152 lines
4.6 KiB
C
152 lines
4.6 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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******************************************************************************/
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#include <stdio.h>
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#include "qadic.h"
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#include "ulong_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("exp... ");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong d, N;
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qadic_ctx_t ctx;
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qadic_t a, b, c;
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int ans1, ans2;
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fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
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d = n_randint(state, 10) + 1;
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N = n_randint(state, 50) + 1;
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qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "a", PADIC_SERIES);
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qadic_init2(a, N);
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qadic_init2(b, N);
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qadic_init2(c, N);
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qadic_randtest(a, state, ctx);
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qadic_set(b, a, ctx);
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ans1 = qadic_exp(c, b, ctx);
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ans2 = qadic_exp(b, b, ctx);
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result = ((ans1 == ans2) && (!ans1 || qadic_equal(b, c)));
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if (!result)
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{
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flint_printf("FAIL (alias):\n\n");
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flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
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flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
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flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
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flint_printf("ans1 = %d\n", ans1);
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flint_printf("ans2 = %d\n", ans2);
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abort();
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}
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qadic_clear(a);
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qadic_clear(b);
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qadic_clear(c);
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fmpz_clear(p);
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qadic_ctx_clear(ctx);
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}
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/* Functional equation: exp(a + b) == exp(a) exp(b) */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong deg, N;
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qadic_ctx_t ctx;
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qadic_t a, b, c, d, e, f, g;
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int ans1, ans2, ans3;
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fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
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deg = n_randint(state, 10) + 1;
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N = n_randint(state, 50) + 1;
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qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "a", PADIC_SERIES);
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qadic_init2(a, N);
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qadic_init2(b, N);
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qadic_init2(c, N);
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qadic_init2(d, N);
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qadic_init2(e, N);
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qadic_init2(f, N);
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qadic_init2(g, N);
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qadic_randtest(a, state, ctx);
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qadic_randtest(b, state, ctx);
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qadic_add(c, a, b, ctx);
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ans1 = qadic_exp(d, a, ctx);
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ans2 = qadic_exp(e, b, ctx);
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qadic_mul(f, d, e, ctx);
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ans3 = qadic_exp(g, c, ctx);
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result = (!ans1 || !ans2 || (ans3 && qadic_equal(f, g)));
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if (!result)
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{
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flint_printf("FAIL (functional equation):\n\n");
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flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
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flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
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flint_printf("c = a + b = "), qadic_print_pretty(c, ctx), flint_printf("\n");
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flint_printf("d = exp(a) = "), qadic_print_pretty(d, ctx), flint_printf("\n");
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flint_printf("e = exp(b) = "), qadic_print_pretty(e, ctx), flint_printf("\n");
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flint_printf("f = exp(a) exp(b) = "), qadic_print_pretty(f, ctx), flint_printf("\n");
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flint_printf("g = exp(a + b) = "), qadic_print_pretty(g, ctx), flint_printf("\n");
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abort();
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}
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qadic_clear(a);
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qadic_clear(b);
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qadic_clear(c);
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qadic_clear(d);
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qadic_clear(e);
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qadic_clear(f);
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qadic_clear(g);
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fmpz_clear(p);
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qadic_ctx_clear(ctx);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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