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.");
}