// Copyright (c) Six Labors.
// Licensed under the Six Labors Split License.
using System.Runtime.Intrinsics;
using SixLabors.ImageSharp.Formats.Heif.Av1.Transform;
using SixLabors.ImageSharp.Formats.Heif.Av1.Transform.Forward;
using SixLabors.ImageSharp.Tests.TestUtilities;
namespace SixLabors.ImageSharp.Tests.Formats.Heif.Av1;
[Trait("Format", "Avif")]
public class Av1ForwardTransformTests
{
///
/// The hardware configurations covering every transform SIMD tier and the scalar fallback.
///
private const HwIntrinsics TransformConfigurations =
HwIntrinsics.AllowAll | HwIntrinsics.DisableAVX512F | HwIntrinsics.DisableAVX | HwIntrinsics.DisableHWIntrinsic;
///
/// Gets every normative transform size, type, and bit-depth combination exercised by the forward and inverse suites.
///
public static TheoryData ValidTransformCases { get; } = CreateValidTransformCases();
///
/// Verifies DCT operator parity across the supported hardware feature levels.
///
[Fact]
public void DctOperatorsProduceIdenticalScalarAndSimdResults()
=> FeatureTestRunner.RunWithHwIntrinsicsFeature(AssertDctOperatorParity, TransformConfigurations);
///
/// Verifies ADST operator parity across the supported hardware feature levels.
///
[Fact]
public void AdstOperatorsProduceIdenticalScalarAndSimdResults()
=> FeatureTestRunner.RunWithHwIntrinsicsFeature(AssertAdstOperatorParity, TransformConfigurations);
///
/// Verifies identity operator parity across the supported hardware feature levels.
///
[Fact]
public void IdentityOperatorsProduceIdenticalScalarAndSimdResults()
=> FeatureTestRunner.RunWithHwIntrinsicsFeature(AssertIdentityOperatorParity, TransformConfigurations);
///
/// Verifies the complete sixteen-lane two-dimensional traversal matrix across hardware feature levels.
///
[Fact]
public void Vector512KernelsMatchScalarForEveryApplicableConfiguration()
=> FeatureTestRunner.RunWithHwIntrinsicsFeature(AssertVector512TransformParity, TransformConfigurations);
///
/// Verifies the forward DCT operators against their scalar implementations.
///
private static void AssertDctOperatorParity()
{
AssertOperatorParity(4);
AssertOperatorParity(8);
AssertOperatorParity(16);
AssertOperatorParity(32);
AssertOperatorParity(64);
}
///
/// Verifies the forward ADST operators against their scalar implementations.
///
private static void AssertAdstOperatorParity()
{
AssertOperatorParity(4);
AssertOperatorParity(8);
AssertOperatorParity(16);
}
///
/// Verifies the forward identity operators against their scalar implementations.
///
private static void AssertIdentityOperatorParity()
{
AssertOperatorParity(4);
AssertOperatorParity(8);
AssertOperatorParity(16);
AssertOperatorParity(32);
}
///
/// Verifies that every applicable SIMD traversal produces the same coefficients as the scalar traversal.
///
/// The integral value.
/// The integral value.
/// The coded sample bit depth.
[Theory]
[MemberData(nameof(ValidTransformCases))]
public void TwoDimensionalSimdKernelsMatchScalarForEveryValidConfiguration(
int transformTypeValue,
int transformSizeValue,
int bitDepth)
{
Av1TransformType transformType = (Av1TransformType)transformTypeValue;
Av1TransformSize transformSize = (Av1TransformSize)transformSizeValue;
Av1Transform2dFlipConfiguration config = Av1Transform2dFlipConfiguration.CreateForward(transformType, transformSize, bitDepth);
DispatchColumn(transformType, transformSize, bitDepth, ref config);
}
[Fact]
public void TransformDispatchDoesNotAllocatePerBlock()
{
const int width = 8;
short[] input = new short[width * width];
int[] output = new int[input.Length];
int[] workspace = new int[Av1TransformWorkspace.MaximumLength];
Av1ForwardTransformer.Transform2d(input, output, width, Av1TransformType.DctDct, Av1TransformSize.Size8x8, 8, workspace);
long before = GC.GetAllocatedBytesForCurrentThread();
for (int iteration = 0; iteration < 32; iteration++)
{
Av1ForwardTransformer.Transform2d(input, output, width, Av1TransformType.DctDct, Av1TransformSize.Size8x8, 8, workspace);
}
long allocated = GC.GetAllocatedBytesForCurrentThread() - before;
Assert.Equal(0, allocated);
}
///
/// Compares one forward transform operator across scalar and all SIMD lane widths.
///
/// The forward transform operator.
/// The transform length.
private static void AssertOperatorParity(int length)
where TOperator : struct, IAv1Transform1dOperator
{
const int cosBit = 12;
Av1TransformStageRange stageRange = default;
for (int index = 0; index < Av1Transform2dFlipConfiguration.MaxStageNumber; index++)
{
stageRange[index] = 24;
}
Av1TransformVector> input128 = default;
Av1TransformVector> output128 = default;
Av1TransformVector> step128 = default;
Av1TransformVector> input256 = default;
Av1TransformVector> output256 = default;
Av1TransformVector> step256 = default;
Av1TransformVector> input512 = default;
Av1TransformVector> output512 = default;
Av1TransformVector> step512 = default;
for (int index = 0; index < length; index++)
{
input128[index] = Vector128.Create(
GetInputValue(index, 0),
GetInputValue(index, 1),
GetInputValue(index, 2),
GetInputValue(index, 3));
input256[index] = Vector256.Create(
GetInputValue(index, 0),
GetInputValue(index, 1),
GetInputValue(index, 2),
GetInputValue(index, 3),
GetInputValue(index, 4),
GetInputValue(index, 5),
GetInputValue(index, 6),
GetInputValue(index, 7));
input512[index] = Vector512.Create(
GetInputValue(index, 0),
GetInputValue(index, 1),
GetInputValue(index, 2),
GetInputValue(index, 3),
GetInputValue(index, 4),
GetInputValue(index, 5),
GetInputValue(index, 6),
GetInputValue(index, 7),
GetInputValue(index, 8),
GetInputValue(index, 9),
GetInputValue(index, 10),
GetInputValue(index, 11),
GetInputValue(index, 12),
GetInputValue(index, 13),
GetInputValue(index, 14),
GetInputValue(index, 15));
}
TOperator.Transform(ref input128, ref output128, ref step128, cosBit, stageRange);
TOperator.Transform(ref input256, ref output256, ref step256, cosBit, stageRange);
TOperator.Transform(ref input512, ref output512, ref step512, cosBit, stageRange);
int[] scalarInput = new int[length];
int[] scalarOutput = new int[length];
int[] scalarStep = new int[length];
for (int lane = 0; lane < Vector512.Count; lane++)
{
for (int index = 0; index < length; index++)
{
scalarInput[index] = GetInputValue(index, lane);
}
TOperator.Transform(scalarInput, scalarOutput, scalarStep, cosBit, stageRange);
for (int index = 0; index < length; index++)
{
Assert.Equal(scalarOutput[index], output512[index].GetElement(lane));
if (lane < Vector256.Count)
{
Assert.Equal(scalarOutput[index], output256[index].GetElement(lane));
}
if (lane < Vector128.Count)
{
Assert.Equal(scalarOutput[index], output128[index].GetElement(lane));
}
}
}
}
///
/// Runs every valid forward transform configuration capable of filling a sixteen-lane tile.
///
private static void AssertVector512TransformParity()
{
for (Av1TransformSize transformSize = 0; transformSize < Av1TransformSize.AllSizes; transformSize++)
{
if (transformSize.GetWidth() < Vector512.Count || transformSize.GetHeight() < Vector512.Count)
{
continue;
}
for (Av1TransformType transformType = 0; transformType < Av1TransformType.AllTransformTypes; transformType++)
{
Av1Transform2dFlipConfiguration allowedConfig = Av1Transform2dFlipConfiguration.CreateForward(transformType, transformSize, 8);
if (!allowedConfig.IsAllowed())
{
continue;
}
for (int bitDepth = 8; bitDepth <= 12; bitDepth += 2)
{
Av1Transform2dFlipConfiguration config = Av1Transform2dFlipConfiguration.CreateForward(transformType, transformSize, bitDepth);
DispatchColumn(transformType, transformSize, bitDepth, ref config);
}
}
}
}
///
/// Creates the complete normative transform matrix shared by the forward and inverse parity tests.
///
/// The transform type, size, and bit-depth cases.
private static TheoryData CreateValidTransformCases()
{
TheoryData cases = [];
for (Av1TransformSize transformSize = 0; transformSize < Av1TransformSize.AllSizes; transformSize++)
{
for (Av1TransformType transformType = 0; transformType < Av1TransformType.AllTransformTypes; transformType++)
{
Av1Transform2dFlipConfiguration config = Av1Transform2dFlipConfiguration.CreateForward(transformType, transformSize, 8);
if (!config.IsAllowed())
{
continue;
}
// libaom verifies the low-bit-depth kernel separately from its 10- and 12-bit kernels. Keeping each
// depth as a distinct case makes any fixed-point range failure identify the exact configuration.
for (int bitDepth = 8; bitDepth <= 12; bitDepth += 2)
{
cases.Add((int)transformType, (int)transformSize, bitDepth);
}
}
}
return cases;
}
///
/// Closes the static-generic column operator selected by a transform configuration.
///
/// The compound transform type.
/// The transform-block dimensions.
/// The coded sample bit depth.
/// The forward transform configuration.
private static void DispatchColumn(
Av1TransformType transformType,
Av1TransformSize transformSize,
int bitDepth,
ref Av1Transform2dFlipConfiguration config)
{
switch (config.TransformFunctionTypeColumn)
{
case Av1TransformFunctionType.Dct4:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct8:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct16:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct32:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct64:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst4:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst8:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst16:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity4:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity8:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity16:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity32:
DispatchRow(transformType, transformSize, bitDepth, ref config);
break;
default:
Assert.Fail($"Unexpected column function {config.TransformFunctionTypeColumn} for {transformType} {transformSize}.");
break;
}
}
///
/// Closes the static-generic row operator after the column operator has been selected.
///
/// The selected column operator.
/// The compound transform type.
/// The transform-block dimensions.
/// The coded sample bit depth.
/// The forward transform configuration.
private static void DispatchRow(
Av1TransformType transformType,
Av1TransformSize transformSize,
int bitDepth,
ref Av1Transform2dFlipConfiguration config)
where TColumnOperator : struct, IAv1Transform1dOperator
{
switch (config.TransformFunctionTypeRow)
{
case Av1TransformFunctionType.Dct4:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct8:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct16:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct32:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Dct64:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst4:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst8:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Adst16:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity4:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity8:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity16:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
case Av1TransformFunctionType.Identity32:
AssertTransform2dParity(transformSize, bitDepth, ref config);
break;
default:
Assert.Fail($"Unexpected row function {config.TransformFunctionTypeRow} for {transformType} {transformSize}.");
break;
}
}
///
/// Compares scalar and SIMD forward traversals using padded rows and bounded extreme residuals.
///
/// The selected column operator.
/// The selected row operator.
/// The transform-block dimensions.
/// The coded sample bit depth.
/// The forward transform configuration.
private static void AssertTransform2dParity(
Av1TransformSize transformSize,
int bitDepth,
ref Av1Transform2dFlipConfiguration config)
where TColumnOperator : struct, IAv1Transform1dOperator
where TRowOperator : struct, IAv1Transform1dOperator
{
int width = transformSize.GetWidth();
int height = transformSize.GetHeight();
int inputStride = width + 5;
int maximum = (1 << bitDepth) - 1;
short[] input = new short[inputStride * height];
// Padded rows exercise the same edge-block layout used by the encoder. The alternating extrema are the
// bounded residual limits used by libaom's SIMD match tests and expose wrapping errors in fixed-point stages.
for (int row = 0; row < height; row++)
{
for (int column = 0; column < width; column++)
{
int index = (row * width) + column;
input[(row * inputStride) + column] = (short)((index & 3) switch
{
0 => maximum,
1 => -maximum,
2 => ((index * 73) % ((maximum * 2) + 1)) - maximum,
_ => 0,
});
}
}
int coefficientCount = width * height;
int workspaceLength = Av1TransformWorkspace.GetRequiredLength(transformSize);
int[] scalar = new int[coefficientCount];
int[] vector128 = new int[coefficientCount];
int[] scalarWorkspace = new int[workspaceLength];
int[] vector128Workspace = new int[workspaceLength];
Av1ForwardTransformer.Transform2dScalar(input, scalar, (uint)inputStride, ref config, scalarWorkspace);
Av1ForwardTransformer.Transform2dVector128(input, vector128, (uint)inputStride, ref config, vector128Workspace);
Assert.Equal(scalar, vector128);
// The production dispatcher uses 256-bit lanes only when both axes contain a complete eight-lane tile.
if (width >= Vector256.Count && height >= Vector256.Count)
{
int[] vector256 = new int[coefficientCount];
int[] vector256Workspace = new int[workspaceLength];
Av1ForwardTransformer.Transform2dVector256(input, vector256, (uint)inputStride, ref config, vector256Workspace);
Assert.Equal(scalar, vector256);
}
if (width >= Vector512.Count && height >= Vector512.Count)
{
int[] vector512 = new int[coefficientCount];
int[] vector512Workspace = new int[workspaceLength];
Av1ForwardTransformer.Transform2dVector512(input, vector512, (uint)inputStride, ref config, vector512Workspace);
Assert.Equal(scalar, vector512);
}
}
///
/// Produces deterministic bounded input for one transform position and SIMD lane.
///
/// The position within the transform.
/// The SIMD lane index.
/// The input value.
private static int GetInputValue(int index, int lane) => (((index * 73) + (lane * 151)) % 1023) - 511;
}