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/**
* $Id$
* ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version. The Blender
* Foundation also sells licenses for use in proprietary software under
* the Blender License. See http://www.blender.org/BL/ for information
* about this.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): none yet.
*
* ***** END GPL/BL DUAL LICENSE BLOCK *****
*/
/*
*
* Template Numerical Toolkit (TNT): Linear Algebra Module
*
* Mathematical and Computational Sciences Division
* National Institute of Technology,
* Gaithersburg, MD USA
*
*
* This software was developed at the National Institute of Standards and
* Technology (NIST) by employees of the Federal Government in the course
* of their official duties. Pursuant to title 17 Section 105 of the
* United States Code, this software is not subject to copyright protection
* and is in the public domain. The Template Numerical Toolkit (TNT) is
* an experimental system. NIST assumes no responsibility whatsoever for
* its use by other parties, and makes no guarantees, expressed or implied,
* about its quality, reliability, or any other characteristic.
*
* BETA VERSION INCOMPLETE AND SUBJECT TO CHANGE
* see http://math.nist.gov/tnt for latest updates.
*
*/
// Matrix Transpose Views
#ifndef TRANSV_H
#define TRANSV_H
#include <iostream>
#include <cassert>
#include "vec.h"
namespace TNT
{
template <class Array2D>
class Transpose_View
{
protected:
const Array2D & A_;
public:
typedef typename Array2D::element_type T;
typedef T value_type;
typedef T element_type;
typedef T* pointer;
typedef T* iterator;
typedef T& reference;
typedef const T* const_iterator;
typedef const T& const_reference;
const Array2D & array() const { return A_; }
Subscript num_rows() const { return A_.num_cols();}
Subscript num_cols() const { return A_.num_rows();}
Subscript lbound() const { return A_.lbound(); }
Subscript dim(Subscript i) const
{
#ifdef TNT_BOUNDS_CHECK
assert( A_.lbound() <= i);
assert( i<= A_.lbound()+1);
#endif
if (i== A_.lbound())
return num_rows();
else
return num_cols();
}
Transpose_View(const Transpose_View<Array2D> &A) : A_(A.A_) {};
Transpose_View(const Array2D &A) : A_(A) {};
inline const typename Array2D::element_type & operator()(
Subscript i, Subscript j) const
{
#ifdef TNT_BOUNDS_CHECK
assert(lbound()<=i);
assert(i<=A_.num_cols() + lbound() - 1);
assert(lbound()<=j);
assert(j<=A_.num_rows() + lbound() - 1);
#endif
return A_(j,i);
}
};
template <class Matrix>
Transpose_View<Matrix> Transpose_view(const Matrix &A)
{
return Transpose_View<Matrix>(A);
}
template <class Matrix, class T>
Vector<T> matmult(
const Transpose_View<Matrix> & A,
const Vector<T> &B)
{
Subscript M = A.num_rows();
Subscript N = A.num_cols();
assert(B.dim() == N);
Vector<T> x(N);
Subscript i, j;
T tmp = 0;
for (i=1; i<=M; i++)
{
tmp = 0;
for (j=1; j<=N; j++)
tmp += A(i,j) * B(j);
x(i) = tmp;
}
return x;
}
template <class Matrix, class T>
inline Vector<T> operator*(const Transpose_View<Matrix> & A, const Vector<T> &B)
{
return matmult(A,B);
}
template <class Matrix>
std::ostream& operator<<(std::ostream &s, const Transpose_View<Matrix> &A)
{
Subscript M=A.num_rows();
Subscript N=A.num_cols();
Subscript start = A.lbound();
Subscript Mend = M + A.lbound() - 1;
Subscript Nend = N + A.lbound() - 1;
s << M << " " << N << endl;
for (Subscript i=start; i<=Mend; i++)
{
for (Subscript j=start; j<=Nend; j++)
{
s << A(i,j) << " ";
}
s << endl;
}
return s;
}
} // namespace TNT
#endif
// TRANSV_H
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