mirror of
https://github.com/vale981/arb
synced 2025-03-05 17:31:38 -05:00
109 lines
3 KiB
C
109 lines
3 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) 2014 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "mag.h"
|
|
|
|
int main()
|
|
{
|
|
slong iter;
|
|
flint_rand_t state;
|
|
|
|
flint_printf("exp_tail....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
|
|
{
|
|
fmpr_t x, t, y, z;
|
|
fmpz_t f;
|
|
mag_t xb, yb;
|
|
ulong N, k;
|
|
|
|
fmpr_init(x);
|
|
fmpr_init(t);
|
|
fmpr_init(y);
|
|
fmpr_init(z);
|
|
fmpz_init(f);
|
|
mag_init(xb);
|
|
mag_init(yb);
|
|
|
|
mag_randtest_special(xb, state, 6);
|
|
mag_randtest_special(yb, state, 6);
|
|
N = n_randint(state, 100);
|
|
|
|
mag_exp_tail(yb, xb, N);
|
|
|
|
mag_get_fmpr(x, xb);
|
|
mag_get_fmpr(y, yb);
|
|
|
|
fmpr_pow_sloppy_ui(t, x, N, MAG_BITS, FMPR_RND_DOWN);
|
|
fmpz_fac_ui(f, N);
|
|
fmpr_div_fmpz(t, t, f, MAG_BITS, FMPR_RND_DOWN);
|
|
fmpr_set(z, t);
|
|
|
|
for (k = 1; k < 50; k++)
|
|
{
|
|
fmpr_mul(t, t, x, MAG_BITS, FMPR_RND_DOWN);
|
|
fmpr_div_ui(t, t, N + k, MAG_BITS, FMPR_RND_DOWN);
|
|
fmpr_add(z, z, t, MAG_BITS, FMPR_RND_DOWN);
|
|
}
|
|
|
|
MAG_CHECK_BITS(xb)
|
|
MAG_CHECK_BITS(yb)
|
|
|
|
if (!(fmpr_cmpabs(z, y) <= 0))
|
|
{
|
|
flint_printf("FAIL\n\n");
|
|
flint_printf("N = %wu\n\n", N);
|
|
flint_printf("x = "); fmpr_print(x); flint_printf("\n\n");
|
|
flint_printf("y = "); fmpr_print(y); flint_printf("\n\n");
|
|
flint_printf("z = "); fmpr_print(z); flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
mag_exp_tail(xb, xb, N);
|
|
|
|
if (!mag_equal(xb, yb))
|
|
{
|
|
flint_printf("FAIL (aliasing)\n\n");
|
|
abort();
|
|
}
|
|
|
|
fmpr_clear(x);
|
|
fmpr_clear(t);
|
|
fmpr_clear(y);
|
|
fmpr_clear(z);
|
|
fmpz_clear(f);
|
|
mag_clear(xb);
|
|
mag_clear(yb);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
flint_cleanup();
|
|
flint_printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|
|
|