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      1 /* auxiliary functions for MPFR tests.
      2 
      3 Copyright 1999-2023 Free Software Foundation, Inc.
      4 Contributed by the AriC and Caramba projects, INRIA.
      5 
      6 This file is part of the GNU MPFR Library.
      7 
      8 The GNU MPFR Library is free software; you can redistribute it and/or modify
      9 it under the terms of the GNU Lesser General Public License as published by
     10 the Free Software Foundation; either version 3 of the License, or (at your
     11 option) any later version.
     12 
     13 The GNU MPFR Library is distributed in the hope that it will be useful, but
     14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
     15 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
     16 License for more details.
     17 
     18 You should have received a copy of the GNU Lesser General Public License
     19 along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
     20 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
     21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
     22 
     23 #ifndef __MPFR_TEST_H__
     24 #define __MPFR_TEST_H__
     25 
     26 /* Include config.h before using ANY configure macros if needed. */
     27 #ifdef HAVE_CONFIG_H
     28 # include "config.h"
     29 #endif
     30 
     31 /* The no assertion request doesn't apply to the tests */
     32 #if defined(MPFR_WANT_ASSERT)
     33 # if MPFR_WANT_ASSERT < 0
     34 #  undef MPFR_WANT_ASSERT
     35 # endif
     36 #endif
     37 
     38 #include "mpfr-impl.h"
     39 
     40 /* Avoid a GCC bug on Sparc, at least when using TLS. The MPFR library
     41  * itself is not affected, only a particular test. Normal code using
     42  * the MPFR library should not be affected either, as the bug occurs
     43  * when accessing __gmpfr_flags directly (and the public mpfr.h header
     44  * file does not provide any macro that accesses an internal variable
     45  * directly). So a workaround for the tests is the best solution.
     46  *
     47  * This bug, which could be observed under Debian with GCC 4.5.3 and
     48  * sparc-sun-solaris2.10 with GCC 5.5.0 when TLS and optimizations
     49  * are used[*], makes test programs using bad_cases() crash (SIGSEGV)
     50  * in this function at:
     51  *
     52  *   if (mpfr_nanflag_p () || mpfr_overflow_p () || mpfr_underflow_p ())
     53  *
     54  * Debugging shows that any attempt to access __gmpfr_flags directly
     55  * in the loop makes the program crash at this moment. This bug is not
     56  * present in the assembly code generated by -S, but is visible after a
     57  * normal compilation + link, when tracing the assembly code with gdb.
     58  * The workaround is to disable the macros from mpfr-impl.h that access
     59  * __gmpfr_flags directly. This bug may have been fixed in more recent
     60  * GCC versions, but it is safe to enable this workaround in all GCC
     61  * versions.
     62  *
     63  * [*] This is the default. Disabling TLS or recompiling the tests
     64  * without optimizations (-O0) makes the crash disappear.
     65  *
     66  * Mentions of these crashes:
     67  *   https://sympa.inria.fr/sympa/arc/mpfr/2011-10/msg00045.html [Debian]
     68  *   https://sympa.inria.fr/sympa/arc/mpfr/2011-10/msg00055.html [Debian]
     69  *   https://sympa.inria.fr/sympa/arc/mpfr/2011-12/msg00000.html [Solaris 10]
     70  *   https://sympa.inria.fr/sympa/arc/mpfr/2011-12/msg00001.html [Solaris 10]
     71  *   https://sympa.inria.fr/sympa/arc/mpfr/2011-12/msg00002.html
     72  *   https://sympa.inria.fr/sympa/arc/mpfr/2016-03/msg00061.html [Solaris 10]
     73  *   https://sympa.inria.fr/sympa/arc/mpfr/2016-03/msg00063.html
     74  *   https://sympa.inria.fr/sympa/arc/mpfr/2020-06/msg00015.html [Solaris 10]
     75  *   https://sympa.inria.fr/sympa/arc/mpfr/2020-06/msg00020.html
     76  */
     77 #if defined(__GNUC__) && defined (__sparc__)
     78 # undef mpfr_underflow_p
     79 # undef mpfr_overflow_p
     80 # undef mpfr_nanflag_p
     81 # undef mpfr_inexflag_p
     82 # undef mpfr_erangeflag_p
     83 # undef mpfr_divby0_p
     84 #endif
     85 
     86 #ifdef MPFR_TESTS_ABORT
     87 # undef exit
     88 # define exit(C) ((C) != 1 ? (exit)(C) : \
     89                   (fflush (stdout), fflush (stderr), abort ()))
     90 #endif
     91 
     92 #define STRINGIZE(S) #S
     93 #define MAKE_STR(S) STRINGIZE(S)
     94 
     95 /* In C (but not C++), mpfr_ptr and mpfr_srcptr arguments can be provided
     96    in a different pointer type, such as void *. For functions implemented
     97    as macros, the type conversion for the function parameters will not be
     98    done by the compiler, which means potential bugs in these implementations
     99    if we forget to take these unusual cases into account. So we need to test
    100    such arguments, in order to make sure that the arguments are converted to
    101    the expected type when needed.
    102 
    103    However, at least when the function is not implemented as a macro (which
    104    is the case when MPFR_USE_NO_MACRO is defined), such tests with void *
    105    arguments are not valid in C++; therefore, we will not do the cast to
    106    void * if the __cplusplus macro is defined. And with GCC 4.6+ compilers
    107    (and compatible), we will ignore the -Wc++-compat option around these
    108    tests.
    109 
    110    Note: in the future, inline functions could be used instead of macros,
    111    and such tests would become useless (except to detect compiler bugs).
    112 */
    113 #if defined (__cplusplus)
    114 #define VOIDP_CAST(X) (X)
    115 #else
    116 #define VOIDP_CAST(X) ((void *) (X))
    117 /* Define IGNORE_CPP_COMPAT only for the GCC and Clang versions that
    118    support it.
    119    Note: GCC versions < 4.6 do not allow "#pragma GCC diagnostic" inside
    120    functions, and Clang on Windows (clang-cl) does not define __GNUC__.
    121    See https://sympa.inria.fr/sympa/arc/mpfr/2022-12/msg00007.html */
    122 #if __MPFR_GNUC(4,6) || defined (__clang__)
    123 #define IGNORE_CPP_COMPAT
    124 #endif
    125 #endif
    126 
    127 #if defined (__cplusplus)
    128 extern "C" {
    129 #endif
    130 
    131 /* generates a random long int, a random double,
    132    and corresponding seed initializing */
    133 #define DBL_RAND() ((double) randlimb() / (double) MPFR_LIMB_MAX)
    134 
    135 #define MINNORM 2.2250738585072013831e-308 /* 2^(-1022), smallest normalized */
    136 #define MAXNORM 1.7976931348623157081e308 /* 2^(1023)*(2-2^(-52)) */
    137 
    138 /* Generates a random rounding mode */
    139 #define RND_RAND() ((mpfr_rnd_t) (randlimb() % MPFR_RND_MAX))
    140 
    141 /* Ditto, excluding RNDF, assumed to be the last rounding mode */
    142 #define RND_RAND_NO_RNDF() ((mpfr_rnd_t) (randlimb() % MPFR_RNDF))
    143 
    144 /* Generates a random boolean (with type int, thanks to the "!= 0" test).
    145    Note: "& 1" is better than "% 2" for compilers with limited optimization,
    146    such as tcc 0.9.27. */
    147 #define RAND_BOOL() ((randlimb() & 1) != 0)
    148 
    149 /* Generates a random sign */
    150 #define RAND_SIGN() (RAND_BOOL() ? MPFR_SIGN_POS : MPFR_SIGN_NEG)
    151 
    152 /* Loop for all rounding modes */
    153 #define RND_LOOP(_r) for((_r) = 0 ; (_r) < MPFR_RND_MAX ; (_r)++)
    154 
    155 /* Loop for all rounding modes except RNDF (assumed to be the last one),
    156    which must be excluded from tests that rely on deterministic results. */
    157 #define RND_LOOP_NO_RNDF(_r) for((_r) = 0 ; (_r) < MPFR_RNDF ; (_r)++)
    158 
    159 /* Test whether two floating-point data have the same value,
    160    seen as an element of the set of the floating-point data
    161    (Level 2 in the IEEE 754-2008 standard). */
    162 #define SAME_VAL(X,Y)                                                   \
    163   ((MPFR_IS_NAN (X) && MPFR_IS_NAN (Y)) ||                              \
    164    (mpfr_equal_p ((X), (Y)) && MPFR_INT_SIGN (X) == MPFR_INT_SIGN (Y)))
    165 
    166 /* In the tests, mpfr_sgn was sometimes used incorrectly, for instance:
    167  *
    168  *   if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
    169  *
    170  * to check that y is +0. This does not make sense since on 0, mpfr_sgn
    171  * yields 0, so that -0 would not be detected as an error. To make sure
    172  * that mpfr_sgn is not used incorrectly, we choose to fail when this
    173  * macro is used on a datum whose mathematical sign is not +1 or -1.
    174  * This feature is disabled when MPFR_TESTS_TSGN is defined, typically
    175  * in tsgn (to test mpfr_sgn itself).
    176  */
    177 #ifndef MPFR_TESTS_TSGN
    178 # undef mpfr_sgn
    179 # define mpfr_sgn(x)                   \
    180   (MPFR_ASSERTN (! MPFR_IS_NAN (x)),   \
    181    MPFR_ASSERTN (! MPFR_IS_ZERO (x)),  \
    182    MPFR_SIGN (x))
    183 #endif
    184 
    185 #define FLIST mpfr_ptr, mpfr_srcptr, mpfr_rnd_t
    186 
    187 int test_version (void);
    188 
    189 /* Memory handling */
    190 #define DEFAULT_MEMORY_LIMIT (1UL << 22)
    191 extern size_t tests_memory_limit;
    192 void tests_memory_start (void);
    193 void tests_memory_end (void);
    194 
    195 void tests_start_mpfr (void);
    196 void tests_end_mpfr (void);
    197 
    198 void tests_expect_abort (void);
    199 int tests_run_within_valgrind (void);
    200 
    201 int mpfr_set_machine_rnd_mode (mpfr_rnd_t);
    202 int have_subnorm_dbl (void);
    203 int have_subnorm_flt (void);
    204 void mpfr_test_init (void);
    205 mp_limb_t randlimb (void);
    206 unsigned long randulong (void);
    207 long randlong (void);
    208 void randseed (unsigned int);
    209 void mpfr_random2 (mpfr_ptr, mp_size_t, mpfr_exp_t, gmp_randstate_t);
    210 int ulp (double, double);
    211 double dbl (double, int);
    212 double Ulp (double);
    213 int Isnan (double);
    214 void d_trace (const char *, double);
    215 void ld_trace (const char *, long double);
    216 void n_trace (const char *, mp_limb_t *, mp_size_t);
    217 
    218 FILE *src_fopen (const char *, const char *);
    219 void set_emin (mpfr_exp_t);
    220 void set_emax (mpfr_exp_t);
    221 void tests_default_random (mpfr_ptr, int, mpfr_exp_t, mpfr_exp_t,
    222                            int);
    223 void data_check (const char *, int (*) (FLIST), const char *);
    224 void bad_cases (int (*)(FLIST), int (*)(FLIST),
    225                 const char *, int, mpfr_exp_t, mpfr_exp_t,
    226                 mpfr_prec_t, mpfr_prec_t, mpfr_prec_t, int);
    227 void flags_out (unsigned int);
    228 
    229 int mpfr_cmp_str (mpfr_srcptr x, const char *, int, mpfr_rnd_t);
    230 #define mpfr_cmp_str1(x,s) mpfr_cmp_str(x,s,10,MPFR_RNDN)
    231 #define mpfr_set_str1(x,s) mpfr_set_str(x,s,10,MPFR_RNDN)
    232 
    233 #define mpfr_cmp0(x,y) (MPFR_ASSERTN (!MPFR_IS_NAN (x) && !MPFR_IS_NAN (y)), mpfr_cmp (x,y))
    234 #define mpfr_cmp_ui0(x,i) (MPFR_ASSERTN (!MPFR_IS_NAN (x)), mpfr_cmp_ui (x,i))
    235 #define mpfr_cmp_si0(x,i) (MPFR_ASSERTN (!MPFR_IS_NAN (x)), mpfr_cmp_si (x,i))
    236 #define mpfr_cmp_si_2exp0(x,i,e) (MPFR_ASSERTN (!MPFR_IS_NAN (x)), \
    237                                   mpfr_cmp_si_2exp (x,i,e))
    238 
    239 /* define CHECK_EXTERNAL if you want to check mpfr against another library
    240    with correct rounding. You'll probably have to modify mpfr_print_raw()
    241    and/or test_add() below:
    242    * mpfr_print_raw() prints each number as "p m e" where p is the precision,
    243      m the mantissa (as a binary integer with sign), and e the exponent.
    244      The corresponding number is m*2^e. Example: "2 10 -6" represents
    245      2*2^(-6) with a precision of 2 bits.
    246    * test_add() outputs "b c a" on one line, for each addition a <- b + c.
    247      Currently it only prints such a line for rounding to nearest, when
    248      the inputs b and c are not NaN and/or Inf.
    249 */
    250 #ifdef CHECK_EXTERNAL
    251 static void
    252 mpfr_print_raw (mpfr_srcptr x)
    253 {
    254   printf ("%lu ", MPFR_PREC (x));
    255   if (MPFR_IS_NAN (x))
    256     {
    257       printf ("@NaN@");
    258       return;
    259     }
    260 
    261   if (MPFR_IS_NEG (x))
    262     printf ("-");
    263 
    264   if (MPFR_IS_INF (x))
    265     printf ("@Inf@");
    266   else if (MPFR_IS_ZERO (x))
    267     printf ("0 0");
    268   else
    269     {
    270       mp_limb_t *mx;
    271       mpfr_prec_t px;
    272       mp_size_t n;
    273 
    274       mx = MPFR_MANT (x);
    275       px = MPFR_PREC (x);
    276 
    277       for (n = (px - 1) / GMP_NUMB_BITS; ; n--)
    278         {
    279           mp_limb_t wd, t;
    280 
    281           MPFR_ASSERTN (n >= 0);
    282           wd = mx[n];
    283           for (t = MPFR_LIMB_HIGHBIT; t != 0; t >>= 1)
    284             {
    285               printf ((wd & t) == 0 ? "0" : "1");
    286               if (--px == 0)
    287                 {
    288                   mpfr_exp_t ex;
    289 
    290                   ex = MPFR_GET_EXP (x);
    291                   MPFR_ASSERTN (ex >= LONG_MIN && ex <= LONG_MAX);
    292                   printf (" %ld", (long) ex - (long) MPFR_PREC (x));
    293                   return;
    294                 }
    295             }
    296         }
    297     }
    298 }
    299 #endif
    300 
    301 extern char *locale;
    302 
    303 /* Random */
    304 extern char             mpfr_rands_initialized;
    305 extern gmp_randstate_t  mpfr_rands;
    306 
    307 #undef RANDS
    308 #define RANDS                                   \
    309   ((mpfr_rands_initialized ? 0                 \
    310     : (mpfr_rands_initialized = 1,             \
    311        gmp_randinit_default (mpfr_rands), 0)), \
    312    mpfr_rands)
    313 
    314 #undef RANDS_CLEAR
    315 #define RANDS_CLEAR()                   \
    316   do {                                  \
    317     if (mpfr_rands_initialized)        \
    318       {                                 \
    319         mpfr_rands_initialized = 0;    \
    320         gmp_randclear (mpfr_rands);    \
    321       }                                 \
    322   } while (0)
    323 
    324 /* Memory Allocation */
    325 extern int tests_memory_disabled;
    326 void *tests_allocate (size_t);
    327 void *tests_reallocate (void *, size_t, size_t);
    328 void tests_free (void *, size_t);
    329 
    330 #if defined (__cplusplus)
    331 }
    332 #endif
    333 
    334 /* With GCC, a macro "volatile" can be defined to test some special code
    335    in mpfr-impl.h (code for compilers that define such a macro), but the
    336    volatile keyword is necessary in some tests to avoid some GCC bugs.
    337    Thus we need to undef this macro (if defined). We do that at the end,
    338    so that mpfr-impl.h (included earlier) is not affected by this undef.
    339  */
    340 #if defined(__GNUC__) && defined(volatile)
    341 # undef volatile
    342 #endif
    343 
    344 #endif
    345