Math.NET Numerics
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// <copyright file="MatrixTests.cs" company="Math.NET">
// Math.NET Numerics, part of the Math.NET Project
// http://numerics.mathdotnet.com
// http://github.com/mathnet/mathnet-numerics
// http://mathnetnumerics.codeplex.com
// Copyright (c) 2009-2010 Math.NET
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
// OTHER DEALINGS IN THE SOFTWARE.
// </copyright>
namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
{
using System;
using LinearAlgebra.Generic;
using MbUnit.Framework;
[TestFixture]
public abstract partial class MatrixTests : MatrixLoader
{
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void CanCloneMatrix(string name)
{
var matrix = CreateMatrix(TestData2D[name]);
var clone = matrix.Clone();
Assert.AreNotSame(matrix, clone);
Assert.AreEqual(matrix.RowCount, clone.RowCount);
Assert.AreEqual(matrix.ColumnCount, clone.ColumnCount);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], clone[i, j]);
}
}
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void CanCloneMatrixUsingICloneable(string name)
{
var matrix = TestMatrices[name];
var clone = (Matrix<double>)((ICloneable)matrix).Clone();
Assert.AreNotSame(matrix, clone);
Assert.AreEqual(matrix.RowCount, clone.RowCount);
Assert.AreEqual(matrix.ColumnCount, clone.ColumnCount);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], clone[i, j]);
}
}
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void CanCopyTo(string name)
{
var matrix = TestMatrices[name];
var copy = CreateMatrix(matrix.RowCount, matrix.ColumnCount);
matrix.CopyTo(copy);
Assert.AreNotSame(matrix, copy);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], copy[i, j]);
}
}
}
[Test]
[ExpectedArgumentNullException]
public void CopyToFailsWhenTargetIsNull()
{
var matrix = TestMatrices["Singular3x3"];
Matrix<double> target = null;
matrix.CopyTo(target);
}
[Test]
[ExpectedArgumentException]
public void CopyToFailsWhenTargetHasMoreRows()
{
var matrix = TestMatrices["Singular3x3"];
var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
matrix.CopyTo(target);
}
[Test]
[ExpectedArgumentException]
public void CopyToFailsWhenTargetHasMoreColumns()
{
var matrix = TestMatrices["Singular3x3"];
var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
matrix.CopyTo(target);
}
[Test]
[Ignore]
public void CanConvertVectorToString()
{
}
[Test]
public void CanCreateMatrix()
{
var expected = CreateMatrix(5, 6);
var actual = expected.CreateMatrix(5, 6);
Assert.AreEqual(expected.GetType(), actual.GetType(), "Matrices are same type.");
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void CanEquateMatrices(string name)
{
var matrix1 = CreateMatrix(TestData2D[name]);
var matrix2 = CreateMatrix(TestData2D[name]);
var matrix3 = CreateMatrix(TestData2D[name].GetLength(0), TestData2D[name].GetLength(1));
Assert.IsTrue(matrix1.Equals(matrix1));
Assert.IsTrue(matrix1.Equals(matrix2));
Assert.IsFalse(matrix1.Equals(matrix3));
Assert.IsFalse(matrix1.Equals(null));
}
[Test]
[Row(0, 2)]
[Row(2, 0)]
[Row(0, 0)]
[Row(-1, 1)]
[Row(1, -1)]
[ExpectedArgumentOutOfRangeException]
public void ThrowsArgumentExceptionIfSizeIsNotPositive(int rows, int columns)
{
var A = CreateMatrix(rows, columns);
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
public void TestingForEqualityWithNonMatrixReturnsFalse(string name)
{
var matrix = CreateMatrix(TestData2D[name]);
Assert.IsFalse(matrix.Equals(2));
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
public void CanTestForEqualityUsingObjectEquals(string name)
{
var matrix1 = CreateMatrix(TestData2D[name]);
var matrix2 = CreateMatrix(TestData2D[name]);
Assert.IsTrue(matrix1.Equals((object)matrix2));
}
[Test]
[Row(-1, 1, "Singular3x3")]
[Row(1, -1, "Singular3x3")]
[Row(4, 2, "Square3x3")]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void RangeCheckFails(int i, int j, string name)
{
var d = TestMatrices[name][i, j];
}
[Test]
[Ignore]
public void MatrixGetHashCode()
{
}
[Test]
public void CanClearMatrix()
{
var matrix = TestMatrices["Singular3x3"].Clone();
matrix.Clear();
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(0, matrix[i, j]);
}
}
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanGetRow(int rowIndex, string name)
{
var matrix = TestMatrices[name];
var row = matrix.Row(rowIndex);
Assert.AreEqual(matrix.ColumnCount, row.Count);
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[rowIndex, j], row[j]);
}
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetRowThrowsArgumentOutOfRangeWithNegativeIndex()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Row(-1);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetRowThrowsArgumentOutOfRangeWithOverflowingRowIndex()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Row(matrix.RowCount);
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanGetRowWithResult(int rowIndex, string name)
{
var matrix = TestMatrices[name];
var row = CreateVector(matrix.ColumnCount);
matrix.Row(rowIndex, row);
Assert.AreEqual(matrix.ColumnCount, row.Count);
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[rowIndex, j], row[j]);
}
}
[Test]
[ExpectedException(typeof(ArgumentNullException))]
public void GetRowWithResultFailsWhenResultIsNull()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Row(0, null);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetRowWithResultThrowsArgumentOutOfRangeWithNegativeIndex()
{
var matrix = TestMatrices["Singular3x3"];
var row = CreateVector(matrix.ColumnCount);
matrix.Row(-1, row);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetRowWithResultThrowsArgumentOutOfRangeWithOverflowingRowIndex()
{
var matrix = TestMatrices["Singular3x3"];
var row = CreateVector(matrix.ColumnCount);
matrix.Row(matrix.RowCount, row);
}
[Test]
[Row(0, 0, 1, "Singular3x3")]
[Row(1, 1, 2, "Singular3x3")]
[Row(2, 0, 3, "Singular3x3")]
[Row(2, 0, 3, "Square3x3")]
public void CanGetRowWithRange(int rowIndex, int start, int length, string name)
{
var matrix = TestMatrices[name];
var row = matrix.Row(rowIndex, start, length);
Assert.AreEqual(length, row.Count);
for (var j = start; j < start + length; j++)
{
Assert.AreEqual(matrix[rowIndex, j], row[j - start]);
}
}
[Test]
[ExpectedException(typeof(ArgumentException))]
public void GetRowWithRangeResultArgumentExeptionWhenLengthIsZero()
{
var matrix = TestMatrices["Singular3x3"];
var result = CreateVector(matrix.ColumnCount);
matrix.Row(0, 0, 0, result);
}
[Test]
[ExpectedException(typeof(ArgumentException))]
public void GetRowWithRangeFailsWithTooSmallResultVector()
{
var matrix = TestMatrices["Singular3x3"];
var result = CreateVector(matrix.ColumnCount - 1);
matrix.Row(0, 0, 0, result);
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanGetColumn(int colIndex, string name)
{
var matrix = TestMatrices[name];
var col = matrix.Column(colIndex);
Assert.AreEqual(matrix.RowCount, col.Count);
for (var j = 0; j < matrix.RowCount; j++)
{
Assert.AreEqual(matrix[j, colIndex], col[j]);
}
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetColumnThrowsArgumentOutOfRangeWithNegativeIndex()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Column(-1);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetColumnThrowsArgumentOutOfRangeWithOverflowingRowIndex()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Column(matrix.ColumnCount);
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanGetColumnWithResult(int colIndex, string name)
{
var matrix = TestMatrices[name];
var col = CreateVector(matrix.RowCount);
matrix.Column(colIndex, col);
Assert.AreEqual(matrix.RowCount, col.Count);
for (var j = 0; j < matrix.RowCount; j++)
{
Assert.AreEqual(matrix[j, colIndex], col[j]);
}
}
[Test]
[ExpectedException(typeof(ArgumentNullException))]
public void GetColumnFailsWhenResultIsNull()
{
var matrix = TestMatrices["Singular3x3"];
matrix.Column(0, null);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetColumnWithResultThrowsArgumentOutOfRangeWithNegativeIndex()
{
var matrix = TestMatrices["Singular3x3"];
var column = CreateVector(matrix.ColumnCount);
matrix.Column(-1, column);
}
[Test]
[ExpectedException(typeof(ArgumentOutOfRangeException))]
public void GetColumnWithResultThrowsArgumentOutOfRangeWithOverflowingRowIndex()
{
var matrix = TestMatrices["Singular3x3"];
var column = CreateVector(matrix.RowCount);
matrix.Row(matrix.ColumnCount, column);
}
[Test]
[Row(0, 0, 1, "Singular3x3")]
[Row(1, 1, 2, "Singular3x3")]
[Row(2, 0, 3, "Singular3x3")]
[Row(2, 0, 3, "Square3x3")]
public void CanGetColumnWithRange(int colIndex, int start, int length, string name)
{
var matrix = TestMatrices[name];
var col = matrix.Column(colIndex, start, length);
Assert.AreEqual(length, col.Count);
for (var j = start; j < start + length; j++)
{
Assert.AreEqual(matrix[j, colIndex], col[j - start]);
}
}
[Test]
[ExpectedException(typeof(ArgumentException))]
public void GetColumnWithRangeResultArgumentExeptionWhenLengthIsZero()
{
var matrix = TestMatrices["Singular3x3"];
var col = CreateVector(matrix.RowCount);
matrix.Column(0, 0, 0, col);
}
[Test]
[ExpectedException(typeof(ArgumentException))]
public void GetColumnWithRangeFailsWithTooSmallResultVector()
{
var matrix = TestMatrices["Singular3x3"];
var result = CreateVector(matrix.RowCount - 1);
matrix.Column(0, 0, matrix.RowCount, result);
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanSetRow(int rowIndex, string name)
{
var matrix = TestMatrices[name].Clone();
matrix.SetRow(rowIndex, CreateVector(matrix.ColumnCount));
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
if (i == rowIndex)
{
Assert.AreEqual(0.0, matrix[i, j]);
}
else
{
Assert.AreEqual(TestMatrices[name][i, j], matrix[i, j]);
}
}
}
}
[Test]
[Row(0, "Singular3x3")]
[Row(1, "Singular3x3")]
[Row(2, "Singular3x3")]
[Row(2, "Square3x3")]
public void CanSetColumn(int colIndex, string name)
{
var matrix = TestMatrices[name].Clone();
matrix.SetColumn(colIndex, CreateVector(matrix.ColumnCount));
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
if (j == colIndex)
{
Assert.AreEqual(0.0, matrix[i, j]);
}
else
{
Assert.AreEqual(TestMatrices[name][i, j], matrix[i, j]);
}
}
}
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void UpperTriangleResult(string name)
{
var data = TestMatrices[name];
var result = CreateMatrix(data.RowCount, data.ColumnCount);
var lower = data.UpperTriangle();
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
if (i <= j)
{
Assert.AreEqual(data[i, j],
lower[i, j]);
}
else
{
Assert.AreEqual(0, lower[i, j]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void UpperTriangleWithResultNullShouldThrowException()
{
var data = TestMatrices["Square3x3"];
Matrix<double> result = null;
data.UpperTriangle(result);
}
[Test]
[ExpectedArgumentException]
public void UpperTriangleWithUnEqualRowsShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var result = CreateMatrix(data.RowCount + 1, data.ColumnCount);
data.UpperTriangle(result);
}
[Test]
[ExpectedArgumentException]
public void UpperTriangleWithUnEqualColumnsShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var result = CreateMatrix(data.RowCount, data.ColumnCount + 1);
data.UpperTriangle(result);
}
[Test]
public void StrictlyLowerTriangle()
{
foreach (var data in TestMatrices.Values)
{
var lower = data.StrictlyLowerTriangle();
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
if (i > j)
{
Assert.AreEqual(data[i, j], lower[i, j]);
}
else
{
Assert.AreEqual(0, lower[i, j]);
}
}
}
}
}
[Test]
public void StrictlyLowerTriangleResult()
{
foreach (var data in TestMatrices.Values)
{
var lower = CreateMatrix(data.RowCount, data.ColumnCount);
data.StrictlyLowerTriangle(lower);
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
if (i > j)
{
Assert.AreEqual(data[i, j], lower[i, j]);
}
else
{
Assert.AreEqual(0, lower[i, j]);
}
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void StrictlyLowerTriangleWithNullParameterShouldThrowException()
{
var data = TestMatrices["Square3x3"];
Matrix<double> lower = null;
data.StrictlyLowerTriangle(lower);
}
[Test]
[ExpectedArgumentException]
public void StrictlyLowerTriangleWithInvalidColumnNumberShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var lower = CreateMatrix(data.RowCount, data.ColumnCount + 1);
data.StrictlyLowerTriangle(lower);
}
[Test]
[ExpectedArgumentException]
public void StrictlyLowerTriangleWithInvalidRowNumberShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var lower = CreateMatrix(data.RowCount + 1, data.ColumnCount);
data.StrictlyLowerTriangle(lower);
}
[Test]
public void StrictlyUpperTriangle()
{
foreach (var data in TestMatrices.Values)
{
var lower = data.StrictlyUpperTriangle();
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
if (i < j)
{
Assert.AreEqual(data[i, j], lower[i, j]);
}
else
{
Assert.AreEqual(0, lower[i, j]);
}
}
}
}
}
[Test]
public void StrictlyUpperTriangleResult()
{
foreach (var data in TestMatrices.Values)
{
var lower = CreateMatrix(data.RowCount, data.ColumnCount);
data.StrictlyUpperTriangle(lower);
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
if (i < j)
{
Assert.AreEqual(data[i, j], lower[i, j]);
}
else
{
Assert.AreEqual(0, lower[i, j]);
}
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void StrictlyUpperTriangleWithNullParameterShouldThrowException()
{
var data = TestMatrices["Square3x3"];
Matrix<double> lower = null;
data.StrictlyUpperTriangle(lower);
}
[Test]
[ExpectedArgumentException]
public void StrictlyUpperTriangleWithInvalidColumnNumberShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var lower = CreateMatrix(data.RowCount, data.ColumnCount + 1);
data.StrictlyUpperTriangle(lower);
}
[Test]
[ExpectedArgumentException]
public void StrictlyUpperTriangleWithInvalidRowNumberShouldThrowException()
{
var data = TestMatrices["Square3x3"];
var lower = CreateMatrix(data.RowCount + 1, data.ColumnCount);
data.StrictlyUpperTriangle(lower);
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Square4x4")]
[Row("Tall3x2")]
[Row("Wide2x3")]
[MultipleAsserts]
public void CanTransposeMatrix(string name)
{
var matrix = CreateMatrix(TestData2D[name]);
var transpose = matrix.Transpose();
Assert.AreNotSame(matrix, transpose);
Assert.AreEqual(matrix.RowCount, transpose.ColumnCount);
Assert.AreEqual(matrix.ColumnCount, transpose.RowCount);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], transpose[j, i]);
}
}
}
[Test]
[Row("Singular3x3", new double[] { 1, 2, 3 })]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Tall3x2", new double[] { 1, 2, 3 })]
[Row("Wide2x3", new double[] { 1, 2 })]
[Row("Singular3x3", null, ExpectedException = typeof(ArgumentNullException))]
[Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
public virtual void SetColumnWithArray(string name, double[] column)
{
var matrix = TestMatrices[name];
for (var i = 0; i < matrix.ColumnCount; i++)
{
matrix.SetColumn(i, column);
for (var j = 0; j < matrix.RowCount; j++)
{
Assert.AreEqual(matrix[j, i], column[j]);
}
}
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetColumnArrayWithInvalidColumnIndexShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
double[] column = { 1, 2, 3 };
matrix.SetColumn(-1, column);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetColumnArrayWithInvalidColumnIndexShouldThrowException2()
{
var matrix = TestMatrices["Square3x3"];
double[] column = { 1, 2, 3 };
matrix.SetColumn(matrix.ColumnCount + 1, column);
}
[Test]
[Row("Singular3x3", new double[] { 1, 2, 3 })]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Tall3x2", new double[] { 1, 2, 3 })]
[Row("Wide2x3", new double[] { 1, 2 })]
[Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
public virtual void SetColumnWithVector(string name, double[] column)
{
var matrix = TestMatrices[name];
var columnVector = CreateVector(column);
for (var i = 0; i < matrix.ColumnCount; i++)
{
matrix.SetColumn(i, column);
for (var j = 0; j < matrix.RowCount; j++)
{
Assert.AreEqual(matrix[j, i], columnVector[j]);
}
}
}
[Test]
[ExpectedArgumentNullException]
public void SetColumnWithNullVectorShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
Vector<double> columnVector = null;
matrix.SetColumn(1, columnVector);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetColumnVectorWithInvalidColumnIndexShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
var column = CreateVector(new double[] { 1, 2, 3 });
matrix.SetColumn(-1, column);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetColumnVectorWithInvalidColumnIndexShouldThrowException2()
{
var matrix = TestMatrices["Square3x3"];
var column = CreateVector(new double[] { 1, 2, 3 });
matrix.SetColumn(matrix.ColumnCount + 1, column);
}
[Test]
public void InsertColumn()
{
var matrix = CreateMatrix(3, 3);
var column = CreateVector(matrix.RowCount);
for (var i = 0; i < column.Count; i++)
{
column[i] = i;
}
for (var k = 0; k < matrix.ColumnCount + 1; k++)
{
var result = matrix.InsertColumn(k, column);
Assert.AreEqual(result.ColumnCount, matrix.ColumnCount + 1);
for (var col = 0; col < result.ColumnCount; col++)
{
for (var row = 0; row < result.RowCount; row++)
{
if (col == k)
{
Assert.AreEqual(row, result[row, col]);
}
else
{
Assert.AreEqual(0, result[row, col]);
}
}
}
}
}
[Test]
[ExpectedException(typeof(ArgumentNullException))]
public void InsertNullColumnShouldThrowExecption()
{
var matrix = TestMatrices["Square3x3"];
matrix.InsertColumn(0, null);
}
[Test]
[Row(-1, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(5, ExpectedException = typeof(ArgumentOutOfRangeException))]
public void InsertColumnWithInvalidColumnIndexShouldThrowExceptiopn(int columnIndex)
{
var matrix = CreateMatrix(3, 3);
var column = CreateVector(matrix.RowCount);
matrix.InsertColumn(columnIndex, column);
}
public void InsertColumnWithInvalidNumberOfElementsShouldThrowException()
{
var matrix = CreateMatrix(3, 3);
var column = CreateVector(matrix.RowCount + 1);
matrix.InsertColumn(0, column);
}
[Test]
[Row("Singular3x3", new double[] { 1, 2, 3 })]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Tall3x2", new double[] { 1, 2 })]
[Row("Wide2x3", new double[] { 1, 2, 3 })]
[Row("Singular3x3", null, ExpectedException = typeof(ArgumentNullException))]
[Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
public virtual void SetRowWithArray(string name, double[] row)
{
var matrix = TestMatrices[name];
for (var i = 0; i < matrix.RowCount; i++)
{
matrix.SetRow(i, row);
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], row[j]);
}
}
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetRowArrayWithInvalidRowIndexShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
double[] row = { 1, 2, 3 };
matrix.SetRow(-1, row);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetRowArrayWithInvalidRowIndexShouldThrowException2()
{
var matrix = TestMatrices["Square3x3"];
double[] row = { 1, 2, 3 };
matrix.SetRow(matrix.RowCount + 1, row);
}
[Test]
[Row("Singular3x3", new double[] { 1, 2, 3 })]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Tall3x2", new double[] { 1, 2 })]
[Row("Wide2x3", new double[] { 1, 2, 3 })]
[Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
public virtual void SetRowWithVector(string name, double[] row)
{
var matrix = TestMatrices[name];
var rowVector = CreateVector(row);
for (var i = 0; i < matrix.RowCount; i++)
{
matrix.SetRow(i, row);
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], rowVector[j]);
}
}
}
[Test]
[ExpectedArgumentNullException]
public void SetRowWithNullVectorShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
Vector<double> rowVector = null;
matrix.SetRow(1, rowVector);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetRowVectorWithInvalidRowIndexShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
var row = CreateVector(new double[] { 1, 2, 3 });
matrix.SetRow(-1, row);
}
[Test]
[ExpectedArgumentOutOfRangeException]
public void SetRowVectorWithInvalidRowIndexShouldThrowException2()
{
var matrix = TestMatrices["Square3x3"];
var row = CreateVector(new double[] { 1, 2, 3 });
matrix.SetRow(matrix.RowCount + 1, row);
}
[Test]
[Row(0, 2, 0, 2)]
[Row(1, 1, 1, 1)]
[Row(0, 4, 0, 2, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(0, 2, 0, 4, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(4, 2, 0, 2, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(0, 2, 4, 2, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(-1, 2, 0, 2, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(0, 2, -1, 2, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(0, -1, 0, 2, ExpectedException = typeof(ArgumentException))]
[Row(0, 2, 0, -1, ExpectedException = typeof(ArgumentException))]
public virtual void SetSubMatrix(int rowStart, int rowLength, int colStart, int colLength)
{
foreach (var matrix in TestMatrices.Values)
{
var subMatrix = matrix.SubMatrix(0, 2, 0, 2);
subMatrix[0, 0] = 10.0;
subMatrix[0, 1] = -1.0;
subMatrix[1, 0] = 3.0;
subMatrix[1, 1] = 4.0;
matrix.SetSubMatrix(rowStart, rowLength, colStart, colLength, subMatrix);
for (int i = rowStart, ii = 0; i < rowLength; i++, ii++)
{
for (int j = colStart, jj = 0; j < colLength; j++, jj++)
{
Assert.AreEqual(matrix[i, j], subMatrix[ii, jj]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void SetSubMatrixWithNullSubMatrixShouldThrowException()
{
var data = TestMatrices["Square3x3"];
Matrix<double> subMatrix = null;
data.SetSubMatrix(0, 2, 0, 2, subMatrix);
}
[Test]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Wide2x3", new double[] { 1, 2 })]
[Row("Wide2x3", new double[] { 1, 2, 3 }, ExpectedException = typeof(ArgumentException))]
[Row("Tall3x2", new double[] { 1, 2 })]
public void SetDiagonalVector(string name, double[] diagonal)
{
var matrix = TestMatrices[name];
var vector = CreateVector(diagonal);
matrix.SetDiagonal(vector);
var min = Math.Min(matrix.ColumnCount, matrix.RowCount);
Assert.AreEqual(diagonal.Length, min);
for (var i = 0; i < vector.Count; i++)
{
Assert.AreEqual(vector[i], matrix[i, i]);
}
}
[Test]
[ExpectedArgumentNullException]
public void SetDiagonalWithNullVectorParameterShouldThrowException()
{
var matrix = TestMatrices["Square3x3"];
Vector<double> vector = null;
matrix.SetDiagonal(vector);
}
[Test]
[Row("Square3x3", new double[] { 1, 2, 3 })]
[Row("Wide2x3", new double[] { 1, 2 })]
[Row("Wide2x3", new double[] { 1, 2, 3 }, ExpectedException = typeof(ArgumentException))]
[Row("Tall3x2", new double[] { 1, 2 })]
[Row("Square3x3", null, ExpectedException = typeof(ArgumentNullException))]
public void SetDiagonalArray(string name, double[] diagonal)
{
var matrix = TestMatrices[name];
matrix.SetDiagonal(diagonal);
var min = Math.Min(matrix.ColumnCount, matrix.RowCount);
Assert.AreEqual(diagonal.Length, min);
for (var i = 0; i < diagonal.Length; i++)
{
Assert.AreEqual(diagonal[i], matrix[i, i]);
}
}
[Test]
public void InsertRow()
{
var matrix = CreateMatrix(3, 3);
var row = CreateVector(matrix.ColumnCount);
for (var i = 0; i < row.Count; i++)
{
row[i] = i;
}
for (var insertedRowIndex = 0; insertedRowIndex < matrix.RowCount + 1; insertedRowIndex++)
{
var result = matrix.InsertRow(insertedRowIndex, row);
Assert.AreEqual(result.RowCount, matrix.ColumnCount + 1);
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
if (i == insertedRowIndex)
{
Assert.AreEqual(row[j], result[i, j]);
}
else
{
Assert.AreEqual(0, result[i, j]);
}
}
}
}
}
[Test]
[ExpectedException(typeof(ArgumentNullException))]
public void InsertNullRowShouldThrowExecption()
{
var matrix = TestMatrices["Square3x3"];
matrix.InsertRow(0, null);
}
[Test]
[Row(-1, ExpectedException = typeof(ArgumentOutOfRangeException))]
[Row(5, ExpectedException = typeof(ArgumentOutOfRangeException))]
public void InsertRowWithInvalidRowIndexShouldThrowExceptiopn(int rowIndex)
{
var matrix = CreateMatrix(3, 3);
var row = CreateVector(matrix.ColumnCount);
matrix.InsertRow(rowIndex, row);
}
public void InsertRowWithInvalidNumberOfElementsShouldThrowException()
{
var matrix = CreateMatrix(3, 3);
var row = CreateVector(matrix.ColumnCount + 1);
matrix.InsertRow(0, row);
}
[Test]
public void ToArray()
{
foreach (var data in TestMatrices.Values)
{
var array = data.ToArray();
Assert.AreEqual(data.RowCount, array.GetLength(0));
Assert.AreEqual(data.ColumnCount, array.GetLength(1));
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
Assert.AreEqual(data[i, j], array[i, j]);
}
}
}
}
[Test]
public void ToColumnWiseArray()
{
foreach (var data in TestMatrices.Values)
{
var array = data.ToColumnWiseArray();
Assert.AreEqual(data.RowCount * data.ColumnCount, array.Length);
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
Assert.AreEqual(data[i, j], array[j * data.RowCount + i]);
}
}
}
}
[Test]
public void ToRowWiseArray()
{
foreach (var data in TestMatrices.Values)
{
var array = data.ToRowWiseArray();
Assert.AreEqual(data.RowCount * data.ColumnCount, array.Length);
for (var i = 0; i < data.RowCount; i++)
{
for (var j = 0; j < data.ColumnCount; j++)
{
Assert.AreEqual(data[i, j], array[i * data.ColumnCount + j]);
}
}
}
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Tall3x2")]
[MultipleAsserts]
public virtual void CanPermuteMatrixRows(string name)
{
var matrix = CreateMatrix(TestData2D[name]);
var matrixp = CreateMatrix(TestData2D[name]);
var permutation = new Permutation(new[] { 2, 0, 1 });
matrixp.PermuteRows(permutation);
Assert.AreNotSame(matrix, matrixp);
Assert.AreEqual(matrix.RowCount, matrixp.RowCount);
Assert.AreEqual(matrix.ColumnCount, matrixp.ColumnCount);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], matrixp[permutation[i], j]);
}
}
}
[Test]
[Row("Singular3x3")]
[Row("Square3x3")]
[Row("Wide2x3")]
[MultipleAsserts]
public virtual void CanPermuteMatrixColumns(string name)
{
var matrix = CreateMatrix(TestData2D[name]);
var matrixp = CreateMatrix(TestData2D[name]);
var permutation = new Permutation(new[] { 2, 0, 1 });
matrixp.PermuteColumns(permutation);
Assert.AreNotSame(matrix, matrixp);
Assert.AreEqual(matrix.RowCount, matrixp.RowCount);
Assert.AreEqual(matrix.ColumnCount, matrixp.ColumnCount);
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Assert.AreEqual(matrix[i, j], matrixp[i, permutation[j]]);
}
}
}
[Test]
public void CanAppendMatrices()
{
var left = CreateMatrix(TestData2D["Singular3x3"]);
var right = CreateMatrix(TestData2D["Tall3x2"]);
var result = left.Append(right);
Assert.AreEqual(left.ColumnCount + right.ColumnCount, result.ColumnCount);
Assert.AreEqual(left.RowCount, right.RowCount);
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
if (j < left.ColumnCount)
{
Assert.AreEqual(left[i, j], result[i, j]);
}
else
{
Assert.AreEqual(right[i, j - left.ColumnCount], result[i, j]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void CanAppendWithRightParameterNullShouldThrowException()
{
var left = TestMatrices["Square3x3"];
Matrix<double> right = null;
left.Append(right);
}
[Test]
[ExpectedArgumentNullException]
public void CanAppendWithResultParameterNullShouldThrowException()
{
var left = TestMatrices["Square3x3"];
var right = TestMatrices["Tall3x2"];
Matrix<double> result = null;
left.Append(right, result);
}
[Test]
[ExpectedArgumentException]
public void AppendingTwoMatricesWithDifferentRowCountShouldThrowException()
{
var left = TestMatrices["Square3x3"];
var right = TestMatrices["Wide2x3"];
var result = left.Append(right);
}
[Test]
[ExpectedArgumentException]
public void AppendingWithInvalidResultMatrixColumnsShouldThrowException()
{
var left = TestMatrices["Square3x3"];
var right = TestMatrices["Tall3x2"];
var result = CreateMatrix(3, 2);
left.Append(right, result);
}
[Test]
public void CanStackMatrices()
{
var top = TestMatrices["Square3x3"];
var bottom = TestMatrices["Wide2x3"];
var result = top.Stack(bottom);
Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
Assert.AreEqual(top.ColumnCount, result.ColumnCount);
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
if (i < top.RowCount)
{
Assert.AreEqual(result[i, j], top[i, j]);
}
else
{
Assert.AreEqual(result[i, j], bottom[i - top.RowCount, j]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void StackingWithBottomParameterNullShouldThrowException()
{
var top = TestMatrices["Square3x3"];
Matrix<double> bottom = null;
var result = CreateMatrix(top.RowCount + top.RowCount, top.ColumnCount);
top.Stack(bottom, result);
}
[Test]
[ExpectedArgumentNullException]
public void StackingWithResultParameterNullShouldThrowException()
{
var top = TestMatrices["Square3x3"];
var bottom = TestMatrices["Square3x3"];
Matrix<double> result = null;
top.Stack(bottom, result);
}
[Test]
[ExpectedArgumentException]
public void StackingTwoMatricesWithDifferentColumnsShouldThrowException()
{
var top = TestMatrices["Square3x3"];
var lower = TestMatrices["Tall3x2"];
var result = CreateMatrix(top.RowCount + lower.RowCount, top.ColumnCount);
top.Stack(lower, result);
}
[Test]
[ExpectedArgumentException]
public void StackingWithInvalidResultMatrixRowsShouldThrowException()
{
var top = TestMatrices["Square3x3"];
var bottom = TestMatrices["Wide2x3"];
var result = CreateMatrix(1, 3);
top.Stack(bottom, result);
}
[Test]
public void CanDiagonallyStackMatrics()
{
var top = TestMatrices["Tall3x2"];
var bottom = TestMatrices["Wide2x3"];
var result = top.DiagonalStack(bottom);
Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
Assert.AreEqual(top.ColumnCount + bottom.ColumnCount, result.ColumnCount);
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
if (i < top.RowCount && j < top.ColumnCount)
{
Assert.AreEqual(top[i, j], result[i, j]);
}
else if (i >= top.RowCount && j >= top.ColumnCount)
{
Assert.AreEqual(bottom[i - top.RowCount, j - top.ColumnCount], result[i, j]);
}
else
{
Assert.AreEqual(0, result[i, j]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void DiagonalStackWithLowerNullShouldThrowException()
{
var top = TestMatrices["Square3x3"];
Matrix<double> lower = null;
top.DiagonalStack(lower);
}
[Test]
public virtual void CanDiagonallyStackMatricesWithPassingResult()
{
var top = TestMatrices["Tall3x2"];
var bottom = TestMatrices["Wide2x3"];
var result = CreateMatrix(top.RowCount + bottom.RowCount, top.ColumnCount + bottom.ColumnCount);
top.DiagonalStack(bottom, result);
Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
Assert.AreEqual(top.ColumnCount + bottom.ColumnCount, result.ColumnCount);
for (var i = 0; i < result.RowCount; i++)
{
for (var j = 0; j < result.ColumnCount; j++)
{
if (i < top.RowCount && j < top.ColumnCount)
{
Assert.AreEqual(top[i, j], result[i, j]);
}
else if (i >= top.RowCount && j >= top.ColumnCount)
{
Assert.AreEqual(bottom[i - top.RowCount, j - top.ColumnCount], result[i, j]);
}
else
{
Assert.AreEqual(0, result[i, j]);
}
}
}
}
[Test]
[ExpectedArgumentNullException]
public void DiagonalStackWithResultNullShouldThrowException()
{
var top = TestMatrices["Square3x3"];
var lower = TestMatrices["Wide2x3"];
Matrix<double> result = null;
top.DiagonalStack(lower, result);
}
[Test]
[ExpectedArgumentException]
public void DiagonalStackWithInvalidResultMatrixShouldThrowException()
{
var top = TestMatrices["Square3x3"];
var lower = TestMatrices["Wide2x3"];
var result = CreateMatrix(top.RowCount + lower.RowCount + 2, top.ColumnCount + lower.ColumnCount);
top.DiagonalStack(lower, result);
}
[Test]
public virtual void FrobeniusNorm()
{
var matrix = TestMatrices["Square3x3"];
AssertHelpers.AlmostEqual(10.77775486824598, matrix.FrobeniusNorm(), 14);
matrix = TestMatrices["Wide2x3"];
AssertHelpers.AlmostEqual(4.79478883789474, matrix.FrobeniusNorm(), 14);
matrix = TestMatrices["Tall3x2"];
AssertHelpers.AlmostEqual(7.54122006044115, matrix.FrobeniusNorm(), 14);
}
[Test]
public virtual void InfinityNorm()
{
var matrix = TestMatrices["Square3x3"];
Assert.AreEqual(16.5, matrix.InfinityNorm());
matrix = TestMatrices["Wide2x3"];
Assert.AreEqual(6.6, matrix.InfinityNorm());
matrix = TestMatrices["Tall3x2"];
Assert.AreEqual(9.9, matrix.InfinityNorm());
}
[Test]
public virtual void L1Norm()
{
var matrix = TestMatrices["Square3x3"];
Assert.AreEqual(12.1, matrix.L1Norm());
matrix = TestMatrices["Wide2x3"];
Assert.AreEqual(5.5, matrix.L1Norm());
matrix = TestMatrices["Tall3x2"];
Assert.AreEqual(8.8, matrix.L1Norm());
}
[Test]
public virtual void L2Norm()
{
var matrix = TestMatrices["Square3x3"];
AssertHelpers.AlmostEqual(10.391347375312632, matrix.L2Norm(), 14);
matrix = TestMatrices["Wide2x3"];
AssertHelpers.AlmostEqual(4.7540849434107635, matrix.L2Norm(), 14);
matrix = TestMatrices["Tall3x2"];
AssertHelpers.AlmostEqual(7.182727033856683, matrix.L2Norm(), 14);
}
}
}