Copyright 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.
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 St, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <float.h>
#include <math.h>
#include <limits.h>
#include "mpfr-test.h"
#ifdef CHECK_EXTERNAL
static int
test_pow (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mp_rnd_t rnd_mode)
{
int res;
int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b) && mpfr_number_p (c)
&& mpfr_get_prec (a) >= 53;
if (ok)
{
mpfr_print_raw (b);
printf (" ");
mpfr_print_raw (c);
}
res = mpfr_pow (a, b, c, rnd_mode);
if (ok)
{
printf (" ");
mpfr_print_raw (a);
printf ("\n");
}
return res;
}
#else
#define test_pow mpfr_pow
#endif
#define TEST_FUNCTION test_pow
#define TWO_ARGS
#include "tgeneric.c"
#define TEST_FUNCTION mpfr_pow_ui
#define INTEGER_TYPE unsigned long
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1)
#include "tgeneric_ui.c"
#define TEST_FUNCTION mpfr_pow_si
#define INTEGER_TYPE long
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1)
#define test_generic_ui test_generic_si
#include "tgeneric_ui.c"
static void
check_pow_ui (void)
{
mpfr_t a, b;
int res;
mpfr_init2 (a, 53);
mpfr_init2 (b, 53);
mpfr_set_str (b, "0.6926773", 10, GMP_RNDN);
mpfr_pow_ui (a, b, 10, GMP_RNDN);
mpfr_pow_ui (b, b, 10, GMP_RNDN);
if (mpfr_cmp (a, b))
{
printf ("Error for mpfr_pow_ui (b, b, ...)\n");
exit (1);
}
mpfr_set_ui (b, 1, GMP_RNDN);
mpfr_pow_ui (a, b, 4294967295UL, GMP_RNDN);
mpfr_set_inf (a, -1);
mpfr_pow_ui (a, a, 4049053855UL, GMP_RNDN);
if (!mpfr_inf_p (a) || (mpfr_sgn (a) >= 0))
{
printf ("Error for (-Inf)^4049053855\n");
exit (1);
}
mpfr_set_inf (a, -1);
mpfr_pow_ui (a, a, (unsigned long) 30002752, GMP_RNDN);
if (!mpfr_inf_p (a) || (mpfr_sgn (a) <= 0))
{
printf ("Error for (-Inf)^30002752\n");
exit (1);
}
mpfr_set_str_binary (a, "1E-1");
res = mpfr_pow_ui (a, a, -mpfr_get_emin (), GMP_RNDN);
if (MPFR_GET_EXP (a) != mpfr_get_emin () + 1)
{
printf ("Error for (1e-1)^MPFR_EMAX_MAX\n");
mpfr_dump (a);
exit (1);
}
mpfr_set_str_binary (a, "1E-10");
res = mpfr_pow_ui (a, a, -mpfr_get_emin (), GMP_RNDZ);
if (!MPFR_IS_ZERO (a))
{
printf ("Error for (1e-10)^MPFR_EMAX_MAX\n");
mpfr_dump (a);
exit (1);
}
mpfr_set_str_binary (a, "1E10");
res = mpfr_pow_ui (a, a, ULONG_MAX, GMP_RNDN);
if (!MPFR_IS_INF (a) || MPFR_SIGN (a) < 0)
{
printf ("Error for (1e10)^ULONG_MAX\n");
exit (1);
}
MPFR_SET_ZERO (a);
MPFR_SET_POS (a);
mpfr_set_si (b, -1, GMP_RNDN);
res = mpfr_pow_ui (b, a, 1, GMP_RNDN);
if (res != 0 || MPFR_IS_NEG (b))
{
printf ("Error for (0+)^1\n");
exit (1);
}
MPFR_SET_ZERO (a);
MPFR_SET_NEG (a);
mpfr_set_ui (b, 1, GMP_RNDN);
res = mpfr_pow_ui (b, a, 5, GMP_RNDN);
if (res != 0 || MPFR_IS_POS (b))
{
printf ("Error for (0-)^5\n");
exit (1);
}
MPFR_SET_ZERO (a);
MPFR_SET_NEG (a);
mpfr_set_si (b, -1, GMP_RNDN);
res = mpfr_pow_ui (b, a, 6, GMP_RNDN);
if (res != 0 || MPFR_IS_NEG (b))
{
printf ("Error for (0-)^6\n");
exit (1);
}
mpfr_set_prec (a, 122);
mpfr_set_prec (b, 122);
mpfr_set_str_binary (a, "0.10000010010000111101001110100101101010011110011100001111000001001101000110011001001001001011001011010110110110101000111011E1");
mpfr_set_str_binary (b, "0.11111111100101001001000001000001100011100000001110111111100011111000111011100111111111110100011000111011000100100011001011E51290375");
mpfr_pow_ui (a, a, 2026876995UL, GMP_RNDU);
if (mpfr_cmp (a, b) != 0)
{
printf ("Error for x^2026876995\n");
exit (1);
}
mpfr_set_prec (a, 29);
mpfr_set_prec (b, 29);
mpfr_set_str_binary (a, "1.0000000000000000000000001111");
mpfr_set_str_binary (b, "1.1001101111001100111001010111e165");
mpfr_pow_ui (a, a, 2055225053, GMP_RNDZ);
if (mpfr_cmp (a, b) != 0)
{
printf ("Error for x^2055225053\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, b, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, a, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_prec (a, 53);
mpfr_set_prec (b, 53);
mpfr_set_str_binary (a, "1.0000010110000100001000101101101001011101101011010111");
mpfr_set_str_binary (b, "1.0000110111101111011010110100001100010000001010110100E1");
mpfr_pow_ui (a, a, 35, GMP_RNDN);
if (mpfr_cmp (a, b) != 0)
{
printf ("Error in mpfr_pow_ui for worst case (1)\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, b, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, a, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_str_binary (a, "1.0110100111010001101001010111001110010100111111000011");
mpfr_set_str_binary (b, "1.1111010011101110001111010110000101110000110110101100E17");
mpfr_pow_ui (a, a, 36, GMP_RNDD);
if (mpfr_cmp (a, b) != 0)
{
printf ("Error in mpfr_pow_ui for worst case (2)\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, b, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, a, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_str_binary (a, "1.1001010100001110000110111111100011011101110011000100");
mpfr_set_str_binary (b, "1.1100011101101101100010110001000001110001111110010001E23");
mpfr_pow_ui (a, a, 36, GMP_RNDU);
if (mpfr_cmp (a, b) != 0)
{
printf ("Error in mpfr_pow_ui for worst case (3)\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, b, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, a, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (a);
mpfr_clear (b);
}
static void
check_pow_si (void)
{
mpfr_t x;
mpfr_init (x);
mpfr_set_nan (x);
mpfr_pow_si (x, x, -1, GMP_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_set_inf (x, 1);
mpfr_pow_si (x, x, -1, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));
mpfr_set_inf (x, -1);
mpfr_pow_si (x, x, -1, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_NEG(x));
mpfr_set_inf (x, -1);
mpfr_pow_si (x, x, -2, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_pow_si (x, x, -1, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
mpfr_pow_si (x, x, -1, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
mpfr_pow_si (x, x, -2, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_si (x, 2, GMP_RNDN);
mpfr_pow_si (x, x, LONG_MAX, GMP_RNDN);
if (LONG_MAX > mpfr_get_emax () - 1)
{
MPFR_ASSERTN (mpfr_inf_p (x));
}
else
{
MPFR_ASSERTN (mpfr_cmp_si_2exp (x, 1, LONG_MAX));
}
mpfr_set_si (x, 2, GMP_RNDN);
mpfr_pow_si (x, x, LONG_MIN, GMP_RNDN);
if (LONG_MIN + 1 < mpfr_get_emin ())
{
MPFR_ASSERTN (mpfr_zero_p (x));
}
else
{
MPFR_ASSERTN (mpfr_cmp_si_2exp (x, 1, LONG_MIN));
}
mpfr_set_si (x, 2, GMP_RNDN);
mpfr_pow_si (x, x, LONG_MIN + 1, GMP_RNDN);
if (mpfr_nan_p (x))
{
printf ("Error in pow_si(2, LONG_MIN+1): got NaN\n");
exit (1);
}
if (LONG_MIN + 2 < mpfr_get_emin ())
{
MPFR_ASSERTN (mpfr_zero_p (x));
}
else
{
MPFR_ASSERTN (mpfr_cmp_si_2exp (x, 1, LONG_MIN + 1));
}
mpfr_set_si_2exp (x, 1, -1, GMP_RNDN);
mpfr_pow_si (x, x, LONG_MIN, GMP_RNDN);
if (LONG_MIN < 1 - mpfr_get_emax ())
{
MPFR_ASSERTN (mpfr_inf_p (x));
}
else
{
MPFR_ASSERTN (mpfr_cmp_si_2exp (x, 2, - (LONG_MIN + 1)));
}
mpfr_clear (x);
}
static void
check_special_pow_si ()
{
mpfr_t a, b;
mp_exp_t emin;
mpfr_init (a);
mpfr_init (b);
mpfr_set_str (a, "2E100000000", 10, GMP_RNDN);
mpfr_set_si (b, -10, GMP_RNDN);
test_pow (b, a, b, GMP_RNDN);
if (!MPFR_IS_ZERO(b))
{
printf("Pow(2E10000000, -10) failed\n");
mpfr_dump (a);
mpfr_dump (b);
exit(1);
}
emin = mpfr_get_emin ();
mpfr_set_emin (-10);
mpfr_set_si (a, -2, GMP_RNDN);
mpfr_pow_si (b, a, -10000, GMP_RNDN);
if (!MPFR_IS_ZERO (b))
{
printf ("Pow_so (1, -10000) doesn't underflow if emin=-10.\n");
mpfr_dump (a);
mpfr_dump (b);
exit (1);
}
mpfr_set_emin (emin);
mpfr_clear (a);
mpfr_clear (b);
}
static void
pow_si_long_min (void)
{
mpfr_t x, y, z;
int inex;
mpfr_inits2 (sizeof(long) * CHAR_BIT + 32, x, y, z, (void *) 0);
mpfr_set_si_2exp (x, 3, -1, GMP_RNDN);
inex = mpfr_set_si (y, LONG_MIN, GMP_RNDN);
MPFR_ASSERTN (inex == 0);
mpfr_nextbelow (y);
mpfr_pow (y, x, y, GMP_RNDD);
inex = mpfr_set_si (z, LONG_MIN, GMP_RNDN);
MPFR_ASSERTN (inex == 0);
mpfr_nextabove (z);
mpfr_pow (z, x, z, GMP_RNDU);
mpfr_pow_si (x, x, LONG_MIN, GMP_RNDN);
if (mpfr_cmp (x, y) < 0 || mpfr_cmp (x, z) > 0)
{
printf ("Error in pow_si_long_min\n");
exit (1);
}
mpfr_clears (x, y, z, (void *) 0);
}
static void
check_inexact (mp_prec_t p)
{
mpfr_t x, y, z, t;
unsigned long u;
mp_prec_t q;
int inexact, cmp;
int rnd;
mpfr_init2 (x, p);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_random (x);
u = randlimb () % 2;
for (q = 2; q <= p; q++)
for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
{
mpfr_set_prec (y, q);
mpfr_set_prec (z, q + 10);
mpfr_set_prec (t, q);
inexact = mpfr_pow_ui (y, x, u, (mp_rnd_t) rnd);
cmp = mpfr_pow_ui (z, x, u, (mp_rnd_t) rnd);
if (mpfr_can_round (z, q + 10, (mp_rnd_t) rnd, (mp_rnd_t) rnd, q))
{
cmp = mpfr_set (t, z, (mp_rnd_t) rnd) || cmp;
if (mpfr_cmp (y, t))
{
printf ("results differ for u=%lu rnd=%s\n",
u, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
printf ("x="); mpfr_print_binary (x); puts ("");
printf ("y="); mpfr_print_binary (y); puts ("");
printf ("t="); mpfr_print_binary (t); puts ("");
printf ("z="); mpfr_print_binary (z); puts ("");
exit (1);
}
if (((inexact == 0) && (cmp != 0)) ||
((inexact != 0) && (cmp == 0)))
{
printf ("Wrong inexact flag for p=%u, q=%u, rnd=%s\n",
(unsigned int) p, (unsigned int) q,
mpfr_print_rnd_mode ((mp_rnd_t) rnd));
printf ("expected %d, got %d\n", cmp, inexact);
printf ("u=%lu x=", u); mpfr_print_binary (x); puts ("");
printf ("y="); mpfr_print_binary (y); puts ("");
exit (1);
}
}
}
mpfr_set_prec (x, p);
mpfr_set_prec (y, p);
mpfr_set_prec (z, p);
mpfr_set_ui (x, 4, GMP_RNDN);
mpfr_set_str (y, "0.5", 10, GMP_RNDN);
test_pow (z, x, y, GMP_RNDZ);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
}
static void
special ()
{
mpfr_t x, y, z, t;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
mpfr_init2 (z, 53);
mpfr_init2 (t, 2);
mpfr_set_ui (x, 2, GMP_RNDN);
mpfr_pow_si (x, x, -2, GMP_RNDN);
if (mpfr_cmp_ui_2exp (x, 1, -2))
{
printf ("Error in pow_si(x,x,-2) for x=2\n");
exit (1);
}
mpfr_set_ui (x, 2, GMP_RNDN);
mpfr_set_si (y, -2, GMP_RNDN);
test_pow (x, x, y, GMP_RNDN);
if (mpfr_cmp_ui_2exp (x, 1, -2))
{
printf ("Error in pow(x,x,y) for x=2, y=-2\n");
exit (1);
}
mpfr_set_prec (x, 2);
mpfr_set_str_binary (x, "1.0e-1");
mpfr_set_prec (y, 53);
mpfr_set_str_binary (y, "0.11010110011100101010110011001010100111000001000101110E-1");
mpfr_set_prec (z, 2);
test_pow (z, x, y, GMP_RNDZ);
mpfr_set_str_binary (x, "1.0e-1");
if (mpfr_cmp (x, z))
{
printf ("Error in mpfr_pow (1)\n");
exit (1);
}
mpfr_set_prec (x, 64);
mpfr_set_prec (y, 64);
mpfr_set_prec (z, 64);
mpfr_set_prec (t, 64);
mpfr_set_str_binary (x, "0.111011000111100000111010000101010100110011010000011");
mpfr_set_str_binary (y, "0.111110010100110000011101100011010111000010000100101");
mpfr_set_str_binary (t, "0.1110110011110110001000110100100001001111010011111000010000011001");
test_pow (z, x, y, GMP_RNDN);
if (mpfr_cmp (z, t))
{
printf ("Error in mpfr_pow for prec=64, rnd=GMP_RNDN\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_prec (z, 53);
mpfr_set_str (x, "5.68824667828621954868e-01", 10, GMP_RNDN);
mpfr_set_str (y, "9.03327850535952658895e-01", 10, GMP_RNDN);
test_pow (z, x, y, GMP_RNDZ);
if (mpfr_cmp_str1 (z, "0.60071044650456473235"))
{
printf ("Error in mpfr_pow for prec=53, rnd=GMP_RNDZ\n");
exit (1);
}
mpfr_set_prec (t, 2);
mpfr_set_prec (x, 30);
mpfr_set_prec (y, 30);
mpfr_set_prec (z, 30);
mpfr_set_str (x, "1.00000000001010111110001111011e1", 2, GMP_RNDN);
mpfr_set_str (t, "-0.5", 10, GMP_RNDN);
test_pow (z, x, t, GMP_RNDN);
mpfr_set_str (y, "1.01101001111010101110000101111e-1", 2, GMP_RNDN);
if (mpfr_cmp (z, y))
{
printf ("Error in mpfr_pow for prec=30, rnd=GMP_RNDN\n");
exit (1);
}
mpfr_set_prec (x, 21);
mpfr_set_prec (y, 21);
mpfr_set_prec (z, 21);
mpfr_set_str (x, "1.11111100100001100101", 2, GMP_RNDN);
test_pow (z, x, t, GMP_RNDZ);
mpfr_set_str (y, "1.01101011010001100000e-1", 2, GMP_RNDN);
if (mpfr_cmp (z, y))
{
printf ("Error in mpfr_pow for prec=21, rnd=GMP_RNDZ\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_prec (x, 113);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 169);
mpfr_set_str1 (x, "6078673043126084065007902175846955");
mpfr_set_ui_2exp (y, 3, -1, GMP_RNDN);
test_pow (z, x, y, GMP_RNDZ);
if (mpfr_cmp_str1 (z, "473928882491000966028828671876527456070714790264144"))
{
printf ("Error in mpfr_pow for 6078673043126084065007902175846955");
printf ("^(3/2), GMP_RNDZ\nExpected ");
printf ("4.73928882491000966028828671876527456070714790264144e50");
printf ("\nGot ");
mpfr_out_str (stdout, 10, 0, z, GMP_RNDN);
printf ("\n");
exit (1);
}
test_pow (z, x, y, GMP_RNDU);
if (mpfr_cmp_str1 (z, "473928882491000966028828671876527456070714790264145"))
{
printf ("Error in mpfr_pow for 6078673043126084065007902175846955");
printf ("^(3/2), GMP_RNDU\nExpected ");
printf ("4.73928882491000966028828671876527456070714790264145e50");
printf ("\nGot ");
mpfr_out_str (stdout, 10, 0, z, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_prec (y, 2);
mpfr_set_str_binary (y, "1E10");
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_set_inf (x, -1);
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_set_prec (y, 10);
mpfr_set_str_binary (y, "1.000000001E9");
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_NEG(z));
mpfr_set_str_binary (y, "1.000000001E8");
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_set_inf (x, -1);
mpfr_set_prec (y, 2 * mp_bits_per_limb);
mpfr_set_ui (y, 1, GMP_RNDN);
mpfr_mul_2exp (y, y, mp_bits_per_limb - 1, GMP_RNDN);
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_nextabove (y);
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_nextbelow (y);
mpfr_div_2exp (y, y, 1, GMP_RNDN);
mpfr_nextabove (y);
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_inf_p (z) && MPFR_IS_POS(z));
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_set_prec (y, 2);
mpfr_set_str_binary (y, "1E10");
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (z, 1) == 0);
mpfr_set_prec (x, 6);
mpfr_set_prec (y, 640);
MPFR_SET_ZERO (x); MPFR_SET_NEG (x);
mpfr_set_ui (y, 17, GMP_RNDN); mpfr_nextabove (y);
test_pow (z, x, y, GMP_RNDN);
MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_POS (z));
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
}
static void
particular_cases (void)
{
mpfr_t t[11], r;
static const char *name[11] = {
"NaN", "+inf", "-inf", "+0", "-0", "+1", "-1", "+2", "-2", "+0.5", "-0.5"};
int i, j;
int error = 0;
for (i = 0; i < 11; i++)
mpfr_init2 (t[i], 2);
mpfr_init2 (r, 6);
mpfr_set_nan (t[0]);
mpfr_set_inf (t[1], 1);
mpfr_set_ui (t[3], 0, GMP_RNDN);
mpfr_set_ui (t[5], 1, GMP_RNDN);
mpfr_set_ui (t[7], 2, GMP_RNDN);
mpfr_div_2ui (t[9], t[5], 1, GMP_RNDN);
for (i = 1; i < 11; i += 2)
mpfr_neg (t[i+1], t[i], GMP_RNDN);
for (i = 0; i < 11; i++)
for (j = 0; j < 11; j++)
{
double d;
int p;
static int q[11][11] = {
{ 0, 0, 0, 128, 128, 0, 0, 0, 0, 0, 0 },
{ 0, 1, 2, 128, 128, 1, 2, 1, 2, 1, 2 },
{ 0, 1, 2, 128, 128, -1, -2, 1, 2, 1, 2 },
{ 0, 2, 1, 128, 128, 2, 1, 2, 1, 2, 1 },
{ 0, 2, 1, 128, 128, -2, -1, 2, 1, 2, 1 },
{128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128 },
{ 0, 128, 128, 128, 128,-128,-128, 128, 128, 0, 0 },
{ 0, 1, 2, 128, 128, 256, 64, 512, 32, 180, 90 },
{ 0, 1, 2, 128, 128,-256, -64, 512, 32, 0, 0 },
{ 0, 2, 1, 128, 128, 64, 256, 32, 512, 90, 180 },
{ 0, 2, 1, 128, 128, -64,-256, 32, 512, 0, 0 }
};
test_pow (r, t[i], t[j], GMP_RNDN);
p = mpfr_nan_p (r) ? 0 : mpfr_inf_p (r) ? 1 :
mpfr_cmp_ui (r, 0) == 0 ? 2 :
(d = mpfr_get_d (r, GMP_RNDN), (int) (ABS(d) * 128.0));
if (p != 0 && MPFR_SIGN(r) < 0)
p = -p;
if (p != q[i][j])
{
printf ("Error in mpfr_pow for particular case (%s)^(%s) (%d,%d):\n"
"got %d instead of %d\n", name[i], name[j], i,j,p, q[i][j]);
mpfr_dump (r);
error = 1;
}
}
for (i = 0; i < 11; i++)
mpfr_clear (t[i]);
mpfr_clear (r);
if (error)
exit (1);
}
static void
underflows (void)
{
mpfr_t x, y, z;
int err = 0;
int inexact;
int i;
mp_exp_t emin;
mpfr_init2 (x, 64);
mpfr_init2 (y, 64);
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_set_exp (x, mpfr_get_emin());
for (i = 3; i < 10; i++)
{
mpfr_set_ui (y, i, GMP_RNDN);
mpfr_div_2ui (y, y, 1, GMP_RNDN);
test_pow (y, x, y, GMP_RNDN);
if (!MPFR_IS_FP(y) || mpfr_cmp_ui (y, 0))
{
printf ("Error in mpfr_pow for ");
mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
printf (" ^ (%d/2)\nGot ", i);
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf (" instead of 0.\n");
exit (1);
}
}
mpfr_init2 (z, 55);
mpfr_set_str (x, "0.110011010011101001110001110100010000110111101E0",
2, GMP_RNDN);
mpfr_set_str (y, "0.101110010011111001011010100011011100111110011E40",
2, GMP_RNDN);
mpfr_clear_flags ();
inexact = mpfr_pow (z, x, y, GMP_RNDU);
if (!mpfr_underflow_p ())
{
printf ("Underflow flag is not set for special underflow test.\n");
err = 1;
}
if (inexact <= 0)
{
printf ("Ternary value is wrong for special underflow test.\n");
err = 1;
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_nextabove (x);
if (mpfr_cmp (x, z) != 0)
{
printf ("Wrong value for special underflow test.\nGot ");
mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
printf ("\ninstead of ");
mpfr_out_str (stdout, 2, 2, x, GMP_RNDN);
printf ("\n");
err = 1;
}
if (err)
exit (1);
possibly makes other programs crash due to the lack of memory),
because y is converted into an mpz_t, and the required precision
is too high. */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 12);
mpfr_set_ui_2exp (x, 3, -2, GMP_RNDN);
mpfr_set_ui_2exp (y, 1, mpfr_get_emax () - 1, GMP_RNDN);
mpfr_clear_flags ();
mpfr_pow (z, x, y, GMP_RNDN);
if (!mpfr_underflow_p () || MPFR_NOTZERO (z))
{
printf ("Underflow test with large y fails.\n");
exit (1);
}
emin = mpfr_get_emin ();
mpfr_set_emin (-256);
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 12);
mpfr_set_ui_2exp (x, 3, -2, GMP_RNDN);
mpfr_set_ui_2exp (y, 1, 38, GMP_RNDN);
mpfr_clear_flags ();
inexact = mpfr_pow (z, x, y, GMP_RNDN);
if (!mpfr_underflow_p () || MPFR_NOTZERO (z) || inexact >= 0)
{
printf ("Bad underflow detection for 0.75^(2^38). Obtained:\n"
"Underflow flag... %-3s (should be 'yes')\n"
"Zero result...... %-3s (should be 'yes')\n"
"Inexact value.... %-3d (should be negative)\n",
mpfr_underflow_p () ? "yes" : "no",
MPFR_IS_ZERO (z) ? "yes" : "no", inexact);
exit (1);
}
mpfr_set_emin (emin);
emin = mpfr_get_emin ();
mpfr_set_emin (-256);
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 40);
mpfr_set_prec (z, 12);
mpfr_set_ui_2exp (x, 3, -1, GMP_RNDN);
mpfr_set_si_2exp (y, -1, 38, GMP_RNDN);
for (i = 0; i < 4; i++)
{
if (i == 2)
mpfr_neg (x, x, GMP_RNDN);
mpfr_clear_flags ();
inexact = mpfr_pow (z, x, y, GMP_RNDN);
if (!mpfr_underflow_p () || MPFR_NOTZERO (z) ||
(i == 3 ? (inexact <= 0) : (inexact >= 0)))
{
printf ("Bad underflow detection for (");
mpfr_out_str (stdout, 10, 0, x, GMP_RNDN);
printf (")^(-2^38-%d). Obtained:\n"
"Overflow flag.... %-3s (should be 'no')\n"
"Underflow flag... %-3s (should be 'yes')\n"
"Zero result...... %-3s (should be 'yes')\n"
"Inexact value.... %-3d (should be %s)\n", i,
mpfr_overflow_p () ? "yes" : "no",
mpfr_underflow_p () ? "yes" : "no",
MPFR_IS_ZERO (z) ? "yes" : "no", inexact,
i == 3 ? "positive" : "negative");
exit (1);
}
inexact = mpfr_sub_ui (y, y, 1, GMP_RNDN);
MPFR_ASSERTN (inexact == 0);
}
mpfr_set_emin (emin);
mpfr_clears (x, y, z, (void *) 0);
}
static void
overflows (void)
{
mpfr_t a, b;
mpfr_init_set_str (a, "5.1e32", 10, GMP_RNDN);
mpfr_init (b);
test_pow (b, a, a, GMP_RNDN);
if (!(mpfr_inf_p (b) && mpfr_sgn (b) > 0))
{
printf ("Error for a^a for a=5.1e32\n");
printf ("Expected +Inf, got ");
mpfr_out_str (stdout, 10, 0, b, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear(a);
mpfr_clear(b);
}
static void
x_near_one (void)
{
mpfr_t x, y, z;
int inex;
mpfr_init2 (x, 32);
mpfr_init2 (y, 4);
mpfr_init2 (z, 33);
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_nextbelow (x);
mpfr_set_ui_2exp (y, 11, -2, GMP_RNDN);
inex = mpfr_pow (z, x, y, GMP_RNDN);
if (mpfr_cmp_str (z, "0.111111111111111111111111111111011E0", 2, GMP_RNDN)
|| inex <= 0)
{
printf ("Failure in x_near_one, got inex = %d and\nz = ", inex);
mpfr_dump (z);
}
mpfr_clears (x, y, z, (void *) 0);
}
static int
mpfr_pow275 (mpfr_t y, mpfr_t x, mp_rnd_t r)
{
mpfr_t z;
int inex;
mpfr_init2 (z, 4);
mpfr_set_ui_2exp (z, 11, -2, GMP_RNDN);
inex = mpfr_pow (y, x, z, GMP_RNDN);
mpfr_clear (z);
return inex;
}
int
main (void)
{
mp_prec_t p;
MPFR_TEST_USE_RANDS ();
tests_start_mpfr ();
special ();
particular_cases ();
check_pow_ui ();
check_pow_si ();
check_special_pow_si ();
pow_si_long_min ();
for (p = 2; p < 100; p++)
check_inexact (p);
underflows ();
overflows ();
x_near_one ();
test_generic (2, 100, 100);
test_generic_ui (2, 100, 100);
test_generic_si (2, 100, 100);
data_check ("data/pow275", mpfr_pow275, "mpfr_pow275");
tests_end_mpfr ();
return 0;
}
