/usr/include/linbox/ring/modular/modular-int64.h is in liblinbox-dev 1.4.2-5build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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* Adapted by Brice Boyer (briceboyer) <boyer.brice@gmail.com>
* (from other modular-balanced* files)
*
*
* ========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========
*/
/*! @file field/modular/modular-int64.h
* @ingroup field
* @brief representation of <code>Z/mZ</code> over \c int64_t .
*/
#ifndef __LINBOX_modular_int64_H
#define __LINBOX_modular_int64_H
#include <cmath>
#include "linbox/linbox-config.h"
#include "linbox/integer.h"
#include "linbox/ring/modular.h"
#include "linbox/vector/vector-domain.h"
#include "linbox/field/field-interface.h"
#include "linbox/field/field-traits.h"
#include "linbox/util/debug.h"
#include "linbox/field/field-traits.h"
#include <givaro/modular-int64.h>
#ifndef LINBOX_MAX_INT64 /* 18446744073709551615L(L) is UINT64_MAX*/
#ifdef __x86_64__
#define LINBOX_MAX_INT64 INT64_MAX
#else
#define LINBOX_MAX_INT64 INT64_MAX
#endif
#endif
// Namespace in which all LinBox code resides
namespace LinBox
{
template<class Field>
class DotProductDomain;
template<class Field>
class FieldAXPY;
template<class Field>
class MVProductDomain;
template <typename Compute_t>
class FieldAXPY<Givaro::Modular<int64_t,Compute_t> > {
public:
typedef int64_t Element;
typedef Givaro::Modular<int64_t,Compute_t> Field;
FieldAXPY (const Field &F) : _field (&F), _y(0)
{
_two_64 = (uint64_t(1) << 32) % uint64_t(F.characteristic());
_two_64 = (_two_64 * _two_64) % uint64_t(F.characteristic());
}
FieldAXPY (const FieldAXPY &faxpy) :
_two_64 (faxpy._two_64), _field (faxpy._field), _y (0)
{}
FieldAXPY<Field> &operator = (const FieldAXPY &faxpy)
{
_field = faxpy._field;
_y = faxpy._y;
_two_64 = faxpy._two_64;
return *this;
}
inline const Field & field() const { return *_field; }
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 += _two_64;
else
return _y;
}
inline uint64_t& accumulate (const Element &t)
{
_y += (uint64_t)t;
if (_y < (uint64_t)t)
return _y += _two_64;
else
return _y;
}
inline Element& get (Element &y)
{
y =Element(_y % (uint64_t) field().characteristic());
return y;
}
inline FieldAXPY &assign (const Element y)
{
_y = (uint64_t)y;
return *this;
}
inline void reset()
{
_y = 0;
}
public:
uint64_t _two_64;
protected:
const Field *_field;
uint64_t _y;
};
template <typename Compute_t>
class DotProductDomain<Givaro::Modular<int64_t,Compute_t> > : public VectorDomainBase<Givaro::Modular<int64_t,Compute_t> > {
public:
typedef int64_t Element;
typedef Givaro::Modular<int64_t,Compute_t> Field;
using VectorDomainBase<Field>::faxpy;
using VectorDomainBase<Field>::field;
DotProductDomain(){}
DotProductDomain (const Field &F) :
VectorDomainBase<Field> (F)
{}
protected:
template <class Vector1, class Vector2>
inline Element &dotSpecializedDD (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
typename Vector1::const_iterator i;
typename Vector2::const_iterator j;
uint64_t y = 0;
uint64_t t;
for (i = v1.begin (), j = v2.begin (); i < v1.end (); ++i, ++j)
{
t = ( (uint64_t) *i ) * ( (uint64_t) *j );
y += t;
if (y < t)
y += faxpy()._two_64;
}
y %= (uint64_t) field().characteristic();
return res = (Element)y;
}
template <class Vector1, class Vector2>
inline Element &dotSpecializedDSP (Element &res, const Vector1 &v1, const Vector2 &v2) const
{
typename Vector1::first_type::const_iterator i_idx;
typename Vector1::second_type::const_iterator i_elt;
uint64_t y = 0;
uint64_t t;
for (i_idx = v1.first.begin (), i_elt = v1.second.begin (); i_idx != v1.first.end (); ++i_idx, ++i_elt)
{
t = ( (uint64_t) *i_elt ) * ( (uint64_t) v2[*i_idx] );
y += t;
if (y < t)
y += faxpy()._two_64;
}
y %= (uint64_t) field().characteristic();
return res = (Element) y;
}
};
// Specialization of MVProductDomain for int64_t modular field
template <typename Compute_t>
class MVProductDomain<Givaro::Modular<int64_t,Compute_t> > {
public:
typedef int64_t Element;
typedef Givaro::Modular<int64_t,Compute_t> Field;
protected:
template <class Vector1, class Matrix, class Vector2>
inline Vector1 &mulColDense
(const VectorDomain<Field> &VD, Vector1 &w, const Matrix &A, const Vector2 &v) const
{
return mulColDenseSpecialized
(VD, w, A, v, typename VectorTraits<typename Matrix::Column>::VectorCategory ());
}
private:
template <class Vector1, class Matrix, class Vector2>
Vector1 &mulColDenseSpecialized
(const VectorDomain<Field> &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
VectorCategories::DenseVectorTag) const
{
linbox_check (A.coldim () == v.size ());
linbox_check (A.rowdim () == w.size ());
typename Matrix::ConstColIterator i = A.colBegin ();
typename Vector2::const_iterator j;
typename Matrix::Column::const_iterator k;
std::vector<uint64_t>::iterator l;
uint64_t t;
if (_tmp.size () < w.size ())
_tmp.resize (w.size ());
std::fill (_tmp.begin (), _tmp.begin () + w.size (), 0);
for (j = v.begin (); j != v.end (); ++j, ++i)
{
for (k = i->begin (), l = _tmp.begin (); k != i->end (); ++k, ++l)
{
t = ((uint64_t) *k) * ((uint64_t) *j);
*l += t;
if (*l < t)
*l += VD.faxpy()._two_64;
}
}
typename Vector1::iterator w_j;
for (w_j = w.begin (), l = _tmp.begin (); w_j != w.end (); ++w_j, ++l)
*w_j = *l % VD.field ().characteristic();
return w;
}
template <class Vector1, class Matrix, class Vector2>
Vector1 &mulColDenseSpecialized
(const VectorDomain<Field > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
VectorCategories::SparseSequenceVectorTag) const
{
linbox_check (A.coldim () == v.size ());
linbox_check (A.rowdim () == w.size ());
typename Matrix::ConstColIterator i = A.colBegin ();
typename Vector2::const_iterator j;
typename Matrix::Column::const_iterator k;
std::vector<uint64_t>::iterator l;
uint64_t t;
if (_tmp.size () < w.size ())
_tmp.resize (w.size ());
std::fill (_tmp.begin (), _tmp.begin () + w.size (), 0);
for (j = v.begin (); j != v.end (); ++j, ++i)
{
for (k = i->begin (), l = _tmp.begin (); k != i->end (); ++k, ++l)
{
t = ((uint64_t) k->second) * ((uint64_t) *j);
_tmp[k->first] += t;
if (_tmp[k->first] < t)
_tmp[k->first] += VD.faxpy()._two_64;
}
}
typename Vector1::iterator w_j;
for (w_j = w.begin (), l = _tmp.begin (); w_j != w.end (); ++w_j, ++l)
*w_j = *l % VD.field ().characteristic();
return w;
}
template <class Vector1, class Matrix, class Vector2>
Vector1 &mulColDenseSpecialized
(const VectorDomain<Field > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
VectorCategories::SparseAssociativeVectorTag) const
{
linbox_check (A.coldim () == v.size ());
linbox_check (A.rowdim () == w.size ());
typename Matrix::ConstColIterator i = A.colBegin ();
typename Vector2::const_iterator j;
typename Matrix::Column::const_iterator k;
std::vector<uint64_t>::iterator l;
uint64_t t;
if (_tmp.size () < w.size ())
_tmp.resize (w.size ());
std::fill (_tmp.begin (), _tmp.begin () + w.size (), 0);
for (j = v.begin (); j != v.end (); ++j, ++i)
{
for (k = i->begin (), l = _tmp.begin (); k != i->end (); ++k, ++l)
{
t = ((uint64_t) k->second) * ((uint64_t) *j);
_tmp[k->first] += t;
if (_tmp[k->first] < t)
_tmp[k->first] += VD.faxpy()._two_64;
}
}
typename Vector1::iterator w_j;
for (w_j = w.begin (), l = _tmp.begin (); w_j != w.end (); ++w_j, ++l)
*w_j = *l % VD.field ().characteristic();
return w;
}
template <class Vector1, class Matrix, class Vector2>
Vector1 &mulColDenseSpecialized
(const VectorDomain<Field > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
VectorCategories::SparseParallelVectorTag) const
{
linbox_check (A.coldim () == v.size ());
linbox_check (A.rowdim () == w.size ());
typename Matrix::ConstColIterator i = A.colBegin ();
typename Vector2::const_iterator j;
typename Matrix::Column::first_type::const_iterator k_idx;
typename Matrix::Column::second_type::const_iterator k_elt;
std::vector<uint64_t>::iterator l;
uint64_t t;
if (_tmp.size () < w.size ())
_tmp.resize (w.size ());
std::fill (_tmp.begin (), _tmp.begin () + w.size (), 0);
for (j = v.begin (); j != v.end (); ++j, ++i)
{
for (k_idx = i->first.begin (), k_elt = i->second.begin (), l = _tmp.begin ();
k_idx != i->first.end ();
++k_idx, ++k_elt, ++l)
{
t = ((uint64_t) *k_elt) * ((uint64_t) *j);
_tmp[*k_idx] += t;
if (_tmp[*k_idx] < t)
_tmp[*k_idx] += VD.faxpy()._two_64;
}
}
typename Vector1::iterator w_j;
for (w_j = w.begin (), l = _tmp.begin (); w_j != w.end (); ++w_j, ++l)
*w_j = *l % VD.field ().characteristic();
return w;
}
mutable std::vector<uint64_t> _tmp;
};
}
#undef LINBOX_MAX_INT64
#endif //__LINBOX_modular_int64_H
// Local Variables:
// mode: C++
// tab-width: 8
// indent-tabs-mode: nil
// c-basic-offset: 8
// End:
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
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