Commit 838a53d6 authored by David Barker's avatar David Barker Committed by Debargha Mukherjee

Improve rectangular transform accuracy

By adjusting the internal scaling and rounding in the transforms,
we can adjust the maximum round-trip errors to:
* 8x16 and 16x8: 0 pixel values (ie, transforms are exact)
* 16x32: 1 pixel value
* 32x16: 2 pixel values

Change-Id: I0ba691a8d27042dcf1dd5ae81568d07a92d68781
parent 29c61068
......@@ -1337,7 +1337,9 @@ void av1_fht8x16_c(const int16_t *input, tran_low_t *output, int stride,
for (i = 0; i < n2; ++i) {
for (j = 0; j < n; ++j) temp_in[j] = out[j + i * n];
ht.rows(temp_in, temp_out);
for (j = 0; j < n; ++j) output[j + i * n] = temp_out[j] >> 2;
for (j = 0; j < n; ++j)
output[j + i * n] =
saturate_int16(temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Note: overall scale factor of transform is 8 times unitary
}
......@@ -1388,7 +1390,9 @@ void av1_fht16x8_c(const int16_t *input, tran_low_t *output, int stride,
for (i = 0; i < n; ++i) {
for (j = 0; j < n2; ++j) temp_in[j] = out[j + i * n2];
ht.rows(temp_in, temp_out);
for (j = 0; j < n2; ++j) output[j + i * n2] = temp_out[j] >> 2;
for (j = 0; j < n2; ++j)
output[j + i * n2] =
saturate_int16(temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Note: overall scale factor of transform is 8 times unitary
}
......@@ -1429,16 +1433,20 @@ void av1_fht16x32_c(const int16_t *input, tran_low_t *output, int stride,
// Columns
for (i = 0; i < n; ++i) {
for (j = 0; j < n2; ++j)
temp_in[j] = (tran_low_t)fdct_round_shift(input[j * stride + i] * Sqrt2);
temp_in[j] =
(tran_low_t)fdct_round_shift(input[j * stride + i] * 4 * Sqrt2);
ht.cols(temp_in, temp_out);
for (j = 0; j < n2; ++j) out[j * n + i] = temp_out[j];
for (j = 0; j < n2; ++j)
out[j * n + i] = (temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Rows
for (i = 0; i < n2; ++i) {
for (j = 0; j < n; ++j) temp_in[j] = out[j + i * n];
ht.rows(temp_in, temp_out);
for (j = 0; j < n; ++j) output[j + i * n] = temp_out[j] >> 2;
for (j = 0; j < n; ++j)
output[j + i * n] =
saturate_int16(temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Note: overall scale factor of transform is 4 times unitary
}
......@@ -1479,16 +1487,20 @@ void av1_fht32x16_c(const int16_t *input, tran_low_t *output, int stride,
// Columns
for (i = 0; i < n2; ++i) {
for (j = 0; j < n; ++j)
temp_in[j] = (tran_low_t)fdct_round_shift(input[j * stride + i] * Sqrt2);
temp_in[j] =
(tran_low_t)fdct_round_shift(input[j * stride + i] * 4 * Sqrt2);
ht.cols(temp_in, temp_out);
for (j = 0; j < n; ++j) out[j * n2 + i] = temp_out[j];
for (j = 0; j < n; ++j)
out[j * n2 + i] = (temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Rows
for (i = 0; i < n; ++i) {
for (j = 0; j < n2; ++j) temp_in[j] = out[j + i * n2];
ht.rows(temp_in, temp_out);
for (j = 0; j < n2; ++j) output[j + i * n2] = temp_out[j] >> 2;
for (j = 0; j < n2; ++j)
output[j + i * n2] =
saturate_int16(temp_out[j] + 1 + (temp_out[j] < 0)) >> 2;
}
// Note: overall scale factor of transform is 4 times unitary
}
......
......@@ -796,14 +796,14 @@ static INLINE void right_shift_8x8(__m128i *res, const int bit) {
if (bit == 2) {
const __m128i const_rounding = _mm_set1_epi16(1);
res[0] = _mm_add_epi16(res[0], const_rounding);
res[1] = _mm_add_epi16(res[1], const_rounding);
res[2] = _mm_add_epi16(res[2], const_rounding);
res[3] = _mm_add_epi16(res[3], const_rounding);
res[4] = _mm_add_epi16(res[4], const_rounding);
res[5] = _mm_add_epi16(res[5], const_rounding);
res[6] = _mm_add_epi16(res[6], const_rounding);
res[7] = _mm_add_epi16(res[7], const_rounding);
res[0] = _mm_adds_epi16(res[0], const_rounding);
res[1] = _mm_adds_epi16(res[1], const_rounding);
res[2] = _mm_adds_epi16(res[2], const_rounding);
res[3] = _mm_adds_epi16(res[3], const_rounding);
res[4] = _mm_adds_epi16(res[4], const_rounding);
res[5] = _mm_adds_epi16(res[5], const_rounding);
res[6] = _mm_adds_epi16(res[6], const_rounding);
res[7] = _mm_adds_epi16(res[7], const_rounding);
}
res[0] = _mm_sub_epi16(res[0], sign0);
......@@ -3140,14 +3140,6 @@ static INLINE void load_buffer_8x16(const int16_t *input, __m128i *in,
scale_sqrt2_8x8_signed(in + 8);
}
static INLINE void right_shift(__m128i *in, int size, int bit) {
int i = 0;
while (i < size) {
in[i] = _mm_srai_epi16(in[i], bit);
i += 1;
}
}
void av1_fht8x16_sse2(const int16_t *input, tran_low_t *output, int stride,
int tx_type) {
__m128i in[16];
......@@ -3288,8 +3280,8 @@ void av1_fht8x16_sse2(const int16_t *input, tran_low_t *output, int stride,
#endif
default: assert(0); break;
}
right_shift(t, 8, 2);
right_shift(b, 8, 2);
right_shift_8x8(t, 2);
right_shift_8x8(b, 2);
write_buffer_8x8(output, t, 8);
write_buffer_8x8(output + 64, b, 8);
}
......@@ -3424,8 +3416,8 @@ void av1_fht16x8_sse2(const int16_t *input, tran_low_t *output, int stride,
}
array_transpose_8x8(l, l);
array_transpose_8x8(r, r);
right_shift(l, 8, 2);
right_shift(r, 8, 2);
right_shift_8x8(l, 2);
right_shift_8x8(r, 2);
write_buffer_8x8(output, l, 16);
write_buffer_8x8(output + 8, r, 16);
}
......@@ -3496,12 +3488,14 @@ static INLINE void load_buffer_16x32(const int16_t *input, __m128i *intl,
}
for (i = 0; i < 16; ++i) {
intl[i + 0] = _mm_load_si128((const __m128i *)(input + i * stride + 0));
intr[i + 0] = _mm_load_si128((const __m128i *)(input + i * stride + 8));
inbl[i + 0] =
_mm_load_si128((const __m128i *)(input + (i + 16) * stride + 0));
inbr[i + 0] =
_mm_load_si128((const __m128i *)(input + (i + 16) * stride + 8));
intl[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 0)), 2);
intr[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 8)), 2);
inbl[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + (i + 16) * stride + 0)), 2);
inbr[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + (i + 16) * stride + 8)), 2);
}
if (fliplr) {
......@@ -3526,10 +3520,8 @@ static INLINE void write_buffer_16x32(tran_low_t *output, __m128i *restl,
__m128i *restr, __m128i *resbl,
__m128i *resbr) {
int i;
right_shift(restl, 16, 2);
right_shift(restr, 16, 2);
right_shift(resbl, 16, 2);
right_shift(resbr, 16, 2);
right_shift_16x16(restl, restr);
right_shift_16x16(resbl, resbr);
for (i = 0; i < 16; ++i) {
store_output(&restl[i], output + i * 16 + 0);
store_output(&restr[i], output + i * 16 + 8);
......@@ -3551,24 +3543,32 @@ void av1_fht16x32_sse2(const int16_t *input, tran_low_t *output, int stride,
case DCT_DCT:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fdct32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fdct16_sse2(intl, intr);
fdct16_sse2(inbl, inbr);
break;
case ADST_DCT:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fdct16_sse2(intl, intr);
fdct16_sse2(inbl, inbr);
break;
case DCT_ADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fdct32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case ADST_ADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
......@@ -3576,72 +3576,96 @@ void av1_fht16x32_sse2(const int16_t *input, tran_low_t *output, int stride,
case FLIPADST_DCT:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 1, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fdct16_sse2(intl, intr);
fdct16_sse2(inbl, inbr);
break;
case DCT_FLIPADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 1);
fdct32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case FLIPADST_FLIPADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 1, 1);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case ADST_FLIPADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 1);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case FLIPADST_ADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 1, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case IDTX:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fidtx32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fidtx16_sse2(intl, intr);
fidtx16_sse2(inbl, inbr);
break;
case V_DCT:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fdct32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fidtx16_sse2(intl, intr);
fidtx16_sse2(inbl, inbr);
break;
case H_DCT:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fidtx32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fdct16_sse2(intl, intr);
fdct16_sse2(inbl, inbr);
break;
case V_ADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fidtx16_sse2(intl, intr);
fidtx16_sse2(inbl, inbr);
break;
case H_ADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 0);
fidtx32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
case V_FLIPADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 1, 0);
fhalfright32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fidtx16_sse2(intl, intr);
fidtx16_sse2(inbl, inbr);
break;
case H_FLIPADST:
load_buffer_16x32(input, intl, intr, inbl, inbr, stride, 0, 1);
fidtx32_16col(intl, intr, inbl, inbr);
right_shift_16x16(intl, intr);
right_shift_16x16(inbl, inbr);
fadst16_sse2(intl, intr);
fadst16_sse2(inbl, inbr);
break;
......@@ -3661,10 +3685,14 @@ static INLINE void load_buffer_32x16(const int16_t *input, __m128i *in0,
}
for (i = 0; i < 16; ++i) {
in0[i] = _mm_load_si128((const __m128i *)(input + i * stride + 0));
in1[i] = _mm_load_si128((const __m128i *)(input + i * stride + 8));
in2[i] = _mm_load_si128((const __m128i *)(input + i * stride + 16));
in3[i] = _mm_load_si128((const __m128i *)(input + i * stride + 24));
in0[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 0)), 2);
in1[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 8)), 2);
in2[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 16)), 2);
in3[i] = _mm_slli_epi16(
_mm_load_si128((const __m128i *)(input + i * stride + 24)), 2);
}
if (fliplr) {
......@@ -3688,10 +3716,8 @@ static INLINE void write_buffer_32x16(tran_low_t *output, __m128i *res0,
__m128i *res1, __m128i *res2,
__m128i *res3) {
int i;
right_shift(res0, 16, 2);
right_shift(res1, 16, 2);
right_shift(res2, 16, 2);
right_shift(res3, 16, 2);
right_shift_16x16(res0, res1);
right_shift_16x16(res2, res3);
for (i = 0; i < 16; ++i) {
store_output(&res0[i], output + i * 32 + 0);
store_output(&res1[i], output + i * 32 + 8);
......@@ -3709,21 +3735,29 @@ void av1_fht32x16_sse2(const int16_t *input, tran_low_t *output, int stride,
case DCT_DCT:
fdct16_sse2(in0, in1);
fdct16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fdct32_16col(in0, in1, in2, in3);
break;
case ADST_DCT:
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fdct32_16col(in0, in1, in2, in3);
break;
case DCT_ADST:
fdct16_sse2(in0, in1);
fdct16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case ADST_ADST:
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
#if CONFIG_EXT_TX
......@@ -3731,72 +3765,96 @@ void av1_fht32x16_sse2(const int16_t *input, tran_low_t *output, int stride,
load_buffer_32x16(input, in0, in1, in2, in3, stride, 1, 0);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fdct32_16col(in0, in1, in2, in3);
break;
case DCT_FLIPADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 1);
fdct16_sse2(in0, in1);
fdct16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case FLIPADST_FLIPADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 1, 1);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case ADST_FLIPADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 1);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case FLIPADST_ADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 1, 0);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case IDTX:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 0);
fidtx16_sse2(in0, in1);
fidtx16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fidtx32_16col(in0, in1, in2, in3);
break;
case V_DCT:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 0);
fdct16_sse2(in0, in1);
fdct16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fidtx32_16col(in0, in1, in2, in3);
break;
case H_DCT:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 0);
fidtx16_sse2(in0, in1);
fidtx16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fdct32_16col(in0, in1, in2, in3);
break;
case V_ADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 0);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fidtx32_16col(in0, in1, in2, in3);
break;
case H_ADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 0);
fidtx16_sse2(in0, in1);
fidtx16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
case V_FLIPADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 1, 0);
fadst16_sse2(in0, in1);
fadst16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fidtx32_16col(in0, in1, in2, in3);
break;
case H_FLIPADST:
load_buffer_32x16(input, in0, in1, in2, in3, stride, 0, 1);
fidtx16_sse2(in0, in1);
fidtx16_sse2(in2, in3);
right_shift_16x16(in0, in1);
right_shift_16x16(in2, in3);
fhalfright32_16col(in0, in1, in2, in3);
break;
#endif
......
......@@ -69,11 +69,11 @@ class AV1Trans16x32HT : public libaom_test::TransformTestBase,
IhtFunc inv_txfm_;
};
TEST_P(AV1Trans16x32HT, AccuracyCheck) { RunAccuracyCheck(48); }
TEST_P(AV1Trans16x32HT, AccuracyCheck) { RunAccuracyCheck(1); }
TEST_P(AV1Trans16x32HT, CoeffCheck) { RunCoeffCheck(); }
TEST_P(AV1Trans16x32HT, MemCheck) { RunMemCheck(); }
TEST_P(AV1Trans16x32HT, InvCoeffCheck) { RunInvCoeffCheck(); }
TEST_P(AV1Trans16x32HT, InvAccuracyCheck) { RunInvAccuracyCheck(9); }
TEST_P(AV1Trans16x32HT, InvAccuracyCheck) { RunInvAccuracyCheck(1); }
using std::tr1::make_tuple;
const Ht16x32Param kArrayHt16x32Param_c[] = {
......
......@@ -69,11 +69,11 @@ class AV1Trans16x8HT : public libaom_test::TransformTestBase,
IhtFunc inv_txfm_;
};
TEST_P(AV1Trans16x8HT, AccuracyCheck) { RunAccuracyCheck(1); }
TEST_P(AV1Trans16x8HT, AccuracyCheck) { RunAccuracyCheck(0); }
TEST_P(AV1Trans16x8HT, CoeffCheck) { RunCoeffCheck(); }
TEST_P(AV1Trans16x8HT, MemCheck) { RunMemCheck(); }
TEST_P(AV1Trans16x8HT, InvCoeffCheck) { RunInvCoeffCheck(); }
TEST_P(AV1Trans16x8HT, InvAccuracyCheck) { RunInvAccuracyCheck(1); }
TEST_P(AV1Trans16x8HT, InvAccuracyCheck) { RunInvAccuracyCheck(0); }
using std::tr1::make_tuple;
......
......@@ -70,10 +70,10 @@ class AV1Trans32x16HT : public libaom_test::TransformTestBase,
};
TEST_P(AV1Trans32x16HT, MemCheck) { RunMemCheck(); }
TEST_P(AV1Trans32x16HT, AccuracyCheck) { RunAccuracyCheck(43); }
TEST_P(AV1Trans32x16HT, AccuracyCheck) { RunAccuracyCheck(2); }
TEST_P(AV1Trans32x16HT, CoeffCheck) { RunCoeffCheck(); }
TEST_P(AV1Trans32x16HT, InvCoeffCheck) { RunInvCoeffCheck(); }
TEST_P(AV1Trans32x16HT, InvAccuracyCheck) { RunInvAccuracyCheck(9); }
TEST_P(AV1Trans32x16HT, InvAccuracyCheck) { RunInvAccuracyCheck(1); }
using std::tr1::make_tuple;
const Ht32x16Param kArrayHt32x16Param_c[] = {
......
......@@ -70,10 +70,10 @@ class AV1Trans8x16HT : public libaom_test::TransformTestBase,
};
TEST_P(AV1Trans8x16HT, MemCheck) { RunMemCheck(); }
TEST_P(AV1Trans8x16HT, AccuracyCheck) { RunAccuracyCheck(1); }
TEST_P(AV1Trans8x16HT, AccuracyCheck) { RunAccuracyCheck(0); }
TEST_P(AV1Trans8x16HT, CoeffCheck) { RunCoeffCheck(); }
TEST_P(AV1Trans8x16HT, InvCoeffCheck) { RunInvCoeffCheck(); }
TEST_P(AV1Trans8x16HT, InvAccuracyCheck) { RunInvAccuracyCheck(1); }
TEST_P(AV1Trans8x16HT, InvAccuracyCheck) { RunInvAccuracyCheck(0); }
using std::tr1::make_tuple;
......
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