examples/FiniteField/ff_arith.C

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// 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.

 
#include <iostream>
#include <recint/rint.h>
#include <recint/ruint.h>
#include <givaro/modular.h>
#include <givaro/montgomery.h>
#include <givaro/gfq.h>
#include <givaro/gfqext.h>
 
using namespace Givaro;
 
 
 
template<class Field>
void TestField(const Field& F) {
    std::cerr << "Within " ;
    F.write(std::cerr );
    std::cerr  << " : " << std::flush;
 
    typename Field::Element a, b, c, d;
    F.init(a, 7U);
    F.init(b, -29.3);
 
    F.init(c);            // empty constructor
    F.init(d);            // empty constructor
 
    F.add(c, a, b);       // c = a+b
 
    // Separate output writing
    F.write( std::cout, a) << " + " << std::flush;
    F.write( std::cout, b) << " = " << std::flush;
    F.write( std::cerr, c) << std::endl;
 
 
    F.mul(c, a, b);     // c = a*b
    F.axpy(d, a, b, c); // d = a*b + c;
 
    // Writing all outputs in a single command line
    F.write( std::cerr << "Within " ) << " : " << std::flush;
    F.write( F.write( F.write( F.write(
                                       std::cout, c) << " + ", a) << " * ", b) << " = ", d) << std::endl;
 
    {
        typename Field::Element e;
        F.init(e); F.assign(e,d);
        F.maxpy(e, a, b, d); // e = d-a*b
 
        // Writing all outputs in a single command line
        F.write( std::cerr << "Within " ) << " : " << std::flush;
        F.write( F.write( F.write( F.write(
                                           std::cout, d) << " - ", a) << " * ", b) << " = ", e) << std::endl;
    }
 
    {
        typename Field::Element e;
        F.init(e); F.assign(e,d);
        F.maxpyin(e, a, b); // e = d - a*b;
 
        // Writing all outputs in a single command line
        F.write( std::cerr << "Within " ) << " : " << std::flush;
        F.write( F.write( F.write( F.write(
                                           std::cout, d) << " - ", a) << " * ", b) << " = ", e) << std::endl;
    }
 
    {
        typename Field::Element e;
        F.init(e); F.assign(e,d);
        F.axmy(e, a, b, d); // e = a*b -d;
 
        // Writing all outputs in a single command line
        F.write( std::cerr << "Within " ) << " : " << std::flush;
        F.write( F.write( F.write( F.write(
                                           std::cout, a) << " * ", b) << " - ", d) << " = ", e) << std::endl;
    }
 
    {
        typename Field::Element e;
        F.init(e); F.assign(e,d);
        F.maxpyin(e, a, b); // e = d - a*b;
 
        // Writing all outputs in a single command line
        F.write( std::cerr << "Within " ) << " : " << std::flush;
        F.write( F.write( F.write( F.write(
                                           std::cout, d) << " - ", a) << " * ", b) << " = ", e) << std::endl;
    }
 
 
 
    // Four operations
    F.write( F.write( std::cout, a) << " += ",  b) << " is " ;
    F.write( std::cout, F.addin(a, b) ) << "   ;   ";
    F.write( F.write( std::cout, a) << " -= ",  b) << " is ";
    F.write( std::cout, F.subin(a, b) ) << "   ;   ";
    F.write( F.write( std::cout, a) << " *= ",  b) << " is " ;
    F.write( std::cout, F.mulin(a, b) ) << "   ;   ";
    F.write( F.write( std::cout, a) << " /= ",  b) << " is ";
    F.write( std::cout, F.divin(a, b) ) << std::endl;
 
 
    F.init(a,22996);
    F.inv(b,a);
    F.write( F.write( std::cout << "1/", a) << " is ", b) << std::endl;
    F.mul(c,b,a);
    F.write( std::cout << "1 is ", c) << std::endl;
    F.init(a,22996);
    F.init(b,22996);
    F.write( std::cout << "1/", a) << " is ";
    F.invin(a);
    F.write( std::cout, a) << std::endl;
    F.mulin(a,b);
    F.write( std::cout << "1 is ", a) << std::endl;
 
    F.init(a,37403);
    F.inv(b,a);
    F.write( F.write( std::cout << "1/", a) << " is ", b) << std::endl;
    F.mul(c,b,a);
    F.write( std::cout << "1 is ", c) << std::endl;
    F.init(a,37403);
    F.init(b,37403);
    F.write( std::cout << "1/", a) << " is ";
    F.invin(a);
    F.write( std::cout, a) << std::endl;
    F.mulin(a,b);
    F.write( std::cout << "1 is ", a) << std::endl;
 
}
 
extern "C" {
# include <sys/time.h>
# include <sys/resource.h>
}
 
 
int main(int argc, char ** argv) {
 
    // modulo 13 over 16 bits
    Modular<int16_t> C13(13); TestField( C13 );
 
    // modulo 13 over 32 bits
    Modular<int32_t> Z13(13); TestField( Z13 );
 
    // modulo 13 over unsigned 32 bits
    Modular<uint32_t> U13(13); TestField( U13 );
 
#ifdef __USE_Givaro_SIXTYFOUR__
    // modulo 13 over 64 bits
    Modular<int64_t> LL13(13U); TestField( LL13 );
#endif
 
    // modulo 13 fully tabulated
    Modular<Log16> L13(13); TestField( L13 );
 
    // modulo 13 over 32 bits with Montgomery reduction
    Montgomery<int32_t> M13(13); TestField( M13 );
    Montgomery<int32_t> M3(39989); TestField( M3 );
 
    // modulo 13 with primitive root representation
    GFqDom<int> GF13( 13 ); TestField( GF13 );
 
    // modulo 13 over arbitrary size
    Modular<Integer> IntZ13(13); TestField( IntZ13 );
 
    // modulo 13 over fixed size
    Modular<RecInt::rint<7>> rIntZ13(13); TestField( rIntZ13 );
 
    // modulo 13 over arbitrary size
    Modular<RecInt::ruint<7>> ruIntZ13(13); TestField( ruIntZ13 );
 
    // Zech log finite field with 5^4 elements
    GFqDom<int> GF625( 5, 4 ); TestField( GF625 );
 
    // Zech log finite field with 256 elements
    // and prescribed irreducible polynomial
    std::vector< GFqDom<int64_t>::Residu_t > Irred(9);
    Irred[0] = 1; Irred[1] = 1; Irred[2] = 0; Irred[3] = 1;
    Irred[4] = 1; Irred[5] = 0; Irred[6] = 0; Irred[7] = 0;
    Irred[8] = 1;
    GFqDom<int64_t> F256(2,8, Irred); TestField( F256 );
 
    // Zech log finite field with 3^4 elements
    // Using the Q-adic Transform
    GFqExt<int32_t> GF81( 3, 4 ); TestField( GF81 );
 
    // Zech log finite field with 2Mb tables
    struct rusage  tmp1 ;
    getrusage (RUSAGE_SELF, &tmp1) ;
    // user time
    double tim = (double) tmp1.ru_utime.tv_sec + ((double) tmp1.ru_utime.tv_usec)/ ( 1000000.0 ) ;
    ;
    getrusage (RUSAGE_SELF, &tmp1) ;
    tim = (double) tmp1.ru_utime.tv_sec + ((double) tmp1.ru_utime.tv_usec)/ (1000000.0) - tim;
 
    std::cerr << "Initialization took " << tim << " cpu seconds and : " << std::endl;
    std::cerr
    << tmp1.ru_maxrss << " maximum resident set size"<< std::endl
    << tmp1.ru_ixrss << " integral shared memory size"<< std::endl
    << tmp1.ru_idrss << " integral unshared data size"<< std::endl
    << tmp1.ru_isrss << " integral unshared stack size"<< std::endl
    << tmp1.ru_minflt << " page reclaims"<< std::endl
    << tmp1.ru_majflt << " page faults"<< std::endl
    << tmp1.ru_nswap << " swaps"<< std::endl
    << tmp1.ru_inblock << " block input operations"<< std::endl
    << tmp1.ru_oublock << " block output operations"<< std::endl;
 
    return 0;
}
 
/* -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
// vim:sts=4:sw=4:ts=4:et:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s