258 lines
7.3 KiB
C
258 lines
7.3 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 "long_extras.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("pow_si... ");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 2000; 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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padic_t a, b, c;
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slong e;
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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(c, N);
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padic_randtest(a, state, ctx);
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padic_set(b, a, ctx);
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e = z_randint(state, 20);
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padic_pow_si(c, b, e, ctx);
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padic_pow_si(b, b, e, ctx);
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result = (padic_equal(b, c));
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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("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("e = %wd\n", e);
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abort();
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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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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Compare with multiplication for e >= 0 and val(a) >= 0 */
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for (i = 0; i < 2000; 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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padic_t a, b, c;
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slong j, e;
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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(c, N);
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padic_randtest_int(a, state, ctx);
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padic_val(a) = FLINT_ABS(padic_val(a));
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e = n_randint(state, 50);
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padic_pow_si(b, a, e, ctx);
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padic_one(c);
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for (j = 0; j < e; j++)
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padic_mul(c, c, a, ctx);
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result = (padic_equal(b, c));
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if (!result)
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{
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flint_printf("FAIL (cmp with multiplication):\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("e = %wd\n", e);
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abort();
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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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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Compare with fmpq, check precision */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p;
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slong N, N2;
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padic_ctx_t ctx;
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padic_t a, b, c;
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fmpq_t s, t;
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slong e;
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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(c, N);
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fmpq_init(s);
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fmpq_init(t);
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padic_randtest(a, state, ctx);
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e = n_randint(state, 50) + 1;
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N2 = N + (e - 1) * padic_val(a);
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padic_prec(b) = N2;
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padic_prec(c) = N2;
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padic_pow_si(b, a, e, ctx);
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padic_get_fmpq(s, a, ctx);
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fmpq_pow_si(t, s, e);
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padic_set_fmpq(c, t, ctx);
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result = (padic_equal(b, c));
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if (!result)
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{
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flint_printf("FAIL (cmp with fmpq):\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("s = "), fmpq_print(s), flint_printf("\n");
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flint_printf("t = "), fmpq_print(t), flint_printf("\n");
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flint_printf("e = %wd\n", e);
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abort();
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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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fmpq_clear(s);
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fmpq_clear(t);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Check precision */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p;
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slong N_lo, N_hi, N_res;
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padic_ctx_t ctx;
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padic_t a, b, c, d, t;
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slong e;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N_lo = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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N_hi = N_lo + n_randint(state, 20);
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padic_ctx_init(ctx, p, FLINT_MAX(0, N_lo-10), FLINT_MAX(0, N_hi+10), PADIC_SERIES);
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padic_init2(a, N_hi);
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padic_init2(b, N_hi);
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padic_init2(t, N_lo);
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padic_randtest(a, state, ctx);
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padic_randtest(b, state, ctx);
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padic_sub(t, a, b, ctx);
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padic_add(b, b, t, ctx);
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e = n_randint(state, 50) + 1;
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N_res = N_lo + (e - 1) * FLINT_MIN(padic_val(a), padic_val(b));
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padic_init2(c, N_res);
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padic_init2(d, N_res);
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padic_pow_si(c, a, e, ctx);
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padic_pow_si(d, b, e, ctx);
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result = (padic_equal(c, d));
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if (!result)
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{
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flint_printf("FAIL (cmp with fmpq):\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("e = %wd\n", e);
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flint_printf("N_lo = %wd\n", N_lo);
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flint_printf("N_hi = %wd\n", N_hi);
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flint_printf("N_res = %wd\n", N_res);
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abort();
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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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padic_clear(t);
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fmpz_clear(p);
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padic_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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