/usr/include/linbox/ring/modular/modular-balanced-double.h is in liblinbox-dev 1.4.2-5build1.
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* Copyright (C) 2003 Pascal Giorgi
* 2005,2008 Clement Pernet
* Written by Pascal Giorgi <pascal.giorgi@ens-lyon.fr>
* and Clement Pernet <Clement.Pernet@imag.fr>
*
* ------------------------------------
*
*
* ========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========
*.
*/
/*! @file field/modular/modular-balanced-double.h
* @ingroup field
* @brief Balanced representation of <code>Z/mZ</code> over \c double .
*/
#ifndef __LINBOX_modular_balanced_double_H
#define __LINBOX_modular_balanced_double_H
#ifdef __INTEL_COMPILER
#define FmodF fmodf
#else
#define FmodF fmod
#endif
#include "linbox/linbox-config.h"
#include "linbox/ring/modular.h"
#include "linbox/integer.h"
#include "linbox/vector/vector-domain.h"
#include "linbox/field/field-interface.h"
#include "linbox/field/field-traits.h"
#include "linbox/util/field-axpy.h"
#include "linbox/util/debug.h"
#include <cmath>
#include "linbox/field/field-traits.h"
#include "linbox/randiter/modular-balanced.h"
#include <givaro/modular-balanced-double.h>
// Namespace in which all LinBox code resides
namespace LinBox
{
class MultiModDouble;
//! Specialization of FieldAXPY.
template <>
class FieldAXPY<Givaro::ModularBalanced<double> > {
public:
typedef double Element;
typedef double Abnormal;
typedef Givaro::ModularBalanced<double> Field;
FieldAXPY (const Field &F) :
_field (&F),
_y(0.) , _bound( (double) ((1ULL << 53) - (unsigned long) (field().characteristic()*field().characteristic())))
{}
FieldAXPY (const FieldAXPY &faxpy) :
_field (faxpy._field),
_y(faxpy._y), _bound(faxpy._bound)
{}
FieldAXPY<Givaro::ModularBalanced<double> > &operator = (const FieldAXPY &faxpy)
{
_field = faxpy._field;
_y= faxpy._y;
_bound= faxpy._bound;
return *this;
}
inline Element& mulacc (const Element &a, const Element &x)
{
// Element tmp= a*x;
// return accumulate(tmp);
return accumulate(a*x);
}
inline Element& accumulate (const Element &tmp)
{
_y += tmp;
if (_y > _bound)
return _y = fmod (_y, field().characteristic());
else
return _y;
}
inline Element& subumulate (const Element &tmp)
{
_y -= tmp;
if (_y < 0)
return _y += field().characteristic();
else
return _y;
}
inline Element& get (Element &y) {
_y = fmod (_y, field().characteristic());
return y=_y ;
}
inline FieldAXPY &assign (const Element y) {
_y = y;
return *this;
}
inline void reset() {
_y = 0.;
}
inline Element& set (const Element &tmp) {
_y = tmp;
if (_y > _bound)
return _y = fmod (_y, field().characteristic());
else
return _y;
}
inline const Field & field() const { return *_field; }
private:
const Field *_field;
double _y;
double _bound;
};
//! Specialization of DotProductDomain.
template <>
class DotProductDomain<Givaro::ModularBalanced<double> > : public VectorDomainBase<Givaro::ModularBalanced<double> > {
private:
double _bound;
size_t _nmax;
public:
typedef double Element;
DotProductDomain(){}
DotProductDomain (const Givaro::ModularBalanced<double> &F) :
VectorDomainBase<Givaro::ModularBalanced<double> > (F), _bound( (double) ( (1ULL<<53) - (unsigned long) (field().characteristic()*field().characteristic())))
{
_nmax= (size_t)floor((double(1<<26)* double(1<<26)*2.)/ (field().characteristic() * field().characteristic()));
}
using VectorDomainBase<Givaro::ModularBalanced<double> >::field;
protected:
template <class Vector1, class Vector2>
inline Element &dotSpecializedDD (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
double y = 0.;
if (v1.size() < _nmax) {
for (size_t i = 0; i< v1.size();++i)
y += v1[i] * v2[i] ;
// y = fmod(y, field().characteristic());
field().init(res, y);
}
else{
size_t i=0;
double t = 0.;
for (;i< v1.size()- _nmax ;i=i+_nmax){
for (size_t j=i;j<i+_nmax;++j)
y += v1[j] * v2[j];
t+=fmod(y, field().characteristic());
y=0.;
}
for (;i < v1.size();++i)
y += v1[i] * v2[i];
t+=fmod(y, field().characteristic());
// y = fmod(t, field().characteristic());
field().init(res, t);
}
return res;
}
template <class Vector1, class Vector2>
inline Element &dotSpecializedDSP (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
double y = 0.;
if (v1.first.size() < _nmax) {
for (size_t i=0;i<v1.first.size();++i)
y+= v1.second[i] * v2[v1.first[i]];
// y = fmod(y, field().characteristic());
field().init(res, y);
}
else {
double t =0.;
size_t i=0;
for (;i< v1.first.size()- _nmax ;i=i+_nmax){
for (size_t j=i;j<i+_nmax;++j)
y += v1.second[j] * v2[v1.first[j]];
t+=fmod(y, field().characteristic());
y=0.;
}
for (;i < v1.first.size();++i)
y += v1.second[i] * v2[v1.first[i]];
t+= fmod(y, field().characteristic());
// y = fmod(t, field().characteristic());
field().init(res, t);
}
return res ;
}
};
}
#endif //__LINBOX_modular_balanced_double_H
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