724 lines
22 KiB
C
724 lines
22 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) 2012 Sebastian Pancratz
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "qadic.h"
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#include "ulong_extras.h"
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#include "long_extras.h"
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extern int
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_artin_schreier_preimage(fmpz *rop, const fmpz *op, slong len,
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const fmpz *a, const slong *j, slong lena);
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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 Artin Schreier preimages */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p = {WORD(2)};
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slong d;
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qadic_ctx_t ctx;
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int ans;
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qadic_t a, b, c;
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d = n_randint(state, 10) + 1;
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qadic_ctx_init_conway(ctx, p, d, 1, 1, "X", PADIC_SERIES);
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qadic_init2(a, 1);
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qadic_init2(b, 1);
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qadic_init2(c, 1);
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qadic_randtest_val(a, state, 0, ctx);
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padic_poly_fit_length(b, d);
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ans = _artin_schreier_preimage(b->coeffs, a->coeffs, a->length,
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ctx->a, ctx->j, ctx->len);
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b->val = 0;
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_padic_poly_set_length(b, d);
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_padic_poly_normalise(b);
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if (ans)
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{
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qadic_mul(c, b, b, ctx);
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qadic_add(c, c, b, ctx);
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result = qadic_equal(a, c);
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if (!result)
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{
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flint_printf("FAIL (Artin Schreier preimages):\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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qadic_ctx_print(ctx);
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abort();
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}
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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_ctx_clear(ctx);
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}
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/* Check aliasing: a = sqrt(a) */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p = {WORD(2)};
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slong d, N;
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qadic_ctx_t ctx;
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int ans1, ans2;
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qadic_t a, b, c;
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d = n_randint(state, 10) + 1;
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N = z_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), "X", 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(c, a, ctx);
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ans1 = qadic_sqrt(b, a, ctx);
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ans2 = qadic_sqrt(a, a, ctx);
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result = ((ans1 == ans2) && (!ans1 || qadic_equal(a, b)));
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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 = "), 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,ans2 = %d,%d\n", ans1, ans2);
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qadic_ctx_print(ctx);
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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_ctx_clear(ctx);
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}
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/* Test random squares over finite fields */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p = {WORD(2)};
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slong deg, N;
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qadic_ctx_t ctx;
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int ans;
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qadic_t a, b, c;
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deg = n_randint(state, 10) + 1;
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N = 1;
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qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", 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_val(b, state, 0, ctx);
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qadic_mul(a, b, b, ctx);
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ans = qadic_sqrt(c, a, ctx);
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if (ans)
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{
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qadic_t d, e;
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qadic_init2(d, N + qadic_val(a)/2);
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qadic_init2(e, N + qadic_val(a)/2);
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qadic_mul(d, c, c, ctx);
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qadic_set(e, a, ctx);
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result = (qadic_equal(d, e));
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if (!result)
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{
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flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\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("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
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flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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flint_printf("N = %wd\n", N);
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flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
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qadic_ctx_print(ctx);
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abort();
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}
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qadic_clear(d);
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qadic_clear(e);
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}
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/* there is no reason for that to work */
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/*else
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{
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flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\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("ans = %d\n", ans);
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qadic_ctx_print(ctx);
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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_ctx_clear(ctx);
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}
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/* Test random elements over finite fields */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p = {WORD(2)};
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slong d, N;
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qadic_ctx_t ctx;
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int ans;
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qadic_t a, b;
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d = n_randint(state, 10) + 1;
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N = 1;
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qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
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qadic_init2(a, N);
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qadic_init2(b, N);
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qadic_randtest_val(a, state, 0, ctx);
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ans = qadic_sqrt(b, a, ctx);
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if (ans)
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{
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qadic_t c, d;
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qadic_init2(c, N + qadic_val(a)/2);
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qadic_init2(d, N + qadic_val(a)/2);
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qadic_mul(c, b, b, ctx);
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qadic_set(d, a, ctx);
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result = (qadic_equal(c, 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 = "), 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("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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flint_printf("N = %wd\n", N);
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flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
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qadic_ctx_print(ctx);
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abort();
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}
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qadic_clear(c);
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qadic_clear(d);
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}
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qadic_clear(a);
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qadic_clear(b);
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qadic_ctx_clear(ctx);
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}
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/* Test random squares */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p = {WORD(2)};
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slong deg, N;
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qadic_ctx_t ctx;
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int ans;
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qadic_t a, b, c;
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deg = n_randint(state, 10) + 1;
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/* N >= 3 */
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N = n_randint(state, 50) + 3;
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qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", 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_val(b, state, 0, ctx);
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qadic_randtest_int(b, state, ctx);
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qadic_mul(a, b, b, ctx);
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ans = qadic_sqrt(c, a, ctx);
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if (ans)
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{
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qadic_t d, e, u, v, w;
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qadic_init2(d, N + qadic_val(a)/2);
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qadic_init2(e, N + qadic_val(a)/2);
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qadic_init2(u, N);
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qadic_init2(v, N + qadic_val(a)/2);
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qadic_init2(w, N + qadic_val(a)/2);
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qadic_mul(d, c, c, ctx);
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qadic_set(e, a, ctx);
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result = (qadic_equal(d, e));
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if (!result)
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{
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flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\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("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
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flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
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flint_printf("ans = %d\n", ans);
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flint_printf("N = %wd\n", N);
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flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
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qadic_ctx_print(ctx);
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abort();
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}
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qadic_clear(d);
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qadic_clear(e);
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}
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else
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{
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if (N - qadic_val(a) >= 3)
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{
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flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\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("ans = %d\n", ans);
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flint_printf("N = %wd\n", N);
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flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
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qadic_ctx_print(ctx);
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abort();
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}
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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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|
||
|
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/* Test random elements */
|
||
|
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for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p = {WORD(2)};
|
||
|
|
slong d, N;
|
||
|
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qadic_ctx_t ctx;
|
||
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|
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int ans;
|
||
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qadic_t a, b;
|
||
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d = n_randint(state, 10) + 1;
|
||
|
|
N = z_randint(state, 50) + 1;
|
||
|
|
|
||
|
|
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
|
||
|
|
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
|
||
|
|
qadic_randtest(a, state, ctx);
|
||
|
|
|
||
|
|
ans = qadic_sqrt(b, a, ctx);
|
||
|
|
if (ans)
|
||
|
|
{
|
||
|
|
qadic_t c, d;
|
||
|
|
qadic_init2(c, N + qadic_val(a)/2);
|
||
|
|
qadic_init2(d, N + qadic_val(a)/2);
|
||
|
|
|
||
|
|
qadic_mul(c, b, b, ctx);
|
||
|
|
qadic_set(d, a, ctx);
|
||
|
|
|
||
|
|
result = (qadic_equal(c, d));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (random elements):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
flint_printf("N = %wd\n", N);
|
||
|
|
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(c);
|
||
|
|
qadic_clear(d);
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* PRIME p != 2 **************************************************************/
|
||
|
|
|
||
|
|
/* Check aliasing: a = sqrt(a) */
|
||
|
|
for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p;
|
||
|
|
slong d, N, q;
|
||
|
|
qadic_ctx_t ctx;
|
||
|
|
|
||
|
|
int ans1, ans2;
|
||
|
|
qadic_t a, b, c;
|
||
|
|
|
||
|
|
q = 2;
|
||
|
|
while (q == 2)
|
||
|
|
q = n_randprime(state, 2 + n_randint(state, 3), 1);
|
||
|
|
fmpz_init_set_ui(p, q);
|
||
|
|
d = n_randint(state, 10) + 1;
|
||
|
|
N = z_randint(state, 50) + 1;
|
||
|
|
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
|
||
|
|
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
qadic_init2(c, N);
|
||
|
|
|
||
|
|
qadic_randtest(a, state, ctx);
|
||
|
|
qadic_set(c, a, ctx);
|
||
|
|
|
||
|
|
ans1 = qadic_sqrt(b, a, ctx);
|
||
|
|
ans2 = qadic_sqrt(a, a, ctx);
|
||
|
|
|
||
|
|
result = ((ans1 == ans2) && (!ans1 || qadic_equal(a, b)));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (aliasing):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans1,ans2 = %d,%d\n", ans1, ans2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test random squares over finite fields */
|
||
|
|
for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p;
|
||
|
|
slong deg, N, q;
|
||
|
|
qadic_ctx_t ctx;
|
||
|
|
|
||
|
|
int ans;
|
||
|
|
qadic_t a, b, c;
|
||
|
|
|
||
|
|
q = 2;
|
||
|
|
while (q == 2)
|
||
|
|
q = n_randprime(state, 2 + n_randint(state, 3), 1);
|
||
|
|
fmpz_init_set_ui(p, q);
|
||
|
|
deg = n_randint(state, 10) + 1;
|
||
|
|
N = 1;
|
||
|
|
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
|
||
|
|
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
qadic_init2(c, N);
|
||
|
|
|
||
|
|
qadic_randtest_val(b, state, 0, ctx);
|
||
|
|
qadic_mul(a, b, b, ctx);
|
||
|
|
|
||
|
|
ans = qadic_sqrt(c, a, ctx);
|
||
|
|
if (ans)
|
||
|
|
{
|
||
|
|
qadic_t d, e;
|
||
|
|
qadic_init2(d, N + qadic_val(a)/2);
|
||
|
|
qadic_init2(e, N + qadic_val(a)/2);
|
||
|
|
|
||
|
|
qadic_mul(d, c, c, ctx);
|
||
|
|
qadic_set(e, a, ctx);
|
||
|
|
|
||
|
|
result = (qadic_equal(d, e));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
flint_printf("N = %wd\n", N);
|
||
|
|
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(d);
|
||
|
|
qadic_clear(e);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
qadic_clear(c);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test random elements over finite fields */
|
||
|
|
for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p;
|
||
|
|
slong d, N, q;
|
||
|
|
qadic_ctx_t ctx;
|
||
|
|
|
||
|
|
int ans;
|
||
|
|
qadic_t a, b;
|
||
|
|
|
||
|
|
q = 2;
|
||
|
|
while (q == 2)
|
||
|
|
q = n_randprime(state, 2 + n_randint(state, 3), 1);
|
||
|
|
fmpz_init_set_ui(p, q);
|
||
|
|
d = n_randint(state, 10) + 1;
|
||
|
|
N = 1;
|
||
|
|
|
||
|
|
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
|
||
|
|
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
|
||
|
|
qadic_randtest_val(a, state, 0, ctx);
|
||
|
|
|
||
|
|
ans = qadic_sqrt(b, a, ctx);
|
||
|
|
if (ans)
|
||
|
|
{
|
||
|
|
qadic_t c, d;
|
||
|
|
qadic_init2(c, N + qadic_val(a)/2);
|
||
|
|
qadic_init2(d, N + qadic_val(a)/2);
|
||
|
|
|
||
|
|
qadic_mul(c, b, b, ctx);
|
||
|
|
qadic_set(d, a, ctx);
|
||
|
|
|
||
|
|
result = (qadic_equal(c, d));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (random elements):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
flint_printf("N = %wd\n", N);
|
||
|
|
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(c);
|
||
|
|
qadic_clear(d);
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test random squares */
|
||
|
|
for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p;
|
||
|
|
slong deg, N, q;
|
||
|
|
qadic_ctx_t ctx;
|
||
|
|
|
||
|
|
int ans;
|
||
|
|
qadic_t a, b, c;
|
||
|
|
|
||
|
|
q = 2;
|
||
|
|
while (q == 2)
|
||
|
|
q = n_randprime(state, 2 + n_randint(state, 3), 1);
|
||
|
|
fmpz_init_set_ui(p, q);
|
||
|
|
deg = n_randint(state, 10) + 1;
|
||
|
|
N = z_randint(state, 50) + 1;
|
||
|
|
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
qadic_init2(c, N);
|
||
|
|
|
||
|
|
qadic_randtest_val(b, state, 0, ctx); /* XXX */
|
||
|
|
qadic_mul(a, b, b, ctx);
|
||
|
|
|
||
|
|
ans = qadic_sqrt(c, a, ctx);
|
||
|
|
if (ans)
|
||
|
|
{
|
||
|
|
qadic_t d, e;
|
||
|
|
qadic_init2(d, N + qadic_val(a)/2);
|
||
|
|
qadic_init2(e, N + qadic_val(a)/2);
|
||
|
|
|
||
|
|
qadic_mul(d, c, c, ctx);
|
||
|
|
qadic_set(e, a, ctx);
|
||
|
|
|
||
|
|
result = (qadic_equal(d, e));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
flint_printf("N = %wd\n", N);
|
||
|
|
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(d);
|
||
|
|
qadic_clear(e);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
qadic_clear(c);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test random elements */
|
||
|
|
for (i = 0; i < 2000; i++)
|
||
|
|
{
|
||
|
|
fmpz_t p;
|
||
|
|
slong d, N, q;
|
||
|
|
qadic_ctx_t ctx;
|
||
|
|
|
||
|
|
int ans;
|
||
|
|
qadic_t a, b;
|
||
|
|
|
||
|
|
q = 2;
|
||
|
|
while (q == 2)
|
||
|
|
q = n_randprime(state, 2 + n_randint(state, 3), 1);
|
||
|
|
fmpz_init_set_ui(p, q);
|
||
|
|
d = n_randint(state, 10) + 1;
|
||
|
|
N = z_randint(state, 50) + 1;
|
||
|
|
|
||
|
|
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
|
||
|
|
|
||
|
|
qadic_init2(a, N);
|
||
|
|
qadic_init2(b, N);
|
||
|
|
|
||
|
|
qadic_randtest(a, state, ctx);
|
||
|
|
|
||
|
|
ans = qadic_sqrt(b, a, ctx);
|
||
|
|
if (ans)
|
||
|
|
{
|
||
|
|
qadic_t c, d;
|
||
|
|
qadic_init2(c, N + qadic_val(a)/2);
|
||
|
|
qadic_init2(d, N + qadic_val(a)/2);
|
||
|
|
|
||
|
|
qadic_mul(c, b, b, ctx);
|
||
|
|
qadic_set(d, a, ctx);
|
||
|
|
|
||
|
|
result = (qadic_equal(c, d));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (random elements):\n\n");
|
||
|
|
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
|
||
|
|
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
|
||
|
|
flint_printf("ans = %d\n", ans);
|
||
|
|
flint_printf("N = %wd\n", N);
|
||
|
|
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
|
||
|
|
qadic_ctx_print(ctx);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(c);
|
||
|
|
qadic_clear(d);
|
||
|
|
}
|
||
|
|
|
||
|
|
qadic_clear(a);
|
||
|
|
qadic_clear(b);
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
qadic_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return EXIT_SUCCESS;
|
||
|
|
}
|
||
|
|
|