441 lines
13 KiB
C
441 lines
13 KiB
C
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/*=============================================================================
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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) 2011, 2012 Sebastian Pancratz
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******************************************************************************/
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#include "padic.h"
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#include "ulong_extras.h"
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#include "long_extras.h"
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int 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("sqrt... ");
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fflush(stdout);
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/* PRIME p = 2 ***************************************************************/
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/* Check aliasing: a = sqrt(a) */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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int ans1, ans2;
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padic_t a, d;
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fmpz_init_set_ui(p, 2);
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(d, N);
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padic_randtest(a, state, ctx);
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ans1 = padic_sqrt(d, a, ctx);
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ans2 = padic_sqrt(a, a, ctx);
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result = ((ans1 == ans2) && (!ans1 || padic_equal(a, d)));
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if (!result)
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{
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flint_printf("FAIL (aliasing):\n\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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padic_clear(a);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Test random elements */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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int ans;
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padic_t a, b, d;
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fmpz_init_set_ui(p, 2);
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(b, N);
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padic_init2(d, N);
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padic_randtest(a, state, ctx);
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ans = padic_sqrt(b, a, ctx);
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padic_mul(d, b, b, ctx);
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if (ans && padic_val(a) < 0)
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{
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slong N2 = N + padic_val(a);
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padic_t a2, d2;
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padic_init2(a2, N2);
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padic_init2(d2, N2);
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padic_set(a2, a, ctx);
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padic_set(d2, d, ctx);
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result = (padic_equal(a2, d2));
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if (!result)
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{
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flint_printf("FAIL (random elements):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("a2 = "), padic_print(a2, ctx), flint_printf("\n");
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flint_printf("d2 = "), padic_print(d2, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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padic_clear(a2);
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padic_clear(d2);
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}
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else
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{
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result = (!ans || padic_equal(a, d));
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if (!result)
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{
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flint_printf("FAIL (random elements):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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}
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padic_clear(a);
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padic_clear(b);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Test random squares */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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int ans;
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padic_t a, b, c, d;
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fmpz_init_set_ui(p, 2);
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(b, N);
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padic_init2(c, N);
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padic_init2(d, N);
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padic_randtest(b, state, ctx);
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padic_mul(a, b, b, ctx);
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ans = padic_sqrt(c, a, ctx);
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padic_mul(d, c, c, ctx);
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if (ans && padic_val(a) < 0)
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{
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slong N2 = N + padic_val(a);
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padic_t a2, d2;
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padic_init2(a2, N2);
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padic_init2(d2, N2);
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padic_set(a2, a, ctx);
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padic_set(d2, d, ctx);
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result = (padic_equal(a2, d2));
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if (!result)
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{
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flint_printf("FAIL (random elements):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("a2 = "), padic_print(a2, ctx), flint_printf("\n");
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flint_printf("d2 = "), padic_print(d2, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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padic_clear(a2);
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padic_clear(d2);
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}
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else
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{
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result = (ans && padic_equal(a, d));
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if (!result)
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{
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flint_printf("FAIL (random squares):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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}
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padic_clear(a);
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padic_clear(b);
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padic_clear(c);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* PRIME p > 2 ***************************************************************/
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/* Check aliasing: a = sqrt(a) */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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int ans1, ans2;
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padic_t a, d;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(d, N);
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padic_randtest(a, state, ctx);
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ans1 = padic_sqrt(d, a, ctx);
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ans2 = padic_sqrt(a, a, ctx);
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result = ((ans1 == ans2) && (!ans1 || padic_equal(a, d)));
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if (!result)
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{
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flint_printf("FAIL (aliasing):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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padic_clear(a);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Test random elements */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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int ans;
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padic_t a, b, d;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(b, N);
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padic_init2(d, N);
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padic_randtest(a, state, ctx);
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ans = padic_sqrt(b, a, ctx);
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padic_mul(d, b, b, ctx);
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if (ans && padic_val(a) < 0)
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{
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slong N2 = N + padic_val(a);
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padic_t a2, d2;
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padic_init2(a2, N2);
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padic_init2(d2, N2);
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padic_set(a2, a, ctx);
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padic_set(d2, d, ctx);
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result = (padic_equal(a2, d2));
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if (!result)
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{
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flint_printf("FAIL (random elements):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("a2 = "), padic_print(a2, ctx), flint_printf("\n");
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flint_printf("d2 = "), padic_print(d2, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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padic_clear(a2);
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padic_clear(d2);
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}
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else
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{
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result = (!ans || padic_equal(a, d));
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if (!result)
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{
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flint_printf("FAIL (random elements):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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abort();
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}
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}
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padic_clear(a);
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padic_clear(b);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Test random squares */
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for (i = 0; i < 10000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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|
||
|
|
int ans;
|
||
|
|
padic_t a, b, c, d;
|
||
|
|
|
||
|
|
fmpz_init_set_ui(p, n_randtest_prime(state, 0));
|
||
|
|
N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
|
||
|
|
+ PADIC_TEST_PREC_MIN;
|
||
|
|
padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
|
||
|
|
|
||
|
|
padic_init2(a, N);
|
||
|
|
padic_init2(b, N);
|
||
|
|
padic_init2(c, N);
|
||
|
|
padic_init2(d, N);
|
||
|
|
|
||
|
|
padic_randtest(b, state, ctx);
|
||
|
|
padic_mul(a, b, b, ctx);
|
||
|
|
|
||
|
|
ans = padic_sqrt(c, a, ctx);
|
||
|
|
|
||
|
|
padic_mul(d, c, c, ctx);
|
||
|
|
|
||
|
|
if (ans && padic_val(a) < 0)
|
||
|
|
{
|
||
|
|
slong N2 = N + padic_val(a);
|
||
|
|
padic_t a2, d2;
|
||
|
|
|
||
|
|
padic_init2(a2, N2);
|
||
|
|
padic_init2(d2, N2);
|
||
|
|
padic_set(a2, a, ctx);
|
||
|
|
padic_set(d2, d, ctx);
|
||
|
|
|
||
|
|
result = (padic_equal(a2, d2));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (random elements):\n\n");
|
||
|
|
flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("a2 = "), padic_print(a2, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d2 = "), padic_print(d2, ctx), flint_printf("\n");
|
||
|
|
flint_printf("p = "), fmpz_print(p), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
padic_clear(a2);
|
||
|
|
padic_clear(d2);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
result = (ans && padic_equal(a, d));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (random squares):\n\n");
|
||
|
|
flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("p = "), fmpz_print(p), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
padic_clear(a);
|
||
|
|
padic_clear(b);
|
||
|
|
padic_clear(c);
|
||
|
|
padic_clear(d);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
padic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return EXIT_SUCCESS;
|
||
|
|
}
|