mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
104 lines
3.2 KiB
C
104 lines
3.2 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB 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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ARB 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 ARB; 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, 2013 Fredrik Johansson
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******************************************************************************/
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#include "acb.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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flint_printf("pow_fmpz....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 5000; iter++)
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{
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acb_t a, b, c, d;
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fmpz_t e1, e2, e3;
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slong prec1, prec2;
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prec1 = 2 + n_randint(state, 1000);
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prec2 = prec1 + 30;
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acb_init(a);
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acb_init(b);
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acb_init(c);
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acb_init(d);
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fmpz_init(e1);
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fmpz_init(e2);
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fmpz_init(e3);
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acb_randtest(a, state, 1 + n_randint(state, 1000), 200);
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acb_randtest(b, state, 1 + n_randint(state, 1000), 200);
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fmpz_randtest(e1, state, 200);
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fmpz_randtest(e2, state, 200);
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acb_pow_fmpz(b, a, e1, prec1);
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acb_pow_fmpz(c, a, e1, prec2);
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if (!acb_overlaps(b, c))
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{
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flint_printf("FAIL: overlap\n\n");
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flint_printf("a = "); acb_print(a); flint_printf("\n\n");
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flint_printf("b = "); acb_print(b); flint_printf("\n\n");
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flint_printf("c = "); acb_print(c); flint_printf("\n\n");
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flint_printf("e1 = "); fmpz_print(e1); flint_printf("\n\n");
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abort();
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}
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/* check a^(e1+e2) = a^e1*a^e2 */
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acb_pow_fmpz(c, a, e2, prec1);
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acb_mul(d, b, c, prec1);
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fmpz_add(e3, e1, e2);
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acb_pow_fmpz(c, a, e3, prec1);
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if (!acb_overlaps(c, d))
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{
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flint_printf("FAIL: functional equation\n\n");
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flint_printf("a = "); acb_print(a); flint_printf("\n\n");
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flint_printf("b = "); acb_print(b); flint_printf("\n\n");
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flint_printf("c = "); acb_print(c); flint_printf("\n\n");
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flint_printf("d = "); acb_print(d); flint_printf("\n\n");
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flint_printf("e1 = "); fmpz_print(e1); flint_printf("\n\n");
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flint_printf("e2 = "); fmpz_print(e2); flint_printf("\n\n");
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abort();
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}
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acb_clear(a);
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acb_clear(b);
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acb_clear(c);
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acb_clear(d);
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fmpz_clear(e1);
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fmpz_clear(e2);
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fmpz_clear(e3);
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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