/usr/include/fflas-ffpack/field/unparametric.h is in fflas-ffpack-common 1.6.0-1.
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// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
/* field/unparametric.h
* Copyright (C) 1999-2005 William J Turner,
* 2001 Bradford Hovinen
* 2005 Clement Pernet
*
* Written by W. J. Turner <wjturner@acm.org>,
* Bradford Hovinen <hovinen@cis.udel.edu>
* Modified By C. Pernet and inserted into Fflas_Ffpack
*
* ========LICENCE========
* This file is part of the library FFLAS-FFPACK.
*
* FFLAS-FFPACK 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 __FFLASFFPACK_field_unparametric_H
#define __FFLASFFPACK_field_unparametric_H
#include <iostream> // std::cout
#include <string>
#include <algorithm>
#include <typeinfo>
namespace FFPACK
{
template<class _Element>
class UnparametricField ;
template <typename Target, typename Source>
Target& Caster (Target& t, const Source& s)
{
return t = static_cast<Target>(s);
}
/** \brief Unparameterized field adapter.
* \ingroup field
* \defgroup UnparametricField UnparametricField
*
* A field having an interface similar to that of floats is adapted to LinBox.
*
* Used to generate efficient field classes for unparameterized fields (or hidden parameter fields).
*
* Some fields are implemented by definition of the C++ arithmetic operators, such as z = x*y,
* for z, y, z instances of a type K. The LinBox field
* Unparametric<K> is the adaptation to LinBox.
*
* For a typical unparametric field, some of the methods must be defined in a specialization.
*/
template <class K>
class UnparametricOperations {
public:
typedef K Element;
UnparametricOperations(){}
//@{
~UnparametricOperations () {}
/* Assignment operator.
* Assigns UnparametricField object F to field.
* @param F UnparametricField object.
*/
// I believe this should be virtual -bds
///
//@} Field Object Basics.
/** @name Data Object Management.
* first argument is set and the value is also returned.
*/
//@{
Element& init (Element& x) const
{
return x;
}
///
Element &assign (Element &x, const Element &y) const
{
return x = y;
}
//@}
/// @name Comparison Predicates
//@{
/// x == y
bool areEqual (const Element &x, const Element &y) const
{
return x == y;
}
/// x == 0
bool isZero (const Element &x) const
{
return x == Element (0);
}
/// x == 1
bool isOne (const Element &x) const
{
return x == Element (1);
}
//@} Comparison Predicates
/** @name Arithmetic Operations
* The first argument is set and is also the return value.
*/
//@{
/// x := y + z
Element &add (Element &x, const Element &y, const Element &z) const
{
return x = y + z;
}
/// x := y - z
Element &sub (Element &x, const Element &y, const Element &z) const
{
return x = y - z;
}
/// x := y*z
Element &mul (Element &x, const Element &y, const Element &z) const
{
return x = y * z;
}
/// x := y/z
Element &div (Element &x, const Element &y, const Element &z) const
{
return x = y / z;
}
/// x := -y
Element &neg (Element &x, const Element &y) const
{
return x = - y;
}
/// x := 1/y
Element &inv (Element &x, const Element &y) const
{
return x = Element (1) / y;
}
/// z := a*x + y
// more optimal implementation, if available, can be defined in a template specialization.
Element &axpy (Element &z,
const Element &a,
const Element &x,
const Element &y) const
{
return z = a * x + y;
}
//@} Arithmetic Operations
/** @name Inplace Arithmetic Operations
* The first argument is modified and the result is the return value.
*/
//@{
/// x := x + y
Element &addin (Element &x, const Element &y) const
{
return x += y;
}
/// x := x - y
Element &subin (Element &x, const Element &y) const
{
return x -= y;
}
/// x := x*y
Element &mulin (Element &x, const Element &y) const
{
return x *= y;
}
/// x := x/y
Element &divin (Element &x, const Element &y) const
{
return x /= y;
}
/// x := -x
Element &negin (Element &x) const
{
return x = - x;
}
/// x := 1/x
Element &invin (Element &x) const
{
return x = Element (1) / x;
}
/// y := a*x + y
Element &axpyin (Element &y, const Element &a, const Element &x) const
{
return y += a * x;
}
//@} Inplace Arithmetic Operations
/** @name Input/Output Operations */
//@{
/** 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(" << sizeof(Element) <<',' << typeid(Element).name() << ')';
}
/** Read field.
* @return input stream from which field is read.
* @param is input stream from which field is read.
*/
std::istream &read (std::istream &is) const
{
return is;
}
/** Print field element.
* @return output stream to which field element is written.
* @param os output stream to which field element is written.
* @param x field element.
*/
std::ostream &write (std::ostream &os, const Element &x) const
{
return os << x;
}
/** Read field element.
* @return input stream from which field element is read.
* @param is input stream from which field element is read.
* @param x field element.
*/
std::istream &read (std::istream &is, Element &x) const
{
return is >> x;
}
//@}
};
template<class _Element>
class UnparametricField : public UnparametricOperations<_Element> {
protected:
long int _p ; long int _card ;
public:
/** The field's element type.
* Type K must provide a default constructor,
* a copy constructor, a destructor, and an assignment operator.
*/
typedef typename UnparametricOperations<_Element>::Element Element;
const Element one ; // peut pas ĂȘtre static... :(
const Element zero ;
const Element mOne ;
/** @name Field Object Basics.
*/
//@{
/** Builds this field to have characteristic q and cardinality q<sup>e</sup>.
* This constructor must be defined in a specialization.
*/
UnparametricField(long int q = 0, size_t e = 1) :
_p(q), _card((long)(q == 0 ? -1 : pow((double)q, (double)e)) )
// ,one(Element(1L)),zero(Element(0L)),mOne(Element(-1L))
,one(1),zero(0),mOne(-one)
{
// Caster(one,1);
} // assuming q is a prime or zero.
//@}
/// construct this field as copy of F.
UnparametricField (const UnparametricField &F) :
_p(F._p), _card(F._card)
// ,one(1L),zero(0L)
,one(F.one),zero(F.zero),mOne(F.mOne)
{
// init(mOne,-1L);
}
unsigned long &cardinality (unsigned long &c) const
{
return c = _card ;
}
unsigned long &characteristic (unsigned long &c) const
{
return c = _p ;
// return c = _card ;
}
unsigned long cardinality () const
{
return _card ;
}
unsigned long characteristic () const
{
return _p ;
// return _card ;
}
UnparametricField<Element> operator=(const UnparametricField<Element>) { return *this ;}
/// x := y. Caution: it is via cast to long. Good candidate for specialization.
template <typename Src>
Element& init (Element& x, const Src& s) const
{
return FFPACK::Caster (x, s);
}
/// x := y. Caution: it is via cast to long. Good candidate for specialization. --dpritcha
template <typename T>
T& convert (T &x, const Element &y) const
{
return FFPACK::Caster (x,y);
}
};
} // FFPACK
#include "field-general.h"
#endif // __FIELD_UNPARAMETRIC_H_
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