/usr/include/linbox/field/Modular/modular-balanced-float.h is in liblinbox-dev 1.3.2-1.1build2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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* Copyright (C) 2003 Pascal Giorgi
* 2005,2008 Clement Pernet
* Written by Clement Pernet <clement.pernet@gmail.com>
* Pascal Giorgi <pascal.giorgi@ens-lyon.fr>
* Modified Brice Boyer <bboyer@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-float.h
* @ingroup field
* @brief Balanced representation of <code>Z/mZ</code> over \c float .
*/
#ifndef __LINBOX_modular_balanced_float_H
#define __LINBOX_modular_balanced_float_H
#ifdef __INTEL_COMPILER
#define FmodF fmodf
#else
#define FmodF fmod
#endif
#include "linbox/linbox-config.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 <math.h>
#include "linbox/field/field-traits.h"
#include "linbox/randiter/modular-balanced.h"
#include "linbox/randiter/nonzero.h"
#include <fflas-ffpack/field/modular-balanced-float.h>
// Namespace in which all LinBox code resides
namespace LinBox
{
template< class Element >
class ModularBalanced;
template <class Ring>
struct ClassifyRing;
template <class Element>
struct ClassifyRing<ModularBalanced<Element> >;
template <>
struct ClassifyRing<ModularBalanced<float> > {
typedef RingCategories::ModularTag categoryTag;
};
class MultiModFloat;
/// \ingroup field
template <>
class ModularBalanced<float> : public FieldInterface,
public FFPACK::ModularBalanced<float> {
public :
typedef float Element;
typedef FFPACK::ModularBalanced<float> Father_t ;
friend class FieldAXPY<ModularBalanced<Element> >;
friend class DotProductDomain<ModularBalanced<Element> >;
friend class MultiModFloat;
typedef ModularBalancedRandIter<Element> RandIter;
static ClassifyRing <ModularBalanced<Element> >::categoryTag
getCategory()
{
return ClassifyRing<ModularBalanced<Element> >::categoryTag();
}
ModularBalanced (const integer& p, int e = 1) :
Father_t((unsigned long)p)
{
#ifdef DEBUG
if(modulus <= 1)
throw PreconditionFailed(__func__,__FILE__,__LINE__,"modulus must be > 1");
if(modulus > getMaxModulus())
throw PreconditionFailed(__func__,__FILE__,__LINE__,"modulus is too big");
// check integer not too big.
#endif
}
using Father_t::cardinality ;
inline integer &cardinality (integer &c) const
{
return c = integer(modulus);
}
using Father_t::characteristic ;
inline integer &characteristic (integer &c) const
{
return c = integer(modulus);
}
using Father_t::convert ;
inline integer &convert (integer &x, const Element &y) const
{
// if ( y < 0. )
// return x = integer (y + modulus) ;
// else
return x = integer (y);
}
using Father_t::init ;
inline Element &init (Element &x, const integer &y) const
{
x = (Element)(y%lmodulus);
if (x > half_mod) return x -= modulus;
else if (x < mhalf_mod) return x += modulus;
return x;
}
Element &init(Element &x) const
{
return x = 0 ;
}
inline bool isMinusOne (const Element &x) const
{
return (x == -1.);
}
unsigned long AccBound(const Element&r) const
{
// Element one, zero ; init(one,1UL) ; init(zero,0UL);
double max_double = (double) (1ULL<<FLT_MANT_DIG) - modulus ;
double p = std::max(half_mod,-mhalf_mod) ;
if (areEqual(zero,r))
return (unsigned long) (double(max_double)/p) ;
else if (areEqual(one,r))
{
if (modulus>= getMaxModulus())
return 0 ;
else
return (unsigned long) (double(max_double)/(p*p)) ;
}
else
throw LinboxError("Bad input, expecting 0 or 1");
return 0;
}
};
template <>
class FieldAXPY<ModularBalanced<float> > {
public:
typedef float Element;
typedef ModularBalanced<Element> Field;
FieldAXPY (const Field &F) :
_field (F),
_y(0.) , _bound( (Element) (((1ULL << 24) - (int) (_field.modulus*_field.modulus))))
{}
FieldAXPY (const FieldAXPY &faxpy) :
_field (faxpy._field),
_y(faxpy._y), _bound(faxpy._bound)
{}
FieldAXPY<ModularBalanced<Element> > &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 = fmodf (_y, _field.modulus);
else
return _y;
}
inline Element& subumulate (const Element &tmp) {
_y -= tmp;
if (_y < 0)
return _y += _field.modulus;
else
return _y;
}
inline Element& get (Element &y) {
_y = fmodf (_y, _field.modulus);
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 = fmodf (_y, _field.modulus);
else
return _y;
}
private:
Field _field;
Element _y;
Element _bound;
};
template <>
class DotProductDomain<ModularBalanced<float> > : private virtual VectorDomainBase<ModularBalanced<float> > {
public:
typedef float Element;
DotProductDomain (const ModularBalanced<Element> &F) :
VectorDomainBase<ModularBalanced<Element> > (F), _bound( (Element) ( (1ULL<<24) - (int) (_field.modulus*_field.modulus)))
{
_nmax= (size_t)floor((Element(1<<11)* Element(1<<11)*2.)/ (_field.modulus * _field.modulus));
}
protected:
template <class Vector1, class Vector2>
inline Element &dotSpecializedDD (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
Element y = 0.;
Element t = 0.;
if (v1.size() < _nmax) {
for (size_t i = 0; i< v1.size();++i)
y += v1[i] * v2[i] ;
y = fmodf(y, _field.modulus);
}
else{
size_t i=0;
for (;i< v1.size()- _nmax ;i=i+_nmax){
for (size_t j=i;j<i+_nmax;++j)
y += v1[j] * v2[j];
t+= fmodf(y, _field.modulus);
y=0.;
}
for (;i < v1.size();++i)
y += v1[i] * v2[i];
t+= fmodf(y, _field.modulus);
y = fmodf(t, _field.modulus);
}
return res = y;
}
template <class Vector1, class Vector2>
inline Element &dotSpecializedDSP (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
Element y = 0.;
Element t =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 = fmodf(y, _field.modulus);
}
else {
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+=fmodf(y, _field.modulus);
y=0.;
}
for (;i < v1.first.size();++i)
y += v1.second[i] * v2[v1.first[i]];
t+= fmodf(y, _field.modulus);
y = fmodf(t, _field.modulus);
}
return res = y;
}
private:
Element _bound;
size_t _nmax;
};
} // Namespace LinBox
#include "linbox/randiter/modular-balanced.h"
#include "linbox/randiter/nonzero.h"
#undef FmodF
#endif //__LINBOX_modular_balanced_float_H
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,:0,t0,+0,=s
// Local Variables:
// mode: C++
// tab-width: 8
// indent-tabs-mode: nil
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