arb/fmprb/test/t-mul.c
2013-08-06 16:32:37 +02:00

286 lines
8.4 KiB
C

/*=============================================================================
This file is part of ARB.
ARB 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.
ARB 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 ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2012 Fredrik Johansson
******************************************************************************/
#include "fmprb.h"
int
fmpr_close(const fmpr_t a, const fmpr_t b)
{
fmpr_t t;
int res1, res2;
fmpr_init(t);
fmpr_mul_ui(t, b, 257, FMPRB_RAD_PREC, FMPR_RND_UP);
fmpr_mul_2exp_si(t, t, -8);
res1 = fmpr_cmp(a, t) <= 0;
fmpr_mul_ui(t, a, 257, FMPRB_RAD_PREC, FMPR_RND_UP);
fmpr_mul_2exp_si(t, t, -8);
res2 = fmpr_cmp(b, t) <= 0;
fmpr_clear(t);
return res1 && res2;
}
int main()
{
long iter, iter2;
flint_rand_t state;
printf("mul....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b, c;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(c, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmprb_mul(c, a, b, 2 + n_randint(state, 200));
fmpq_mul(z, x, y);
if (!fmprb_contains_fmpq(c, z))
{
printf("FAIL: containment\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("c = "); fmprb_print(c); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and a */
for (iter = 0; iter < 10000; iter++)
{
fmprb_t a, b;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmprb_mul(a, a, b, 2 + n_randint(state, 200));
fmpq_mul(z, x, y);
if (!fmprb_contains_fmpq(a, z))
{
printf("FAIL: aliasing (c, a)\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and b */
for (iter = 0; iter < 10000; iter++)
{
fmprb_t a, b;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmprb_mul(b, a, b, 2 + n_randint(state, 200));
fmpq_mul(z, x, y);
if (!fmprb_contains_fmpq(b, z))
{
printf("FAIL: aliasing (c, b)\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* main test */
for (iter = 0; iter < 10000; iter++)
{
fmprb_t x, y, z, v;
long prec;
fmprb_init(x);
fmprb_init(y);
fmprb_init(z);
fmprb_init(v);
for (iter2 = 0; iter2 < 100; iter2++)
{
fmprb_randtest_special(x, state, n_randint(state,2) ? 2000 : 200, 200);
fmprb_randtest_special(y, state, n_randint(state,2) ? 2000 : 200, 200);
prec = 2 + n_randint(state, 2000);
switch (n_randint(state, 5))
{
case 0:
fmprb_mul(z, x, y, prec);
fmprb_mul_naive(v, x, y, prec);
if (!fmpr_equal(fmprb_midref(z), fmprb_midref(v))
|| !fmpr_close(fmprb_radref(z), fmprb_radref(v)))
{
printf("FAIL!\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("y = "); fmprb_print(y); printf("\n\n");
printf("z = "); fmprb_print(z); printf("\n\n");
printf("v = "); fmprb_print(v); printf("\n\n");
abort();
}
break;
case 1:
fmprb_set(y, x);
fmprb_mul(z, x, y, prec);
fmprb_mul(v, x, x, prec);
if (!fmprb_equal(z, v))
{
printf("FAIL (aliasing 1)!\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("z = "); fmprb_print(z); printf("\n\n");
printf("v = "); fmprb_print(v); printf("\n\n");
abort();
}
break;
case 2:
fmprb_mul(v, x, x, prec);
fmprb_mul(x, x, x, prec);
if (!fmprb_equal(v, x))
{
printf("FAIL (aliasing 2)!\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("z = "); fmprb_print(z); printf("\n\n");
printf("v = "); fmprb_print(v); printf("\n\n");
abort();
}
break;
case 3:
fmprb_mul(v, x, y, prec);
fmprb_mul(x, x, y, prec);
if (!fmprb_equal(x, v))
{
printf("FAIL (aliasing 3)!\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("y = "); fmprb_print(y); printf("\n\n");
printf("v = "); fmprb_print(v); printf("\n\n");
abort();
}
break;
default:
fmprb_mul(v, x, y, prec);
fmprb_mul(x, y, x, prec);
if (!fmprb_equal(x, v))
{
printf("FAIL (aliasing 4)!\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("y = "); fmprb_print(y); printf("\n\n");
printf("v = "); fmprb_print(v); printf("\n\n");
abort();
}
break;
}
}
fmprb_clear(x);
fmprb_clear(y);
fmprb_clear(z);
fmprb_clear(v);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}