// Copyright (c) the JPEG XL 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. #include #include #include #undef HWY_TARGET_INCLUDE #define HWY_TARGET_INCLUDE "lib/jxl/dct_test.cc" #include #include #include #include "lib/jxl/base/thread_pool_internal.h" #include "lib/jxl/common.h" #include "lib/jxl/dct-inl.h" #include "lib/jxl/dct_for_test.h" #include "lib/jxl/dct_scales.h" #include "lib/jxl/image.h" #include "lib/jxl/test_utils.h" HWY_BEFORE_NAMESPACE(); namespace jxl { namespace HWY_NAMESPACE { // Computes the in-place NxN DCT of block. // Requires that block is HWY_ALIGN'ed. // // Performs ComputeTransposedScaledDCT and then transposes and scales it to // obtain "vanilla" DCT. template void ComputeDCT(float block[N * N]) { HWY_ALIGN float tmp_block[N * N]; HWY_ALIGN float scratch_space[N * N]; ComputeScaledDCT()(DCTFrom(block, N), tmp_block, scratch_space); // Untranspose. Transpose::Run(DCTFrom(tmp_block, N), DCTTo(block, N)); } // Computes the in-place 8x8 iDCT of block. // Requires that block is HWY_ALIGN'ed. template void ComputeIDCT(float block[N * N]) { HWY_ALIGN float tmp_block[N * N]; HWY_ALIGN float scratch_space[N * N]; // Untranspose. Transpose::Run(DCTFrom(block, N), DCTTo(tmp_block, N)); ComputeScaledIDCT()(tmp_block, DCTTo(block, N), scratch_space); } template void TransposeTestT(float accuracy) { constexpr size_t kBlockSize = N * N; HWY_ALIGN float src[kBlockSize]; DCTTo to_src(src, N); for (size_t y = 0; y < N; ++y) { for (size_t x = 0; x < N; ++x) { to_src.Write(y * N + x, y, x); } } HWY_ALIGN float dst[kBlockSize]; Transpose::Run(DCTFrom(src, N), DCTTo(dst, N)); DCTFrom from_dst(dst, N); for (size_t y = 0; y < N; ++y) { for (size_t x = 0; x < N; ++x) { float expected = x * N + y; float actual = from_dst.Read(y, x); EXPECT_NEAR(expected, actual, accuracy) << "x = " << x << ", y = " << y; } } } void TransposeTest() { TransposeTestT<8>(1e-7f); TransposeTestT<16>(1e-7f); TransposeTestT<32>(1e-7f); } template void ColumnDctRoundtripT(float accuracy) { constexpr size_t kBlockSize = N * N; // Though we are only interested in single column result, dct.h has built-in // limit on minimal number of columns processed. So, to be safe, we do // regular 8x8 block transformation. On the bright side - we could check all // 8 basis vectors at once. HWY_ALIGN float block[kBlockSize]; DCTTo to(block, N); DCTFrom from(block, N); for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { to.Write((i == j) ? 1.0f : 0.0f, i, j); } } // Running (I)DCT on the same memory block seems to trigger a compiler bug on // ARMv7 with clang6. HWY_ALIGN float tmp[kBlockSize]; DCTTo to_tmp(tmp, N); DCTFrom from_tmp(tmp, N); DCT1D()(from, to_tmp); IDCT1D()(from_tmp, to); for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { float expected = (i == j) ? 1.0f : 0.0f; float actual = from.Read(i, j); EXPECT_NEAR(expected, actual, accuracy) << " i=" << i << ", j=" << j; } } } void ColumnDctRoundtrip() { ColumnDctRoundtripT<8>(1e-6f); ColumnDctRoundtripT<16>(1e-6f); ColumnDctRoundtripT<32>(1e-6f); } template void TestDctAccuracy(float accuracy, size_t start = 0, size_t end = N * N) { constexpr size_t kBlockSize = N * N; for (size_t i = start; i < end; i++) { HWY_ALIGN float fast[kBlockSize] = {0.0f}; double slow[kBlockSize] = {0.0}; fast[i] = 1.0; slow[i] = 1.0; DCTSlow(slow); ComputeDCT(fast); for (size_t k = 0; k < kBlockSize; ++k) { EXPECT_NEAR(fast[k], slow[k], accuracy / N) << "i = " << i << ", k = " << k << ", N = " << N; } } } template void TestIdctAccuracy(float accuracy, size_t start = 0, size_t end = N * N) { constexpr size_t kBlockSize = N * N; for (size_t i = start; i < end; i++) { HWY_ALIGN float fast[kBlockSize] = {0.0f}; double slow[kBlockSize] = {0.0}; fast[i] = 1.0; slow[i] = 1.0; IDCTSlow(slow); ComputeIDCT(fast); for (size_t k = 0; k < kBlockSize; ++k) { EXPECT_NEAR(fast[k], slow[k], accuracy * N) << "i = " << i << ", k = " << k << ", N = " << N; } } } template void TestInverseT(float accuracy) { ThreadPoolInternal pool(N < 32 ? 0 : 8); enum { kBlockSize = N * N }; EXPECT_TRUE(RunOnPool( &pool, 0, kBlockSize, ThreadPool::NoInit, [accuracy](const uint32_t task, size_t /*thread*/) { const size_t i = static_cast(task); HWY_ALIGN float x[kBlockSize] = {0.0f}; x[i] = 1.0; ComputeIDCT(x); ComputeDCT(x); for (size_t k = 0; k < kBlockSize; ++k) { EXPECT_NEAR(x[k], (k == i) ? 1.0f : 0.0f, accuracy) << "i = " << i << ", k = " << k; } }, "TestInverse")); } void InverseTest() { TestInverseT<8>(1e-6f); TestInverseT<16>(1e-6f); TestInverseT<32>(3e-6f); } template void TestDctTranspose(float accuracy, size_t start = 0, size_t end = N * N) { constexpr size_t kBlockSize = N * N; for (size_t i = start; i < end; i++) { for (size_t j = 0; j < kBlockSize; ++j) { // We check that = . // That means (Me_j)_i = (M^\dagger{}e_i)_j // x := Me_j HWY_ALIGN float x[kBlockSize] = {0.0f}; x[j] = 1.0; ComputeIDCT(x); // y := M^\dagger{}e_i HWY_ALIGN float y[kBlockSize] = {0.0f}; y[i] = 1.0; ComputeDCT(y); EXPECT_NEAR(x[i] / N, y[j] * N, accuracy) << "i = " << i << ", j = " << j; } } } template void TestSlowInverse(float accuracy, size_t start = 0, size_t end = N * N) { constexpr size_t kBlockSize = N * N; for (size_t i = start; i < end; i++) { double x[kBlockSize] = {0.0f}; x[i] = 1.0; DCTSlow(x); IDCTSlow(x); for (size_t k = 0; k < kBlockSize; ++k) { EXPECT_NEAR(x[k], (k == i) ? 1.0f : 0.0f, accuracy) << "i = " << i << ", k = " << k; } } } template void TestRectInverseT(float accuracy) { constexpr size_t kBlockSize = ROWS * COLS; for (size_t i = 0; i < kBlockSize; ++i) { HWY_ALIGN float x[kBlockSize] = {0.0f}; HWY_ALIGN float out[kBlockSize] = {0.0f}; x[i] = 1.0; HWY_ALIGN float coeffs[kBlockSize] = {0.0f}; HWY_ALIGN float scratch_space[kBlockSize * 2]; ComputeScaledDCT()(DCTFrom(x, COLS), coeffs, scratch_space); ComputeScaledIDCT()(coeffs, DCTTo(out, COLS), scratch_space); for (size_t k = 0; k < kBlockSize; ++k) { EXPECT_NEAR(out[k], (k == i) ? 1.0f : 0.0f, accuracy) << "i = " << i << ", k = " << k << " ROWS = " << ROWS << " COLS = " << COLS; } } } void TestRectInverse() { TestRectInverseT<16, 32>(1e-6f); TestRectInverseT<8, 32>(1e-6f); TestRectInverseT<8, 16>(1e-6f); TestRectInverseT<4, 8>(1e-6f); TestRectInverseT<2, 4>(1e-6f); TestRectInverseT<1, 4>(1e-6f); TestRectInverseT<1, 2>(1e-6f); TestRectInverseT<32, 16>(1e-6f); TestRectInverseT<32, 8>(1e-6f); TestRectInverseT<16, 8>(1e-6f); TestRectInverseT<8, 4>(1e-6f); TestRectInverseT<4, 2>(1e-6f); TestRectInverseT<4, 1>(1e-6f); TestRectInverseT<2, 1>(1e-6f); } template void TestRectTransposeT(float accuracy) { constexpr size_t kBlockSize = ROWS * COLS; HWY_ALIGN float scratch_space[kBlockSize * 2]; for (size_t px = 0; px < COLS; ++px) { for (size_t py = 0; py < ROWS; ++py) { HWY_ALIGN float x1[kBlockSize] = {0.0f}; HWY_ALIGN float x2[kBlockSize] = {0.0f}; HWY_ALIGN float coeffs1[kBlockSize] = {0.0f}; HWY_ALIGN float coeffs2[kBlockSize] = {0.0f}; x1[py * COLS + px] = 1; x2[px * ROWS + py] = 1; constexpr size_t OUT_ROWS = ROWS < COLS ? ROWS : COLS; constexpr size_t OUT_COLS = ROWS < COLS ? COLS : ROWS; ComputeScaledDCT()(DCTFrom(x1, COLS), coeffs1, scratch_space); ComputeScaledDCT()(DCTFrom(x2, ROWS), coeffs2, scratch_space); for (size_t x = 0; x < OUT_COLS; ++x) { for (size_t y = 0; y < OUT_ROWS; ++y) { EXPECT_NEAR(coeffs1[y * OUT_COLS + x], coeffs2[y * OUT_COLS + x], accuracy) << " px = " << px << ", py = " << py << ", x = " << x << ", y = " << y; } } } } } void TestRectTranspose() { TestRectTransposeT<16, 32>(1e-6f); TestRectTransposeT<8, 32>(1e-6f); TestRectTransposeT<8, 16>(1e-6f); TestRectTransposeT<4, 8>(1e-6f); TestRectTransposeT<2, 4>(1e-6f); TestRectTransposeT<1, 4>(1e-6f); TestRectTransposeT<1, 2>(1e-6f); // Identical to 8, 16 // TestRectTranspose<16, 8>(1e-6f); } void TestDctAccuracyShard(size_t shard) { if (shard == 0) { TestDctAccuracy<1>(1.1E-7f); TestDctAccuracy<2>(1.1E-7f); TestDctAccuracy<4>(1.1E-7f); TestDctAccuracy<8>(1.1E-7f); TestDctAccuracy<16>(1.3E-7f); } TestDctAccuracy<32>(1.1E-7f, 32 * shard, 32 * (shard + 1)); } void TestIdctAccuracyShard(size_t shard) { if (shard == 0) { TestIdctAccuracy<1>(1E-7f); TestIdctAccuracy<2>(1E-7f); TestIdctAccuracy<4>(1E-7f); TestIdctAccuracy<8>(1E-7f); TestIdctAccuracy<16>(1E-7f); } TestIdctAccuracy<32>(1E-7f, 32 * shard, 32 * (shard + 1)); } void TestDctTransposeShard(size_t shard) { if (shard == 0) { TestDctTranspose<8>(1E-6f); TestDctTranspose<16>(1E-6f); } TestDctTranspose<32>(3E-6f, 32 * shard, 32 * (shard + 1)); } void TestSlowInverseShard(size_t shard) { if (shard == 0) { TestSlowInverse<1>(1E-5f); TestSlowInverse<2>(1E-5f); TestSlowInverse<4>(1E-5f); TestSlowInverse<8>(1E-5f); TestSlowInverse<16>(1E-5f); } TestSlowInverse<32>(1E-5f, 32 * shard, 32 * (shard + 1)); } // NOLINTNEXTLINE(google-readability-namespace-comments) } // namespace HWY_NAMESPACE } // namespace jxl HWY_AFTER_NAMESPACE(); #if HWY_ONCE namespace jxl { class TransposeTest : public hwy::TestWithParamTarget {}; HWY_TARGET_INSTANTIATE_TEST_SUITE_P(TransposeTest); HWY_EXPORT_AND_TEST_P(TransposeTest, TransposeTest); HWY_EXPORT_AND_TEST_P(TransposeTest, InverseTest); HWY_EXPORT_AND_TEST_P(TransposeTest, ColumnDctRoundtrip); HWY_EXPORT_AND_TEST_P(TransposeTest, TestRectInverse); HWY_EXPORT_AND_TEST_P(TransposeTest, TestRectTranspose); // Tests in the DctShardedTest class are sharded for N=32. class DctShardedTest : public ::hwy::TestWithParamTargetAndT {}; std::vector ShardRange(uint32_t n) { #ifdef JXL_DISABLE_SLOW_TESTS JXL_ASSERT(n > 6); std::vector ret = {0, 1, 3, 5, n - 1}; #else std::vector ret(n); std::iota(ret.begin(), ret.end(), 0); #endif // JXL_DISABLE_SLOW_TESTS return ret; } HWY_TARGET_INSTANTIATE_TEST_SUITE_P_T(DctShardedTest, ::testing::ValuesIn(ShardRange(32))); HWY_EXPORT_AND_TEST_P_T(DctShardedTest, TestDctAccuracyShard); HWY_EXPORT_AND_TEST_P_T(DctShardedTest, TestIdctAccuracyShard); HWY_EXPORT_AND_TEST_P_T(DctShardedTest, TestDctTransposeShard); HWY_EXPORT_AND_TEST_P_T(DctShardedTest, TestSlowInverseShard); } // namespace jxl #endif // HWY_ONCE