74 lines
2.2 KiB
C++
74 lines
2.2 KiB
C++
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Fredrik Johansson
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Copyright (C) 2013 Tom Bachmann (C++ adaptation)
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******************************************************************************/
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/*
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Demo FLINT program for balanced multimodular reduction and
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reconstruction using the Chinese Remainder Theorem.
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*/
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#include <iostream>
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#include <vector>
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#include "fmpzxx.h"
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#include "ulong_extras.h"
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using namespace flint;
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int main(int argc, char* argv[])
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{
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if (argc != 3)
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{
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std::cerr << "Syntax: crt <integer> <num_primes>\n";
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return 1;
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}
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slong num_primes = atoi(argv[2]);
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if (num_primes < 1)
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{
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std::cerr << "Requires num_primes >= 1\n";
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return 2;
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}
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fmpzxx x(argv[1]);
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std::vector<mp_limb_t> primes(num_primes), residues(num_primes);
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primes[0] = 2;
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for (unsigned i = 1; i < num_primes; i++)
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primes[i] = n_nextprime(primes[i-1], 0);
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fmpz_combxx comb(primes);
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multi_mod(residues, x, comb);
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for (unsigned i = 0; i < num_primes; i++)
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std::cout << "residue mod " << primes[i]
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<< " = " << residues[i] << '\n';
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std::cout << "reconstruction = " << multi_CRT(residues, comb, true)
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<< '\n';
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return 0;
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}
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