/* Test file for mpfr_set_si, mpfr_set_ui, mpfr_get_si and mpfr_get_ui.
Copyright 1999, 2001-2018 Free Software Foundation, Inc.
Contributed by the AriC and Caramba projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU 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 3 of the License, or (at your
option) any later version.
The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include "mpfr-test.h"
#define PRINT_ERROR(str) \
do { printf ("Error for %s\n", str); exit (1); } while (0)
static void
test_2exp (void)
{
mpfr_t x;
int res;
mpfr_init2 (x, 32);
mpfr_set_ui_2exp (x, 1, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1) != 0)
PRINT_ERROR ("(1U,0)");
mpfr_set_ui_2exp (x, 1024, -10, MPFR_RNDN);
if (mpfr_cmp_ui(x, 1) != 0)
PRINT_ERROR ("(1024U,-10)");
mpfr_set_ui_2exp (x, 1024, 10, MPFR_RNDN);
if (mpfr_cmp_ui (x, 1024 * 1024) != 0)
PRINT_ERROR ("(1024U,+10)");
mpfr_set_si_2exp (x, -1024L * 1024L, -10, MPFR_RNDN);
if (mpfr_cmp_si (x, -1024) != 0)
PRINT_ERROR ("(1M,-10)");
mpfr_set_ui_2exp (x, 0x92345678, 16, MPFR_RNDN);
if (mpfr_cmp_str (x, "92345678@4", 16, MPFR_RNDN) != 0)
PRINT_ERROR ("(x92345678U,+16)");
mpfr_set_si_2exp (x, -0x1ABCDEF0, -256, MPFR_RNDN);
if (mpfr_cmp_str (x, "-1ABCDEF0@-64", 16, MPFR_RNDN) != 0)
PRINT_ERROR ("(-x1ABCDEF0,-256)");
mpfr_set_prec (x, 2);
res = mpfr_set_si_2exp (x, 7, 10, MPFR_RNDU);
if (mpfr_cmp_ui (x, 1<<13) != 0 || res <= 0)
PRINT_ERROR ("Prec 2 + si_2exp");
res = mpfr_set_ui_2exp (x, 7, 10, MPFR_RNDU);
if (mpfr_cmp_ui (x, 1<<13) != 0 || res <= 0)
PRINT_ERROR ("Prec 2 + ui_2exp");
mpfr_clear_flags ();
mpfr_set_ui_2exp (x, 17, MPFR_EMAX_MAX, MPFR_RNDN);
if (!mpfr_inf_p (x) || MPFR_IS_NEG (x))
PRINT_ERROR ("mpfr_set_ui_2exp and overflow (bad result)");
if (!mpfr_overflow_p ())
PRINT_ERROR ("mpfr_set_ui_2exp and overflow (overflow flag not set)");
mpfr_clear_flags ();
mpfr_set_si_2exp (x, 17, MPFR_EMAX_MAX, MPFR_RNDN);
if (!mpfr_inf_p (x) || MPFR_IS_NEG (x))
PRINT_ERROR ("mpfr_set_si_2exp (pos) and overflow (bad result)");
if (!mpfr_overflow_p ())
PRINT_ERROR ("mpfr_set_si_2exp (pos) and overflow (overflow flag not set)");
mpfr_clear_flags ();
mpfr_set_si_2exp (x, -17, MPFR_EMAX_MAX, MPFR_RNDN);
if (!mpfr_inf_p (x) || MPFR_IS_POS (x))
PRINT_ERROR ("mpfr_set_si_2exp (neg) and overflow (bad result)");
if (!mpfr_overflow_p ())
PRINT_ERROR ("mpfr_set_si_2exp (neg) and overflow (overflow flag not set)");
mpfr_clear (x);
}
static void
test_macros (void)
{
mpfr_t x[3];
mpfr_ptr p;
int r;
/* Note: the ++'s below allow one to check that the corresponding
arguments are evaluated only once by the macros. */
mpfr_inits (x[0], x[1], x[2], (mpfr_ptr) 0);
p = x[0];
r = 0;
mpfr_set_ui (p++, 0, (mpfr_rnd_t) r++);
if (p != x[1] || r != 1)
{
printf ("Error in mpfr_set_ui macro: p - x[0] = %d (expecting 1), "
"r = %d (expecting 1)\n", (int) (p - x[0]), r);
exit (1);
}
p = x[0];
r = 0;
mpfr_set_si (p++, 0, (mpfr_rnd_t) r++);
if (p != x[1] || r != 1)
{
printf ("Error in mpfr_set_si macro: p - x[0] = %d (expecting 1), "
"r = %d (expecting 1)\n", (int) (p - x[0]), r);
exit (1);
}
mpfr_clears (x[0], x[1], x[2], (mpfr_ptr) 0);
}
static void
test_macros_keyword (void)
{
mpfr_t x;
unsigned long i;
mpfr_init2 (x, 64);
#define MKN 0x1000000
#define long short
mpfr_set_ui (x, MKN, MPFR_RNDN);
#undef long
i = mpfr_get_ui (x, MPFR_RNDN);
if (i != MKN)
{
printf ("Error in test_macros_keyword: expected 0x%lx, got 0x%lx.\n",
(unsigned long) MKN, i);
exit (1);
}
mpfr_clear (x);
}
static void
test_get_ui_smallneg (void)
{
mpfr_t x;
int i;
mpfr_init2 (x, 64);
for (i = 1; i <= 4; i++)
{
int r;
mpfr_set_si_2exp (x, -i, -2, MPFR_RNDN);
RND_LOOP (r)
{
long s;
unsigned long u;
mpfr_clear_erangeflag ();
s = mpfr_get_si (x, r != MPFR_RNDF ? (mpfr_rnd_t) r : MPFR_RNDA);
if (mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + small negative op"
" for rnd = %s and x = -%d/4\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
exit (1);
}
u = mpfr_get_ui (x, (mpfr_rnd_t) r);
if (u != 0)
{
printf ("ERROR for get_ui + ERANGE + small negative op"
" for rnd = %s and x = -%d/4\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
printf ("Expected 0, got %lu\n", u);
exit (1);
}
if ((s == 0) ^ !mpfr_erangeflag_p ())
{
const char *Not = s == 0 ? "" : " not";
printf ("ERROR for get_ui + ERANGE + small negative op"
" for rnd = %s and x = -%d/4\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
printf ("The rounding integer (%ld) is%s representable in "
"unsigned long,\nbut the erange flag is%s set.\n",
s, Not, Not);
exit (1);
}
}
}
mpfr_clear (x);
}
/* Test mpfr_get_si and mpfr_get_ui, on values around some particular
* integers (see ts[] and tu[]): x = t?[i] + j/4, where '?' is 's' or
* 'u', and j is an integer from -8 to 8.
*/
static void get_tests (void)
{
mpfr_exp_t emin, emax;
mpfr_t x, z;
long ts[5] = { LONG_MIN, LONG_MAX, -17, 0, 17 };
unsigned long tu[3] = { 0, ULONG_MAX, 17 };
int s, i, j, odd, ctr = 0;
int inex;
int r;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
/* We need the bitsize of an unsigned long + 3 bits (1 additional bit for
* the cases >= ULONG_MAX + 1; 2 additional bits for the fractional part).
*/
mpfr_init2 (x, sizeof (unsigned long) * CHAR_BIT + 3);
mpfr_init2 (z, MPFR_PREC_MIN);
mpfr_set_ui_2exp (z, 1, -2, MPFR_RNDN); /* z = 1/4 */
for (s = 1; s >= 0; s--)
for (i = 0; i < (s ? 5 : 3); i++)
{
odd = (s ? (unsigned long) ts[i] : tu[i]) & 1;
inex = s ?
mpfr_set_si (x, ts[i], MPFR_RNDN) :
mpfr_set_ui (x, tu[i], MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
inex = mpfr_sub_ui (x, x, 2, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
for (j = -8; j <= 8; j++)
{
/* Test x = t?[i] + j/4 in each non-RNDF rounding mode... */
RND_LOOP_NO_RNDF (r)
{
mpfr_flags_t ex_flags, flags;
int e, k, overflow;
ctr++; /* for the check below */
/* Let's determine k such that the rounded integer should
be t?[i] + k, assuming an unbounded exponent range. */
k = (j + 8 +
(MPFR_IS_LIKE_RNDD (r, MPFR_SIGN (x)) ? 0 :
MPFR_IS_LIKE_RNDU (r, MPFR_SIGN (x)) ? 3 :
2)) / 4 - 2;
if (r == MPFR_RNDN && ((unsigned int) j & 3) == 2 &&
((odd + k) & 1))
k--; /* even rounding */
/* Overflow cases. Note that with the above choices:
_ t?[0] == minval(type)
_ t?[1] == maxval(type)
*/
overflow = (i == 0 && k < 0) || (i == 1 && k > 0);
/* Expected flags. Note that in case of overflow, only the
erange flag is set. Otherwise, the result is inexact iff
j mod 1 != 0, i.e. the last two bits are not 00. */
ex_flags = overflow ? MPFR_FLAGS_ERANGE
: ((unsigned int) j & 3) != 0 ? MPFR_FLAGS_INEXACT : 0;
mpfr_clear_flags ();
#define GET_TESTS_TEST(TYPE,TZ,F,C,FMT) \
do { \
TYPE a, d; \
\
a = TZ[i] + (overflow ? 0 : k); \
if (e) \
{ \
mpfr_exp_t ex; \
ex = MPFR_GET_EXP (x); \
set_emin (ex); \
set_emax (ex); \
} \
d = F (x, (mpfr_rnd_t) r); \
flags = __gmpfr_flags; \
set_emin (emin); \
set_emax (emax); \
if (flags != ex_flags || a != d) \
{ \
printf ("Error in get_tests for " #F " on %s%s\n", \
mpfr_print_rnd_mode ((mpfr_rnd_t) r), \
e ? ", reduced exponent range" : ""); \
printf ("x = t" C "[%d] + (%d/4) = ", i, j); \
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); \
printf ("\n--> k = %d\n", k); \
printf ("Expected %l" FMT "\n", a); \
printf ("Got %l" FMT "\n", d); \
printf ("Expected flags:"); \
flags_out (ex_flags); \
printf ("Got flags: "); \
flags_out (flags); \
exit (1); \
} \
} while (0)
for (e = 0; e < 2; e++)
{
if (e && MPFR_IS_ZERO (x))
break;
if (s)
GET_TESTS_TEST (long,
ts, mpfr_get_si, "s", "d");
else
GET_TESTS_TEST (unsigned long,
tu, mpfr_get_ui, "u", "u");
}
}
inex = mpfr_add (x, x, z, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
}
}
/* Check that we have tested everything: 8 = 5 + 3 integers t?[i]
* with 17 = 8 - (-8) + 1 additional terms (j/4) for each integer,
* and each non-RNDF rounding mode.
*/
MPFR_ASSERTN (ctr == 8 * 17 * ((int) MPFR_RND_MAX - 1));
mpfr_clear (x);
mpfr_clear (z);
}
/* FIXME: Comparing against mpfr_get_si/ui is not ideal, it'd be better to
have all tests examine the bits in mpfr_t for what should come out. */
int
main (int argc, char *argv[])
{
mpfr_t x;
long k, z, d, N;
unsigned long zl, dl;
int inex;
int r;
mpfr_exp_t emin, emax;
int flag;
tests_start_mpfr ();
get_tests ();
mpfr_init2 (x, 100);
N = (argc == 1) ? 100000 : atol (argv[1]);
for (k = 1; k <= N; k++)
{
z = (long) (randlimb () & LONG_MAX) + LONG_MIN / 2;
inex = mpfr_set_si (x, z, MPFR_RNDZ);
d = mpfr_get_si (x, MPFR_RNDZ);
if (d != z)
{
printf ("Error in mpfr_set_si: expected %ld got %ld\n", z, d);
exit (1);
}
if (inex)
{
printf ("Error in mpfr_set_si: inex value incorrect for %ld: %d\n",
z, inex);
exit (1);
}
}
for (k = 1; k <= N; k++)
{
zl = randlimb ();
inex = mpfr_set_ui (x, zl, MPFR_RNDZ);
dl = mpfr_get_ui (x, MPFR_RNDZ);
if (dl != zl)
{
printf ("Error in mpfr_set_ui: expected %lu got %lu\n", zl, dl);
exit (1);
}
if (inex)
{
printf ("Error in mpfr_set_ui: inex value incorrect for %lu: %d\n",
zl, inex);
exit (1);
}
}
mpfr_set_prec (x, 2);
if (mpfr_set_si (x, 5, MPFR_RNDZ) >= 0)
{
printf ("Wrong inexact flag for x=5, rnd=MPFR_RNDZ\n");
exit (1);
}
mpfr_set_prec (x, 2);
if (mpfr_set_si (x, -5, MPFR_RNDZ) <= 0)
{
printf ("Wrong inexact flag for x=-5, rnd=MPFR_RNDZ\n");
exit (1);
}
mpfr_set_prec (x, 3);
inex = mpfr_set_si (x, 77617, MPFR_RNDD); /* should be 65536 */
if (MPFR_MANT(x)[0] != MPFR_LIMB_HIGHBIT || inex >= 0)
{
printf ("Error in mpfr_set_si(x:3, 77617, MPFR_RNDD)\n");
mpfr_dump (x);
exit (1);
}
inex = mpfr_set_ui (x, 77617, MPFR_RNDD); /* should be 65536 */
if (MPFR_MANT(x)[0] != MPFR_LIMB_HIGHBIT || inex >= 0)
{
printf ("Error in mpfr_set_ui(x:3, 77617, MPFR_RNDD)\n");
mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 2);
inex = mpfr_set_si (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152 || inex <= 0)
{
printf ("Error in mpfr_set_si, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
inex = mpfr_set_ui (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152)
{
printf ("Error in mpfr_set_ui, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
/* Also test the mpfr_set_ui function (instead of macro). */
inex = (mpfr_set_ui) (x, 33096, MPFR_RNDU);
if (mpfr_get_si (x, MPFR_RNDZ) != 49152)
{
printf ("Error in mpfr_set_ui function, exp. 49152, got %ld, inex %d\n",
mpfr_get_si (x, MPFR_RNDZ), inex);
exit (1);
}
for (r = 0 ; r < MPFR_RND_MAX ; r++)
{
mpfr_set_si (x, -1, (mpfr_rnd_t) r);
mpfr_set_ui (x, 0, (mpfr_rnd_t) r);
if (MPFR_IS_NEG (x) || mpfr_get_ui (x, (mpfr_rnd_t) r) != 0)
{
printf ("mpfr_set_ui (x, 0) gives -0 for %s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
mpfr_set_si (x, -1, (mpfr_rnd_t) r);
mpfr_set_si (x, 0, (mpfr_rnd_t) r);
if (MPFR_IS_NEG (x) || mpfr_get_si (x, (mpfr_rnd_t) r) != 0)
{
printf ("mpfr_set_si (x, 0) gives -0 for %s\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
}
/* check potential bug in case mp_limb_t is unsigned */
emax = mpfr_get_emax ();
set_emax (0);
mpfr_set_si (x, -1, MPFR_RNDN);
if (mpfr_sgn (x) >= 0)
{
printf ("mpfr_set_si (x, -1) fails\n");
exit (1);
}
set_emax (emax);
emax = mpfr_get_emax ();
set_emax (5);
mpfr_set_prec (x, 2);
mpfr_set_si (x, -31, MPFR_RNDN);
if (mpfr_sgn (x) >= 0)
{
printf ("mpfr_set_si (x, -31) fails\n");
exit (1);
}
set_emax (emax);
/* test for get_ui */
mpfr_set_ui (x, 0, MPFR_RNDN);
MPFR_ASSERTN(mpfr_get_ui (x, MPFR_RNDN) == 0);
mpfr_set_ui (x, ULONG_MAX, MPFR_RNDU);
mpfr_nextabove (x);
mpfr_get_ui (x, MPFR_RNDU);
/* another test for get_ui */
mpfr_set_prec (x, 10);
mpfr_set_str_binary (x, "10.101");
dl = mpfr_get_ui (x, MPFR_RNDN);
MPFR_ASSERTN (dl == 3);
mpfr_set_str_binary (x, "-1.0");
mpfr_get_ui (x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1");
dl = mpfr_get_ui (x, MPFR_RNDN);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDZ);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDD);
MPFR_ASSERTN (dl == 0);
dl = mpfr_get_ui (x, MPFR_RNDU);
MPFR_ASSERTN (dl == 1);
/* coverage tests */
mpfr_set_prec (x, 2);
mpfr_set_si (x, -7, MPFR_RNDD);
MPFR_ASSERTN(mpfr_cmp_si (x, -8) == 0);
mpfr_set_prec (x, 2);
mpfr_set_ui (x, 7, MPFR_RNDU);
MPFR_ASSERTN(mpfr_cmp_ui (x, 8) == 0);
emax = mpfr_get_emax ();
set_emax (3);
mpfr_set_ui (x, 7, MPFR_RNDU);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (1);
MPFR_ASSERTN( mpfr_set_ui (x, 7, MPFR_RNDU) );
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (emax);
mpfr_set_ui_2exp (x, 17, -50, MPFR_RNDN);
MPFR_ASSERTN (mpfr_get_ui (x, MPFR_RNDD) == 0);
MPFR_ASSERTN (mpfr_get_si (x, MPFR_RNDD) == 0);
/* Test for ERANGE flag + correct behavior if overflow */
mpfr_set_prec (x, 256);
mpfr_set_ui (x, ULONG_MAX, MPFR_RNDN);
mpfr_clear_erangeflag ();
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != ULONG_MAX || mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + ULONG_MAX (1)\n");
exit (1);
}
mpfr_add_ui (x, x, 1, MPFR_RNDN);
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != ULONG_MAX || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + ULONG_MAX (2)\n");
exit (1);
}
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_clear_erangeflag ();
dl = mpfr_get_ui (x, MPFR_RNDN);
if (dl != 0 || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_ui + ERANGE + -1 \n");
exit (1);
}
mpfr_set_si (x, LONG_MAX, MPFR_RNDN);
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MAX || mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MAX (1): %ld\n", d);
exit (1);
}
mpfr_add_ui (x, x, 1, MPFR_RNDN);
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MAX || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MAX (2)\n");
exit (1);
}
mpfr_set_si (x, LONG_MIN, MPFR_RNDN);
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MIN || mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MIN (1)\n");
exit (1);
}
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
d = mpfr_get_si (x, MPFR_RNDN);
if (d != LONG_MIN || !mpfr_erangeflag_p ())
{
printf ("ERROR for get_si + ERANGE + LONG_MIN (2)\n");
exit (1);
}
mpfr_set_nan (x);
mpfr_clear_flags ();
d = mpfr_get_ui (x, MPFR_RNDN);
if (d != 0 || __gmpfr_flags != MPFR_FLAGS_ERANGE)
{
printf ("ERROR for get_ui + NaN\n");
exit (1);
}
mpfr_clear_erangeflag ();
d = mpfr_get_si (x, MPFR_RNDN);
if (d != 0 || __gmpfr_flags != MPFR_FLAGS_ERANGE)
{
printf ("ERROR for get_si + NaN\n");
exit (1);
}
emin = mpfr_get_emin ();
mpfr_set_prec (x, 2);
mpfr_set_emin (4);
mpfr_clear_flags ();
mpfr_set_ui (x, 7, MPFR_RNDU);
flag = mpfr_underflow_p ();
mpfr_set_emin (emin);
if (mpfr_cmp_ui (x, 8) != 0)
{
printf ("Error for mpfr_set_ui (x, 7, MPFR_RNDU), prec = 2, emin = 4\n");
exit (1);
}
if (flag)
{
printf ("mpfr_set_ui (x, 7, MPFR_RNDU) should not underflow "
"with prec = 2, emin = 4\n");
exit (1);
}
mpfr_set_emin (4);
mpfr_clear_flags ();
mpfr_set_si (x, -7, MPFR_RNDD);
flag = mpfr_underflow_p ();
mpfr_set_emin (emin);
if (mpfr_cmp_si (x, -8) != 0)
{
printf ("Error for mpfr_set_si (x, -7, MPFR_RNDD), prec = 2, emin = 4\n");
exit (1);
}
if (flag)
{
printf ("mpfr_set_si (x, -7, MPFR_RNDD) should not underflow "
"with prec = 2, emin = 4\n");
exit (1);
}
mpfr_clear (x);
test_2exp ();
test_macros ();
test_macros_keyword ();
test_get_ui_smallneg ();
tests_end_mpfr ();
return 0;
}