/// Tests that method
/// <see cref="SingularValueDecomposition
/// .Decompose(ComplexMatrix, out ComplexMatrix, out ComplexMatrix)"/>,
/// method has
/// been properly implemented.
public static void Succeed(
TestableSingularValueDecomposition <TestableComplexMatrix, ComplexMatrix> testableSvd)
{
var testableMatrix = testableSvd.TestableMatrix;
#region Writable
// Dense
{
var actualValues = SingularValueDecomposition.Decompose(
testableMatrix.AsDense,
out ComplexMatrix actualLeftVectors,
out ComplexMatrix actualConjugateTransposedRightVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSvd
.Values,
actual: actualValues,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.LeftVectors,
actual: actualLeftVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.ConjugateTransposedRightVectors,
actual: actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.TestableMatrix.AsDense,
actual: actualLeftVectors * actualValues
* actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
}
// Sparse
{
var actualValues = SingularValueDecomposition.Decompose(
testableMatrix.AsSparse,
out ComplexMatrix actualLeftVectors,
out ComplexMatrix actualConjugateTransposedRightVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSvd
.Values,
actual: actualValues,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.LeftVectors,
actual: actualLeftVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.ConjugateTransposedRightVectors,
actual: actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.TestableMatrix.AsDense,
actual: actualLeftVectors * actualValues
* actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
}
#endregion
#region ReadOnly
// Dense
{
var actualValues = SingularValueDecomposition.Decompose(
testableMatrix.AsDense.AsReadOnly(),
out ComplexMatrix actualLeftVectors,
out ComplexMatrix actualConjugateTransposedRightVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSvd
.Values,
actual: actualValues,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.LeftVectors,
actual: actualLeftVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.ConjugateTransposedRightVectors,
actual: actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.TestableMatrix.AsDense,
actual: actualLeftVectors * actualValues
* actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
}
// Sparse
{
var actualValues = SingularValueDecomposition.Decompose(
testableMatrix.AsSparse.AsReadOnly(),
out ComplexMatrix actualLeftVectors,
out ComplexMatrix actualConjugateTransposedRightVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSvd
.Values,
actual: actualValues,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.LeftVectors,
actual: actualLeftVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.ConjugateTransposedRightVectors,
actual: actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSvd
.TestableMatrix.AsDense,
actual: actualLeftVectors * actualValues
* actualConjugateTransposedRightVectors,
delta: SingularValueDecompositionTest.Accuracy);
}
#endregion
}
/// Tests that method
/// <see cref="SpectralDecomposition
/// .Decompose(ComplexMatrix, bool, out ComplexMatrix)"/>,
/// method has
/// been properly implemented.
public static void Succeed(
TestableSpectralDecomposition <TestableComplexMatrix, ComplexMatrix> testableSD)
{
var testableMatrix = testableSD.TestableMatrix;
#region Writable
// Dense, Lower
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsDense,
lowerTriangularPart: true,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfLower,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Sparse, Lower
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsSparse,
lowerTriangularPart: true,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfLower,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Dense, Upper
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsDense,
lowerTriangularPart: false,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfUpper,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Sparse, Upper
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsSparse,
lowerTriangularPart: false,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfUpper,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
#endregion
#region ReadOnly
// Dense, Lower
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsDense.AsReadOnly(),
lowerTriangularPart: true,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfLower,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Sparse, Lower
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsSparse.AsReadOnly(),
lowerTriangularPart: true,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfLower,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Dense, Upper
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsDense.AsReadOnly(),
lowerTriangularPart: false,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfUpper,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
// Sparse, Upper
{
var actualValues = SpectralDecomposition.Decompose(
testableMatrix.AsSparse.AsReadOnly(),
lowerTriangularPart: false,
out ComplexMatrix actualVectors);
DoubleMatrixAssert.AreEqual(
expected: testableSD
.Values,
actual: actualValues,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.VectorsIfUpper,
actual: actualVectors,
delta: SpectralDecompositionTest.Accuracy);
ComplexMatrixAssert.AreEqual(
expected: testableSD
.TestableMatrix.AsDense,
actual: actualVectors * actualValues
* actualVectors.ConjugateTranspose(),
delta: SpectralDecompositionTest.Accuracy);
}
#endregion
}