/// <summary>Initializes this Metric object from metric matrix (called by constructor) </summary>
/// <param name="m">The NxN metric matrix</param>
private void init(DotNetMatrix.GeneralMatrix m)
{
if (!Util.IsSymmetric(m))
{
throw new Exception("The metric matrix must be symmetric");
}
m_matrix = m.Copy();
// System.Console.WriteLine("m_matrix: " + Util.ToString(m_matrix));
// compute eigen value decomposition
m_eig = new DotNetMatrix.EigenvalueDecomposition(m_matrix);
// System.Console.WriteLine("m_eig: " + Util.ToString(m_eig.GetV()));
m_invEigMatrix = m_eig.GetV().Transpose();
m_eigenMetric = m_eig.RealEigenvalues;
// {
// DotNetMatrix.GeneralMatrix D = Util.Diagonal(m_eigenMetric);
// DotNetMatrix.GeneralMatrix tmp = m_eig.GetV().Multiply(D).Multiply(m_invEigMatrix);
// System.Console.WriteLine("input_matrix = " + Util.ToString(tmp));
// }
m_isDiagonal = Util.IsDiagonal(m_matrix);
if (!m_isDiagonal)
{
m_isEuclidean = m_isAntiEuclidean = false;
}
else
{
m_isEuclidean = m_isAntiEuclidean = true;
for (int i = 0; i < m.RowDimension; i++)
{
if (m_matrix.GetElement(i, i) != 1.0)
{
m_isEuclidean = false;
}
if (m_matrix.GetElement(i, i) != -1.0)
{
m_isAntiEuclidean = false;
}
}
}
}
private void UseGeneralMatrix(out Matrix eigenvals, out Matrix eigenvecs)
{
if (AllElementsReal == false)
throw new Exception("All matrix elements must be real to diagonalize.");
double[][] eles = new double[Rows][];
for (int i = 0; i < Rows; i++)
eles[i] = new double[Columns];
for (int i = 0; i < Rows; i++)
{
for (int j = 0; j < Columns; j++)
{
eles[i][j] = this[i, j].RealPart;
}
}
GeneralMatrix matrix = new GeneralMatrix(eles);
EigenvalueDecomposition evs = new EigenvalueDecomposition(matrix);
GeneralMatrix vectors = evs.GetV();
eigenvecs = new Matrix(Rows, Columns);
for (int i = 0; i < Rows; i++)
{
for (int j = 0; j < Columns; j++)
{
eigenvecs[i, j] = vectors.GetElement(i, j);
}
}
double[] values = evs.RealEigenvalues;
double[] valimag = evs.ImagEigenvalues;
eigenvals = new Matrix(Rows, 1);
for (int i = 0; i < Rows; i++)
{
eigenvals[i, 0] = new Complex(values[i], valimag[i]);
}
}
/// <summary>Initializes this Metric object from metric matrix (called by constructor) </summary>
/// <param name="m">The NxN metric matrix</param>
private void init(DotNetMatrix.GeneralMatrix m)
{
if (!Util.IsSymmetric(m))
throw new Exception("The metric matrix must be symmetric");
m_matrix = m.Copy();
// System.Console.WriteLine("m_matrix: " + Util.ToString(m_matrix));
// compute eigen value decomposition
m_eig = new DotNetMatrix.EigenvalueDecomposition(m_matrix);
// System.Console.WriteLine("m_eig: " + Util.ToString(m_eig.GetV()));
m_invEigMatrix = m_eig.GetV().Transpose();
m_eigenMetric = m_eig.RealEigenvalues;
// {
// DotNetMatrix.GeneralMatrix D = Util.Diagonal(m_eigenMetric);
// DotNetMatrix.GeneralMatrix tmp = m_eig.GetV().Multiply(D).Multiply(m_invEigMatrix);
// System.Console.WriteLine("input_matrix = " + Util.ToString(tmp));
// }
m_isDiagonal = Util.IsDiagonal(m_matrix);
if (!m_isDiagonal)
{
m_isEuclidean = m_isAntiEuclidean = false;
}
else
{
m_isEuclidean = m_isAntiEuclidean = true;
for (int i = 0; i < m.RowDimension; i++)
{
if (m_matrix.GetElement(i, i) != 1.0)
m_isEuclidean = false;
if (m_matrix.GetElement(i, i) != -1.0)
m_isAntiEuclidean = false;
}
}
}
