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Jingning Han authored
Unit tests on the functional accuracy of forward ADST/DCT. Change-Id: I81afff866bdeacbd457b0af96993a035741657f6
cf768b2d
/* * 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 "vpx_ports/mem.h"extern "C" {#include "vp9/common/vp9_entropy.h"#include "vp9_rtcd.h"void vp9_short_idct16x16_add_c(short *input, uint8_t *output, int pitch);}#include "acm_random.h"#include "vpx/vpx_integer.h"using libvpx_test::ACMRandom;namespace {#ifdef _MSC_VERstatic int round(double x) { if (x < 0) return (int)ceil(x - 0.5); else return (int)floor(x + 0.5);}#endifconst 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; } }}static const double C1 = 0.995184726672197;static const double C2 = 0.98078528040323;static const double C3 = 0.956940335732209;static const double C4 = 0.923879532511287;static const double C5 = 0.881921264348355;static const double C6 = 0.831469612302545;static const double C7 = 0.773010453362737;static const double C8 = 0.707106781186548;static const double C9 = 0.634393284163646;7172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140
static const double C10 = 0.555570233019602;
static const double C11 = 0.471396736825998;
static const double C12 = 0.38268343236509;
static const double C13 = 0.290284677254462;
static const double C14 = 0.195090322016128;
static const double C15 = 0.098017140329561;
static 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;
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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);
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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);
}
static void reference_16x16_dct_1d(double in[16], double out[16]) {
const double kPi = 3.141592653589793238462643383279502884;
const double kInvSqrt2 = 0.707106781186547524400844362104;
for (int k = 0; k < 16; k++) {
out[k] = 0.0;
for (int n = 0; n < 16; n++)
out[k] += in[n]*cos(kPi*(2*n+1)*k/32.0);
if (k == 0)
out[k] = out[k]*kInvSqrt2;
}
}
void reference_16x16_dct_2d(int16_t input[16*16], double output[16*16]) {
// 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;
}
}
void fdct16x16(int16_t *in, int16_t *out, uint8_t* /*dst*/,
int stride, int /*tx_type*/) {
vp9_short_fdct16x16_c(in, out, stride);
}
void idct16x16_add(int16_t* /*in*/, int16_t *out, uint8_t *dst,
int stride, int /*tx_type*/) {
vp9_short_idct16x16_add_c(out, dst, stride >> 1);
}
void fht16x16(int16_t *in, int16_t *out, uint8_t* /*dst*/,
int stride, int tx_type) {
// FIXME(jingning): patch dependency on SSE2 16x16 hybrid transform coding
#if HAVE_SSE2 && 0
vp9_short_fht16x16_sse2(in, out, stride >> 1, tx_type);
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#else
vp9_short_fht16x16_c(in, out, stride >> 1, tx_type);
#endif
}
void iht16x16_add(int16_t* /*in*/, int16_t *out, uint8_t *dst,
int stride, int tx_type) {
vp9_short_iht16x16_add_c(out, dst, stride >> 1, tx_type);
}
class FwdTrans16x16Test : public ::testing::TestWithParam<int> {
public:
FwdTrans16x16Test() { SetUpTestTxfm(); }
~FwdTrans16x16Test() {}
void SetUpTestTxfm() {
tx_type_ = GetParam();
if (tx_type_ == 0) {
fwd_txfm = fdct16x16;
inv_txfm = idct16x16_add;
} else {
fwd_txfm = fht16x16;
inv_txfm = iht16x16_add;
}
}
protected:
void RunFwdTxfm(int16_t *in, int16_t *out, uint8_t *dst,
int stride, int tx_type) {
(*fwd_txfm)(in, out, dst, stride, tx_type);
}
void RunInvTxfm(int16_t *in, int16_t *out, uint8_t *dst,
int stride, int tx_type) {
(*inv_txfm)(in, out, dst, stride, tx_type);
}
int tx_type_;
void (*fwd_txfm)(int16_t*, int16_t*, uint8_t*, int, int);
void (*inv_txfm)(int16_t*, int16_t*, uint8_t*, int, int);
};
TEST_P(FwdTrans16x16Test, AccuracyCheck) {
ACMRandom rnd(ACMRandom::DeterministicSeed());
int max_error = 0;
double 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, 256);
DECLARE_ALIGNED_ARRAY(16, int16_t, test_temp_block, 256);
DECLARE_ALIGNED_ARRAY(16, uint8_t, dst, 256);
DECLARE_ALIGNED_ARRAY(16, uint8_t, src, 256);
for (int j = 0; j < 256; ++j) {
src[j] = rnd.Rand8();
dst[j] = rnd.Rand8();
}
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < 256; ++j)
test_input_block[j] = src[j] - dst[j];
const int pitch = 32;
RunFwdTxfm(test_input_block, test_temp_block, dst, pitch, tx_type_);
RunInvTxfm(test_input_block, test_temp_block, dst, pitch, tx_type_);
for (int j = 0; j < 256; ++j) {
const int diff = dst[j] - src[j];
const int error = diff * diff;
if (max_error < error)
max_error = error;
total_error += error;
}
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}
EXPECT_GE(1, 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";
}
TEST_P(FwdTrans16x16Test, CoeffSizeCheck) {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
for (int i = 0; i < count_test_block; ++i) {
DECLARE_ALIGNED_ARRAY(16, int16_t, input_block, 256);
DECLARE_ALIGNED_ARRAY(16, int16_t, input_extreme_block, 256);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_block, 256);
DECLARE_ALIGNED_ARRAY(16, int16_t, output_extreme_block, 256);
DECLARE_ALIGNED_ARRAY(16, uint8_t, dst, 256);
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < 256; ++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 < 256; ++j)
input_extreme_block[j] = 255;
const int pitch = 32;
RunFwdTxfm(input_block, output_block, dst, pitch, tx_type_);
RunFwdTxfm(input_extreme_block, output_extreme_block, dst, pitch, tx_type_);
// The minimum quant value is 4.
for (int j = 0; j < 256; ++j) {
EXPECT_GE(4*DCT_MAX_VALUE, abs(output_block[j]))
<< "Error: 16x16 FDCT has coefficient larger than 4*DCT_MAX_VALUE";
EXPECT_GE(4*DCT_MAX_VALUE, abs(output_extreme_block[j]))
<< "Error: 16x16 FDCT extreme has coefficient larger than 4*DCT_MAX_VALUE";
}
}
}
INSTANTIATE_TEST_CASE_P(VP9, FwdTrans16x16Test, ::testing::Range(0, 4));
TEST(VP9Idct16x16Test, AccuracyCheck) {
ACMRandom rnd(ACMRandom::DeterministicSeed());
const int count_test_block = 1000;
for (int i = 0; i < count_test_block; ++i) {
int16_t in[256], coeff[256];
uint8_t dst[256], src[256];
double out_r[256];
for (int j = 0; j < 256; ++j) {
src[j] = rnd.Rand8();
dst[j] = rnd.Rand8();
}
// Initialize a test block with input range [-255, 255].
for (int j = 0; j < 256; ++j)
in[j] = src[j] - dst[j];
reference_16x16_dct_2d(in, out_r);
for (int j = 0; j < 256; j++)
coeff[j] = round(out_r[j]);
vp9_short_idct16x16_add_c(coeff, dst, 16);
for (int j = 0; j < 256; ++j) {
const int diff = dst[j] - src[j];
const int error = diff * diff;
EXPECT_GE(1, error)
<< "Error: 16x16 IDCT has error " << error
<< " at index " << j;
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}
}
}
} // namespace