/usr/include/givaro/modular-balanced-double.inl is in libgivaro-dev 4.0.2-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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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: Clement Pernet <clement.pernet@gmail.com>
// A. Breust (taken from FFLAS-FFPACK)
// ==========================================================================
#ifndef __GIVARO_modular_balanced_double_INL
#define __GIVARO_modular_balanced_double_INL
#include <cmath> // fmod
#define NORMALISE(x) \
{ \
if (x < _mhalfp) x += _p; \
else if (x > _halfp) x -= _p; \
}
#define NORMALISE_HI(x) \
{ \
if (x > _halfp) x -= _p; \
}
namespace Givaro
{
//----- Classic arithmetic
inline ModularBalanced<double>::Element&
ModularBalanced<double>::mul(Element& r, const Element& a, const Element& b) const
{
return reduce(r = a * b);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::div(Element& r, const Element& a, const Element& b) const
{
Element tmp;
return mul (r, a, inv(tmp, b));
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::add(Element& r, const Element& a, const Element& b) const
{
r = a + b;
NORMALISE(r);
return r;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::sub(Element& r, const Element& a, const Element& b) const
{
r = a - b;
NORMALISE(r);
return r;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::neg(Element& r, const Element& a) const
{
return r = -a;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::inv(Element& r, const Element& a) const
{
r = invext(a, _p);
NORMALISE(r);
return r;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::mulin(Element& r, const Element& a) const
{
return mul(r, r, a);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::divin(Element& r, const Element& a) const
{
return div(r, r, a);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::addin(Element& r, const Element& a) const
{
return add(r, r, a);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::subin(Element& r, const Element& a) const
{
return sub(r, r, a);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::negin(Element& r) const
{
return neg(r, r);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::invin(Element& r) const
{
return inv(r, r);
}
//----- Special arithmetic
inline ModularBalanced<double>::Element&
ModularBalanced<double>::axpy(Element& r, const Element& a, const Element& x, const Element& y) const
{
return reduce(r = a * x + y);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::axpyin(Element& r, const Element& a, const Element& x) const
{
return reduce(r += a * x);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::axmy(Element& r, const Element& a, const Element& x, const Element& y) const
{
return reduce(r = a * x - y);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::axmyin(Element& r, const Element& a, const Element& x) const
{
return reduce(r = a * x - r);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::maxpy(Element& r, const Element& a, const Element& x, const Element& y) const
{
return reduce(r = y - a * x);
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>:: maxpyin(Element& r, const Element& a, const Element& x) const
{
return reduce(r -= a * x);
}
//----- Init
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x) const
{
return x = 0;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x, const float y) const
{
x = static_cast<Element>(fmod(y, double(_p)));
NORMALISE(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x, const double y) const
{
x = static_cast<Element>(fmod(y, _p));
NORMALISE(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x, const int64_t y) const
{
x = static_cast<Element>(y % static_cast<int64_t>(_up));
NORMALISE(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x, const uint64_t y) const
{
x = static_cast<Element>(y % static_cast<uint64_t>(_up));
NORMALISE_HI(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::init(Element& x, const Integer& y) const
{
x = static_cast<Element>(y % _p);
NORMALISE_HI(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::assign(Element& x, const Element& y) const
{
return x = y;
}
//----- Reduce
inline ModularBalanced<double>::Element&
ModularBalanced<double>::reduce(Element& x, const Element& y) const
{
x = fmod(y, _p);
NORMALISE(x);
return x;
}
inline ModularBalanced<double>::Element&
ModularBalanced<double>::reduce(Element& x) const
{
x = fmod(x, _p);
NORMALISE(x);
return x;
}
//----- IO
inline std::ostream&
ModularBalanced<double>::write(std::ostream& os) const
{
return os << "ModularBalanced<double> mod " << _p;
}
inline std::ostream&
ModularBalanced<double>::write(std::ostream& os, const Element& x) const
{
return os << x;
}
inline std::istream&
ModularBalanced<double>::read(std::istream& is, Element& x) const
{
Element tmp;
is >> tmp;
init(x, tmp);
return is;
}
}
#undef NORMALISE
#undef NORMALISE_HI
#endif
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