/* Test file for mpfr_set_ld and mpfr_get_ld. Copyright 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 #include #include #include #include #if WITH_FPU_CONTROL #include #endif #include "mpfr-test.h" static void check_gcc33_bug (void) { volatile long double x; x = (long double) 9007199254740992.0 + 1.0; if (x != 0.0) return; /* OK */ printf ("Detected optimization bug of gcc 3.3 on Alpha concerning long double\n" "comparisons; set_ld tests are disabled (set_ld won't work correctly).\n" "See http://gcc.gnu.org/ml/gcc-bugs/2003-10/msg00853.html for more\n" "information on this bug.\n"); exit (0); /* This is not a bug in MPFR, so don't fail. */ } static int Isnan_ld (long double d) { LONGDOUBLE_NAN_ACTION (d, goto yes); return 0; yes: return 1; } /* checks that a long double converted to a mpfr (with precision >=113), then converted back to a long double gives the initial value, or in other words mpfr_get_ld(mpfr_set_ld(d)) = d. */ static void check_set_get (long double d, mpfr_t x) { int r; long double e; int inex; for (r = 0; r < GMP_RND_MAX; r++) { inex = mpfr_set_ld (x, d, (mp_rnd_t) r); if (inex != 0) { printf ("Error: mpfr_set_ld should be exact\n"); printf ("d=%1.30Le inex=%d\n", d, inex); printf ("emin=%ld emax=%ld\n", mpfr_get_emin (), mpfr_get_emax ()); mpfr_dump (x); exit (1); } e = mpfr_get_ld (x, (mp_rnd_t) r); if (e != d && !(Isnan_ld(e) && Isnan_ld(d))) { printf ("Error: mpfr_get_ld o mpfr_set_ld <> Id\n"); printf (" r=%d\n", r); printf (" d=%1.30Le get_ld(set_ld(d))=%1.30Le\n", d, e); ld_trace (" d", d); printf (" x="); mpfr_out_str (NULL, 16, 0, x, GMP_RNDN); printf ("\n"); ld_trace (" e", e); exit (1); } } } static void test_small (void) { mpfr_t x, y, z; long double d; mpfr_init2 (x, 64); mpfr_init2 (y, 64); mpfr_init2 (z, 64); /* x = 11906603631607553907/2^(16381+64) */ mpfr_set_str (x, "0.1010010100111100110000001110101101000111010110000001111101110011E-16381", 2, GMP_RNDN); d = mpfr_get_ld (x, GMP_RNDN); /* infinite loop? */ mpfr_set_ld (y, d, GMP_RNDN); mpfr_sub (z, x, y, GMP_RNDN); mpfr_abs (z, z, GMP_RNDN); mpfr_clear_erangeflag (); /* If long double = double, d should be equal to 0; in this case, everything is OK. */ if (d != 0 && (mpfr_cmp_str (z, "1E-16434", 2, GMP_RNDN) > 0 || mpfr_erangeflag_p ())) { printf ("Error with x = "); mpfr_out_str (NULL, 10, 21, x, GMP_RNDN); printf (" = "); mpfr_out_str (NULL, 16, 0, x, GMP_RNDN); printf ("\n -> d = %.21Lg", d); printf ("\n -> y = "); mpfr_out_str (NULL, 10, 21, y, GMP_RNDN); printf (" = "); mpfr_out_str (NULL, 16, 0, y, GMP_RNDN); printf ("\n -> |x-y| = "); mpfr_out_str (NULL, 16, 0, z, GMP_RNDN); printf ("\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } int main (int argc, char *argv[]) { long double d, e; mpfr_t x; int i; mp_exp_t emax; #if WITH_FPU_CONTROL fpu_control_t cw; if (argc > 1) { cw = strtol(argv[1], NULL, 0); printf ("FPU control word: 0x%x\n", (unsigned int) cw); _FPU_SETCW (cw); } #endif check_gcc33_bug (); tests_start_mpfr (); mpfr_test_init (); mpfr_init2 (x, MPFR_LDBL_MANT_DIG); /* check +0.0 and -0.0 */ d = 0.0; check_set_get (d, x); d = DBL_NEG_ZERO; check_set_get (d, x); /* checks that sign of -0.0 is set */ mpfr_set_ld (x, DBL_NEG_ZERO, GMP_RNDN); if (MPFR_SIGN(x) > 0) { printf ("Error: sign of -0.0 is not set correctly\n"); #if _GMP_IEEE_FLOATS exit (1); /* Non IEEE doesn't support negative zero yet */ #endif } /* checks NaN, Inf and -Inf */ mpfr_set_nan (x); d = mpfr_get_ld (x, GMP_RNDN); check_set_get (d, x); mpfr_set_inf (x, 1); d = mpfr_get_ld (x, GMP_RNDN); check_set_get (d, x); mpfr_set_inf (x, -1); d = mpfr_get_ld (x, GMP_RNDN); check_set_get (d, x); /* checks the largest power of two */ d = 1.0; while (d < LDBL_MAX / 2.0) d += d; check_set_get (d, x); check_set_get (-d, x); /* checks largest long double */ d = LDBL_MAX; check_set_get (d, x); check_set_get (-d, x); /* checks the smallest power of two */ d = 1.0; while ((e = d / 2.0) != (long double) 0.0 && e != d) d = e; check_set_get (d, x); check_set_get (-d, x); /* checks largest 2^(2^k) that is representable as a long double */ d = (LDBL_MAX / 2) + (LDBL_MAX / 4 * LDBL_EPSILON); check_set_get (d, x); /* checks that 2^i, 2^i+1 and 2^i-1 are correctly converted */ d = 1.0; for (i = 1; i < MPFR_LDBL_MANT_DIG; i++) { d = 2.0 * d; /* d = 2^i */ check_set_get (d, x); check_set_get (d + 1.0, x); check_set_get (d - 1.0, x); } for (i = 0; i < 10000; i++) { mpfr_random (x); d = mpfr_get_ld (x, GMP_RNDN); check_set_get (d, x); } /* check with reduced emax to exercise overflow */ emax = mpfr_get_emax (); mpfr_set_prec (x, 2); set_emax (1); mpfr_set_ld (x, (long double) 2.0, GMP_RNDN); MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0); for (d = (long double) 2.0, i = 0; i < 13; i++, d *= d); /* now d = 2^8192 */ mpfr_set_ld (x, d, GMP_RNDN); MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0); set_emax (emax); mpfr_clear (x); test_small (); tests_end_mpfr (); return 0; }