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4x4 implementation, tests

pull/2076/head
Dmitry Pentin 4 years ago
parent
6eceb6c0eb
commit
03407f14e3
2 changed files with 202 additions and 90 deletions
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  1. 214
      src/ImageSharp/Formats/Jpeg/Components/ScaledFloatingPointDCT.cs
  2. 78
      tests/ImageSharp.Tests/Formats/Jpg/DCTTests.cs

214
src/ImageSharp/Formats/Jpeg/Components/ScaledFloatingPointDCT.cs
View File

@ -4,6 +4,7 @@
using System;
using System.Runtime.CompilerServices;
#pragma warning disable IDE0078
namespace SixLabors.ImageSharp.Formats.Jpeg.Components
{
/// <summary>
@ -14,10 +15,22 @@ namespace SixLabors.ImageSharp.Formats.Jpeg.Components
/// </remarks>
internal static class ScaledFloatingPointDCT
{
#pragma warning disable SA1310 // naming rules violation warnings
private const float F32_0_541196100 = 0.541196100f;
private const float F32_0_765366865 = 0.765366865f;
private const float F32_1_847759065 = 1.847759065f;
#pragma warning disable SA1310
private const float FP32_0_541196100 = 0.541196100f;
private const float FP32_0_765366865 = 0.765366865f;
private const float FP32_1_847759065 = 1.847759065f;
private const float FP32_0_211164243 = 0.211164243f;
private const float FP32_1_451774981 = 1.451774981f;
private const float FP32_2_172734803 = 2.172734803f;
private const float FP32_1_061594337 = 1.061594337f;
private const float FP32_0_509795579 = 0.509795579f;
private const float FP32_0_601344887 = 0.601344887f;
private const float FP32_0_899976223 = 0.899976223f;
private const float FP32_2_562915447 = 2.562915447f;
private const float FP32_0_720959822 = 0.720959822f;
private const float FP32_0_850430095 = 0.850430095f;
private const float FP32_1_272758580 = 1.272758580f;
private const float FP32_3_624509785 = 3.624509785f;
#pragma warning restore SA1310
/// <summary>
@ -39,76 +52,169 @@ namespace SixLabors.ImageSharp.Formats.Jpeg.Components
quantTable.TransposeInplace();
}
public static float TransformIDCT_1x1(float dc, float dequantizer, float normalizationValue, float maxValue)
=> MathF.Round(Numerics.Clamp((dc * dequantizer) + normalizationValue, 0, maxValue));
public static void TransformIDCT_2x2(ref Block8x8F block, ref Block8x8F dequantTable, float normalizationValue, float maxValue)
{
float tmp4 = block[0] * dequantTable[0];
float tmp5 = block[1] * dequantTable[1];
float tmp0 = tmp4 + tmp5;
float tmp2 = tmp4 - tmp5;
tmp4 = block[8] * dequantTable[8];
tmp5 = block[9] * dequantTable[9];
float tmp1 = tmp4 + tmp5;
float tmp3 = tmp4 - tmp5;
block[0] = MathF.Round(Numerics.Clamp(tmp0 + tmp1 + normalizationValue, 0, maxValue));
block[1] = MathF.Round(Numerics.Clamp(tmp0 - tmp1 + normalizationValue, 0, maxValue));
block[8] = MathF.Round(Numerics.Clamp(tmp2 + tmp3 + normalizationValue, 0, maxValue));
block[9] = MathF.Round(Numerics.Clamp(tmp2 - tmp3 + normalizationValue, 0, maxValue));
}
/// <summary>
/// Apply 2D floating point 'donwscaling' IDCT inplace producing
/// 8x8 -> 4x4 result.
/// </summary>
/// <remarks>
/// Resulting matrix is stored in the top left 4x4 part of the
/// <paramref name="block"/>.
/// </remarks>
/// <param name="block">Input block.</param>
/// <param name="dequantTable">Dequantization table adjusted by <see cref="AdjustToIDCT(ref Block8x8F)"/>.</param>
/// <param name="normalizationValue">Output range normalization value, 1/2 of the <paramref name="maxValue"/>.</param>
/// <param name="maxValue">Maximum value of the output range.</param>
public static void TransformIDCT_4x4(ref Block8x8F block, ref Block8x8F dequantTable, float normalizationValue, float maxValue)
{
for (int ctr = 0; ctr < 4; ctr++)
for (int ctr = 0; ctr < 8; ctr++)
{
// Don't process row 4, second pass doesn't use it
if (ctr == 4)
{
continue;
}
// Even part
float tmp0 = block[ctr * 8] * dequantTable[ctr * 8];
float tmp2 = block[(ctr * 8) + 2] * dequantTable[(ctr * 8) + 2];
float tmp0 = block[(ctr * 8) + 0] * dequantTable[(ctr * 8) + 0] * 2;
float z2 = block[(ctr * 8) + 2] * dequantTable[(ctr * 8) + 2];
float z3 = block[(ctr * 8) + 6] * dequantTable[(ctr * 8) + 6];
float tmp2 = (z2 * FP32_1_847759065) + (z3 * -FP32_0_765366865);
float tmp10 = tmp0 + tmp2;
float tmp12 = tmp0 - tmp2;
// Odd part
float z2 = block[(ctr * 8) + 1] * dequantTable[(ctr * 8) + 1];
float z3 = block[(ctr * 8) + 3] * dequantTable[(ctr * 8) + 3];
float z1 = (z2 + z3) * F32_0_541196100;
tmp0 = z1 + (z2 * F32_0_765366865);
tmp2 = z1 - (z3 * F32_1_847759065);
/* Final output stage */
block[ctr + 4] = tmp10 + tmp0;
block[ctr + 28] = tmp10 - tmp0;
block[ctr + 12] = tmp12 + tmp2;
block[ctr + 20] = tmp12 - tmp2;
float z1 = block[(ctr * 8) + 7] * dequantTable[(ctr * 8) + 7];
z2 = block[(ctr * 8) + 5] * dequantTable[(ctr * 8) + 5];
z3 = block[(ctr * 8) + 3] * dequantTable[(ctr * 8) + 3];
float z4 = block[(ctr * 8) + 1] * dequantTable[(ctr * 8) + 1];
tmp0 = (z1 * -FP32_0_211164243) +
(z2 * FP32_1_451774981) +
(z3 * -FP32_2_172734803) +
(z4 * FP32_1_061594337);
tmp2 = (z1 * -FP32_0_509795579) +
(z2 * -FP32_0_601344887) +
(z3 * FP32_0_899976223) +
(z4 * FP32_2_562915447);
// temporal result is saved to +4 shifted indices
// because result is saved into the top left 2x2 region of the
// input block
block[(ctr * 8) + 0 + 4] = (tmp10 + tmp2) / 2;
block[(ctr * 8) + 3 + 4] = (tmp10 - tmp2) / 2;
block[(ctr * 8) + 1 + 4] = (tmp12 + tmp0) / 2;
block[(ctr * 8) + 2 + 4] = (tmp12 - tmp0) / 2;
}
for (int ctr = 0; ctr < 4; ctr++)
{
// Even part
float tmp0 = block[(ctr * 8) + 0 + 4];
float tmp2 = block[(ctr * 8) + 2 + 4];
float tmp0 = block[ctr + (8 * 0) + 4] * 2;
float tmp2 = (block[ctr + (8 * 2) + 4] * FP32_1_847759065) + (block[ctr + (8 * 6) + 4] * -FP32_0_765366865);
float tmp10 = tmp0 + tmp2;
float tmp12 = tmp0 - tmp2;
// Odd part
float z2 = block[(ctr * 8) + 1 + 4];
float z3 = block[(ctr * 8) + 3 + 4];
float z1 = (z2 + z3) * F32_0_541196100;
tmp0 = z1 + (z2 * F32_0_765366865);
tmp2 = z1 - (z3 * F32_1_847759065);
/* Final output stage */
block[(ctr * 8) + 0] = MathF.Round(Numerics.Clamp(tmp10 + tmp0 + normalizationValue, 0, maxValue));
block[(ctr * 8) + 3] = MathF.Round(Numerics.Clamp(tmp10 - tmp0 + normalizationValue, 0, maxValue));
block[(ctr * 8) + 1] = MathF.Round(Numerics.Clamp(tmp12 + tmp2 + normalizationValue, 0, maxValue));
block[(ctr * 8) + 2] = MathF.Round(Numerics.Clamp(tmp12 - tmp2 + normalizationValue, 0, maxValue));
float z1 = block[ctr + (8 * 7) + 4];
float z2 = block[ctr + (8 * 5) + 4];
float z3 = block[ctr + (8 * 3) + 4];
float z4 = block[ctr + (8 * 1) + 4];
tmp0 = (z1 * -FP32_0_211164243) +
(z2 * FP32_1_451774981) +
(z3 * -FP32_2_172734803) +
(z4 * FP32_1_061594337);
tmp2 = (z1 * -FP32_0_509795579) +
(z2 * -FP32_0_601344887) +
(z3 * FP32_0_899976223) +
(z4 * FP32_2_562915447);
// Save results to the top left 4x4 subregion
block[(ctr * 8) + 0] = MathF.Round(Numerics.Clamp(((tmp10 + tmp2) / 2) + normalizationValue, 0, maxValue));
block[(ctr * 8) + 3] = MathF.Round(Numerics.Clamp(((tmp10 - tmp2) / 2) + normalizationValue, 0, maxValue));
block[(ctr * 8) + 1] = MathF.Round(Numerics.Clamp(((tmp12 + tmp0) / 2) + normalizationValue, 0, maxValue));
block[(ctr * 8) + 2] = MathF.Round(Numerics.Clamp(((tmp12 - tmp0) / 2) + normalizationValue, 0, maxValue));
}
}
/// <summary>
/// Apply 2D floating point 'donwscaling' IDCT inplace producing
/// 8x8 -> 2x2 result.
/// </summary>
/// <remarks>
/// Resulting matrix is stored in the top left 2x2 part of the
/// <paramref name="block"/>.
/// </remarks>
/// <param name="block">Input block.</param>
/// <param name="dequantTable">Dequantization table adjusted by <see cref="AdjustToIDCT(ref Block8x8F)"/>.</param>
/// <param name="normalizationValue">Output range normalization value, 1/2 of the <paramref name="maxValue"/>.</param>
/// <param name="maxValue">Maximum value of the output range.</param>
public static void TransformIDCT_2x2(ref Block8x8F block, ref Block8x8F dequantTable, float normalizationValue, float maxValue)
{
for (int ctr = 0; ctr < 8; ctr++)
{
// Don't process rows 2/4/6, second pass doesn't use it
if (ctr == 2 || ctr == 4 || ctr == 6)
{
continue;
}
// Even part
float tmp0;
float z1 = block[(ctr * 8) + 0] * dequantTable[(ctr * 8) + 0];
float tmp10 = z1 * 4;
// Odd part
z1 = block[(ctr * 8) + 7] * dequantTable[(ctr * 8) + 7];
tmp0 = z1 * -FP32_0_720959822;
z1 = block[(ctr * 8) + 5] * dequantTable[(ctr * 8) + 5];
tmp0 += z1 * FP32_0_850430095;
z1 = block[(ctr * 8) + 3] * dequantTable[(ctr * 8) + 3];
tmp0 += z1 * -FP32_1_272758580;
z1 = block[(ctr * 8) + 1] * dequantTable[(ctr * 8) + 1];
tmp0 += z1 * FP32_3_624509785;
// temporal result is saved to +2 shifted indices
// because result is saved into the top left 2x2 region of the
// input block
block[(ctr * 8) + 2] = (tmp10 + tmp0) / 4;
block[(ctr * 8) + 3] = (tmp10 - tmp0) / 4;
}
for (int ctr = 0; ctr < 2; ctr++)
{
// Even part
float tmp10 = block[ctr + (8 * 0) + 2] * 4;
// Odd part
float tmp0 = (block[ctr + (8 * 7) + 2] * -FP32_0_720959822) +
(block[ctr + (8 * 5) + 2] * FP32_0_850430095) +
(block[ctr + (8 * 3) + 2] * -FP32_1_272758580) +
(block[ctr + (8 * 1) + 2] * FP32_3_624509785);
// Save results to the top left 2x2 subregion
block[(ctr * 8) + 0] = MathF.Round(Numerics.Clamp(((tmp10 + tmp0) / 4) + normalizationValue, 0, maxValue));
block[(ctr * 8) + 1] = MathF.Round(Numerics.Clamp(((tmp10 - tmp0) / 4) + normalizationValue, 0, maxValue));
}
}
/// <summary>
/// Apply 2D floating point 'donwscaling' IDCT inplace producing
/// 8x8 -> 1x1 result.
/// </summary>
/// <param name="dc">Direct current term value from input block.</param>
/// <param name="dequantizer">Dequantization value.</param>
/// <param name="normalizationValue">Output range normalization value, 1/2 of the <paramref name="maxValue"/>.</param>
/// <param name="maxValue">Maximum value of the output range.</param>
public static float TransformIDCT_1x1(float dc, float dequantizer, float normalizationValue, float maxValue)
=> MathF.Round(Numerics.Clamp((dc * dequantizer) + normalizationValue, 0, maxValue));
}
}
#pragma warning restore IDE0078

78
tests/ImageSharp.Tests/Formats/Jpg/DCTTests.cs
View File

@ -107,9 +107,6 @@ namespace SixLabors.ImageSharp.Tests.Formats.Jpg
this.CompareBlocks(expected, srcBlock, 1f);
}
// Inverse transform
// This test covers entire IDCT conversion chain
// This test checks all hardware implementations
[Theory]
[InlineData(1)]
[InlineData(2)]
@ -193,32 +190,34 @@ namespace SixLabors.ImageSharp.Tests.Formats.Jpg
srcBlock.TransposeInplace();
ScaledFloatingPointDCT.TransformIDCT_4x4(ref srcBlock, ref dequantMatrix, NormalizationValue, MaxOutputValue);
Block8x8F DEBUG_VARIABLE = Block8x8F.Load(expectedDest);
var comparer = new ApproximateFloatComparer(1f);
Span<float> expectedSpan = expectedDest.AsSpan();
Span<float> actualSpan = srcBlock.ToArray().AsSpan();
AssertEquality_4x4(expectedSpan, actualSpan, comparer);
AssertEquality_4x4(expectedSpan.Slice(2), actualSpan.Slice(8), comparer);
AssertEquality_4x4(expectedSpan.Slice(4), actualSpan.Slice(16), comparer);
AssertEquality_4x4(expectedSpan.Slice(6), actualSpan.Slice(24), comparer);
// resulting matrix is 4x4
for (int y = 0; y < 4; y++)
{
for (int x = 0; x < 4; x++)
{
AssertScaledElementEquality(expectedSpan.Slice((y * 16) + (x * 2)), actualSpan.Slice((y * 8) + x));
}
}
static void AssertEquality_4x4(Span<float> expected, Span<float> actual, ApproximateFloatComparer comparer)
static void AssertScaledElementEquality(Span<float> expected, Span<float> actual)
{
float average_4x4 = 0f;
float average2x2 = 0f;
for (int y = 0; y < 2; y++)
{
int y8 = y * 8;
for (int x = 0; x < 2; x++)
{
float clamped = Numerics.Clamp(expected[y8 + x] + NormalizationValue, 0, MaxOutputValue);
average_4x4 += clamped;
average2x2 += clamped;
}
}
average_4x4 /= 4f;
average2x2 = MathF.Round(average2x2 / 4f);
Assert.Equal((int)average2x2, (int)actual[0]);
}
}
@ -253,25 +252,35 @@ namespace SixLabors.ImageSharp.Tests.Formats.Jpg
srcBlock.TransposeInplace();
ScaledFloatingPointDCT.TransformIDCT_2x2(ref srcBlock, ref dequantMatrix, NormalizationValue, MaxOutputValue);
Block8x8F DEBUG_VARIABLE = Block8x8F.Load(expectedDest);
var comparer = new ApproximateFloatComparer(0.1f);
Span<float> expectedSpan = expectedDest.AsSpan();
Span<float> actualSpan = srcBlock.ToArray().AsSpan();
// top-left
float topLeftExpected = (float)Math.Round(Numerics.Clamp(expectedDest[0] + NormalizationValue, 0, MaxOutputValue));
Assert.Equal(topLeftExpected, srcBlock[0], comparer);
// resulting matrix is 2x2
for (int y = 0; y < 2; y++)
{
for (int x = 0; x < 2; x++)
{
AssertScaledElementEquality(expectedSpan.Slice((y * 32) + (x * 4)), actualSpan.Slice((y * 8) + x));
}
}
// top-right
float topRightExpected = (float)Math.Round(Numerics.Clamp(expectedDest[7] + NormalizationValue, 0, MaxOutputValue));
Assert.Equal(topRightExpected, srcBlock[1], comparer);
static void AssertScaledElementEquality(Span<float> expected, Span<float> actual)
{
float average4x4 = 0f;
for (int y = 0; y < 4; y++)
{
int y8 = y * 8;
for (int x = 0; x < 4; x++)
{
float clamped = Numerics.Clamp(expected[y8 + x] + NormalizationValue, 0, MaxOutputValue);
average4x4 += clamped;
}
}
// bot-left
float botLeftExpected = (float)Math.Round(Numerics.Clamp(expectedDest[56] + NormalizationValue, 0, MaxOutputValue));
Assert.Equal(botLeftExpected, srcBlock[8], comparer);
average4x4 = MathF.Round(average4x4 / 16f);
// bot-right
float botRightExpected = (float)Math.Round(Numerics.Clamp(expectedDest[63] + NormalizationValue, 0, MaxOutputValue));
Assert.Equal(botRightExpected, srcBlock[9], comparer);
Assert.Equal((int)average4x4, (int)actual[0]);
}
}
[Theory]
@ -302,21 +311,18 @@ namespace SixLabors.ImageSharp.Tests.Formats.Jpg
// testee
// IDCT implementation tranforms blocks after transposition
srcBlock.TransposeInplace();
// But DC lays on main diagonal which is not changed by transposition
float actual = ScaledFloatingPointDCT.TransformIDCT_1x1(
srcBlock[0],
dequantMatrix[0],
NormalizationValue,
MaxOutputValue);
float expected = (float)Math.Round(Numerics.Clamp(expectedDest[0] + NormalizationValue, 0, MaxOutputValue));
float expected = MathF.Round(Numerics.Clamp(expectedDest[0] + NormalizationValue, 0, MaxOutputValue));
Assert.Equal(actual, expected, new ApproximateFloatComparer(0.1f));
Assert.Equal((int)actual, (int)expected);
}
// Forward transform
// This test covers entire FDCT conversion chain
// This test checks all hardware implementations
[Theory]
[InlineData(1)]
[InlineData(2)]

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