95 lines
2.7 KiB
C++
95 lines
2.7 KiB
C++
/*=============================================================================
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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) 2012 Sebastian Pancratz
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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 to demonstrate some use of the
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function fmpz_mod_poly_radix() for radix conversion
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over $\mathbf{Z}/n \mathbf{Z}$.
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*/
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#include <cstdio>
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#include <ctime>
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#include "fmpz_mod_polyxx.h"
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using namespace std;
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using namespace flint;
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int main(void)
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{
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const slong n = 12376;
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const slong N = n / 26;
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frandxx state;
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fmpzxx m(17);
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m = m.pow(26u);
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fmpz_mod_polyxx A(m), B(m);
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A.set_coeff(3, 5);
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A.set_coeff(4, 4);
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B.set_coeff(0, 1);
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B.set_coeff(2, 1);
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B.set_coeff(3, 5);
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B.set_coeff(4, 1);
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B.set_coeff(5, 5);
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B.set_coeff(8, 8);
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B.set_coeff(9, 8);
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B.set_coeff(10, 5);
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B.set_coeff(12, 6);
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B.set_coeff(13, 1);
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fmpz_mod_polyxx r(A.pow(3u) * fmpzxx(4) + B.pow(2u) * fmpzxx(27));
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fmpz_mod_poly_vecxx b(N + 1, m);
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fmpz_mod_polyxx t = fmpz_mod_polyxx::randtest(m, state, n + 1);
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flint_printf("Radix conversion\n");
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flint_printf("----------------\n");
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flint_printf(" Degree of the radix: %wd\n", r.degree());
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flint_printf(" Bit size of the modulus: %wd\n", (slong) bits(r.modulus()));
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flint_printf(" Degree of the input: %wd\n", t.degree());
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clock_t c0 = clock();
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fmpz_mod_poly_radixxx S(r, n + 1);
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clock_t c1 = clock();
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double c = (double) (c1 - c0) / CLOCKS_PER_SEC;
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flint_printf(" Precomputation: %fs\n", c);
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c0 = clock();
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b = t.radix(S);
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c1 = clock();
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c = (double) (c1 - c0) / CLOCKS_PER_SEC;
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flint_printf(" Conversion: %fs\n", c);
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return 0;
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}
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