pqc/external/flint-2.4.3/padic/test/t-sqrt.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 "ulong_extras.h"
#include "long_extras.h"
int main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("sqrt... ");
fflush(stdout);
/* PRIME p = 2 ***************************************************************/
/* Check aliasing: a = sqrt(a) */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
int ans1, ans2;
padic_t a, d;
fmpz_init_set_ui(p, 2);
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(d, N);
padic_randtest(a, state, ctx);
ans1 = padic_sqrt(d, a, ctx);
ans2 = padic_sqrt(a, a, ctx);
result = ((ans1 == ans2) && (!ans1 || padic_equal(a, d)));
if (!result)
{
flint_printf("FAIL (aliasing):\n\n");
flint_printf("p = "), fmpz_print(p), flint_printf("\n");
flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
abort();
}
padic_clear(a);
padic_clear(d);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Test random elements */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
int ans;
padic_t a, b, d;
fmpz_init_set_ui(p, 2);
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(d, N);
padic_randtest(a, state, ctx);
ans = padic_sqrt(b, a, ctx);
padic_mul(d, b, b, 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("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 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("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(d);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Test random squares */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
int ans;
padic_t a, b, c, d;
fmpz_init_set_ui(p, 2);
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);
}
/* PRIME p > 2 ***************************************************************/
/* Check aliasing: a = sqrt(a) */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
int ans1, ans2;
padic_t a, 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(d, N);
padic_randtest(a, state, ctx);
ans1 = padic_sqrt(d, a, ctx);
ans2 = padic_sqrt(a, a, ctx);
result = ((ans1 == ans2) && (!ans1 || padic_equal(a, d)));
if (!result)
{
flint_printf("FAIL (aliasing):\n\n");
flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
abort();
}
padic_clear(a);
padic_clear(d);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Test random elements */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
int ans;
padic_t a, b, 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(d, N);
padic_randtest(a, state, ctx);
ans = padic_sqrt(b, a, ctx);
padic_mul(d, b, b, 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("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 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("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(d);
fmpz_clear(p);
padic_ctx_clear(ctx);
}
/* Test random squares */
for (i = 0; i < 10000; i++)
{
fmpz_t p;
slong N;
padic_ctx_t ctx;
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;
}