inline void
Trmv
( UpperOrLower uplo, Orientation orientation, UnitOrNonUnit diag,
const Matrix<T>& A, Matrix<T>& x )
{
#ifndef RELEASE
PushCallStack("Trmv");
if( x.Height() != 1 && x.Width() != 1 )
throw std::logic_error("x must be a vector");
if( A.Height() != A.Width() )
throw std::logic_error("A must be square");
const int xLength = ( x.Width()==1 ? x.Height() : x.Width() );
if( xLength != A.Height() )
throw std::logic_error("x must conform with A");
#endif
const char uploChar = UpperOrLowerToChar( uplo );
const char transChar = OrientationToChar( orientation );
const char diagChar = UnitOrNonUnitToChar( diag );
const int m = A.Height();
const int incx = ( x.Width()==1 ? 1 : x.LDim() );
blas::Trmv
( uploChar, transChar, diagChar, m,
A.LockedBuffer(), A.LDim(), x.Buffer(), incx );
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
Trmm
( LeftOrRight side, UpperOrLower uplo,
Orientation orientation, UnitOrNonUnit diag,
T alpha, const Matrix<T>& A, Matrix<T>& B )
{
#ifndef RELEASE
CallStackEntry entry("Trmm");
if( A.Height() != A.Width() )
LogicError("Triangular matrix must be square");
if( side == LEFT )
{
if( A.Height() != B.Height() )
LogicError("Nonconformal Trmm");
}
else
{
if( A.Height() != B.Width() )
LogicError("Nonconformal Trmm");
}
#endif
const char sideChar = LeftOrRightToChar( side );
const char uploChar = UpperOrLowerToChar( uplo );
const char transChar = OrientationToChar( orientation );
const char diagChar = UnitOrNonUnitToChar( diag );
blas::Trmm
( sideChar, uploChar, transChar, diagChar, B.Height(), B.Width(),
alpha, A.LockedBuffer(), A.LDim(), B.Buffer(), B.LDim() );
}
inline void
TriangularInverse
( UpperOrLower uplo, UnitOrNonUnit diag, Matrix<F>& A )
{
#ifndef RELEASE
PushCallStack("TriangularInverse");
if( A.Height() != A.Width() )
throw std::logic_error("A must be square");
#endif
const char uploChar = UpperOrLowerToChar( uplo );
const char diagChar = UnitOrNonUnitToChar( diag );
lapack::TriangularInverse
( uploChar, diagChar, A.Height(), A.Buffer(), A.LDim() );
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
Trsm
( LeftOrRight side, UpperOrLower uplo,
Orientation orientation, UnitOrNonUnit diag,
F alpha, const Matrix<F>& A, Matrix<F>& B,
bool checkIfSingular )
{
#ifndef RELEASE
PushCallStack("Trsm");
if( A.Height() != A.Width() )
throw std::logic_error("Triangular matrix must be square");
if( side == LEFT )
{
if( A.Height() != B.Height() )
throw std::logic_error("Nonconformal Trsm");
}
else
{
if( A.Height() != B.Width() )
throw std::logic_error("Nonconformal Trsm");
}
#endif
const char sideChar = LeftOrRightToChar( side );
const char uploChar = UpperOrLowerToChar( uplo );
const char transChar = OrientationToChar( orientation );
const char diagChar = UnitOrNonUnitToChar( diag );
if( checkIfSingular && diag != UNIT )
{
const int n = A.Height();
for( int j=0; j<n; ++j )
if( A.Get(j,j) == F(0) )
throw SingularMatrixException();
}
blas::Trsm
( sideChar, uploChar, transChar, diagChar, B.Height(), B.Width(),
alpha, A.LockedBuffer(), A.LDim(), B.Buffer(), B.LDim() );
#ifndef RELEASE
PopCallStack();
#endif
}