public void TestOfIndexed(int rows, int columns)
{
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var sparseB = SparseMatrix.OfIndexed(rows, columns, sparseA.EnumerateIndexed());
Assert.IsTrue(sparseA.Equals(sparseB));
}
public void TestMatrixSum(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var B = data.B;
var actual = A.Add(B);
CollectionAssert.AreEqual(data.ApB.Values, actual.Values);
}
public void TestKeep()
{
var data = MatrixHelper.LoadSparse(2, 2);
var A = data.A.Clone();
// Keep strict upper part of the matrix.
int nnz = A.Keep((i, j, a) => i < j);
Assert.AreEqual(nnz, 1);
Assert.AreEqual(A.NonZerosCount, 1);
}
public void TestEnumerateIndexed(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
double sum = 0;
A.EnumerateIndexed((i, j, a) => sum += a.Real * a.Real + a.Imaginary * a.Imaginary);
Assert.AreEqual(A.FrobeniusNorm(), Math.Sqrt(sum));
}
public void TestOfColumnMajor(int rows, int columns)
{
var denseData = MatrixHelper.LoadDense(rows, columns);
var denseA = denseData.A;
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var sparseB = SparseMatrix.OfColumnMajor(rows, columns, denseA.Values);
Assert.IsTrue(sparseA.Equals(sparseB));
}
public void TestMatrixVectorTransposeMultiplyUpdate(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var y = data.y;
var actual = Vector.Create(A.ColumnCount, 1.0);
A.TransposeMultiply(1.0, y, 0.0, actual);
CollectionAssert.AreEqual(data.ATy, actual);
}
public void TestMatrixVectorMultiplyUpdate(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var x = data.x;
var actual = Vector.Create(A.RowCount, 1.0);
A.Multiply(1.0, x, 0.0, actual);
CollectionAssert.AreEqual(data.Ax, actual);
}
public void TestMatrixTranspose(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var B = data.B;
var actualA = A.Transpose();
var actualB = B.Transpose();
CollectionAssert.AreEqual(data.AT.Values, actualA.Values);
CollectionAssert.AreEqual(data.BT.Values, actualB.Values);
}
public void TestDropZeros()
{
var data = MatrixHelper.LoadSparse(2, 2);
var A = data.A.Clone();
A.Values[0] = Complex.Zero;
int nnz = A.DropZeros();
Assert.AreEqual(nnz, 3);
Assert.AreEqual(A.NonZerosCount, 3);
}
public void TestOfMatrix(int rows, int columns)
{
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var sparseB = SparseMatrix.OfMatrix(sparseA);
Assert.IsTrue(sparseA.Equals(sparseB));
var denseData = MatrixHelper.LoadDense(rows, columns);
sparseB = SparseMatrix.OfMatrix(denseData.A);
Assert.IsTrue(sparseA.Equals(sparseB));
}
public void TestInfinityNorm()
{
var A = SparseMatrix.CreateDiagonal(9, 2.0);
var actual = A.InfinityNorm();
var expected = 2.0;
Assert.AreEqual(expected, actual);
var data = MatrixHelper.LoadSparse(2, 2);
actual = data.A.InfinityNorm();
expected = 7.0;
Assert.AreEqual(expected, actual);
}
public void TestFrobeniusNorm()
{
var A = SparseMatrix.CreateDiagonal(9, 2.0);
var actual = A.FrobeniusNorm();
var expected = 6.0;
Assert.AreEqual(expected, actual);
var data = MatrixHelper.LoadSparse(2, 2);
actual = data.A.FrobeniusNorm();
expected = 5.477225575;
Assert.AreEqual(expected, actual);
}
public void TestGetColumn(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
for (int j = 0; j < columns; j++)
{
var y = A.Column(j);
for (int i = 0; i < rows; i++)
{
Assert.AreEqual(A.At(i, j), y[i]);
}
}
}
public void TestOfArray(int rows, int columns)
{
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var array = new Complex[rows, columns];
foreach (var a in sparseA.EnumerateIndexed())
{
array[a.Item1, a.Item2] = a.Item3;
}
var sparseB = SparseMatrix.OfArray(array);
Assert.IsTrue(sparseA.Equals(sparseB));
}
public void TestMatrixMultiply(int rows, int columns)
{
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var B = data.B;
var AT = data.AT;
var BT = data.BT;
var actual = AT.Multiply(B);
CollectionAssert.AreEqual(data.ATmB.Values, actual.Values, ComplexNumberComparer.Default);
actual = A.Multiply(BT);
CollectionAssert.AreEqual(data.AmBT.Values, actual.Values, ComplexNumberComparer.Default);
}
public void TestMatrixPermuteColumns(int rows, int columns)
{
var p = Permutation.Create(columns, -1);
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var Ap = A.PermuteColumns(p);
var actualColumn = new Complex[rows];
var expectedColumn = new Complex[rows];
for (int i = 0; i < columns; i++)
{
A.Column(p[i], expectedColumn);
Ap.Column(i, actualColumn);
CollectionAssert.AreEqual(expectedColumn, actualColumn);
}
}
public void TestMatrixPermuteRows(int rows, int columns)
{
var p = Permutation.Create(rows, -1);
var data = MatrixHelper.LoadSparse(rows, columns);
var A = data.A;
var Ap = A.Clone();
var actualRow = new Complex[columns];
var expectedRow = new Complex[columns];
Ap.PermuteRows(p);
for (int i = 0; i < rows; i++)
{
A.Row(p[i], expectedRow);
Ap.Row(i, actualRow);
CollectionAssert.AreEqual(expectedRow, actualRow);
}
}
public void TestOfJaggedArray(int rows, int columns)
{
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var array = new Complex[rows][];
for (int i = 0; i < rows; i++)
{
var values = new Complex[columns];
for (int j = 0; j < columns; j++)
{
values[j] = sparseA.At(i, j);
}
array[i] = values;
}
var sparseB = SparseMatrix.OfJaggedArray(array);
Assert.IsTrue(sparseA.Equals(sparseB));
}
public void TestOfIndexed_Coo(int rows, int columns)
{
var sparseData = MatrixHelper.LoadSparse(rows, columns);
var sparseA = sparseData.A;
var coo = new CoordinateStorage <Complex>(rows, columns, sparseA.NonZerosCount);
foreach (var a in sparseA.EnumerateIndexed())
{
coo.At(a.Item1, a.Item2, a.Item3);
}
var sparseB = SparseMatrix.OfIndexed(coo);
Assert.IsTrue(sparseA.Equals(sparseB));
var sparseC = SparseMatrix.OfIndexed(coo, true);
Assert.IsTrue(sparseA.Equals(sparseC));
Assert.IsNull(coo.Values);
Assert.IsNull(coo.RowIndices);
Assert.IsNull(coo.ColumnIndices);
}