public void GetLeftColumnTest()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, TR5);
ComplexDoubleVector LC = cdl.GetLeftColumn();
Assert.IsTrue(LC5.Equals(LC));
}
public void MismatchVectorLengthTestsforConstructor1()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC2, TR3);
}
public void FirstElementTestforConstructor1()
{
ComplexDoubleVector cdv = new ComplexDoubleVector(3, Complex.One);
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC3, cdv);
}
public void NullParameterTestforConstructor2()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, null as ComplexDoubleVector);
}
public void ZeroLengthVectorTestsforConstructor1()
{
ComplexDoubleVector cdv = new ComplexDoubleVector(1);
cdv.RemoveAt(0);
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(cdv, cdv);
}
public void OrderPropertyTest()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, TR5);
Assert.IsTrue(cdl.Order == 5);
}
public void SingularityPropertyTest2()
{
ComplexDoubleVector LC = new ComplexDoubleVector(4);
LC[0] = new Complex(4.0);
LC[1] = new Complex(2.0);
LC[2] = new Complex(1.0);
LC[3] = new Complex(0.0);
ComplexDoubleVector TR = new ComplexDoubleVector(4);
TR[0] = new Complex(4.0);
TR[1] = new Complex(8.0);
TR[2] = new Complex(2.0);
TR[3] = new Complex(1.0);
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC,TR);
Assert.IsTrue(cdl.IsSingular);
}
public void MismatchRowsTestforSolveMatrix()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
ComplexDoubleMatrix X = cdl.Solve(I5);
}
public void SolveMatrix5()
{
int i, j;
double e, me;
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, TR5);
// check inverse
ComplexDoubleMatrix I = cdl.Solve(ComplexDoubleMatrix.CreateIdentity(5));
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
for (j = 0; j < cdl.Order; j++)
{
e = ComplexMath.Absolute((I5[i, j] - I[i, j]) / I5[i, j]);
if (e > me)
{
me = e;
}
}
}
Assert.IsTrue(me < Tolerance5, "Maximum Error = " + me.ToString());
}
public void SolveVector10()
{
int i;
double e, me;
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
ComplexDoubleVector X = cdl.Solve(Y10);
// determine the maximum error
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
e = ComplexMath.Absolute((X10[i] - X[i]) / X10[i]);
if (e > me)
{
me = e;
}
}
Assert.IsTrue(me < Tolerance10, "Maximum Error = " + me.ToString());
}
public void NullParameterTestforSolveMatrix()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
ComplexDoubleMatrix X = cdl.Solve(null as ComplexDoubleMatrix);
}
public void MismatchRowsTestforSolveVector()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
ComplexDoubleVector X = cdl.Solve(X5);
}
public void NullParameterTestforSolveVector()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
ComplexDoubleVector X = cdl.Solve(null as ComplexDoubleVector);
}
public void GetDeterminantMethodTest10()
{
// calculate determinant from diagonal
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
// check results match
Double e = ComplexMath.Absolute((cdl.GetDeterminant() - Det10)/Det10);
Assert.IsTrue(e < Tolerance10);
}
public void GetTopRowTest()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, TR5);
ComplexDoubleVector TR = cdl.GetTopRow();
Assert.IsTrue(TR5.Equals(TR));
}
public void GetInverse10()
{
int i, j;
double e, me;
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC10, TR10);
// check inverse
ComplexDoubleMatrix I = cdl.GetInverse();
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
for (j = 0; j < cdl.Order; j++)
{
e = ComplexMath.Absolute((I10[i, j] - I[i, j]) / I10[i, j]);
if (e > me)
{
me = e;
}
}
}
Assert.IsTrue(me < Tolerance10, "Maximum Error = " + me.ToString());
}
public void GetMatrixMemberTest()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC5, TR5);
ComplexDoubleMatrix cdldm = cdl.GetMatrix();
for (int row = 0; row < TR5.Length; row++)
{
for (int column = 0; column < TR5.Length; column++)
{
if (column < row)
{
Assert.IsTrue(cdldm[row, column] == LC5[row - column]);
}
else
{
Assert.IsTrue(cdldm[row, column] == TR5[column - row]);
}
}
}
}
public void NullParameterTestforConstructor1()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(null as ComplexDoubleVector, TR5);
}
public void DecompositionTest3()
{
int i, j;
double e, me;
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC3, TR3);
ComplexDoubleMatrix U = cdl.U;
ComplexDoubleMatrix D = cdl.D;
ComplexDoubleMatrix L = cdl.L;
// check the upper triangle
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
for (j = 0; j < cdl.Order; j++)
{
if (U3[i, j] != U[i, j])
{
e = ComplexMath.Absolute((U3[i, j] - U[i, j]) / U3[i, j]);
if (e > me)
{
me = e;
}
}
}
}
Assert.IsTrue(me < Tolerance3, "Maximum Error = " + me.ToString());
// check the lower triangle
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
for (j = 0; j < cdl.Order; j++)
{
if (L3[i, j] != L[i, j])
{
e = ComplexMath.Absolute((L3[i, j] - L[i, j]) / L3[i, j]);
if (e > me)
{
me = e;
}
}
}
}
Assert.IsTrue(me < Tolerance3, "Maximum Error = " + me.ToString());
// check the diagonal
me = 0.0;
for (i = 0; i < cdl.Order; i++)
{
e = ComplexMath.Absolute((D3[i] - D[i, i]) / D3[i]);
if (e > me)
{
me = e;
}
}
Assert.IsTrue(me < Tolerance3, "Maximum Error = " + me.ToString());
}
public void SingularityPropertyTest1()
{
ComplexDoubleLevinson cdl = new ComplexDoubleLevinson(LC4,TR4);
Assert.IsFalse(cdl.IsSingular);
}