/* Test file for mpfr_get_d Copyright 1999-2015 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 "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) { #if !defined(MPFR_ERRDIVZERO) double var_d; long exp; mpfr_t var; 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; }