/usr/include/linbox/field/Givaro/givaro-zpz.h is in liblinbox-dev 1.3.2-1.1.
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* Copyright (C) 2002 Pascal Giorgi
*
* Written by Pascal Giorgi <pascal.giorgi@ens-lyon.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========
*.
*/
/* WARNING this wrapper works only with an improved version of Givaro.
* This version of givaro won't be available for public yet.
* But it is available on my web page.
* You can send me a mail to get it or for others details.
*/
#ifndef __LINBOX_field_givaro_zpz_H
#define __LINBOX_field_givaro_zpz_H
#include "linbox/linbox-config.h"
#include "linbox/integer.h"
#include "linbox/field/field-interface.h"
#include "linbox/util/debug.h"
#include "linbox/vector/vector-domain.h"
//-------------------------------------
// Files of Givaro library
#include <givaro/givzpz.h>
#include <givaro/giv_randiter.h>
#include "linbox/field/field-traits.h"
//--------------------------------------
// Namespace in which all LinBox code resides
namespace LinBox
{
/* This wrappers allows to use three sorts of givaro fields :
* Elements represent by a 32 bits integer
* Elements represent by a 16 bits integer
* Elements represent in Zech log representation by a 16 bits integer
*
* To use this fields with the wrapper below just replace the template
* parameter by the Tag appropriated.
* "Givaro::Std16" for 16 bits integer
* "Givaro::Std32" for 32 bits integer
* "Givaro::Log16" for Zech log representation in 16 bits
*/
template<class Field>
class DotProductDomain;
template<class Field>
class FieldAXPY;
template <class Ring>
struct ClassifyRing;
template <class TAG>
class GivaroZpz;
template<class Tag>
struct ClassifyRing<GivaroZpz<Tag> > {
typedef RingCategories::ModularTag categoryTag;
};
/** \brief wrapper of Givaro's ZpzDom.
\ingroup field
* Most methods are inherited from Givaro::ZpzDom< Givaro::Std16>, Givaro::ZpzDom< Givaro::Std32>
* and Givaro::ZpzDom<log16> classes of Givaro.
* These classes allow to construct only finite field with a prime modulus.
*/
template <class TAG>
class GivaroZpz : public Givaro::ZpzDom<TAG>, public FieldInterface {
private:
/* friend class DotProductDomain<GivaroZpz<TAG> > ;
friend class FieldAXPY<GivaroZpz<TAG> >; */
public:
//typedef integer Integer;
/** Element type.
* This type is inherited from the Givaro class Givaro::ZpzDom<TAG>
*/
typedef typename Givaro::ZpzDom<TAG>::Rep Element;
// Element zero,one,mOne;
typedef Givaro::ZpzDom<TAG> Father_t ;
typedef GivaroZpz<TAG> Self_t ;
using Father_t::one ;
using Father_t::zero ;
using Father_t::mOne ;
/** RandIter type
* This type is inherited from the Givaro class Givaro::ZpzDom<TAG>
*/
typedef Givaro::GIV_randIter< Givaro::ZpzDom<TAG>, integer > RandIter;
/** Constructor from an integer
* this constructor use the Givaro::ZpzDom<TAG> constructor
*/
GivaroZpz (const integer &p) :
Givaro::ZpzDom<TAG> (static_cast<typename Givaro::ZpzDom<TAG>::Residu_t> (p))
{}
/** Constructor from an integer (takes degree of extension as 2nd parameter, must be 1)
* this constructor use the Givaro::ZpzDom<TAG> constructor
*/
GivaroZpz (const integer &p, const integer& k) :
Givaro::ZpzDom<TAG> (static_cast<typename Givaro::ZpzDom<TAG>::Residu_t> (p))
{
if (k!=1)
throw PreconditionFailed(__func__,__FILE__,__LINE__,"exponent must be 1");
}
/** Copy constructor.
* This copy constructor use the Givaro::ZpzDom<TAG> copy constructor
*/
GivaroZpz (const GivaroZpz<TAG>& F) :
Givaro::ZpzDom<TAG> (F)
{}
#if 0
// Rich Seagraves 7-16-2003
// As is, this operator is an infinite loop
// By not providing an operator= in GivaroZpz,
// the operator= in the base class ( Givaro::ZpzDom<TAG>) is called
// automatically by the rules of C++, which I'm guessing is
// the "Right Thing" for this operator
//
/** Operator =
*/
/*
GivaroZpz<TAG>& operator= (const GivaroZpz<TAG>& F)
{
return (*this)=F;
}
*/
#endif
/** Characteristic.
* Return integer representing characteristic of the domain.
* @return integer representing characteristic of the domain.
*/
integer &characteristic (integer &c) const
{
return c = integer ( Givaro::ZpzDom<TAG>::size ());
}
unsigned long &characteristic (unsigned long &c) const
{
return c = (unsigned long) ( Givaro::ZpzDom<TAG>::size ());
}
long characteristic() const
{
return static_cast<int>( Givaro::ZpzDom<TAG>::size());
}
/** Cardinality.
* Return integer representing cardinality of the domain.
* @return integer representing cardinality of the domain
*/
integer &cardinality (integer &c) const
{
return c = integer ( Givaro::ZpzDom<TAG>::size ());
}
integer cardinality () const
{
return integer ( Givaro::ZpzDom<TAG>::size ());
}
/** Conversion of field base element to an integer.
* This function assumes the output field base element x has already been
* constructed, but that it is not already initialized.
* @return reference to an integer.
* @param x integer to contain output (reference returned).
* @param y constant field base element.
*/
integer &convert (integer &x, const Element &y) const
{
return x = integer (y);
}
double &convert (double& x, const Element& y) const
{
return x = static_cast<double>(y);
}
template<class Type>
Type &convert (Type& x, const Element& y) const
{
return x = static_cast<Type>(y);
}
/** Initialization of field base element from an integer.
* Behaves like C++ allocator construct.
* This function assumes the output field base element x has already been
* constructed, but that it is not already initialized.
* @return reference to field base element.
* @param x field base element to contain output (reference returned).
* @param y integer.
*/
Element &init (Element &x , const integer &y = 0) const
{
//
// AU 28/03/07 no cast to long allows to use Givaro::ZpzDom<integer>
//
//Givaro::ZpzDom<TAG>::init (x, (long) (y% integer(this->_p)));
Givaro::ZpzDom<TAG>::init (x, (y% integer(this->_p)));
return x;
}
Element &init (Element &x , const long &y ) const
{
return Givaro::ZpzDom<TAG>::init (x, y ) ;
}
Element &init (Element &x , const int &y ) const
{
return Givaro::ZpzDom<TAG>::init (x, y ) ;
}
Element &init (Element &x , const unsigned&y ) const
{
return Givaro::ZpzDom<TAG>::init (x, y ) ;
}
Element &init (Element &x , const unsigned long &y ) const
{
return Givaro::ZpzDom<TAG>::init (x, y ) ;
}
Element &init (Element &x , const double &y ) const
{
double z = fmod(y, (double) this->_p);
if (z < 0) z += (double) this->_p;
z += 0.5;
return x = static_cast<Element>(z); //rounds towards 0
}
static uint64_t getMaxModulus();
}; // class GivaroZpz<TAG>
template <> uint64_t GivaroZpz< Givaro::Std32>::getMaxModulus() { return 46339; } // 2^15.5-1
template <> uint64_t GivaroZpz< Givaro::Std64>::getMaxModulus() { return 3037000499ULL; } // 2^15.5-1
template <> uint64_t GivaroZpz< Givaro::Unsigned32>::getMaxModulus() { return 65535; } // 2^16-1
template <> uint64_t GivaroZpz< Givaro::Std16>::getMaxModulus() { return 255; } // 2^8-1
template <> uint64_t GivaroZpz< Givaro::Log16>::getMaxModulus() { return 32767; } // 2^15 - 1
/** Specialisation of the convert function for the zech log representation
* of givaro-zpz (GivaroZpz< Givaro::Log16>.
* this function translates the internal representation to the real
* value of the element.
* This can have no sense but can be usefull
* NB : the init function for this specialisation does the same thing.
* the function transaltes the values to her internal representation.
*/
template <> integer& GivaroZpz< Givaro::Log16>::convert(integer& x, const Element& y) const
{
if (y>=this->_p) return x = 0;
int tmp = _tab_rep2value[y];
return x = integer (tmp);
}
template <> double& GivaroZpz< Givaro::Log16>::convert(double& x, const Element& y) const
{
if (y>=this->_p) return x = 0.0;
int tmp = _tab_rep2value[y];
return x = (double) tmp;
}
template <> GivaroZpz< Givaro::Log16>::Element& GivaroZpz< Givaro::Log16>::init(GivaroZpz< Givaro::Log16>::Element& x, const double& y) const
{
double z = fmod(y, (double) this->_p);
if (z < 0) z += this->_p;
z += 0.5;
return x = _tab_value2rep[static_cast<long>(z)]; //rounds towards 0
}
template <> GivaroZpz< Givaro::Log16>::Element& GivaroZpz< Givaro::Log16>::init(GivaroZpz< Givaro::Log16>::Element& x, const integer& y) const
{
int tmp =(int) (y % (integer)this->_p);
if (tmp < 0 ) tmp += this->_p;
return x = _tab_value2rep[tmp];
}
/* Specialization of FieldAXPY for GivaroZpz< Givaro::Std32> Field */
template <>
class FieldAXPY<GivaroZpz< Givaro::Std32> > {
public:
typedef GivaroZpz< Givaro::Std32>::Element Element;
typedef GivaroZpz< Givaro::Std32> Field;
FieldAXPY (const Field &F) :
_field (F) , Corr(uint64_t(-1) % (uint64_t)F.characteristic() +1)
{ _y = 0; }
FieldAXPY (const FieldAXPY &faxpy) :
_field (faxpy._field), _y (0) , Corr(faxpy.Corr)
{}
FieldAXPY<GivaroZpz< Givaro::Std32> > &operator = (const FieldAXPY &faxpy)
{ _field = faxpy._field; _y = faxpy._y; Corr = faxpy.Corr; return *this; }
inline uint64_t& mulacc (const Element &a, const Element &x)
{
uint64_t t = (uint64_t) a * (uint64_t) x;
_y += t;
if (_y < t)
return _y += Corr;
else
return _y;
}
inline uint64_t& accumulate (const Element &t)
{
_y += t;
if (_y < (uint64_t)t)
return _y += Corr;
else
return _y;
}
inline Element &get (Element &y) {
_y %= (uint64_t) _field.characteristic();
if ((int64_t) _y < 0) _y += _field.characteristic();
y = (uint32_t) _y;
return y;
}
inline FieldAXPY &assign (const Element y)
{ _y = y; return *this; }
inline void reset() {
_y = 0;
}
private:
Field _field;
uint64_t _y;
uint64_t Corr;
};
/* Specialization of FieldAXPY for GivaroZpz< Givaro::Std32> Field */
template <>
class FieldAXPY<GivaroZpz< Givaro::Std16> > {
public:
typedef GivaroZpz< Givaro::Std16>::Element Element;
typedef GivaroZpz< Givaro::Std16> Field;
FieldAXPY (const Field &F) :
_field (F) , Corr(uint32_t(-1) % (uint32_t)F.characteristic() +1)
{
_y = 0;
}
FieldAXPY (const FieldAXPY &faxpy) :
_field (faxpy._field), _y (0) , Corr(faxpy.Corr)
{}
FieldAXPY<GivaroZpz< Givaro::Std16> > &operator = (const FieldAXPY &faxpy)
{
_field = faxpy._field;
_y = faxpy._y;
Corr = faxpy.Corr;
return *this;
}
inline uint32_t& mulacc (const Element &a, const Element &x)
{
uint32_t t = (uint32_t) a * (uint32_t) x;
_y += t;
if (_y < t)
return _y += Corr;
else
return _y;
}
inline uint32_t& accumulate (const Element &t)
{
_y += t;
if (_y < (uint32_t)t)
return _y += Corr;
else
return _y;
}
inline Element &get (Element &y)
{
_y %= (uint32_t) _field.characteristic();
if ((int32_t) _y < 0)
_y += (Element) _field.characteristic();
y = (uint16_t) _y;
return y;
}
inline FieldAXPY &assign (const Element y)
{
_y = y;
return *this;
}
inline void reset()
{
_y = 0;
}
private:
Field _field;
uint32_t _y;
uint32_t Corr;
};
// Specialization of DotProductDomain for GivaroZpz< Givaro::Std32> field
template <>
class DotProductDomain<GivaroZpz< Givaro::Std32> > : private virtual VectorDomainBase<GivaroZpz< Givaro::Std32> > {
public:
typedef GivaroZpz< Givaro::Std32>::Element Element;
DotProductDomain (const GivaroZpz< Givaro::Std32> &F) :
VectorDomainBase<GivaroZpz< Givaro::Std32> > (F) ,
Corr(uint64_t(-1) % (uint64_t)F.characteristic() +1),
Max(uint64_t(-1))
{}
protected:
template <class Vector1, class Vector2>
inline Element &dotSpecializedDD (Element &res, const Vector1 &v1, const Vector2 &v2) const;
template <class Vector1, class Vector2>
inline Element &dotSpecializedDSP (Element &res, const Vector1 &v1, const Vector2 &v2) const;
private:
uint64_t Corr;
uint64_t Max;
};
// Specialization of DotProductDomain for GivaroZpz< Givaro::Std16> field
template <>
class DotProductDomain<GivaroZpz< Givaro::Std16> > : private virtual VectorDomainBase<GivaroZpz< Givaro::Std16> > {
public:
typedef GivaroZpz< Givaro::Std16>::Element Element;
DotProductDomain (const GivaroZpz< Givaro::Std16> &F) :
VectorDomainBase<GivaroZpz< Givaro::Std16> > (F) ,
Corr(uint32_t(-1) % (uint32_t)F.characteristic() +1),
Max(uint32_t(-1))
{}
protected:
template <class Vector1, class Vector2>
inline Element &dotSpecializedDD (Element &res, const Vector1 &v1, const Vector2 &v2) const;
template <class Vector1, class Vector2>
inline Element &dotSpecializedDSP (Element &res, const Vector1 &v1, const Vector2 &v2) const;
private:
uint32_t Corr;
uint32_t Max;
};
} // namespace LinBox
#include "linbox/field/Givaro/givaro-zpz.inl"
#endif // __LINBOX_field_givaro_zpz_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
// c-basic-offset: 8
// End:
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