95 lines
2.3 KiB
C
95 lines
2.3 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) 2010 Fredrik Johansson
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "flint.h"
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#include "fmpz_poly.h"
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#include "fmpz.h"
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#include "arith.h"
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#include "ulong_extras.h"
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void fmpz_sigma_naive(fmpz_t x, ulong n, ulong k)
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{
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slong i = 0;
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fmpz_t t;
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fmpz_poly_t p;
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fmpz_init(t);
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fmpz_poly_init(p);
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fmpz_set_ui(t, n);
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arith_divisors(p, t);
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fmpz_zero(x);
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for (i = 0; i < p->length; i++)
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{
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fmpz_poly_get_coeff_fmpz(t, p, i);
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fmpz_pow_ui(t, t, k);
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fmpz_add(x, x, t);
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}
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fmpz_clear(t);
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fmpz_poly_clear(p);
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}
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int main(void)
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{
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fmpz_t m, a, b;
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slong n, k;
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FLINT_TEST_INIT(state);
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flint_printf("divisor_sigma....");
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fflush(stdout);
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fmpz_init(a);
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fmpz_init(b);
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fmpz_init(m);
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for (n = 0; n < 5000; n++)
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{
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for (k = 0; k < 10; k++)
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{
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fmpz_set_ui(m, n);
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arith_divisor_sigma(a, m, k);
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fmpz_sigma_naive(b, n, k);
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if (!fmpz_equal(a, b))
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{
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flint_printf("FAIL:\n");
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flint_printf("wrong value for n=%wd, k=%wd\n", n, k);
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abort();
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}
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}
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}
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fmpz_clear(a);
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fmpz_clear(b);
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fmpz_clear(m);
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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