liblinbox-dev 1.4.2-3 / usr / include / linbox / ring / modular / modular-byte.h

/* Copyright (C) 2010 LinBox
 *
 *
 *
 * ========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-byte.h
 * @ingroup field
 * @brief  representation of <code>Z/mZ</code> over \c byte .
 */
#ifndef __LINBOX_modular_bit_H
#define __LINBOX_modular_bit_H


#include "linbox/linbox-config.h"
#include "linbox/integer.h"
#include "linbox/vector/vector-domain.h"
#include "linbox/field/field-interface.h"
#include "linbox/ring/modular.h"
#include "linbox/field/field-traits.h"
#include "linbox/util/debug.h"
#include "linbox/field/field-traits.h"

#ifndef LINBOX_MAX_INT8 /* 127 */
#define LINBOX_MAX_INT8 INT8_MAX
#endif

#ifdef __ICC
#pragma warning(disable:2259)
#endif

// Namespace in which all LinBox code resides
namespace LinBox
{

	template<class Field>
	class FieldAXPY;

	template<class Field>
	class DotProductDomain;

	template<class Field>
	class MVProductDomain;

	template <>
	class FieldAXPY<Givaro::Modular<int8_t> > {
	public:

		typedef int8_t Element;
		typedef int64_t Abnormal;
		typedef Givaro::Modular<int8_t> Field;

		FieldAXPY (const Field &F) :
			_field (&F),_y(0)
		{
		}

		FieldAXPY (const FieldAXPY &faxpy) :
			_field (faxpy._field), _y (0)
		{}

		FieldAXPY<Givaro::Modular<int8_t> > &operator = (const FieldAXPY &faxpy)
		{
			_field = faxpy._field;
			_y = faxpy._y;

			return *this;
		}

		inline uint64_t& mulacc (const Element &a, const Element &x)
		{
			uint64_t t = ( (uint16_t) a ) * ( (uint16_t) x );
			return _y +=t;
		}

		inline uint64_t& accumulate (const Element &t)
		{
			return _y += (uint64_t)t;
		}

		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;
		}

		inline const Field & field() const { return *_field; }

	private:

		const Field *_field;
		uint64_t _y;
		// uint8_t _two_64; // BB : not used
	};


	template <>
	class DotProductDomain<Givaro::Modular<int8_t> > : public VectorDomainBase<Givaro::Modular<int8_t> > {

	public:
		typedef int8_t Element;
		DotProductDomain(){}
		DotProductDomain (const Givaro::Modular<int8_t> &F) :
			VectorDomainBase<Givaro::Modular<int8_t> > (F)
		{ }

		using VectorDomainBase<Givaro::Modular<int8_t> >::field;
	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) {
				y  += ( (uint16_t) *i ) * ( (uint16_t) *j );
			}


			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;

			for (i_idx = v1.first.begin (), i_elt = v1.second.begin (); i_idx != v1.first.end (); ++i_idx, ++i_elt) {
				y += ( (uint16_t) *i_elt ) * ( (uint16_t) v2[*i_idx] );
			}

			y %= (uint64_t) field().characteristic();

			return res = (Element)y;

		}

	};


	template <>
	class MVProductDomain<Givaro::Modular<int8_t> >
	{
	public:

		typedef int8_t Element;

	protected:
		template <class Vector1, class Matrix, class Vector2>
		inline Vector1 &mulColDense
		(const VectorDomain<Givaro::Modular<int8_t> > &VD, Vector1 &w, const Matrix &A, const Vector2 &v) const
		{
			return mulColDenseSpecialized
			(VD, w, A, v, VectorTraits<typename Matrix::Column>::VectorCategory ());
		}

	private:
		template <class Vector1, class Matrix, class Vector2>
		Vector1 &mulColDenseSpecialized
		(const VectorDomain<Givaro::Modular<int8_t> > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
		 VectorCategories::DenseVectorTag) const;
		template <class Vector1, class Matrix, class Vector2>
		Vector1 &mulColDenseSpecialized
		(const VectorDomain<Givaro::Modular<int8_t> > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
		 VectorCategories::SparseSequenceVectorTag) const;
		template <class Vector1, class Matrix, class Vector2>
		Vector1 &mulColDenseSpecialized
		(const VectorDomain<Givaro::Modular<int8_t> > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
		 VectorCategories::SparseAssociativeVectorTag) const;
		template <class Vector1, class Matrix, class Vector2>
		Vector1 &mulColDenseSpecialized
		(const VectorDomain<Givaro::Modular<int8_t> > &VD, Vector1 &w, const Matrix &A, const Vector2 &v,
		 VectorCategories::SparseParallelVectorTag) const;

		mutable std::vector<uint64_t> _tmp;
	};

	template <class Vector1, class Matrix, class Vector2>
	Vector1 &MVProductDomain<Givaro::Modular<int8_t> >::mulColDenseSpecialized
	(const VectorDomain<Givaro::Modular<int8_t> > &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 = ((uint16_t) *k) * ((uint16_t) *j);

				*l += t;

			}
		}

		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 &MVProductDomain<Givaro::Modular<int8_t> >::mulColDenseSpecialized
	(const VectorDomain<Givaro::Modular<int8_t> > &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 = ((uint16_t) k->second) * ((uint16_t) *j);

				_tmp[k->first] += t;

			}
		}

		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 &MVProductDomain<Givaro::Modular<int8_t> >::mulColDenseSpecialized
	(const VectorDomain<Givaro::Modular<int8_t> > &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 = ((uint16_t) k->second) * ((uint16_t) *j);

				_tmp[k->first] += t;

			}
		}

		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 &MVProductDomain<Givaro::Modular<int8_t> >::mulColDenseSpecialized
	(const VectorDomain<Givaro::Modular<int8_t> > &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 = ((uint16_t) *k_elt) * ((uint16_t) *j);

				_tmp[*k_idx] += t;

			}
		}

		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;
	}

}

#ifdef __ICC
#pragma warning(enable:2259)
#endif


#endif //__LINBOX_modular_bit_H


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