pqc/external/flint-2.4.3/padic/test/t-pow_si.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2011, 2012 Sebastian Pancratz
******************************************************************************/
#include "padic.h"
#include "long_extras.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("pow_si... ");
fflush(stdout);
/* Check aliasing */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
padic_t a, b, c;
slong e;
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_randtest(a, state, ctx);
padic_set(b, a, ctx);
e = z_randint(state, 20);
padic_pow_si(c, b, e, ctx);
padic_pow_si(b, b, e, ctx);
result = (padic_equal(b, c));
if (!result)
{
flint_printf("FAIL (aliasing):\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("e = %wd\n", e);
abort();
}
padic_clear(a);
padic_clear(b);
padic_clear(c);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Compare with multiplication for e >= 0 and val(a) >= 0 */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
padic_t a, b, c;
slong j, e;
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_randtest_int(a, state, ctx);
padic_val(a) = FLINT_ABS(padic_val(a));
e = n_randint(state, 50);
padic_pow_si(b, a, e, ctx);
padic_one(c);
for (j = 0; j < e; j++)
padic_mul(c, c, a, ctx);
result = (padic_equal(b, c));
if (!result)
{
flint_printf("FAIL (cmp with multiplication):\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("e = %wd\n", e);
abort();
}
padic_clear(a);
padic_clear(b);
padic_clear(c);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Compare with fmpq, check precision */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong N, N2;
padic_ctx_t ctx;
padic_t a, b, c;
fmpq_t s, t;
slong e;
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);
fmpq_init(s);
fmpq_init(t);
padic_randtest(a, state, ctx);
e = n_randint(state, 50) + 1;
N2 = N + (e - 1) * padic_val(a);
padic_prec(b) = N2;
padic_prec(c) = N2;
padic_pow_si(b, a, e, ctx);
padic_get_fmpq(s, a, ctx);
fmpq_pow_si(t, s, e);
padic_set_fmpq(c, t, ctx);
result = (padic_equal(b, c));
if (!result)
{
flint_printf("FAIL (cmp with fmpq):\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("s = "), fmpq_print(s), flint_printf("\n");
flint_printf("t = "), fmpq_print(t), flint_printf("\n");
flint_printf("e = %wd\n", e);
abort();
}
padic_clear(a);
padic_clear(b);
padic_clear(c);
fmpq_clear(s);
fmpq_clear(t);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Check precision */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong N_lo, N_hi, N_res;
padic_ctx_t ctx;
padic_t a, b, c, d, t;
slong e;
fmpz_init_set_ui(p, n_randtest_prime(state, 0));
N_lo = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
+ PADIC_TEST_PREC_MIN;
N_hi = N_lo + n_randint(state, 20);
padic_ctx_init(ctx, p, FLINT_MAX(0, N_lo-10), FLINT_MAX(0, N_hi+10), PADIC_SERIES);
padic_init2(a, N_hi);
padic_init2(b, N_hi);
padic_init2(t, N_lo);
padic_randtest(a, state, ctx);
padic_randtest(b, state, ctx);
padic_sub(t, a, b, ctx);
padic_add(b, b, t, ctx);
e = n_randint(state, 50) + 1;
N_res = N_lo + (e - 1) * FLINT_MIN(padic_val(a), padic_val(b));
padic_init2(c, N_res);
padic_init2(d, N_res);
padic_pow_si(c, a, e, ctx);
padic_pow_si(d, b, e, ctx);
result = (padic_equal(c, d));
if (!result)
{
flint_printf("FAIL (cmp with fmpq):\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("e = %wd\n", e);
flint_printf("N_lo = %wd\n", N_lo);
flint_printf("N_hi = %wd\n", N_hi);
flint_printf("N_res = %wd\n", N_res);
abort();
}
padic_clear(a);
padic_clear(b);
padic_clear(c);
padic_clear(d);
padic_clear(t);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}