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+/*
+ * 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"
+
+extern "C" {
+#include "vp9/common/vp9_entropy.h"
+#include "./vp9_rtcd.h"
+void vp9_idct16x16_256_add_c(const int16_t *input, uint8_t *output, int pitch);
+}
+#include "vpx/vpx_integer.h"
+
+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 (*fdct_t)(const int16_t *in, int16_t *out, int stride);
+typedef void (*idct_t)(const int16_t *in, uint8_t *out, int stride);
+typedef void (*fht_t) (const int16_t *in, int16_t *out, int stride,
+ int tx_type);
+typedef void (*iht_t) (const int16_t *in, uint8_t *out, int stride,
+ int tx_type);
+
+void fdct16x16_ref(const int16_t *in, int16_t *out, int stride, int tx_type) {
+ vp9_fdct16x16_c(in, out, stride);
+}
+
+void fht16x16_ref(const int16_t *in, int16_t *out, int stride, int tx_type) {
+ vp9_short_fht16x16_c(in, out, 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];
+ }
+
+ REGISTER_STATE_CHECK(RunFwdTxfm(test_input_block,
+ test_temp_block, pitch_));
+ 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_);
+ 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;
+ 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_);
+ 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 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]);
+
+ 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_;
+ fht_t fwd_txfm_ref;
+};
+
+class Trans16x16DCT : public Trans16x16TestBase,
+ public PARAMS(fdct_t, idct_t, int) {
+ 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;
+ }
+ 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);
+ }
+
+ fdct_t fwd_txfm_;
+ idct_t inv_txfm_;
+};
+
+TEST_P(Trans16x16DCT, AccuracyCheck) {
+ RunAccuracyCheck();
+}
+
+TEST_P(Trans16x16DCT, CoeffCheck) {
+ RunCoeffCheck();
+}
+
+TEST_P(Trans16x16DCT, MemCheck) {
+ RunMemCheck();
+}
+
+TEST_P(Trans16x16DCT, InvAccuracyCheck) {
+ RunInvAccuracyCheck();
+}
+
+class Trans16x16HT : public Trans16x16TestBase,
+ public PARAMS(fht_t, iht_t, int) {
+ 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;
+ }
+ 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_);
+ }
+
+ fht_t fwd_txfm_;
+ iht_t inv_txfm_;
+};
+
+TEST_P(Trans16x16HT, AccuracyCheck) {
+ RunAccuracyCheck();
+}
+
+TEST_P(Trans16x16HT, CoeffCheck) {
+ RunCoeffCheck();
+}
+
+TEST_P(Trans16x16HT, MemCheck) {
+ RunMemCheck();
+}
+
+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_short_fht16x16_c, &vp9_iht16x16_256_add_c, 0),
+ make_tuple(&vp9_short_fht16x16_c, &vp9_iht16x16_256_add_c, 1),
+ make_tuple(&vp9_short_fht16x16_c, &vp9_iht16x16_256_add_c, 2),
+ make_tuple(&vp9_short_fht16x16_c, &vp9_iht16x16_256_add_c, 3)));
+
+#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_short_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 0),
+ make_tuple(&vp9_short_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 1),
+ make_tuple(&vp9_short_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 2),
+ make_tuple(&vp9_short_fht16x16_sse2, &vp9_iht16x16_256_add_sse2, 3)));
+#endif
+} // namespace
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