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|
/* Generic test file for functions with one or two arguments (the second being
either mpfr_t or double).
Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao 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.LIB. 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. */
/* define TWO_ARGS for two-argument functions like mpfr_pow
define DOUBLE_ARG1 or DOUBLE_ARG2 for function with a double operand in
first or second place like sub_d or d_sub */
#ifndef TEST_RANDOM_POS
/* For the random function: one number on two is negative. */
#define TEST_RANDOM_POS 256
#endif
#ifndef TEST_RANDOM_POS2
/* For the random function: one number on two is negative. */
#define TEST_RANDOM_POS2 256
#endif
#ifndef TEST_RANDOM_EMIN
#define TEST_RANDOM_EMIN -256
#endif
#ifndef TEST_RANDOM_EMAX
#define TEST_RANDOM_EMAX 255
#endif
/* The (void *) below is needed to avoid a warning with gcc 4.2+ and functions
* with 2 arguments. See <http://gcc.gnu.org/bugzilla/show_bug.cgi?id=36299>.
*/
#define TGENERIC_FAIL(S, X, U) \
do \
{ \
printf ("%s\nx = ", (S)); \
mpfr_out_str (stdout, 2, 0, (X), MPFR_RNDN); \
printf ("\n"); \
if ((void *) U != 0) \
{ \
printf ("u = "); \
mpfr_out_str (stdout, 2, 0, (U), MPFR_RNDN); \
printf ("\n"); \
} \
printf ("yprec = %u, rnd_mode = %s, inexact = %d, flags = %u\n", \
(unsigned int) yprec, mpfr_print_rnd_mode (rnd), compare, \
(unsigned int) __gmpfr_flags); \
exit (1); \
} \
while (0)
#undef TGENERIC_CHECK
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
#define TGENERIC_CHECK(S, EXPR) \
do if (!(EXPR)) TGENERIC_FAIL (S, x, u); while (0)
#else
#define TGENERIC_CHECK(S, EXPR) \
do if (!(EXPR)) TGENERIC_FAIL (S, x, 0); while (0)
#endif
#ifdef DEBUG_TGENERIC
#define STR(F) #F
#define TGENERIC_IAUX(F,P,X,U) \
do \
{ \
printf ("tgeneric: testing function " STR(F) \
", %s, target prec = %lu\nx = ", \
mpfr_print_rnd_mode (rnd), (unsigned long) (P)); \
mpfr_out_str (stdout, 2, 0, (X), MPFR_RNDN); \
printf ("\n"); \
if (U) \
{ \
printf ("u = "); \
mpfr_out_str (stdout, 2, 0, (U), MPFR_RNDN); \
printf ("\n"); \
} \
} \
while (0)
#undef TGENERIC_INFO
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
#define TGENERIC_INFO(F,P) TGENERIC_IAUX(F,P,x,u)
#else
#define TGENERIC_INFO(F,P) TGENERIC_IAUX(F,P,x,0)
#endif
#endif
/* For some functions (for example cos), the argument reduction is too
expensive when using mpfr_get_emax(). Then simply define REDUCE_EMAX
to some reasonable value before including tgeneric.c. */
#ifndef REDUCE_EMAX
#define REDUCE_EMAX mpfr_get_emax ()
#endif
static void
test_generic (mp_prec_t p0, mp_prec_t p1, unsigned int N)
{
mp_prec_t prec, xprec, yprec;
mpfr_t x, y, z, t;
#ifdef TWO_ARGS
mpfr_t u;
#elif defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_t u;
double d;
#endif
mpfr_rnd_t rnd;
int inexact, compare, compare2;
unsigned int n;
unsigned long ctrt = 0, ctrn = 0;
mp_exp_t old_emin, old_emax;
old_emin = mpfr_get_emin ();
old_emax = mpfr_get_emax ();
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_init (u);
#endif
/* generic test */
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
mpfr_set_prec (y, yprec);
/* Note: in precision p1, we test 4 special cases. */
for (n = 0; n < (prec == p1 ? N + 4 : N); n++)
{
xprec = prec;
if (randlimb () & 1)
{
xprec *= (double) randlimb () / MP_LIMB_T_MAX;
if (xprec < MPFR_PREC_MIN)
xprec = MPFR_PREC_MIN;
}
mpfr_set_prec (x, xprec);
#ifdef TWO_ARGS
mpfr_set_prec (u, xprec);
#elif defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_set_prec (u, IEEE_DBL_MANT_DIG);
#endif
if (n > 3 || prec < p1)
{
#if defined(RAND_FUNCTION)
RAND_FUNCTION (x);
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
RAND_FUNCTION (u);
#endif
#else
tests_default_random (x, TEST_RANDOM_POS,
TEST_RANDOM_EMIN, TEST_RANDOM_EMAX);
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
tests_default_random (u, TEST_RANDOM_POS2,
TEST_RANDOM_EMIN, TEST_RANDOM_EMAX);
#endif
#endif
}
else
{
/* Special cases tested in precision p1 if n <= 3. They are
useful really in the extended exponent range. */
set_emin (MPFR_EMIN_MIN);
set_emax (MPFR_EMAX_MAX);
if (n <= 1)
{
mpfr_set_si (x, n == 0 ? 1 : -1, MPFR_RNDN);
mpfr_set_exp (x, mpfr_get_emin ());
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_set_si (u, randlimb () % 2 == 0 ? 1 : -1, MPFR_RNDN);
mpfr_set_exp (u, mpfr_get_emin ());
#endif
}
else /* 2 <= n <= 3 */
{
if (getenv ("MPFR_CHECK_MAX") == NULL)
goto next_n;
mpfr_set_si (x, n == 0 ? 1 : -1, MPFR_RNDN);
mpfr_setmax (x, REDUCE_EMAX);
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_set_si (u, randlimb () % 2 == 0 ? 1 : -1, MPFR_RNDN);
mpfr_setmax (u, mpfr_get_emax ());
#endif
}
}
rnd = RND_RAND ();
mpfr_clear_flags ();
#ifdef DEBUG_TGENERIC
TGENERIC_INFO (TEST_FUNCTION, MPFR_PREC (y));
#endif
#if defined(TWO_ARGS)
compare = TEST_FUNCTION (y, x, u, rnd);
#elif defined(DOUBLE_ARG1)
d = mpfr_get_d (u, rnd);
compare = TEST_FUNCTION (y, d, x, rnd);
#elif defined(DOUBLE_ARG2)
d = mpfr_get_d (u, rnd);
compare = TEST_FUNCTION (y, x, d, rnd);
#else
compare = TEST_FUNCTION (y, x, rnd);
#endif
TGENERIC_CHECK ("Bad inexact flag",
(compare != 0) ^ (mpfr_inexflag_p () == 0));
ctrt++;
if (MPFR_IS_SINGULAR (y))
{
if (MPFR_IS_NAN (y) || mpfr_nanflag_p ())
TGENERIC_CHECK ("Bad NaN flag",
MPFR_IS_NAN (y) && mpfr_nanflag_p ());
else if (MPFR_IS_INF (y))
TGENERIC_CHECK ("Bad overflow flag",
(compare != 0) ^ (mpfr_overflow_p () == 0));
else if (MPFR_IS_ZERO (y))
TGENERIC_CHECK ("Bad underflow flag",
(compare != 0) ^ (mpfr_underflow_p () == 0));
}
else if (mpfr_overflow_p ())
{
TGENERIC_CHECK ("Bad compare value (overflow)", compare != 0);
mpfr_nexttoinf (y);
TGENERIC_CHECK ("Should have been max MPFR number",
MPFR_IS_INF (y));
}
else if (mpfr_underflow_p ())
{
TGENERIC_CHECK ("Bad compare value (underflow)", compare != 0);
mpfr_nexttozero (y);
TGENERIC_CHECK ("Should have been min MPFR number",
MPFR_IS_ZERO (y));
}
else if (mpfr_can_round (y, yprec, rnd, rnd, prec))
{
ctrn++;
mpfr_set (t, y, rnd);
/* Risk of failures are known when some flags are already set
before the function call. Do not set the erange flag, as
it will remain set after the function call and no checks
are performed in such a case (see the mpfr_erangeflag_p
test below). */
if (randlimb () & 1)
__gmpfr_flags = MPFR_FLAGS_ALL ^ MPFR_FLAGS_ERANGE;
#ifdef DEBUG_TGENERIC
TGENERIC_INFO (TEST_FUNCTION, MPFR_PREC (z));
#endif
/* Let's increase the precision of the inputs in a random way.
In most cases, this doesn't make any difference, but for
the mpfr_fmod bug fixed in r6230, this triggers the bug. */
mpfr_prec_round (x, mpfr_get_prec (x) + (randlimb () & 15),
MPFR_RNDN);
#if defined(TWO_ARGS)
mpfr_prec_round (u, mpfr_get_prec (u) + (randlimb () & 15),
MPFR_RNDN);
inexact = TEST_FUNCTION (z, x, u, rnd);
#elif defined(DOUBLE_ARG1)
inexact = TEST_FUNCTION (z, d, x, rnd);
#elif defined(DOUBLE_ARG2)
inexact = TEST_FUNCTION (z, x, d, rnd);
#else
inexact = TEST_FUNCTION (z, x, rnd);
#endif
if (mpfr_erangeflag_p ())
goto next_n;
if (mpfr_nan_p (z) || mpfr_cmp (t, z) != 0)
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, xprec, x, MPFR_RNDN);
#ifdef TWO_ARGS
printf ("\nu=");
mpfr_out_str (stdout, 2, xprec, u, MPFR_RNDN);
#elif defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
printf ("\nu=");
mpfr_out_str (stdout, 2, IEEE_DBL_MANT_DIG, u, MPFR_RNDN);
#endif
printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
mpfr_print_rnd_mode (rnd));
printf ("got ");
mpfr_out_str (stdout, 2, prec, z, MPFR_RNDN);
puts ("");
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, MPFR_RNDN);
puts ("");
printf ("approx ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
compare2 = mpfr_cmp (t, y);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if (compare * compare2 >= 0)
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d"
"\n", mpfr_print_rnd_mode (rnd), compare, inexact);
printf ("x="); mpfr_print_binary (x); puts ("");
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
printf ("u="); mpfr_print_binary (u); puts ("");
#endif
printf ("y="); mpfr_print_binary (y); puts ("");
printf ("t="); mpfr_print_binary (t); puts ("");
exit (1);
}
}
else if (getenv ("MPFR_SUSPICIOUS_OVERFLOW") != NULL)
{
/* For developers only! */
MPFR_ASSERTN (MPFR_IS_PURE_FP (y));
mpfr_nexttoinf (y);
if (MPFR_IS_INF (y) && MPFR_IS_LIKE_RNDZ (rnd, MPFR_IS_NEG (y))
&& !mpfr_overflow_p ())
{
printf ("Possible bug! |y| is the maximum finite number "
"and has been obtained when\nrounding toward zero"
" (%s). Thus there is a very probable overflow,\n"
"but the overflow flag is not set!\n",
mpfr_print_rnd_mode (rnd));
printf ("x="); mpfr_print_binary (x); puts ("");
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
printf ("u="); mpfr_print_binary (u); puts ("");
#endif
exit (1);
}
}
next_n:
/* In case the exponent range has been changed by
tests_default_random() or for special values... */
mpfr_set_emin (old_emin);
mpfr_set_emax (old_emax);
}
}
#ifndef TGENERIC_NOWARNING
if (3 * ctrn < 2 * ctrt)
printf ("Warning! Too few normal cases in generic tests (%lu / %lu)\n",
ctrn, ctrt);
#endif
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
#if defined(TWO_ARGS) || defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
mpfr_clear (u);
#endif
}
#undef TEST_RANDOM_POS
#undef TEST_RANDOM_POS2
#undef TEST_RANDOM_EMIN
#undef TEST_RANDOM_EMAX
#undef RAND_FUNCTION
#undef TWO_ARGS
#undef TWO_ARGS_UI
#undef TEST_FUNCTION
#undef test_generic
|
