| /* Test file for mpfr_set_ld and mpfr_get_ld. |
| |
| Copyright 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. */ |
| |
| #include <stdio.h> |
| #include <stdlib.h> |
| #include <float.h> |
| #include <limits.h> |
| #ifdef WITH_FPU_CONTROL |
| #include <fpu_control.h> |
| #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) |
| { |
| double e = (double) d; |
| if (DOUBLE_ISNAN (e)) |
| 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 < 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 ((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, GMP_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, 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; |
| #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 (); |
| |
| tests_start_mpfr (); |
| mpfr_test_init (); |
| |
| mpfr_init2 (x, MPFR_LDBL_MANT_DIG); |
| |
| /* check NaN */ |
| mpfr_set_nan (x); |
| d = mpfr_get_ld (x, GMP_RNDN); |
| check_set_get (d, x); |
| |
| /* 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, GMP_RNDN); |
| if (MPFR_SIGN(x) > 0) |
| { |
| printf ("Error: sign of -0.0 is not set correctly\n"); |
| #ifdef _GMP_IEEE_FLOATS |
| exit (1); |
| /* Non IEEE doesn't support negative zero yet */ |
| #endif |
| } |
| |
| /* check +Inf */ |
| mpfr_set_inf (x, 1); |
| d = mpfr_get_ld (x, GMP_RNDN); |
| check_set_get (d, x); |
| |
| /* check -Inf */ |
| mpfr_set_inf (x, -1); |
| d = mpfr_get_ld (x, GMP_RNDN); |
| check_set_get (d, x); |
| |
| /* 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, 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; |
| } |