libgivaro-dev 3.7.2-1 / usr / include / givaro / givzpz16table1.h

// ==========================================================================
// $Source: /var/lib/cvs/Givaro/src/kernel/zpz/givzpz16table1.h,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: J.G. Dumas
// $Id: givzpz16table1.h,v 1.17 2011-02-04 14:11:46 jgdumas Exp $
// ==========================================================================
//
//  Modified by Pascal Giorgi on 2002/02/13  (pascal.giorgi@ens-lyon.fr)

/*! @file givzpz16table1.h
 * @ingroup zpz
 * @brief  Arithmetic on Z/pZ, with tabulation of operations.
 */

#ifndef __GIVARO_zpz16log_H
#define __GIVARO_zpz16log_H

#include "givaro/givbasictype.h"
#include "givaro/giverror.h"
#include "givaro/givarray0.h"
#include "givaro/givzpztypes.h"
#include "givaro/giv_randiter.h"

namespace Givaro {

/*! @brief This class implement the standard arithmetic with Modulo Elements.
 * - The representation of an integer a in Zpz is the value a % p
 * - p max is 16381
 * .
 */

template<>
class ZpzDom<Log16> {
public:
  // ----- Exported Types and constantes
  typedef uint16_t Residu_t;                    // - type to store residue
  enum { size_rep = sizeof(Residu_t) };      // - size of the storage type

  // ----- Representation of Element of the domain ZpzDom:
  typedef int16_t Power_t;
  typedef Power_t Rep;
  typedef int16_t Element;

  // ----- Representation of vector of the Element
  typedef Residu_t* Array;
  typedef const Residu_t* constArray;

   // ----- Constructor /destor
  ZpzDom( Residu_t p = 2 );
  ZpzDom( const ZpzDom<Log16>& F);
  ~ZpzDom();

  int operator==( const ZpzDom<Log16>& BC) const { return _p == BC._p;}
  int operator!=( const ZpzDom<Log16>& BC) const { return _p != BC._p;}

  ZpzDom<Log16>& operator=( const ZpzDom<Log16>& F);

  // ----- Access to the modulus
  Residu_t residu() const;
  Residu_t characteristic() const { return _p;}
  Integer& characteristic( Integer& p) const { return p=_p;}
  Residu_t size() const { return _p;}

  // ----- Convert from Element to int
    int16_t& convert( int16_t& x , const Rep a) const {
        return x = Rep((a >= _p)?0:_tab_rep2value[a]);
    }
    uint16_t& convert( uint16_t& x , const Rep a) const {
        return x = Residu_t((a >= _p)?0:_tab_rep2value[a]);
    }
    unsigned long & convert( unsigned long& x , const Rep a) const {
        return x = ((a >= _p)?0:_tab_rep2value[a]);
    }

    double& convert( double& x , const Rep a)  const {
        return x = (double)((a >= _p)?0:_tab_rep2value[a]);
    }
    long& convert( long& x , const Rep a)  const {
        return x = (long)((a >= _p)?0:_tab_rep2value[a]);
    }
    Integer& convert(Integer& i, const Rep a) const {
        return i = (Integer)((a >= _p)?0:_tab_rep2value[a]);
    }



// initialized by a degree of the generator.
  Rep& init( Rep& r ) const;
  Rep& init( Rep& r, const long a) const;
  Rep& init( Rep& a, const int i) const ;
  Rep& init( Rep& r, const unsigned long a) const;
  Rep& init( Rep& a, const unsigned int i) const ;
  Rep& init( Rep& a, const Integer& i) const ;
  Rep& init( Rep& a, const double i) const;
  Rep& init( Rep& a, const float i) const;

// Specials
  Rep& init( Rep& a, const int16_t i) const ;
  Rep& init( Rep& r, const uint16_t a) const;

  // -- Assignment :  r = a
  Rep& assign (Rep& r, const Rep a) const;
  void assign ( const size_t sz, Array r, constArray a ) const;

  // ----- Misc methods
  int iszero( const Rep a ) const;
  int isone ( const Rep a ) const;
  int isZero( const Rep a ) const;
  int isOne ( const Rep a ) const;
  size_t length ( const Rep a ) const;


  // ----- Equality between two Elements
  int areEqual( const Element& a, const Element& b) const {return a==b;}


  // ----- Operations with reduction: r <- a op b mod p, r <- op a mod p
  Rep& mul (Rep& r, const Rep a, const Rep b) const;
  Rep& div (Rep& r, const Rep a, const Rep b) const;
  Rep& add (Rep& r, const Rep a, const Rep b) const;
  Rep& sub (Rep& r, const Rep a, const Rep b) const;
  Rep& neg (Rep& r, const Rep a) const;
  Rep& inv (Rep& r, const Rep a) const;

  Rep& mulin (Rep& r, const Rep a) const;
  Rep& divin (Rep& r, const Rep a) const;
  Rep& addin (Rep& r, const Rep a) const;
  Rep& subin (Rep& r, const Rep a) const;
  Rep& negin (Rep& r) const;
  Rep& invin (Rep& r) const;


  // ----- Operations with reduction: r <- a op b mod p, r <- op a mod p
  void mul (const size_t sz, Array r, constArray a, constArray b) const;
  void mul (const size_t sz, Array r, constArray a, Rep b) const;

  void div (const size_t sz, Array r, constArray a, constArray b) const;
  void div (const size_t sz, Array r, constArray a, Rep b) const;

  void add (const size_t sz, Array r, constArray a, constArray b) const;
  void add (const size_t sz, Array r, constArray a, Rep b) const;

  void sub (const size_t sz, Array r, constArray a, constArray b) const;
  void sub (const size_t sz, Array r, constArray a, Rep b) const;

  void neg (const size_t sz, Array r, constArray a) const;
  void inv (const size_t sz, Array r, constArray a) const;

  // -- axpy: r <- a * x + y mod p
  Rep& axpy   (Rep& r, const Rep a, const Rep b, const Rep c) const;
  Rep& axpyin (Rep& r, const Rep a, const Rep b) const;
  void axpy
   (const size_t sz, Array r, constArray a, constArray x, constArray c) const;
  void axpyin
   (const size_t sz, Array r, constArray a, constArray x) const;

  // -- axmy: r <- a * x - y mod p
  Rep& axmy   (Rep& r, const Rep a, const Rep b, const Rep c) const;
  void axmy
   (const size_t sz, Array r, constArray a, constArray x, constArray c) const;
  // -- axmyin: r <- a * b - r  mod p
  Rep& axmyin (Rep& r, const Rep a, const Rep b) const;
  // void axmyin (const size_t sz, Array r, constArray a, constArray x) const;

  // -- maxpy: r <- c - a * b mod p
  Rep& maxpy   (Rep& r, const Rep a, const Rep b, const Rep c) const;
  // -- maxpyin: r <- r - a * b mod p
  Rep& maxpyin (Rep& r, const Rep a, const Rep b) const;
  void maxpyin (const size_t sz, Array r, constArray a, constArray x) const;


  // <- \sum_i a[i], return 1 if a.size() ==0,
  Rep& reduceadd ( Rep& r, const size_t sz, constArray a ) const;

  // <- \prod_i a[i], return 1 if a.size() ==0,
  Rep& reducemul ( Rep& r, const size_t sz, constArray a ) const;

  // <- \sum_i a[i] * b[i]
  Rep& dotprod ( Rep& r, const size_t sz, constArray a, constArray b ) const;
  Rep& dotprod ( Rep& r, const int bound, const size_t sz, constArray a, constArray b ) const;

  // ----- a -> r: uint16_t to double
  void i2d ( const size_t sz, double* r, constArray a ) const;

  // ----- a -> r % p: double to uint16_t % p
  void d2i ( const size_t sz, Array r, const double* a ) const;

   // ----- random generators
    template< class RandIter > Rep& random(RandIter&, Rep& r) const ;
    template< class RandIter > Rep& random(RandIter&, Rep& r, long s) const ;
    template< class RandIter > Rep& random(RandIter&, Rep& r, const Rep& b) const ;
    template< class RandIter > Rep& nonzerorandom(RandIter&, Rep& r) const ;
    template< class RandIter > Rep& nonzerorandom(RandIter&, Rep& r, long s) const ;
    template< class RandIter > Rep& nonzerorandom(RandIter&, Rep& r, const Rep& b) const ;

    typedef GIV_randIter< ZpzDom<Std16>, Rep > randIter;


  // --- IO methods
  std::istream& read ( std::istream& s );
  std::ostream& write( std::ostream& s ) const;
  std::istream& read ( std::istream& s, Rep& a ) const;
  std::ostream& write( std::ostream& s, const Rep a ) const;

protected:
  // -- based for modular inverse, d = a*u + b*v
  static int32_t gcdext ( int32_t& u, int32_t& v, const int32_t a, const int32_t b );

protected:
  // -- data representation of the domain:
  Residu_t  _p;  // the modulo
  Residu_t  _pmone;  // _p -1
  Power_t * _tab_value2rep;    // table for convertion
  Residu_t* _tab_rep2value;    // table for convertion
  Power_t* _tab_mul;      // table for mul
  Power_t* _tab_div;      // table for div
  Power_t* _tab_neg;      // table for neg
  Power_t* _tab_addone;   // table for ei+1
  Power_t* _tab_subone;   // table for -(ei+1)
  Power_t* _tab_mone;   // table for ei+1
  Power_t* _tab_pone;   // table for -(ei+1)
  int* numRefs;

  static void Init();
  static void End();
public:
 // ----- Constantes
  const Element zero;
  const Element one;
  const Element mOne;


};

} // namespace Givaro

#include "givaro/givzpz16table1.inl"

#endif // __GIVARO_zpz16log_H