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//static const char* sccsid = "@(#)math_SVD.cxx 3.2 95/01/10"; // Do not delete this line. Used by sccs.
//#ifndef DEB
#define No_Standard_RangeError
#define No_Standard_OutOfRange
#define No_Standard_DimensionError
//#endif
#include <math_SVD.ixx>
#include <math_Recipes.hxx>
#include <StdFail_NotDone.hxx>
#include <Standard_DimensionError.hxx>
#include <Standard_NotImplemented.hxx>
math_SVD::math_SVD (const math_Matrix& A) :
U (1, Max(A.RowNumber(),A.ColNumber()), 1, A.ColNumber()) ,
V (1, A.ColNumber(), 1, A.ColNumber()),
Diag (1, A.ColNumber())
{
U.Init(0.0);
RowA = A.RowNumber() ;
U.Set(1, A.RowNumber(), 1, A.ColNumber(), A) ;
Standard_Integer Error = SVD_Decompose(U, Diag, V) ;
Done = (!Error) ? Standard_True : Standard_False ;
}
void math_SVD::Solve (const math_Vector& B,
math_Vector& X,
const Standard_Real Eps) const
{
StdFail_NotDone_Raise_if(!Done, " ");
Standard_DimensionError_Raise_if((RowA != B.Length()) ||
(X.Length() != Diag.Length()), " ");
math_Vector BB (1, U.RowNumber()) ;
BB.Init(0.0);
BB.Set (1, B.Length(), B) ;
Standard_Real wmin = Eps * Diag(Diag.Max());
for (Standard_Integer I = 1; I <= Diag.Upper(); I++)
{
if (Diag(I) < wmin) Diag(I) = 0.0 ;
}
SVD_Solve (U, Diag, V, BB, X) ;
}
void math_SVD::PseudoInverse (math_Matrix& Result,
const Standard_Real Eps) const
{
Standard_Integer i, j ;
StdFail_NotDone_Raise_if(!Done, " ");
Standard_Real wmin = Eps * Diag(Diag.Max());
for (i=1; i<=Diag.Upper(); i++)
{
if (Diag(i) < wmin) Diag(i) = 0.0 ;
}
Standard_Integer ColA = Diag.Length () ;
math_Vector VNorme (1, U.RowNumber()) ;
math_Vector Column (1, ColA) ;
for (j=1; j<=RowA; j++)
{
for (i=1; i<=VNorme.Upper(); i++) VNorme(i) = 0.0 ;
VNorme(j) = 1.0 ;
SVD_Solve (U, Diag, V, VNorme, Column) ;
for (i=1; i<=ColA; i++) Result(i,j) = Column(i) ;
}
}
void math_SVD::Dump(Standard_OStream& o) const {
o << "math_SVD";
if(Done) {
o << " Status = Done \n";
}
else {
o << " Status = not Done \n";
}
}
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