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/*
* Matrix<CoeffT> class template
*
* Authors:
* Marco Cecchetti <mrcekets at gmail.com>
*
* Copyright 2008 authors
*
* This library is free software; you can redistribute it and/or
* modify it either under the terms of the GNU Lesser General Public
* License version 2.1 as published by the Free Software Foundation
* (the "LGPL") or, at your option, under the terms of the Mozilla
* Public License Version 1.1 (the "MPL"). If you do not alter this
* notice, a recipient may use your version of this file under either
* the MPL or the LGPL.
*
* You should have received a copy of the LGPL along with this library
* in the file COPYING-LGPL-2.1; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
* You should have received a copy of the MPL along with this library
* in the file COPYING-MPL-1.1
*
* The contents of this file are subject to the Mozilla Public License
* Version 1.1 (the "License"); you may not use this file except in
* compliance with the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
* OF ANY KIND, either express or implied. See the LGPL or the MPL for
* the specific language governing rights and limitations.
*
*/
#ifndef _GEOM_SL_MATRIX_H_
#define _GEOM_SL_MATRIX_H_
#include <array>
#include <vector>
#include <map>
#include <2geom/point.h>
#include <2geom/numeric/matrix.h>
#include <2geom/symbolic/multipoly.h>
namespace Geom { namespace SL {
/*
* generic Matrix class template
* needed for building up a matrix with polynomial entries
*/
template< typename Coeff>
class Matrix
{
public:
typedef Coeff coeff_type;
typedef std::vector<coeff_type> container_type;
Matrix()
{}
Matrix(size_t m, size_t n)
: m_data(m*n), m_rows(m), m_columns(n)
{
}
void resize(size_t m, size_t n)
{
m_data.resize(m,n);
m_rows = m;
m_columns = n;
}
size_t rows() const
{
return m_rows;
}
size_t columns() const
{
return m_columns;
}
coeff_type const& operator() (size_t i, size_t j) const
{
return m_data[i * columns() + j];
}
coeff_type & operator() (size_t i, size_t j)
{
return m_data[i * columns() + j];
}
private:
container_type m_data;
size_t m_rows;
size_t m_columns;
};
template< typename Coeff, typename charT >
inline
std::basic_ostream<charT> &
operator<< ( std::basic_ostream<charT> & os,
const Matrix<Coeff> & _matrix )
{
if (_matrix.rows() == 0 || _matrix.columns() == 0) return os;
os << "{{" << _matrix(0,0);
for (size_t j = 1; j < _matrix.columns(); ++j)
{
os << ", " << _matrix(0,j);
}
os << "}";
for (size_t i = 1; i < _matrix.rows(); ++i)
{
os << ", {" << _matrix(i,0);
for (size_t j = 1; j < _matrix.columns(); ++j)
{
os << ", " << _matrix(i,j);
}
os << "}";
}
os << "}";
return os;
}
template <size_t N, typename CoeffT, typename T>
void polynomial_matrix_evaluate (Matrix<T> & A,
Matrix< MultiPoly<N, CoeffT> > const& M,
std::array<T, N> const& X)
{
A.resize(M.rows(), M.columns());
for (size_t i = 0; i < M.rows(); ++i)
{
for (size_t j = 0; j < M.columns(); ++j)
{
A(i,j) = M(i,j)(X);
}
}
}
inline
void polynomial_matrix_evaluate (NL::Matrix & A,
Matrix< MultiPoly<2, double> > const& M,
Point const& P)
{
for (size_t i = 0; i < M.rows(); ++i)
{
for (size_t j = 0; j < M.columns(); ++j)
{
A(i,j) = M(i,j)(P[X], P[Y]);
}
}
}
/*
template< typename Coeff>
class SymmetricSquareMatrix
{
public:
typedef Coeff coeff_type;
typedef std::vector<coeff_type> container_type;
SymmetricSquareMatrix(size_t n)
: m_data((n*n)/2 + n), m_size(n)
{
}
size_t rows() const
{
return m_size;
}
size_t columns() const
{
return m_size;
}
coeff_type const& operator() (size_t i, size_t j) const
{
return m_data[i * columns() + j];
}
coeff_type & operator() (size_t i, size_t j)
{
return m_data[i * columns() + j];
}
coeff_type det()
{
}
private:
container_type m_data;
size_t m_size;
};
*/
/*
* This is an adaptation of the LU algorithm used in the numerical case.
* This algorithm is based on the article due to Bareiss:
* "Sylvester's identity and multistep integer-preserving Gaussian elimination"
*/
/*
template< typename CoeffT >
CoeffT det(Matrix<CoeffT> const& M)
{
assert(M.rows() == M.columns());
Matrix<CoeffT> A(M);
CoeffT n;
CoeffT d = one<CoeffT>()();
for (size_t k = 1; k < A.rows(); ++k)
{
for (size_t i = k; i < A.rows(); ++i)
{
for (size_t j = k; j < A.columns(); ++j)
{
n = A(i,j) * A(k-1,k-1) - A(k-1,j) * A(i,k-1);
// std::cout << "k, i, j: "
// << k << ", " << i << ", " << j << std::endl;
// std::cout << "n = " << n << std::endl;
// std::cout << "d = " << d << std::endl;
A(i,j) = factor(n, d);
}
}
d = A(k-1,k-1);
}
return A(A.rows()-1, A.columns()-1);
}
*/
} /*end namespace Geom*/ } /*end namespace SL*/
#include <2geom/symbolic/determinant-minor.h>
#endif // _GEOM_SL_MATRIX_H_
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :
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