u[58], rnding, bit);

  u[59] = half_btf_sse4_1(cospi48, &u[36], cospi16, &u[59], rnding, bit);

  u[36] = temp1;

  u[37] = temp2;

  u[38] = temp3;

  u[39] = temp4;

  temp1 = half_btf_sse4_1(cospim48, &u[40], cospim16, &u[55], rnding, bit);

  temp2 = half_btf_sse4_1(cospim48, &u[41], cospim16, &u[54], rnding, bit);

  temp3 = half_btf_sse4_1(cospim48, &u[42], cospim16, &u[53], rnding, bit);

  temp4 = half_btf_sse4_1(cospim48, &u[43], cospim16, &u[52], rnding, bit);

  u[52] = half_btf_sse4_1(cospim16, &u[43], cospi48, &u[52], rnding, bit);

  u[53] = half_btf_sse4_1(cospim16, &u[42], cospi48, &u[53], rnding, bit);

  u[54] = half_btf_sse4_1(cospim16, &u[41], cospi48, &u[54], rnding, bit);

  u[55] = half_btf_sse4_1(cospim16, &u[40], cospi48, &u[55], rnding, bit);

  u[40] = temp1;

  u[41] = temp2;

  u[42] = temp3;

  u[43] = temp4;

static inline void idct64_stage9_sse4_1(__m128i *u, const __m128i *cospim32,

                                        const __m128i *cospi32,

                                        const __m128i *clamp_lo,

                                        const __m128i *clamp_hi,

                                        const __m128i *rnding, int bit) {

  int i;

  __m128i temp1, temp2, temp3, temp4;

  for (i = 0; i < 8; ++i) {

    addsub_sse4_1(u[i], u[15 - i], &u[i], &u[15 - i], clamp_lo, clamp_hi);

  temp1 = half_btf_sse4_1(cospim32, &u[20], cospi32, &u[27], rnding, bit);

  temp2 = half_btf_sse4_1(cospim32, &u[21], cospi32, &u[26], rnding, bit);

  temp3 = half_btf_sse4_1(cospim32, &u[22], cospi32, &u[25], rnding, bit);

  temp4 = half_btf_sse4_1(cospim32, &u[23], cospi32, &u[24], rnding, bit);

  u[24] = half_btf_sse4_1(cospi32, &u[23], cospi32, &u[24], rnding, bit);

  u[25] = half_btf_sse4_1(cospi32, &u[22], cospi32, &u[25], rnding, bit);

  u[26] = half_btf_sse4_1(cospi32, &u[21], cospi32, &u[26], rnding, bit);

  u[27] = half_btf_sse4_1(cospi32, &u[20], cospi32, &u[27], rnding, bit);

  u[20] = temp1;

  u[21] = temp2;

  u[22] = temp3;

  u[23] = temp4;

  for (i = 32; i < 40; i++) {

    addsub_sse4_1(u[i], u[i ^ 15], &u[i], &u[i ^ 15], clamp_lo, clamp_hi);

  for (i = 48; i < 56; i++) {

    addsub_sse4_1(u[i ^ 15], u[i], &u[i ^ 15], &u[i], clamp_lo, clamp_hi);

static inline void idct64_stage10_sse4_1(__m128i *u, const __m128i *cospim32,

                                         const __m128i *cospi32,

                                         const __m128i *clamp_lo,

                                         const __m128i *clamp_hi,

                                         const __m128i *rnding, int bit) {

  __m128i temp1, temp2, temp3, temp4;

  for (int i = 0; i < 16; i++) {

    addsub_sse4_1(u[i], u[31 - i], &u[i], &u[31 - i], clamp_lo, clamp_hi);

  temp1 = half_btf_sse4_1(cospim32, &u[40], cospi32, &u[55], rnding, bit);

  temp2 = half_btf_sse4_1(cospim32, &u[41], cospi32, &u[54], rnding, bit);

  temp3 = half_btf_sse4_1(cospim32, &u[42], cospi32, &u[53], rnding, bit);

  temp4 = half_btf_sse4_1(cospim32, &u[43], cospi32, &u[52], rnding, bit);

  u[52] = half_btf_sse4_1(cospi32, &u[43], cospi32, &u[52], rnding, bit);

  u[53] = half_btf_sse4_1(cospi32, &u[42], cospi32, &u[53], rnding, bit);

  u[54] = half_btf_sse4_1(cospi32, &u[41], cospi32, &u[54], rnding, bit);

  u[55] = half_btf_sse4_1(cospi32, &u[40], cospi32, &u[55], rnding, bit);

  u[40] = temp1;

  u[41] = temp2;

  u[42] = temp3;

  u[43] = temp4;

  temp1 = half_btf_sse4_1(cospim32, &u[44], cospi32, &u[51], rnding, bit);

  temp2 = half_btf_sse4_1(cospim32, &u[45], cospi32, &u[50], rnding, bit);

  temp3 = half_btf_sse4_1(cospim32, &u[46], cospi32, &u[49], rnding, bit);

  temp4 = half_btf_sse4_1(cospim32, &u[47], cospi32, &u[48], rnding, bit);

  u[48] = half_btf_sse4_1(cospi32, &u[47], cospi32, &u[48], rnding, bit);

  u[49] = half_btf_sse4_1(cospi32, &u[46], cospi32, &u[49], rnding, bit);

  u[50] = half_btf_sse4_1(cospi32, &u[45], cospi32, &u[50], rnding, bit);

  u[51] = half_btf_sse4_1(cospi32, &u[44], cospi32, &u[51], rnding, bit);

  u[44] = temp1;

  u[45] = temp2;

  u[46] = temp3;

  u[47] = temp4;

static inline void idct64_stage11_sse4_1(__m128i *u, __m128i *out, int do_cols,

                                         int bd, int out_shift,

                                         const __m128i *clamp_lo,

                                         const __m128i *clamp_hi) {

  for (int i = 0; i < 32; i++) {

    addsub_sse4_1(u[i], u[63 - i], out + i, out + 63 - i, clamp_lo, clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    for (int i = 0; i < 64; i += 4) {

      round_shift_4x4(out + i, out_shift);

      highbd_clamp_epi32_sse4_1(out + i, out + i, &clamp_lo_out, &clamp_hi_out,

4);

static void idct64x64_low1_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

    __m128i x;

    // stage 1

    // stage 2

    // stage 3

    // stage 4

    // stage 5

    // stage 6

    x = half_btf_0_sse4_1(&cospi32, &in[0], &rnding, bit);

    // stage 8

    // stage 9

    // stage 10

    // stage 11

    if (!do_cols) {

      const int log_range_out = AOMMAX(16, bd + 6);

      clamp_lo = _mm_set1_epi32(-(1 << (log_range_out - 1)));

      clamp_hi = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

      if (out_shift != 0) {

        __m128i offset = _mm_set1_epi32((1 << out_shift) >> 1);

        x = _mm_add_epi32(x, offset);

        x = _mm_sra_epi32(x, _mm_cvtsi32_si128(out_shift));

    x = _mm_max_epi32(x, clamp_lo);

    x = _mm_min_epi32(x, clamp_hi);

    out[0] = x;

    out[1] = x;

    out[2] = x;

    out[3] = x;

    out[4] = x;

    out[5] = x;

    out[6] = x;

    out[7] = x;

    out[8] = x;

    out[9] = x;

    out[10] = x;

    out[11] = x;

    out[12] = x;

    out[13] = x;

    out[14] = x;

    out[15] = x;

    out[16] = x;

    out[17] = x;

    out[18] = x;

    out[19] = x;

    out[20] = x;

    out[21] = x;

    out[22] = x;

    out[23] = x;

    out[24] = x;

    out[25] = x;

    out[26] = x;

    out[27] = x;

    out[28] = x;

    out[29] = x;

    out[30] = x;

    out[31] = x;

    out[32] = x;

    out[33] = x;

    out[34] = x;

    out[35] = x;

    out[36] = x;

    out[37] = x;

    out[38] = x;

    out[39] = x;

    out[40] = x;

    out[41] = x;

    out[42] = x;

    out[43] = x;

    out[44] = x;

    out[45] = x;

    out[46] = x;

    out[47] = x;

    out[48] = x;

    out[49] = x;

    out[50] = x;

    out[51] = x;

    out[52] = x;

    out[53] = x;

    out[54] = x;

    out[55] = x;

    out[56] = x;

    out[57] = x;

    out[58] = x;

    out[59] = x;

    out[60] = x;

    out[61] = x;

    out[62] = x;

    out[63] = x;

static void idct64x64_low8_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  int i, j;

  const int32_t *cospi = cospi_arr(bit);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  const __m128i cospi1 = _mm_set1_epi32(cospi[1]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi3 = _mm_set1_epi32(cospi[3]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim12 = _mm_set1_epi32(-cospi[12]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospim28 = _mm_set1_epi32(-cospi[28]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospi63 = _mm_set1_epi32(cospi[63]);

  const __m128i cospim57 = _mm_set1_epi32(-cospi[57]);

  const __m128i cospi7 = _mm_set1_epi32(cospi[7]);

  const __m128i cospi5 = _mm_set1_epi32(cospi[5]);

  const __m128i cospi59 = _mm_set1_epi32(cospi[59]);

  const __m128i cospim61 = _mm_set1_epi32(-cospi[61]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

    __m128i u[64];

    // stage 1

    u[0] = in[0];

    u[8] = in[4];

    u[16] = in[2];

    u[24] = in[6];

    u[32] = in[1];

    u[40] = in[5];

    u[48] = in[3];

    u[56] = in[7];

    // stage 2

    u[63] = half_btf_0_sse4_1(&cospi1, &u[32], &rnding, bit);

    u[32] = half_btf_0_sse4_1(&cospi63, &u[32], &rnding, bit);

    u[39] = half_btf_0_sse4_1(&cospim57, &u[56], &rnding, bit);

    u[56] = half_btf_0_sse4_1(&cospi7, &u[56], &rnding, bit);

    u[55] = half_btf_0_sse4_1(&cospi5, &u[40], &rnding, bit);

    u[40] = half_btf_0_sse4_1(&cospi59, &u[40], &rnding, bit);

    u[47] = half_btf_0_sse4_1(&cospim61, &u[48], &rnding, bit);

    u[48] = half_btf_0_sse4_1(&cospi3, &u[48], &rnding, bit);

    // stage 3

    u[31] = half_btf_0_sse4_1(&cospi2, &u[16], &rnding, bit);

    u[16] = half_btf_0_sse4_1(&cospi62, &u[16], &rnding, bit);

    u[23] = half_btf_0_sse4_1(&cospim58, &u[24], &rnding, bit);

    u[24] = half_btf_0_sse4_1(&cospi6, &u[24], &rnding, bit);

    u[33] = u[32];

    u[38] = u[39];

    u[41] = u[40];

    u[46] = u[47];

    u[49] = u[48];

    u[54] = u[55];

    u[57] = u[56];

    u[62] = u[63];

    // stage 4

    __m128i temp1, temp2;

    u[15] = half_btf_0_sse4_1(&cospi4, &u[8], &rnding, bit);

    u[8] = half_btf_0_sse4_1(&cospi60, &u[8], &rnding, bit);

    u[17] = u[16];

    u[22] = u[23];

    u[25] = u[24];

    u[30] = u[31];

    temp1 = half_btf_sse4_1(&cospim4, &u[33], &cospi60, &u[62], &rnding, bit);

    u[62] = half_btf_sse4_1(&cospi60, &u[33], &cospi4, &u[62], &rnding, bit);

    u[33] = temp1;

    temp2 = half_btf_sse4_1(&cospim36, &u[38], &cospi28, &u[57], &rnding, bit);

    u[38] = half_btf_sse4_1(&cospim28, &u[38], &cospim36, &u[57], &rnding, bit);

    u[57] = temp2;

    temp1 = half_btf_sse4_1(&cospim20, &u[41], &cospi44, &u[54], &rnding, bit);

    u[54] = half_btf_sse4_1(&cospi44, &u[41], &cospi20, &u[54], &rnding, bit);

    u[41] = temp1;

    temp2 = half_btf_sse4_1(&cospim12, &u[46], &cospim52, &u[49], &rnding, bit);

    u[49] = half_btf_sse4_1(&cospim52, &u[46], &cospi12, &u[49], &rnding, bit);

    u[46] = temp2;

    // stage 5

    u[9] = u[8];

    u[14] = u[15];

    temp1 = half_btf_sse4_1(&cospim8, &u[17], &cospi56, &u[30], &rnding, bit);

    u[30] = half_btf_sse4_1(&cospi56, &u[17], &cospi8, &u[30], &rnding, bit);

    u[17] = temp1;

    temp2 = half_btf_sse4_1(&cospim24, &u[22], &cospim40, &u[25], &rnding, bit);

    u[25] = half_btf_sse4_1(&cospim40, &u[22], &cospi24, &u[25], &rnding, bit);

    u[22] = temp2;

    u[35] = u[32];

    u[34] = u[33];

    u[36] = u[39];

    u[37] = u[38];

    u[43] = u[40];

    u[42] = u[41];

    u[44] = u[47];

    u[45] = u[46];

    u[51] = u[48];

    u[50] = u[49];

    u[52] = u[55];

    u[53] = u[54];

    u[59] = u[56];

    u[58] = u[57];

    u[60] = u[63];

    u[61] = u[62];

    // stage 6

    temp1 = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    u[1] = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    u[0] = temp1;

    temp2 = half_btf_sse4_1(&cospim16, &u[9], &cospi48, &u[14], &rnding, bit);

    u[14] = half_btf_sse4_1(&cospi48, &u[9], &cospi16, &u[14], &rnding, bit);

    u[9] = temp2;

    u[19] = u[16];

    u[18] = u[17];

    u[20] = u[23];

    u[21] = u[22];

    u[27] = u[24];

    u[26] = u[25];

    u[28] = u[31];

    u[29] = u[30];

    temp1 = half_btf_sse4_1(&cospim8, &u[34], &cospi56, &u[61], &rnding, bit);

    u[61] = half_btf_sse4_1(&cospi56, &u[34], &cospi8, &u[61], &rnding, bit);

    u[34] = temp1;

    temp2 = half_btf_sse4_1(&cospim8, &u[35], &cospi56, &u[60], &rnding, bit);

    u[60] = half_btf_sse4_1(&cospi56, &u[35], &cospi8, &u[60], &rnding, bit);

    u[35] = temp2;

    temp1 = half_btf_sse4_1(&cospim56, &u[36], &cospim8, &u[59], &rnding, bit);

    u[59] = half_btf_sse4_1(&cospim8, &u[36], &cospi56, &u[59], &rnding, bit);

    u[36] = temp1;

    temp2 = half_btf_sse4_1(&cospim56, &u[37], &cospim8, &u[58], &rnding, bit);

    u[58] = half_btf_sse4_1(&cospim8, &u[37], &cospi56, &u[58], &rnding, bit);

    u[37] = temp2;

    temp1 = half_btf_sse4_1(&cospim40, &u[42], &cospi24, &u[53], &rnding, bit);

    u[53] = half_btf_sse4_1(&cospi24, &u[42], &cospi40, &u[53], &rnding, bit);

    u[42] = temp1;

    temp2 = half_btf_sse4_1(&cospim40, &u[43], &cospi24, &u[52], &rnding, bit);

    u[52] = half_btf_sse4_1(&cospi24, &u[43], &cospi40, &u[52], &rnding, bit);

    u[43] = temp2;

    temp1 = half_btf_sse4_1(&cospim24, &u[44], &cospim40, &u[51], &rnding, bit);

    u[51] = half_btf_sse4_1(&cospim40, &u[44], &cospi24, &u[51], &rnding, bit);

    u[44] = temp1;

    temp2 = half_btf_sse4_1(&cospim24, &u[45], &cospim40, &u[50], &rnding, bit);

    u[50] = half_btf_sse4_1(&cospim40, &u[45], &cospi24, &u[50], &rnding, bit);

    u[45] = temp2;

    // stage 7

    u[3] = u[0];

    u[2] = u[1];

    u[11] = u[8];

    u[10] = u[9];

    u[12] = u[15];

    u[13] = u[14];

    temp1 = half_btf_sse4_1(&cospim16, &u[18], &cospi48, &u[29], &rnding, bit);

    u[29] = half_btf_sse4_1(&cospi48, &u[18], &cospi16, &u[29], &rnding, bit);

    u[18] = temp1;

    temp2 = half_btf_sse4_1(&cospim16, &u[19], &cospi48, &u[28], &rnding, bit);

    u[28] = half_btf_sse4_1(&cospi48, &u[19], &cospi16, &u[28], &rnding, bit);

    u[19] = temp2;

    temp1 = half_btf_sse4_1(&cospim48, &u[20], &cospim16, &u[27], &rnding, bit);

    u[27] = half_btf_sse4_1(&cospim16, &u[20], &cospi48, &u[27], &rnding, bit);

    u[20] = temp1;

    temp2 = half_btf_sse4_1(&cospim48, &u[21], &cospim16, &u[26], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospim16, &u[21], &cospi48, &u[26], &rnding, bit);

    u[21] = temp2;

    for (i = 32; i < 64; i += 16) {

      for (j = i; j < i + 4; j++) {

        addsub_sse4_1(u[j], u[j ^ 7], &u[j], &u[j ^ 7], &clamp_lo, &clamp_hi);

        addsub_sse4_1(u[j ^ 15], u[j ^ 8], &u[j ^ 15], &u[j ^ 8], &clamp_lo,

                      &clamp_hi);

    // stage 8

    u[7] = u[0];

    u[6] = u[1];

    u[5] = u[2];

    u[4] = u[3];

    idct64_stage8_sse4_1(u, &cospim32, &cospi32, &cospim16, &cospi48, &cospi16,

                         &cospim48, &clamp_lo, &clamp_hi, &rnding, bit);

    // stage 9

    idct64_stage9_sse4_1(u, &cospim32, &cospi32, &clamp_lo, &clamp_hi, &rnding,

                         bit);

    // stage 10

    idct64_stage10_sse4_1(u, &cospim32, &cospi32, &clamp_lo, &clamp_hi, &rnding,

                          bit);

    // stage 11

    idct64_stage11_sse4_1(u, out, do_cols, bd, out_shift, &clamp_lo, &clamp_hi);

static void idct64x64_low16_sse4_1(__m128i *in, __m128i *out, int bit,

                                   int do_cols, int bd, int out_shift) {

  int i, j;

  const int32_t *cospi = cospi_arr(bit);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  const __m128i cospi1 = _mm_set1_epi32(cospi[1]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi3 = _mm_set1_epi32(cospi[3]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi5 = _mm_set1_epi32(cospi[5]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi7 = _mm_set1_epi32(cospi[7]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi9 = _mm_set1_epi32(cospi[9]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi11 = _mm_set1_epi32(cospi[11]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi13 = _mm_set1_epi32(cospi[13]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi15 = _mm_set1_epi32(cospi[15]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi51 = _mm_set1_epi32(cospi[51]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi55 = _mm_set1_epi32(cospi[55]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi59 = _mm_set1_epi32(cospi[59]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi63 = _mm_set1_epi32(cospi[63]);

  const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim12 = _mm_set1_epi32(-cospi[12]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospim28 = _mm_set1_epi32(-cospi[28]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim44 = _mm_set1_epi32(-cospi[44]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospim49 = _mm_set1_epi32(-cospi[49]);

  const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospim53 = _mm_set1_epi32(-cospi[53]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim57 = _mm_set1_epi32(-cospi[57]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospim60 = _mm_set1_epi32(-cospi[60]);

  const __m128i cospim61 = _mm_set1_epi32(-cospi[61]);

    __m128i u[64];

    __m128i tmp1, tmp2, tmp3, tmp4;

    // stage 1

    u[0] = in[0];

    u[32] = in[1];

    u[36] = in[9];

    u[40] = in[5];

    u[44] = in[13];

    u[48] = in[3];

    u[52] = in[11];

    u[56] = in[7];

    u[60] = in[15];

    u[16] = in[2];

    u[20] = in[10];

    u[24] = in[6];

    u[28] = in[14];

    u[4] = in[8];

    u[8] = in[4];

    u[12] = in[12];

    // stage 2

    u[63] = half_btf_0_sse4_1(&cospi1, &u[32], &rnding, bit);

    u[32] = half_btf_0_sse4_1(&cospi63, &u[32], &rnding, bit);

    u[35] = half_btf_0_sse4_1(&cospim49, &u[60], &rnding, bit);

    u[60] = half_btf_0_sse4_1(&cospi15, &u[60], &rnding, bit);

    u[59] = half_btf_0_sse4_1(&cospi9, &u[36], &rnding, bit);

    u[36] = half_btf_0_sse4_1(&cospi55, &u[36], &rnding, bit);

    u[39] = half_btf_0_sse4_1(&cospim57, &u[56], &rnding, bit);

    u[56] = half_btf_0_sse4_1(&cospi7, &u[56], &rnding, bit);

    u[55] = half_btf_0_sse4_1(&cospi5, &u[40], &rnding, bit);

    u[40] = half_btf_0_sse4_1(&cospi59, &u[40], &rnding, bit);

    u[43] = half_btf_0_sse4_1(&cospim53, &u[52], &rnding, bit);

    u[52] = half_btf_0_sse4_1(&cospi11, &u[52], &rnding, bit);

    u[47] = half_btf_0_sse4_1(&cospim61, &u[48], &rnding, bit);

    u[48] = half_btf_0_sse4_1(&cospi3, &u[48], &rnding, bit);

    u[51] = half_btf_0_sse4_1(&cospi13, &u[44], &rnding, bit);

    u[44] = half_btf_0_sse4_1(&cospi51, &u[44], &rnding, bit);

    // stage 3

    u[31] = half_btf_0_sse4_1(&cospi2, &u[16], &rnding, bit);

    u[16] = half_btf_0_sse4_1(&cospi62, &u[16], &rnding, bit);

    u[19] = half_btf_0_sse4_1(&cospim50, &u[28], &rnding, bit);

    u[28] = half_btf_0_sse4_1(&cospi14, &u[28], &rnding, bit);

    u[27] = half_btf_0_sse4_1(&cospi10, &u[20], &rnding, bit);

    u[20] = half_btf_0_sse4_1(&cospi54, &u[20], &rnding, bit);

    u[23] = half_btf_0_sse4_1(&cospim58, &u[24], &rnding, bit);

    u[24] = half_btf_0_sse4_1(&cospi6, &u[24], &rnding, bit);

    u[33] = u[32];

    u[34] = u[35];

    u[37] = u[36];

    u[38] = u[39];

    u[41] = u[40];

    u[42] = u[43];

    u[45] = u[44];

    u[46] = u[47];

    u[49] = u[48];

    u[50] = u[51];

    u[53] = u[52];

    u[54] = u[55];

    u[57] = u[56];

    u[58] = u[59];

    u[61] = u[60];

    u[62] = u[63];

    // stage 4

    u[15] = half_btf_0_sse4_1(&cospi4, &u[8], &rnding, bit);

    u[8] = half_btf_0_sse4_1(&cospi60, &u[8], &rnding, bit);

    u[11] = half_btf_0_sse4_1(&cospim52, &u[12], &rnding, bit);

    u[12] = half_btf_0_sse4_1(&cospi12, &u[12], &rnding, bit);

    u[17] = u[16];

    u[18] = u[19];

    u[21] = u[20];

    u[22] = u[23];

    u[25] = u[24];

    u[26] = u[27];

    u[29] = u[28];

    u[30] = u[31];

    tmp1 = half_btf_sse4_1(&cospim4, &u[33], &cospi60, &u[62], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim60, &u[34], &cospim4, &u[61], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim36, &u[37], &cospi28, &u[58], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim28, &u[38], &cospim36, &u[57], &rnding, bit);

    u[57] = half_btf_sse4_1(&cospim36, &u[38], &cospi28, &u[57], &rnding, bit);

    u[58] = half_btf_sse4_1(&cospi28, &u[37], &cospi36, &u[58], &rnding, bit);

    u[61] = half_btf_sse4_1(&cospim4, &u[34], &cospi60, &u[61], &rnding, bit);

    u[62] = half_btf_sse4_1(&cospi60, &u[33], &cospi4, &u[62], &rnding, bit);

    u[33] = tmp1;

    u[34] = tmp2;

    u[37] = tmp3;

    u[38] = tmp4;

    tmp1 = half_btf_sse4_1(&cospim20, &u[41], &cospi44, &u[54], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim44, &u[42], &cospim20, &u[53], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim52, &u[45], &cospi12, &u[50], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim12, &u[46], &cospim52, &u[49], &rnding, bit);

    u[49] = half_btf_sse4_1(&cospim52, &u[46], &cospi12, &u[49], &rnding, bit);

    u[50] = half_btf_sse4_1(&cospi12, &u[45], &cospi52, &u[50], &rnding, bit);

    u[53] = half_btf_sse4_1(&cospim20, &u[42], &cospi44, &u[53], &rnding, bit);

    u[54] = half_btf_sse4_1(&cospi44, &u[41], &cospi20, &u[54], &rnding, bit);

    u[41] = tmp1;

    u[42] = tmp2;

    u[45] = tmp3;

    u[46] = tmp4;

    // stage 5

    u[7] = half_btf_0_sse4_1(&cospi8, &u[4], &rnding, bit);

    u[4] = half_btf_0_sse4_1(&cospi56, &u[4], &rnding, bit);

    u[9] = u[8];

    u[10] = u[11];

    u[13] = u[12];

    u[14] = u[15];

    tmp1 = half_btf_sse4_1(&cospim8, &u[17], &cospi56, &u[30], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim56, &u[18], &cospim8, &u[29], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim40, &u[21], &cospi24, &u[26], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim24, &u[22], &cospim40, &u[25], &rnding, bit);

    u[25] = half_btf_sse4_1(&cospim40, &u[22], &cospi24, &u[25], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospi24, &u[21], &cospi40, &u[26], &rnding, bit);

    u[29] = half_btf_sse4_1(&cospim8, &u[18], &cospi56, &u[29], &rnding, bit);

    u[30] = half_btf_sse4_1(&cospi56, &u[17], &cospi8, &u[30], &rnding, bit);

    u[17] = tmp1;

    u[18] = tmp2;

    u[21] = tmp3;

    u[22] = tmp4;

    for (i = 32; i < 64; i += 8) {

      addsub_sse4_1(u[i + 0], u[i + 3], &u[i + 0], &u[i + 3], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 1], u[i + 2], &u[i + 1], &u[i + 2], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 7], u[i + 4], &u[i + 7], &u[i + 4], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 6], u[i + 5], &u[i + 6], &u[i + 5], &clamp_lo,

                    &clamp_hi);

    // stage 6

    tmp1 = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    u[1] = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    u[0] = tmp1;

    u[5] = u[4];

    u[6] = u[7];

    tmp1 = half_btf_sse4_1(&cospim16, &u[9], &cospi48, &u[14], &rnding, bit);

    u[14] = half_btf_sse4_1(&cospi48, &u[9], &cospi16, &u[14], &rnding, bit);

    u[9] = tmp1;

    tmp2 = half_btf_sse4_1(&cospim48, &u[10], &cospim16, &u[13], &rnding, bit);

    u[13] = half_btf_sse4_1(&cospim16, &u[10], &cospi48, &u[13], &rnding, bit);

    u[10] = tmp2;

    for (i = 16; i < 32; i += 8) {

      addsub_sse4_1(u[i + 0], u[i + 3], &u[i + 0], &u[i + 3], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 1], u[i + 2], &u[i + 1], &u[i + 2], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 7], u[i + 4], &u[i + 7], &u[i + 4], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 6], u[i + 5], &u[i + 6], &u[i + 5], &clamp_lo,

                    &clamp_hi);

    tmp1 = half_btf_sse4_1(&cospim8, &u[34], &cospi56, &u[61], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim8, &u[35], &cospi56, &u[60], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim56, &u[36], &cospim8, &u[59], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim56, &u[37], &cospim8, &u[58], &rnding, bit);

    u[58] = half_btf_sse4_1(&cospim8, &u[37], &cospi56, &u[58], &rnding, bit);

    u[59] = half_btf_sse4_1(&cospim8, &u[36], &cospi56, &u[59], &rnding, bit);

    u[60] = half_btf_sse4_1(&cospi56, &u[35], &cospi8, &u[60], &rnding, bit);

    u[61] = half_btf_sse4_1(&cospi56, &u[34], &cospi8, &u[61], &rnding, bit);

    u[34] = tmp1;

    u[35] = tmp2;

    u[36] = tmp3;

    u[37] = tmp4;

    tmp1 = half_btf_sse4_1(&cospim40, &u[42], &cospi24, &u[53], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim40, &u[43], &cospi24, &u[52], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim24, &u[44], &cospim40, &u[51], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim24, &u[45], &cospim40, &u[50], &rnding, bit);

    u[50] = half_btf_sse4_1(&cospim40, &u[45], &cospi24, &u[50], &rnding, bit);

    u[51] = half_btf_sse4_1(&cospim40, &u[44], &cospi24, &u[51], &rnding, bit);

    u[52] = half_btf_sse4_1(&cospi24, &u[43], &cospi40, &u[52], &rnding, bit);

    u[53] = half_btf_sse4_1(&cospi24, &u[42], &cospi40, &u[53], &rnding, bit);

    u[42] = tmp1;

    u[43] = tmp2;

    u[44] = tmp3;

    u[45] = tmp4;

    // stage 7

    u[3] = u[0];

    u[2] = u[1];

    tmp1 = half_btf_sse4_1(&cospim32, &u[5], &cospi32, &u[6], &rnding, bit);

    u[6] = half_btf_sse4_1(&cospi32, &u[5], &cospi32, &u[6], &rnding, bit);

    u[5] = tmp1;

    addsub_sse4_1(u[8], u[11], &u[8], &u[11], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[9], u[10], &u[9], &u[10], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[15], u[12], &u[15], &u[12], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[14], u[13], &u[14], &u[13], &clamp_lo, &clamp_hi);

    tmp1 = half_btf_sse4_1(&cospim16, &u[18], &cospi48, &u[29], &rnding, bit);

    tmp2 = half_btf_sse4_1(&cospim16, &u[19], &cospi48, &u[28], &rnding, bit);

    tmp3 = half_btf_sse4_1(&cospim48, &u[20], &cospim16, &u[27], &rnding, bit);

    tmp4 = half_btf_sse4_1(&cospim48, &u[21], &cospim16, &u[26], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospim16, &u[21], &cospi48, &u[26], &rnding, bit);

    u[27] = half_btf_sse4_1(&cospim16, &u[20], &cospi48, &u[27], &rnding, bit);

    u[28] = half_btf_sse4_1(&cospi48, &u[19], &cospi16, &u[28], &rnding, bit);

    u[29] = half_btf_sse4_1(&cospi48, &u[18], &cospi16, &u[29], &rnding, bit);

    u[18] = tmp1;

    u[19] = tmp2;

    u[20] = tmp3;

    u[21] = tmp4;

    for (i = 32; i < 64; i += 16) {

      for (j = i; j < i + 4; j++) {

        addsub_sse4_1(u[j], u[j ^ 7], &u[j], &u[j ^ 7], &clamp_lo, &clamp_hi);

        addsub_sse4_1(u[j ^ 15], u[j ^ 8], &u[j ^ 15], &u[j ^ 8], &clamp_lo,

                      &clamp_hi);

    // stage 8

    for (i = 0; i < 4; ++i) {

      addsub_sse4_1(u[i], u[7 - i], &u[i], &u[7 - i], &clamp_lo, &clamp_hi);

    idct64_stage8_sse4_1(u, &cospim32, &cospi32, &cospim16, &cospi48, &cospi16,

                         &cospim48, &clamp_lo, &clamp_hi, &rnding, bit);

    // stage 9

    idct64_stage9_sse4_1(u, &cospim32, &cospi32, &clamp_lo, &clamp_hi, &rnding,

                         bit);

    // stage 10

    idct64_stage10_sse4_1(u, &cospim32, &cospi32, &clamp_lo, &clamp_hi, &rnding,

                          bit);

    // stage 11

    idct64_stage11_sse4_1(u, out, do_cols, bd, out_shift, &clamp_lo, &clamp_hi);

static void idct64x64_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                             int bd, int out_shift) {

  int i, j;

  const int32_t *cospi = cospi_arr(bit);

  const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  const __m128i cospi1 = _mm_set1_epi32(cospi[1]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospi3 = _mm_set1_epi32(cospi[3]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospi5 = _mm_set1_epi32(cospi[5]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi7 = _mm_set1_epi32(cospi[7]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospi9 = _mm_set1_epi32(cospi[9]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi11 = _mm_set1_epi32(cospi[11]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi13 = _mm_set1_epi32(cospi[13]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi15 = _mm_set1_epi32(cospi[15]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospi17 = _mm_set1_epi32(cospi[17]);

  const __m128i cospi18 = _mm_set1_epi32(cospi[18]);

  const __m128i cospi19 = _mm_set1_epi32(cospi[19]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi21 = _mm_set1_epi32(cospi[21]);

  const __m128i cospi22 = _mm_set1_epi32(cospi[22]);

  const __m128i cospi23 = _mm_set1_epi32(cospi[23]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi25 = _mm_set1_epi32(cospi[25]);

  const __m128i cospi26 = _mm_set1_epi32(cospi[26]);

  const __m128i cospi27 = _mm_set1_epi32(cospi[27]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi29 = _mm_set1_epi32(cospi[29]);

  const __m128i cospi30 = _mm_set1_epi32(cospi[30]);

  const __m128i cospi31 = _mm_set1_epi32(cospi[31]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospi35 = _mm_set1_epi32(cospi[35]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi38 = _mm_set1_epi32(cospi[38]);

  const __m128i cospi39 = _mm_set1_epi32(cospi[39]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi43 = _mm_set1_epi32(cospi[43]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi46 = _mm_set1_epi32(cospi[46]);

  const __m128i cospi47 = _mm_set1_epi32(cospi[47]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospi51 = _mm_set1_epi32(cospi[51]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi55 = _mm_set1_epi32(cospi[55]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi59 = _mm_set1_epi32(cospi[59]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi63 = _mm_set1_epi32(cospi[63]);

  const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim12 = _mm_set1_epi32(-cospi[12]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospim28 = _mm_set1_epi32(-cospi[28]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospim33 = _mm_set1_epi32(-cospi[33]);

  const __m128i cospim34 = _mm_set1_epi32(-cospi[34]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospim37 = _mm_set1_epi32(-cospi[37]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim41 = _mm_set1_epi32(-cospi[41]);

  const __m128i cospim42 = _mm_set1_epi32(-cospi[42]);

  const __m128i cospim44 = _mm_set1_epi32(-cospi[44]);

  const __m128i cospim45 = _mm_set1_epi32(-cospi[45]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospim49 = _mm_set1_epi32(-cospi[49]);

  const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospim53 = _mm_set1_epi32(-cospi[53]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim57 = _mm_set1_epi32(-cospi[57]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospim60 = _mm_set1_epi32(-cospi[60]);

  const __m128i cospim61 = _mm_set1_epi32(-cospi[61]);

    __m128i u[64], v[64];

    // stage 1

    u[32] = in[1];

    u[34] = in[17];

    u[36] = in[9];

    u[38] = in[25];

    u[40] = in[5];

    u[42] = in[21];

    u[44] = in[13];

    u[46] = in[29];

    u[48] = in[3];

    u[50] = in[19];

    u[52] = in[11];

    u[54] = in[27];

    u[56] = in[7];

    u[58] = in[23];

    u[60] = in[15];

    u[62] = in[31];

    v[16] = in[2];

    v[18] = in[18];

    v[20] = in[10];

    v[22] = in[26];

    v[24] = in[6];

    v[26] = in[22];

    v[28] = in[14];

    v[30] = in[30];

    u[8] = in[4];

    u[10] = in[20];

    u[12] = in[12];

    u[14] = in[28];

    v[4] = in[8];

    v[6] = in[24];

    u[0] = in[0];

    u[2] = in[16];

    // stage 2

    v[32] = half_btf_0_sse4_1(&cospi63, &u[32], &rnding, bit);

    v[33] = half_btf_0_sse4_1(&cospim33, &u[62], &rnding, bit);

    v[34] = half_btf_0_sse4_1(&cospi47, &u[34], &rnding, bit);

    v[35] = half_btf_0_sse4_1(&cospim49, &u[60], &rnding, bit);

    v[36] = half_btf_0_sse4_1(&cospi55, &u[36], &rnding, bit);

    v[37] = half_btf_0_sse4_1(&cospim41, &u[58], &rnding, bit);

    v[38] = half_btf_0_sse4_1(&cospi39, &u[38], &rnding, bit);

    v[39] = half_btf_0_sse4_1(&cospim57, &u[56], &rnding, bit);

    v[40] = half_btf_0_sse4_1(&cospi59, &u[40], &rnding, bit);

    v[41] = half_btf_0_sse4_1(&cospim37, &u[54], &rnding, bit);

    v[42] = half_btf_0_sse4_1(&cospi43, &u[42], &rnding, bit);

    v[43] = half_btf_0_sse4_1(&cospim53, &u[52], &rnding, bit);

    v[44] = half_btf_0_sse4_1(&cospi51, &u[44], &rnding, bit);

    v[45] = half_btf_0_sse4_1(&cospim45, &u[50], &rnding, bit);

    v[46] = half_btf_0_sse4_1(&cospi35, &u[46], &rnding, bit);

    v[47] = half_btf_0_sse4_1(&cospim61, &u[48], &rnding, bit);

    v[48] = half_btf_0_sse4_1(&cospi3, &u[48], &rnding, bit);

    v[49] = half_btf_0_sse4_1(&cospi29, &u[46], &rnding, bit);

    v[50] = half_btf_0_sse4_1(&cospi19, &u[50], &rnding, bit);

    v[51] = half_btf_0_sse4_1(&cospi13, &u[44], &rnding, bit);

    v[52] = half_btf_0_sse4_1(&cospi11, &u[52], &rnding, bit);

    v[53] = half_btf_0_sse4_1(&cospi21, &u[42], &rnding, bit);

    v[54] = half_btf_0_sse4_1(&cospi27, &u[54], &rnding, bit);

    v[55] = half_btf_0_sse4_1(&cospi5, &u[40], &rnding, bit);

    v[56] = half_btf_0_sse4_1(&cospi7, &u[56], &rnding, bit);

    v[57] = half_btf_0_sse4_1(&cospi25, &u[38], &rnding, bit);

    v[58] = half_btf_0_sse4_1(&cospi23, &u[58], &rnding, bit);

    v[59] = half_btf_0_sse4_1(&cospi9, &u[36], &rnding, bit);

    v[60] = half_btf_0_sse4_1(&cospi15, &u[60], &rnding, bit);

    v[61] = half_btf_0_sse4_1(&cospi17, &u[34], &rnding, bit);

    v[62] = half_btf_0_sse4_1(&cospi31, &u[62], &rnding, bit);

    v[63] = half_btf_0_sse4_1(&cospi1, &u[32], &rnding, bit);

    // stage 3

    u[16] = half_btf_0_sse4_1(&cospi62, &v[16], &rnding, bit);

    u[17] = half_btf_0_sse4_1(&cospim34, &v[30], &rnding, bit);

    u[18] = half_btf_0_sse4_1(&cospi46, &v[18], &rnding, bit);

    u[19] = half_btf_0_sse4_1(&cospim50, &v[28], &rnding, bit);

    u[20] = half_btf_0_sse4_1(&cospi54, &v[20], &rnding, bit);

    u[21] = half_btf_0_sse4_1(&cospim42, &v[26], &rnding, bit);

    u[22] = half_btf_0_sse4_1(&cospi38, &v[22], &rnding, bit);

    u[23] = half_btf_0_sse4_1(&cospim58, &v[24], &rnding, bit);

    u[24] = half_btf_0_sse4_1(&cospi6, &v[24], &rnding, bit);

    u[25] = half_btf_0_sse4_1(&cospi26, &v[22], &rnding, bit);

    u[26] = half_btf_0_sse4_1(&cospi22, &v[26], &rnding, bit);

    u[27] = half_btf_0_sse4_1(&cospi10, &v[20], &rnding, bit);

    u[28] = half_btf_0_sse4_1(&cospi14, &v[28], &rnding, bit);

    u[29] = half_btf_0_sse4_1(&cospi18, &v[18], &rnding, bit);

    u[30] = half_btf_0_sse4_1(&cospi30, &v[30], &rnding, bit);

    u[31] = half_btf_0_sse4_1(&cospi2, &v[16], &rnding, bit);

    for (i = 32; i < 64; i += 4) {

      addsub_sse4_1(v[i + 0], v[i + 1], &u[i + 0], &u[i + 1], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(v[i + 3], v[i + 2], &u[i + 3], &u[i + 2], &clamp_lo,

                    &clamp_hi);

    // stage 4

    v[8] = half_btf_0_sse4_1(&cospi60, &u[8], &rnding, bit);

    v[9] = half_btf_0_sse4_1(&cospim36, &u[14], &rnding, bit);

    v[10] = half_btf_0_sse4_1(&cospi44, &u[10], &rnding, bit);

    v[11] = half_btf_0_sse4_1(&cospim52, &u[12], &rnding, bit);

    v[12] = half_btf_0_sse4_1(&cospi12, &u[12], &rnding, bit);

    v[13] = half_btf_0_sse4_1(&cospi20, &u[10], &rnding, bit);

    v[14] = half_btf_0_sse4_1(&cospi28, &u[14], &rnding, bit);

    v[15] = half_btf_0_sse4_1(&cospi4, &u[8], &rnding, bit);

    for (i = 16; i < 32; i += 4) {

      addsub_sse4_1(u[i + 0], u[i + 1], &v[i + 0], &v[i + 1], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 3], u[i + 2], &v[i + 3], &v[i + 2], &clamp_lo,

                    &clamp_hi);

    for (i = 32; i < 64; i += 4) {

      v[i + 0] = u[i + 0];

      v[i + 3] = u[i + 3];

    v[33] = half_btf_sse4_1(&cospim4, &u[33], &cospi60, &u[62], &rnding, bit);

    v[34] = half_btf_sse4_1(&cospim60, &u[34], &cospim4, &u[61], &rnding, bit);

    v[37] = half_btf_sse4_1(&cospim36, &u[37], &cospi28, &u[58], &rnding, bit);

    v[38] = half_btf_sse4_1(&cospim28, &u[38], &cospim36, &u[57], &rnding, bit);

    v[41] = half_btf_sse4_1(&cospim20, &u[41], &cospi44, &u[54], &rnding, bit);

    v[42] = half_btf_sse4_1(&cospim44, &u[42], &cospim20, &u[53], &rnding, bit);

    v[45] = half_btf_sse4_1(&cospim52, &u[45], &cospi12, &u[50], &rnding, bit);

    v[46] = half_btf_sse4_1(&cospim12, &u[46], &cospim52, &u[49], &rnding, bit);

    v[49] = half_btf_sse4_1(&cospim52, &u[46], &cospi12, &u[49], &rnding, bit);

    v[50] = half_btf_sse4_1(&cospi12, &u[45], &cospi52, &u[50], &rnding, bit);

    v[53] = half_btf_sse4_1(&cospim20, &u[42], &cospi44, &u[53], &rnding, bit);

    v[54] = half_btf_sse4_1(&cospi44, &u[41], &cospi20, &u[54], &rnding, bit);

    v[57] = half_btf_sse4_1(&cospim36, &u[38], &cospi28, &u[57], &rnding, bit);

    v[58] = half_btf_sse4_1(&cospi28, &u[37], &cospi36, &u[58], &rnding, bit);

    v[61] = half_btf_sse4_1(&cospim4, &u[34], &cospi60, &u[61], &rnding, bit);

    v[62] = half_btf_sse4_1(&cospi60, &u[33], &cospi4, &u[62], &rnding, bit);

    // stage 5

    u[4] = half_btf_0_sse4_1(&cospi56, &v[4], &rnding, bit);

    u[5] = half_btf_0_sse4_1(&cospim40, &v[6], &rnding, bit);

    u[6] = half_btf_0_sse4_1(&cospi24, &v[6], &rnding, bit);

    u[7] = half_btf_0_sse4_1(&cospi8, &v[4], &rnding, bit);

    for (i = 8; i < 16; i += 4) {

      addsub_sse4_1(v[i + 0], v[i + 1], &u[i + 0], &u[i + 1], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(v[i + 3], v[i + 2], &u[i + 3], &u[i + 2], &clamp_lo,

                    &clamp_hi);

    for (i = 16; i < 32; i += 4) {

      u[i + 0] = v[i + 0];

      u[i + 3] = v[i + 3];

    u[17] = half_btf_sse4_1(&cospim8, &v[17], &cospi56, &v[30], &rnding, bit);

    u[18] = half_btf_sse4_1(&cospim56, &v[18], &cospim8, &v[29], &rnding, bit);

    u[21] = half_btf_sse4_1(&cospim40, &v[21], &cospi24, &v[26], &rnding, bit);

    u[22] = half_btf_sse4_1(&cospim24, &v[22], &cospim40, &v[25], &rnding, bit);

    u[25] = half_btf_sse4_1(&cospim40, &v[22], &cospi24, &v[25], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospi24, &v[21], &cospi40, &v[26], &rnding, bit);

    u[29] = half_btf_sse4_1(&cospim8, &v[18], &cospi56, &v[29], &rnding, bit);

    u[30] = half_btf_sse4_1(&cospi56, &v[17], &cospi8, &v[30], &rnding, bit);

    for (i = 32; i < 64; i += 8) {

      addsub_sse4_1(v[i + 0], v[i + 3], &u[i + 0], &u[i + 3], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(v[i + 1], v[i + 2], &u[i + 1], &u[i + 2], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(v[i + 7], v[i + 4], &u[i + 7], &u[i + 4], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(v[i + 6], v[i + 5], &u[i + 6], &u[i + 5], &clamp_lo,

                    &clamp_hi);

    // stage 6

    v[0] = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    v[1] = half_btf_0_sse4_1(&cospi32, &u[0], &rnding, bit);

    v[2] = half_btf_0_sse4_1(&cospi48, &u[2], &rnding, bit);

    v[3] = half_btf_0_sse4_1(&cospi16, &u[2], &rnding, bit);

    addsub_sse4_1(u[4], u[5], &v[4], &v[5], &clamp_lo, &clamp_hi);

    addsub_sse4_1(u[7], u[6], &v[7], &v[6], &clamp_lo, &clamp_hi);

    for (i = 8; i < 16; i += 4) {

      v[i + 0] = u[i + 0];

      v[i + 3] = u[i + 3];

    v[9] = half_btf_sse4_1(&cospim16, &u[9], &cospi48, &u[14], &rnding, bit);

    v[10] = half_btf_sse4_1(&cospim48, &u[10], &cospim16, &u[13], &rnding, bit);

    v[13] = half_btf_sse4_1(&cospim16, &u[10], &cospi48, &u[13], &rnding, bit);

    v[14] = half_btf_sse4_1(&cospi48, &u[9], &cospi16, &u[14], &rnding, bit);

    for (i = 16; i < 32; i += 8) {

      addsub_sse4_1(u[i + 0], u[i + 3], &v[i + 0], &v[i + 3], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 1], u[i + 2], &v[i + 1], &v[i + 2], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 7], u[i + 4], &v[i + 7], &v[i + 4], &clamp_lo,

                    &clamp_hi);

      addsub_sse4_1(u[i + 6], u[i + 5], &v[i + 6], &v[i + 5], &clamp_lo,

                    &clamp_hi);

    for (i = 32; i < 64; i += 8) {

      v[i + 0] = u[i + 0];

      v[i + 1] = u[i + 1];

      v[i + 6] = u[i + 6];

      v[i + 7] = u[i + 7];

    v[34] = half_btf_sse4_1(&cospim8, &u[34], &cospi56, &u[61], &rnding, bit);

    v[35] = half_btf_sse4_1(&cospim8, &u[35], &cospi56, &u[60], &rnding, bit);

    v[36] = half_btf_sse4_1(&cospim56, &u[36], &cospim8, &u[59], &rnding, bit);

    v[37] = half_btf_sse4_1(&cospim56, &u[37], &cospim8, &u[58], &rnding, bit);

    v[42] = half_btf_sse4_1(&cospim40, &u[42], &cospi24, &u[53], &rnding, bit);

    v[43] = half_btf_sse4_1(&cospim40, &u[43], &cospi24, &u[52], &rnding, bit);

    v[44] = half_btf_sse4_1(&cospim24, &u[44], &cospim40, &u[51], &rnding, bit);

    v[45] = half_btf_sse4_1(&cospim24, &u[45], &cospim40, &u[50], &rnding, bit);

    v[50] = half_btf_sse4_1(&cospim40, &u[45], &cospi24, &u[50], &rnding, bit);

    v[51] = half_btf_sse4_1(&cospim40, &u[44], &cospi24, &u[51], &rnding, bit);

    v[52] = half_btf_sse4_1(&cospi24, &u[43], &cospi40, &u[52], &rnding, bit);

    v[53] = half_btf_sse4_1(&cospi24, &u[42], &cospi40, &u[53], &rnding, bit);

    v[58] = half_btf_sse4_1(&cospim8, &u[37], &cospi56, &u[58], &rnding, bit);

    v[59] = half_btf_sse4_1(&cospim8, &u[36], &cospi56, &u[59], &rnding, bit);

    v[60] = half_btf_sse4_1(&cospi56, &u[35], &cospi8, &u[60], &rnding, bit);

    v[61] = half_btf_sse4_1(&cospi56, &u[34], &cospi8, &u[61], &rnding, bit);

    // stage 7

    addsub_sse4_1(v[0], v[3], &u[0], &u[3], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[1], v[2], &u[1], &u[2], &clamp_lo, &clamp_hi);

    u[4] = v[4];

    u[7] = v[7];

    u[5] = half_btf_sse4_1(&cospim32, &v[5], &cospi32, &v[6], &rnding, bit);

    u[6] = half_btf_sse4_1(&cospi32, &v[5], &cospi32, &v[6], &rnding, bit);

    addsub_sse4_1(v[8], v[11], &u[8], &u[11], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[9], v[10], &u[9], &u[10], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[15], v[12], &u[15], &u[12], &clamp_lo, &clamp_hi);

    addsub_sse4_1(v[14], v[13], &u[14], &u[13], &clamp_lo, &clamp_hi);

    for (i = 16; i < 32; i += 8) {

      u[i + 0] = v[i + 0];

      u[i + 1] = v[i + 1];

      u[i + 6] = v[i + 6];

      u[i + 7] = v[i + 7];

    u[18] = half_btf_sse4_1(&cospim16, &v[18], &cospi48, &v[29], &rnding, bit);

    u[19] = half_btf_sse4_1(&cospim16, &v[19], &cospi48, &v[28], &rnding, bit);

    u[20] = half_btf_sse4_1(&cospim48, &v[20], &cospim16, &v[27], &rnding, bit);

    u[21] = half_btf_sse4_1(&cospim48, &v[21], &cospim16, &v[26], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospim16, &v[21], &cospi48, &v[26], &rnding, bit);

    u[27] = half_btf_sse4_1(&cospim16, &v[20], &cospi48, &v[27], &rnding, bit);

    u[28] = half_btf_sse4_1(&cospi48, &v[19], &cospi16, &v[28], &rnding, bit);

    u[29] = half_btf_sse4_1(&cospi48, &v[18], &cospi16, &v[29], &rnding, bit);

    for (i = 32; i < 64; i += 16) {

      for (j = i; j < i + 4; j++) {

        addsub_sse4_1(v[j], v[j ^ 7], &u[j], &u[j ^ 7], &clamp_lo, &clamp_hi);

        addsub_sse4_1(v[j ^ 15], v[j ^ 8], &u[j ^ 15], &u[j ^ 8], &clamp_lo,

                      &clamp_hi);

    // stage 8

    for (i = 0; i < 4; ++i) {

      addsub_sse4_1(u[i], u[7 - i], &v[i], &v[7 - i], &clamp_lo, &clamp_hi);

    v[8] = u[8];

    v[9] = u[9];

    v[14] = u[14];

    v[15] = u[15];

    v[10] = half_btf_sse4_1(&cospim32, &u[10], &cospi32, &u[13], &rnding, bit);

    v[11] = half_btf_sse4_1(&cospim32, &u[11], &cospi32, &u[12], &rnding, bit);

    v[12] = half_btf_sse4_1(&cospi32, &u[11], &cospi32, &u[12], &rnding, bit);

    v[13] = half_btf_sse4_1(&cospi32, &u[10], &cospi32, &u[13], &rnding, bit);

    for (i = 16; i < 20; ++i) {

      addsub_sse4_1(u[i], u[i ^ 7], &v[i], &v[i ^ 7], &clamp_lo, &clamp_hi);

      addsub_sse4_1(u[i ^ 15], u[i ^ 8], &v[i ^ 15], &v[i ^ 8], &clamp_lo,

                    &clamp_hi);

    for (i = 32; i < 36; ++i) {

      v[i] = u[i];

      v[i + 12] = u[i + 12];

      v[i + 16] = u[i + 16];

      v[i + 28] = u[i + 28];

    v[36] = half_btf_sse4_1(&cospim16, &u[36], &cospi48, &u[59], &rnding, bit);

    v[37] = half_btf_sse4_1(&cospim16, &u[37], &cospi48, &u[58], &rnding, bit);

    v[38] = half_btf_sse4_1(&cospim16, &u[38], &cospi48, &u[57], &rnding, bit);

    v[39] = half_btf_sse4_1(&cospim16, &u[39], &cospi48, &u[56], &rnding, bit);

    v[40] = half_btf_sse4_1(&cospim48, &u[40], &cospim16, &u[55], &rnding, bit);

    v[41] = half_btf_sse4_1(&cospim48, &u[41], &cospim16, &u[54], &rnding, bit);

    v[42] = half_btf_sse4_1(&cospim48, &u[42], &cospim16, &u[53], &rnding, bit);

    v[43] = half_btf_sse4_1(&cospim48, &u[43], &cospim16, &u[52], &rnding, bit);

    v[52] = half_btf_sse4_1(&cospim16, &u[43], &cospi48, &u[52], &rnding, bit);

    v[53] = half_btf_sse4_1(&cospim16, &u[42], &cospi48, &u[53], &rnding, bit);

    v[54] = half_btf_sse4_1(&cospim16, &u[41], &cospi48, &u[54], &rnding, bit);

    v[55] = half_btf_sse4_1(&cospim16, &u[40], &cospi48, &u[55], &rnding, bit);

    v[56] = half_btf_sse4_1(&cospi48, &u[39], &cospi16, &u[56], &rnding, bit);

    v[57] = half_btf_sse4_1(&cospi48, &u[38], &cospi16, &u[57], &rnding, bit);

    v[58] = half_btf_sse4_1(&cospi48, &u[37], &cospi16, &u[58], &rnding, bit);

    v[59] = half_btf_sse4_1(&cospi48, &u[36], &cospi16, &u[59], &rnding, bit);

    // stage 9

    for (i = 0; i < 8; ++i) {

      addsub_sse4_1(v[i], v[15 - i], &u[i], &u[15 - i], &clamp_lo, &clamp_hi);

    for (i = 16; i < 20; ++i) {

      u[i] = v[i];

      u[i + 12] = v[i + 12];

    u[20] = half_btf_sse4_1(&cospim32, &v[20], &cospi32, &v[27], &rnding, bit);

    u[21] = half_btf_sse4_1(&cospim32, &v[21], &cospi32, &v[26], &rnding, bit);

    u[22] = half_btf_sse4_1(&cospim32, &v[22], &cospi32, &v[25], &rnding, bit);

    u[23] = half_btf_sse4_1(&cospim32, &v[23], &cospi32, &v[24], &rnding, bit);

    u[24] = half_btf_sse4_1(&cospi32, &v[23], &cospi32, &v[24], &rnding, bit);

    u[25] = half_btf_sse4_1(&cospi32, &v[22], &cospi32, &v[25], &rnding, bit);

    u[26] = half_btf_sse4_1(&cospi32, &v[21], &cospi32, &v[26], &rnding, bit);

    u[27] = half_btf_sse4_1(&cospi32, &v[20], &cospi32, &v[27], &rnding, bit);

    for (i = 32; i < 40; i++) {

      addsub_sse4_1(v[i], v[i ^ 15], &u[i], &u[i ^ 15], &clamp_lo, &clamp_hi);

    for (i = 48; i < 56; i++) {

      addsub_sse4_1(v[i ^ 15], v[i], &u[i ^ 15], &u[i], &clamp_lo, &clamp_hi);

    // stage 10

    for (i = 0; i < 16; i++) {

      addsub_sse4_1(u[i], u[31 - i], &v[i], &v[31 - i], &clamp_lo, &clamp_hi);

    for (i = 32; i < 40; i++) v[i] = u[i];

    v[40] = half_btf_sse4_1(&cospim32, &u[40], &cospi32, &u[55], &rnding, bit);

    v[41] = half_btf_sse4_1(&cospim32, &u[41], &cospi32, &u[54], &rnding, bit);

    v[42] = half_btf_sse4_1(&cospim32, &u[42], &cospi32, &u[53], &rnding, bit);

    v[43] = half_btf_sse4_1(&cospim32, &u[43], &cospi32, &u[52], &rnding, bit);

    v[44] = half_btf_sse4_1(&cospim32, &u[44], &cospi32, &u[51], &rnding, bit);

    v[45] = half_btf_sse4_1(&cospim32, &u[45], &cospi32, &u[50], &rnding, bit);

    v[46] = half_btf_sse4_1(&cospim32, &u[46], &cospi32, &u[49], &rnding, bit);

    v[47] = half_btf_sse4_1(&cospim32, &u[47], &cospi32, &u[48], &rnding, bit);

    v[48] = half_btf_sse4_1(&cospi32, &u[47], &cospi32, &u[48], &rnding, bit);

    v[49] = half_btf_sse4_1(&cospi32, &u[46], &cospi32, &u[49], &rnding, bit);

    v[50] = half_btf_sse4_1(&cospi32, &u[45], &cospi32, &u[50], &rnding, bit);

    v[51] = half_btf_sse4_1(&cospi32, &u[44], &cospi32, &u[51], &rnding, bit);

    v[52] = half_btf_sse4_1(&cospi32, &u[43], &cospi32, &u[52], &rnding, bit);

    v[53] = half_btf_sse4_1(&cospi32, &u[42], &cospi32, &u[53], &rnding, bit);

    v[54] = half_btf_sse4_1(&cospi32, &u[41], &cospi32, &u[54], &rnding, bit);

    v[55] = half_btf_sse4_1(&cospi32, &u[40], &cospi32, &u[55], &rnding, bit);

    for (i = 56; i < 64; i++) v[i] = u[i];

    // stage 11

    for (i = 0; i < 32; i++) {

      addsub_sse4_1(v[i], v[63 - i], &out[(i)], &out[(63 - i)], &clamp_lo,

                    &clamp_hi);

    if (!do_cols) {

      const int log_range_out = AOMMAX(16, bd + 6);

      const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

      const __m128i clamp_hi_out =

          _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

      for (i = 0; i < 64; i += 4) {

        round_shift_4x4(out + i, out_shift);

        highbd_clamp_epi32_sse4_1(out + i, out + i, &clamp_lo_out,

                                  &clamp_hi_out, 4);

static void idct32x32_low1_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i rounding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i bf1;

  // stage 0

  // stage 1

  bf1 = in[0];

  // stage 2

  // stage 3

  // stage 4

  // stage 5

  bf1 = half_btf_0_sse4_1(&cospi32, &bf1, &rounding, bit);

  // stage 6

  // stage 7

  // stage 8

  // stage 9

  if (do_cols) {

    bf1 = _mm_max_epi32(bf1, clamp_lo);

    bf1 = _mm_min_epi32(bf1, clamp_hi);

  } else {

    const int log_range_out = AOMMAX(16, bd + 6);

    clamp_lo = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    clamp_hi = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    if (out_shift != 0) {

      __m128i offset = _mm_set1_epi32((1 << out_shift) >> 1);

      bf1 = _mm_add_epi32(bf1, offset);

      bf1 = _mm_sra_epi32(bf1, _mm_cvtsi32_si128(out_shift));

  bf1 = _mm_max_epi32(bf1, clamp_lo);

  bf1 = _mm_min_epi32(bf1, clamp_hi);

  out[0] = bf1;

  out[1] = bf1;

  out[2] = bf1;

  out[3] = bf1;

  out[4] = bf1;

  out[5] = bf1;

  out[6] = bf1;

  out[7] = bf1;

  out[8] = bf1;

  out[9] = bf1;

  out[10] = bf1;

  out[11] = bf1;

  out[12] = bf1;

  out[13] = bf1;

  out[14] = bf1;

  out[15] = bf1;

  out[16] = bf1;

  out[17] = bf1;

  out[18] = bf1;

  out[19] = bf1;

  out[20] = bf1;

  out[21] = bf1;

  out[22] = bf1;

  out[23] = bf1;

  out[24] = bf1;

  out[25] = bf1;

  out[26] = bf1;

  out[27] = bf1;

  out[28] = bf1;

  out[29] = bf1;

  out[30] = bf1;

  out[31] = bf1;

static void idct32x32_low8_sse4_1(__m128i *in, __m128i *out, int bit,

                                  int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i rounding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i bf1[32];

  // stage 0

  // stage 1

  bf1[0] = in[0];

  bf1[4] = in[4];

  bf1[8] = in[2];

  bf1[12] = in[6];

  bf1[16] = in[1];

  bf1[20] = in[5];

  bf1[24] = in[3];

  bf1[28] = in[7];

  // stage 2

  bf1[31] = half_btf_0_sse4_1(&cospi2, &bf1[16], &rounding, bit);

  bf1[16] = half_btf_0_sse4_1(&cospi62, &bf1[16], &rounding, bit);

  bf1[19] = half_btf_0_sse4_1(&cospim50, &bf1[28], &rounding, bit);

  bf1[28] = half_btf_0_sse4_1(&cospi14, &bf1[28], &rounding, bit);

  bf1[27] = half_btf_0_sse4_1(&cospi10, &bf1[20], &rounding, bit);

  bf1[20] = half_btf_0_sse4_1(&cospi54, &bf1[20], &rounding, bit);

  bf1[23] = half_btf_0_sse4_1(&cospim58, &bf1[24], &rounding, bit);

  bf1[24] = half_btf_0_sse4_1(&cospi6, &bf1[24], &rounding, bit);

  // stage 3

  bf1[15] = half_btf_0_sse4_1(&cospi4, &bf1[8], &rounding, bit);

  bf1[8] = half_btf_0_sse4_1(&cospi60, &bf1[8], &rounding, bit);

  bf1[11] = half_btf_0_sse4_1(&cospim52, &bf1[12], &rounding, bit);

  bf1[12] = half_btf_0_sse4_1(&cospi12, &bf1[12], &rounding, bit);

  bf1[17] = bf1[16];

  bf1[18] = bf1[19];

  bf1[21] = bf1[20];

  bf1[22] = bf1[23];

  bf1[25] = bf1[24];

  bf1[26] = bf1[27];

  bf1[29] = bf1[28];

  bf1[30] = bf1[31];

  // stage 4 :

  bf1[7] = half_btf_0_sse4_1(&cospi8, &bf1[4], &rounding, bit);

  bf1[4] = half_btf_0_sse4_1(&cospi56, &bf1[4], &rounding, bit);

  bf1[9] = bf1[8];

  bf1[10] = bf1[11];

  bf1[13] = bf1[12];

  bf1[14] = bf1[15];

  idct32_stage4_sse4_1(bf1, &cospim8, &cospi56, &cospi8, &cospim56, &cospim40,

                       &cospi24, &cospi40, &cospim24, &rounding, bit);

  // stage 5

  bf1[0] = half_btf_0_sse4_1(&cospi32, &bf1[0], &rounding, bit);

  bf1[1] = bf1[0];

  bf1[5] = bf1[4];

  bf1[6] = bf1[7];

  idct32_stage5_sse4_1(bf1, &cospim16, &cospi48, &cospi16, &cospim48, &clamp_lo,

                       &clamp_hi, &rounding, bit);

  // stage 6

  bf1[3] = bf1[0];

  bf1[2] = bf1[1];

  idct32_stage6_sse4_1(bf1, &cospim32, &cospi32, &cospim16, &cospi48, &cospi16,

                       &cospim48, &clamp_lo, &clamp_hi, &rounding, bit);

  // stage 7

  idct32_stage7_sse4_1(bf1, &cospim32, &cospi32, &clamp_lo, &clamp_hi,

                       &rounding, bit);

  // stage 8

  idct32_stage8_sse4_1(bf1, &cospim32, &cospi32, &clamp_lo, &clamp_hi,

                       &rounding, bit);

  // stage 9

  idct32_stage9_sse4_1(bf1, out, do_cols, bd, out_shift, &clamp_lo, &clamp_hi);

static void idct32x32_low16_sse4_1(__m128i *in, __m128i *out, int bit,

                                   int do_cols, int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi30 = _mm_set1_epi32(cospi[30]);

  const __m128i cospi46 = _mm_set1_epi32(cospi[46]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi22 = _mm_set1_epi32(cospi[22]);

  const __m128i cospi38 = _mm_set1_epi32(cospi[38]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi26 = _mm_set1_epi32(cospi[26]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi18 = _mm_set1_epi32(cospi[18]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospim42 = _mm_set1_epi32(-cospi[42]);

  const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);

  const __m128i cospim34 = _mm_set1_epi32(-cospi[34]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i rounding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i bf1[32];

  // stage 0

  // stage 1

  bf1[0] = in[0];

  bf1[2] = in[8];

  bf1[4] = in[4];

  bf1[6] = in[12];

  bf1[8] = in[2];

  bf1[10] = in[10];

  bf1[12] = in[6];

  bf1[14] = in[14];

  bf1[16] = in[1];

  bf1[18] = in[9];

  bf1[20] = in[5];

  bf1[22] = in[13];

  bf1[24] = in[3];

  bf1[26] = in[11];

  bf1[28] = in[7];

  bf1[30] = in[15];

  // stage 2

  bf1[31] = half_btf_0_sse4_1(&cospi2, &bf1[16], &rounding, bit);

  bf1[16] = half_btf_0_sse4_1(&cospi62, &bf1[16], &rounding, bit);

  bf1[17] = half_btf_0_sse4_1(&cospim34, &bf1[30], &rounding, bit);

  bf1[30] = half_btf_0_sse4_1(&cospi30, &bf1[30], &rounding, bit);

  bf1[29] = half_btf_0_sse4_1(&cospi18, &bf1[18], &rounding, bit);

  bf1[18] = half_btf_0_sse4_1(&cospi46, &bf1[18], &rounding, bit);

  bf1[19] = half_btf_0_sse4_1(&cospim50, &bf1[28], &rounding, bit);

  bf1[28] = half_btf_0_sse4_1(&cospi14, &bf1[28], &rounding, bit);

  bf1[27] = half_btf_0_sse4_1(&cospi10, &bf1[20], &rounding, bit);

  bf1[20] = half_btf_0_sse4_1(&cospi54, &bf1[20], &rounding, bit);

  bf1[21] = half_btf_0_sse4_1(&cospim42, &bf1[26], &rounding, bit);

  bf1[26] = half_btf_0_sse4_1(&cospi22, &bf1[26], &rounding, bit);

  bf1[25] = half_btf_0_sse4_1(&cospi26, &bf1[22], &rounding, bit);

  bf1[22] = half_btf_0_sse4_1(&cospi38, &bf1[22], &rounding, bit);

  bf1[23] = half_btf_0_sse4_1(&cospim58, &bf1[24], &rounding, bit);

  bf1[24] = half_btf_0_sse4_1(&cospi6, &bf1[24], &rounding, bit);

  // stage 3

  bf1[15] = half_btf_0_sse4_1(&cospi4, &bf1[8], &rounding, bit);

  bf1[8] = half_btf_0_sse4_1(&cospi60, &bf1[8], &rounding, bit);

  bf1[9] = half_btf_0_sse4_1(&cospim36, &bf1[14], &rounding, bit);

  bf1[14] = half_btf_0_sse4_1(&cospi28, &bf1[14], &rounding, bit);

  bf1[13] = half_btf_0_sse4_1(&cospi20, &bf1[10], &rounding, bit);

  bf1[10] = half_btf_0_sse4_1(&cospi44, &bf1[10], &rounding, bit);

  bf1[11] = half_btf_0_sse4_1(&cospim52, &bf1[12], &rounding, bit);

  bf1[12] = half_btf_0_sse4_1(&cospi12, &bf1[12], &rounding, bit);

  addsub_sse4_1(bf1[16], bf1[17], bf1 + 16, bf1 + 17, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[19], bf1[18], bf1 + 19, bf1 + 18, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[20], bf1[21], bf1 + 20, bf1 + 21, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[23], bf1[22], bf1 + 23, bf1 + 22, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[24], bf1[25], bf1 + 24, bf1 + 25, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[27], bf1[26], bf1 + 27, bf1 + 26, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[28], bf1[29], bf1 + 28, bf1 + 29, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[31], bf1[30], bf1 + 31, bf1 + 30, &clamp_lo, &clamp_hi);

  // stage 4

  bf1[7] = half_btf_0_sse4_1(&cospi8, &bf1[4], &rounding, bit);

  bf1[4] = half_btf_0_sse4_1(&cospi56, &bf1[4], &rounding, bit);

  bf1[5] = half_btf_0_sse4_1(&cospim40, &bf1[6], &rounding, bit);

  bf1[6] = half_btf_0_sse4_1(&cospi24, &bf1[6], &rounding, bit);

  addsub_sse4_1(bf1[8], bf1[9], bf1 + 8, bf1 + 9, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[11], bf1[10], bf1 + 11, bf1 + 10, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[12], bf1[13], bf1 + 12, bf1 + 13, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[15], bf1[14], bf1 + 15, bf1 + 14, &clamp_lo, &clamp_hi);

  idct32_stage4_sse4_1(bf1, &cospim8, &cospi56, &cospi8, &cospim56, &cospim40,

                       &cospi24, &cospi40, &cospim24, &rounding, bit);

  // stage 5

  bf1[0] = half_btf_0_sse4_1(&cospi32, &bf1[0], &rounding, bit);

  bf1[1] = bf1[0];

  bf1[3] = half_btf_0_sse4_1(&cospi16, &bf1[2], &rounding, bit);

  bf1[2] = half_btf_0_sse4_1(&cospi48, &bf1[2], &rounding, bit);

  addsub_sse4_1(bf1[4], bf1[5], bf1 + 4, bf1 + 5, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[7], bf1[6], bf1 + 7, bf1 + 6, &clamp_lo, &clamp_hi);

  idct32_stage5_sse4_1(bf1, &cospim16, &cospi48, &cospi16, &cospim48, &clamp_lo,

                       &clamp_hi, &rounding, bit);

  // stage 6

  addsub_sse4_1(bf1[0], bf1[3], bf1 + 0, bf1 + 3, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[1], bf1[2], bf1 + 1, bf1 + 2, &clamp_lo, &clamp_hi);

  idct32_stage6_sse4_1(bf1, &cospim32, &cospi32, &cospim16, &cospi48, &cospi16,

                       &cospim48, &clamp_lo, &clamp_hi, &rounding, bit);

  // stage 7

  idct32_stage7_sse4_1(bf1, &cospim32, &cospi32, &clamp_lo, &clamp_hi,

                       &rounding, bit);

  // stage 8

  idct32_stage8_sse4_1(bf1, &cospim32, &cospi32, &clamp_lo, &clamp_hi,

                       &rounding, bit);

  // stage 9

  idct32_stage9_sse4_1(bf1, out, do_cols, bd, out_shift, &clamp_lo, &clamp_hi);

static void idct32x32_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                             int bd, int out_shift) {

  const int32_t *cospi = cospi_arr(bit);

  const __m128i cospi62 = _mm_set1_epi32(cospi[62]);

  const __m128i cospi30 = _mm_set1_epi32(cospi[30]);

  const __m128i cospi46 = _mm_set1_epi32(cospi[46]);

  const __m128i cospi14 = _mm_set1_epi32(cospi[14]);

  const __m128i cospi54 = _mm_set1_epi32(cospi[54]);

  const __m128i cospi22 = _mm_set1_epi32(cospi[22]);

  const __m128i cospi38 = _mm_set1_epi32(cospi[38]);

  const __m128i cospi6 = _mm_set1_epi32(cospi[6]);

  const __m128i cospi58 = _mm_set1_epi32(cospi[58]);

  const __m128i cospi26 = _mm_set1_epi32(cospi[26]);

  const __m128i cospi42 = _mm_set1_epi32(cospi[42]);

  const __m128i cospi10 = _mm_set1_epi32(cospi[10]);

  const __m128i cospi50 = _mm_set1_epi32(cospi[50]);

  const __m128i cospi18 = _mm_set1_epi32(cospi[18]);

  const __m128i cospi34 = _mm_set1_epi32(cospi[34]);

  const __m128i cospi2 = _mm_set1_epi32(cospi[2]);

  const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);

  const __m128i cospim26 = _mm_set1_epi32(-cospi[26]);

  const __m128i cospim42 = _mm_set1_epi32(-cospi[42]);

  const __m128i cospim10 = _mm_set1_epi32(-cospi[10]);

  const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);

  const __m128i cospim18 = _mm_set1_epi32(-cospi[18]);

  const __m128i cospim34 = _mm_set1_epi32(-cospi[34]);

  const __m128i cospim2 = _mm_set1_epi32(-cospi[2]);

  const __m128i cospi60 = _mm_set1_epi32(cospi[60]);

  const __m128i cospi28 = _mm_set1_epi32(cospi[28]);

  const __m128i cospi44 = _mm_set1_epi32(cospi[44]);

  const __m128i cospi12 = _mm_set1_epi32(cospi[12]);

  const __m128i cospi52 = _mm_set1_epi32(cospi[52]);

  const __m128i cospi20 = _mm_set1_epi32(cospi[20]);

  const __m128i cospi36 = _mm_set1_epi32(cospi[36]);

  const __m128i cospi4 = _mm_set1_epi32(cospi[4]);

  const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);

  const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);

  const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);

  const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);

  const __m128i cospi56 = _mm_set1_epi32(cospi[56]);

  const __m128i cospi24 = _mm_set1_epi32(cospi[24]);

  const __m128i cospi40 = _mm_set1_epi32(cospi[40]);

  const __m128i cospi8 = _mm_set1_epi32(cospi[8]);

  const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);

  const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);

  const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);

  const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);

  const __m128i cospi32 = _mm_set1_epi32(cospi[32]);

  const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);

  const __m128i cospi48 = _mm_set1_epi32(cospi[48]);

  const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);

  const __m128i cospi16 = _mm_set1_epi32(cospi[16]);

  const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);

  const __m128i rounding = _mm_set1_epi32(1 << (bit - 1));

  const int log_range = AOMMAX(16, bd + (do_cols ? 6 : 8));

  const __m128i clamp_lo = _mm_set1_epi32(-(1 << (log_range - 1)));

  const __m128i clamp_hi = _mm_set1_epi32((1 << (log_range - 1)) - 1);

  __m128i bf1[32], bf0[32];

  // stage 0

  // stage 1

  bf1[0] = in[0];

  bf1[1] = in[16];

  bf1[2] = in[8];

  bf1[3] = in[24];

  bf1[4] = in[4];

  bf1[5] = in[20];

  bf1[6] = in[12];

  bf1[7] = in[28];

  bf1[8] = in[2];

  bf1[9] = in[18];

  bf1[10] = in[10];

  bf1[11] = in[26];

  bf1[12] = in[6];

  bf1[13] = in[22];

  bf1[14] = in[14];

  bf1[15] = in[30];

  bf1[16] = in[1];

  bf1[17] = in[17];

  bf1[18] = in[9];

  bf1[19] = in[25];

  bf1[20] = in[5];

  bf1[21] = in[21];

  bf1[22] = in[13];

  bf1[23] = in[29];

  bf1[24] = in[3];

  bf1[25] = in[19];

  bf1[26] = in[11];

  bf1[27] = in[27];

  bf1[28] = in[7];

  bf1[29] = in[23];

  bf1[30] = in[15];

  bf1[31] = in[31];

  // stage 2

  bf0[0] = bf1[0];

  bf0[1] = bf1[1];

  bf0[2] = bf1[2];

  bf0[3] = bf1[3];

  bf0[4] = bf1[4];

  bf0[5] = bf1[5];

  bf0[6] = bf1[6];

  bf0[7] = bf1[7];

  bf0[8] = bf1[8];

  bf0[9] = bf1[9];

  bf0[10] = bf1[10];

  bf0[11] = bf1[11];

  bf0[12] = bf1[12];

  bf0[13] = bf1[13];

  bf0[14] = bf1[14];

  bf0[15] = bf1[15];

  bf0[16] =

      half_btf_sse4_1(&cospi62, &bf1[16], &cospim2, &bf1[31], &rounding, bit);

  bf0[17] =

      half_btf_sse4_1(&cospi30, &bf1[17], &cospim34, &bf1[30], &rounding, bit);

  bf0[18] =

      half_btf_sse4_1(&cospi46, &bf1[18], &cospim18, &bf1[29], &rounding, bit);

  bf0[19] =

      half_btf_sse4_1(&cospi14, &bf1[19], &cospim50, &bf1[28], &rounding, bit);

  bf0[20] =

      half_btf_sse4_1(&cospi54, &bf1[20], &cospim10, &bf1[27], &rounding, bit);

  bf0[21] =

      half_btf_sse4_1(&cospi22, &bf1[21], &cospim42, &bf1[26], &rounding, bit);

  bf0[22] =

      half_btf_sse4_1(&cospi38, &bf1[22], &cospim26, &bf1[25], &rounding, bit);

  bf0[23] =

      half_btf_sse4_1(&cospi6, &bf1[23], &cospim58, &bf1[24], &rounding, bit);

  bf0[24] =

      half_btf_sse4_1(&cospi58, &bf1[23], &cospi6, &bf1[24], &rounding, bit);

  bf0[25] =

      half_btf_sse4_1(&cospi26, &bf1[22], &cospi38, &bf1[25], &rounding, bit);

  bf0[26] =

      half_btf_sse4_1(&cospi42, &bf1[21], &cospi22, &bf1[26], &rounding, bit);

  bf0[27] =

      half_btf_sse4_1(&cospi10, &bf1[20], &cospi54, &bf1[27], &rounding, bit);

  bf0[28] =

      half_btf_sse4_1(&cospi50, &bf1[19], &cospi14, &bf1[28], &rounding, bit);

  bf0[29] =

      half_btf_sse4_1(&cospi18, &bf1[18], &cospi46, &bf1[29], &rounding, bit);

  bf0[30] =

      half_btf_sse4_1(&cospi34, &bf1[17], &cospi30, &bf1[30], &rounding, bit);

  bf0[31] =

      half_btf_sse4_1(&cospi2, &bf1[16], &cospi62, &bf1[31], &rounding, bit);

  // stage 3

  bf1[0] = bf0[0];

  bf1[1] = bf0[1];

  bf1[2] = bf0[2];

  bf1[3] = bf0[3];

  bf1[4] = bf0[4];

  bf1[5] = bf0[5];

  bf1[6] = bf0[6];

  bf1[7] = bf0[7];

  bf1[8] =

      half_btf_sse4_1(&cospi60, &bf0[8], &cospim4, &bf0[15], &rounding, bit);

  bf1[9] =

      half_btf_sse4_1(&cospi28, &bf0[9], &cospim36, &bf0[14], &rounding, bit);

  bf1[10] =

      half_btf_sse4_1(&cospi44, &bf0[10], &cospim20, &bf0[13], &rounding, bit);

  bf1[11] =

      half_btf_sse4_1(&cospi12, &bf0[11], &cospim52, &bf0[12], &rounding, bit);

  bf1[12] =

      half_btf_sse4_1(&cospi52, &bf0[11], &cospi12, &bf0[12], &rounding, bit);

  bf1[13] =

      half_btf_sse4_1(&cospi20, &bf0[10], &cospi44, &bf0[13], &rounding, bit);

  bf1[14] =

      half_btf_sse4_1(&cospi36, &bf0[9], &cospi28, &bf0[14], &rounding, bit);

  bf1[15] =

      half_btf_sse4_1(&cospi4, &bf0[8], &cospi60, &bf0[15], &rounding, bit);

  addsub_sse4_1(bf0[16], bf0[17], bf1 + 16, bf1 + 17, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[19], bf0[18], bf1 + 19, bf1 + 18, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[20], bf0[21], bf1 + 20, bf1 + 21, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[23], bf0[22], bf1 + 23, bf1 + 22, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[24], bf0[25], bf1 + 24, bf1 + 25, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[27], bf0[26], bf1 + 27, bf1 + 26, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[28], bf0[29], bf1 + 28, bf1 + 29, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[31], bf0[30], bf1 + 31, bf1 + 30, &clamp_lo, &clamp_hi);

  // stage 4

  bf0[0] = bf1[0];

  bf0[1] = bf1[1];

  bf0[2] = bf1[2];

  bf0[3] = bf1[3];

  bf0[4] =

      half_btf_sse4_1(&cospi56, &bf1[4], &cospim8, &bf1[7], &rounding, bit);

  bf0[5] =

      half_btf_sse4_1(&cospi24, &bf1[5], &cospim40, &bf1[6], &rounding, bit);

  bf0[6] =

      half_btf_sse4_1(&cospi40, &bf1[5], &cospi24, &bf1[6], &rounding, bit);

  bf0[7] = half_btf_sse4_1(&cospi8, &bf1[4], &cospi56, &bf1[7], &rounding, bit);

  addsub_sse4_1(bf1[8], bf1[9], bf0 + 8, bf0 + 9, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[11], bf1[10], bf0 + 11, bf0 + 10, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[12], bf1[13], bf0 + 12, bf0 + 13, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[15], bf1[14], bf0 + 15, bf0 + 14, &clamp_lo, &clamp_hi);

  bf0[16] = bf1[16];

  bf0[17] =

      half_btf_sse4_1(&cospim8, &bf1[17], &cospi56, &bf1[30], &rounding, bit);

  bf0[18] =

      half_btf_sse4_1(&cospim56, &bf1[18], &cospim8, &bf1[29], &rounding, bit);

  bf0[19] = bf1[19];

  bf0[20] = bf1[20];

  bf0[21] =

      half_btf_sse4_1(&cospim40, &bf1[21], &cospi24, &bf1[26], &rounding, bit);

  bf0[22] =

      half_btf_sse4_1(&cospim24, &bf1[22], &cospim40, &bf1[25], &rounding, bit);

  bf0[23] = bf1[23];

  bf0[24] = bf1[24];

  bf0[25] =

      half_btf_sse4_1(&cospim40, &bf1[22], &cospi24, &bf1[25], &rounding, bit);

  bf0[26] =

      half_btf_sse4_1(&cospi24, &bf1[21], &cospi40, &bf1[26], &rounding, bit);

  bf0[27] = bf1[27];

  bf0[28] = bf1[28];

  bf0[29] =

      half_btf_sse4_1(&cospim8, &bf1[18], &cospi56, &bf1[29], &rounding, bit);

  bf0[30] =

      half_btf_sse4_1(&cospi56, &bf1[17], &cospi8, &bf1[30], &rounding, bit);

  bf0[31] = bf1[31];

  // stage 5

  bf1[0] =

      half_btf_sse4_1(&cospi32, &bf0[0], &cospi32, &bf0[1], &rounding, bit);

  bf1[1] =

      half_btf_sse4_1(&cospi32, &bf0[0], &cospim32, &bf0[1], &rounding, bit);

  bf1[2] =

      half_btf_sse4_1(&cospi48, &bf0[2], &cospim16, &bf0[3], &rounding, bit);

  bf1[3] =

      half_btf_sse4_1(&cospi16, &bf0[2], &cospi48, &bf0[3], &rounding, bit);

  addsub_sse4_1(bf0[4], bf0[5], bf1 + 4, bf1 + 5, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[7], bf0[6], bf1 + 7, bf1 + 6, &clamp_lo, &clamp_hi);

  bf1[8] = bf0[8];

  bf1[9] =

      half_btf_sse4_1(&cospim16, &bf0[9], &cospi48, &bf0[14], &rounding, bit);

  bf1[10] =

      half_btf_sse4_1(&cospim48, &bf0[10], &cospim16, &bf0[13], &rounding, bit);

  bf1[11] = bf0[11];

  bf1[12] = bf0[12];

  bf1[13] =

      half_btf_sse4_1(&cospim16, &bf0[10], &cospi48, &bf0[13], &rounding, bit);

  bf1[14] =

      half_btf_sse4_1(&cospi48, &bf0[9], &cospi16, &bf0[14], &rounding, bit);

  bf1[15] = bf0[15];

  addsub_sse4_1(bf0[16], bf0[19], bf1 + 16, bf1 + 19, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[17], bf0[18], bf1 + 17, bf1 + 18, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[23], bf0[20], bf1 + 23, bf1 + 20, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[22], bf0[21], bf1 + 22, bf1 + 21, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[24], bf0[27], bf1 + 24, bf1 + 27, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[25], bf0[26], bf1 + 25, bf1 + 26, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[31], bf0[28], bf1 + 31, bf1 + 28, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[30], bf0[29], bf1 + 30, bf1 + 29, &clamp_lo, &clamp_hi);

  // stage 6

  addsub_sse4_1(bf1[0], bf1[3], bf0 + 0, bf0 + 3, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[1], bf1[2], bf0 + 1, bf0 + 2, &clamp_lo, &clamp_hi);

  bf0[4] = bf1[4];

  bf0[5] =

      half_btf_sse4_1(&cospim32, &bf1[5], &cospi32, &bf1[6], &rounding, bit);

  bf0[6] =

      half_btf_sse4_1(&cospi32, &bf1[5], &cospi32, &bf1[6], &rounding, bit);

  bf0[7] = bf1[7];

  addsub_sse4_1(bf1[8], bf1[11], bf0 + 8, bf0 + 11, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[9], bf1[10], bf0 + 9, bf0 + 10, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[15], bf1[12], bf0 + 15, bf0 + 12, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[14], bf1[13], bf0 + 14, bf0 + 13, &clamp_lo, &clamp_hi);

  bf0[16] = bf1[16];

  bf0[17] = bf1[17];

  bf0[18] =

      half_btf_sse4_1(&cospim16, &bf1[18], &cospi48, &bf1[29], &rounding, bit);

  bf0[19] =

      half_btf_sse4_1(&cospim16, &bf1[19], &cospi48, &bf1[28], &rounding, bit);

  bf0[20] =

      half_btf_sse4_1(&cospim48, &bf1[20], &cospim16, &bf1[27], &rounding, bit);

  bf0[21] =

      half_btf_sse4_1(&cospim48, &bf1[21], &cospim16, &bf1[26], &rounding, bit);

  bf0[22] = bf1[22];

  bf0[23] = bf1[23];

  bf0[24] = bf1[24];

  bf0[25] = bf1[25];

  bf0[26] =

      half_btf_sse4_1(&cospim16, &bf1[21], &cospi48, &bf1[26], &rounding, bit);

  bf0[27] =

      half_btf_sse4_1(&cospim16, &bf1[20], &cospi48, &bf1[27], &rounding, bit);

  bf0[28] =

      half_btf_sse4_1(&cospi48, &bf1[19], &cospi16, &bf1[28], &rounding, bit);

  bf0[29] =

      half_btf_sse4_1(&cospi48, &bf1[18], &cospi16, &bf1[29], &rounding, bit);

  bf0[30] = bf1[30];

  bf0[31] = bf1[31];

  // stage 7

  addsub_sse4_1(bf0[0], bf0[7], bf1 + 0, bf1 + 7, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[1], bf0[6], bf1 + 1, bf1 + 6, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[2], bf0[5], bf1 + 2, bf1 + 5, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[3], bf0[4], bf1 + 3, bf1 + 4, &clamp_lo, &clamp_hi);

  bf1[8] = bf0[8];

  bf1[9] = bf0[9];

  bf1[10] =

      half_btf_sse4_1(&cospim32, &bf0[10], &cospi32, &bf0[13], &rounding, bit);

  bf1[11] =

      half_btf_sse4_1(&cospim32, &bf0[11], &cospi32, &bf0[12], &rounding, bit);

  bf1[12] =

      half_btf_sse4_1(&cospi32, &bf0[11], &cospi32, &bf0[12], &rounding, bit);

  bf1[13] =

      half_btf_sse4_1(&cospi32, &bf0[10], &cospi32, &bf0[13], &rounding, bit);

  bf1[14] = bf0[14];

  bf1[15] = bf0[15];

  addsub_sse4_1(bf0[16], bf0[23], bf1 + 16, bf1 + 23, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[17], bf0[22], bf1 + 17, bf1 + 22, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[18], bf0[21], bf1 + 18, bf1 + 21, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[19], bf0[20], bf1 + 19, bf1 + 20, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[31], bf0[24], bf1 + 31, bf1 + 24, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[30], bf0[25], bf1 + 30, bf1 + 25, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[29], bf0[26], bf1 + 29, bf1 + 26, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[28], bf0[27], bf1 + 28, bf1 + 27, &clamp_lo, &clamp_hi);

  // stage 8

  addsub_sse4_1(bf1[0], bf1[15], bf0 + 0, bf0 + 15, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[1], bf1[14], bf0 + 1, bf0 + 14, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[2], bf1[13], bf0 + 2, bf0 + 13, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[3], bf1[12], bf0 + 3, bf0 + 12, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[4], bf1[11], bf0 + 4, bf0 + 11, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[5], bf1[10], bf0 + 5, bf0 + 10, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[6], bf1[9], bf0 + 6, bf0 + 9, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf1[7], bf1[8], bf0 + 7, bf0 + 8, &clamp_lo, &clamp_hi);

  bf0[16] = bf1[16];

  bf0[17] = bf1[17];

  bf0[18] = bf1[18];

  bf0[19] = bf1[19];

  bf0[20] =

      half_btf_sse4_1(&cospim32, &bf1[20], &cospi32, &bf1[27], &rounding, bit);

  bf0[21] =

      half_btf_sse4_1(&cospim32, &bf1[21], &cospi32, &bf1[26], &rounding, bit);

  bf0[22] =

      half_btf_sse4_1(&cospim32, &bf1[22], &cospi32, &bf1[25], &rounding, bit);

  bf0[23] =

      half_btf_sse4_1(&cospim32, &bf1[23], &cospi32, &bf1[24], &rounding, bit);

  bf0[24] =

      half_btf_sse4_1(&cospi32, &bf1[23], &cospi32, &bf1[24], &rounding, bit);

  bf0[25] =

      half_btf_sse4_1(&cospi32, &bf1[22], &cospi32, &bf1[25], &rounding, bit);

  bf0[26] =

      half_btf_sse4_1(&cospi32, &bf1[21], &cospi32, &bf1[26], &rounding, bit);

  bf0[27] =

      half_btf_sse4_1(&cospi32, &bf1[20], &cospi32, &bf1[27], &rounding, bit);

  bf0[28] = bf1[28];

  bf0[29] = bf1[29];

  bf0[30] = bf1[30];

  bf0[31] = bf1[31];

  // stage 9

  addsub_sse4_1(bf0[0], bf0[31], out + 0, out + 31, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[1], bf0[30], out + 1, out + 30, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[2], bf0[29], out + 2, out + 29, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[3], bf0[28], out + 3, out + 28, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[4], bf0[27], out + 4, out + 27, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[5], bf0[26], out + 5, out + 26, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[6], bf0[25], out + 6, out + 25, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[7], bf0[24], out + 7, out + 24, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[8], bf0[23], out + 8, out + 23, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[9], bf0[22], out + 9, out + 22, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[10], bf0[21], out + 10, out + 21, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[11], bf0[20], out + 11, out + 20, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[12], bf0[19], out + 12, out + 19, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[13], bf0[18], out + 13, out + 18, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[14], bf0[17], out + 14, out + 17, &clamp_lo, &clamp_hi);

  addsub_sse4_1(bf0[15], bf0[16], out + 15, out + 16, &clamp_lo, &clamp_hi);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    round_shift_8x8(out, out_shift);

    round_shift_8x8(out + 16, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 32);

static void av1_highbd_inv_txfm_add_8x8_sse4_1(const tran_low_t *input,

                                               uint8_t *dest, int stride,

                                               const TxfmParam *txfm_param) {

  int bd = txfm_param->bd;

  const TX_TYPE tx_type = txfm_param->tx_type;

  const int32_t *src = cast_to_int32(input);

  switch (tx_type) {

    case IDTX:

    case H_DCT:

    case H_ADST:

    case H_FLIPADST:

    case V_DCT:

    case V_ADST:

    case V_FLIPADST:

      av1_highbd_inv_txfm2d_add_universe_sse4_1(input, dest, stride, tx_type,

                                                txfm_param->tx_size,

                                                txfm_param->eob, bd);

      break;

    default:

      av1_inv_txfm2d_add_8x8_sse4_1(src, CONVERT_TO_SHORTPTR(dest), stride,

                                    tx_type, bd);

      break;

static void av1_highbd_inv_txfm_add_4x4_sse4_1(const tran_low_t *input,

                                               uint8_t *dest, int stride,

                                               const TxfmParam *txfm_param) {

  assert(av1_ext_tx_used[txfm_param->tx_set_type][txfm_param->tx_type]);

  int eob = txfm_param->eob;

  int bd = txfm_param->bd;

  int lossless = txfm_param->lossless;

  const int32_t *src = cast_to_int32(input);

  const TX_TYPE tx_type = txfm_param->tx_type;

  if (lossless) {

    assert(tx_type == DCT_DCT);

    av1_highbd_iwht4x4_add(input, dest, stride, eob, bd);

    return;

  av1_inv_txfm2d_add_4x4_sse4_1(src, CONVERT_TO_SHORTPTR(dest), stride, tx_type,

                                bd);

static void iidentity32_sse4_1(__m128i *in, __m128i *out, int bit, int do_cols,

                               int bd, int out_shift) {

  (void)bit;

  for (int i = 0; i < 32; i += 16) {

    out[i] = _mm_slli_epi32(in[i], 2);

    out[i + 1] = _mm_slli_epi32(in[i + 1], 2);

    out[i + 2] = _mm_slli_epi32(in[i + 2], 2);

    out[i + 3] = _mm_slli_epi32(in[i + 3], 2);

    out[i + 4] = _mm_slli_epi32(in[i + 4], 2);

    out[i + 5] = _mm_slli_epi32(in[i + 5], 2);

    out[i + 6] = _mm_slli_epi32(in[i + 6], 2);

    out[i + 7] = _mm_slli_epi32(in[i + 7], 2);

    out[i + 8] = _mm_slli_epi32(in[i + 8], 2);

    out[i + 9] = _mm_slli_epi32(in[i + 9], 2);

    out[i + 10] = _mm_slli_epi32(in[i + 10], 2);

    out[i + 11] = _mm_slli_epi32(in[i + 11], 2);

    out[i + 12] = _mm_slli_epi32(in[i + 12], 2);

    out[i + 13] = _mm_slli_epi32(in[i + 13], 2);

    out[i + 14] = _mm_slli_epi32(in[i + 14], 2);

    out[i + 15] = _mm_slli_epi32(in[i + 15], 2);

  if (!do_cols) {

    const int log_range_out = AOMMAX(16, bd + 6);

    const __m128i clamp_lo_out = _mm_set1_epi32(-(1 << (log_range_out - 1)));

    const __m128i clamp_hi_out = _mm_set1_epi32((1 << (log_range_out - 1)) - 1);

    round_shift_8x8(out, out_shift);

    round_shift_8x8(out + 16, out_shift);

    highbd_clamp_epi32_sse4_1(out, out, &clamp_lo_out, &clamp_hi_out, 32);

static const transform_1d_sse4_1

    highbd_txfm_all_1d_zeros_w8_arr[TX_SIZES][ITX_TYPES_1D][4] = {

          { idct4x4_sse4_1, NULL, NULL, NULL },

          { iadst4x4_sse4_1, NULL, NULL, NULL },

          { iidentity4_sse4_1, iidentity4_sse4_1, iidentity4_sse4_1, NULL },

},

      { { idct8x8_low1_sse4_1, idct8x8_new_sse4_1, NULL, NULL },

        { iadst8x8_low1_sse4_1, iadst8x8_new_sse4_1, NULL, NULL },

        { iidentity8_sse4_1, iidentity8_sse4_1, NULL, NULL } },

          { idct16x16_low1_sse4_1, idct16x16_low8_sse4_1, idct16x16_sse4_1,

            NULL },

          { iadst16x16_low1_sse4_1, iadst16x16_low8_sse4_1, iadst16x16_sse4_1,

            NULL },

          { iidentity16_sse4_1, NULL, iidentity16_sse4_1, NULL },

},

      { { idct32x32_low1_sse4_1, idct32x32_low8_sse4_1, idct32x32_low16_sse4_1,

          idct32x32_sse4_1 },

        { NULL, NULL, NULL, NULL },

        { iidentity32_sse4_1, NULL, NULL, NULL } },

      { { idct64x64_low1_sse4_1, idct64x64_low8_sse4_1, idct64x64_low16_sse4_1,

          idct64x64_sse4_1 },

        { NULL, NULL, NULL, NULL },

        { NULL, NULL, NULL, NULL } }

};

static void highbd_inv_txfm2d_add_h_identity_ssse41(const int32_t *input,

                                                    uint16_t *output,

                                                    int stride, TX_TYPE tx_type,

                                                    TX_SIZE tx_size, int eob,

                                                    const int bd) {

  __m128i buf1[64];

  int eobx, eoby;

  get_eobx_eoby_scan_v_identity(&eobx, &eoby, tx_size, eob);

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int buf_size_w = AOMMIN(32, txfm_size_col);

  const int buf_size_w_div4 = buf_size_w >> 2;

  const int buf_size_h_div8 = (eoby + 8) >> 3;

  const int row_max = AOMMIN(32, txfm_size_row);

  const int input_stride = row_max;

  const int rect_type = get_rect_tx_log_ratio(txfm_size_col, txfm_size_row);

  const int fun_idx = lowbd_txfm_all_1d_zeros_idx[eoby];

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][0];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][fun_idx];

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  for (int i = 0; i < (buf_size_h_div8 << 1); ++i) {

    __m128i buf0[16];

    load_buffer_32bit_input(input + i * 4, input_stride, buf0, buf_size_w);

    if (rect_type == 1 || rect_type == -1) {

      av1_round_shift_rect_array_32_sse4_1(buf0, buf0, buf_size_w, 0,

                                           NewInvSqrt2);

    row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

    __m128i *_buf1 = buf1 + i * 4;

    for (int j = 0; j < buf_size_w_div4; ++j) {

      __m128i *buf0_cur = buf0 + j * 4;

      TRANSPOSE_4X4(buf0_cur[0], buf0_cur[1], buf0_cur[2], buf0_cur[3],

                    buf0_cur[0], buf0_cur[1], buf0_cur[2], buf0_cur[3]);

      _buf1[j * txfm_size_row + 0] = buf0_cur[0];

      _buf1[j * txfm_size_row + 1] = buf0_cur[1];

      _buf1[j * txfm_size_row + 2] = buf0_cur[2];

      _buf1[j * txfm_size_row + 3] = buf0_cur[3];

  for (int i = 0; i < buf_size_w_div4; i++) {

    col_txfm(buf1 + i * txfm_size_row, buf1 + i * txfm_size_row, INV_COS_BIT, 1,

             bd, 0);

    av1_round_shift_array_32_sse4_1(buf1 + i * txfm_size_row,

                                    buf1 + i * txfm_size_row, txfm_size_row,

                                    -shift[1]);

  // write to buffer

  for (int i = 0; i < (txfm_size_col >> 3); i++) {

    highbd_write_buffer_8xn_sse4_1(buf1 + i * txfm_size_row * 2, output + 8 * i,

                                   stride, ud_flip, txfm_size_row, bd);

static void highbd_inv_txfm2d_add_v_identity_ssse41(const int32_t *input,

                                                    uint16_t *output,

                                                    int stride, TX_TYPE tx_type,

                                                    TX_SIZE tx_size, int eob,

                                                    const int bd) {

  __m128i buf1[64];

  int eobx, eoby;

  get_eobx_eoby_scan_h_identity(&eobx, &eoby, tx_size, eob);

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int buf_size_w_div4 = AOMMIN(32, txfm_size_col) >> 2;

  const int row_max = AOMMIN(32, txfm_size_row);

  const int input_stride = row_max;

  const int buf_size_nonzero_w_div8 = (eobx + 8) >> 3;

  const int buf_size_nonzero_w = buf_size_nonzero_w_div8 << 3;

  const int rect_type = get_rect_tx_log_ratio(txfm_size_col, txfm_size_row);

  const int fun_idx = lowbd_txfm_all_1d_zeros_idx[eobx];

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][fun_idx];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][0];

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  for (int i = 0; i < (row_max >> 2); ++i) {

    __m128i buf0[16];

    load_buffer_32bit_input(input + i * 4, input_stride, buf0,

                            buf_size_nonzero_w);

    if (rect_type == 1 || rect_type == -1) {

      av1_round_shift_rect_array_32_sse4_1(buf0, buf0, buf_size_nonzero_w, 0,

                                           NewInvSqrt2);

    row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

    __m128i *_buf1 = buf1 + i * 4;

    if (lr_flip) {

      for (int j = 0; j < buf_size_w_div4; ++j) {

        TRANSPOSE_4X4(buf0[4 * j + 3], buf0[4 * j + 2], buf0[4 * j + 1],

                      buf0[4 * j],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 0],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 1],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 2],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 3]);

    } else {

      for (int j = 0; j < buf_size_w_div4; ++j) {

        TRANSPOSE_4X4(

            buf0[j * 4 + 0], buf0[j * 4 + 1], buf0[j * 4 + 2], buf0[j * 4 + 3],

            _buf1[j * txfm_size_row + 0], _buf1[j * txfm_size_row + 1],

            _buf1[j * txfm_size_row + 2], _buf1[j * txfm_size_row + 3]);

  for (int i = 0; i < buf_size_w_div4; i++) {

    col_txfm(buf1 + i * txfm_size_row, buf1 + i * txfm_size_row, INV_COS_BIT, 1,

             bd, 0);

    av1_round_shift_array_32_sse4_1(buf1 + i * txfm_size_row,

                                    buf1 + i * txfm_size_row, txfm_size_row,

                                    -shift[1]);

  // write to buffer

    for (int i = 0; i < (txfm_size_col >> 3); i++) {

      highbd_write_buffer_8xn_sse4_1(buf1 + i * txfm_size_row * 2,

                                     output + 8 * i, stride, ud_flip,

                                     txfm_size_row, bd);

static void highbd_inv_txfm2d_add_idtx_ssse41(const int32_t *input,

                                              uint16_t *output, int stride,

                                              TX_TYPE tx_type, TX_SIZE tx_size,

                                              int eob, const int bd) {

  (void)eob;

  __m128i buf1[64 * 4];

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int row_max = AOMMIN(32, txfm_size_row);

  const int input_stride = row_max;

  const int buf_size_w = AOMMIN(32, txfm_size_col);

  const int buf_size_w_div4 = buf_size_w >> 2;

  const int rect_type = get_rect_tx_log_ratio(txfm_size_col, txfm_size_row);

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][0];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][0];

  for (int i = 0; i < (row_max >> 2); ++i) {

    __m128i buf0[32];

    load_buffer_32bit_input(input + i * 4, input_stride, buf0, buf_size_w);

    if (rect_type == 1 || rect_type == -1) {

      av1_round_shift_rect_array_32_sse4_1(buf0, buf0, buf_size_w, 0,

                                           NewInvSqrt2);

    row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

    __m128i *_buf1 = buf1 + i * 4;

    for (int j = 0; j < buf_size_w_div4; ++j) {

      __m128i *buf0_cur = buf0 + j * 4;

      TRANSPOSE_4X4(buf0_cur[0], buf0_cur[1], buf0_cur[2], buf0_cur[3],

                    buf0_cur[0], buf0_cur[1], buf0_cur[2], buf0_cur[3]);

      _buf1[j * txfm_size_row + 0] = buf0_cur[0];

      _buf1[j * txfm_size_row + 1] = buf0_cur[1];

      _buf1[j * txfm_size_row + 2] = buf0_cur[2];

      _buf1[j * txfm_size_row + 3] = buf0_cur[3];

  for (int i = 0; i < buf_size_w_div4; i++) {

    col_txfm(buf1 + i * txfm_size_row, buf1 + i * txfm_size_row, INV_COS_BIT, 1,

             bd, 0);

    av1_round_shift_array_32_sse4_1(buf1 + i * txfm_size_row,

                                    buf1 + i * txfm_size_row, txfm_size_row,

                                    -shift[1]);

  // write to buffer

    for (int i = 0; i < (txfm_size_col >> 3); i++) {

      highbd_write_buffer_8xn_sse4_1(buf1 + i * txfm_size_row * 2,

                                     output + 8 * i, stride, 0, txfm_size_row,

                                     bd);

static void highbd_inv_txfm2d_add_no_identity_sse41(const int32_t *input,

                                                    uint16_t *output,

                                                    int stride, TX_TYPE tx_type,

                                                    TX_SIZE tx_size, int eob,

                                                    const int bd) {

  __m128i buf1[64 * 16];

  int eobx, eoby;

  get_eobx_eoby_scan_default(&eobx, &eoby, tx_size, eob);

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int buf_size_w_div4 = txfm_size_col >> 2;

  const int buf_size_nonzero_w = (eobx + 8) >> 3 << 3;

  const int buf_size_nonzero_h_div8 = (eoby + 8) >> 3;

  const int input_stride = AOMMIN(32, txfm_size_row);

  const int rect_type = get_rect_tx_log_ratio(txfm_size_col, txfm_size_row);

  const int fun_idx_x = lowbd_txfm_all_1d_zeros_idx[eobx];

  const int fun_idx_y = lowbd_txfm_all_1d_zeros_idx[eoby];

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][fun_idx_x];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][fun_idx_y];

  assert(col_txfm != NULL);

  assert(row_txfm != NULL);

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  // 1st stage: column transform

  for (int i = 0; i < buf_size_nonzero_h_div8 << 1; i++) {

    __m128i buf0[64];

    load_buffer_32bit_input(input + i * 4, input_stride, buf0,

                            buf_size_nonzero_w);

    if (rect_type == 1 || rect_type == -1) {

      av1_round_shift_rect_array_32_sse4_1(buf0, buf0, buf_size_nonzero_w, 0,

                                           NewInvSqrt2);

    row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

    __m128i *_buf1 = buf1 + i * 4;

    if (lr_flip) {

      for (int j = 0; j < buf_size_w_div4; ++j) {

        TRANSPOSE_4X4(buf0[4 * j + 3], buf0[4 * j + 2], buf0[4 * j + 1],

                      buf0[4 * j],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 0],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 1],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 2],

                      _buf1[txfm_size_row * (buf_size_w_div4 - 1 - j) + 3]);

    } else {

      for (int j = 0; j < buf_size_w_div4; ++j) {

        TRANSPOSE_4X4(

            buf0[j * 4 + 0], buf0[j * 4 + 1], buf0[j * 4 + 2], buf0[j * 4 + 3],

            _buf1[j * txfm_size_row + 0], _buf1[j * txfm_size_row + 1],

            _buf1[j * txfm_size_row + 2], _buf1[j * txfm_size_row + 3]);

  // 2nd stage: column transform

  for (int i = 0; i < buf_size_w_div4; i++) {

    col_txfm(buf1 + i * txfm_size_row, buf1 + i * txfm_size_row, INV_COS_BIT, 1,

             bd, 0);

    av1_round_shift_array_32_sse4_1(buf1 + i * txfm_size_row,

                                    buf1 + i * txfm_size_row, txfm_size_row,

                                    -shift[1]);

  // write to buffer

    for (int i = 0; i < (txfm_size_col >> 3); i++) {

      highbd_write_buffer_8xn_sse4_1(buf1 + i * txfm_size_row * 2,

                                     output + 8 * i, stride, ud_flip,

                                     txfm_size_row, bd);

static void highbd_inv_txfm2d_add_4x8_sse41(const int32_t *input,

                                            uint16_t *output, int stride,

                                            TX_TYPE tx_type, TX_SIZE tx_size,

                                            int eob, const int bd) {

  (void)eob;

  __m128i buf1[8];

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][0];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][1];

  const int input_stride = AOMMIN(32, txfm_size_row);

  assert(col_txfm != NULL);

  assert(row_txfm != NULL);

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  // 1st stage: column transform

  __m128i buf0[8];

  load_buffer_32bit_input(input, input_stride, buf0, txfm_size_col);

  load_buffer_32bit_input(input + 4, input_stride, buf0 + 4, txfm_size_col);

  av1_round_shift_rect_array_32_sse4_1(buf0, buf0, txfm_size_row, 0,

                                       NewInvSqrt2);

  row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

  row_txfm(buf0 + 4, buf0 + 4, INV_COS_BIT, 0, bd, -shift[0]);

  if (lr_flip) {

    TRANSPOSE_4X4(buf0[3], buf0[2], buf0[1], buf0[0], buf1[0], buf1[1], buf1[2],

                  buf1[3]);

    TRANSPOSE_4X4(buf0[7], buf0[6], buf0[5], buf0[4], buf1[4], buf1[5], buf1[6],

                  buf1[7]);

  } else {

    TRANSPOSE_4X4(buf0[0], buf0[1], buf0[2], buf0[3], buf1[0], buf1[1], buf1[2],

                  buf1[3]);

    TRANSPOSE_4X4(buf0[4], buf0[5], buf0[6], buf0[7], buf1[4], buf1[5], buf1[6],

                  buf1[7]);

  // 2nd stage: column transform

  col_txfm(buf1, buf1, INV_COS_BIT, 1, bd, 0);

  av1_round_shift_array_32_sse4_1(buf1, buf1, txfm_size_row, -shift[1]);

  // write to buffer

  highbd_write_buffer_4xn_sse4_1(buf1, output, stride, ud_flip, txfm_size_row,

                                 bd);

static void highbd_inv_txfm2d_add_8x4_sse41(const int32_t *input,

                                            uint16_t *output, int stride,

                                            TX_TYPE tx_type, TX_SIZE tx_size,

                                            int eob, const int bd) {

  (void)eob;

  __m128i buf1[8];

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][1];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][0];

  assert(col_txfm != NULL);

  assert(row_txfm != NULL);

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  // 1st stage: column transform

  __m128i buf0[8];

  const int32_t *input_row = input;

  load_buffer_32bit_input(input_row, 4, buf0, txfm_size_col);

  av1_round_shift_rect_array_32_sse4_1(buf0, buf0, txfm_size_col, 0,

                                       NewInvSqrt2);

  row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

  __m128i *buf1_ptr;

  if (lr_flip) {

    flip_buf_sse2(buf0, buf1, txfm_size_col);

    buf1_ptr = buf1;

  } else {

    buf1_ptr = buf0;

  // 2nd stage: column transform

  for (int i = 0; i < 2; i++) {

    __m128i *buf1_cur = buf1_ptr + i * txfm_size_row;

    transpose_32bit_4x4(buf1_cur, buf1_cur);

    col_txfm(buf1_cur, buf1_cur, INV_COS_BIT, 1, bd, 0);

  av1_round_shift_array_32_sse4_1(buf1_ptr, buf1_ptr, txfm_size_col, -shift[1]);

  // write to buffer

  highbd_write_buffer_8xn_sse4_1(buf1_ptr, output, stride, ud_flip,

                                 txfm_size_row, bd);

static void highbd_inv_txfm2d_add_4x16_sse4_1(const int32_t *input,

                                              uint16_t *output, int stride,

                                              TX_TYPE tx_type, TX_SIZE tx_size,

                                              int eob, const int bd) {

  (void)eob;

  __m128i buf1[16];

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int buf_size_h_div8 = txfm_size_row >> 2;

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][0];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][2];

  const int input_stride = AOMMIN(32, txfm_size_row);

  assert(col_txfm != NULL);

  assert(row_txfm != NULL);

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  // 1st stage: column transform

  __m128i buf0[16];

  for (int i = 0; i < (txfm_size_row >> 2); i++) {

    const int32_t *input_row = input + i * 4;

    __m128i *buf0_cur = buf0 + i * 4;

    load_buffer_32bit_input(input_row, input_stride, buf0_cur, txfm_size_col);

    row_txfm(buf0_cur, buf0_cur, INV_COS_BIT, 0, bd, -shift[0]);

  if (lr_flip) {

    for (int j = 0; j < buf_size_h_div8; ++j) {

      TRANSPOSE_4X4(buf0[4 * j + 3], buf0[4 * j + 2], buf0[4 * j + 1],

                    buf0[4 * j], buf1[4 * j], buf1[4 * j + 1], buf1[4 * j + 2],

                    buf1[4 * j + 3]);

  } else {

    for (int j = 0; j < buf_size_h_div8; ++j) {

      TRANSPOSE_4X4(buf0[4 * j], buf0[4 * j + 1], buf0[4 * j + 2],

                    buf0[4 * j + 3], buf1[4 * j], buf1[4 * j + 1],

                    buf1[4 * j + 2], buf1[4 * j + 3]);

  // 2nd stage: column transform

  col_txfm(buf1, buf1, INV_COS_BIT, 1, bd, 0);

  av1_round_shift_array_32_sse4_1(buf1, buf1, txfm_size_row, -shift[1]);

  // write to buffer

  highbd_write_buffer_4xn_sse4_1(buf1, output, stride, ud_flip, txfm_size_row,

                                 bd);

static void highbd_inv_txfm2d_add_16x4_sse4_1(const int32_t *input,

                                              uint16_t *output, int stride,

                                              TX_TYPE tx_type, TX_SIZE tx_size,

                                              int eob, const int bd) {

  (void)eob;

  __m128i buf1[16];

  const int8_t *shift = av1_inv_txfm_shift_ls[tx_size];

  const int txw_idx = get_txw_idx(tx_size);

  const int txh_idx = get_txh_idx(tx_size);

  const int txfm_size_col = tx_size_wide[tx_size];

  const int txfm_size_row = tx_size_high[tx_size];

  const int buf_size_w_div8 = txfm_size_col >> 2;

  const transform_1d_sse4_1 row_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txw_idx][hitx_1d_tab[tx_type]][2];

  const transform_1d_sse4_1 col_txfm =

      highbd_txfm_all_1d_zeros_w8_arr[txh_idx][vitx_1d_tab[tx_type]][0];

  assert(col_txfm != NULL);

  assert(row_txfm != NULL);

  int ud_flip, lr_flip;

  get_flip_cfg(tx_type, &ud_flip, &lr_flip);

  // 1st stage: column transform

  __m128i buf0[16];

  const int32_t *input_row = input;

  load_buffer_32bit_input(input_row, 4, buf0, txfm_size_col);

  row_txfm(buf0, buf0, INV_COS_BIT, 0, bd, -shift[0]);

  __m128i *buf1_ptr;

  if (lr_flip) {

    flip_buf_sse2(buf0, buf1, txfm_size_col);

    buf1_ptr = buf1;

  } else {

    buf1_ptr = buf0;

  // 2nd stage: column transform

  for (int i = 0; i < buf_size_w_div8; i++) {

    __m128i *buf1_cur = buf1_ptr + i * txfm_size_row;

    transpose_32bit_4x4(buf1_cur, buf1_cur);

    col_txfm(buf1_cur, buf1_cur, INV_COS_BIT, 1, bd, 0);

  av1_round_shift_array_32_sse4_1(buf1_ptr, buf1_ptr, txfm_size_col, -shift[1]);

  // write to buffer

  for (int i = 0; i < (txfm_size_col >> 3); i++) {

    highbd_write_buffer_8xn_sse4_1(buf1_ptr + i * txfm_size_row * 2,

                                   output + 8 * i, stride, ud_flip,

                                   txfm_size_row, bd);

void av1_highbd_inv_txfm2d_add_universe_sse4_1(const int32_t *input,

                                               uint8_t *output, int stride,

                                               TX_TYPE tx_type, TX_SIZE tx_size,

                                               int eob, const int bd) {

  switch (tx_type) {

    case DCT_DCT:

    case ADST_DCT:

    case DCT_ADST:

    case ADST_ADST:

    case FLIPADST_DCT:

    case DCT_FLIPADST:

    case FLIPADST_FLIPADST:

    case ADST_FLIPADST:

    case FLIPADST_ADST:

      highbd_inv_txfm2d_add_no_identity_sse41(

          input, CONVERT_TO_SHORTPTR(output), stride, tx_type, tx_size, eob,

          bd);

      break;

    case V_DCT:

    case V_ADST:

    case V_FLIPADST:

      highbd_inv_txfm2d_add_h_identity_ssse41(

          input, CONVERT_TO_SHORTPTR(output), stride, tx_type, tx_size, eob,

          bd);

      break;

    case H_DCT:

    case H_ADST:

    case H_FLIPADST:

      highbd_inv_txfm2d_add_v_identity_ssse41(

          input, CONVERT_TO_SHORTPTR(output), stride, tx_type, tx_size, eob,

          bd);

      break;

    case IDTX:

      highbd_inv_txfm2d_add_idtx_ssse41(input, CONVERT_TO_SHORTPTR(output),

                                        stride, tx_type, tx_size, eob, bd);

      break;

    default: assert(0); break;

static void av1_highbd_inv_txfm_add_4x8_sse4_1(const tran_low_t *input,

                                               uint8_t *dest, int stride,

                                               const TxfmParam *txfm_param) {

  int bd = txfm_param->bd;

  const TX_TYPE tx_type = txfm_param->tx_type;

  const TX_SIZE tx_size = txfm_param->tx_size;

  int eob = txfm_param->eob;

  highbd_inv_txfm2d_add_4x8_sse41(input, CONVERT_TO_SHORTPTR(dest), stride,

                                  tx_type, tx_size, eob, bd);

static void av1_highbd_inv_txfm_add_8x4_sse4_1(const tran_low_t *input,

                                               uint8_t *dest, int stride,

                                               const TxfmParam *txfm_param) {

  int bd = txfm_param->bd;

  const TX_TYPE tx_type = txfm_param->tx_type;

  const TX_SIZE tx_size = txfm_param->tx_size;

  int eob = txfm_param->eob;

  highbd_inv_txfm2d_add_8x4_sse41(input, CONVERT_TO_SHORTPTR(dest), stride,

                                  tx_type, tx_size, eob, bd);

static void av1_highbd_inv_txfm_add_4x16_sse4_1(const tran_low_t *input,

                                                uint8_t *dest, int stride,

                                                const TxfmParam *txfm_param) {

  int bd = txfm_param->bd;

  const TX_TYPE tx_type = txfm_param->tx_type;

  const TX_SIZE tx_size = txfm_param->tx_size;

  int eob = txfm_param->eob;

  highbd_inv_txfm2d_add_4x16_sse4_1(input, CONVERT_TO_SHORTPTR(dest), stride,

                                    tx_type, tx_size, eob, bd);

static void av1_highbd_inv_txfm_add_16x4_sse4_1(const tran_low_t *input,

                                                uint8_t *dest, int stride,

                                                const TxfmParam *txfm_param) {

  int bd = txfm_param->bd;

  const TX_TYPE tx_type = txfm_param->tx_type;

  const TX_SIZE tx_size = txfm_param->tx_size;

  int eob = txfm_param->eob;

  highbd_inv_txfm2d_add_16x4_sse4_1(input, CONVERT_TO_SHORTPTR(dest), stride,

                                    tx_type, tx_size, eob, bd);

void av1_highbd_inv_txfm_add_sse4_1(const tran_low_t *input, uint8_t *dest,

                                    int stride, const TxfmParam *txfm_param) {

  assert(av1_ext_tx_used[txfm_param->tx_set_type][txfm_param->tx_type]);

  const TX_SIZE tx_size = txfm_param->tx_size;

  switch (tx_size) {

    case TX_8X8:

      av1_highbd_inv_txfm_add_8x8_sse4_1(input, dest, stride, txfm_param);

      break;

    case TX_4X8:

      av1_highbd_inv_txfm_add_4x8_sse4_1(input, dest, stride, txfm_param);

      break;

    case TX_8X4:

      av1_highbd_inv_txfm_add_8x4_sse4_1(input, dest, stride, txfm_param);

      break;

    case TX_4X4:

      av1_highbd_inv_txfm_add_4x4_sse4_1(input, dest, stride, txfm_param);

      break;

    case TX_16X4:

      av1_highbd_inv_txfm_add_16x4_sse4_1(input, dest, stride, txfm_param);

      break;

    case TX_4X16:

      av1_highbd_inv_txfm_add_4x16_sse4_1(input, dest, stride, txfm_param);

      break;

    default:

      av1_highbd_inv_txfm2d_add_universe_sse4_1(

          input, dest, stride, txfm_param->tx_type, tx_size, txfm_param->eob,

          txfm_param->bd);

      break;