Givaro
examples/FiniteField/exponentiation.C

NO DOC

// 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 <givaro/givpower.h>
#include <givaro/givzpz.h>
#include <givaro/givgfq.h>

using namespace Givaro;



int main(int argc, char ** argv) {

 {
    ZpzDom<Std32> Z13(13);   // modulo 13 over 32 bits
    ZpzDom<Std32>::Element a, c;
    Z13.init(a, 7);

    long l = 29;
    dom_power(c, a, l, Z13); // c = 7^29 modulo 13 by squaring

    std::cerr << "Within ";
    Z13.write( std::cerr );
    std::cerr << " : " << std::flush;

     // Separate output writing
    Z13.write( std::cout, a) << " ^ " << l << " = " << std::flush;
    Z13.write( std::cerr, c) << std::endl;
 }


 {
     typedef GFqDom<int>::Residu_t TT;
    int Mod = 13; int exponent = 1;
    GFqDom<int> GF13( (TT) Mod, (TT) exponent );  // finite field with 13 elements
    GFqDom<int>::Element a, c;

    GF13.init(a, 7);    // 7 modulo   13

    long l = 29;
    dom_power(c, a, l, GF13); // c = 7^29 modulo 13 by squaring

    // Writing all outputs in a single command line
    GF13.write( std::cerr << "Within " ) << " : " << std::flush;
    GF13.write( GF13.write(
       std::cout, a) << " ^ " << l << " = ", c) << std::endl;

 }

    return 0;
}