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/*=============================================================================
This file is part of FLINT.
FLINT 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.
FLINT 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 FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2012 Sebastian Pancratz
******************************************************************************/
/*
Demo FLINT program to demonstrate some use of the
function fmpz_mod_poly_radix() for radix conversion
over $\mathbf{Z}/n \mathbf{Z}$.
*/
#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz_mod_poly.h"
int main(void)
{
const slong n = 12376;
const slong N = n / 26;
clock_t c0, c1;
double c;
slong i;
fmpz_t a, m;
fmpz_mod_poly_t A, B, r, t;
fmpz_mod_poly_radix_t S;
fmpz_mod_poly_struct **b;
FLINT_TEST_INIT(state);
fmpz_init(a);
fmpz_init(m);
fmpz_set_ui(m, 17);
fmpz_pow_ui(m, m, 26);
fmpz_mod_poly_init(A, m);
fmpz_mod_poly_init(B, m);
fmpz_mod_poly_init(r, m);
fmpz_mod_poly_init(t, m);
fmpz_mod_poly_set_coeff_ui(A, 3, 5);
fmpz_mod_poly_set_coeff_ui(A, 4, 4);
fmpz_mod_poly_set_coeff_ui(B, 0, 1);
fmpz_mod_poly_set_coeff_ui(B, 2, 1);
fmpz_mod_poly_set_coeff_ui(B, 3, 5);
fmpz_mod_poly_set_coeff_ui(B, 4, 1);
fmpz_mod_poly_set_coeff_ui(B, 5, 5);
fmpz_mod_poly_set_coeff_ui(B, 8, 8);
fmpz_mod_poly_set_coeff_ui(B, 9, 8);
fmpz_mod_poly_set_coeff_ui(B, 10, 5);
fmpz_mod_poly_set_coeff_ui(B, 12, 6);
fmpz_mod_poly_set_coeff_ui(B, 13, 1);
fmpz_mod_poly_pow(r, A, 3);
fmpz_set_ui(a, 4);
fmpz_mod_poly_scalar_mul_fmpz(r, r, a);
fmpz_mod_poly_pow(t, B, 2);
fmpz_set_ui(a, 27);
fmpz_mod_poly_scalar_mul_fmpz(t, t, a);
fmpz_mod_poly_add(r, r, t);
b = flint_malloc((N + 1) * sizeof(fmpz_mod_poly_struct *));
for (i = 0; i <= N; i++)
{
b[i] = flint_malloc(sizeof(fmpz_mod_poly_struct));
fmpz_mod_poly_init(b[i], m);
}
fmpz_mod_poly_randtest(t, state, n + 1);
flint_printf("Radix conversion\n");
flint_printf("----------------\n");
flint_printf(" Degree of the radix: %wd\n", fmpz_mod_poly_degree(r));
flint_printf(" Bit size of the modulus: %wd\n", (slong) fmpz_bits(fmpz_mod_poly_modulus(r)));
flint_printf(" Degree of the input: %wd\n", fmpz_mod_poly_degree(t));
c0 = clock();
fmpz_mod_poly_radix_init(S, r, n + 1);
c1 = clock();
c = (double) (c1 - c0) / CLOCKS_PER_SEC;
flint_printf(" Precomputation: %fs\n", c);
c0 = clock();
fmpz_mod_poly_radix(b, t, S);
c1 = clock();
c = (double) (c1 - c0) / CLOCKS_PER_SEC;
flint_printf(" Conversion: %fs\n", c);
fmpz_clear(a);
fmpz_clear(m);
fmpz_mod_poly_clear(A);
fmpz_mod_poly_clear(B);
fmpz_mod_poly_clear(r);
fmpz_mod_poly_clear(t);
fmpz_mod_poly_radix_clear(S);
for (i = 0; i <= N; i++)
{
fmpz_mod_poly_clear(b[i]);
flint_free(b[i]);
}
flint_free(b);
flint_randclear(state);
return EXIT_SUCCESS;
}
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