--- /dev/null
+/* 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 2.1 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, 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), GMP_RNDN); \
+ printf ("\n"); \
+ if ((void *) U != 0) \
+ { \
+ printf ("u = "); \
+ mpfr_out_str (stdout, 2, 0, (U), GMP_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), GMP_RNDN); \
+ printf ("\n"); \
+ if (U) \
+ { \
+ printf ("u = "); \
+ mpfr_out_str (stdout, 2, 0, (U), GMP_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
+ mp_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, GMP_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, GMP_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, GMP_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, GMP_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
+#if defined(TWO_ARGS)
+ 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, GMP_RNDN);
+#ifdef TWO_ARGS
+ printf ("\nu=");
+ mpfr_out_str (stdout, 2, xprec, u, GMP_RNDN);
+#elif defined(DOUBLE_ARG1) || defined(DOUBLE_ARG2)
+ printf ("\nu=");
+ mpfr_out_str (stdout, 2, IEEE_DBL_MANT_DIG, u, GMP_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, GMP_RNDN);
+ puts ("");
+ printf ("expected ");
+ mpfr_out_str (stdout, 2, prec, t, GMP_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
projects / msp430-gcc.git / blobdiff