Alexander Karatarakis
14 years ago
3 changed files with 316 additions and 0 deletions
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// <copyright file="SymmetricMatrixTests.Arithmetic.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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// http://mathnetnumerics.codeplex.com
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// Copyright (c) 2009-2010 Math.NET
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double |
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{ |
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using System.Collections.Generic; |
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using LinearAlgebra.Double; |
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using NUnit.Framework; |
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/// <summary>
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/// Abstract class with the common set of matrix tests for symmetric matrices
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/// </summary>
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public abstract partial class SymmetricMatrixTests |
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{ |
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/// <summary>
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/// Setup test matrices.
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/// Singular and Square matrices are overridden here with symmetric ones so that calls to base methods work as intended.
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/// Additional NonSymmetric matrices are defined for some tests.
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/// </summary>
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[SetUp] |
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public override void SetupMatrices() |
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{ |
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TestData2D = new Dictionary<string, double[,]> |
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{ |
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{ "Singular3x3", new[,] { { 1.0, 2.0, 3.0 }, { 2.0, 0.0, 0.0 }, { 3.0, 0.0, 0.0 } } }, |
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{ "Square3x3", new[,] { { -1.1, 2.0, 3.0 }, { 2.0, 1.1, 0.0 }, { 3.0, 0.0, 6.6 } } }, |
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{ "Square4x4", new[,] { { 1.1, 2.0, -3.0, 4.4 }, { 2.0, 5.0, -6.0, 7.0 }, { -3.0, -6.0, 8.0, 9.0 }, { 4.4, 7.0, 9.0, 10.0 } } }, |
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{ "Singular4x4", new[,] { { 1.0, 2.0, 0.0, 4.0 }, { 2.0, 5.0, 0.0, 7.0 }, { 0.0, 0.0, 0.0, 0.0 }, { 4.0, 7.0, 0.0, 10.0 } } }, |
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{ "Tall3x2", new[,] { { -1.1, -2.2 }, { 0.0, 1.1 }, { -4.4, 5.5 } } }, |
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{ "Wide2x3", new[,] { { -1.1, -2.2, -3.3 }, { 0.0, 1.1, 2.2 } } }, |
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{ "Symmetric3x3", new[,] { { 1.0, 2.0, 3.0 }, { 2.0, 2.0, 0.0 }, { 3.0, 0.0, 3.0 } } }, |
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{ "NonSymmetric3x3", new[,] { { -1.1, -2.2, -3.3 }, { 0.0, 1.1, 2.2 }, { -4.4, 5.5, 6.6 } } }, |
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{ "NonSymmetric4x4", new[,] { { -1.1, -2.2, -3.3, -4.4 }, { 0.0, 1.1, 2.2, 3.3 }, { 1.0, 2.1, 6.2, 4.3 }, { -4.4, 5.5, 6.6, -7.7 } } }, |
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{ "IndexTester4x4", new double[,] { { 0, 1, 3, 6 }, { 1, 2, 4, 7 }, { 3, 4, 5, 8 }, { 6, 7, 8, 9 } } } |
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}; |
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TestMatrices = new Dictionary<string, Matrix>(); |
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foreach (var name in TestData2D.Keys) |
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{ |
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TestMatrices.Add(name, CreateMatrix(TestData2D[name])); |
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} |
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} |
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/// <summary>
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/// Can add a non-symmetric matrix to this symmetric matrix.
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/// </summary>
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/// <param name="mtxA">Matrix A name.</param>
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/// <param name="mtxB">Matrix B name.</param>
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[Test, Sequential] |
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public void CanAddNonSymmetricMatrix([Values("Square3x3", "Square4x4")] string mtxA, [Values("NonSymmetric3x3", "NonSymmetric4x4")] string mtxB) |
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{ |
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var matrixA = TestMatrices[mtxA]; |
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var matrixB = TestMatrices[mtxB]; |
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var matrix = matrixA.Clone(); |
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matrix = matrix.Add(matrixB); |
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for (var i = 0; i < matrix.RowCount; i++) |
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{ |
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for (var j = 0; j < matrix.ColumnCount; j++) |
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{ |
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Assert.AreEqual(matrix[i, j], matrixA[i, j] + matrixB[i, j]); |
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} |
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} |
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} |
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/// <summary>
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/// Can subtract a non-symmetric matrix from this symmetric matrix.
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/// </summary>
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/// <param name="mtxA">Matrix A name.</param>
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/// <param name="mtxB">Matrix B name.</param>
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[Test, Sequential] |
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public void CanSubtractNonSymmetricMatrix([Values("Square3x3", "Square4x4")] string mtxA, [Values("NonSymmetric3x3", "NonSymmetric4x4")] string mtxB) |
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{ |
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var matrixA = TestMatrices[mtxA]; |
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var matrixB = TestMatrices[mtxB]; |
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var matrix = matrixA.Clone(); |
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matrix = matrix.Subtract(matrixB); |
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for (var i = 0; i < matrix.RowCount; i++) |
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{ |
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for (var j = 0; j < matrix.ColumnCount; j++) |
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{ |
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Assert.AreEqual(matrix[i, j], matrixA[i, j] - matrixB[i, j]); |
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} |
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} |
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} |
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/// <summary>
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/// Can compute Frobenius norm.
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/// </summary>
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public override void CanComputeFrobeniusNorm() |
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{ |
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var matrix = TestMatrices["Square3x3"]; |
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var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14); |
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matrix = TestMatrices["Wide2x3"]; |
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denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14); |
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matrix = TestMatrices["Tall3x2"]; |
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denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]); |
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AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14); |
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} |
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/// <summary>
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/// Can compute Infinity norm.
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/// </summary>
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public override void CanComputeInfinityNorm() |
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{ |
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var matrix = TestMatrices["Square3x3"]; |
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var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14); |
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matrix = TestMatrices["Wide2x3"]; |
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denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14); |
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matrix = TestMatrices["Tall3x2"]; |
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denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]); |
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AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14); |
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} |
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/// <summary>
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/// Can compute L1 norm.
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/// </summary>
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public override void CanComputeL1Norm() |
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{ |
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var matrix = TestMatrices["Square3x3"]; |
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var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14); |
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matrix = TestMatrices["Wide2x3"]; |
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denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14); |
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matrix = TestMatrices["Tall3x2"]; |
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denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14); |
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} |
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/// <summary>
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/// Can compute L2 norm.
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/// </summary>
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public override void CanComputeL2Norm() |
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{ |
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var matrix = TestMatrices["Square3x3"]; |
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var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14); |
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matrix = TestMatrices["Wide2x3"]; |
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denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14); |
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matrix = TestMatrices["Tall3x2"]; |
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denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]); |
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AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14); |
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} |
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} |
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} |
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@ -0,0 +1,123 @@ |
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// <copyright file="SymmetricMatrixTests.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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// http://mathnetnumerics.codeplex.com
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// Copyright (c) 2009-2010 Math.NET
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// Permission is hereby granted, free of charge, to any person
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||||
|
// obtaining a copy of this software and associated documentation
|
||||
|
// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
|
||||
|
// copy, modify, merge, publish, distribute, sublicense, and/or sell
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||||
|
// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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|
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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|
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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|
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double |
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{ |
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using MathNet.Numerics.LinearAlgebra.Double; |
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using NUnit.Framework; |
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/// <summary>
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/// Abstract class with the common set of matrix tests for symmetric matrices.
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/// </summary>
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public abstract partial class SymmetricMatrixTests : MatrixTests |
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{ |
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/// <summary>
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/// Can check if a matrix is symmetric.
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/// </summary>
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[Test] |
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public override void CanCheckIfMatrixIsSymmetric() |
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{ |
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var matrix = TestMatrices["Square3x3"]; |
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Assert.IsTrue(matrix.IsSymmetric); |
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matrix = TestMatrices["NonSymmetric3x3"]; |
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Assert.IsFalse(matrix.IsSymmetric); |
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} |
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/// <summary>
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/// Can check if a [,] array is symmetric.
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/// </summary>
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[Test] |
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public void CanCheckIfArrayIsSymmetric() |
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{ |
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Assert.IsTrue(SymmetricMatrix.CheckIfSymmetric(TestData2D["Square3x3"])); |
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Assert.IsFalse(SymmetricMatrix.CheckIfSymmetric(TestData2D["NonSymmetric3x3"])); |
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} |
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/// <summary>
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/// Test whether the index enumerator returns the correct values.
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/// </summary>
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[Test] |
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public void CanUseIndexedEnumerator() |
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{ |
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var matrix = TestMatrices["Singular3x3"]; |
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var enumerator = matrix.IndexedEnumerator().GetEnumerator(); |
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enumerator.MoveNext(); |
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var item = enumerator.Current; |
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Assert.AreEqual(0, item.Item1); |
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Assert.AreEqual(0, item.Item2); |
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Assert.AreEqual(1.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(0, item.Item1); |
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Assert.AreEqual(1, item.Item2); |
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Assert.AreEqual(2.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(0, item.Item1); |
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Assert.AreEqual(2, item.Item2); |
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Assert.AreEqual(3.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(1, item.Item1); |
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Assert.AreEqual(0, item.Item2); |
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Assert.AreEqual(2.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(1, item.Item1); |
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Assert.AreEqual(1, item.Item2); |
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Assert.AreEqual(0.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(1, item.Item1); |
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Assert.AreEqual(2, item.Item2); |
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Assert.AreEqual(0.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(2, item.Item1); |
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Assert.AreEqual(0, item.Item2); |
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Assert.AreEqual(3.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(2, item.Item1); |
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Assert.AreEqual(1, item.Item2); |
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Assert.AreEqual(0.0, item.Item3); |
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enumerator.MoveNext(); |
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item = enumerator.Current; |
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Assert.AreEqual(2, item.Item1); |
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Assert.AreEqual(2, item.Item2); |
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Assert.AreEqual(0.0, item.Item3); |
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} |
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} |
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} |
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