public static void ConstructionTest() { TestUtils.AddTestStartingMessage("MathematicaMatrix Creation Test Started."); var scalarsArray = new MathematicaScalar[2, 2]; scalarsArray[0, 0] = MathematicaScalar.Create(Cas, 2); scalarsArray[0, 1] = MathematicaScalar.Create(Cas, -2); scalarsArray[1, 0] = MathematicaScalar.Create(Cas, 3); scalarsArray[1, 1] = MathematicaScalar.Create(Cas, 1); var s = MathematicaMatrix.CreateFullMatrix(Cas, scalarsArray); TestUtils.AddTest("Try create full matrix from array of scalars ... ", s); s = MathematicaMatrix.CreateIdentity(Cas, 3); TestUtils.AddTest("Try create full 3x3 identity matrix ... ", s); s = MathematicaMatrix.CreateIdentity(Cas, 3, false); TestUtils.AddTest("Try create sparse 3x3 identity matrix ... ", s); var v = MathematicaVector.CreateFullVector(Cas, Cas.Constants.Zero, Cas.Constants.TwoPi, Cas.Constants.One); s = MathematicaMatrix.CreateDiagonal(v); TestUtils.AddTest("Try create full 3x3 diagonal matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateDiagonal(v, false); TestUtils.AddTest("Try create sparse 3x3 diagonal matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateRowVector(v); TestUtils.AddTest("Try create full row vector matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateRowVector(v, false); TestUtils.AddTest("Try create sparse row vector matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateColumnVector(v); TestUtils.AddTest("Try create full row vector matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateColumnVector(v, false); TestUtils.AddTest("Try create sparse row vector matrix from vector {0, 2 Pi, 1} ... ", s); s = MathematicaMatrix.CreateConstant(Cas.Constants.Pi, 2, 3); TestUtils.AddTest("Try create 2x3 matrix with constant elements of Pi ... ", s); s = MathematicaMatrix.Create(Cas, @"{{1, x}, {2, y}, {3, z}}"); TestUtils.AddTest("Try create matrix from expression text \"{{1, x}, {2, y}, {3, z}}\" ... ", s); TestUtils.AddTestCompletionMessage("MathematicaMatrix Creation Test Completed."); }
public static void IsOpsTest() { TestUtils.AddTestStartingMessage("MathematicaMatrix 'Is' Operations Test Started."); var m1 = MathematicaMatrix.CreateFullDiagonalMatrix(Cas, Cas.Constants.Zero, Cas.Constants.One, Cas.Constants.TwoPi); TestUtils.AddTest("Try apply IsZero() to full diagonal matrix {0, 1, 2 Pi} ... ", m1.IsZero()); var sm1 = m1.ToMathematicaSparseMatrix(); TestUtils.AddTest("Try apply IsZero() to sparse diagonal matrix {0, 1, 2 Pi} ... ", sm1.IsZero()); m1 = MathematicaMatrix.CreateFullDiagonalMatrix(Cas, Cas.Constants.Zero, Cas.Constants.Zero, Cas.Constants.Zero); TestUtils.AddTest("Try apply IsZero() to full diagonal matrix {0, 0, 0} ... ", m1.IsZero()); sm1 = m1.ToMathematicaSparseMatrix(); TestUtils.AddTest("Try apply IsZero() to sparse diagonal matrix {0, 0, 0} ... ", sm1.IsZero()); m1 = MathematicaMatrix.CreateFullDiagonalMatrix(Cas, Cas.Constants.Zero, Cas.Constants.One, Cas.Constants.TwoPi); TestUtils.AddTest("Try apply IsIdentity() to full diagonal matrix {0, 1, 2 Pi} ... ", m1.IsIdentity()); sm1 = m1.ToMathematicaSparseMatrix(); TestUtils.AddTest("Try apply IsIdentity() to sparse diagonal matrix {0, 1, 2 Pi} ... ", sm1.IsIdentity()); m1 = MathematicaMatrix.CreateIdentity(Cas, 4); TestUtils.AddTest("Try apply IsIdentity() to full 4x4 Identity matrix ... ", m1.IsIdentity()); sm1 = m1.ToMathematicaSparseMatrix(); TestUtils.AddTest("Try apply IsIdentity() to sparse 4x4 Identity matrix ... ", sm1.IsIdentity()); m1 = MathematicaMatrix.CreateFullDiagonalMatrix(Cas, Cas.Constants.Zero, Cas.Constants.One, Cas.Constants.TwoPi); TestUtils.AddTest("Try apply IsDiagonal() to full diagonal matrix {0, 1, 2 Pi} ... ", m1.IsDiagonal()); sm1 = m1.ToMathematicaSparseMatrix(); TestUtils.AddTest("Try apply IsDiagonal() to sparse diagonal matrix {0, 1, 2 Pi} ... ", sm1.IsDiagonal()); m1 = MathematicaMatrix.CreateConstant(Cas.Constants.Pi, 5, 5); TestUtils.AddTest("Try apply IsDiagonal() to full 5x5 matrix with non-zero elements ... ", m1.IsDiagonal()); sm1 = MathematicaMatrix.Create(Cas, "SparseArray[RandomInteger[1, {5, 5}]]"); TestUtils.AddTest("Try apply IsDiagonal() to sparse 5x5 matrix " + sm1.ToMathematicaFullMatrix().ExpressionText + " ... ", sm1.IsDiagonal()); m1 = MathematicaMatrix.Create(Cas, "RandomInteger[3, {5, 5}]"); m1 = m1 * m1.Transpose().ToMathematicaMatrix(); TestUtils.AddTest("Try apply IsSymmetric() to full 5x5 symmetric matrix " + m1.ExpressionText + " ... ", m1.IsSymmetric()); TestUtils.AddTest("Try apply IsSymmetric() to sparse 5x5 matrix " + sm1.ToMathematicaFullMatrix().ExpressionText + " ... ", sm1.IsSymmetric()); m1 = MathematicaMatrix.Create(Cas, "RandomInteger[{-10, 10}, {5, 5}]"); TestUtils.AddTest("Try apply IsInvertable() to full 5x5 matrix " + m1.ExpressionText + " ... ", m1.IsInvertable()); sm1 = MathematicaMatrix.Create(Cas, "SparseArray[RandomInteger[1, {5, 5}]]"); TestUtils.AddTest("Try apply IsInvertable() to sparse 5x5 matrix " + sm1.ToMathematicaFullMatrix().ExpressionText + " ... ", sm1.IsInvertable()); m1 = MathematicaMatrix.Create(Cas, "RandomInteger[3, {5, 5}]"); m1 = m1 * m1.Transpose().ToMathematicaMatrix(); TestUtils.AddTest("Try apply IsOrthogonal() to full 5x5 symmetric matrix " + m1.ExpressionText + " ... ", m1.IsOrthogonal()); TestUtils.AddTest("Try apply IsOrthogonal() to sparse 5x5 matrix " + sm1.ToMathematicaFullMatrix().ExpressionText + " ... ", sm1.IsOrthogonal()); m1 = MathematicaMatrix.Create(Cas, Cas[Mfs.Orthogonalize[m1.Expression]]); TestUtils.AddTest("Try apply IsOrthogonal() to full 5x5 symmetric matrix " + m1.ExpressionText + " ... ", m1.IsOrthogonal()); sm1 = MathematicaMatrix.Create(Cas, Cas[Mfs.SparseArray[Mfs.Orthogonalize[sm1.Expression]]]); TestUtils.AddTest("Try apply IsOrthogonal() to sparse 5x5 matrix " + sm1.ToMathematicaFullMatrix().ExpressionText + " ... ", sm1.IsOrthogonal()); TestUtils.AddTestCompletionMessage("MathematicaMatrix 'Is' Operations Test Completed."); }