/usr/include/givaro/modular-int32.inl is in libgivaro-dev 4.0.2-5.
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// $Source: /var/lib/cvs/Givaro/src/kernel/zpz/givzpz32std.inl,v $
// Copyright(c)'1994-2009 by The Givaro group
// This file is part of Givaro.
// Givaro is governed by the CeCILL-B license under French law
// and abiding by the rules of distribution of free software.
// see the COPYRIGHT file for more details.
// Authors: T. Gautier
// $Id: givzpz32std.inl,v 1.20 2011-02-02 17:16:43 briceboyer Exp $
// ==========================================================================
#ifndef __GIVARO_modular_int32_INL
#define __GIVARO_modular_int32_INL
#include <cmath>
#include "modular-defines.h"
namespace Givaro {
// -------------
// ----- Modular
template<>
inline Modular<int32_t, int32_t>::Residu_t
Modular<int32_t, int32_t>::maxCardinality() { return 65535u; } // 2^16 - 1
template<>
inline Modular<int32_t, uint32_t>::Residu_t
Modular<int32_t, uint32_t>::maxCardinality() { return 65535u; }
template<>
inline Modular<int32_t, uint64_t>::Residu_t
Modular<int32_t, uint64_t>::maxCardinality() { return 2147483647u; } // 2^31 - 1
template<>
inline Modular<int32_t, int64_t>::Residu_t
Modular<int32_t, int64_t>::maxCardinality() { return 2147483647u; }
// ------------------------
// ----- Classic arithmetic
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::mul
(Element& r, const Element& a, const Element& b) const
{
return __GIVARO_MODULAR_INTEGER_MUL(r,_p,a,b);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::sub
(Element& r, const Element& a, const Element& b) const
{
return __GIVARO_MODULAR_INTEGER_SUB(r,_p,a,b);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::add
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_INTEGER_ADD(r,_p,a,b);
return r;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::neg
(Element& r, const Element& a) const
{
return __GIVARO_MODULAR_INTEGER_NEG(r,_p,a);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::inv
(Element& r, const Element& a) const
{
invext(r, a, int32_t(_p));
return (r < 0)? r += int32_t(_p) : r;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::div
(Element& r, const Element& a, const Element& b) const
{
return mulin(inv(r, b), a);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::mulin
(Element& r, const Element& a) const
{
return __GIVARO_MODULAR_INTEGER_MULIN(r, _p, a);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::divin
(Element& r, const Element& a) const
{
Element ia;
return mulin(r, inv(ia, a));
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::addin
(Element& r, const Element& a) const
{
int32_t tmp = r;
__GIVARO_MODULAR_INTEGER_ADDIN(tmp,_p, a);
return r = Element(tmp);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::subin
(Element& r, const Element& a) const
{
int32_t tmp = r;
__GIVARO_MODULAR_INTEGER_SUBIN(tmp,_p, a);
return r = (Modular<int32_t, COMP>::Element)tmp;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::negin
(Element& r) const
{
return __GIVARO_MODULAR_INTEGER_NEGIN(r,_p);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::invin
(Element& r) const
{
return inv(r, r);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::axpy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
return __GIVARO_MODULAR_INTEGER_MULADD(r, _p, a, b, c);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::axpyin
(Element& r, const Element& a, const Element& b) const
{
return __GIVARO_MODULAR_INTEGER_MULADDIN(r, _p, a, b);
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::maxpy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
int32_t tmp;
__GIVARO_MODULAR_INTEGER_MUL(tmp, _p, a, b);
__GIVARO_MODULAR_INTEGER_SUB(r, _p, c, tmp);
return r;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::axmy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
int32_t tmp;
__GIVARO_MODULAR_INTEGER_MULSUB(tmp, _p, a, b, c);
return r = (Modular<int32_t, COMP>::Element)tmp;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::maxpyin
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_INTEGER_SUBMULIN(r, _p, a, b );
return r;
}
template<typename COMP>
inline typename Modular<int32_t, COMP>::Element& Modular<int32_t, COMP>::axmyin
(Element& r, const Element& a, const Element& b) const
{
return __GIVARO_MODULAR_INTEGER_MULSUB(r, _p, a, b, r );
}
// --------------------
// ----- Initialisation
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init(Element& x) const
{
return x = zero;
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init (Element& x, const float y) const
{
Caster<Element,float>(x, std::fmod(y, float(_p)));
return (x < 0.f ? Caster(x, (x+_p) ) : x);
// if (x < 0.f) x = static_cast<Element>(x + _p);
// return x;
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init (Element& x, const double y) const
{
Caster<Element,double>(x,std::fmod(y, double(_p)));
return (x < 0.0 ? Caster(x, (x+_p) ) : x);
// if (x < 0.0) x = static_cast<Element>(x + _p);
// return x;
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init (Element& x, const int64_t y) const
{
Caster<Element,int64_t>(x,y % int64_t(_p));
return (x < 0 ? Caster(x, (x+_p) ) : x);
// if (x < 0) x = static_cast<Element>(x + _p);
// return x;
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init (Element& x, const uint64_t y) const
{
return Caster<Element,uint64_t>(x,y % uint64_t(_p));
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::init (Element& x, const Integer& y) const
{
Caster<Element,Residu_t>(x, y % _p);
return (x < 0 ? Caster(x, (x+_p) ) : x);
// if (x < 0) x = static_cast<Element>(x + _p);
// return x;
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::assign ( Element& r, const Element& a ) const
{
return r = a;
}
// ------------
// ----- Reduce
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::reduce(Element& r, const Element& a) const
{
r = a % static_cast<Element>(_p);
return (r < 0 ? r = static_cast<Element>(r + _p) : r);
}
template<typename COMP> inline typename Modular<int32_t, COMP>::Element&
Modular<int32_t, COMP>::reduce(Element& r) const
{
r %= static_cast<Element>(_p);
return (r < 0 ? r = static_cast<Element>(r + _p) : r);
}
// --------
// ----- IO
template<>
inline std::ostream& Modular<int32_t, int32_t>::write (std::ostream& s) const
{
return s << "Modular<int32_t, uint32_t> modulo " << residu();
}
template<>
inline std::ostream& Modular<int32_t, uint32_t>::write (std::ostream& s) const
{
return s << "Modular<int32_t, uint32_t> modulo " << residu();
}
template<>
inline std::ostream& Modular<int32_t, int64_t>::write (std::ostream& s) const
{
return s << "Modular<int32_t, uint64_t> modulo " << residu();
}
template<>
inline std::ostream& Modular<int32_t, uint64_t>::write (std::ostream& s) const
{
return s << "Modular<int32_t, uint64_t> modulo " << residu();
}
template<typename COMP>
inline std::istream& Modular<int32_t, COMP>::read (std::istream& s, Element& a) const
{
Integer tmp;
s >> tmp;
init(a, tmp);
return s;
}
template<typename COMP>
inline std::ostream& Modular<int32_t, COMP>::write (std::ostream& s, const Element a) const
{
return s << a;
}
} // namespace Givaro
#endif // __GIVARO_zpz32std_INL
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