/* Test file for mpfr_get_d Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 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 "mpfr-test.h" #include "ieee_floats.h" static int check_denorms (void) { mpfr_rnd_t rnd_mode; mpfr_t x; double d, d2, dd, f; int fail = 0, k, n; mpfr_init2 (x, GMP_NUMB_BITS); rnd_mode = MPFR_RNDN; for (k = -17; k <= 17; k += 2) { d = (double) k * DBL_MIN; /* k * 2^(-1022) */ f = 1.0; mpfr_set_si (x, k, MPFR_RNDN); mpfr_div_2exp (x, x, 1022, MPFR_RNDN); /* k * 2^(-1022) */ for (n = 0; n <= 58; n++) { d2 = d * f; dd = mpfr_get_d (x, rnd_mode); if (d2 != dd) /* should be k * 2^(-1022-n) for n < 53 */ { printf ("Wrong result for %d * 2^(%d), rnd_mode %d\n", k, -1022-n, rnd_mode); printf ("got %.20e instead of %.20e\n", dd, d2); fail = 1; } f *= 0.5; mpfr_div_2exp (x, x, 1, MPFR_RNDN); } } mpfr_set_str_binary (x, "1e-1074"); dd = mpfr_get_d (x, MPFR_RNDA); d2 = DBL_MIN; /* 2^(-1022) */ for (k = 0; k < 52; k++) d2 *= 0.5; /* 2^(-1074) */ /* we first check that d2 is not zero (it could happen on a platform with no subnormals) */ if (d2 != 0.0 && dd != d2) { printf ("Error for x=1e-1074, RNDA\n"); exit (1); } mpfr_set_str_binary (x, "1e-1075"); dd = mpfr_get_d (x, MPFR_RNDA); if (d2 != 0.0 && dd != d2) { printf ("Error for x=1e-1075, RNDA\n"); printf ("expected %.16e\n", d2); printf ("got %.16e\n", dd); exit (1); } mpfr_clear (x); return fail; } static void check_inf_nan (void) { /* only if nans and infs are available */ #if _GMP_IEEE_FLOATS && !defined(MPFR_ERRDIVZERO) mpfr_t x; double d; mpfr_init2 (x, 123); mpfr_set_inf (x, 1); d = mpfr_get_d (x, MPFR_RNDZ); ASSERT_ALWAYS (d > 0); ASSERT_ALWAYS (DOUBLE_ISINF (d)); mpfr_set_inf (x, -1); d = mpfr_get_d (x, MPFR_RNDZ); ASSERT_ALWAYS (d < 0); ASSERT_ALWAYS (DOUBLE_ISINF (d)); mpfr_set_nan (x); d = mpfr_get_d (x, MPFR_RNDZ); ASSERT_ALWAYS (DOUBLE_ISNAN (d)); mpfr_clear (x); #endif } static void check_max (void) { double d, e; mpfr_t u; d = 1.0; while (d < (DBL_MAX / 2.0)) d += d; mpfr_init (u); if (mpfr_set_d (u, d, MPFR_RNDN) == 0) { /* If setting is exact */ e = (mpfr_get_d1) (u); if (e != d) { printf ("get_d(set_d)(1): %1.20e != %1.20e\n", d, e); exit (1); } } mpfr_set_str_binary (u, "-1E1024"); d = mpfr_get_d (u, MPFR_RNDZ); MPFR_ASSERTN(d == -DBL_MAX); d = mpfr_get_d (u, MPFR_RNDU); MPFR_ASSERTN(d == -DBL_MAX); #if _GMP_IEEE_FLOATS && !defined(MPFR_ERRDIVZERO) d = mpfr_get_d (u, MPFR_RNDN); MPFR_ASSERTN(DOUBLE_ISINF(d) && d < 0.0); d = mpfr_get_d (u, MPFR_RNDD); MPFR_ASSERTN(DOUBLE_ISINF(d) && d < 0.0); #endif mpfr_set_str_binary (u, "1E1024"); d = mpfr_get_d (u, MPFR_RNDZ); MPFR_ASSERTN(d == DBL_MAX); d = mpfr_get_d (u, MPFR_RNDD); MPFR_ASSERTN(d == DBL_MAX); #if _GMP_IEEE_FLOATS && !defined(MPFR_ERRDIVZERO) d = mpfr_get_d (u, MPFR_RNDN); MPFR_ASSERTN(DOUBLE_ISINF(d) && d > 0.0); d = mpfr_get_d (u, MPFR_RNDU); MPFR_ASSERTN(DOUBLE_ISINF(d) && d > 0.0); #endif mpfr_clear (u); } static void check_min(void) { double d, e; mpfr_t u; d = 1.0; while (d > (DBL_MIN * 2.0)) d /= 2.0; mpfr_init(u); if (mpfr_set_d(u, d, MPFR_RNDN) == 0) { /* If setting is exact */ e = mpfr_get_d1(u); if (e != d) { printf("get_d(set_d)(2): %1.20e != %1.20e\n", d, e); exit(1); } } mpfr_clear(u); } static void check_get_d_2exp_inf_nan (void) { double var_d; long exp; mpfr_t var; #if !defined(MPFR_ERRDIVZERO) mpfr_init2 (var, MPFR_PREC_MIN); mpfr_set_nan (var); var_d = mpfr_get_d_2exp (&exp, var, MPFR_RNDN); if (!DOUBLE_ISNAN (var_d)) { printf ("mpfr_get_d_2exp with a NAN mpfr value returned a wrong value :\n" " waiting for %g got %g\n", MPFR_DBL_NAN, var_d); exit (1); } mpfr_set_zero (var, 1); var_d = mpfr_get_d_2exp (&exp, var, MPFR_RNDN); if ((exp != 0) || (var_d != 0.0)) { printf ("mpfr_get_d_2exp with a +0.0 mpfr value returned a wrong value :\n" " double waiting for 0.0 got %g\n exp waiting for 0 got %ld\n", var_d, exp); exit (1); } mpfr_set_zero (var, -1); var_d = mpfr_get_d_2exp (&exp, var, MPFR_RNDN); if ((exp != 0) || (var_d != DBL_NEG_ZERO)) { printf ("mpfr_get_d_2exp with a +0.0 mpfr value returned a wrong value :\n" " double waiting for %g got %g\n exp waiting for 0 got %ld\n", DBL_NEG_ZERO, var_d, exp); exit (1); } mpfr_set_inf (var, 1); var_d = mpfr_get_d_2exp (&exp, var, MPFR_RNDN); if (var_d != MPFR_DBL_INFP) { printf ("mpfr_get_d_2exp with a +Inf mpfr value returned a wrong value :\n" " waiting for %g got %g\n", MPFR_DBL_INFP, var_d); exit (1); } mpfr_set_inf (var, -1); var_d = mpfr_get_d_2exp (&exp, var, MPFR_RNDN); if (var_d != MPFR_DBL_INFM) { printf ("mpfr_get_d_2exp with a -Inf mpfr value returned a wrong value :\n" " waiting for %g got %g\n", MPFR_DBL_INFM, var_d); exit (1); } mpfr_clear (var); #endif } int main (void) { tests_start_mpfr (); mpfr_test_init (); #ifndef MPFR_DOUBLE_SPEC printf ("Warning! The MPFR_DOUBLE_SPEC macro is not defined. This means\n" "that you do not have a conforming C implementation and problems\n" "may occur with conversions between MPFR numbers and standard\n" "floating-point types. Please contact the MPFR team.\n"); #elif MPFR_DOUBLE_SPEC == 0 /* printf ("The type 'double' of your C implementation does not seem to\n" "correspond to the IEEE-754 double precision. Though code has\n" "been written to support such implementations, tests have been\n" "done only on IEEE-754 double-precision implementations and\n" "conversions between MPFR numbers and standard floating-point\n" "types may be inaccurate. You may wish to contact the MPFR team\n" "for further testing.\n"); */ printf ("The type 'double' of your C implementation does not seem to\n" "correspond to the IEEE-754 double precision. Such particular\n" "implementations are not supported yet, and conversions between\n" "MPFR numbers and standard floating-point types may be very\n" "inaccurate.\n"); printf ("FLT_RADIX = %ld\n", (long) FLT_RADIX); printf ("DBL_MANT_DIG = %ld\n", (long) DBL_MANT_DIG); printf ("DBL_MIN_EXP = %ld\n", (long) DBL_MIN_EXP); printf ("DBL_MAX_EXP = %ld\n", (long) DBL_MAX_EXP); #endif if (check_denorms ()) exit (1); check_inf_nan (); check_min(); check_max(); check_get_d_2exp_inf_nan (); tests_end_mpfr (); return 0; }