/usr/include/givaro/modular-ruint.inl is in libgivaro-dev 4.0.2-8ubuntu1.
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// Copyright(c)'1994-2015 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: A. Breust (adapted)
// ==========================================================================
#ifndef __GIVARO_modular_ruint_INL
#define __GIVARO_modular_ruint_INL
#include "modular-defines.h"
namespace Givaro
{
// -------------
// ----- Modular
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Residu_t
Modular<RecInt::ruint<K>, RecInt::ruint<K>>::maxCardinality() { return RecInt::ruint<K>::maxCardinality(); }
// ------------------------
// ----- Classic arithmetic
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::mul
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_RECINT_MUL(r,_p,a,b);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::sub
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_RECINT_SUB(r,_p,a,b);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::add
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_RECINT_ADD(r,_p,a,b);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::neg
(Element& r, const Element& a) const
{
__GIVARO_MODULAR_RECINT_NEG(r,_p,a);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::inv
(Element& r, const Element& a) const
{
return inv_mod(r, a, _p);
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::div
(Element& r, const Element& a, const Element& b) const
{
return mulin( inv(r,b), a );
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::mulin
(Element& r, const Element& a) const
{
__GIVARO_MODULAR_RECINT_MULIN(r,_p,a);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::divin
(Element& r, const Element& a) const
{
Element ia;
return mulin(r, inv(ia, a));
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::addin
(Element& r, const Element& a) const
{
__GIVARO_MODULAR_RECINT_ADDIN(r,_p,a);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::subin
(Element& r, const Element& a) const
{
__GIVARO_MODULAR_RECINT_SUBIN(r,_p,a);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::negin
(Element& r) const
{
__GIVARO_MODULAR_RECINT_NEGIN(r,_p);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::invin
(Element& r) const
{
return inv(r, r);
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::axpy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
__GIVARO_MODULAR_RECINT_MULADD(r,_p,a,b,c);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::axpyin
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_RECINT_MULADDIN(r,_p,a,b);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::maxpy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
__GIVARO_MODULAR_RECINT_MUL(r,_p,a,b);
__GIVARO_MODULAR_RECINT_SUB(r,_p,c,r);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::axmy
(Element& r, const Element& a, const Element& b, const Element& c) const
{
__GIVARO_MODULAR_RECINT_MULSUB(r,_p,a,b,c);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::maxpyin
(Element& r, const Element& a, const Element& b) const
{
__GIVARO_MODULAR_RECINT_SUBMULIN(r,_p,a,b);
__GIVARO_MODULAR_RECINT_NEGIN(r,_p);
return r;
}
template<size_t K>
inline typename Modular<RecInt::ruint<K>, RecInt::ruint<K>>::Element& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::axmyin
(Element& r, const Element& a, const Element& b) const
{
Element rc(r);
__GIVARO_MODULAR_RECINT_MULSUB(r,_p,a,b,rc);
return r;
}
//----- IO
template<size_t K>
inline std::ostream& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::write (std::ostream& s) const
{
return s << "Modular<RecInt::ruint<" << K << ">, RecInt::ruint<" << K << ">> modulo " << residu();
}
template<size_t K>
inline std::istream& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::read (std::istream& s, Element& a) const
{
Integer tmp;
s >> tmp;
init(a, tmp);
return s;
}
template<size_t K>
inline std::ostream& Modular<RecInt::ruint<K>, RecInt::ruint<K>>::write (std::ostream& s, const Element a) const
{
return s << a;
}
}
#endif
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