Add CONFIG_DAALA_DCT8 experiment.

This experiment replaces the 8-point Type-II DCT and 8-point Type-IV DST
 scaling vp9 transforms with the 8-point orthonormal Daala transforms.
These have reduced complexity and are perfect reconstruction at the cost
 of a slightly worse coding performance.
This is because the Daala transforms expect the input to be shifted by 4
 bits but the output scale of the vp9 transforms is only 3 bits.

subset-1:

monty-square-baseline-subset1 ->
  monty-square-dct8-subset1@2017-07-17T21:37:44.281Z

  PSNR | PSNR Cb | PSNR Cr | PSNR HVS |   SSIM | MS SSIM | CIEDE 2000
0.0019 | -0.0011 | -0.0585 |  -0.0111 | 0.0305 |  0.0317 |     0.0187

objective-1-fast:

monty-square-baseline-o1f ->
  monty-square-dct8-o1f@2017-07-17T21:37:15.735Z

  PSNR | PSNR Cb | PSNR Cr | PSNR HVS |   SSIM | MS SSIM | CIEDE 2000
0.0285 |  0.0129 | -0.5080 |   0.0529 | 0.0345 |  0.0441 |     0.0054

Change-Id: I2b775495398fb717204a295397c3c5e3ca938183
diff --git a/av1/common/daala_tx.c b/av1/common/daala_tx.c
index 32ad568..31f03de 100644
--- a/av1/common/daala_tx.c
+++ b/av1/common/daala_tx.c
@@ -11,6 +11,33 @@
 #  define OD_DCT_OVERFLOW_CHECK(val, scale, offset, idx)
 # endif
 
+#define OD_FDCT_2(p0, p1) \
+  /* Embedded 2-point orthonormal Type-II fDCT. */ \
+  do { \
+    /* 13573/32768 ~= Tan[pi/8] ~= 0.414213562373095 */ \
+    OD_DCT_OVERFLOW_CHECK(p1, 13573, 16384, 100); \
+    p0 -= (p1*13573 + 16384) >> 15; \
+    /* 5793/8192 ~= Sin[pi/4] ~= 0.707106781186547 */ \
+    OD_DCT_OVERFLOW_CHECK(p0, 5793, 4096, 101); \
+    p1 += (p0*5793 + 4096) >> 13; \
+    /* 3393/8192 ~= Tan[pi/8] ~= 0.414213562373095 */ \
+    OD_DCT_OVERFLOW_CHECK(p1, 3393, 4096, 102); \
+    p0 -= (p1*3393 + 4096) >> 13; \
+  } \
+  while (0)
+
+#define OD_IDCT_2(p0, p1) \
+  /* Embedded 2-point orthonormal Type-II iDCT. */ \
+  do { \
+    /* 3393/8192 ~= Tan[pi/8] ~= 0.414213562373095 */ \
+    p0 += (p1*3393 + 4096) >> 13; \
+    /* 5793/8192 ~= Sin[pi/4] ~= 0.707106781186547 */ \
+    p1 -= (p0*5793 + 4096) >> 13; \
+    /* 13573/32768 ~= Tan[pi/8] ~= 0.414213562373095 */ \
+    p0 += (p1*13573 + 16384) >> 15; \
+  } \
+  while (0)
+
 #define OD_FDCT_2_ASYM(p0, p1, p1h) \
   /* Embedded 2-point asymmetric Type-II fDCT. */ \
   do { \
@@ -28,6 +55,33 @@
   } \
   while (0)
 
+#define OD_FDST_2(p0, p1) \
+  /* Embedded 2-point orthonormal Type-IV fDST. */ \
+  do { \
+    /* 10947/16384 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    OD_DCT_OVERFLOW_CHECK(p1, 10947, 8192, 103); \
+    p0 -= (p1*10947 + 8192) >> 14; \
+    /* 473/512 ~= Sin[3*Pi/8] ~= 0.923879532511287 */ \
+    OD_DCT_OVERFLOW_CHECK(p0, 473, 256, 104); \
+    p1 += (p0*473 + 256) >> 9; \
+    /* 10947/16384 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    OD_DCT_OVERFLOW_CHECK(p1, 10947, 8192, 105); \
+    p0 -= (p1*10947 + 8192) >> 14; \
+  } \
+  while (0)
+
+#define OD_IDST_2(p0, p1) \
+  /* Embedded 2-point orthonormal Type-IV iDST. */ \
+  do { \
+    /* 10947/16384 ~= Tan[3*Pi/16]) ~= 0.668178637919299 */ \
+    p0 += (p1*10947 + 8192) >> 14; \
+    /* 473/512 ~= Sin[3*Pi/8] ~= 0.923879532511287 */ \
+    p1 -= (p0*473 + 256) >> 9; \
+    /* 10947/16384 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    p0 += (p1*10947 + 8192) >> 14; \
+  } \
+  while (0)
+
 #define OD_FDST_2_ASYM(p0, p1) \
   /* Embedded 2-point asymmetric Type-IV fDST. */ \
   do { \
@@ -86,6 +140,312 @@
   } \
   while (0)
 
+#define OD_FDCT_4_ASYM(q0, q2, q2h, q1, q3, q3h) \
+  /* Embedded 4-point asymmetric Type-II fDCT. */ \
+  do { \
+    q0 += q3h; \
+    q3 = q0 - q3; \
+    q1 = q2h - q1; \
+    q2 = q1 - q2; \
+    OD_FDCT_2(q0, q2); \
+    OD_FDST_2(q3, q1); \
+  } \
+  while (0)
+
+#define OD_IDCT_4_ASYM(q0, q2, q1, q1h, q3, q3h) \
+  /* Embedded 4-point asymmetric Type-II iDCT. */ \
+  do { \
+    OD_IDST_2(q3, q2); \
+    OD_IDCT_2(q0, q1); \
+    q1 = q2 - q1; \
+    q1h = OD_DCT_RSHIFT(q1, 1); \
+    q2 = q1h - q2; \
+    q3 = q0 - q3; \
+    q3h = OD_DCT_RSHIFT(q3, 1); \
+    q0 -= q3h; \
+  } \
+  while (0)
+
+#define OD_FDST_4_ASYM(t0, t0h, t2, t1, t3) \
+  /* Embedded 4-point asymmetric Type-IV fDST. */ \
+  do { \
+    /* 7489/8192 ~= Tan[Pi/8] + Tan[Pi/4]/2 ~= 0.914213562373095 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 7489, 4096, 106); \
+    t2 -= (t1*7489 + 4096) >> 13; \
+    /* 11585/16384 ~= Sin[Pi/4] ~= 0.707106781186548 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 11585, 8192, 107); \
+    t1 += (t2*11585 + 8192) >> 14; \
+    /* -19195/32768 ~= Tan[Pi/8] - Tan[Pi/4] ~= -0.585786437626905 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 19195, 16384, 108); \
+    t2 += (t1*19195 + 16384) >> 15; \
+    t3 += OD_DCT_RSHIFT(t2, 1); \
+    t2 -= t3; \
+    t1 = t0h - t1; \
+    t0 -= t1; \
+    /* 6723/8192 ~= Tan[7*Pi/32] ~= 0.820678790828660 */ \
+    OD_DCT_OVERFLOW_CHECK(t0, 6723, 4096, 109); \
+    t3 += (t0*6723 + 4096) >> 13; \
+    /* 8035/8192 ~= Sin[7*Pi/16] ~= 0.980785280403230 */ \
+    OD_DCT_OVERFLOW_CHECK(t3, 8035, 4096, 110); \
+    t0 -= (t3*8035 + 4096) >> 13; \
+    /* 6723/8192 ~= Tan[7*Pi/32] ~= 0.820678790828660 */ \
+    OD_DCT_OVERFLOW_CHECK(t0, 6723, 4096, 111); \
+    t3 += (t0*6723 + 4096) >> 13; \
+    /* 8757/16384 ~= Tan[5*Pi/32] ~= 0.534511135950792 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 8757, 8192, 112); \
+    t2 += (t1*8757 + 8192) >> 14; \
+    /* 6811/8192 ~= Sin[5*Pi/16] ~= 0.831469612302545 */ \
+    OD_DCT_OVERFLOW_CHECK(t2, 6811, 4096, 113); \
+    t1 -= (t2*6811 + 4096) >> 13; \
+    /* 8757/16384 ~= Tan[5*Pi/32] ~= 0.534511135950792 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 8757, 8192, 114); \
+    t2 += (t1*8757 + 8192) >> 14; \
+  } \
+  while (0)
+
+#define OD_IDST_4_ASYM(t0, t0h, t2, t1, t3) \
+  /* Embedded 4-point asymmetric Type-IV iDST. */ \
+  do { \
+    /* 8757/16384 ~= Tan[5*Pi/32] ~= 0.534511135950792 */ \
+    t1 -= (t2*8757 + 8192) >> 14; \
+    /* 6811/8192 ~= Sin[5*Pi/16] ~= 0.831469612302545 */ \
+    t2 += (t1*6811 + 4096) >> 13; \
+    /* 8757/16384 ~= Tan[5*Pi/32] ~= 0.534511135950792 */ \
+    t1 -= (t2*8757 + 8192) >> 14; \
+    /* 6723/8192 ~= Tan[7*Pi/32] ~= 0.820678790828660 */ \
+    t3 -= (t0*6723 + 4096) >> 13; \
+    /* 8035/8192 ~= Sin[7*Pi/16] ~= 0.980785280403230 */ \
+    t0 += (t3*8035 + 4096) >> 13; \
+    /* 6723/8192 ~= Tan[7*Pi/32] ~= 0.820678790828660 */ \
+    t3 -= (t0*6723 + 4096) >> 13; \
+    t0 += t2; \
+    t0h = OD_DCT_RSHIFT(t0, 1); \
+    t2 = t0h - t2; \
+    t1 += t3; \
+    t3 -= OD_DCT_RSHIFT(t1, 1); \
+    /* -19195/32768 ~= Tan[Pi/8] - Tan[Pi/4] ~= -0.585786437626905 */ \
+    t1 -= (t2*19195 + 16384) >> 15; \
+    /* 11585/16384 ~= Sin[Pi/4] ~= 0.707106781186548 */ \
+    t2 -= (t1*11585 + 8192) >> 14; \
+    /* 7489/8192 ~= Tan[Pi/8] + Tan[Pi/4]/2 ~= 0.914213562373095 */ \
+    t1 += (t2*7489 + 4096) >> 13; \
+  } \
+  while (0)
+
+#define OD_FDCT_8(r0, r4, r2, r6, r1, r5, r3, r7) \
+  /* Embedded 8-point orthonormal Type-II fDCT. */ \
+  do { \
+    int r4h; \
+    int r5h; \
+    int r6h; \
+    int r7h; \
+    r7 = r0 - r7; \
+    r7h = OD_DCT_RSHIFT(r7, 1); \
+    r0 -= r7h; \
+    r6 += r1; \
+    r6h = OD_DCT_RSHIFT(r6, 1); \
+    r1 = r6h - r1; \
+    r5 = r2 - r5; \
+    r5h = OD_DCT_RSHIFT(r5, 1); \
+    r2 -= r5h; \
+    r4 += r3; \
+    r4h = OD_DCT_RSHIFT(r4, 1); \
+    r3 = r4h - r3; \
+    OD_FDCT_4_ASYM(r0, r4, r4h, r2, r6, r6h); \
+    OD_FDST_4_ASYM(r7, r7h, r3, r5, r1); \
+  } \
+  while (0)
+
+#define OD_IDCT_8(r0, r4, r2, r6, r1, r5, r3, r7) \
+  /* Embedded 8-point orthonormal Type-II iDCT. */ \
+  do { \
+    int r1h; \
+    int r3h; \
+    int r5h; \
+    int r7h; \
+    OD_IDST_4_ASYM(r7, r7h, r5, r6, r4); \
+    OD_IDCT_4_ASYM(r0, r2, r1, r1h, r3, r3h); \
+    r0 += r7h; \
+    r7 = r0 - r7; \
+    r6 = r1h - r6; \
+    r1 -= r6; \
+    r5h = OD_DCT_RSHIFT(r5, 1); \
+    r2 += r5h; \
+    r5 = r2 - r5; \
+    r4 = r3h - r4; \
+    r3 -= r4; \
+  } \
+  while (0)
+
+#define OD_FDST_8(t0, t4, t2, t6, t1, t5, t3, t7) \
+  /* Embedded 8-point orthonormal Type-IV fDST. */ \
+  do { \
+    int t0h; \
+    int t2h; \
+    int t5h; \
+    int t7h; \
+    /* 13573/32768 ~= Tan[Pi/8] ~= 0.414213562373095 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 13573, 16384, 115); \
+    t6 -= (t1*13573 + 16384) >> 15; \
+    /* 11585/16384 ~= Sin[Pi/4] ~= 0.707106781186547 */ \
+    OD_DCT_OVERFLOW_CHECK(t6, 11585, 8192, 116); \
+    t1 += (t6*11585 + 8192) >> 14; \
+    /* 13573/32768 ~= Tan[Pi/8] ~= 0.414213562373095 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 13573, 16384, 117); \
+    t6 -= (t1*13573 + 16384) >> 15; \
+    /* 21895/32768 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    OD_DCT_OVERFLOW_CHECK(t2, 21895, 16384, 118); \
+    t5 -= (t2*21895 + 16384) >> 15; \
+    /* 15137/16384 ~= Sin[3*Pi/8] ~= 0.923879532511287 */ \
+    OD_DCT_OVERFLOW_CHECK(t5, 15137, 8192, 119); \
+    t2 += (t5*15137 + 8192) >> 14; \
+    /* 10947/16384 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    OD_DCT_OVERFLOW_CHECK(t2, 10947, 8192, 120); \
+    t5 -= (t2*10947 + 8192) >> 14; \
+    /* 3259/16384 ~= Tan[Pi/16] ~= 0.198912367379658 */ \
+    OD_DCT_OVERFLOW_CHECK(t3, 3259, 8192, 121); \
+    t4 -= (t3*3259 + 8192) >> 14; \
+    /* 3135/8192 ~= Sin[Pi/8] ~= 0.382683432365090 */ \
+    OD_DCT_OVERFLOW_CHECK(t4, 3135, 4096, 122); \
+    t3 += (t4*3135 + 4096) >> 13; \
+    /* 3259/16384 ~= Tan[Pi/16] ~= 0.198912367379658 */ \
+    OD_DCT_OVERFLOW_CHECK(t3, 3259, 8192, 123); \
+    t4 -= (t3*3259 + 8192) >> 14; \
+    t7 += t1; \
+    t7h = OD_DCT_RSHIFT(t7, 1); \
+    t1 -= t7h; \
+    t2 = t3 - t2; \
+    t2h = OD_DCT_RSHIFT(t2, 1); \
+    t3 -= t2h; \
+    t0 -= t6; \
+    t0h = OD_DCT_RSHIFT(t0, 1); \
+    t6 += t0h; \
+    t5 = t4 - t5; \
+    t5h = OD_DCT_RSHIFT(t5, 1); \
+    t4 -= t5h; \
+    t1 += t5h; \
+    t5 = t1 - t5; \
+    t4 += t0h; \
+    t0 -= t4; \
+    t6 -= t2h; \
+    t2 += t6; \
+    t3 -= t7h; \
+    t7 += t3; \
+    /* TODO: Can we move this into another operation */ \
+    t7 = -t7; \
+    /* 7425/8192 ~= Tan[15*Pi/64] ~= 0.906347169019147 */ \
+    OD_DCT_OVERFLOW_CHECK(t7, 7425, 4096, 124); \
+    t0 -= (t7*7425 + 4096) >> 13; \
+    /* 8153/8192 ~= Sin[15*Pi/32] ~= 0.995184726672197 */ \
+    OD_DCT_OVERFLOW_CHECK(t0, 8153, 4096, 125); \
+    t7 += (t0*8153 + 4096) >> 13; \
+    /* 7425/8192 ~= Tan[15*Pi/64] ~= 0.906347169019147 */ \
+    OD_DCT_OVERFLOW_CHECK(t7, 7425, 4096, 126); \
+    t0 -= (t7*7425 + 4096) >> 13; \
+    /* 4861/32768 ~= Tan[3*Pi/64] ~= 0.148335987538347 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 4861, 16384, 127); \
+    t6 -= (t1*4861 + 16384) >> 15; \
+    /* 1189/4096 ~= Sin[3*Pi/32] ~= 0.290284677254462 */ \
+    OD_DCT_OVERFLOW_CHECK(t6, 1189, 2048, 128); \
+    t1 += (t6*1189 + 2048) >> 12; \
+    /* 4861/32768 ~= Tan[3*Pi/64] ~= 0.148335987538347 */ \
+    OD_DCT_OVERFLOW_CHECK(t1, 4861, 16384, 129); \
+    t6 -= (t1*4861 + 16384) >> 15; \
+    /* 2455/4096 ~= Tan[11*Pi/64] ~= 0.599376933681924 */ \
+    OD_DCT_OVERFLOW_CHECK(t5, 2455, 2048, 130); \
+    t2 -= (t5*2455 + 2048) >> 12; \
+    /* 7225/8192 ~= Sin[11*Pi/32] ~= 0.881921264348355 */ \
+    OD_DCT_OVERFLOW_CHECK(t2, 7225, 4096, 131); \
+    t5 += (t2*7225 + 4096) >> 13; \
+    /* 2455/4096 ~= Tan[11*Pi/64] ~= 0.599376933681924 */ \
+    OD_DCT_OVERFLOW_CHECK(t5, 2455, 2048, 132); \
+    t2 -= (t5*2455 + 2048) >> 12; \
+    /* 11725/32768 ~= Tan[7*Pi/64] ~= 0.357805721314524 */ \
+    OD_DCT_OVERFLOW_CHECK(t3, 11725, 16384, 133); \
+    t4 -= (t3*11725 + 16384) >> 15; \
+    /* 5197/8192 ~= Sin[7*Pi/32] ~= 0.634393284163645 */ \
+    OD_DCT_OVERFLOW_CHECK(t4, 5197, 4096, 134); \
+    t3 += (t4*5197 + 4096) >> 13; \
+    /* 11725/32768 ~= Tan[7*Pi/64] ~= 0.357805721314524 */ \
+    OD_DCT_OVERFLOW_CHECK(t3, 11725, 16384, 135); \
+    t4 -= (t3*11725 + 16384) >> 15; \
+  } \
+  while (0)
+
+#define OD_IDST_8(t0, t4, t2, t6, t1, t5, t3, t7) \
+  /* Embedded 8-point orthonormal Type-IV iDST. */ \
+  do { \
+    int t0h; \
+    int t2h; \
+    int t5h_; \
+    int t7h_; \
+    /* 11725/32768 ~= Tan[7*Pi/64] ~= 0.357805721314524 */ \
+    t1 += (t6*11725 + 16384) >> 15; \
+    /* 5197/8192 ~= Sin[7*Pi/32] ~= 0.634393284163645 */ \
+    t6 -= (t1*5197 + 4096) >> 13; \
+    /* 11725/32768 ~= Tan[7*Pi/64] ~= 0.357805721314524 */ \
+    t1 += (t6*11725 + 16384) >> 15; \
+    /* 2455/4096 ~= Tan[11*Pi/64] ~= 0.599376933681924 */ \
+    t2 += (t5*2455 + 2048) >> 12; \
+    /* 7225/8192 ~= Sin[11*Pi/32] ~= 0.881921264348355 */ \
+    t5 -= (t2*7225 + 4096) >> 13; \
+    /* 2455/4096 ~= Tan[11*Pi/64] ~= 0.599376933681924 */ \
+    t2 += (t5*2455 + 2048) >> 12; \
+    /* 4861/32768 ~= Tan[3*Pi/64] ~= 0.148335987538347 */ \
+    t3 += (t4*4861 + 16384) >> 15; \
+    /* 1189/4096 ~= Sin[3*Pi/32] ~= 0.290284677254462 */ \
+    t4 -= (t3*1189 + 2048) >> 12; \
+    /* 4861/32768 ~= Tan[3*Pi/64] ~= 0.148335987538347 */ \
+    t3 += (t4*4861 + 16384) >> 15; \
+    /* 7425/8192 ~= Tan[15*Pi/64] ~= 0.906347169019147 */ \
+    t0 += (t7*7425 + 4096) >> 13; \
+    /* 8153/8192 ~= Sin[15*Pi/32] ~= 0.995184726672197 */ \
+    t7 -= (t0*8153 + 4096) >> 13; \
+    /* 7425/8192 ~= Tan[15*Pi/64] ~= 0.906347169019147 */ \
+    t0 += (t7*7425 + 4096) >> 13; \
+    /* TODO: Can we move this into another operation */ \
+    t7 = -t7; \
+    t7 -= t6; \
+    t7h_ = OD_DCT_RSHIFT(t7, 1); \
+    t6 += t7h_; \
+    t2 -= t3; \
+    t2h = OD_DCT_RSHIFT(t2, 1); \
+    t3 += t2h; \
+    t0 += t1; \
+    t0h = OD_DCT_RSHIFT(t0, 1); \
+    t1 -= t0h; \
+    t5 = t4 - t5; \
+    t5h_ = OD_DCT_RSHIFT(t5, 1); \
+    t4 -= t5h_; \
+    t1 += t5h_; \
+    t5 = t1 - t5; \
+    t3 -= t0h; \
+    t0 += t3; \
+    t6 += t2h; \
+    t2 = t6 - t2; \
+    t4 += t7h_; \
+    t7 -= t4; \
+    /* 3259/16384 ~= Tan[Pi/16] ~= 0.198912367379658 */ \
+    t1 += (t6*3259 + 8192) >> 14; \
+    /* 3135/8192 ~= Sin[Pi/8] ~= 0.382683432365090 */ \
+    t6 -= (t1*3135 + 4096) >> 13; \
+    /* 3259/16384 ~= Tan[Pi/16] ~= 0.198912367379658 */ \
+    t1 += (t6*3259 + 8192) >> 14; \
+    /* 10947/16384 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    t5 += (t2*10947 + 8192) >> 14; \
+    /* 15137/16384 ~= Sin[3*Pi/8] ~= 0.923879532511287 */ \
+    t2 -= (t5*15137 + 8192) >> 14; \
+    /* 21895/32768 ~= Tan[3*Pi/16] ~= 0.668178637919299 */ \
+    t5 += (t2*21895 + 16384) >> 15; \
+    /* 13573/32768 ~= Tan[Pi/8] ~= 0.414213562373095 */ \
+    t3 += (t4*13573 + 16384) >> 15; \
+    /* 11585/16384 ~= Sin[Pi/4] ~= 0.707106781186547 */ \
+    t4 -= (t3*11585 + 8192) >> 14; \
+    /* 13573/32768 ~= Tan[Pi/8] ~= 0.414213562373095 */ \
+    t3 += (t4*13573 + 16384) >> 15; \
+  } \
+  while (0)
+
 void od_bin_fdct4(od_coeff y[4], const od_coeff *x, int xstride) {
   int q0;
   int q1;
@@ -117,3 +477,115 @@
   x[2*xstride] = q2;
   x[3*xstride] = q3;
 }
+
+void od_bin_fdct8(od_coeff y[8], const od_coeff *x, int xstride) {
+  int r0;
+  int r1;
+  int r2;
+  int r3;
+  int r4;
+  int r5;
+  int r6;
+  int r7;
+  r0 = x[0*xstride];
+  r4 = x[1*xstride];
+  r2 = x[2*xstride];
+  r6 = x[3*xstride];
+  r1 = x[4*xstride];
+  r5 = x[5*xstride];
+  r3 = x[6*xstride];
+  r7 = x[7*xstride];
+  OD_FDCT_8(r0, r4, r2, r6, r1, r5, r3, r7);
+  y[0] = (od_coeff)r0;
+  y[1] = (od_coeff)r1;
+  y[2] = (od_coeff)r2;
+  y[3] = (od_coeff)r3;
+  y[4] = (od_coeff)r4;
+  y[5] = (od_coeff)r5;
+  y[6] = (od_coeff)r6;
+  y[7] = (od_coeff)r7;
+}
+
+void od_bin_idct8(od_coeff *x, int xstride, const od_coeff y[8]) {
+  int r0;
+  int r1;
+  int r2;
+  int r3;
+  int r4;
+  int r5;
+  int r6;
+  int r7;
+  r0 = y[0];
+  r4 = y[1];
+  r2 = y[2];
+  r6 = y[3];
+  r1 = y[4];
+  r5 = y[5];
+  r3 = y[6];
+  r7 = y[7];
+  OD_IDCT_8(r0, r4, r2, r6, r1, r5, r3, r7);
+  x[0*xstride] = (od_coeff)r0;
+  x[1*xstride] = (od_coeff)r1;
+  x[2*xstride] = (od_coeff)r2;
+  x[3*xstride] = (od_coeff)r3;
+  x[4*xstride] = (od_coeff)r4;
+  x[5*xstride] = (od_coeff)r5;
+  x[6*xstride] = (od_coeff)r6;
+  x[7*xstride] = (od_coeff)r7;
+}
+
+void od_bin_fdst8(od_coeff y[8], const od_coeff *x, int xstride) {
+  int r0;
+  int r1;
+  int r2;
+  int r3;
+  int r4;
+  int r5;
+  int r6;
+  int r7;
+  r0 = x[0*xstride];
+  r4 = x[1*xstride];
+  r2 = x[2*xstride];
+  r6 = x[3*xstride];
+  r1 = x[4*xstride];
+  r5 = x[5*xstride];
+  r3 = x[6*xstride];
+  r7 = x[7*xstride];
+  OD_FDST_8(r0, r4, r2, r6, r1, r5, r3, r7);
+  y[0] = (od_coeff)r0;
+  y[1] = (od_coeff)r1;
+  y[2] = (od_coeff)r2;
+  y[3] = (od_coeff)r3;
+  y[4] = (od_coeff)r4;
+  y[5] = (od_coeff)r5;
+  y[6] = (od_coeff)r6;
+  y[7] = (od_coeff)r7;
+}
+
+void od_bin_idst8(od_coeff *x, int xstride, const od_coeff y[8]) {
+  int r0;
+  int r1;
+  int r2;
+  int r3;
+  int r4;
+  int r5;
+  int r6;
+  int r7;
+  r0 = y[0];
+  r4 = y[1];
+  r2 = y[2];
+  r6 = y[3];
+  r1 = y[4];
+  r5 = y[5];
+  r3 = y[6];
+  r7 = y[7];
+  OD_IDST_8(r0, r4, r2, r6, r1, r5, r3, r7);
+  x[0*xstride] = (od_coeff)r0;
+  x[1*xstride] = (od_coeff)r1;
+  x[2*xstride] = (od_coeff)r2;
+  x[3*xstride] = (od_coeff)r3;
+  x[4*xstride] = (od_coeff)r4;
+  x[5*xstride] = (od_coeff)r5;
+  x[6*xstride] = (od_coeff)r6;
+  x[7*xstride] = (od_coeff)r7;
+}