/usr/include/linbox/algorithms/smith-form-local.h is in liblinbox-dev 1.3.2-1.1build2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 | /* linbox/algorithms/localsmith.h
* Copyright(C) LinBox
*
* Written by David Saunders
*
* ------------------------------------
*
*
* ========LICENCE========
* This file is part of the library LinBox.
*
* LinBox is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*.
*/
#ifndef __LINBOX_smith_form_local_H
#define __LINBOX_smith_form_local_H
#include <vector>
#include <list>
//#include <algorithm>
// #include "linbox/field/multimod-field.h"
#include "linbox/matrix/blas-matrix.h"
namespace LinBox
{
/**
\brief Smith normal form (invariant factors) of a matrix over a local ring.
The matrix must be a BlasMatrix over a LocalPID.
A localPID has the standard ring/field arithmetic functions plus gcdin().
*/
template <class LocalPID>
class SmithFormLocal{
public:
typedef typename LocalPID::Element Elt;
template<class Matrix>
std::list<Elt>& operator()(std::list<Elt>& L, Matrix& A, const LocalPID& R)
{
Elt d; R.init(d, 1);
return smithStep(L, d, A, R);
}
template<class Matrix>
std::list<Elt>& smithStep(std::list<Elt>& L, Elt& d, Matrix& A, const LocalPID& R)
{
//std::cout << "Dimension: " << A.rowdim() << " " << A.coldim() <<"\n";
if ( A.rowdim() == 0 || A.coldim() == 0 ) return L;
Elt g; R.init(g, 0);
typename Matrix::RowIterator p;
typename Matrix::Row::iterator q, r;
for ( p = A.rowBegin(); p != A.rowEnd(); ++p) {
for (q = p->begin(); q != p->end(); ++q) {
R.gcdin(g, *q);
if ( R.isUnit(g) ) {R.divin(g, g); break; }
}
if ( R.isUnit(g) ) break;
}
if ( R.isZero(g) ) {
L.insert(L.end(), (A.rowdim() < A.coldim()) ? A.rowdim() : A.coldim(), g);
return L;
}
if ( p != A.rowEnd() ) // g is a unit and,
// because this is a local ring, value at which this first happened
// also is a unit.
{
if ( p != A.rowBegin() )
swap_ranges(A.rowBegin()->begin(), A.rowBegin()->end(), p->begin());
if ( q != p->begin() )
swap_ranges(A.colBegin()->begin(), A.colBegin()->end(),
(A.colBegin() +(int) (q - p->begin()))->begin());
// eliminate step - crude and for dense only - fix later
// Want to use a block method or "left looking" elimination.
Elt f; R.inv(f, *(A.rowBegin()->begin() ) );
R.negin(f);
// normalize first row to -1, ...
for ( q = A.rowBegin()->begin() /*+ 1*/; q != A.rowBegin()->end(); ++q)
R.mulin(*q, f);
//
// eliminate in subsequent rows
for ( p = A.rowBegin() + 1; p != A.rowEnd(); ++p)
for ( q = p->begin() + 1, r = A.rowBegin()->begin() + 1, f = *(p -> begin()); q != p->end(); ++q, ++r )
R.axpyin( *q, f, *r );
BlasMatrix<LocalPID> Ap(A, 1, 1, A.rowdim() - 1, A.coldim() - 1);
L.push_back(d);
return smithStep(L, d, Ap, R);
}
else {
typename Matrix::Iterator p_it;
for (p_it = A.Begin(); p_it != A.End(); ++p_it)
R.divin(*p_it, g);
return smithStep(L, R.mulin(d, g), A, R);
}
}
}; // end SmithFormLocal
} // end LinBox
#include "linbox/algorithms/smith-form-local2.inl"
#endif // __LINBOX_smith_form_local_H
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