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253 lines
11 KiB
253 lines
11 KiB
// <copyright file="MatrixLoader.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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//
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// Copyright (c) 2009-2013 Math.NET
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//
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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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//
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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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//
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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.Complex32
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{
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using System.Collections.Generic;
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using Distributions;
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using LinearAlgebra.Complex32;
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using LinearAlgebra.Generic;
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using Numerics.Random;
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using NUnit.Framework;
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using Complex32 = Numerics.Complex32;
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/// <summary>
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/// Base class for matrix tests.
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/// </summary>
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public abstract class MatrixLoader
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{
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/// <summary>
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/// Gets or sets test matrices values to use.
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/// </summary>
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protected Dictionary<string, Complex32[,]> TestData2D { get; set; }
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/// <summary>
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/// Gets or sets test matrices instances to use.
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/// </summary>
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protected Dictionary<string, Matrix> TestMatrices { get; set; }
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/// <summary>
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/// Creates a matrix for the given number of rows and columns.
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/// </summary>
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/// <param name="rows">The number of rows.</param>
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/// <param name="columns">The number of columns.</param>
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/// <returns>A matrix with the given dimensions.</returns>
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protected abstract Matrix CreateMatrix(int rows, int columns);
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/// <summary>
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/// Creates a matrix from a 2D array.
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/// </summary>
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/// <param name="data">The 2D array to create this matrix from.</param>
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/// <returns>A matrix with the given values.</returns>
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protected abstract Matrix CreateMatrix(Complex32[,] data);
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/// <summary>
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/// Creates a vector of the given size.
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/// </summary>
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/// <param name="size">The size of the vector to create.
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/// </param>
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/// <returns>The new vector. </returns>
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protected abstract Vector CreateVector(int size);
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/// <summary>
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/// Creates a vector from an array.
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/// </summary>
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/// <param name="data">The array to create this vector from.</param>
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/// <returns>The new vector. </returns>
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protected abstract Vector CreateVector(Complex32[] data);
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/// <summary>
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/// Setup test matrices.
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/// </summary>
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[SetUp]
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public virtual void SetupMatrices()
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{
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TestData2D = new Dictionary<string, Complex32[,]>
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{
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{"Singular3x3", new[,] {{new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1)}, {new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1)}, {new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1)}}},
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{"Square3x3", new[,] {{new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1)}, {Complex32.Zero, new Complex32(1.1f, 1), new Complex32(2.2f, 1)}, {new Complex32(-4.4f, 1), new Complex32(5.5f, 1), new Complex32(6.6f, 1)}}},
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{"Square4x4", new[,] {{new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1), new Complex32(-4.4f, 1)}, {Complex32.Zero, new Complex32(1.1f, 1), new Complex32(2.2f, 1), new Complex32(3.3f, 1)}, {new Complex32(1.0f, 1), new Complex32(2.1f, 1), new Complex32(6.2f, 1), new Complex32(4.3f, 1)}, {new Complex32(-4.4f, 1), new Complex32(5.5f, 1), new Complex32(6.6f, 1), new Complex32(-7.7f, 1)}}},
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{"Singular4x4", new[,] {{new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1), new Complex32(-4.4f, 1)}, {new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1), new Complex32(-4.4f, 1)}, {new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1), new Complex32(-4.4f, 1)}, {new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1), new Complex32(-4.4f, 1)}}},
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{"Tall3x2", new[,] {{new Complex32(-1.1f, 1), new Complex32(-2.2f, 1)}, {Complex32.Zero, new Complex32(1.1f, 1)}, {new Complex32(-4.4f, 1), new Complex32(5.5f, 1)}}},
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{"Wide2x3", new[,] {{new Complex32(-1.1f, 1), new Complex32(-2.2f, 1), new Complex32(-3.3f, 1)}, {Complex32.Zero, new Complex32(1.1f, 1), new Complex32(2.2f, 1)}}},
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{"Symmetric3x3", new[,] {{Complex32.One, 2.0f, 3.0f}, {2.0f, 2.0f, 0.0f}, {3.0f, 0.0f, 3.0f}}}
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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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/// Creates a <c>DenseMatrix</c> with random values.
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/// </summary>
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/// <param name="row">The number of rows.</param>
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/// <param name="col">The number of columns.</param>
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/// <returns>A <c>DenseMatrix</c> with the given dimensions and random values.</returns>
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public static Matrix GenerateRandomDenseMatrix(int row, int col)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var matrixA = new DenseMatrix(row, col);
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for (var i = 0; i < row; i++)
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{
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for (var j = 0; j < col; j++)
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{
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matrixA[i, j] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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}
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return matrixA;
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}
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/// <summary>
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/// Creates a positive definite <c>DenseMatrix</c> with random values.
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/// </summary>
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/// <param name="order">The order of the matrix.</param>
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/// <returns>A positive definite <c>DenseMatrix</c> with the given order and random values.</returns>
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public static Matrix<Complex32> GenerateRandomPositiveDefiniteHermitianDenseMatrix(int order)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var matrixA = new DenseMatrix(order);
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for (var i = 0; i < order; i++)
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{
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for (var j = 0; j < order; j++)
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{
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matrixA[i, j] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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}
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// Generate a Hermitian matrix which is positive definite.
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return matrixA.ConjugateTranspose()*matrixA;
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}
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/// <summary>
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/// Creates a <c>DenseVector</c> with random values.
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/// </summary>
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/// <param name="order">The size of the vector.</param>
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/// <returns>A <c>DenseVector</c> with the given dimension and random values.</returns>
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public static Vector GenerateRandomDenseVector(int order)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var v = new DenseVector(order);
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for (var i = 0; i < order; i++)
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{
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v[i] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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return v;
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}
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/// <summary>
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/// Creates a <c>UserDefinedMatrix</c> with random values.
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/// </summary>
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/// <param name="row">The number of rows.</param>
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/// <param name="col">The number of columns.</param>
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/// <returns>A <c>UserDefinedMatrix</c> with the given dimensions and random values.</returns>
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public static Matrix GenerateRandomUserDefinedMatrix(int row, int col)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var matrixA = new UserDefinedMatrix(row, col);
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for (var i = 0; i < row; i++)
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{
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for (var j = 0; j < col; j++)
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{
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matrixA[i, j] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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}
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return matrixA;
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}
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/// <summary>
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/// Creates a positive definite <c>UserDefinedMatrix</c> with random values.
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/// </summary>
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/// <param name="order">The order of the matrix.</param>
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/// <returns>A positive definite <c>UserDefinedMatrix</c> with the given order and random values.</returns>
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public static Matrix<Complex32> GenerateRandomPositiveDefiniteHermitianUserDefinedMatrix(int order)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var matrixA = new UserDefinedMatrix(order);
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for (var i = 0; i < order; i++)
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{
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for (var j = 0; j < order; j++)
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{
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matrixA[i, j] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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}
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// Generate a Hermitian matrix which is positive definite.
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return matrixA.ConjugateTranspose()*matrixA;
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}
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/// <summary>
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/// Creates a <c>UserDefinedVector</c> with random values.
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/// </summary>
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/// <param name="order">The size of the vector.</param>
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/// <returns>A <c>UserDefinedVector</c> with the given dimension and random values.</returns>
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public static Vector GenerateRandomUserDefinedVector(int order)
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{
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// Fill a matrix with standard random numbers.
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var normal = new Normal
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{
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RandomSource = new MersenneTwister(1)
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};
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var v = new UserDefinedVector(order);
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for (var i = 0; i < order; i++)
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{
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v[i] = new Complex32((float) normal.Sample(), (float) normal.Sample());
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}
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// Generate a matrix which is positive definite.
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return v;
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}
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}
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}
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