public void CanMap(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Matrix <T> a = matrix.Map(x => x, Zeros.AllowSkip);
Assert.That(a, Is.EqualTo(matrix));
Assert.That(a.Storage.IsDense, Is.EqualTo(matrix.Storage.IsDense));
Assert.That(a.Storage.IsFullyMutable, Is.EqualTo(matrix.Storage.IsFullyMutable));
T one = Matrix <T> .Build.One;
Assert.That(matrix.Map(x => x, Zeros.Include), Is.EqualTo(matrix));
Assert.That(matrix.Map(x => one, Zeros.Include), Is.EqualTo(Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount, one)));
// Map into existing - we skip zeros, but existing values must still be reset to zero
var dense = Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount, one);
matrix.Map(x => x, dense, Zeros.AllowSkip);
Assert.That(dense, Is.EqualTo(matrix));
// Map into self, without using the proper MapInplace method:
var copy = matrix.Clone();
copy.Map(x => x, copy, Zeros.AllowSkip);
Assert.That(copy, Is.EqualTo(matrix));
if (matrix.Storage.IsFullyMutable)
{
copy.Map(x => one, copy, Zeros.AllowSkip);
Assert.That(copy, Is.EqualTo(Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount, one)));
}
}
public void CanRemoveColumn(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
for (var position = 0; position < matrix.ColumnCount; position++)
{
var result = matrix.RemoveColumn(position);
Assert.That(result.ColumnCount, Is.EqualTo(matrix.ColumnCount - 1));
for (int jr = 0, jm = 0; jr < result.ColumnCount; jr++, jm++)
{
if (jr == position)
{
jm++;
}
for (var i = 0; i < result.RowCount; i++)
{
Assert.That(result[i, jr], Is.EqualTo(matrix[i, jm]));
}
}
}
// Invalid
Assert.That(() => matrix.RemoveColumn(-1), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix.RemoveColumn(matrix.ColumnCount + 1), Throws.InstanceOf <ArgumentOutOfRangeException>());
}
static int Main()
{
TestMatrix <Test> tMat = new TestMatrix <Test> ();
tMat.setStuff(new Test(), 0, 0);
return(0);
}
public void IsNotEqualToPermutation(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
if (!matrix.Storage.IsFullyMutable)
{
return;
}
Matrix <T> permutation;
if (matrix.RowCount >= 2 && matrix.Row(1).Any(x => !Zero.Equals(x)))
{
matrix.ClearRow(0);
permutation = matrix.Clone();
permutation.ClearRow(1);
permutation.SetRow(0, matrix.Row(1));
}
else if (matrix.ColumnCount >= 2 && matrix.Column(1).Any(x => !Zero.Equals(x)))
{
matrix.ClearColumn(0);
permutation = matrix.Clone();
permutation.ClearColumn(1);
permutation.SetColumn(0, matrix.Column(1));
}
else
{
return;
}
Assert.That(matrix, Is.Not.EqualTo(permutation));
Assert.IsFalse(matrix.Equals(permutation));
}
public void CanDiagonalStackIntoResult(TestMatrix leftTestMatrix, TestMatrix rightTestMatrix)
{
Matrix <T> left = Get(leftTestMatrix);
Matrix <T> right = Get(rightTestMatrix);
var result = Matrix <T> .Build.Dense(left.RowCount + right.RowCount, left.ColumnCount + right.ColumnCount);
left.DiagonalStack(right, result);
Assert.That(result.RowCount, Is.EqualTo(left.RowCount + right.RowCount));
Assert.That(result.ColumnCount, Is.EqualTo(left.ColumnCount + right.ColumnCount));
for (var i = 0; i < left.RowCount; i++)
{
for (var j = 0; j < left.ColumnCount; j++)
{
Assert.That(result[i, j], Is.EqualTo(left[i, j]));
}
}
for (var i = 0; i < right.RowCount; i++)
{
for (var j = 0; j < right.ColumnCount; j++)
{
Assert.That(result[left.RowCount + i, left.ColumnCount + j], Is.EqualTo(right[i, j]));
}
}
// Invalid
Assert.That(() => left.DiagonalStack(right, default(Matrix <T>)), Throws.InstanceOf <ArgumentNullException>());
Assert.That(() => left.DiagonalStack(right, Matrix <T> .Build.Dense(left.RowCount + right.RowCount + 1, left.ColumnCount + right.ColumnCount)), Throws.ArgumentException);
Assert.That(() => left.DiagonalStack(right, Matrix <T> .Build.Dense(left.RowCount + right.RowCount - 1, left.ColumnCount + right.ColumnCount)), Throws.ArgumentException);
Assert.That(() => left.DiagonalStack(right, Matrix <T> .Build.Dense(left.RowCount + right.RowCount, left.ColumnCount + right.ColumnCount + 1)), Throws.ArgumentException);
Assert.That(() => left.DiagonalStack(right, Matrix <T> .Build.Dense(left.RowCount + right.RowCount, left.ColumnCount + right.ColumnCount - 1)), Throws.ArgumentException);
}
public void CanDiagonalStack(TestMatrix leftTestMatrix, TestMatrix rightTestMatrix)
{
Matrix <T> left = Get(leftTestMatrix);
Matrix <T> right = Get(rightTestMatrix);
var result = left.DiagonalStack(right);
Assert.That(result.RowCount, Is.EqualTo(left.RowCount + right.RowCount));
Assert.That(result.ColumnCount, Is.EqualTo(left.ColumnCount + right.ColumnCount));
for (var i = 0; i < left.RowCount; i++)
{
for (var j = 0; j < left.ColumnCount; j++)
{
Assert.That(result[i, j], Is.EqualTo(left[i, j]), "{0}+{1}->{2}", left.GetType(), right.GetType(), result.GetType());
}
}
for (var i = 0; i < right.RowCount; i++)
{
for (var j = 0; j < right.ColumnCount; j++)
{
Assert.That(result[left.RowCount + i, left.ColumnCount + j], Is.EqualTo(right[i, j]), "{0}+{1}->{2}", left.GetType(), right.GetType(), result.GetType());
}
}
// Invalid
Assert.That(() => left.DiagonalStack(default(Matrix <T>)), Throws.InstanceOf <ArgumentNullException>(), "{0}+{1}->{2}", left.GetType(), right.GetType(), result.GetType());
}
public void CanGetColumn(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
// First Column
var firstcol = matrix.Column(0);
Assert.That(firstcol.Count, Is.EqualTo(matrix.RowCount));
for (var i = 0; i < matrix.RowCount; i++)
{
Assert.AreEqual(matrix[i, 0], firstcol[i]);
}
// Last Column
var lastcol = matrix.Column(matrix.ColumnCount - 1);
Assert.That(lastcol.Count, Is.EqualTo(matrix.RowCount));
for (var i = 0; i < matrix.RowCount; i++)
{
Assert.AreEqual(matrix[i, matrix.ColumnCount - 1], lastcol[i]);
}
// Invalid Columns
Assert.That(() => matrix.Column(-1), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix.Column(matrix.ColumnCount), Throws.InstanceOf <ArgumentOutOfRangeException>());
}
public void CanPermuteColumns(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Assume.That(matrix.Storage.IsFullyMutable);
var m = matrix.Clone();
var rnd = new System.Random(0);
var permutation = new Permutation(Enumerable.Range(0, matrix.ColumnCount).OrderBy(i => rnd.Next()).ToArray());
m.PermuteColumns(permutation);
Assert.That(m, Is.Not.SameAs(matrix));
Assert.That(m.RowCount, Is.EqualTo(matrix.RowCount));
Assert.That(m.ColumnCount, Is.EqualTo(matrix.ColumnCount));
var inverse = permutation.Inverse();
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.That(m[i, j], Is.EqualTo(matrix[i, inverse[j]]));
}
}
}
public void CanStackIntoResult(TestMatrix topTestMatrix, TestMatrix bottomTestMatrix)
{
Matrix <T> top = Get(topTestMatrix);
Matrix <T> bottom = Get(bottomTestMatrix);
Assume.That(top.ColumnCount, Is.EqualTo(bottom.ColumnCount));
// THEN
var result = Matrix <T> .Build.Dense(top.RowCount + bottom.RowCount, top.ColumnCount);
top.Stack(bottom, result);
Assert.That(result.RowCount, Is.EqualTo(top.RowCount + bottom.RowCount));
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
Assert.That(result[i, j], Is.EqualTo(i < top.RowCount ? top[i, j] : bottom[i - top.RowCount, j]));
}
}
// Invalid
Assert.That(() => top.Stack(bottom, default(Matrix <T>)), Throws.InstanceOf <ArgumentNullException>());
Assert.That(() => top.Stack(bottom, Matrix <T> .Build.Dense(top.RowCount + bottom.RowCount + 1, top.ColumnCount)), Throws.ArgumentException);
Assert.That(() => top.Stack(bottom, Matrix <T> .Build.Dense(top.RowCount + bottom.RowCount - 1, top.ColumnCount)), Throws.ArgumentException);
Assert.That(() => top.Stack(bottom, Matrix <T> .Build.Dense(top.RowCount + bottom.RowCount, top.ColumnCount + 1)), Throws.ArgumentException);
Assert.That(() => top.Stack(bottom, Matrix <T> .Build.Dense(top.RowCount + bottom.RowCount, top.ColumnCount - 1)), Throws.ArgumentException);
}
public void CanMapIndexedInplace(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var a = matrix.Clone();
a.MapIndexedInplace((i, j, x) =>
{
if (i != 0 || j != 1)
{
Assert.That(matrix.At(i, j), Is.EqualTo(x));
}
return(x);
}, Zeros.AllowSkip);
Assert.That(a, Is.EqualTo(matrix));
if (matrix.Storage.IsFullyMutable)
{
a.MapIndexedInplace((i, j, x) => x, Zeros.Include);
Assert.That(a, Is.EqualTo(matrix));
T one = Matrix <T> .Build.One;
a.MapIndexedInplace((i, j, x) => i == j ? one : x, Zeros.AllowSkip);
Assert.That(a.Diagonal().All(x => one.Equals(x) || Zero.Equals(x)), Is.True);
Assert.That(a.EnumerateIndexed().All(z => (z.Item1 == z.Item2) || (matrix.At(z.Item1, z.Item2).Equals(z.Item3))));
a.MapIndexedInplace((i, j, x) => one, Zeros.Include);
Assert.That(a, Is.EqualTo(Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount, one)));
}
}
public void Constructor__2DArray_ShouldCreateMatrixMatchingTheInputArray(float[,] array)
{
// arrange
// act
var result = new TestMatrix(array);
// assert
using var _ = new AssertionScope();
result.Rows.Should().Be(array.GetLength(0));
result.Columns.Should().Be(array.GetLength(1));
foreach (var row in Enumerable.Range(0, result.Rows))
{
foreach (var col in Enumerable.Range(0, result.Columns))
{
result[row, col]
.Should()
.Be(
array[row, col],
"matrix[{0}, {1}] should equal array[{0}, {1}]",
row,
col
);
}
}
}
public void CanSetColumnArray(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
// First Column
var m = matrix.Clone();
m.SetColumn(0, Vector <T> .Build.Dense(matrix.RowCount).ToArray());
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.That(m[i, j], Is.EqualTo(j == 0 ? Zero : matrix[i, j]));
}
}
// Last Column
m = matrix.Clone();
m.SetColumn(matrix.ColumnCount - 1, new T[matrix.RowCount]);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.That(m[i, j], Is.EqualTo(j == matrix.ColumnCount - 1 ? Zero : matrix[i, j]));
}
}
// Invalid Rows
Assert.That(() => matrix.SetColumn(0, default(T[])), Throws.InstanceOf <ArgumentNullException>());
Assert.That(() => matrix.SetColumn(-1, new T[matrix.RowCount]), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix.SetColumn(matrix.ColumnCount, new T[matrix.RowCount]), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix.SetColumn(0, new T[matrix.RowCount - 1]), Throws.ArgumentException);
Assert.That(() => matrix.SetColumn(0, new T[matrix.RowCount + 1]), Throws.ArgumentException);
}
public void CanGetRow(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
// First Row
var firstrow = matrix.Row(0);
Assert.That(firstrow.Count, Is.EqualTo(matrix.ColumnCount));
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[0, j], firstrow[j]);
}
// Last Row
var lastrow = matrix.Row(matrix.RowCount - 1);
Assert.That(lastrow.Count, Is.EqualTo(matrix.ColumnCount));
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[matrix.RowCount - 1, j], lastrow[j]);
}
// Invalid Rows
Assert.That(() => matrix.Row(-1), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix.Row(matrix.RowCount), Throws.InstanceOf <ArgumentOutOfRangeException>());
}
public void CanGetStrictlyLowerTriangleIntoResult(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var dense = Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount);
matrix.StrictlyLowerTriangle(dense);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.That(dense[i, j], Is.EqualTo(i > j ? matrix[i, j] : Zero));
}
}
var sparse = Matrix <T> .Build.Sparse(matrix.RowCount, matrix.ColumnCount);
matrix.StrictlyLowerTriangle(sparse);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.That(sparse[i, j], Is.EqualTo(i > j ? matrix[i, j] : Zero));
}
}
Assert.That(() => matrix.StrictlyLowerTriangle(null), Throws.Exception);
Assert.That(() => matrix.StrictlyLowerTriangle(Matrix <T> .Build.Sparse(matrix.RowCount + 1, matrix.ColumnCount)), Throws.ArgumentException);
Assert.That(() => matrix.StrictlyLowerTriangle(Matrix <T> .Build.Dense(matrix.RowCount, matrix.ColumnCount + 1)), Throws.ArgumentException);
}
public static void Main()
{
TestAttribute.Test();
TestPoints.Test();
TestGenericList.Test();
TestMatrix.Test();
}
public void CanClear(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var cleared = matrix.Clone();
cleared.Clear();
Assert.That(cleared, Is.EqualTo(Matrix <T> .Build.SameAs(matrix)));
}
public void IsNotEqualToNonMatrixType(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Assert.That(matrix, Is.Not.EqualTo(2));
Assert.IsFalse(matrix.Equals(2));
Assert.IsFalse(matrix.Equals((object)2));
Assert.IsFalse(((object)matrix).Equals(2));
Assert.IsFalse(matrix == (object)2);
}
public void CanCloneUsingICloneable(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var clone = (Matrix <T>)((ICloneable)matrix).Clone();
Assert.That(clone, Is.Not.SameAs(matrix));
Assert.That(clone, Is.EqualTo(matrix));
Assert.That(clone.RowCount, Is.EqualTo(matrix.RowCount));
Assert.That(clone.ColumnCount, Is.EqualTo(matrix.ColumnCount));
}
public static Matrix <double> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return(M.DenseOfArray(new[, ] {
{ 1d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d, 2d }
}));
case TestMatrix.DenseSquare3x3b: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, 2.2d }, { -4.4d, 5.5d, 6.6d }
}));
case TestMatrix.DenseSquare3x3c: return(M.DenseOfArray(new[, ] {
{ 1d, 2d, 3d }, { 2d, 2d, 0d }, { 3d, 0d, 3d }
}));
case TestMatrix.DenseSquare4x4: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d, -4.4d }, { 0d, 1.1d, 2.2d, 3.3d }, { 1d, 2.1d, 6.2d, 4.3d }, { -4.4d, 5.5d, 6.6d, -7.7d }
}));
case TestMatrix.DenseSquare4x4b: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }
}));
case TestMatrix.DenseTall3x2: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d }, { 0d, 1.1d }, { -4.4d, 5.5d }
}));
case TestMatrix.DenseWide2x3: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, 2.2d }
}));
case TestMatrix.SparseSquare3x3: return(M.SparseOfArray(new[, ] {
{ 7d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d, 2d }
}));
case TestMatrix.SparseSquare3x3b: return(M.SparseOfArray(new[, ] {
{ 7d, 1d, 2d }, { 1d, 0d, 0d }, { -2d, 0d, 0d }
}));
case TestMatrix.SparseWide2x3: return(M.SparseOfArray(new[, ] {
{ -1.1d, 0d, 0d }, { 0d, 1.1d, 2.2d }
}));
case TestMatrix.DiagonalSquare3x3: return(M.Diagonal(3, 3, new[] { 1d, -2d, 1.5d }));
case TestMatrix.DiagonalSquare3x3b: return(M.Diagonal(3, 3, new[] { 1d, 0d, -1.5d }));
case TestMatrix.UserSquare3x3: return(new UserDefinedMatrix(new[, ] {
{ 0d, 1d, 2d }, { -1d, 7.7d, 0d }, { -2d, 0d, 0d }
}));
default: throw new NotSupportedException();
}
}
public static Matrix <Complex> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return(M.DenseOfArray(new[, ] {
{ 1d, new Complex(1.1d, -4d), 2d }, { 1d, 1d, 2d }, { 1d, new Complex(1d, 2d), 2d }
}));
case TestMatrix.DenseSquare3x3b: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, new Complex(2.2d, -1.2d) }, { -4.4d, 5.5d, 6.6d }
}));
case TestMatrix.DenseSquare3x3c: return(M.DenseOfArray(new[, ] {
{ 1d, 2d, 3d }, { 2d, new Complex(2d, 2d), 0d }, { 3d, Complex.Zero, 3d }
}));
case TestMatrix.DenseSquare4x4: return(M.DenseOfArray(new[, ] {
{ new Complex(-1.1d, -2d), -2.2d, -3.3d, -4.4d }, { 0d, 1.1d, 2.2d, 3.3d }, { 1d, 2.1d, 6.2d, 4.3d }, { -4.4d, 5.5d, 6.6d, -7.7d }
}));
case TestMatrix.DenseSquare4x4b: return(M.DenseOfArray(new[, ] {
{ -1.1d, new Complex(-2.2d, 3.4d), -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }
}));
case TestMatrix.DenseTall3x2: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d }, { Complex.Zero, 1.1d }, { -4.4d, 5.5d }
}));
case TestMatrix.DenseWide2x3: return(M.DenseOfArray(new[, ] {
{ -1.1d, -2.2d, -3.3d }, { 0d, new Complex(1.1d, 0.1d), 2.2d }
}));
case TestMatrix.SparseSquare3x3: return(M.SparseOfArray(new[, ] {
{ 7d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d + Complex.ImaginaryOne, 2d }
}));
case TestMatrix.SparseSquare3x3b: return(M.SparseOfArray(new[, ] {
{ 7d, 1d, 2d }, { new Complex(1d, 2d), 0d, Complex.Zero }, { -2d, 0d, 0d }
}));
case TestMatrix.SparseWide2x3: return(M.SparseOfArray(new[, ] {
{ -1.1d, 0d, 0d }, { 0d, new Complex(1.1d, 2d), 2.2d }
}));
case TestMatrix.DiagonalSquare3x3: return(M.Diagonal(3, 3, new[] { new Complex(1d, 1d), -2d, 1.5d }));
case TestMatrix.DiagonalSquare3x3b: return(M.Diagonal(3, 3, new[] { new Complex(1d, 2d), 0d, -1.5d }));
case TestMatrix.UserSquare3x3: return(new UserDefinedMatrix(new[, ] {
{ 0d, 1d, 2d }, { -1d, 7.7d, 0d }, { -2d, Complex.Zero, 0d }
}));
default: throw new NotSupportedException();
}
}
public static Matrix <Complex32> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return(M.DenseOfArray(new[, ] {
{ 1f, new Complex32(1.1f, -4f), 2f }, { 1f, 1f, 2f }, { 1f, new Complex32(1f, 2f), 2f }
}));
case TestMatrix.DenseSquare3x3b: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, new Complex32(2.2f, -1.2f) }, { -4.4f, 5.5f, 6.6f }
}));
case TestMatrix.DenseSquare3x3c: return(M.DenseOfArray(new[, ] {
{ 1f, 2f, 3f }, { 2f, new Complex32(2f, 2f), 0f }, { 3f, Complex32.Zero, 3f }
}));
case TestMatrix.DenseSquare4x4: return(M.DenseOfArray(new[, ] {
{ new Complex32(-1.1f, -2f), -2.2f, -3.3f, -4.4f }, { 0f, 1.1f, 2.2f, 3.3f }, { 1f, 2.1f, 6.2f, 4.3f }, { -4.4f, 5.5f, 6.6f, -7.7f }
}));
case TestMatrix.DenseSquare4x4b: return(M.DenseOfArray(new[, ] {
{ -1.1f, new Complex32(-2.2f, 3.4f), -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }
}));
case TestMatrix.DenseTall3x2: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f }, { Complex32.Zero, 1.1f }, { -4.4f, 5.5f }
}));
case TestMatrix.DenseWide2x3: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f }, { 0f, new Complex32(1.1f, 0.1f), 2.2f }
}));
case TestMatrix.SparseSquare3x3: return(M.SparseOfArray(new[, ] {
{ 7f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f + Complex32.ImaginaryOne, 2f }
}));
case TestMatrix.SparseSquare3x3b: return(M.SparseOfArray(new[, ] {
{ 7f, 1f, 2f }, { new Complex32(1f, 2f), 0f, Complex32.Zero }, { -2f, 0f, 0f }
}));
case TestMatrix.SparseWide2x3: return(M.SparseOfArray(new[, ] {
{ -1.1f, 0f, 0f }, { 0f, new Complex32(1.1f, 2f), 2.2f }
}));
case TestMatrix.DiagonalSquare3x3: return(M.Diagonal(3, 3, new[] { new Complex32(1f, 1f), -2f, 1.5f }));
case TestMatrix.DiagonalSquare3x3b: return(M.Diagonal(3, 3, new[] { new Complex32(1f, 2f), 0f, -1.5f }));
case TestMatrix.UserSquare3x3: return(new UserDefinedMatrix(new[, ] {
{ 0f, 1f, 2f }, { -1f, 7.7f, 0f }, { -2f, Complex32.Zero, 0f }
}));
default: throw new NotSupportedException();
}
}
public static Matrix <float> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return(M.DenseOfArray(new[, ] {
{ 1f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f, 2f }
}));
case TestMatrix.DenseSquare3x3b: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, 2.2f }, { -4.4f, 5.5f, 6.6f }
}));
case TestMatrix.DenseSquare3x3c: return(M.DenseOfArray(new[, ] {
{ 1f, 2f, 3f }, { 2f, 2f, 0f }, { 3f, 0f, 3f }
}));
case TestMatrix.DenseSquare4x4: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f, -4.4f }, { 0f, 1.1f, 2.2f, 3.3f }, { 1f, 2.1f, 6.2f, 4.3f }, { -4.4f, 5.5f, 6.6f, -7.7f }
}));
case TestMatrix.DenseSquare4x4b: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }
}));
case TestMatrix.DenseTall3x2: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f }, { 0f, 1.1f }, { -4.4f, 5.5f }
}));
case TestMatrix.DenseWide2x3: return(M.DenseOfArray(new[, ] {
{ -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, 2.2f }
}));
case TestMatrix.SparseSquare3x3: return(M.SparseOfArray(new[, ] {
{ 7f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f, 2f }
}));
case TestMatrix.SparseSquare3x3b: return(M.SparseOfArray(new[, ] {
{ 7f, 1f, 2f }, { 1f, 0f, 0f }, { -2f, 0f, 0f }
}));
case TestMatrix.SparseWide2x3: return(M.SparseOfArray(new[, ] {
{ -1.1f, 0f, 0f }, { 0f, 1.1f, 2.2f }
}));
case TestMatrix.DiagonalSquare3x3: return(M.Diagonal(3, 3, new[] { 1f, -2f, 1.5f }));
case TestMatrix.DiagonalSquare3x3b: return(M.Diagonal(3, 3, new[] { 1f, 0f, -1.5f }));
case TestMatrix.UserSquare3x3: return(new UserDefinedMatrix(new[, ] {
{ 0f, 1f, 2f }, { -1f, 7.7f, 0f }, { -2f, 0f, 0f }
}));
default: throw new NotSupportedException();
}
}
public void Equals__Object_ShouldReturnFalse_WhenOtherObjectIsNotMatrix(object obj)
{
// arrange
var sut = new TestMatrix(2, 2);
// act
var result = sut.Equals(obj);
// assert
result.Should().BeFalse();
}
public void CanToRowWiseArray(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var array = matrix.ToRowWiseArray();
Assert.That(array.Length, Is.EqualTo(matrix.RowCount * matrix.ColumnCount));
for (int i = 0; i < array.Length; i++)
{
Assert.That(array[i], Is.EqualTo(matrix[i / matrix.ColumnCount, i % matrix.ColumnCount]));
}
}
public void IsEqualToItself(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Assert.That(matrix, Is.EqualTo(matrix));
Assert.IsTrue(matrix.Equals(matrix));
Assert.IsTrue(matrix.Equals((object)matrix));
Assert.IsTrue(((object)matrix).Equals(matrix));
Assert.IsTrue(matrix == (object)matrix);
Assert.IsTrue((object)matrix == matrix);
}
public void CanGetDiagonal(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var diag = matrix.Diagonal();
Assert.That(diag.Count, Is.EqualTo(Math.Min(matrix.RowCount, matrix.ColumnCount)));
for (var i = 0; i < Math.Min(matrix.RowCount, matrix.ColumnCount); i++)
{
Assert.That(diag[i], Is.EqualTo(matrix[i, i]));
}
}
public void CanGetFieldsByIndex(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Assert.That(() => matrix[0, 0], Throws.Nothing);
Assert.That(() => matrix[0, matrix.ColumnCount - 1], Throws.Nothing);
Assert.That(() => matrix[matrix.RowCount - 1, 0], Throws.Nothing);
Assert.That(() => matrix[-1, 1], Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix[1, -1], Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => matrix[0, matrix.ColumnCount], Throws.InstanceOf <ArgumentOutOfRangeException>());
}
public void CanClearColumns(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
Assume.That(matrix.ColumnCount, Is.GreaterThanOrEqualTo(2));
var cleared = matrix.Clone();
cleared.ClearColumns(1);
Assert.That(cleared.At(0, 0), Is.EqualTo(matrix.At(0, 0)));
Assert.That(cleared.At(0, 1), Is.EqualTo(Zero));
}
public void CanCreateSameKind(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
var empty = Matrix <T> .Build.SameAs(matrix, 5, 6);
Assert.That(empty, Is.EqualTo(Matrix <T> .Build.Dense(5, 6)));
Assert.That(empty.Storage.IsDense, Is.EqualTo(matrix.Storage.IsDense));
Assert.That(() => Matrix <T> .Build.SameAs(matrix, 0, 2), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => Matrix <T> .Build.SameAs(matrix, 2, 0), Throws.InstanceOf <ArgumentOutOfRangeException>());
Assert.That(() => Matrix <T> .Build.SameAs(matrix, -1, -1), Throws.InstanceOf <ArgumentOutOfRangeException>());
}
public void IsEqualToItself(TestMatrix testMatrix)
{
Matrix <T> matrix = Get(testMatrix);
object matrixObject = matrix;
Assert.That(matrix, Is.EqualTo(matrix));
Assert.IsTrue(matrix.Equals(matrix));
Assert.IsTrue(matrix.Equals(matrixObject));
Assert.IsTrue(matrixObject.Equals(matrix));
Assert.IsTrue(matrix == matrixObject);
Assert.IsTrue(matrixObject == matrix);
}
public static Matrix<Complex> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return M.DenseOfArray(new[,] { { 1d, new Complex(1.1d, -4d), 2d }, { 1d, 1d, 2d }, { 1d, new Complex(1d, 2d), 2d } });
case TestMatrix.DenseSquare3x3b: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, new Complex(2.2d, -1.2d) }, { -4.4d, 5.5d, 6.6d } });
case TestMatrix.DenseSquare3x3c: return M.DenseOfArray(new[,] { { 1d, 2d, 3d }, { 2d, new Complex(2d, 2d), 0d }, { 3d, Complex.Zero, 3d } });
case TestMatrix.DenseSquare4x4: return M.DenseOfArray(new[,] { { new Complex(-1.1d, -2d), -2.2d, -3.3d, -4.4d }, { 0d, 1.1d, 2.2d, 3.3d }, { 1d, 2.1d, 6.2d, 4.3d }, { -4.4d, 5.5d, 6.6d, -7.7d } });
case TestMatrix.DenseSquare4x4b: return M.DenseOfArray(new[,] { { -1.1d, new Complex(-2.2d, 3.4d), -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d } });
case TestMatrix.DenseTall3x2: return M.DenseOfArray(new[,] { { -1.1d, -2.2d }, { Complex.Zero, 1.1d }, { -4.4d, 5.5d } });
case TestMatrix.DenseWide2x3: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d }, { 0d, new Complex(1.1d, 0.1d), 2.2d } });
case TestMatrix.SparseSquare3x3: return M.SparseOfArray(new[,] { { 7d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d + Complex.ImaginaryOne, 2d } });
case TestMatrix.SparseSquare3x3b: return M.SparseOfArray(new[,] { { 7d, 1d, 2d }, { new Complex(1d, 2d), 0d, Complex.Zero }, { -2d, 0d, 0d } });
case TestMatrix.SparseWide2x3: return M.SparseOfArray(new[,] { { -1.1d, 0d, 0d }, { 0d, new Complex(1.1d, 2d), 2.2d } });
case TestMatrix.DiagonalSquare3x3: return M.Diagonal(3, 3, new[] { new Complex(1d, 1d), -2d, 1.5d });
case TestMatrix.DiagonalSquare3x3b: return M.Diagonal(3, 3, new[] { new Complex(1d, 2d), 0d, -1.5d });
case TestMatrix.UserSquare3x3: return new UserDefinedMatrix(new[,] { { 0d, 1d, 2d }, { -1d, 7.7d, 0d }, { -2d, Complex.Zero, 0d } });
default: throw new NotSupportedException();
}
}
public static Matrix<Complex32> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return M.DenseOfArray(new[,] { { 1f, new Complex32(1.1f, -4f), 2f }, { 1f, 1f, 2f }, { 1f, new Complex32(1f, 2f), 2f } });
case TestMatrix.DenseSquare3x3b: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, new Complex32(2.2f, -1.2f) }, { -4.4f, 5.5f, 6.6f } });
case TestMatrix.DenseSquare3x3c: return M.DenseOfArray(new[,] { { 1f, 2f, 3f }, { 2f, new Complex32(2f, 2f), 0f }, { 3f, Complex32.Zero, 3f } });
case TestMatrix.DenseSquare4x4: return M.DenseOfArray(new[,] { { new Complex32(-1.1f, -2f), -2.2f, -3.3f, -4.4f }, { 0f, 1.1f, 2.2f, 3.3f }, { 1f, 2.1f, 6.2f, 4.3f }, { -4.4f, 5.5f, 6.6f, -7.7f } });
case TestMatrix.DenseSquare4x4b: return M.DenseOfArray(new[,] { { -1.1f, new Complex32(-2.2f, 3.4f), -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f } });
case TestMatrix.DenseTall3x2: return M.DenseOfArray(new[,] { { -1.1f, -2.2f }, { Complex32.Zero, 1.1f }, { -4.4f, 5.5f } });
case TestMatrix.DenseWide2x3: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f }, { 0f, new Complex32(1.1f, 0.1f), 2.2f } });
case TestMatrix.SparseSquare3x3: return M.SparseOfArray(new[,] { { 7f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f + Complex32.ImaginaryOne, 2f } });
case TestMatrix.SparseSquare3x3b: return M.SparseOfArray(new[,] { { 7f, 1f, 2f }, { new Complex32(1f, 2f), 0f, Complex32.Zero }, { -2f, 0f, 0f } });
case TestMatrix.SparseWide2x3: return M.SparseOfArray(new[,] { { -1.1f, 0f, 0f }, { 0f, new Complex32(1.1f, 2f), 2.2f } });
case TestMatrix.DiagonalSquare3x3: return M.Diagonal(3, 3, new[] { new Complex32(1f, 1f), -2f, 1.5f });
case TestMatrix.DiagonalSquare3x3b: return M.Diagonal(3, 3, new[] { new Complex32(1f, 2f), 0f, -1.5f });
case TestMatrix.UserSquare3x3: return new UserDefinedMatrix(new[,] { { 0f, 1f, 2f }, { -1f, 7.7f, 0f }, { -2f, Complex32.Zero, 0f } });
default: throw new NotSupportedException();
}
}
public static Matrix<double> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return M.DenseOfArray(new[,] { { 1d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d, 2d } });
case TestMatrix.DenseSquare3x3b: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, 2.2d }, { -4.4d, 5.5d, 6.6d } });
case TestMatrix.DenseSquare3x3c: return M.DenseOfArray(new[,] { { 1d, 2d, 3d }, { 2d, 2d, 0d }, { 3d, 0d, 3d } });
case TestMatrix.DenseSquare4x4: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d, -4.4d }, { 0d, 1.1d, 2.2d, 3.3d }, { 1d, 2.1d, 6.2d, 4.3d }, { -4.4d, 5.5d, 6.6d, -7.7d } });
case TestMatrix.DenseSquare4x4b: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d }, { -1.1d, -2.2d, -3.3d, -4.4d } });
case TestMatrix.DenseTall3x2: return M.DenseOfArray(new[,] { { -1.1d, -2.2d }, { 0d, 1.1d }, { -4.4d, 5.5d } });
case TestMatrix.DenseWide2x3: return M.DenseOfArray(new[,] { { -1.1d, -2.2d, -3.3d }, { 0d, 1.1d, 2.2d } });
case TestMatrix.SparseSquare3x3: return M.SparseOfArray(new[,] { { 7d, 1d, 2d }, { 1d, 1d, 2d }, { 1d, 1d, 2d } });
case TestMatrix.SparseSquare3x3b: return M.SparseOfArray(new[,] { { 7d, 1d, 2d }, { 1d, 0d, 0d }, { -2d, 0d, 0d } });
case TestMatrix.SparseWide2x3: return M.SparseOfArray(new[,] { { -1.1d, 0d, 0d }, { 0d, 1.1d, 2.2d } });
case TestMatrix.DiagonalSquare3x3: return M.Diagonal(3, 3, new[] { 1d, -2d, 1.5d });
case TestMatrix.DiagonalSquare3x3b: return M.Diagonal(3, 3, new[] { 1d, 0d, -1.5d });
case TestMatrix.UserSquare3x3: return new UserDefinedMatrix(new[,] { { 0d, 1d, 2d }, { -1d, 7.7d, 0d }, { -2d, 0d, 0d } });
default: throw new NotSupportedException();
}
}
public static Matrix<float> Matrix(TestMatrix matrix)
{
switch (matrix)
{
case TestMatrix.DenseSquare3x3: return M.DenseOfArray(new[,] { { 1f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f, 2f } });
case TestMatrix.DenseSquare3x3b: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, 2.2f }, { -4.4f, 5.5f, 6.6f } });
case TestMatrix.DenseSquare3x3c: return M.DenseOfArray(new[,] { { 1f, 2f, 3f }, { 2f, 2f, 0f }, { 3f, 0f, 3f } });
case TestMatrix.DenseSquare4x4: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f, -4.4f }, { 0f, 1.1f, 2.2f, 3.3f }, { 1f, 2.1f, 6.2f, 4.3f }, { -4.4f, 5.5f, 6.6f, -7.7f } });
case TestMatrix.DenseSquare4x4b: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f }, { -1.1f, -2.2f, -3.3f, -4.4f } });
case TestMatrix.DenseTall3x2: return M.DenseOfArray(new[,] { { -1.1f, -2.2f }, { 0f, 1.1f }, { -4.4f, 5.5f } });
case TestMatrix.DenseWide2x3: return M.DenseOfArray(new[,] { { -1.1f, -2.2f, -3.3f }, { 0f, 1.1f, 2.2f } });
case TestMatrix.SparseSquare3x3: return M.SparseOfArray(new[,] { { 7f, 1f, 2f }, { 1f, 1f, 2f }, { 1f, 1f, 2f } });
case TestMatrix.SparseSquare3x3b: return M.SparseOfArray(new[,] { { 7f, 1f, 2f }, { 1f, 0f, 0f }, { -2f, 0f, 0f } });
case TestMatrix.SparseWide2x3: return M.SparseOfArray(new[,] { { -1.1f, 0f, 0f }, { 0f, 1.1f, 2.2f } });
case TestMatrix.DiagonalSquare3x3: return M.Diagonal(3, 3, new[] { 1f, -2f, 1.5f });
case TestMatrix.DiagonalSquare3x3b: return M.Diagonal(3, 3, new[] { 1f, 0f, -1.5f });
case TestMatrix.UserSquare3x3: return new UserDefinedMatrix(new[,] { { 0f, 1f, 2f }, { -1f, 7.7f, 0f }, { -2f, 0f, 0f } });
default: throw new NotSupportedException();
}
}