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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.3 (2014/07/02)
#include "Wm5MathematicsPCH.h"
#include "Wm5SingularValueDecomposition.h"
#include "Wm5SingularValueDecompositionGTE.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
SingularValueDecomposition<Real>::SingularValueDecomposition (
const GMatrix<Real>& M, GMatrix<Real>& L, GMatrix<Real>& D,
GMatrix<Real>& RTranspose)
{
int numRows = M.GetNumRows();
int numCols = M.GetNumColumns();
assertion(numRows >= numCols, "Invalid inputs\n");
unsigned int maxIterations = 4096;
SingularValueDecompositionGTE<Real> svd(numRows, numCols, maxIterations);
svd.Solve(M.GetElements(), -1); // Sort from largest to smallest.
// SetSize zeros out the elements.
L.SetSize(numRows, numRows);
D.SetSize(numRows, numCols);
GMatrix<Real> R(numCols, numCols);
std::vector<Real> singularValues(numCols);
svd.GetSingularValues(&singularValues[0]);
for (int i = 0; i < numCols; ++i)
{
D(i, i) = singularValues[i];
}
svd.GetU(L.GetElements());
svd.GetV(R.GetElements());
RTranspose = R.Transpose();
}
//----------------------------------------------------------------------------
template <typename Real>
SingularValueDecomposition<Real>::~SingularValueDecomposition ()
{
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class SingularValueDecomposition<float>;
template WM5_MATHEMATICS_ITEM
class SingularValueDecomposition<double>;
//----------------------------------------------------------------------------
}
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