+++ /dev/null
-/** @file exam_cra.cpp
- *
- * Test of Chinese remainder algorithm. */
-
-/*
- * GiNaC Copyright (C) 1999-2015 Johannes Gutenberg University Mainz, Germany
- *
- * This program is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 2 of the License, or
- * (at your option) any later version.
- *
- * This program 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 General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
- */
-
-#include "polynomial/cra_garner.h"
-
-#include <cln/integer.h>
-#include <cln/integer_io.h>
-#include <cln/random.h>
-#include <cln/numtheory.h>
-using namespace cln;
-#include <iostream>
-#include <limits>
-#include <map>
-#include <stdexcept>
-#include <vector>
-#include <algorithm>
-using namespace std;
-
-/// Generate a sequences of primes p_i such that \prod_i p_i < limit
-static std::vector<cln::cl_I>
-make_random_moduli(const cln::cl_I& limit);
-
-static std::vector<cln::cl_I>
-calc_residues(const cln::cl_I& x, const std::vector<cln::cl_I>& moduli);
-
-static void dump(const std::vector<cln::cl_I>& v);
-
-/// Make @a n random relatively prime moduli, each < limit, make a
-/// random number x < \prod_{i=0}{n-1}, calculate residues, and
-/// compute x' by chinese remainder algorithm. Check if the result
-/// of computation matches the original value x.
-static void run_test_once(const cln::cl_I& lim)
-{
- std::vector<cln::cl_I> moduli = make_random_moduli(lim);
- cln::cl_I x = random_I(lim) + 1;
-
- if (x > (lim >> 1))
- x = x - lim;
-
- std::vector<cln::cl_I> residues = calc_residues(x, moduli);
- cln::cl_I x_test;
-
- bool error = false;
- try {
- x_test = integer_cra(residues, moduli);
- } catch (std::exception& oops) {
- std::cerr << "Oops: " << oops.what() << std::endl;
- error = true;
- }
-
- if (x != x_test)
- error = true;
-
- if (error) {
- std::cerr << "Expected x = " << x << ", got " <<
- x_test << " instead" << std::endl;
- std::cerr << "moduli = ";
- dump(moduli);
- std::cerr << std::endl;
- std::cerr << "residues = ";
- dump(residues);
- std::cerr << std::endl;
- throw std::logic_error("bug in integer_cra?");
- }
-}
-
-static void run_test(const cln::cl_I& limit, const std::size_t ntimes)
-{
- for (std::size_t i = 0; i < ntimes; ++i)
- run_test_once(limit);
-}
-
-int main(int argc, char** argv)
-{
- typedef std::map<cln::cl_I, std::size_t> map_t;
- map_t the_map;
- // Run 1024 tests with native 32-bit numbers
- the_map[cln::cl_I(std::numeric_limits<int>::max())] = 1024;
-
- // Run 512 tests with native 64-bit integers
- if (sizeof(long) > sizeof(int))
- the_map[cln::cl_I(std::numeric_limits<long>::max())] = 512;
-
- // Run 32 tests with a bit bigger numbers
- the_map[cln::cl_I("987654321098765432109876543210")] = 32;
-
- std::cout << "examining Garner's integer chinese remainder algorithm " << std::flush;
-
- for (map_t::const_iterator i = the_map.begin(); i != the_map.end(); ++i)
- run_test(i->first, i->second);
-
- return 0;
-}
-
-static std::vector<cln::cl_I>
-calc_residues(const cln::cl_I& x, const std::vector<cln::cl_I>& moduli)
-{
- std::vector<cln::cl_I> residues(moduli.size());
- for (std::size_t i = moduli.size(); i-- != 0; )
- residues[i] = mod(x, moduli[i]);
- return residues;
-}
-
-static std::vector<cln::cl_I>
-make_random_moduli(const cln::cl_I& limit)
-{
- std::vector<cln::cl_I> moduli;
- cln::cl_I prod(1);
- cln::cl_I next = random_I(std::min(limit >> 1, cln::cl_I(128)));
- unsigned count = 0;
- do {
- cln::cl_I tmp = nextprobprime(next);
- next = tmp + random_I(cln::cl_I(10)) + 1;
- prod = prod*tmp;
- moduli.push_back(tmp);
- ++count;
- } while (prod < limit || (count < 2));
- return moduli;
-}
-
-static void dump(const std::vector<cln::cl_I>& v)
-{
- std::cerr << "[ ";
- for (std::size_t i = 0; i < v.size(); ++i)
- std::cerr << v[i] << " ";
- std::cerr << "]";
-}