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/* Test file for mpfr_pow_z -- power function x^z with z a MPZ
Copyright 2005 Free Software Foundation, Inc.
This file is part of the MPFR Library.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.
The MPFR Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin Place, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdlib.h>
#include <float.h>
#include <math.h>
#include "mpfr-test.h"
#define ERROR(str) do { printf("Error for "str"\n"); exit (1); } while (0)
static void check_special (void) {
mpfr_t x, y;
mpz_t z;
int res;
mpfr_init (x);
mpfr_init (y);
mpz_init (z);
/* x^0 = 1 except for NAN */
mpfr_set_ui (x, 23, GMP_RNDN);
mpz_set_ui (z, 0);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_cmp_ui (y, 1) != 0)
ERROR ("23^0");
mpfr_set_nan (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_nan_p (y) == 0)
ERROR ("NAN^0");
mpfr_set_inf (x, 1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_cmp_ui (y, 1) != 0)
ERROR ("INF^0");
/* sINF^N = INF if s==1 or n even if N > 0*/
mpz_set_ui (z, 42);
mpfr_set_inf (x, 1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || mpfr_sgn (y) <= 0)
ERROR ("INF^42");
mpfr_set_inf (x, -1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || mpfr_sgn (y) <= 0)
ERROR ("-INF^42");
mpz_set_ui (z, 17);
mpfr_set_inf (x, 1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || mpfr_sgn (y) <= 0)
ERROR ("INF^17");
mpfr_set_inf (x, -1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || mpfr_sgn (y) >= 0)
ERROR ("-INF^17");
mpz_set_si (z, -42);
mpfr_set_inf (x, 1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("INF^-42");
mpfr_set_inf (x, -1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("-INF^-42");
mpz_set_si (z, -17);
mpfr_set_inf (x, 1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("INF^-17");
mpfr_set_inf (x, -1);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) >= 0)
ERROR ("-INF^-17");
/* s0^N = +0 if s==+ or n even if N > 0*/
mpz_set_ui (z, 42);
MPFR_SET_ZERO (x); MPFR_SET_POS (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("+0^42");
MPFR_SET_NEG (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("-0^42");
mpz_set_ui (z, 17);
MPFR_SET_POS (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("+0^17");
MPFR_SET_NEG (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_zero_p (y) == 0 || MPFR_SIGN (y) >= 0)
ERROR ("-0^17");
mpz_set_si (z, -42);
MPFR_SET_ZERO (x); MPFR_SET_POS (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("+0^-42");
MPFR_SET_NEG (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("-0^-42");
mpz_set_si (z, -17);
MPFR_SET_POS (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || MPFR_SIGN (y) <= 0)
ERROR ("+0^-17");
MPFR_SET_NEG (x);
res = mpfr_pow_z (y, x, z, GMP_RNDN);
if (res != 0 || mpfr_inf_p (y) == 0 || MPFR_SIGN (y) >= 0)
ERROR ("-0^-17");
mpz_clear (z);
mpfr_clear (y);
mpfr_clear (x);
}
static void check_integer (mp_prec_t begin, mp_prec_t end, unsigned long max) {
mpfr_t x, y1, y2;
mpz_t z;
unsigned long i, n;
mp_prec_t p;
int res1, res2;
mp_rnd_t rnd;
mpfr_inits2 (begin, x, y1, y2, NULL);
mpz_init (z);
for (p = begin ; p < end ; p+=4) {
mpfr_set_prec (x, p);
mpfr_set_prec (y1, p);
mpfr_set_prec (y2, p);
for (i = 0 ; i < max ; i++) {
mpz_random (z, (i&1) == 0 ? -1 : 1);
mpfr_random (x);
mpfr_mul_2ui (x, x, 1, GMP_RNDN); /* 0 <= x < 2 */
rnd = (mp_rnd_t) RND_RAND ();
if (mpz_fits_slong_p (z)) {
n = mpz_get_si (z);
/* printf ("New test for x=%ld\nCheck Pow_si\n", n); */
res1 = mpfr_pow_si (y1, x, n, rnd);
/* printf ("Check pow_z\n"); */
res2 = mpfr_pow_z (y2, x, z, rnd);
if (mpfr_cmp (y1, y2) != 0) {
printf ("Error for p=%lu, z=%ld, rnd=%s and x=", p, n,
mpfr_print_rnd_mode (rnd));
mpfr_dump (x);
printf ("Ypowui="); mpfr_dump (y1);
printf ("Ypowz ="); mpfr_dump (y2);
exit (1);
}
if (res1 != res2) {
printf ("Wrong inexact flags for p=%lu, z=%ld, rnd=%s and x=", p, n,
mpfr_print_rnd_mode (rnd));
mpfr_dump (x);
printf ("Ypowui(%d)=", res1); mpfr_dump (y1);
printf ("Ypowz (%d)=", res2); mpfr_dump (y2);
exit (1);
}
}
} /* for i */
} /* for p */
mpfr_clears (x, y1, y2, NULL);
mpz_clear (z);
}
static void check_regression (void)
{
mpfr_t x, y;
mpz_t z;
int res1, res2;
mpz_init_set_ui (z, 2026876995);
mpfr_init2 (x, 122);
mpfr_init2 (y, 122);
mpfr_set_str_binary (x, "0.10000010010000111101001110100101101010011110011100001111000001001101000110011001001001001011001011010110110110101000111011E1");
res1 = mpfr_pow_z (y, x, z, GMP_RNDU);
res2 = mpfr_pow_ui (x, x, 2026876995UL, GMP_RNDU);
if (mpfr_cmp (x, y) || res1 != res2)
{
printf ("Regression (1) tested failed (%d=?%d)\n",res1, res2);
printf ("pow_ui: "); mpfr_dump (x);
printf ("pow_z: "); mpfr_dump (y);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpz_clear (z);
}
int main () {
MPFR_TEST_USE_RANDS ();
tests_start_mpfr ();
check_special ();
check_integer (2, 163, 100);
check_regression ();
tests_end_mpfr ();
return 0;
}
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