/* Test file for mpfr_set_ld and mpfr_get_ld. Copyright 2002-2015 Free Software Foundation, Inc. Contributed by the AriC and Caramel 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 #include #include #include #ifdef 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 might fail (set_ld won't work correctly).\n" "See http://gcc.gnu.org/ml/gcc-bugs/2003-10/msg00853.html for more\n" "information.\n"); } static int Isnan_ld (long double d) { /* Do not convert d to double as this can give an overflow, which may confuse compilers without IEEE 754 support (such as clang -fsanitize=undefined), or trigger a trap if enabled. The DOUBLE_ISNAN macro should work fine on long double. */ if (DOUBLE_ISNAN (d)) return 1; 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 < MPFR_RND_MAX; r++) { inex = mpfr_set_ld (x, d, (mpfr_rnd_t) r); if (inex != 0) { mpfr_exp_t emin, emax; emin = mpfr_get_emin (); emax = mpfr_get_emax (); printf ("Error: mpfr_set_ld should be exact\n"); printf ("d=%1.30Le inex=%d\n", d, inex); if (emin >= LONG_MIN) printf ("emin=%ld\n", (long) emin); if (emax <= LONG_MAX) printf ("emax=%ld\n", (long) emax); mpfr_dump (x); exit (1); } e = mpfr_get_ld (x, (mpfr_rnd_t) r); if ((Isnan_ld(d) && ! Isnan_ld(e)) || (Isnan_ld(e) && ! Isnan_ld(d)) || (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, MPFR_RNDN); printf ("\n"); ld_trace (" e", e); #ifdef MPFR_NANISNAN if (Isnan_ld(d) || Isnan_ld(e)) printf ("The reason is that NAN == NAN. Please look at the " "configure output\nand Section \"In case of problem\" " "of the INSTALL file.\n"); #endif 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, MPFR_RNDN); d = mpfr_get_ld (x, MPFR_RNDN); /* infinite loop? */ mpfr_set_ld (y, d, MPFR_RNDN); mpfr_sub (z, x, y, MPFR_RNDN); mpfr_abs (z, z, MPFR_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, MPFR_RNDN) > 0 || mpfr_erangeflag_p ())) { printf ("Error with x = "); mpfr_out_str (NULL, 10, 21, x, MPFR_RNDN); printf (" = "); mpfr_out_str (NULL, 16, 0, x, MPFR_RNDN); printf ("\n -> d = %.21Lg", d); printf ("\n -> y = "); mpfr_out_str (NULL, 10, 21, y, MPFR_RNDN); printf (" = "); mpfr_out_str (NULL, 16, 0, y, MPFR_RNDN); printf ("\n -> |x-y| = "); mpfr_out_str (NULL, 16, 0, z, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } static void test_fixed_bugs (void) { mpfr_t x; long double l, m; /* bug found by Steve Kargl (2009-03-14) */ mpfr_init2 (x, 64); mpfr_set_ui_2exp (x, 1, -16447, MPFR_RNDN); mpfr_get_ld (x, MPFR_RNDN); /* an assertion failed in init2.c:50 */ /* bug reported by Jakub Jelinek (2010-10-17) https://gforge.inria.fr/tracker/?func=detail&aid=11300 */ mpfr_set_prec (x, MPFR_LDBL_MANT_DIG); /* l = 0x1.23456789abcdef0123456789abcdp-914L; */ l = 8.215640181713713164092636634579e-276; mpfr_set_ld (x, l, MPFR_RNDN); m = mpfr_get_ld (x, MPFR_RNDN); if (m != l) { printf ("Error in get_ld o set_ld for l=%Le\n", l); printf ("Got m=%Le instead of l\n", m); exit (1); } /* another similar test which failed with extended double precision and the generic code for mpfr_set_ld */ /* l = 0x1.23456789abcdef0123456789abcdp-968L; */ l = 4.560596445887084662336528403703e-292; mpfr_set_ld (x, l, MPFR_RNDN); m = mpfr_get_ld (x, MPFR_RNDN); if (m != l) { printf ("Error in get_ld o set_ld for l=%Le\n", l); printf ("Got m=%Le instead of l\n", m); exit (1); } mpfr_clear (x); } int main (int argc, char *argv[]) { long double d, e; mpfr_t x; int i; mpfr_exp_t emax; #ifdef 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 (); test_fixed_bugs (); tests_start_mpfr (); mpfr_test_init (); mpfr_init2 (x, MPFR_LDBL_MANT_DIG); #if !defined(MPFR_ERRDIVZERO) /* check NaN */ mpfr_set_nan (x); d = mpfr_get_ld (x, MPFR_RNDN); check_set_get (d, x); #endif /* check +0.0 and -0.0 */ d = 0.0; check_set_get (d, x); d = DBL_NEG_ZERO; check_set_get (d, x); /* check that the sign of -0.0 is set */ mpfr_set_ld (x, DBL_NEG_ZERO, MPFR_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 } #if !defined(MPFR_ERRDIVZERO) /* check +Inf */ mpfr_set_inf (x, 1); d = mpfr_get_ld (x, MPFR_RNDN); check_set_get (d, x); /* check -Inf */ mpfr_set_inf (x, -1); d = mpfr_get_ld (x, MPFR_RNDN); check_set_get (d, x); #endif /* check 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); /* check largest long double */ d = LDBL_MAX; check_set_get (d, x); check_set_get (-d, x); /* check 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); /* check 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); /* check 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_urandomb (x, RANDS); d = mpfr_get_ld (x, MPFR_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, MPFR_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, MPFR_RNDN); MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0); set_emax (emax); mpfr_clear (x); test_small (); tests_end_mpfr (); return 0; }