/usr/include/oce/math_SVD.hxx is in liboce-foundation-dev 0.17.1-1.
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// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _math_SVD_HeaderFile
#define _math_SVD_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <Standard_Boolean.hxx>
#include <math_Matrix.hxx>
#include <math_Vector.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Real.hxx>
#include <Standard_OStream.hxx>
class StdFail_NotDone;
class Standard_DimensionError;
class math_Matrix;
//! SVD implements the solution of a set of N linear equations
//! of M unknowns without condition on N or M. The Singular
//! Value Decomposition algorithm is used. For singular or
//! nearly singular matrices SVD is a better choice than Gauss
//! or GaussLeastSquare.
class math_SVD
{
public:
DEFINE_STANDARD_ALLOC
//! Given as input an n X m matrix A with n < m, n = m or n > m
//! this constructor performs the Singular Value Decomposition.
Standard_EXPORT math_SVD(const math_Matrix& A);
//! Returns true if the computations are successful, otherwise returns false.
Standard_Boolean IsDone() const;
//! Given the input Vector B this routine solves the set of linear
//! equations A . X = B.
//! Exception NotDone is raised if the decomposition of A was not done
//! successfully.
//! Exception DimensionError is raised if the range of B is not
//! equal to the rowrange of A.
//! Exception DimensionError is raised if the range of X is not
//! equal to the colrange of A.
Standard_EXPORT void Solve (const math_Vector& B, math_Vector& X, const Standard_Real Eps = 1.0e-6) const;
//! Computes the inverse Inv of matrix A such as A * Inverse = Identity.
//! Exceptions
//! StdFail_NotDone if the algorithm fails (and IsDone returns false).
//! Standard_DimensionError if the ranges of Inv are
//! compatible with the ranges of A.
Standard_EXPORT void PseudoInverse (math_Matrix& Inv, const Standard_Real Eps = 1.0e-6) const;
//! Prints information on the current state of the object.
//! Is used to redefine the operator <<.
Standard_EXPORT void Dump (Standard_OStream& o) const;
protected:
private:
Standard_Boolean Done;
math_Matrix U;
math_Matrix V;
math_Vector Diag;
Standard_Integer RowA;
};
#include <math_SVD.lxx>
#endif // _math_SVD_HeaderFile
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