/usr/include/linbox/field/NTL/ntl-RR.h is in liblinbox-dev 1.3.2-1.1build2.
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* Copyright (C) 1999-2005 William J Turner,
* 2001 Bradford Hovinen
* Copyright (C) 2011 LinBox
*
* Written by W. J. Turner <wjturner@acm.org>,
* Bradford Hovinen <hovinen@cis.udel.edu>
*
* ------------------------------------
*
*
* ========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/NTL/ntl-RR.h
* @ingroup field
* @ingroup NTL
* @brief NO DOC
*/
#ifndef __LINBOX_field_ntl_rr_H
#define __LINBOX_field_ntl_rr_H
#include "linbox/linbox-config.h"
#ifndef __LINBOX_HAVE_NTL
#error "you need NTL here"
#endif
#include <NTL/tools.h>
#include <NTL/RR.h>
#include "linbox/util/debug.h"
#include "linbox/field/unparametric.h"
#include "linbox/randiter/unparametric.h"
#include "linbox/field/field-traits.h"
#include "linbox/integer.h"
namespace Givaro
{
/** Initialization of field element from an integer.
* Behaves like C++ allocator construct.
* This function assumes the output field element x has already been
* constructed, but that it is not already initialized.
* For now, this is done by converting the integer type to a C++
* long and then to the element type through the use of static cast and
* NTL's to_RR function.
* This, of course, assumes such static casts are possible.
* This function should be changed in the future to avoid using long.
* @return reference to field element.
* @param x field element to contain output (reference returned).
* @param y integer.
*/
template <>
NTL::RR& Caster(NTL::RR& x, const Integer& y)
{
return x = NTL::to_RR(static_cast<const long&>(y));
}
template <>
NTL::RR& Caster(NTL::RR& x, const double& y)
{
return x = NTL::to_RR((long)(y));
}
template <>
NTL::RR& Caster(NTL::RR& x, const int& y)
{
return x = NTL::to_RR((long)(y));
}
template <>
NTL::RR& Caster(NTL::RR& x, const long int& y)
{
return x = NTL::to_RR((long)(y));
}
/** Conversion of field element to an integer.
* This function assumes the output field element x has already been
* constructed, but that it is not already initialized.
* For now, this is done by converting the element type to a C++
* long and then to the integer type through the use of static cast and
* NTL's to_long function.
* This, of course, assumes such static casts are possible.
* This function should be changed in the future to avoid using long.
* @return reference to integer.
* @param x reference to integer to contain output (reference returned).
* @param y constant reference to field element.
*/
template <>
Integer& Caster(Integer& x, const NTL::RR& y)
{
return x = static_cast<Integer>(to_long(y));
}
} // namespace Givaro
// Namespace in which all LinBox library code resides
namespace LinBox
{
class NTL_RR_Initialiser {
public :
NTL_RR_Initialiser () { }
};
/** @name class RR.
\brief
* Rational number field.
* This field is provided as a convenience in a few places.
* Use with caution because expression swell.
*
* This specialization allows the \ref UnparametricField template class to be
* used to wrap NTL's RR class as a LinBox field.
\ingroup field
*/
//@{
struct NTL_RR: public NTL_RR_Initialiser, public FFPACK::UnparametricOperations<NTL::RR> {
typedef NTL::RR Element ;
typedef FFPACK::UnparametricOperations<Element> Father_t ;
typedef UnparametricRandIter<Element> RandIter;
const Element zero,one,mOne ;
NTL_RR() :
NTL_RR_Initialiser(),Father_t ()
,zero( NTL::to_RR(0)),one( NTL::to_RR(1)),mOne(-one)
{
// no default - allow initialization of ZZ_p directly by user.
}
/** Multiplicative Inverse.
* x = 1 / y
* This function assumes both field elements have already been
* constructed and initialized.
* @return reference to x.
* @param x field element (reference returned).
* @param y field element.
*/
Element& inv(Element& x, const Element& y) const
{
return x = NTL::inv(y);
}
/** Zero equality.
* Test if field element is equal to zero.
* This function assumes the field element has already been
* constructed and initialized.
* In this specialization, NTL's IsZero function is called.
* @return boolean true if equals zero, false if not.
* @param x field element.
*/
bool isZero(const Element& x) const
{
return static_cast<bool>(IsZero(x));
}
/** One equality.
* Test if field element is equal to one.
* This function assumes the field element has already been
* constructed and initialized.
* In this specialization, NTL's IsOne function is called.
* @return boolean true if equals one, false if not.
* @param x field element.
*/
bool isOne(const Element& x) const
{
return static_cast<bool>(IsOne(x));
}
/** Inplace Multiplicative Inverse.
* x = 1 / x
* This function assumes both field elements have already been
* constructed and initialized.
* @return reference to x.
* @param x field element (reference returned).
*/
Element& invin(Element& x) const
{
return x = NTL::inv(x);
}
/** Print field.
* @return output stream to which field is written.
* @param os output stream to which field is written.
*/
std::ostream& write(std::ostream& os) const
{
return os << "unparameterized field Element";
}
integer & cardinality(integer &c) const
{
return c = -1L;
}
integer & characteristic(integer &c) const
{
return c = 0UL;
}
std::ostream &write (std::ostream &os, const Element &x) const {
return FFPACK::UnparametricOperations<Element>::write(os,x);
}
Element& init (Element& x) const
{
return x;
}
template <typename Src>
Element& init (Element& x, const Src& s) const
{
return Caster (x, s);
}
template <typename T>
T& convert (T &x, const Element &y) const
{
return Caster (x,y);
}
};
template <>
class UnparametricRandIter<NTL::RR> {
typedef NTL::RR Element ;
protected:
integer _size,_seed;
public:
UnparametricRandIter<NTL::RR> (const NTL_RR & F,
const integer& size = 0,
const integer& seed = 0) :
_size(size), _seed(seed)
{
if (_seed == integer(0)) _seed = integer(time(NULL));
// integer cardinality;
// F.cardinality(cardinality);
// if (_size > cardinality)
// _size = 0;
#ifdef TRACE
std::cout << "created random generator with size " << _size
<< " and seed " << _seed << std::endl;
#endif // TRACE
// Seed random number generator
NTL::SetSeed(NTL::to_ZZ(static_cast<long>(_seed)));
}
/** Random field element creator.
* This returns a random field element from the information supplied
* at the creation of the generator.
* This generator uses the built-in C++ random number generator instead of
* NTL's random function because the NTL function does not allow as much
* control over the sampling size as the generic LinBox template. This
* specialization is included only to allow conversion to an NTL
* object.
* @return random field element
*/
Element& random(Element &elt) const
{
// NTL::random(elt);
// Create new random elements
if (_size == 0)
elt = rand();
else
elt = static_cast<double>((double(rand())/RAND_MAX)*double(_size));
#ifdef TRACE
double temp ;
NTL::conv(temp, elt);
std::cout << "random double = " << temp << " random Element = " << elt << std::endl;
#endif // TRACE
return elt;
} // element& operator() (void)
};
template <class Ring>
struct ClassifyRing;
template<class Element>
struct ClassifyRing<UnparametricField<Element> >;
template<>
struct ClassifyRing<NTL_RR >{
typedef RingCategories::ModularTag categoryTag;
};
//@}
} // namespace LinBox
#endif // __LINBOX_field_ntl_rr_H
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