SSE2 version of vp9_short_fdct32x32_rd.
authorChristian Duvivier <cduvivier@google.com>
Tue, 18 Jun 2013 22:23:25 +0000 (15:23 -0700)
committerChristian Duvivier <cduvivier@google.com>
Sat, 29 Jun 2013 20:53:00 +0000 (13:53 -0700)
43,000 -> 5,750 cycles, about 7.5x faster.

Change-Id: Ibfd92821b9603f4ed9c256e0ececec14fa4565d0

vp9/common/vp9_idct.h
vp9/common/vp9_rtcd_defs.sh
vp9/encoder/vp9_dct.c
vp9/encoder/x86/vp9_dct_sse2.c

index 64f14c9..279b580 100644 (file)
 #define pair_set_epi16(a, b) \
   _mm_set1_epi32(((uint16_t)(a)) + (((uint16_t)(b)) << 16))
 
-// Constants are round(16384 * cos(k*Pi/64)) where k = 1 to 31.
+// Constants:
+//  for (int i = 1; i< 32; ++i)
+//    printf("static const int cospi_%d_64 = %.0f;\n", i,
+//           round(16384 * cos(i*M_PI/64)));
 // Note: sin(k*Pi/64) = cos((32-k)*Pi/64)
 static const int cospi_1_64  = 16364;
 static const int cospi_2_64  = 16305;
index ea97901..5348421 100644 (file)
@@ -600,7 +600,7 @@ prototype void vp9_short_fdct32x32 "int16_t *InputData, int16_t *OutputData, int
 specialize vp9_short_fdct32x32
 
 prototype void vp9_short_fdct32x32_rd "int16_t *InputData, int16_t *OutputData, int pitch"
-specialize vp9_short_fdct32x32_rd
+specialize vp9_short_fdct32x32_rd sse2
 
 prototype void vp9_short_fdct16x16 "int16_t *InputData, int16_t *OutputData, int pitch"
 specialize vp9_short_fdct16x16 sse2
index 8be893e..139f1b8 100644 (file)
@@ -1366,6 +1366,9 @@ void vp9_short_fdct32x32_rd_c(int16_t *input, int16_t *out, int pitch) {
       temp_in[j] = input[j * shortpitch + i] << 2;
     dct32_1d(temp_in, temp_out, 0);
     for (j = 0; j < 32; ++j)
+      // TODO(cd): see quality impact of only doing
+      //           output[j * 32 + i] = (temp_out[j] + 1) >> 2;
+      //           PS: also change code in vp9/encoder/x86/vp9_dct_sse2.c
       output[j * 32 + i] = (temp_out[j] + 1 + (temp_out[j] > 0)) >> 2;
   }
 
index d218b2b..4a4e0cb 100644 (file)
@@ -1509,3 +1509,1225 @@ void vp9_short_fdct16x16_sse2(int16_t *input, int16_t *output, int pitch) {
     out = output;
   }
 }
+
+void vp9_short_fdct32x32_rd_sse2(int16_t *input,
+                                 int16_t *output_org, int pitch) {
+  // Calculate pre-multiplied strides
+  const int str1 = pitch >> 1;
+  const int str2 = pitch;
+  const int str3 = pitch + str1;
+  // We need an intermediate buffer between passes.
+  DECLARE_ALIGNED(16, int16_t, intermediate[32 * 32]);
+  // Constants
+  //    When we use them, in one case, they are all the same. In all others
+  //    it's a pair of them that we need to repeat four times. This is done
+  //    by constructing the 32 bit constant corresponding to that pair.
+  const __m128i k__cospi_p16_p16 = _mm_set1_epi16(+cospi_16_64);
+  const __m128i k__cospi_p16_m16 = pair_set_epi16(+cospi_16_64, -cospi_16_64);
+  const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64,   cospi_24_64);
+  const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
+  const __m128i k__cospi_p24_p08 = pair_set_epi16(+cospi_24_64,  cospi_8_64);
+  const __m128i k__cospi_p12_p20 = pair_set_epi16(+cospi_12_64,  cospi_20_64);
+  const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64,  cospi_12_64);
+  const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64,   cospi_28_64);
+  const __m128i k__cospi_p28_p04 = pair_set_epi16(+cospi_28_64,  cospi_4_64);
+  const __m128i k__cospi_m28_m04 = pair_set_epi16(-cospi_28_64, -cospi_4_64);
+  const __m128i k__cospi_m12_m20 = pair_set_epi16(-cospi_12_64, -cospi_20_64);
+  const __m128i k__cospi_p30_p02 = pair_set_epi16(+cospi_30_64,  cospi_2_64);
+  const __m128i k__cospi_p14_p18 = pair_set_epi16(+cospi_14_64,  cospi_18_64);
+  const __m128i k__cospi_p22_p10 = pair_set_epi16(+cospi_22_64,  cospi_10_64);
+  const __m128i k__cospi_p06_p26 = pair_set_epi16(+cospi_6_64,   cospi_26_64);
+  const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64,  cospi_6_64);
+  const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64,  cospi_22_64);
+  const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64,  cospi_14_64);
+  const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64,   cospi_30_64);
+  const __m128i k__cospi_p31_p01 = pair_set_epi16(+cospi_31_64,  cospi_1_64);
+  const __m128i k__cospi_p15_p17 = pair_set_epi16(+cospi_15_64,  cospi_17_64);
+  const __m128i k__cospi_p23_p09 = pair_set_epi16(+cospi_23_64,  cospi_9_64);
+  const __m128i k__cospi_p07_p25 = pair_set_epi16(+cospi_7_64,   cospi_25_64);
+  const __m128i k__cospi_m25_p07 = pair_set_epi16(-cospi_25_64,  cospi_7_64);
+  const __m128i k__cospi_m09_p23 = pair_set_epi16(-cospi_9_64,   cospi_23_64);
+  const __m128i k__cospi_m17_p15 = pair_set_epi16(-cospi_17_64,  cospi_15_64);
+  const __m128i k__cospi_m01_p31 = pair_set_epi16(-cospi_1_64,   cospi_31_64);
+  const __m128i k__cospi_p27_p05 = pair_set_epi16(+cospi_27_64,  cospi_5_64);
+  const __m128i k__cospi_p11_p21 = pair_set_epi16(+cospi_11_64,  cospi_21_64);
+  const __m128i k__cospi_p19_p13 = pair_set_epi16(+cospi_19_64,  cospi_13_64);
+  const __m128i k__cospi_p03_p29 = pair_set_epi16(+cospi_3_64,   cospi_29_64);
+  const __m128i k__cospi_m29_p03 = pair_set_epi16(-cospi_29_64,  cospi_3_64);
+  const __m128i k__cospi_m13_p19 = pair_set_epi16(-cospi_13_64,  cospi_19_64);
+  const __m128i k__cospi_m21_p11 = pair_set_epi16(-cospi_21_64,  cospi_11_64);
+  const __m128i k__cospi_m05_p27 = pair_set_epi16(-cospi_5_64,   cospi_27_64);
+  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
+  const __m128i kZero = _mm_set1_epi16(0);
+  const __m128i kOne  = _mm_set1_epi16(1);
+  // Do the two transform/transpose passes
+  int pass;
+  for (pass = 0; pass < 2; ++pass) {
+    // We process eight columns (transposed rows in second pass) at a time.
+    int column_start;
+    for (column_start = 0; column_start < 32; column_start += 8) {
+      __m128i step1[32];
+      __m128i step2[32];
+      __m128i step3[32];
+      __m128i out[32];
+      // Stage 1
+      // Note: even though all the loads below are aligned, using the aligned
+      //       intrinsic make the code slightly slower.
+      if (0 == pass) {
+        int16_t *in  = &input[column_start];
+        // step1[i] =  (in[ 0 * stride] + in[(32 -  1) * stride]) << 2;
+        // Note: the next four blocks could be in a loop. That would help the
+        //       instruction cache but is actually slower.
+        {
+          int16_t *ina =  in +  0 * str1;
+          int16_t *inb =  in + 31 * str1;
+          __m128i *step1a = &step1[ 0];
+          __m128i *step1b = &step1[31];
+          const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
+          const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
+          const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
+          const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
+          const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
+          const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
+          const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
+          const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
+          step1a[ 0] = _mm_add_epi16(ina0, inb0);
+          step1a[ 1] = _mm_add_epi16(ina1, inb1);
+          step1a[ 2] = _mm_add_epi16(ina2, inb2);
+          step1a[ 3] = _mm_add_epi16(ina3, inb3);
+          step1b[-3] = _mm_sub_epi16(ina3, inb3);
+          step1b[-2] = _mm_sub_epi16(ina2, inb2);
+          step1b[-1] = _mm_sub_epi16(ina1, inb1);
+          step1b[-0] = _mm_sub_epi16(ina0, inb0);
+          step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
+          step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
+          step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
+          step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
+          step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
+          step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
+          step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
+          step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
+        }
+        {
+          int16_t *ina =  in +  4 * str1;
+          int16_t *inb =  in + 27 * str1;
+          __m128i *step1a = &step1[ 4];
+          __m128i *step1b = &step1[27];
+          const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
+          const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
+          const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
+          const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
+          const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
+          const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
+          const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
+          const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
+          step1a[ 0] = _mm_add_epi16(ina0, inb0);
+          step1a[ 1] = _mm_add_epi16(ina1, inb1);
+          step1a[ 2] = _mm_add_epi16(ina2, inb2);
+          step1a[ 3] = _mm_add_epi16(ina3, inb3);
+          step1b[-3] = _mm_sub_epi16(ina3, inb3);
+          step1b[-2] = _mm_sub_epi16(ina2, inb2);
+          step1b[-1] = _mm_sub_epi16(ina1, inb1);
+          step1b[-0] = _mm_sub_epi16(ina0, inb0);
+          step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
+          step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
+          step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
+          step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
+          step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
+          step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
+          step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
+          step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
+        }
+        {
+          int16_t *ina =  in +  8 * str1;
+          int16_t *inb =  in + 23 * str1;
+          __m128i *step1a = &step1[ 8];
+          __m128i *step1b = &step1[23];
+          const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
+          const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
+          const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
+          const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
+          const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
+          const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
+          const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
+          const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
+          step1a[ 0] = _mm_add_epi16(ina0, inb0);
+          step1a[ 1] = _mm_add_epi16(ina1, inb1);
+          step1a[ 2] = _mm_add_epi16(ina2, inb2);
+          step1a[ 3] = _mm_add_epi16(ina3, inb3);
+          step1b[-3] = _mm_sub_epi16(ina3, inb3);
+          step1b[-2] = _mm_sub_epi16(ina2, inb2);
+          step1b[-1] = _mm_sub_epi16(ina1, inb1);
+          step1b[-0] = _mm_sub_epi16(ina0, inb0);
+          step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
+          step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
+          step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
+          step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
+          step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
+          step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
+          step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
+          step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
+        }
+        {
+          int16_t *ina =  in + 12 * str1;
+          int16_t *inb =  in + 19 * str1;
+          __m128i *step1a = &step1[12];
+          __m128i *step1b = &step1[19];
+          const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
+          const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
+          const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
+          const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
+          const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
+          const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
+          const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
+          const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
+          step1a[ 0] = _mm_add_epi16(ina0, inb0);
+          step1a[ 1] = _mm_add_epi16(ina1, inb1);
+          step1a[ 2] = _mm_add_epi16(ina2, inb2);
+          step1a[ 3] = _mm_add_epi16(ina3, inb3);
+          step1b[-3] = _mm_sub_epi16(ina3, inb3);
+          step1b[-2] = _mm_sub_epi16(ina2, inb2);
+          step1b[-1] = _mm_sub_epi16(ina1, inb1);
+          step1b[-0] = _mm_sub_epi16(ina0, inb0);
+          step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
+          step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
+          step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
+          step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
+          step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
+          step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
+          step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
+          step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
+        }
+      } else {
+        int16_t *in = &intermediate[column_start];
+        // step1[i] =  in[ 0 * 32] + in[(32 -  1) * 32];
+        // Note: using the same approach as above to have common offset is
+        //       counter-productive as all offsets can be calculated at compile
+        //       time.
+        // Note: the next four blocks could be in a loop. That would help the
+        //       instruction cache but is actually slower.
+        {
+          __m128i in00  = _mm_loadu_si128((const __m128i *)(in +  0 * 32));
+          __m128i in01  = _mm_loadu_si128((const __m128i *)(in +  1 * 32));
+          __m128i in02  = _mm_loadu_si128((const __m128i *)(in +  2 * 32));
+          __m128i in03  = _mm_loadu_si128((const __m128i *)(in +  3 * 32));
+          __m128i in28  = _mm_loadu_si128((const __m128i *)(in + 28 * 32));
+          __m128i in29  = _mm_loadu_si128((const __m128i *)(in + 29 * 32));
+          __m128i in30  = _mm_loadu_si128((const __m128i *)(in + 30 * 32));
+          __m128i in31  = _mm_loadu_si128((const __m128i *)(in + 31 * 32));
+          step1[ 0] = _mm_add_epi16(in00, in31);
+          step1[ 1] = _mm_add_epi16(in01, in30);
+          step1[ 2] = _mm_add_epi16(in02, in29);
+          step1[ 3] = _mm_add_epi16(in03, in28);
+          step1[28] = _mm_sub_epi16(in03, in28);
+          step1[29] = _mm_sub_epi16(in02, in29);
+          step1[30] = _mm_sub_epi16(in01, in30);
+          step1[31] = _mm_sub_epi16(in00, in31);
+        }
+        {
+          __m128i in04  = _mm_loadu_si128((const __m128i *)(in +  4 * 32));
+          __m128i in05  = _mm_loadu_si128((const __m128i *)(in +  5 * 32));
+          __m128i in06  = _mm_loadu_si128((const __m128i *)(in +  6 * 32));
+          __m128i in07  = _mm_loadu_si128((const __m128i *)(in +  7 * 32));
+          __m128i in24  = _mm_loadu_si128((const __m128i *)(in + 24 * 32));
+          __m128i in25  = _mm_loadu_si128((const __m128i *)(in + 25 * 32));
+          __m128i in26  = _mm_loadu_si128((const __m128i *)(in + 26 * 32));
+          __m128i in27  = _mm_loadu_si128((const __m128i *)(in + 27 * 32));
+          step1[ 4] = _mm_add_epi16(in04, in27);
+          step1[ 5] = _mm_add_epi16(in05, in26);
+          step1[ 6] = _mm_add_epi16(in06, in25);
+          step1[ 7] = _mm_add_epi16(in07, in24);
+          step1[24] = _mm_sub_epi16(in07, in24);
+          step1[25] = _mm_sub_epi16(in06, in25);
+          step1[26] = _mm_sub_epi16(in05, in26);
+          step1[27] = _mm_sub_epi16(in04, in27);
+        }
+        {
+          __m128i in08  = _mm_loadu_si128((const __m128i *)(in +  8 * 32));
+          __m128i in09  = _mm_loadu_si128((const __m128i *)(in +  9 * 32));
+          __m128i in10  = _mm_loadu_si128((const __m128i *)(in + 10 * 32));
+          __m128i in11  = _mm_loadu_si128((const __m128i *)(in + 11 * 32));
+          __m128i in20  = _mm_loadu_si128((const __m128i *)(in + 20 * 32));
+          __m128i in21  = _mm_loadu_si128((const __m128i *)(in + 21 * 32));
+          __m128i in22  = _mm_loadu_si128((const __m128i *)(in + 22 * 32));
+          __m128i in23  = _mm_loadu_si128((const __m128i *)(in + 23 * 32));
+          step1[ 8] = _mm_add_epi16(in08, in23);
+          step1[ 9] = _mm_add_epi16(in09, in22);
+          step1[10] = _mm_add_epi16(in10, in21);
+          step1[11] = _mm_add_epi16(in11, in20);
+          step1[20] = _mm_sub_epi16(in11, in20);
+          step1[21] = _mm_sub_epi16(in10, in21);
+          step1[22] = _mm_sub_epi16(in09, in22);
+          step1[23] = _mm_sub_epi16(in08, in23);
+        }
+        {
+          __m128i in12  = _mm_loadu_si128((const __m128i *)(in + 12 * 32));
+          __m128i in13  = _mm_loadu_si128((const __m128i *)(in + 13 * 32));
+          __m128i in14  = _mm_loadu_si128((const __m128i *)(in + 14 * 32));
+          __m128i in15  = _mm_loadu_si128((const __m128i *)(in + 15 * 32));
+          __m128i in16  = _mm_loadu_si128((const __m128i *)(in + 16 * 32));
+          __m128i in17  = _mm_loadu_si128((const __m128i *)(in + 17 * 32));
+          __m128i in18  = _mm_loadu_si128((const __m128i *)(in + 18 * 32));
+          __m128i in19  = _mm_loadu_si128((const __m128i *)(in + 19 * 32));
+          step1[12] = _mm_add_epi16(in12, in19);
+          step1[13] = _mm_add_epi16(in13, in18);
+          step1[14] = _mm_add_epi16(in14, in17);
+          step1[15] = _mm_add_epi16(in15, in16);
+          step1[16] = _mm_sub_epi16(in15, in16);
+          step1[17] = _mm_sub_epi16(in14, in17);
+          step1[18] = _mm_sub_epi16(in13, in18);
+          step1[19] = _mm_sub_epi16(in12, in19);
+        }
+      }
+      // Stage 2
+      {
+        step2[ 0] = _mm_add_epi16(step1[0], step1[15]);
+        step2[ 1] = _mm_add_epi16(step1[1], step1[14]);
+        step2[ 2] = _mm_add_epi16(step1[2], step1[13]);
+        step2[ 3] = _mm_add_epi16(step1[3], step1[12]);
+        step2[ 4] = _mm_add_epi16(step1[4], step1[11]);
+        step2[ 5] = _mm_add_epi16(step1[5], step1[10]);
+        step2[ 6] = _mm_add_epi16(step1[6], step1[ 9]);
+        step2[ 7] = _mm_add_epi16(step1[7], step1[ 8]);
+        step2[ 8] = _mm_sub_epi16(step1[7], step1[ 8]);
+        step2[ 9] = _mm_sub_epi16(step1[6], step1[ 9]);
+        step2[10] = _mm_sub_epi16(step1[5], step1[10]);
+        step2[11] = _mm_sub_epi16(step1[4], step1[11]);
+        step2[12] = _mm_sub_epi16(step1[3], step1[12]);
+        step2[13] = _mm_sub_epi16(step1[2], step1[13]);
+        step2[14] = _mm_sub_epi16(step1[1], step1[14]);
+        step2[15] = _mm_sub_epi16(step1[0], step1[15]);
+      }
+      {
+        const __m128i s2_20_0 = _mm_unpacklo_epi16(step1[27], step1[20]);
+        const __m128i s2_20_1 = _mm_unpackhi_epi16(step1[27], step1[20]);
+        const __m128i s2_21_0 = _mm_unpacklo_epi16(step1[26], step1[21]);
+        const __m128i s2_21_1 = _mm_unpackhi_epi16(step1[26], step1[21]);
+        const __m128i s2_22_0 = _mm_unpacklo_epi16(step1[25], step1[22]);
+        const __m128i s2_22_1 = _mm_unpackhi_epi16(step1[25], step1[22]);
+        const __m128i s2_23_0 = _mm_unpacklo_epi16(step1[24], step1[23]);
+        const __m128i s2_23_1 = _mm_unpackhi_epi16(step1[24], step1[23]);
+        const __m128i s2_20_2 = _mm_madd_epi16(s2_20_0, k__cospi_p16_m16);
+        const __m128i s2_20_3 = _mm_madd_epi16(s2_20_1, k__cospi_p16_m16);
+        const __m128i s2_21_2 = _mm_madd_epi16(s2_21_0, k__cospi_p16_m16);
+        const __m128i s2_21_3 = _mm_madd_epi16(s2_21_1, k__cospi_p16_m16);
+        const __m128i s2_22_2 = _mm_madd_epi16(s2_22_0, k__cospi_p16_m16);
+        const __m128i s2_22_3 = _mm_madd_epi16(s2_22_1, k__cospi_p16_m16);
+        const __m128i s2_23_2 = _mm_madd_epi16(s2_23_0, k__cospi_p16_m16);
+        const __m128i s2_23_3 = _mm_madd_epi16(s2_23_1, k__cospi_p16_m16);
+        const __m128i s2_24_2 = _mm_madd_epi16(s2_23_0, k__cospi_p16_p16);
+        const __m128i s2_24_3 = _mm_madd_epi16(s2_23_1, k__cospi_p16_p16);
+        const __m128i s2_25_2 = _mm_madd_epi16(s2_22_0, k__cospi_p16_p16);
+        const __m128i s2_25_3 = _mm_madd_epi16(s2_22_1, k__cospi_p16_p16);
+        const __m128i s2_26_2 = _mm_madd_epi16(s2_21_0, k__cospi_p16_p16);
+        const __m128i s2_26_3 = _mm_madd_epi16(s2_21_1, k__cospi_p16_p16);
+        const __m128i s2_27_2 = _mm_madd_epi16(s2_20_0, k__cospi_p16_p16);
+        const __m128i s2_27_3 = _mm_madd_epi16(s2_20_1, k__cospi_p16_p16);
+        // dct_const_round_shift
+        const __m128i s2_20_4 = _mm_add_epi32(s2_20_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_20_5 = _mm_add_epi32(s2_20_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_21_4 = _mm_add_epi32(s2_21_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_21_5 = _mm_add_epi32(s2_21_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_22_4 = _mm_add_epi32(s2_22_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_22_5 = _mm_add_epi32(s2_22_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_23_4 = _mm_add_epi32(s2_23_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_23_5 = _mm_add_epi32(s2_23_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_24_4 = _mm_add_epi32(s2_24_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_24_5 = _mm_add_epi32(s2_24_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_25_4 = _mm_add_epi32(s2_25_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_25_5 = _mm_add_epi32(s2_25_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_26_4 = _mm_add_epi32(s2_26_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_26_5 = _mm_add_epi32(s2_26_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_27_4 = _mm_add_epi32(s2_27_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_27_5 = _mm_add_epi32(s2_27_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_20_6 = _mm_srai_epi32(s2_20_4, DCT_CONST_BITS);
+        const __m128i s2_20_7 = _mm_srai_epi32(s2_20_5, DCT_CONST_BITS);
+        const __m128i s2_21_6 = _mm_srai_epi32(s2_21_4, DCT_CONST_BITS);
+        const __m128i s2_21_7 = _mm_srai_epi32(s2_21_5, DCT_CONST_BITS);
+        const __m128i s2_22_6 = _mm_srai_epi32(s2_22_4, DCT_CONST_BITS);
+        const __m128i s2_22_7 = _mm_srai_epi32(s2_22_5, DCT_CONST_BITS);
+        const __m128i s2_23_6 = _mm_srai_epi32(s2_23_4, DCT_CONST_BITS);
+        const __m128i s2_23_7 = _mm_srai_epi32(s2_23_5, DCT_CONST_BITS);
+        const __m128i s2_24_6 = _mm_srai_epi32(s2_24_4, DCT_CONST_BITS);
+        const __m128i s2_24_7 = _mm_srai_epi32(s2_24_5, DCT_CONST_BITS);
+        const __m128i s2_25_6 = _mm_srai_epi32(s2_25_4, DCT_CONST_BITS);
+        const __m128i s2_25_7 = _mm_srai_epi32(s2_25_5, DCT_CONST_BITS);
+        const __m128i s2_26_6 = _mm_srai_epi32(s2_26_4, DCT_CONST_BITS);
+        const __m128i s2_26_7 = _mm_srai_epi32(s2_26_5, DCT_CONST_BITS);
+        const __m128i s2_27_6 = _mm_srai_epi32(s2_27_4, DCT_CONST_BITS);
+        const __m128i s2_27_7 = _mm_srai_epi32(s2_27_5, DCT_CONST_BITS);
+        // Combine
+        step2[20] = _mm_packs_epi32(s2_20_6, s2_20_7);
+        step2[21] = _mm_packs_epi32(s2_21_6, s2_21_7);
+        step2[22] = _mm_packs_epi32(s2_22_6, s2_22_7);
+        step2[23] = _mm_packs_epi32(s2_23_6, s2_23_7);
+        step2[24] = _mm_packs_epi32(s2_24_6, s2_24_7);
+        step2[25] = _mm_packs_epi32(s2_25_6, s2_25_7);
+        step2[26] = _mm_packs_epi32(s2_26_6, s2_26_7);
+        step2[27] = _mm_packs_epi32(s2_27_6, s2_27_7);
+      }
+      // Stage 3
+      {
+        step3[0] = _mm_add_epi16(step2[(8 - 1)], step2[0]);
+        step3[1] = _mm_add_epi16(step2[(8 - 2)], step2[1]);
+        step3[2] = _mm_add_epi16(step2[(8 - 3)], step2[2]);
+        step3[3] = _mm_add_epi16(step2[(8 - 4)], step2[3]);
+        step3[4] = _mm_sub_epi16(step2[(8 - 5)], step2[4]);
+        step3[5] = _mm_sub_epi16(step2[(8 - 6)], step2[5]);
+        step3[6] = _mm_sub_epi16(step2[(8 - 7)], step2[6]);
+        step3[7] = _mm_sub_epi16(step2[(8 - 8)], step2[7]);
+      }
+      {
+        const __m128i s3_10_0 = _mm_unpacklo_epi16(step2[13], step2[10]);
+        const __m128i s3_10_1 = _mm_unpackhi_epi16(step2[13], step2[10]);
+        const __m128i s3_11_0 = _mm_unpacklo_epi16(step2[12], step2[11]);
+        const __m128i s3_11_1 = _mm_unpackhi_epi16(step2[12], step2[11]);
+        const __m128i s3_10_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_m16);
+        const __m128i s3_10_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_m16);
+        const __m128i s3_11_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_m16);
+        const __m128i s3_11_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_m16);
+        const __m128i s3_12_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_p16);
+        const __m128i s3_12_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_p16);
+        const __m128i s3_13_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_p16);
+        const __m128i s3_13_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_p16);
+        // dct_const_round_shift
+        const __m128i s3_10_4 = _mm_add_epi32(s3_10_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_10_5 = _mm_add_epi32(s3_10_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_11_4 = _mm_add_epi32(s3_11_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_11_5 = _mm_add_epi32(s3_11_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_12_4 = _mm_add_epi32(s3_12_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_12_5 = _mm_add_epi32(s3_12_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_13_4 = _mm_add_epi32(s3_13_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_13_5 = _mm_add_epi32(s3_13_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_10_6 = _mm_srai_epi32(s3_10_4, DCT_CONST_BITS);
+        const __m128i s3_10_7 = _mm_srai_epi32(s3_10_5, DCT_CONST_BITS);
+        const __m128i s3_11_6 = _mm_srai_epi32(s3_11_4, DCT_CONST_BITS);
+        const __m128i s3_11_7 = _mm_srai_epi32(s3_11_5, DCT_CONST_BITS);
+        const __m128i s3_12_6 = _mm_srai_epi32(s3_12_4, DCT_CONST_BITS);
+        const __m128i s3_12_7 = _mm_srai_epi32(s3_12_5, DCT_CONST_BITS);
+        const __m128i s3_13_6 = _mm_srai_epi32(s3_13_4, DCT_CONST_BITS);
+        const __m128i s3_13_7 = _mm_srai_epi32(s3_13_5, DCT_CONST_BITS);
+        // Combine
+        step3[10] = _mm_packs_epi32(s3_10_6, s3_10_7);
+        step3[11] = _mm_packs_epi32(s3_11_6, s3_11_7);
+        step3[12] = _mm_packs_epi32(s3_12_6, s3_12_7);
+        step3[13] = _mm_packs_epi32(s3_13_6, s3_13_7);
+      }
+      {
+        step3[16] = _mm_add_epi16(step2[23], step1[16]);
+        step3[17] = _mm_add_epi16(step2[22], step1[17]);
+        step3[18] = _mm_add_epi16(step2[21], step1[18]);
+        step3[19] = _mm_add_epi16(step2[20], step1[19]);
+        step3[20] = _mm_sub_epi16(step1[19], step2[20]);
+        step3[21] = _mm_sub_epi16(step1[18], step2[21]);
+        step3[22] = _mm_sub_epi16(step1[17], step2[22]);
+        step3[23] = _mm_sub_epi16(step1[16], step2[23]);
+        step3[24] = _mm_sub_epi16(step1[31], step2[24]);
+        step3[25] = _mm_sub_epi16(step1[30], step2[25]);
+        step3[26] = _mm_sub_epi16(step1[29], step2[26]);
+        step3[27] = _mm_sub_epi16(step1[28], step2[27]);
+        step3[28] = _mm_add_epi16(step2[27], step1[28]);
+        step3[29] = _mm_add_epi16(step2[26], step1[29]);
+        step3[30] = _mm_add_epi16(step2[25], step1[30]);
+        step3[31] = _mm_add_epi16(step2[24], step1[31]);
+      }
+      // dump the magnitude by half, hence the intermediate values are within
+      // the range of 16 bits.
+      if (1 == pass) {
+        __m128i s3_00_0 = _mm_cmplt_epi16(step3[ 0], kZero);
+        __m128i s3_01_0 = _mm_cmplt_epi16(step3[ 1], kZero);
+        __m128i s3_02_0 = _mm_cmplt_epi16(step3[ 2], kZero);
+        __m128i s3_03_0 = _mm_cmplt_epi16(step3[ 3], kZero);
+        __m128i s3_04_0 = _mm_cmplt_epi16(step3[ 4], kZero);
+        __m128i s3_05_0 = _mm_cmplt_epi16(step3[ 5], kZero);
+        __m128i s3_06_0 = _mm_cmplt_epi16(step3[ 6], kZero);
+        __m128i s3_07_0 = _mm_cmplt_epi16(step3[ 7], kZero);
+        __m128i s2_08_0 = _mm_cmplt_epi16(step2[ 8], kZero);
+        __m128i s2_09_0 = _mm_cmplt_epi16(step2[ 9], kZero);
+        __m128i s3_10_0 = _mm_cmplt_epi16(step3[10], kZero);
+        __m128i s3_11_0 = _mm_cmplt_epi16(step3[11], kZero);
+        __m128i s3_12_0 = _mm_cmplt_epi16(step3[12], kZero);
+        __m128i s3_13_0 = _mm_cmplt_epi16(step3[13], kZero);
+        __m128i s2_14_0 = _mm_cmplt_epi16(step2[14], kZero);
+        __m128i s2_15_0 = _mm_cmplt_epi16(step2[15], kZero);
+        __m128i s3_16_0 = _mm_cmplt_epi16(step3[16], kZero);
+        __m128i s3_17_0 = _mm_cmplt_epi16(step3[17], kZero);
+        __m128i s3_18_0 = _mm_cmplt_epi16(step3[18], kZero);
+        __m128i s3_19_0 = _mm_cmplt_epi16(step3[19], kZero);
+        __m128i s3_20_0 = _mm_cmplt_epi16(step3[20], kZero);
+        __m128i s3_21_0 = _mm_cmplt_epi16(step3[21], kZero);
+        __m128i s3_22_0 = _mm_cmplt_epi16(step3[22], kZero);
+        __m128i s3_23_0 = _mm_cmplt_epi16(step3[23], kZero);
+        __m128i s3_24_0 = _mm_cmplt_epi16(step3[24], kZero);
+        __m128i s3_25_0 = _mm_cmplt_epi16(step3[25], kZero);
+        __m128i s3_26_0 = _mm_cmplt_epi16(step3[26], kZero);
+        __m128i s3_27_0 = _mm_cmplt_epi16(step3[27], kZero);
+        __m128i s3_28_0 = _mm_cmplt_epi16(step3[28], kZero);
+        __m128i s3_29_0 = _mm_cmplt_epi16(step3[29], kZero);
+        __m128i s3_30_0 = _mm_cmplt_epi16(step3[30], kZero);
+        __m128i s3_31_0 = _mm_cmplt_epi16(step3[31], kZero);
+        step3[ 0] = _mm_sub_epi16(step3[ 0], s3_00_0);
+        step3[ 1] = _mm_sub_epi16(step3[ 1], s3_01_0);
+        step3[ 2] = _mm_sub_epi16(step3[ 2], s3_02_0);
+        step3[ 3] = _mm_sub_epi16(step3[ 3], s3_03_0);
+        step3[ 4] = _mm_sub_epi16(step3[ 4], s3_04_0);
+        step3[ 5] = _mm_sub_epi16(step3[ 5], s3_05_0);
+        step3[ 6] = _mm_sub_epi16(step3[ 6], s3_06_0);
+        step3[ 7] = _mm_sub_epi16(step3[ 7], s3_07_0);
+        step2[ 8] = _mm_sub_epi16(step2[ 8], s2_08_0);
+        step2[ 9] = _mm_sub_epi16(step2[ 9], s2_09_0);
+        step3[10] = _mm_sub_epi16(step3[10], s3_10_0);
+        step3[11] = _mm_sub_epi16(step3[11], s3_11_0);
+        step3[12] = _mm_sub_epi16(step3[12], s3_12_0);
+        step3[13] = _mm_sub_epi16(step3[13], s3_13_0);
+        step2[14] = _mm_sub_epi16(step2[14], s2_14_0);
+        step2[15] = _mm_sub_epi16(step2[15], s2_15_0);
+        step3[16] = _mm_sub_epi16(step3[16], s3_16_0);
+        step3[17] = _mm_sub_epi16(step3[17], s3_17_0);
+        step3[18] = _mm_sub_epi16(step3[18], s3_18_0);
+        step3[19] = _mm_sub_epi16(step3[19], s3_19_0);
+        step3[20] = _mm_sub_epi16(step3[20], s3_20_0);
+        step3[21] = _mm_sub_epi16(step3[21], s3_21_0);
+        step3[22] = _mm_sub_epi16(step3[22], s3_22_0);
+        step3[23] = _mm_sub_epi16(step3[23], s3_23_0);
+        step3[24] = _mm_sub_epi16(step3[24], s3_24_0);
+        step3[25] = _mm_sub_epi16(step3[25], s3_25_0);
+        step3[26] = _mm_sub_epi16(step3[26], s3_26_0);
+        step3[27] = _mm_sub_epi16(step3[27], s3_27_0);
+        step3[28] = _mm_sub_epi16(step3[28], s3_28_0);
+        step3[29] = _mm_sub_epi16(step3[29], s3_29_0);
+        step3[30] = _mm_sub_epi16(step3[30], s3_30_0);
+        step3[31] = _mm_sub_epi16(step3[31], s3_31_0);
+        step3[ 0] = _mm_add_epi16(step3[ 0], kOne);
+        step3[ 1] = _mm_add_epi16(step3[ 1], kOne);
+        step3[ 2] = _mm_add_epi16(step3[ 2], kOne);
+        step3[ 3] = _mm_add_epi16(step3[ 3], kOne);
+        step3[ 4] = _mm_add_epi16(step3[ 4], kOne);
+        step3[ 5] = _mm_add_epi16(step3[ 5], kOne);
+        step3[ 6] = _mm_add_epi16(step3[ 6], kOne);
+        step3[ 7] = _mm_add_epi16(step3[ 7], kOne);
+        step2[ 8] = _mm_add_epi16(step2[ 8], kOne);
+        step2[ 9] = _mm_add_epi16(step2[ 9], kOne);
+        step3[10] = _mm_add_epi16(step3[10], kOne);
+        step3[11] = _mm_add_epi16(step3[11], kOne);
+        step3[12] = _mm_add_epi16(step3[12], kOne);
+        step3[13] = _mm_add_epi16(step3[13], kOne);
+        step2[14] = _mm_add_epi16(step2[14], kOne);
+        step2[15] = _mm_add_epi16(step2[15], kOne);
+        step3[16] = _mm_add_epi16(step3[16], kOne);
+        step3[17] = _mm_add_epi16(step3[17], kOne);
+        step3[18] = _mm_add_epi16(step3[18], kOne);
+        step3[19] = _mm_add_epi16(step3[19], kOne);
+        step3[20] = _mm_add_epi16(step3[20], kOne);
+        step3[21] = _mm_add_epi16(step3[21], kOne);
+        step3[22] = _mm_add_epi16(step3[22], kOne);
+        step3[23] = _mm_add_epi16(step3[23], kOne);
+        step3[24] = _mm_add_epi16(step3[24], kOne);
+        step3[25] = _mm_add_epi16(step3[25], kOne);
+        step3[26] = _mm_add_epi16(step3[26], kOne);
+        step3[27] = _mm_add_epi16(step3[27], kOne);
+        step3[28] = _mm_add_epi16(step3[28], kOne);
+        step3[29] = _mm_add_epi16(step3[29], kOne);
+        step3[30] = _mm_add_epi16(step3[30], kOne);
+        step3[31] = _mm_add_epi16(step3[31], kOne);
+        step3[ 0] = _mm_srai_epi16(step3[ 0], 2);
+        step3[ 1] = _mm_srai_epi16(step3[ 1], 2);
+        step3[ 2] = _mm_srai_epi16(step3[ 2], 2);
+        step3[ 3] = _mm_srai_epi16(step3[ 3], 2);
+        step3[ 4] = _mm_srai_epi16(step3[ 4], 2);
+        step3[ 5] = _mm_srai_epi16(step3[ 5], 2);
+        step3[ 6] = _mm_srai_epi16(step3[ 6], 2);
+        step3[ 7] = _mm_srai_epi16(step3[ 7], 2);
+        step2[ 8] = _mm_srai_epi16(step2[ 8], 2);
+        step2[ 9] = _mm_srai_epi16(step2[ 9], 2);
+        step3[10] = _mm_srai_epi16(step3[10], 2);
+        step3[11] = _mm_srai_epi16(step3[11], 2);
+        step3[12] = _mm_srai_epi16(step3[12], 2);
+        step3[13] = _mm_srai_epi16(step3[13], 2);
+        step2[14] = _mm_srai_epi16(step2[14], 2);
+        step2[15] = _mm_srai_epi16(step2[15], 2);
+        step3[16] = _mm_srai_epi16(step3[16], 2);
+        step3[17] = _mm_srai_epi16(step3[17], 2);
+        step3[18] = _mm_srai_epi16(step3[18], 2);
+        step3[19] = _mm_srai_epi16(step3[19], 2);
+        step3[20] = _mm_srai_epi16(step3[20], 2);
+        step3[21] = _mm_srai_epi16(step3[21], 2);
+        step3[22] = _mm_srai_epi16(step3[22], 2);
+        step3[23] = _mm_srai_epi16(step3[23], 2);
+        step3[24] = _mm_srai_epi16(step3[24], 2);
+        step3[25] = _mm_srai_epi16(step3[25], 2);
+        step3[26] = _mm_srai_epi16(step3[26], 2);
+        step3[27] = _mm_srai_epi16(step3[27], 2);
+        step3[28] = _mm_srai_epi16(step3[28], 2);
+        step3[29] = _mm_srai_epi16(step3[29], 2);
+        step3[30] = _mm_srai_epi16(step3[30], 2);
+        step3[31] = _mm_srai_epi16(step3[31], 2);
+      }
+      // Stage 4
+      {
+        step1[ 0] = _mm_add_epi16(step3[ 3], step3[ 0]);
+        step1[ 1] = _mm_add_epi16(step3[ 2], step3[ 1]);
+        step1[ 2] = _mm_sub_epi16(step3[ 1], step3[ 2]);
+        step1[ 3] = _mm_sub_epi16(step3[ 0], step3[ 3]);
+        step1[ 8] = _mm_add_epi16(step3[11], step2[ 8]);
+        step1[ 9] = _mm_add_epi16(step3[10], step2[ 9]);
+        step1[10] = _mm_sub_epi16(step2[ 9], step3[10]);
+        step1[11] = _mm_sub_epi16(step2[ 8], step3[11]);
+        step1[12] = _mm_sub_epi16(step2[15], step3[12]);
+        step1[13] = _mm_sub_epi16(step2[14], step3[13]);
+        step1[14] = _mm_add_epi16(step3[13], step2[14]);
+        step1[15] = _mm_add_epi16(step3[12], step2[15]);
+      }
+      {
+        const __m128i s1_05_0 = _mm_unpacklo_epi16(step3[6], step3[5]);
+        const __m128i s1_05_1 = _mm_unpackhi_epi16(step3[6], step3[5]);
+        const __m128i s1_05_2 = _mm_madd_epi16(s1_05_0, k__cospi_p16_m16);
+        const __m128i s1_05_3 = _mm_madd_epi16(s1_05_1, k__cospi_p16_m16);
+        const __m128i s1_06_2 = _mm_madd_epi16(s1_05_0, k__cospi_p16_p16);
+        const __m128i s1_06_3 = _mm_madd_epi16(s1_05_1, k__cospi_p16_p16);
+        // dct_const_round_shift
+        const __m128i s1_05_4 = _mm_add_epi32(s1_05_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_05_5 = _mm_add_epi32(s1_05_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_06_4 = _mm_add_epi32(s1_06_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_06_5 = _mm_add_epi32(s1_06_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_05_6 = _mm_srai_epi32(s1_05_4, DCT_CONST_BITS);
+        const __m128i s1_05_7 = _mm_srai_epi32(s1_05_5, DCT_CONST_BITS);
+        const __m128i s1_06_6 = _mm_srai_epi32(s1_06_4, DCT_CONST_BITS);
+        const __m128i s1_06_7 = _mm_srai_epi32(s1_06_5, DCT_CONST_BITS);
+        // Combine
+        step1[5] = _mm_packs_epi32(s1_05_6, s1_05_7);
+        step1[6] = _mm_packs_epi32(s1_06_6, s1_06_7);
+      }
+      {
+        const __m128i s1_18_0 = _mm_unpacklo_epi16(step3[18], step3[29]);
+        const __m128i s1_18_1 = _mm_unpackhi_epi16(step3[18], step3[29]);
+        const __m128i s1_19_0 = _mm_unpacklo_epi16(step3[19], step3[28]);
+        const __m128i s1_19_1 = _mm_unpackhi_epi16(step3[19], step3[28]);
+        const __m128i s1_20_0 = _mm_unpacklo_epi16(step3[20], step3[27]);
+        const __m128i s1_20_1 = _mm_unpackhi_epi16(step3[20], step3[27]);
+        const __m128i s1_21_0 = _mm_unpacklo_epi16(step3[21], step3[26]);
+        const __m128i s1_21_1 = _mm_unpackhi_epi16(step3[21], step3[26]);
+        const __m128i s1_18_2 = _mm_madd_epi16(s1_18_0, k__cospi_m08_p24);
+        const __m128i s1_18_3 = _mm_madd_epi16(s1_18_1, k__cospi_m08_p24);
+        const __m128i s1_19_2 = _mm_madd_epi16(s1_19_0, k__cospi_m08_p24);
+        const __m128i s1_19_3 = _mm_madd_epi16(s1_19_1, k__cospi_m08_p24);
+        const __m128i s1_20_2 = _mm_madd_epi16(s1_20_0, k__cospi_m24_m08);
+        const __m128i s1_20_3 = _mm_madd_epi16(s1_20_1, k__cospi_m24_m08);
+        const __m128i s1_21_2 = _mm_madd_epi16(s1_21_0, k__cospi_m24_m08);
+        const __m128i s1_21_3 = _mm_madd_epi16(s1_21_1, k__cospi_m24_m08);
+        const __m128i s1_26_2 = _mm_madd_epi16(s1_21_0, k__cospi_m08_p24);
+        const __m128i s1_26_3 = _mm_madd_epi16(s1_21_1, k__cospi_m08_p24);
+        const __m128i s1_27_2 = _mm_madd_epi16(s1_20_0, k__cospi_m08_p24);
+        const __m128i s1_27_3 = _mm_madd_epi16(s1_20_1, k__cospi_m08_p24);
+        const __m128i s1_28_2 = _mm_madd_epi16(s1_19_0, k__cospi_p24_p08);
+        const __m128i s1_28_3 = _mm_madd_epi16(s1_19_1, k__cospi_p24_p08);
+        const __m128i s1_29_2 = _mm_madd_epi16(s1_18_0, k__cospi_p24_p08);
+        const __m128i s1_29_3 = _mm_madd_epi16(s1_18_1, k__cospi_p24_p08);
+        // dct_const_round_shift
+        const __m128i s1_18_4 = _mm_add_epi32(s1_18_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_18_5 = _mm_add_epi32(s1_18_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_19_4 = _mm_add_epi32(s1_19_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_19_5 = _mm_add_epi32(s1_19_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_20_4 = _mm_add_epi32(s1_20_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_20_5 = _mm_add_epi32(s1_20_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_21_4 = _mm_add_epi32(s1_21_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_21_5 = _mm_add_epi32(s1_21_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_26_4 = _mm_add_epi32(s1_26_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_26_5 = _mm_add_epi32(s1_26_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_27_4 = _mm_add_epi32(s1_27_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_27_5 = _mm_add_epi32(s1_27_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_28_4 = _mm_add_epi32(s1_28_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_28_5 = _mm_add_epi32(s1_28_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_29_4 = _mm_add_epi32(s1_29_2, k__DCT_CONST_ROUNDING);
+        const __m128i s1_29_5 = _mm_add_epi32(s1_29_3, k__DCT_CONST_ROUNDING);
+        const __m128i s1_18_6 = _mm_srai_epi32(s1_18_4, DCT_CONST_BITS);
+        const __m128i s1_18_7 = _mm_srai_epi32(s1_18_5, DCT_CONST_BITS);
+        const __m128i s1_19_6 = _mm_srai_epi32(s1_19_4, DCT_CONST_BITS);
+        const __m128i s1_19_7 = _mm_srai_epi32(s1_19_5, DCT_CONST_BITS);
+        const __m128i s1_20_6 = _mm_srai_epi32(s1_20_4, DCT_CONST_BITS);
+        const __m128i s1_20_7 = _mm_srai_epi32(s1_20_5, DCT_CONST_BITS);
+        const __m128i s1_21_6 = _mm_srai_epi32(s1_21_4, DCT_CONST_BITS);
+        const __m128i s1_21_7 = _mm_srai_epi32(s1_21_5, DCT_CONST_BITS);
+        const __m128i s1_26_6 = _mm_srai_epi32(s1_26_4, DCT_CONST_BITS);
+        const __m128i s1_26_7 = _mm_srai_epi32(s1_26_5, DCT_CONST_BITS);
+        const __m128i s1_27_6 = _mm_srai_epi32(s1_27_4, DCT_CONST_BITS);
+        const __m128i s1_27_7 = _mm_srai_epi32(s1_27_5, DCT_CONST_BITS);
+        const __m128i s1_28_6 = _mm_srai_epi32(s1_28_4, DCT_CONST_BITS);
+        const __m128i s1_28_7 = _mm_srai_epi32(s1_28_5, DCT_CONST_BITS);
+        const __m128i s1_29_6 = _mm_srai_epi32(s1_29_4, DCT_CONST_BITS);
+        const __m128i s1_29_7 = _mm_srai_epi32(s1_29_5, DCT_CONST_BITS);
+        // Combine
+        step1[18] = _mm_packs_epi32(s1_18_6, s1_18_7);
+        step1[19] = _mm_packs_epi32(s1_19_6, s1_19_7);
+        step1[20] = _mm_packs_epi32(s1_20_6, s1_20_7);
+        step1[21] = _mm_packs_epi32(s1_21_6, s1_21_7);
+        step1[26] = _mm_packs_epi32(s1_26_6, s1_26_7);
+        step1[27] = _mm_packs_epi32(s1_27_6, s1_27_7);
+        step1[28] = _mm_packs_epi32(s1_28_6, s1_28_7);
+        step1[29] = _mm_packs_epi32(s1_29_6, s1_29_7);
+      }
+      // Stage 5
+      {
+        step2[4] = _mm_add_epi16(step1[5], step3[4]);
+        step2[5] = _mm_sub_epi16(step3[4], step1[5]);
+        step2[6] = _mm_sub_epi16(step3[7], step1[6]);
+        step2[7] = _mm_add_epi16(step1[6], step3[7]);
+      }
+      {
+        const __m128i out_00_0 = _mm_unpacklo_epi16(step1[0], step1[1]);
+        const __m128i out_00_1 = _mm_unpackhi_epi16(step1[0], step1[1]);
+        const __m128i out_08_0 = _mm_unpacklo_epi16(step1[2], step1[3]);
+        const __m128i out_08_1 = _mm_unpackhi_epi16(step1[2], step1[3]);
+        const __m128i out_00_2 = _mm_madd_epi16(out_00_0, k__cospi_p16_p16);
+        const __m128i out_00_3 = _mm_madd_epi16(out_00_1, k__cospi_p16_p16);
+        const __m128i out_16_2 = _mm_madd_epi16(out_00_0, k__cospi_p16_m16);
+        const __m128i out_16_3 = _mm_madd_epi16(out_00_1, k__cospi_p16_m16);
+        const __m128i out_08_2 = _mm_madd_epi16(out_08_0, k__cospi_p24_p08);
+        const __m128i out_08_3 = _mm_madd_epi16(out_08_1, k__cospi_p24_p08);
+        const __m128i out_24_2 = _mm_madd_epi16(out_08_0, k__cospi_m08_p24);
+        const __m128i out_24_3 = _mm_madd_epi16(out_08_1, k__cospi_m08_p24);
+        // dct_const_round_shift
+        const __m128i out_00_4 = _mm_add_epi32(out_00_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_00_5 = _mm_add_epi32(out_00_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_16_4 = _mm_add_epi32(out_16_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_16_5 = _mm_add_epi32(out_16_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_08_4 = _mm_add_epi32(out_08_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_08_5 = _mm_add_epi32(out_08_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_24_4 = _mm_add_epi32(out_24_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_24_5 = _mm_add_epi32(out_24_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_00_6 = _mm_srai_epi32(out_00_4, DCT_CONST_BITS);
+        const __m128i out_00_7 = _mm_srai_epi32(out_00_5, DCT_CONST_BITS);
+        const __m128i out_16_6 = _mm_srai_epi32(out_16_4, DCT_CONST_BITS);
+        const __m128i out_16_7 = _mm_srai_epi32(out_16_5, DCT_CONST_BITS);
+        const __m128i out_08_6 = _mm_srai_epi32(out_08_4, DCT_CONST_BITS);
+        const __m128i out_08_7 = _mm_srai_epi32(out_08_5, DCT_CONST_BITS);
+        const __m128i out_24_6 = _mm_srai_epi32(out_24_4, DCT_CONST_BITS);
+        const __m128i out_24_7 = _mm_srai_epi32(out_24_5, DCT_CONST_BITS);
+        // Combine
+        out[ 0] = _mm_packs_epi32(out_00_6, out_00_7);
+        out[16] = _mm_packs_epi32(out_16_6, out_16_7);
+        out[ 8] = _mm_packs_epi32(out_08_6, out_08_7);
+        out[24] = _mm_packs_epi32(out_24_6, out_24_7);
+      }
+      {
+        const __m128i s2_09_0 = _mm_unpacklo_epi16(step1[ 9], step1[14]);
+        const __m128i s2_09_1 = _mm_unpackhi_epi16(step1[ 9], step1[14]);
+        const __m128i s2_10_0 = _mm_unpacklo_epi16(step1[10], step1[13]);
+        const __m128i s2_10_1 = _mm_unpackhi_epi16(step1[10], step1[13]);
+        const __m128i s2_09_2 = _mm_madd_epi16(s2_09_0, k__cospi_m08_p24);
+        const __m128i s2_09_3 = _mm_madd_epi16(s2_09_1, k__cospi_m08_p24);
+        const __m128i s2_10_2 = _mm_madd_epi16(s2_10_0, k__cospi_m24_m08);
+        const __m128i s2_10_3 = _mm_madd_epi16(s2_10_1, k__cospi_m24_m08);
+        const __m128i s2_13_2 = _mm_madd_epi16(s2_10_0, k__cospi_m08_p24);
+        const __m128i s2_13_3 = _mm_madd_epi16(s2_10_1, k__cospi_m08_p24);
+        const __m128i s2_14_2 = _mm_madd_epi16(s2_09_0, k__cospi_p24_p08);
+        const __m128i s2_14_3 = _mm_madd_epi16(s2_09_1, k__cospi_p24_p08);
+        // dct_const_round_shift
+        const __m128i s2_09_4 = _mm_add_epi32(s2_09_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_09_5 = _mm_add_epi32(s2_09_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_10_4 = _mm_add_epi32(s2_10_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_10_5 = _mm_add_epi32(s2_10_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_13_4 = _mm_add_epi32(s2_13_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_13_5 = _mm_add_epi32(s2_13_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_14_4 = _mm_add_epi32(s2_14_2, k__DCT_CONST_ROUNDING);
+        const __m128i s2_14_5 = _mm_add_epi32(s2_14_3, k__DCT_CONST_ROUNDING);
+        const __m128i s2_09_6 = _mm_srai_epi32(s2_09_4, DCT_CONST_BITS);
+        const __m128i s2_09_7 = _mm_srai_epi32(s2_09_5, DCT_CONST_BITS);
+        const __m128i s2_10_6 = _mm_srai_epi32(s2_10_4, DCT_CONST_BITS);
+        const __m128i s2_10_7 = _mm_srai_epi32(s2_10_5, DCT_CONST_BITS);
+        const __m128i s2_13_6 = _mm_srai_epi32(s2_13_4, DCT_CONST_BITS);
+        const __m128i s2_13_7 = _mm_srai_epi32(s2_13_5, DCT_CONST_BITS);
+        const __m128i s2_14_6 = _mm_srai_epi32(s2_14_4, DCT_CONST_BITS);
+        const __m128i s2_14_7 = _mm_srai_epi32(s2_14_5, DCT_CONST_BITS);
+        // Combine
+        step2[ 9] = _mm_packs_epi32(s2_09_6, s2_09_7);
+        step2[10] = _mm_packs_epi32(s2_10_6, s2_10_7);
+        step2[13] = _mm_packs_epi32(s2_13_6, s2_13_7);
+        step2[14] = _mm_packs_epi32(s2_14_6, s2_14_7);
+      }
+      {
+        step2[16] = _mm_add_epi16(step1[19], step3[16]);
+        step2[17] = _mm_add_epi16(step1[18], step3[17]);
+        step2[18] = _mm_sub_epi16(step3[17], step1[18]);
+        step2[19] = _mm_sub_epi16(step3[16], step1[19]);
+        step2[20] = _mm_sub_epi16(step3[23], step1[20]);
+        step2[21] = _mm_sub_epi16(step3[22], step1[21]);
+        step2[22] = _mm_add_epi16(step1[21], step3[22]);
+        step2[23] = _mm_add_epi16(step1[20], step3[23]);
+        step2[24] = _mm_add_epi16(step1[27], step3[24]);
+        step2[25] = _mm_add_epi16(step1[26], step3[25]);
+        step2[26] = _mm_sub_epi16(step3[25], step1[26]);
+        step2[27] = _mm_sub_epi16(step3[24], step1[27]);
+        step2[28] = _mm_sub_epi16(step3[31], step1[28]);
+        step2[29] = _mm_sub_epi16(step3[30], step1[29]);
+        step2[30] = _mm_add_epi16(step1[29], step3[30]);
+        step2[31] = _mm_add_epi16(step1[28], step3[31]);
+      }
+      // Stage 6
+      {
+        const __m128i out_04_0 = _mm_unpacklo_epi16(step2[4], step2[7]);
+        const __m128i out_04_1 = _mm_unpackhi_epi16(step2[4], step2[7]);
+        const __m128i out_20_0 = _mm_unpacklo_epi16(step2[5], step2[6]);
+        const __m128i out_20_1 = _mm_unpackhi_epi16(step2[5], step2[6]);
+        const __m128i out_12_0 = _mm_unpacklo_epi16(step2[5], step2[6]);
+        const __m128i out_12_1 = _mm_unpackhi_epi16(step2[5], step2[6]);
+        const __m128i out_28_0 = _mm_unpacklo_epi16(step2[4], step2[7]);
+        const __m128i out_28_1 = _mm_unpackhi_epi16(step2[4], step2[7]);
+        const __m128i out_04_2 = _mm_madd_epi16(out_04_0, k__cospi_p28_p04);
+        const __m128i out_04_3 = _mm_madd_epi16(out_04_1, k__cospi_p28_p04);
+        const __m128i out_20_2 = _mm_madd_epi16(out_20_0, k__cospi_p12_p20);
+        const __m128i out_20_3 = _mm_madd_epi16(out_20_1, k__cospi_p12_p20);
+        const __m128i out_12_2 = _mm_madd_epi16(out_12_0, k__cospi_m20_p12);
+        const __m128i out_12_3 = _mm_madd_epi16(out_12_1, k__cospi_m20_p12);
+        const __m128i out_28_2 = _mm_madd_epi16(out_28_0, k__cospi_m04_p28);
+        const __m128i out_28_3 = _mm_madd_epi16(out_28_1, k__cospi_m04_p28);
+        // dct_const_round_shift
+        const __m128i out_04_4 = _mm_add_epi32(out_04_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_04_5 = _mm_add_epi32(out_04_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_20_4 = _mm_add_epi32(out_20_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_20_5 = _mm_add_epi32(out_20_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_12_4 = _mm_add_epi32(out_12_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_12_5 = _mm_add_epi32(out_12_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_28_4 = _mm_add_epi32(out_28_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_28_5 = _mm_add_epi32(out_28_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_04_6 = _mm_srai_epi32(out_04_4, DCT_CONST_BITS);
+        const __m128i out_04_7 = _mm_srai_epi32(out_04_5, DCT_CONST_BITS);
+        const __m128i out_20_6 = _mm_srai_epi32(out_20_4, DCT_CONST_BITS);
+        const __m128i out_20_7 = _mm_srai_epi32(out_20_5, DCT_CONST_BITS);
+        const __m128i out_12_6 = _mm_srai_epi32(out_12_4, DCT_CONST_BITS);
+        const __m128i out_12_7 = _mm_srai_epi32(out_12_5, DCT_CONST_BITS);
+        const __m128i out_28_6 = _mm_srai_epi32(out_28_4, DCT_CONST_BITS);
+        const __m128i out_28_7 = _mm_srai_epi32(out_28_5, DCT_CONST_BITS);
+        // Combine
+        out[ 4] = _mm_packs_epi32(out_04_6, out_04_7);
+        out[20] = _mm_packs_epi32(out_20_6, out_20_7);
+        out[12] = _mm_packs_epi32(out_12_6, out_12_7);
+        out[28] = _mm_packs_epi32(out_28_6, out_28_7);
+      }
+      {
+        step3[ 8] = _mm_add_epi16(step2[ 9], step1[ 8]);
+        step3[ 9] = _mm_sub_epi16(step1[ 8], step2[ 9]);
+        step3[10] = _mm_sub_epi16(step1[11], step2[10]);
+        step3[11] = _mm_add_epi16(step2[10], step1[11]);
+        step3[12] = _mm_add_epi16(step2[13], step1[12]);
+        step3[13] = _mm_sub_epi16(step1[12], step2[13]);
+        step3[14] = _mm_sub_epi16(step1[15], step2[14]);
+        step3[15] = _mm_add_epi16(step2[14], step1[15]);
+      }
+      {
+        const __m128i s3_17_0 = _mm_unpacklo_epi16(step2[17], step2[30]);
+        const __m128i s3_17_1 = _mm_unpackhi_epi16(step2[17], step2[30]);
+        const __m128i s3_18_0 = _mm_unpacklo_epi16(step2[18], step2[29]);
+        const __m128i s3_18_1 = _mm_unpackhi_epi16(step2[18], step2[29]);
+        const __m128i s3_21_0 = _mm_unpacklo_epi16(step2[21], step2[26]);
+        const __m128i s3_21_1 = _mm_unpackhi_epi16(step2[21], step2[26]);
+        const __m128i s3_22_0 = _mm_unpacklo_epi16(step2[22], step2[25]);
+        const __m128i s3_22_1 = _mm_unpackhi_epi16(step2[22], step2[25]);
+        const __m128i s3_17_2 = _mm_madd_epi16(s3_17_0, k__cospi_m04_p28);
+        const __m128i s3_17_3 = _mm_madd_epi16(s3_17_1, k__cospi_m04_p28);
+        const __m128i s3_18_2 = _mm_madd_epi16(s3_18_0, k__cospi_m28_m04);
+        const __m128i s3_18_3 = _mm_madd_epi16(s3_18_1, k__cospi_m28_m04);
+        const __m128i s3_21_2 = _mm_madd_epi16(s3_21_0, k__cospi_m20_p12);
+        const __m128i s3_21_3 = _mm_madd_epi16(s3_21_1, k__cospi_m20_p12);
+        const __m128i s3_22_2 = _mm_madd_epi16(s3_22_0, k__cospi_m12_m20);
+        const __m128i s3_22_3 = _mm_madd_epi16(s3_22_1, k__cospi_m12_m20);
+        const __m128i s3_25_2 = _mm_madd_epi16(s3_22_0, k__cospi_m20_p12);
+        const __m128i s3_25_3 = _mm_madd_epi16(s3_22_1, k__cospi_m20_p12);
+        const __m128i s3_26_2 = _mm_madd_epi16(s3_21_0, k__cospi_p12_p20);
+        const __m128i s3_26_3 = _mm_madd_epi16(s3_21_1, k__cospi_p12_p20);
+        const __m128i s3_29_2 = _mm_madd_epi16(s3_18_0, k__cospi_m04_p28);
+        const __m128i s3_29_3 = _mm_madd_epi16(s3_18_1, k__cospi_m04_p28);
+        const __m128i s3_30_2 = _mm_madd_epi16(s3_17_0, k__cospi_p28_p04);
+        const __m128i s3_30_3 = _mm_madd_epi16(s3_17_1, k__cospi_p28_p04);
+        // dct_const_round_shift
+        const __m128i s3_17_4 = _mm_add_epi32(s3_17_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_17_5 = _mm_add_epi32(s3_17_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_18_4 = _mm_add_epi32(s3_18_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_18_5 = _mm_add_epi32(s3_18_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_21_4 = _mm_add_epi32(s3_21_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_21_5 = _mm_add_epi32(s3_21_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_22_4 = _mm_add_epi32(s3_22_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_22_5 = _mm_add_epi32(s3_22_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_17_6 = _mm_srai_epi32(s3_17_4, DCT_CONST_BITS);
+        const __m128i s3_17_7 = _mm_srai_epi32(s3_17_5, DCT_CONST_BITS);
+        const __m128i s3_18_6 = _mm_srai_epi32(s3_18_4, DCT_CONST_BITS);
+        const __m128i s3_18_7 = _mm_srai_epi32(s3_18_5, DCT_CONST_BITS);
+        const __m128i s3_21_6 = _mm_srai_epi32(s3_21_4, DCT_CONST_BITS);
+        const __m128i s3_21_7 = _mm_srai_epi32(s3_21_5, DCT_CONST_BITS);
+        const __m128i s3_22_6 = _mm_srai_epi32(s3_22_4, DCT_CONST_BITS);
+        const __m128i s3_22_7 = _mm_srai_epi32(s3_22_5, DCT_CONST_BITS);
+        const __m128i s3_25_4 = _mm_add_epi32(s3_25_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_25_5 = _mm_add_epi32(s3_25_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_26_4 = _mm_add_epi32(s3_26_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_26_5 = _mm_add_epi32(s3_26_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_29_4 = _mm_add_epi32(s3_29_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_29_5 = _mm_add_epi32(s3_29_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_30_4 = _mm_add_epi32(s3_30_2, k__DCT_CONST_ROUNDING);
+        const __m128i s3_30_5 = _mm_add_epi32(s3_30_3, k__DCT_CONST_ROUNDING);
+        const __m128i s3_25_6 = _mm_srai_epi32(s3_25_4, DCT_CONST_BITS);
+        const __m128i s3_25_7 = _mm_srai_epi32(s3_25_5, DCT_CONST_BITS);
+        const __m128i s3_26_6 = _mm_srai_epi32(s3_26_4, DCT_CONST_BITS);
+        const __m128i s3_26_7 = _mm_srai_epi32(s3_26_5, DCT_CONST_BITS);
+        const __m128i s3_29_6 = _mm_srai_epi32(s3_29_4, DCT_CONST_BITS);
+        const __m128i s3_29_7 = _mm_srai_epi32(s3_29_5, DCT_CONST_BITS);
+        const __m128i s3_30_6 = _mm_srai_epi32(s3_30_4, DCT_CONST_BITS);
+        const __m128i s3_30_7 = _mm_srai_epi32(s3_30_5, DCT_CONST_BITS);
+        // Combine
+        step3[17] = _mm_packs_epi32(s3_17_6, s3_17_7);
+        step3[18] = _mm_packs_epi32(s3_18_6, s3_18_7);
+        step3[21] = _mm_packs_epi32(s3_21_6, s3_21_7);
+        step3[22] = _mm_packs_epi32(s3_22_6, s3_22_7);
+        // Combine
+        step3[25] = _mm_packs_epi32(s3_25_6, s3_25_7);
+        step3[26] = _mm_packs_epi32(s3_26_6, s3_26_7);
+        step3[29] = _mm_packs_epi32(s3_29_6, s3_29_7);
+        step3[30] = _mm_packs_epi32(s3_30_6, s3_30_7);
+      }
+      // Stage 7
+      {
+        const __m128i out_02_0 = _mm_unpacklo_epi16(step3[ 8], step3[15]);
+        const __m128i out_02_1 = _mm_unpackhi_epi16(step3[ 8], step3[15]);
+        const __m128i out_18_0 = _mm_unpacklo_epi16(step3[ 9], step3[14]);
+        const __m128i out_18_1 = _mm_unpackhi_epi16(step3[ 9], step3[14]);
+        const __m128i out_10_0 = _mm_unpacklo_epi16(step3[10], step3[13]);
+        const __m128i out_10_1 = _mm_unpackhi_epi16(step3[10], step3[13]);
+        const __m128i out_26_0 = _mm_unpacklo_epi16(step3[11], step3[12]);
+        const __m128i out_26_1 = _mm_unpackhi_epi16(step3[11], step3[12]);
+        const __m128i out_02_2 = _mm_madd_epi16(out_02_0, k__cospi_p30_p02);
+        const __m128i out_02_3 = _mm_madd_epi16(out_02_1, k__cospi_p30_p02);
+        const __m128i out_18_2 = _mm_madd_epi16(out_18_0, k__cospi_p14_p18);
+        const __m128i out_18_3 = _mm_madd_epi16(out_18_1, k__cospi_p14_p18);
+        const __m128i out_10_2 = _mm_madd_epi16(out_10_0, k__cospi_p22_p10);
+        const __m128i out_10_3 = _mm_madd_epi16(out_10_1, k__cospi_p22_p10);
+        const __m128i out_26_2 = _mm_madd_epi16(out_26_0, k__cospi_p06_p26);
+        const __m128i out_26_3 = _mm_madd_epi16(out_26_1, k__cospi_p06_p26);
+        const __m128i out_06_2 = _mm_madd_epi16(out_26_0, k__cospi_m26_p06);
+        const __m128i out_06_3 = _mm_madd_epi16(out_26_1, k__cospi_m26_p06);
+        const __m128i out_22_2 = _mm_madd_epi16(out_10_0, k__cospi_m10_p22);
+        const __m128i out_22_3 = _mm_madd_epi16(out_10_1, k__cospi_m10_p22);
+        const __m128i out_14_2 = _mm_madd_epi16(out_18_0, k__cospi_m18_p14);
+        const __m128i out_14_3 = _mm_madd_epi16(out_18_1, k__cospi_m18_p14);
+        const __m128i out_30_2 = _mm_madd_epi16(out_02_0, k__cospi_m02_p30);
+        const __m128i out_30_3 = _mm_madd_epi16(out_02_1, k__cospi_m02_p30);
+        // dct_const_round_shift
+        const __m128i out_02_4 = _mm_add_epi32(out_02_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_02_5 = _mm_add_epi32(out_02_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_18_4 = _mm_add_epi32(out_18_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_18_5 = _mm_add_epi32(out_18_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_10_4 = _mm_add_epi32(out_10_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_10_5 = _mm_add_epi32(out_10_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_26_4 = _mm_add_epi32(out_26_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_26_5 = _mm_add_epi32(out_26_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_06_4 = _mm_add_epi32(out_06_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_06_5 = _mm_add_epi32(out_06_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_22_4 = _mm_add_epi32(out_22_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_22_5 = _mm_add_epi32(out_22_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_14_4 = _mm_add_epi32(out_14_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_14_5 = _mm_add_epi32(out_14_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_30_4 = _mm_add_epi32(out_30_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_30_5 = _mm_add_epi32(out_30_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_02_6 = _mm_srai_epi32(out_02_4, DCT_CONST_BITS);
+        const __m128i out_02_7 = _mm_srai_epi32(out_02_5, DCT_CONST_BITS);
+        const __m128i out_18_6 = _mm_srai_epi32(out_18_4, DCT_CONST_BITS);
+        const __m128i out_18_7 = _mm_srai_epi32(out_18_5, DCT_CONST_BITS);
+        const __m128i out_10_6 = _mm_srai_epi32(out_10_4, DCT_CONST_BITS);
+        const __m128i out_10_7 = _mm_srai_epi32(out_10_5, DCT_CONST_BITS);
+        const __m128i out_26_6 = _mm_srai_epi32(out_26_4, DCT_CONST_BITS);
+        const __m128i out_26_7 = _mm_srai_epi32(out_26_5, DCT_CONST_BITS);
+        const __m128i out_06_6 = _mm_srai_epi32(out_06_4, DCT_CONST_BITS);
+        const __m128i out_06_7 = _mm_srai_epi32(out_06_5, DCT_CONST_BITS);
+        const __m128i out_22_6 = _mm_srai_epi32(out_22_4, DCT_CONST_BITS);
+        const __m128i out_22_7 = _mm_srai_epi32(out_22_5, DCT_CONST_BITS);
+        const __m128i out_14_6 = _mm_srai_epi32(out_14_4, DCT_CONST_BITS);
+        const __m128i out_14_7 = _mm_srai_epi32(out_14_5, DCT_CONST_BITS);
+        const __m128i out_30_6 = _mm_srai_epi32(out_30_4, DCT_CONST_BITS);
+        const __m128i out_30_7 = _mm_srai_epi32(out_30_5, DCT_CONST_BITS);
+        // Combine
+        out[ 2] = _mm_packs_epi32(out_02_6, out_02_7);
+        out[18] = _mm_packs_epi32(out_18_6, out_18_7);
+        out[10] = _mm_packs_epi32(out_10_6, out_10_7);
+        out[26] = _mm_packs_epi32(out_26_6, out_26_7);
+        out[ 6] = _mm_packs_epi32(out_06_6, out_06_7);
+        out[22] = _mm_packs_epi32(out_22_6, out_22_7);
+        out[14] = _mm_packs_epi32(out_14_6, out_14_7);
+        out[30] = _mm_packs_epi32(out_30_6, out_30_7);
+      }
+      {
+        step1[16] = _mm_add_epi16(step3[17], step2[16]);
+        step1[17] = _mm_sub_epi16(step2[16], step3[17]);
+        step1[18] = _mm_sub_epi16(step2[19], step3[18]);
+        step1[19] = _mm_add_epi16(step3[18], step2[19]);
+        step1[20] = _mm_add_epi16(step3[21], step2[20]);
+        step1[21] = _mm_sub_epi16(step2[20], step3[21]);
+        step1[22] = _mm_sub_epi16(step2[23], step3[22]);
+        step1[23] = _mm_add_epi16(step3[22], step2[23]);
+        step1[24] = _mm_add_epi16(step3[25], step2[24]);
+        step1[25] = _mm_sub_epi16(step2[24], step3[25]);
+        step1[26] = _mm_sub_epi16(step2[27], step3[26]);
+        step1[27] = _mm_add_epi16(step3[26], step2[27]);
+        step1[28] = _mm_add_epi16(step3[29], step2[28]);
+        step1[29] = _mm_sub_epi16(step2[28], step3[29]);
+        step1[30] = _mm_sub_epi16(step2[31], step3[30]);
+        step1[31] = _mm_add_epi16(step3[30], step2[31]);
+      }
+      // Final stage --- outputs indices are bit-reversed.
+      {
+        const __m128i out_01_0 = _mm_unpacklo_epi16(step1[16], step1[31]);
+        const __m128i out_01_1 = _mm_unpackhi_epi16(step1[16], step1[31]);
+        const __m128i out_17_0 = _mm_unpacklo_epi16(step1[17], step1[30]);
+        const __m128i out_17_1 = _mm_unpackhi_epi16(step1[17], step1[30]);
+        const __m128i out_09_0 = _mm_unpacklo_epi16(step1[18], step1[29]);
+        const __m128i out_09_1 = _mm_unpackhi_epi16(step1[18], step1[29]);
+        const __m128i out_25_0 = _mm_unpacklo_epi16(step1[19], step1[28]);
+        const __m128i out_25_1 = _mm_unpackhi_epi16(step1[19], step1[28]);
+        const __m128i out_01_2 = _mm_madd_epi16(out_01_0, k__cospi_p31_p01);
+        const __m128i out_01_3 = _mm_madd_epi16(out_01_1, k__cospi_p31_p01);
+        const __m128i out_17_2 = _mm_madd_epi16(out_17_0, k__cospi_p15_p17);
+        const __m128i out_17_3 = _mm_madd_epi16(out_17_1, k__cospi_p15_p17);
+        const __m128i out_09_2 = _mm_madd_epi16(out_09_0, k__cospi_p23_p09);
+        const __m128i out_09_3 = _mm_madd_epi16(out_09_1, k__cospi_p23_p09);
+        const __m128i out_25_2 = _mm_madd_epi16(out_25_0, k__cospi_p07_p25);
+        const __m128i out_25_3 = _mm_madd_epi16(out_25_1, k__cospi_p07_p25);
+        const __m128i out_07_2 = _mm_madd_epi16(out_25_0, k__cospi_m25_p07);
+        const __m128i out_07_3 = _mm_madd_epi16(out_25_1, k__cospi_m25_p07);
+        const __m128i out_23_2 = _mm_madd_epi16(out_09_0, k__cospi_m09_p23);
+        const __m128i out_23_3 = _mm_madd_epi16(out_09_1, k__cospi_m09_p23);
+        const __m128i out_15_2 = _mm_madd_epi16(out_17_0, k__cospi_m17_p15);
+        const __m128i out_15_3 = _mm_madd_epi16(out_17_1, k__cospi_m17_p15);
+        const __m128i out_31_2 = _mm_madd_epi16(out_01_0, k__cospi_m01_p31);
+        const __m128i out_31_3 = _mm_madd_epi16(out_01_1, k__cospi_m01_p31);
+        // dct_const_round_shift
+        const __m128i out_01_4 = _mm_add_epi32(out_01_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_01_5 = _mm_add_epi32(out_01_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_17_4 = _mm_add_epi32(out_17_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_17_5 = _mm_add_epi32(out_17_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_09_4 = _mm_add_epi32(out_09_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_09_5 = _mm_add_epi32(out_09_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_25_4 = _mm_add_epi32(out_25_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_25_5 = _mm_add_epi32(out_25_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_07_4 = _mm_add_epi32(out_07_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_07_5 = _mm_add_epi32(out_07_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_23_4 = _mm_add_epi32(out_23_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_23_5 = _mm_add_epi32(out_23_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_15_4 = _mm_add_epi32(out_15_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_15_5 = _mm_add_epi32(out_15_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_31_4 = _mm_add_epi32(out_31_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_31_5 = _mm_add_epi32(out_31_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_01_6 = _mm_srai_epi32(out_01_4, DCT_CONST_BITS);
+        const __m128i out_01_7 = _mm_srai_epi32(out_01_5, DCT_CONST_BITS);
+        const __m128i out_17_6 = _mm_srai_epi32(out_17_4, DCT_CONST_BITS);
+        const __m128i out_17_7 = _mm_srai_epi32(out_17_5, DCT_CONST_BITS);
+        const __m128i out_09_6 = _mm_srai_epi32(out_09_4, DCT_CONST_BITS);
+        const __m128i out_09_7 = _mm_srai_epi32(out_09_5, DCT_CONST_BITS);
+        const __m128i out_25_6 = _mm_srai_epi32(out_25_4, DCT_CONST_BITS);
+        const __m128i out_25_7 = _mm_srai_epi32(out_25_5, DCT_CONST_BITS);
+        const __m128i out_07_6 = _mm_srai_epi32(out_07_4, DCT_CONST_BITS);
+        const __m128i out_07_7 = _mm_srai_epi32(out_07_5, DCT_CONST_BITS);
+        const __m128i out_23_6 = _mm_srai_epi32(out_23_4, DCT_CONST_BITS);
+        const __m128i out_23_7 = _mm_srai_epi32(out_23_5, DCT_CONST_BITS);
+        const __m128i out_15_6 = _mm_srai_epi32(out_15_4, DCT_CONST_BITS);
+        const __m128i out_15_7 = _mm_srai_epi32(out_15_5, DCT_CONST_BITS);
+        const __m128i out_31_6 = _mm_srai_epi32(out_31_4, DCT_CONST_BITS);
+        const __m128i out_31_7 = _mm_srai_epi32(out_31_5, DCT_CONST_BITS);
+        // Combine
+        out[ 1] = _mm_packs_epi32(out_01_6, out_01_7);
+        out[17] = _mm_packs_epi32(out_17_6, out_17_7);
+        out[ 9] = _mm_packs_epi32(out_09_6, out_09_7);
+        out[25] = _mm_packs_epi32(out_25_6, out_25_7);
+        out[ 7] = _mm_packs_epi32(out_07_6, out_07_7);
+        out[23] = _mm_packs_epi32(out_23_6, out_23_7);
+        out[15] = _mm_packs_epi32(out_15_6, out_15_7);
+        out[31] = _mm_packs_epi32(out_31_6, out_31_7);
+      }
+      {
+        const __m128i out_05_0 = _mm_unpacklo_epi16(step1[20], step1[27]);
+        const __m128i out_05_1 = _mm_unpackhi_epi16(step1[20], step1[27]);
+        const __m128i out_21_0 = _mm_unpacklo_epi16(step1[21], step1[26]);
+        const __m128i out_21_1 = _mm_unpackhi_epi16(step1[21], step1[26]);
+        const __m128i out_13_0 = _mm_unpacklo_epi16(step1[22], step1[25]);
+        const __m128i out_13_1 = _mm_unpackhi_epi16(step1[22], step1[25]);
+        const __m128i out_29_0 = _mm_unpacklo_epi16(step1[23], step1[24]);
+        const __m128i out_29_1 = _mm_unpackhi_epi16(step1[23], step1[24]);
+        const __m128i out_05_2 = _mm_madd_epi16(out_05_0, k__cospi_p27_p05);
+        const __m128i out_05_3 = _mm_madd_epi16(out_05_1, k__cospi_p27_p05);
+        const __m128i out_21_2 = _mm_madd_epi16(out_21_0, k__cospi_p11_p21);
+        const __m128i out_21_3 = _mm_madd_epi16(out_21_1, k__cospi_p11_p21);
+        const __m128i out_13_2 = _mm_madd_epi16(out_13_0, k__cospi_p19_p13);
+        const __m128i out_13_3 = _mm_madd_epi16(out_13_1, k__cospi_p19_p13);
+        const __m128i out_29_2 = _mm_madd_epi16(out_29_0, k__cospi_p03_p29);
+        const __m128i out_29_3 = _mm_madd_epi16(out_29_1, k__cospi_p03_p29);
+        const __m128i out_03_2 = _mm_madd_epi16(out_29_0, k__cospi_m29_p03);
+        const __m128i out_03_3 = _mm_madd_epi16(out_29_1, k__cospi_m29_p03);
+        const __m128i out_19_2 = _mm_madd_epi16(out_13_0, k__cospi_m13_p19);
+        const __m128i out_19_3 = _mm_madd_epi16(out_13_1, k__cospi_m13_p19);
+        const __m128i out_11_2 = _mm_madd_epi16(out_21_0, k__cospi_m21_p11);
+        const __m128i out_11_3 = _mm_madd_epi16(out_21_1, k__cospi_m21_p11);
+        const __m128i out_27_2 = _mm_madd_epi16(out_05_0, k__cospi_m05_p27);
+        const __m128i out_27_3 = _mm_madd_epi16(out_05_1, k__cospi_m05_p27);
+        // dct_const_round_shift
+        const __m128i out_05_4 = _mm_add_epi32(out_05_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_05_5 = _mm_add_epi32(out_05_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_21_4 = _mm_add_epi32(out_21_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_21_5 = _mm_add_epi32(out_21_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_13_4 = _mm_add_epi32(out_13_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_13_5 = _mm_add_epi32(out_13_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_29_4 = _mm_add_epi32(out_29_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_29_5 = _mm_add_epi32(out_29_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_03_4 = _mm_add_epi32(out_03_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_03_5 = _mm_add_epi32(out_03_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_19_4 = _mm_add_epi32(out_19_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_19_5 = _mm_add_epi32(out_19_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_11_4 = _mm_add_epi32(out_11_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_11_5 = _mm_add_epi32(out_11_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_27_4 = _mm_add_epi32(out_27_2, k__DCT_CONST_ROUNDING);
+        const __m128i out_27_5 = _mm_add_epi32(out_27_3, k__DCT_CONST_ROUNDING);
+        const __m128i out_05_6 = _mm_srai_epi32(out_05_4, DCT_CONST_BITS);
+        const __m128i out_05_7 = _mm_srai_epi32(out_05_5, DCT_CONST_BITS);
+        const __m128i out_21_6 = _mm_srai_epi32(out_21_4, DCT_CONST_BITS);
+        const __m128i out_21_7 = _mm_srai_epi32(out_21_5, DCT_CONST_BITS);
+        const __m128i out_13_6 = _mm_srai_epi32(out_13_4, DCT_CONST_BITS);
+        const __m128i out_13_7 = _mm_srai_epi32(out_13_5, DCT_CONST_BITS);
+        const __m128i out_29_6 = _mm_srai_epi32(out_29_4, DCT_CONST_BITS);
+        const __m128i out_29_7 = _mm_srai_epi32(out_29_5, DCT_CONST_BITS);
+        const __m128i out_03_6 = _mm_srai_epi32(out_03_4, DCT_CONST_BITS);
+        const __m128i out_03_7 = _mm_srai_epi32(out_03_5, DCT_CONST_BITS);
+        const __m128i out_19_6 = _mm_srai_epi32(out_19_4, DCT_CONST_BITS);
+        const __m128i out_19_7 = _mm_srai_epi32(out_19_5, DCT_CONST_BITS);
+        const __m128i out_11_6 = _mm_srai_epi32(out_11_4, DCT_CONST_BITS);
+        const __m128i out_11_7 = _mm_srai_epi32(out_11_5, DCT_CONST_BITS);
+        const __m128i out_27_6 = _mm_srai_epi32(out_27_4, DCT_CONST_BITS);
+        const __m128i out_27_7 = _mm_srai_epi32(out_27_5, DCT_CONST_BITS);
+        // Combine
+        out[ 5] = _mm_packs_epi32(out_05_6, out_05_7);
+        out[21] = _mm_packs_epi32(out_21_6, out_21_7);
+        out[13] = _mm_packs_epi32(out_13_6, out_13_7);
+        out[29] = _mm_packs_epi32(out_29_6, out_29_7);
+        out[ 3] = _mm_packs_epi32(out_03_6, out_03_7);
+        out[19] = _mm_packs_epi32(out_19_6, out_19_7);
+        out[11] = _mm_packs_epi32(out_11_6, out_11_7);
+        out[27] = _mm_packs_epi32(out_27_6, out_27_7);
+      }
+      // Transpose the results, do it as four 8x8 transposes.
+      {
+        int transpose_block;
+        int16_t *output;
+        if (0 == pass) {
+          output = &intermediate[column_start * 32];
+        } else {
+          output = &output_org[column_start * 32];
+        }
+        for (transpose_block = 0; transpose_block < 4; ++transpose_block) {
+          __m128i *this_out = &out[8 * transpose_block];
+          // 00 01 02 03 04 05 06 07
+          // 10 11 12 13 14 15 16 17
+          // 20 21 22 23 24 25 26 27
+          // 30 31 32 33 34 35 36 37
+          // 40 41 42 43 44 45 46 47
+          // 50 51 52 53 54 55 56 57
+          // 60 61 62 63 64 65 66 67
+          // 70 71 72 73 74 75 76 77
+          const __m128i tr0_0 = _mm_unpacklo_epi16(this_out[0], this_out[1]);
+          const __m128i tr0_1 = _mm_unpacklo_epi16(this_out[2], this_out[3]);
+          const __m128i tr0_2 = _mm_unpackhi_epi16(this_out[0], this_out[1]);
+          const __m128i tr0_3 = _mm_unpackhi_epi16(this_out[2], this_out[3]);
+          const __m128i tr0_4 = _mm_unpacklo_epi16(this_out[4], this_out[5]);
+          const __m128i tr0_5 = _mm_unpacklo_epi16(this_out[6], this_out[7]);
+          const __m128i tr0_6 = _mm_unpackhi_epi16(this_out[4], this_out[5]);
+          const __m128i tr0_7 = _mm_unpackhi_epi16(this_out[6], this_out[7]);
+          // 00 10 01 11 02 12 03 13
+          // 20 30 21 31 22 32 23 33
+          // 04 14 05 15 06 16 07 17
+          // 24 34 25 35 26 36 27 37
+          // 40 50 41 51 42 52 43 53
+          // 60 70 61 71 62 72 63 73
+          // 54 54 55 55 56 56 57 57
+          // 64 74 65 75 66 76 67 77
+          const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
+          const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);
+          const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
+          const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);
+          const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);
+          const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
+          const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);
+          const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
+          // 00 10 20 30 01 11 21 31
+          // 40 50 60 70 41 51 61 71
+          // 02 12 22 32 03 13 23 33
+          // 42 52 62 72 43 53 63 73
+          // 04 14 24 34 05 15 21 36
+          // 44 54 64 74 45 55 61 76
+          // 06 16 26 36 07 17 27 37
+          // 46 56 66 76 47 57 67 77
+          __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);
+          __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);
+          __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);
+          __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);
+          __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);
+          __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);
+          __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);
+          __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);
+          // 00 10 20 30 40 50 60 70
+          // 01 11 21 31 41 51 61 71
+          // 02 12 22 32 42 52 62 72
+          // 03 13 23 33 43 53 63 73
+          // 04 14 24 34 44 54 64 74
+          // 05 15 25 35 45 55 65 75
+          // 06 16 26 36 46 56 66 76
+          // 07 17 27 37 47 57 67 77
+          if (0 == pass) {
+            // output[j] = (output[j] + 1 + (output[j] > 0)) >> 2;
+            // TODO(cd): see quality impact of only doing
+            //           output[j] = (output[j] + 1) >> 2;
+            //           which would remove the code between here ...
+            __m128i tr2_0_0 = _mm_cmpgt_epi16(tr2_0, kZero);
+            __m128i tr2_1_0 = _mm_cmpgt_epi16(tr2_1, kZero);
+            __m128i tr2_2_0 = _mm_cmpgt_epi16(tr2_2, kZero);
+            __m128i tr2_3_0 = _mm_cmpgt_epi16(tr2_3, kZero);
+            __m128i tr2_4_0 = _mm_cmpgt_epi16(tr2_4, kZero);
+            __m128i tr2_5_0 = _mm_cmpgt_epi16(tr2_5, kZero);
+            __m128i tr2_6_0 = _mm_cmpgt_epi16(tr2_6, kZero);
+            __m128i tr2_7_0 = _mm_cmpgt_epi16(tr2_7, kZero);
+            tr2_0 = _mm_sub_epi16(tr2_0, tr2_0_0);
+            tr2_1 = _mm_sub_epi16(tr2_1, tr2_1_0);
+            tr2_2 = _mm_sub_epi16(tr2_2, tr2_2_0);
+            tr2_3 = _mm_sub_epi16(tr2_3, tr2_3_0);
+            tr2_4 = _mm_sub_epi16(tr2_4, tr2_4_0);
+            tr2_5 = _mm_sub_epi16(tr2_5, tr2_5_0);
+            tr2_6 = _mm_sub_epi16(tr2_6, tr2_6_0);
+            tr2_7 = _mm_sub_epi16(tr2_7, tr2_7_0);
+            //           ... and here.
+            //           PS: also change code in vp9/encoder/vp9_dct.c
+            tr2_0 = _mm_add_epi16(tr2_0, kOne);
+            tr2_1 = _mm_add_epi16(tr2_1, kOne);
+            tr2_2 = _mm_add_epi16(tr2_2, kOne);
+            tr2_3 = _mm_add_epi16(tr2_3, kOne);
+            tr2_4 = _mm_add_epi16(tr2_4, kOne);
+            tr2_5 = _mm_add_epi16(tr2_5, kOne);
+            tr2_6 = _mm_add_epi16(tr2_6, kOne);
+            tr2_7 = _mm_add_epi16(tr2_7, kOne);
+            tr2_0 = _mm_srai_epi16(tr2_0, 2);
+            tr2_1 = _mm_srai_epi16(tr2_1, 2);
+            tr2_2 = _mm_srai_epi16(tr2_2, 2);
+            tr2_3 = _mm_srai_epi16(tr2_3, 2);
+            tr2_4 = _mm_srai_epi16(tr2_4, 2);
+            tr2_5 = _mm_srai_epi16(tr2_5, 2);
+            tr2_6 = _mm_srai_epi16(tr2_6, 2);
+            tr2_7 = _mm_srai_epi16(tr2_7, 2);
+          }
+          // Note: even though all these stores are aligned, using the aligned
+          //       intrinsic make the code slightly slower.
+          _mm_storeu_si128((__m128i *)(output + 0 * 32), tr2_0);
+          _mm_storeu_si128((__m128i *)(output + 1 * 32), tr2_1);
+          _mm_storeu_si128((__m128i *)(output + 2 * 32), tr2_2);
+          _mm_storeu_si128((__m128i *)(output + 3 * 32), tr2_3);
+          _mm_storeu_si128((__m128i *)(output + 4 * 32), tr2_4);
+          _mm_storeu_si128((__m128i *)(output + 5 * 32), tr2_5);
+          _mm_storeu_si128((__m128i *)(output + 6 * 32), tr2_6);
+          _mm_storeu_si128((__m128i *)(output + 7 * 32), tr2_7);
+          // Process next 8x8
+          output += 8;
+        }
+      }
+    }
+  }
+}