private static void TestClear() { var zero = Matrix.CreateZero(LowerInvertible10by10.Order, LowerInvertible10by10.Order); var matrix = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); matrix.Clear(); comparer.AssertEqual(zero, matrix); }
private static void TestGetRow() { var matrix = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); for (int i = 0; i < LowerInvertible10by10.Order; ++i) { Vector rowExpected = DenseStrategies.GetRow(matrix, i); Vector rowComputed = matrix.GetRow(i); comparer.AssertEqual(rowExpected, rowComputed); } }
private static void TestGetColumn() { var matrix = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); for (int j = 0; j < LowerInvertible10by10.Order; ++j) { Vector colExpected = DenseStrategies.GetColumn(matrix, j); Vector colComputed = matrix.GetColumn(j); comparer.AssertEqual(colExpected, colComputed); } }
private static void TestArrayCopy() { // invertible var A1 = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); comparer.AssertEqual(LowerInvertible10by10.Matrix, A1.CopyToArray2D()); // singular var A2 = TriangularLower.CreateFromArray(LowerSingular10by10.Matrix); comparer.AssertEqual(LowerSingular10by10.Matrix, A2.CopyToArray2D()); }
private static void TestMatrixVectorMultiplicationIntoResult(LinearAlgebraProviderChoice providers) { // The result vectors will first be set to some non zero values to make sure that the result overwrites // them instead of being added to them. TestSettings.RunMultiproviderTest(providers, delegate() { var A = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); var x = Vector.CreateFromArray(LowerInvertible10by10.Lhs); var bExpected = Vector.CreateFromArray(LowerInvertible10by10.Rhs); Vector bComputed = Vector.CreateWithValue(A.NumRows, 1.0); A.MultiplyIntoResult(x, bComputed, false); comparer.AssertEqual(bExpected, bComputed); }); }
private static void TestTransposition() { // invertible var A1 = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); var A1TransposeExpected = MatrixOperations.Transpose(LowerInvertible10by10.Matrix); TriangularUpper A1TransposeComputed = A1.Transpose(false); comparer.AssertEqual(A1TransposeExpected, A1TransposeComputed.CopyToArray2D()); // singular var A2 = TriangularLower.CreateFromArray(LowerSingular10by10.Matrix); var A2TransposeExpected = MatrixOperations.Transpose(LowerSingular10by10.Matrix); TriangularUpper A2TransposeComputed = A2.Transpose(false); comparer.AssertEqual(A2TransposeExpected, A2TransposeComputed.CopyToArray2D()); }
private static void TestMatrixVectorMultiplication(LinearAlgebraProviderChoice providers) { TestSettings.RunMultiproviderTest(providers, delegate() { // invertible var A1 = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); var x1 = Vector.CreateFromArray(LowerInvertible10by10.Lhs); var b1Expected = Vector.CreateFromArray(LowerInvertible10by10.Rhs); Vector b1Computed = A1.Multiply(x1); comparer.AssertEqual(b1Expected, b1Computed); // singular var A2 = TriangularLower.CreateFromArray(LowerSingular10by10.Matrix); var x2 = Vector.CreateFromArray(LowerSingular10by10.Lhs); var b2Expected = Vector.CreateFromArray(LowerSingular10by10.Rhs); Vector b2Computed = A2.Multiply(x1); comparer.AssertEqual(b2Expected, b2Computed); }); }
private static void TestSystemSolution(LinearAlgebraProviderChoice providers) { TestSettings.RunMultiproviderTest(providers, delegate() { // invertible var A1 = TriangularLower.CreateFromArray(LowerInvertible10by10.Matrix); var b1 = Vector.CreateFromArray(LowerInvertible10by10.Rhs); var x1Expected = Vector.CreateFromArray(LowerInvertible10by10.Lhs); Vector x1Computed = A1.SolveLinearSystem(b1); comparer.AssertEqual(x1Expected, x1Computed); // singular var A2 = TriangularLower.CreateFromArray(LowerSingular10by10.Matrix); var b2 = Vector.CreateFromArray(LowerSingular10by10.Rhs); var x2Expected = Vector.CreateFromArray(LowerSingular10by10.Lhs); Vector x2Computed = A2.SolveLinearSystem(b2); Assert.False(comparer.AreEqual(x2Expected, x2Computed)); }); }