ref: a8d44b99154767bb20b64589e1c90361a5910c40
dir: /test/dct16x16_test.cc/
/*
* Copyright (c) 2012 The WebM project authors. All Rights Reserved.
*
* Use of this source code is governed by a BSD-style license
* that can be found in the LICENSE file in the root of the source
* tree. An additional intellectual property rights grant can be found
* in the file PATENTS. All contributing project authors may
* be found in the AUTHORS file in the root of the source tree.
*/
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include "third_party/googletest/src/include/gtest/gtest.h"
#include "test/acm_random.h"
#include "test/clear_system_state.h"
#include "test/register_state_check.h"
#include "test/util.h"
#include "./vp9_rtcd.h"
#include "vp9/common/vp9_entropy.h"
#include "vpx/vpx_integer.h"
extern "C" {
void vp9_idct16x16_256_add_c(const int16_t *input, uint8_t *output, int pitch);
}
using libvpx_test::ACMRandom;
namespace {
#ifdef _MSC_VER
static int round(double x) {
if (x < 0)
return static_cast<int>(ceil(x - 0.5));
else
return static_cast<int>(floor(x + 0.5));
}
#endif
const int kNumCoeffs = 256;
const double PI = 3.1415926535898;
void reference2_16x16_idct_2d(double *input, double *output) {
double x;
for (int l = 0; l < 16; ++l) {
for (int k = 0; k < 16; ++k) {
double s = 0;
for (int i = 0; i < 16; ++i) {
for (int j = 0; j < 16; ++j) {
x = cos(PI * j * (l + 0.5) / 16.0) *
cos(PI * i * (k + 0.5) / 16.0) *
input[i * 16 + j] / 256;
if (i != 0)
x *= sqrt(2.0);
if (j != 0)
x *= sqrt(2.0);
s += x;
}
}
output[k*16+l] = s;
}
}
}
const double C1 = 0.995184726672197;
const double C2 = 0.98078528040323;
const double C3 = 0.956940335732209;
const double C4 = 0.923879532511287;
const double C5 = 0.881921264348355;
const double C6 = 0.831469612302545;
const double C7 = 0.773010453362737;
const double C8 = 0.707106781186548;
const double C9 = 0.634393284163646;
const double C10 = 0.555570233019602;
const double C11 = 0.471396736825998;
const double C12 = 0.38268343236509;
const double C13 = 0.290284677254462;
const double C14 = 0.195090322016128;
const double C15 = 0.098017140329561;
void butterfly_16x16_dct_1d(double input[16], double output[16]) {
double step[16];
double intermediate[16];
double temp1, temp2;
// step 1
step[ 0] = input[0] + input[15];
step[ 1] = input[1] + input[14];
step[ 2] = input[2] + input[13];
step[ 3] = input[3] + input[12];
step[ 4] = input[4] + input[11];
step[ 5] = input[5] + input[10];
step[ 6] = input[6] + input[ 9];
step[ 7] = input[7] + input[ 8];
step[ 8] = input[7] - input[ 8];
step[ 9] = input[6] - input[ 9];
step[10] = input[5] - input[10];
step[11] = input[4] - input[11];
step[12] = input[3] - input[12];
step[13] = input[2] - input[13];
step[14] = input[1] - input[14];
step[15] = input[0] - input[15];
// step 2
output[0] = step[0] + step[7];
output[1] = step[1] + step[6];
output[2] = step[2] + step[5];
output[3] = step[3] + step[4];
output[4] = step[3] - step[4];
output[5] = step[2] - step[5];
output[6] = step[1] - step[6];
output[7] = step[0] - step[7];
temp1 = step[ 8] * C7;
temp2 = step[15] * C9;
output[ 8] = temp1 + temp2;
temp1 = step[ 9] * C11;
temp2 = step[14] * C5;
output[ 9] = temp1 - temp2;
temp1 = step[10] * C3;
temp2 = step[13] * C13;
output[10] = temp1 + temp2;
temp1 = step[11] * C15;
temp2 = step[12] * C1;
output[11] = temp1 - temp2;
temp1 = step[11] * C1;
temp2 = step[12] * C15;
output[12] = temp2 + temp1;
temp1 = step[10] * C13;
temp2 = step[13] * C3;
output[13] = temp2 - temp1;
temp1 = step[ 9] * C5;
temp2 = step[14] * C11;
output[14] = temp2 + temp1;
temp1 = step[ 8] * C9;
temp2 = step[15] * C7;
output[15] = temp2 - temp1;
// step 3
step[ 0] = output[0] + output[3];
step[ 1] = output[1] + output[2];
step[ 2] = output[1] - output[2];
step[ 3] = output[0] - output[3];
temp1 = output[4] * C14;
temp2 = output[7] * C2;
step[ 4] = temp1 + temp2;
temp1 = output[5] * C10;
temp2 = output[6] * C6;
step[ 5] = temp1 + temp2;
temp1 = output[5] * C6;
temp2 = output[6] * C10;
step[ 6] = temp2 - temp1;
temp1 = output[4] * C2;
temp2 = output[7] * C14;
step[ 7] = temp2 - temp1;
step[ 8] = output[ 8] + output[11];
step[ 9] = output[ 9] + output[10];
step[10] = output[ 9] - output[10];
step[11] = output[ 8] - output[11];
step[12] = output[12] + output[15];
step[13] = output[13] + output[14];
step[14] = output[13] - output[14];
step[15] = output[12] - output[15];
// step 4
output[ 0] = (step[ 0] + step[ 1]);
output[ 8] = (step[ 0] - step[ 1]);
temp1 = step[2] * C12;
temp2 = step[3] * C4;
temp1 = temp1 + temp2;
output[ 4] = 2*(temp1 * C8);
temp1 = step[2] * C4;
temp2 = step[3] * C12;
temp1 = temp2 - temp1;
output[12] = 2 * (temp1 * C8);
output[ 2] = 2 * ((step[4] + step[ 5]) * C8);
output[14] = 2 * ((step[7] - step[ 6]) * C8);
temp1 = step[4] - step[5];
temp2 = step[6] + step[7];
output[ 6] = (temp1 + temp2);
output[10] = (temp1 - temp2);
intermediate[8] = step[8] + step[14];
intermediate[9] = step[9] + step[15];
temp1 = intermediate[8] * C12;
temp2 = intermediate[9] * C4;
temp1 = temp1 - temp2;
output[3] = 2 * (temp1 * C8);
temp1 = intermediate[8] * C4;
temp2 = intermediate[9] * C12;
temp1 = temp2 + temp1;
output[13] = 2 * (temp1 * C8);
output[ 9] = 2 * ((step[10] + step[11]) * C8);
intermediate[11] = step[10] - step[11];
intermediate[12] = step[12] + step[13];
intermediate[13] = step[12] - step[13];
intermediate[14] = step[ 8] - step[14];
intermediate[15] = step[ 9] - step[15];
output[15] = (intermediate[11] + intermediate[12]);
output[ 1] = -(intermediate[11] - intermediate[12]);
output[ 7] = 2 * (intermediate[13] * C8);
temp1 = intermediate[14] * C12;
temp2 = intermediate[15] * C4;
temp1 = temp1 - temp2;
output[11] = -2 * (temp1 * C8);
temp1 = intermediate[14] * C4;
temp2 = intermediate[15] * C12;
temp1 = temp2 + temp1;
output[ 5] = 2 * (temp1 * C8);
}
void reference_16x16_dct_2d(int16_t input[256], double output[256]) {
// First transform columns
for (int i = 0; i < 16; ++i) {
double temp_in[16], temp_out[16];
for (int j = 0; j < 16; ++j)
temp_in[j] = input[j * 16 + i];
butterfly_16x16_dct_1d(temp_in, temp_out);
for (int j = 0; j < 16; ++j)
output[j * 16 + i] = temp_out[j];
}
// Then transform rows
for (int i = 0; i < 16; ++i) {
double temp_in[16], temp_out[16];
for (int j = 0; j < 16; ++j)
temp_in[j] = output[j + i * 16];
butterfly_16x16_dct_1d(temp_in, temp_out);
// Scale by some magic number
for (int j = 0; j < 16; ++j)
output[j + i * 16] = temp_out[j]/2;
}
}
typedef void (*FdctFunc)(const int16_t *in, int16_t *out, int stride);
typedef void (*IdctFunc)(const int16_t *in, uint8_t *out, int stride);
typedef void (*FhtFunc)(const int16_t *in, int16_t *out, int stride,
int tx_type);
typedef void (*IhtFunc)(const int16_t *in, uint8_t *out, int stride,
int tx_type);
typedef std::tr1::tuple<FdctFunc, IdctFunc, int> Dct16x16Param;
typedef std::tr1::tuple<FhtFunc, IhtFunc, int> Ht16x16Param;
void fdct16x16_ref(const int16_t *in, int16_t *out, int stride,
int /*tx_type*/) {
vp9_fdct16x16_c(in, out, stride);
}
void idct16x16_ref(const int16_t *in, uint8_t *dest, int stride,
int /*tx_type*/) {
vp9_idct16x16_256_add_c(in, dest, stride);
}
void fht16x16_ref(const int16_t *in, int16_t *out, int stride, int tx_type) {
vp9_fht16x16_c(in, out, stride, tx_type);
}
void iht16x16_ref(const int16_t *in, uint8_t *dest, int stride, int tx_type) {
vp9_iht16x16_256_add_c(in, dest, stride, tx_type);
}
class Trans16x16TestBase {
public:
virtual ~Trans16x16TestBase() {}
protected:
virtual void RunFwdTxfm(int16_t *in, int16_t *out, int stride) = 0;
virtual void RunInvTxfm(int16_t *out, uint8_t *dst, int stride) = 0;
void RunAccuracyCheck() {
ACMRandom rnd(ACMRandom::DeterministicSeed());
uint32_t max_error = 0;
int64_t total_error = 0;
const int count_test_block = 10000;
for (int i = 0; i < count_test_block; ++i) {
DECLARE_ALIGNED_ARRAY(16, int16_t, test_input_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, test_temp_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, dst, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, src, kNumCoeffs);
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < kNumCoeffs; ++j) {
src[j] = rnd.Rand8();
dst[j] = rnd.Rand8();
test_input_block[j] = src[j] - dst[j];
}
ASM_REGISTER_STATE_CHECK(RunFwdTxfm(test_input_block,
test_temp_block, pitch_));
ASM_REGISTER_STATE_CHECK(RunInvTxfm(test_temp_block, dst, pitch_));
for (int j = 0; j < kNumCoeffs; ++j) {
const uint32_t diff = dst[j] - src[j];
const uint32_t error = diff * diff;
if (max_error < error)
max_error = error;
total_error += error;
}
}
EXPECT_GE(1u, max_error)
<< "Error: 16x16 FHT/IHT has an individual round trip error > 1";
EXPECT_GE(count_test_block , total_error)
<< "Error: 16x16 FHT/IHT has average round trip error > 1 per block";
}
void RunCoeffCheck() {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
DECLARE_ALIGNED_ARRAY(16, int16_t, input_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_ref_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_block, kNumCoeffs);
for (int i = 0; i < count_test_block; ++i) {
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < kNumCoeffs; ++j)
input_block[j] = rnd.Rand8() - rnd.Rand8();
fwd_txfm_ref(input_block, output_ref_block, pitch_, tx_type_);
ASM_REGISTER_STATE_CHECK(RunFwdTxfm(input_block, output_block, pitch_));
// The minimum quant value is 4.
for (int j = 0; j < kNumCoeffs; ++j)
EXPECT_EQ(output_block[j], output_ref_block[j]);
}
}
void RunMemCheck() {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
DECLARE_ALIGNED_ARRAY(16, int16_t, input_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, input_extreme_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_ref_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_block, kNumCoeffs);
for (int i = 0; i < count_test_block; ++i) {
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < kNumCoeffs; ++j) {
input_block[j] = rnd.Rand8() - rnd.Rand8();
input_extreme_block[j] = rnd.Rand8() % 2 ? 255 : -255;
}
if (i == 0) {
for (int j = 0; j < kNumCoeffs; ++j)
input_extreme_block[j] = 255;
} else if (i == 1) {
for (int j = 0; j < kNumCoeffs; ++j)
input_extreme_block[j] = -255;
}
fwd_txfm_ref(input_extreme_block, output_ref_block, pitch_, tx_type_);
ASM_REGISTER_STATE_CHECK(RunFwdTxfm(input_extreme_block,
output_block, pitch_));
// The minimum quant value is 4.
for (int j = 0; j < kNumCoeffs; ++j) {
EXPECT_EQ(output_block[j], output_ref_block[j]);
EXPECT_GE(4 * DCT_MAX_VALUE, abs(output_block[j]))
<< "Error: 16x16 FDCT has coefficient larger than 4*DCT_MAX_VALUE";
}
}
}
void RunQuantCheck(int dc_thred, int ac_thred) {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
DECLARE_ALIGNED_ARRAY(16, int16_t, input_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, input_extreme_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_ref_block, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, dst, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, ref, kNumCoeffs);
for (int i = 0; i < count_test_block; ++i) {
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < kNumCoeffs; ++j) {
input_block[j] = rnd.Rand8() - rnd.Rand8();
input_extreme_block[j] = rnd.Rand8() % 2 ? 255 : -255;
}
if (i == 0)
for (int j = 0; j < kNumCoeffs; ++j)
input_extreme_block[j] = 255;
if (i == 1)
for (int j = 0; j < kNumCoeffs; ++j)
input_extreme_block[j] = -255;
fwd_txfm_ref(input_extreme_block, output_ref_block, pitch_, tx_type_);
// clear reconstructed pixel buffers
vpx_memset(dst, 0, kNumCoeffs * sizeof(uint8_t));
vpx_memset(ref, 0, kNumCoeffs * sizeof(uint8_t));
// quantization with maximum allowed step sizes
output_ref_block[0] = (output_ref_block[0] / dc_thred) * dc_thred;
for (int j = 1; j < kNumCoeffs; ++j)
output_ref_block[j] = (output_ref_block[j] / ac_thred) * ac_thred;
inv_txfm_ref(output_ref_block, ref, pitch_, tx_type_);
ASM_REGISTER_STATE_CHECK(RunInvTxfm(output_ref_block, dst, pitch_));
for (int j = 0; j < kNumCoeffs; ++j)
EXPECT_EQ(ref[j], dst[j]);
}
}
void RunInvAccuracyCheck() {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
DECLARE_ALIGNED_ARRAY(16, int16_t, in, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, int16_t, coeff, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, dst, kNumCoeffs);
DECLARE_ALIGNED_ARRAY(16, uint8_t, src, kNumCoeffs);
for (int i = 0; i < count_test_block; ++i) {
double out_r[kNumCoeffs];
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < kNumCoeffs; ++j) {
src[j] = rnd.Rand8();
dst[j] = rnd.Rand8();
in[j] = src[j] - dst[j];
}
reference_16x16_dct_2d(in, out_r);
for (int j = 0; j < kNumCoeffs; ++j)
coeff[j] = round(out_r[j]);
ASM_REGISTER_STATE_CHECK(RunInvTxfm(coeff, dst, 16));
for (int j = 0; j < kNumCoeffs; ++j) {
const uint32_t diff = dst[j] - src[j];
const uint32_t error = diff * diff;
EXPECT_GE(1u, error)
<< "Error: 16x16 IDCT has error " << error
<< " at index " << j;
}
}
}
int pitch_;
int tx_type_;
FhtFunc fwd_txfm_ref;
IhtFunc inv_txfm_ref;
};
class Trans16x16DCT
: public Trans16x16TestBase,
public ::testing::TestWithParam<Dct16x16Param> {
public:
virtual ~Trans16x16DCT() {}
virtual void SetUp() {
fwd_txfm_ = GET_PARAM(0);
inv_txfm_ = GET_PARAM(1);
tx_type_ = GET_PARAM(2);
pitch_ = 16;
fwd_txfm_ref = fdct16x16_ref;
inv_txfm_ref = idct16x16_ref;
}
virtual void TearDown() { libvpx_test::ClearSystemState(); }
protected:
void RunFwdTxfm(int16_t *in, int16_t *out, int stride) {
fwd_txfm_(in, out, stride);
}
void RunInvTxfm(int16_t *out, uint8_t *dst, int stride) {
inv_txfm_(out, dst, stride);
}
FdctFunc fwd_txfm_;
IdctFunc inv_txfm_;
};
TEST_P(Trans16x16DCT, AccuracyCheck) {
RunAccuracyCheck();
}
TEST_P(Trans16x16DCT, CoeffCheck) {
RunCoeffCheck();
}
TEST_P(Trans16x16DCT, MemCheck) {
RunMemCheck();
}
TEST_P(Trans16x16DCT, QuantCheck) {
// Use maximally allowed quantization step sizes for DC and AC
// coefficients respectively.
RunQuantCheck(1336, 1828);
}
TEST_P(Trans16x16DCT, InvAccuracyCheck) {
RunInvAccuracyCheck();
}
class Trans16x16HT
: public Trans16x16TestBase,
public ::testing::TestWithParam<Ht16x16Param> {
public:
virtual ~Trans16x16HT() {}
virtual void SetUp() {
fwd_txfm_ = GET_PARAM(0);
inv_txfm_ = GET_PARAM(1);
tx_type_ = GET_PARAM(2);
pitch_ = 16;
fwd_txfm_ref = fht16x16_ref;
inv_txfm_ref = iht16x16_ref;
}
virtual void TearDown() { libvpx_test::ClearSystemState(); }
protected:
void RunFwdTxfm(int16_t *in, int16_t *out, int stride) {
fwd_txfm_(in, out, stride, tx_type_);
}
void RunInvTxfm(int16_t *out, uint8_t *dst, int stride) {
inv_txfm_(out, dst, stride, tx_type_);
}
FhtFunc fwd_txfm_;
IhtFunc inv_txfm_;
};
TEST_P(Trans16x16HT, AccuracyCheck) {
RunAccuracyCheck();
}
TEST_P(Trans16x16HT, CoeffCheck) {
RunCoeffCheck();
}
TEST_P(Trans16x16HT, MemCheck) {
RunMemCheck();
}
TEST_P(Trans16x16HT, QuantCheck) {
// The encoder skips any non-DC intra prediction modes,
// when the quantization step size goes beyond 988.
RunQuantCheck(549, 988);
}
using std::tr1::make_tuple;
INSTANTIATE_TEST_CASE_P(
C, Trans16x16DCT,
::testing::Values(
make_tuple(&vp9_fdct16x16_c, &vp9_idct16x16_256_add_c, 0)));
INSTANTIATE_TEST_CASE_P(
C, Trans16x16HT,
::testing::Values(
make_tuple(&vp9_fht16x16_c, &vp9_iht16x16_256_add_c, 0),
make_tuple(&vp9_fht16x16_c, &vp9_iht16x16_256_add_c, 1),
make_tuple(&vp9_fht16x16_c, &vp9_iht16x16_256_add_c, 2),
make_tuple(&vp9_fht16x16_c, &vp9_iht16x16_256_add_c, 3)));
#if HAVE_NEON_ASM
INSTANTIATE_TEST_CASE_P(
NEON, Trans16x16DCT,
::testing::Values(
make_tuple(&vp9_fdct16x16_c,
&vp9_idct16x16_256_add_neon, 0)));
#endif
#if HAVE_SSE2
INSTANTIATE_TEST_CASE_P(
SSE2, Trans16x16DCT,
::testing::Values(
make_tuple(&vp9_fdct16x16_sse2,
&vp9_idct16x16_256_add_sse2, 0)));
INSTANTIATE_TEST_CASE_P(
SSE2, Trans16x16HT,
::testing::Values(
make_tuple(&vp9_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 0),
make_tuple(&vp9_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 1),
make_tuple(&vp9_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 2),
make_tuple(&vp9_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 3)));
#endif
#if HAVE_SSSE3
INSTANTIATE_TEST_CASE_P(
SSSE3, Trans16x16DCT,
::testing::Values(
make_tuple(&vp9_fdct16x16_c, &vp9_idct16x16_256_add_ssse3, 0)));
#endif
} // namespace