arb/elefun/test/t-exp_fixed_precomp.c
2013-07-30 13:06:08 +02:00

123 lines
3.6 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) 2013 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include "elefun.h"
int main()
{
long iter;
flint_rand_t state;
printf("exp_fixed_precomp....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
long prec, prec2;
fmpz_t y, yerr, exponent, x, xerr;
fmpr_t ya, yb, xa, xb, t, u;
prec = 2 + n_randint(state, 1000);
prec2 = prec + 30;
fmpz_init(x);
fmpz_init(xerr);
fmpz_init(y);
fmpz_init(yerr);
fmpz_init(exponent);
fmpr_init(ya);
fmpr_init(yb);
fmpr_init(xa);
fmpr_init(xb);
fmpr_init(t);
fmpr_init(u);
fmpz_randtest(x, state, prec + 20);
fmpz_randtest_unsigned(xerr, state, prec + 10);
fmpz_randtest(y, state, 1500);
fmpz_randtest(yerr, state, 1500);
fmpz_randtest(exponent, state, 1500);
elefun_exp_fixed_precomp(y, yerr, exponent, x, xerr, prec);
fmpr_set_fmpz(t, x);
fmpr_mul_2exp_si(t, t, -prec);
fmpr_set_fmpz(u, xerr);
fmpr_mul_2exp_si(u, u, -prec);
fmpr_sub(xa, t, u, FMPR_PREC_EXACT, FMPR_RND_FLOOR);
fmpr_add(xb, t, u, FMPR_PREC_EXACT, FMPR_RND_CEIL);
fmpr_set_fmpz(t, y);
fmpr_mul_2exp_si(t, t, -prec);
fmpr_mul_2exp_fmpz(t, t, exponent);
fmpr_set_fmpz(u, yerr);
fmpr_mul_2exp_si(u, u, -prec);
fmpr_mul_2exp_fmpz(u, u, exponent);
fmpr_sub(ya, t, u, FMPR_PREC_EXACT, FMPR_RND_FLOOR);
fmpr_add(yb, t, u, FMPR_PREC_EXACT, FMPR_RND_CEIL);
fmpr_exp(t, xa, prec2, FMPR_RND_FLOOR);
fmpr_exp(u, xb, prec2, FMPR_RND_CEIL);
if (!(fmpr_cmp(ya, t) < 0 && fmpr_cmp(t, yb) < 0))
{
printf("FAIL (bounds)\n");
printf("prec = %ld\n", prec);
printf("xa = "); fmpr_printd(xa, 50); printf("\n");
printf("xb = "); fmpr_printd(xb, 50); printf("\n");
printf("ya = "); fmpr_printd(ya, 50); printf("\n");
printf("yb = "); fmpr_printd(yb, 50); printf("\n");
printf("exp(xa) = "); fmpr_printd(t, 50); printf("\n");
printf("exp(xb) = "); fmpr_printd(u, 50); printf("\n");
abort();
}
fmpz_clear(x);
fmpz_clear(xerr);
fmpz_clear(y);
fmpz_clear(yerr);
fmpz_clear(exponent);
fmpr_clear(ya);
fmpr_clear(yb);
fmpr_clear(xa);
fmpr_clear(xb);
fmpr_clear(t);
fmpr_clear(u);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}