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emptycommit-12104
tests/tests.c
1 116 строк
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Vincent Lefèvre
Copyright notice update: added 2018 with
03 янв 2018, 13:53
03 янв 2018, 13:53
2fce388
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/* Miscellaneous support for test programs. Copyright 2001-2018 Free Software Foundation, Inc. Contributed by the AriC and Caramba 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. */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #include <float.h> #include <errno.h> #ifdef HAVE_LOCALE_H #include <locale.h> #endif #ifdef MPFR_TESTS_FPE_DIV # ifdef MPFR_TESTS_FPE_TRAP # define _GNU_SOURCE /* for feenableexcept */ # endif # include <fenv.h> #endif #ifdef TIME_WITH_SYS_TIME # include <sys/time.h> /* for struct timeval */ # include <time.h> #elif defined HAVE_SYS_TIME_H # include <sys/time.h> #else # include <time.h> #endif /* <sys/fpu.h> is needed to have union fpc_csr defined under IRIX64 (see below). Let's include it only if need be. */ #if defined HAVE_SYS_FPU_H && defined HAVE_FPC_CSR # include <sys/fpu.h> #endif #ifdef MPFR_TESTS_TIMEOUT #include <sys/resource.h> #endif #if defined(HAVE_SIGNAL) || defined(HAVE_SIGACTION) # include <signal.h> #endif #include "mpfr-test.h" #ifdef MPFR_FPU_PREC /* This option allows to test MPFR on x86 processors when the FPU * rounding precision has been changed. As MPFR is a library, this can * occur in practice, either by the calling software or by some other * library or plug-in used by the calling software. This option is * mainly for developers. If it is used, then the <fpu_control.h> * header is assumed to exist and work like under Linux/x86. MPFR does * not need to be recompiled. So, a possible usage is the following: * * cd tests * make clean * make check CFLAGS="-g -O2 -ffloat-store -DMPFR_FPU_PREC=_FPU_SINGLE" * * i.e. just add -DMPFR_FPU_PREC=... to the CFLAGS found in Makefile. * * Notes: * + SSE2 (used to implement double's on x86_64, and possibly on x86 * too, depending on the compiler configuration and flags) is not * affected by the dynamic precision. * + When the FPU is set to single precision, the behavior of MPFR * functions that have a native floating-point type (float, double, * long double) as argument or return value is not guaranteed. */ #include <fpu_control.h> static void set_fpu_prec (void) { fpu_control_t cw; _FPU_GETCW(cw); cw &= ~(_FPU_EXTENDED|_FPU_DOUBLE|_FPU_SINGLE); cw |= (MPFR_FPU_PREC); _FPU_SETCW(cw); } #endif char mpfr_rands_initialized = 0; gmp_randstate_t mpfr_rands; char *locale = NULL; /* Programs that test GMP's mp_set_memory_functions() need to set tests_memory_disabled = 2 before calling tests_start_mpfr(). */ #ifdef MPFR_USE_MINI_GMP /* disable since mini-gmp does not keep track of old_size in realloc/free */ int tests_memory_disabled = 1; #else int tests_memory_disabled = 0; #endif static mpfr_exp_t default_emin, default_emax; static void tests_rand_start (void); static void tests_rand_end (void); static void tests_limit_start (void); /* We want to always import the function mpfr_dump inside the test suite, so that we can use it in GDB. But it doesn't work if we build a Windows DLL (initializer element is not a constant) */ #if !__GMP_LIBGMP_DLL extern void (*dummy_func) (mpfr_srcptr); void (*dummy_func)(mpfr_srcptr) = mpfr_dump; #endif /* Various version checks. A mismatch on the GMP version is not regarded as fatal. A mismatch on the MPFR version is regarded as fatal, since this means that we would not check the MPFR library that has just been built (the goal of "make check") but a different library that is already installed, i.e. any test result would be meaningless; in such a case, we exit immediately with an error (exit status = 1). Return value: 0 for no errors, 1 in case of any non-fatal error. Note: If the return value is 0, no data must be sent to stdout. */ int test_version (void) { const char *version; char buffer[256]; int err = 0; #ifndef MPFR_USE_MINI_GMP sprintf (buffer, "%d.%d.%d", __GNU_MP_VERSION, __GNU_MP_VERSION_MINOR, __GNU_MP_VERSION_PATCHLEVEL); if (strcmp (buffer, gmp_version) != 0 && (__GNU_MP_VERSION_PATCHLEVEL != 0 || (sprintf (buffer, "%d.%d", __GNU_MP_VERSION, __GNU_MP_VERSION_MINOR), strcmp (buffer, gmp_version) != 0))) err = 1; #endif /* In some cases, it may be acceptable to have different versions for the header and the library, in particular when shared libraries are used (e.g., after a bug-fix upgrade of the library, and versioning ensures that this can be done only when the binary interface is compatible). However, when recompiling software like here, this should never happen (except if GMP has been upgraded between two "make check" runs, but there's no reason for that). A difference between the versions of gmp.h and libgmp probably indicates either a bad configuration or some other inconsistency in the development environment, and it is better to fail (in particular for automatic installations). */ if (err) { printf ("ERROR! The versions of gmp.h (%s) and libgmp (%s) do not " "match.\nThe possible causes are:\n", buffer, gmp_version); printf (" * A bad configuration in your include/library search paths.\n" " * An inconsistency in the include/library search paths of\n" " your development environment; an example:\n" " https://gcc.gnu.org/ml/gcc-help/2010-11/msg00359.html\n" " * GMP has been upgraded after the first \"make check\".\n" " In such a case, try again after a \"make clean\".\n" " * A new or non-standard version naming is used in GMP.\n" " In this case, a patch may already be available on the\n" " MPFR web site. Otherwise please report the problem.\n"); printf ("In the first two cases, this may lead to errors, in particular" " with MPFR.\nIf some other tests fail, please solve that" " problem first.\n"); } /* VL: I get the following error on an OpenSUSE machine, and changing the value of shlibpath_overrides_runpath in the libtool file from 'no' to 'yes' fixes the problem. */ version = mpfr_get_version (); if (strcmp (MPFR_VERSION_STRING, version) == 0) { char buffer[16]; int i; sprintf (buffer, "%d.%d.%d", MPFR_VERSION_MAJOR, MPFR_VERSION_MINOR, MPFR_VERSION_PATCHLEVEL); for (i = 0; buffer[i] == version[i]; i++) if (buffer[i] == '\0') return err; if (buffer[i] == '\0' && version[i] == '-') return err; printf ("%sMPFR_VERSION_MAJOR.MPFR_VERSION_MINOR.MPFR_VERSION_PATCHLEVEL" " (%s)\nand MPFR_VERSION_STRING (%s) do not match!\nIt seems " "that the mpfr.h file has been corrupted.\n", err ? "\n" : "", buffer, version); } else printf ( "%sIncorrect MPFR version! (%s header vs %s library)\n" "Nothing else has been tested since for this reason, any other test\n" "may fail. Please fix this problem first, as suggested below. It\n" "probably comes from libtool (included in the MPFR tarball), which\n" "is responsible for setting up the search paths depending on the\n" "platform, or automake.\n" " * On some platforms such as Solaris, $LD_LIBRARY_PATH overrides\n" " the rpath, and if the MPFR library is already installed in a\n" " $LD_LIBRARY_PATH directory, you typically get this error. Do\n" " not use $LD_LIBRARY_PATH on such platforms; it may also break\n" " other things.\n" " * You may have an ld option that specifies a library search path\n" " where MPFR can be found, taking the precedence over the path\n" " added by libtool. Check your environment variables, such as\n" " LD_OPTIONS under Solaris.\n" " * Then look at http://www.mpfr.org/mpfr-current/ for any update.\n" " * Try again on a completely clean source (some errors might come\n" " from a previous build or previous source changes).\n" " * If the error still occurs, you can try to change the value of\n" " shlibpath_overrides_runpath ('yes' or 'no') in the \"libtool\"\n" " file and rebuild MPFR (make clean && make && make check). You\n" " may want to report the problem to the libtool and/or automake\n" " developers, with the effect of this change.\n", err ? "\n" : "", MPFR_VERSION_STRING, version); /* Note about $LD_LIBRARY_PATH under Solaris: * https://en.wikipedia.org/wiki/Rpath#Solaris_ld.so * This cause has been confirmed by a user who got this error. */ exit (1); } /* The inexact exception occurs very often, and is normal. The underflow exception also might occur, for example in test_generic for mpfr_xxx_d functions. Same for overflow. Thus we only check for the division-by-zero and invalid exceptions, which should not occur inside MPFR. */ #define FPE_FLAGS (FE_DIVBYZERO | FE_INVALID) void tests_start_mpfr (void) { /* Don't buffer, so output is not lost if a test causes a segv, etc. Warning! No operations must have already been done on stdout (this is a requirement of ISO C, and this is important on AIX). */ setbuf (stdout, NULL); test_version (); #if defined HAVE_LOCALE_H && defined HAVE_SETLOCALE /* Added on 2005-07-09. This allows to test MPFR under various locales. New bugs will probably be found, in particular with LC_ALL="tr_TR.ISO8859-9" because of the i/I character... */ locale = setlocale (LC_ALL, ""); #endif #ifdef MPFR_FPU_PREC set_fpu_prec (); #endif #ifdef MPFR_TESTS_FPE_DIV /* Define to test the use of MPFR_ERRDIVZERO */ feclearexcept (FE_ALL_EXCEPT); # ifdef MPFR_TESTS_FPE_TRAP /* to trap the corresponding FP exceptions */ feenableexcept (FPE_FLAGS); # endif #endif if (tests_memory_disabled != 2) { if (tests_memory_disabled == 0) tests_memory_start (); tests_rand_start (); } tests_limit_start (); default_emin = mpfr_get_emin (); default_emax = mpfr_get_emax (); } void tests_end_mpfr (void) { int err = 0; if (mpfr_get_emin () != default_emin) { printf ("Default emin value has not been restored!\n"); err = 1; } if (mpfr_get_emax () != default_emax) { printf ("Default emax value has not been restored!\n"); err = 1; } mpfr_free_cache (); mpfr_free_cache2 (MPFR_FREE_GLOBAL_CACHE); if (tests_memory_disabled != 2) { tests_rand_end (); if (tests_memory_disabled == 0) tests_memory_end (); } #ifdef MPFR_TESTS_FPE_DIV /* Define to test the use of MPFR_ERRDIVZERO */ if (fetestexcept (FPE_FLAGS)) { /* With MPFR_ERRDIVZERO, such exceptions should never occur because the purpose of defining MPFR_ERRDIVZERO is to avoid all the FP divisions by 0. */ printf ("Some floating-point exception(s) occurred:"); if (fetestexcept (FE_DIVBYZERO)) printf (" DIVBYZERO"); /* e.g. from 1.0 / 0.0 to generate an inf */ if (fetestexcept (FE_INVALID)) printf (" INVALID"); /* e.g. from 0.0 / 0.0 to generate a NaN */ printf ("\n"); err = 1; } #endif if (err) exit (err); } static void tests_limit_start (void) { #ifdef MPFR_TESTS_TIMEOUT struct rlimit rlim[1]; char *timeoutp; int timeout; timeoutp = getenv ("MPFR_TESTS_TIMEOUT"); timeout = timeoutp != NULL ? atoi (timeoutp) : MPFR_TESTS_TIMEOUT; if (timeout > 0) { /* We need to call getrlimit first to initialize rlim_max to an acceptable value for setrlimit. When enabled, timeouts are regarded as important: we don't want to take too much CPU time on machines shared with other users. So, if we can't set the timeout, we exit immediately. */ if (getrlimit (RLIMIT_CPU, rlim)) { printf ("Error: getrlimit failed\n"); exit (1); } rlim->rlim_cur = timeout; if (setrlimit (RLIMIT_CPU, rlim)) { printf ("Error: setrlimit failed\n"); exit (1); } } #endif } static void tests_rand_start (void) { char *perform_seed; unsigned long seed; if (mpfr_rands_initialized) { printf ( "Please let tests_start() initialize the global mpfr_rands, i.e.\n" "ensure that function is called before the first use of RANDS.\n"); exit (1); } gmp_randinit_default (mpfr_rands); mpfr_rands_initialized = 1; perform_seed = getenv ("GMP_CHECK_RANDOMIZE"); if (perform_seed != NULL) { seed = strtoul (perform_seed, NULL, 10); if (! (seed == 0 || seed == 1)) { printf ("Re-seeding with GMP_CHECK_RANDOMIZE=%lu\n", seed); gmp_randseed_ui (mpfr_rands, seed); } else { #ifdef HAVE_GETTIMEOFDAY struct timeval tv; gettimeofday (&tv, NULL); /* Note: If time_t is a "floating type" (as allowed by ISO C99), the cast below can yield undefined behavior. But this would be uncommon (gettimeofday() is specified by POSIX only and POSIX requires time_t to be an integer type) and this line is not executed by default. So, this should be OK. Moreover, gettimeofday() is marked obsolescent by POSIX.1-2008. */ seed = 1000000 * (unsigned long) tv.tv_sec + tv.tv_usec; #else time_t tv; time (&tv); seed = tv; #endif gmp_randseed_ui (mpfr_rands, seed); printf ("Seed GMP_CHECK_RANDOMIZE=%lu " "(include this in bug reports)\n", seed); } } else gmp_randseed_ui (mpfr_rands, 0x2143FEDC); } static void tests_rand_end (void) { RANDS_CLEAR (); } /* initialization function for tests using the hardware floats Not very useful now. */ void mpfr_test_init (void) { #ifdef HAVE_FPC_CSR /* to get subnormal numbers on IRIX64 */ union fpc_csr exp; exp.fc_word = get_fpc_csr(); exp.fc_struct.flush = 0; set_fpc_csr(exp.fc_word); #endif #ifdef HAVE_DENORMS { double d = DBL_MIN; if (2.0 * (d / 2.0) != d) { printf ("Error: HAVE_DENORMS defined, but no subnormals.\n"); exit (1); } } #endif /* generate DBL_EPSILON with a loop to avoid that the compiler optimizes the code below in non-IEEE 754 mode, deciding that c = d is always false. */ #if 0 for (eps = 1.0; eps != DBL_EPSILON; eps /= 2.0); c = 1.0 + eps; d = eps * (1.0 - eps) / 2.0; d += c; if (c != d) { printf ("Warning: IEEE 754 standard not fully supported\n" " (maybe extended precision not disabled)\n" " Some tests may fail\n"); } #endif } /* generate a random limb */ mp_limb_t randlimb (void) { mp_limb_t limb; mpfr_rand_raw (&limb, RANDS, GMP_NUMB_BITS); return limb; } /* returns ulp(x) for x a 'normal' double-precision number */ double Ulp (double x) { double y, eps; if (x < 0) x = -x; y = x * 2.220446049250313080847263336181640625e-16 ; /* x / 2^52 */ /* as ulp(x) <= y = x/2^52 < 2*ulp(x), we have x + ulp(x) <= x + y <= x + 2*ulp(x), therefore o(x + y) = x + ulp(x) or x + 2*ulp(x) */ eps = x + y; eps = eps - x; /* ulp(x) or 2*ulp(x) */ return (eps > y) ? 0.5 * eps : eps; } /* returns the number of ulp's between a and b, where a and b can be any floating-point number, except NaN */ int ulp (double a, double b) { double twoa; if (a == b) return 0; /* also deals with a=b=inf or -inf */ twoa = a + a; if (twoa == a) /* a is +/-0.0 or +/-Inf */ return ((b < a) ? INT_MAX : -INT_MAX); return (int) ((a - b) / Ulp (a)); } /* return double m*2^e */ double dbl (double m, int e) { if (e >=0 ) while (e-- > 0) m *= 2.0; else while (e++ < 0) m /= 2.0; return m; } /* Warning: NaN values cannot be distinguished if MPFR_NANISNAN is defined. */ int Isnan (double d) { return (d) != (d); } void d_trace (const char *name, double d) { union { double d; unsigned char b[sizeof(double)]; } u; int i; if (name != NULL && name[0] != '\0') printf ("%s=", name); u.d = d; printf ("["); for (i = 0; i < (int) sizeof (u.b); i++) { if (i != 0) printf (" "); printf ("%02X", (int) u.b[i]); } printf ("] %.20g\n", d); } void ld_trace (const char *name, long double ld) { union { long double ld; unsigned char b[sizeof(long double)]; } u; int i; if (name != NULL && name[0] != '\0') printf ("%s=", name); u.ld = ld; printf ("["); for (i = 0; i < (int) sizeof (u.b); i++) { if (i != 0) printf (" "); printf ("%02X", (int) u.b[i]); } printf ("] %.20Lg\n", ld); } /* Open a file in the SRCDIR directory, i.e. the "tests" source directory, which is different from the current directory when objdir is different from srcdir. One should generally use this function instead of fopen directly. */ FILE * src_fopen (const char *filename, const char *mode) { #ifndef SRCDIR return fopen (filename, mode); #else const char *srcdir = SRCDIR; char *buffer; size_t buffsize; FILE *f; buffsize = strlen (filename) + strlen (srcdir) + 2; buffer = (char *) tests_allocate (buffsize); if (buffer == NULL) { printf ("src_fopen: failed to alloc memory)\n"); exit (1); } sprintf (buffer, "%s/%s", srcdir, filename); f = fopen (buffer, mode); tests_free (buffer, buffsize); return f; #endif } void set_emin (mpfr_exp_t exponent) { if (mpfr_set_emin (exponent)) { printf ("set_emin: setting emin to %ld failed\n", (long int) exponent); exit (1); } } void set_emax (mpfr_exp_t exponent) { if (mpfr_set_emax (exponent)) { printf ("set_emax: setting emax to %ld failed\n", (long int) exponent); exit (1); } } /* pos is 512 times the proportion of negative numbers. If pos=256, half of the numbers are negative. If pos=0, all generated numbers are positive. */ void tests_default_random (mpfr_ptr x, int pos, mpfr_exp_t emin, mpfr_exp_t emax, int always_scale) { MPFR_ASSERTN (emin <= emax); MPFR_ASSERTN (emin >= MPFR_EMIN_MIN); MPFR_ASSERTN (emax <= MPFR_EMAX_MAX); /* but it isn't required that emin and emax are in the current exponent range (see below), so that underflow/overflow checks can be done on 64-bit machines without a manual change of the exponent range (well, this is a bit ugly...). */ mpfr_urandomb (x, RANDS); if (MPFR_IS_PURE_FP (x) && (emin >= 1 || always_scale || (randlimb () & 1))) { mpfr_exp_t e; e = emin + (mpfr_exp_t) (randlimb () % (emax - emin + 1)); /* Note: There should be no overflow here because both terms are between MPFR_EMIN_MIN and MPFR_EMAX_MAX. */ MPFR_ASSERTD (e >= emin && e <= emax); if (mpfr_set_exp (x, e)) { /* The random number doesn't fit in the current exponent range. In this case, test the function in the extended exponent range, which should be restored by the caller. */ mpfr_set_emin (MPFR_EMIN_MIN); mpfr_set_emax (MPFR_EMAX_MAX); mpfr_set_exp (x, e); } } if (randlimb () % 512 < pos) mpfr_neg (x, x, MPFR_RNDN); } /* The test_one argument is seen a boolean. If it is true and rnd is a rounding mode toward infinity, then the function is tested in only one rounding mode (the one provided in rnd) and the variable rndnext is not used (due to the break). If it is true and rnd is a rounding mode toward or away from zero, then the function is tested twice, first with the provided rounding mode and second with the rounding mode toward the corresponding infinity (determined by the sign of the result). If it is false, then the function is tested in the 5 rounding modes, and rnd must initially be MPFR_RNDZ; thus rndnext will be initialized in the first iteration. If the test_one argument is 2, then this means that y is exact, and the ternary value is checked. As examples of use, see the calls to test5rm from the data_check and bad_cases functions. */ static void test5rm (int (*fct) (FLIST), mpfr_srcptr x, mpfr_ptr y, mpfr_ptr z, mpfr_rnd_t rnd, int test_one, const char *name) { mpfr_prec_t yprec = MPFR_PREC (y); mpfr_rnd_t rndnext = MPFR_RND_MAX; /* means uninitialized */ MPFR_ASSERTN (test_one || rnd == MPFR_RNDZ); mpfr_set_prec (z, yprec); while (1) { int inex; MPFR_ASSERTN (rnd != MPFR_RND_MAX); inex = fct (z, x, rnd); if (! SAME_VAL (y, z)) { printf ("Error for %s with xprec=%lu, yprec=%lu, rnd=%s\nx = ", name, (unsigned long) MPFR_PREC (x), (unsigned long) yprec, mpfr_print_rnd_mode (rnd)); mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); printf ("\nexpected "); mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN); printf ("\ngot "); mpfr_out_str (stdout, 16, 0, z, MPFR_RNDN); printf ("\n"); exit (1); } if (test_one == 2 && inex != 0) { printf ("Error for %s with xprec=%lu, yprec=%lu, rnd=%s\nx = ", name, (unsigned long) MPFR_PREC (x), (unsigned long) yprec, mpfr_print_rnd_mode (rnd)); mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); printf ("\nexact case, but non-zero ternary value (%d)\n", inex); exit (1); } if (rnd == MPFR_RNDN) break; if (test_one) { if (rnd == MPFR_RNDU || rnd == MPFR_RNDD) break; if (MPFR_IS_NEG (y)) rnd = (rnd == MPFR_RNDA) ? MPFR_RNDD : MPFR_RNDU; else rnd = (rnd == MPFR_RNDA) ? MPFR_RNDU : MPFR_RNDD; } else if (rnd == MPFR_RNDZ) { rnd = MPFR_IS_NEG (y) ? MPFR_RNDU : MPFR_RNDD; rndnext = MPFR_RNDA; } else { rnd = rndnext; if (rnd == MPFR_RNDA) { mpfr_nexttoinf (y); rndnext = (MPFR_IS_NEG (y)) ? MPFR_RNDD : MPFR_RNDU; } else if (rndnext != MPFR_RNDN) rndnext = MPFR_RNDN; else { if (yprec == MPFR_PREC_MIN) break; mpfr_prec_round (y, --yprec, MPFR_RNDZ); mpfr_set_prec (z, yprec); } } } } /* Check data in file f for function foo, with name 'name'. Each line consists of the file f one: xprec yprec rnd x y where: xprec is the input precision yprec is the output precision rnd is the rounding mode (n, z, u, d, a, Z, *) x is the input (hexadecimal format) y is the expected output (hexadecimal format) for foo(x) with rounding rnd If rnd is Z, y is the expected output in round-toward-zero, and the four directed rounding modes are tested, then the round-to-nearest mode is tested in precision yprec-1. This is useful for worst cases, where yprec is the minimum value such that one has a worst case in a directed rounding mode. If rnd is *, y must be an exact case. All the rounding modes are tested and the ternary value is checked (it must be 0). */ void data_check (const char *f, int (*foo) (FLIST), const char *name) { FILE *fp; long int xprec, yprec; /* not mpfr_prec_t because of the fscanf */ mpfr_t x, y, z; mpfr_rnd_t rnd; char r; int c; fp = fopen (f, "r"); if (fp == NULL) fp = src_fopen (f, "r"); if (fp == NULL) { char *v = (char *) MPFR_VERSION_STRING; /* In the '-dev' versions, assume that the data file exists and return an error if the file cannot be opened to make sure that such failures are detected. */ while (*v != '\0') v++; if (v[-4] == '-' && v[-3] == 'd' && v[-2] == 'e' && v[-1] == 'v') { printf ("Error: unable to open file '%s'\n", f); exit (1); } else return; } mpfr_init (x); mpfr_init (y); mpfr_init (z); while (!feof (fp)) { /* skip whitespace, for consistency */ if (fscanf (fp, " ") == EOF) { if (ferror (fp)) { perror ("data_check"); exit (1); } else break; /* end of file */ } if ((c = getc (fp)) == EOF) { if (ferror (fp)) { perror ("data_check"); exit (1); } else break; /* end of file */ } if (c == '#') /* comment: read entire line */ { do { c = getc (fp); } while (!feof (fp) && c != '\n'); } else { ungetc (c, fp); c = fscanf (fp, "%ld %ld %c", &xprec, &yprec, &r); MPFR_ASSERTN (MPFR_PREC_COND (xprec)); MPFR_ASSERTN (MPFR_PREC_COND (yprec)); if (c == EOF) { perror ("data_check"); exit (1); } else if (c != 3) { printf ("Error: corrupted line in file '%s'\n", f); exit (1); } switch (r) { case 'n': rnd = MPFR_RNDN; break; case 'z': case 'Z': rnd = MPFR_RNDZ; break; case 'u': rnd = MPFR_RNDU; break; case 'd': rnd = MPFR_RNDD; break; case '*': rnd = MPFR_RND_MAX; /* non-existing rounding mode */ break; default: printf ("Error: unexpected rounding mode" " in file '%s': %c\n", f, (int) r); exit (1); } mpfr_set_prec (x, xprec); mpfr_set_prec (y, yprec); if (mpfr_inp_str (x, fp, 0, MPFR_RNDN) == 0) { printf ("Error: corrupted argument in file '%s'\n", f); exit (1); } if (mpfr_inp_str (y, fp, 0, MPFR_RNDN) == 0) { printf ("Error: corrupted result in file '%s'\n", f); exit (1); } if (getc (fp) != '\n') { printf ("Error: result not followed by \\n in file '%s'\n", f); exit (1); } /* Skip whitespace, in particular at the end of the file. */ if (fscanf (fp, " ") == EOF && ferror (fp)) { perror ("data_check"); exit (1); } if (r == '*') { int rndint; RND_LOOP (rndint) test5rm (foo, x, y, z, (mpfr_rnd_t) rndint, 2, name); } else test5rm (foo, x, y, z, rnd, r != 'Z', name); } } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); fclose (fp); } /* Test n random bad cases. A precision py in [pymin,pymax] and * a number y of precision py are chosen randomly. One computes * x = inv(y) in precision px = py + psup (rounded to nearest). * Then (in general), y is a bad case for fct in precision py (in * the directed rounding modes, but also in the rounding-to-nearest * mode for some lower precision: see data_check). * fct, inv, name: data related to the function. * pos, emin, emax: arguments for tests_default_random. * For debugging purpose (e.g. in case of crash or infinite loop), * you can set the MPFR_DEBUG_BADCASES environment variable to 1 in * order to output information about the tested worst cases. You can * also enable logging (when supported), but this may give too much * information. */ void bad_cases (int (*fct)(FLIST), int (*inv)(FLIST), const char *name, int pos, mpfr_exp_t emin, mpfr_exp_t emax, mpfr_prec_t pymin, mpfr_prec_t pymax, mpfr_prec_t psup, int n) { mpfr_t x, y, z; char *dbgenv; int i, dbg; mpfr_exp_t old_emin, old_emax; old_emin = mpfr_get_emin (); old_emax = mpfr_get_emax (); dbgenv = getenv ("MPFR_DEBUG_BADCASES"); dbg = dbgenv != 0 ? atoi (dbgenv) : 0; /* debug level */ mpfr_inits (x, y, z, (mpfr_ptr) 0); for (i = 0; i < n; i++) { mpfr_prec_t px, py, pz; int inex; if (dbg) printf ("bad_cases: i = %d\n", i); py = pymin + (randlimb () % (pymax - pymin + 1)); mpfr_set_prec (y, py); tests_default_random (y, pos, emin, emax, 0); if (dbg) { printf ("bad_cases: yprec =%4ld, y = ", (long) py); mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN); printf ("\n"); } px = py + psup; mpfr_set_prec (x, px); mpfr_clear_flags (); inv (x, y, MPFR_RNDN); if (mpfr_nanflag_p () || mpfr_overflow_p () || mpfr_underflow_p ()) { if (dbg) printf ("bad_cases: no normal inverse\n"); goto next_i; } if (dbg > 1) { printf ("bad_cases: x = "); mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); printf ("\n"); } pz = px; do { pz += 32; mpfr_set_prec (z, pz); if (fct (z, x, MPFR_RNDN) == 0) { if (dbg) printf ("bad_cases: exact case\n"); goto next_i; } if (dbg) { if (dbg > 1) { printf ("bad_cases: %s(x) ~= ", name); mpfr_out_str (stdout, 16, 0, z, MPFR_RNDN); } else { printf ("bad_cases: [MPFR_RNDZ] ~= "); mpfr_out_str (stdout, 16, 40, z, MPFR_RNDZ); } printf ("\n"); } inex = mpfr_prec_round (z, py, MPFR_RNDN); if (mpfr_nanflag_p () || mpfr_overflow_p () || mpfr_underflow_p () || ! mpfr_equal_p (z, y)) { if (dbg) printf ("bad_cases: inverse doesn't match\n"); goto next_i; } } while (inex == 0); /* We really have a bad case. */ do py--; while (py >= MPFR_PREC_MIN && mpfr_prec_round (z, py, MPFR_RNDZ) == 0); py++; /* py is now the smallest output precision such that we have a bad case in the directed rounding modes. */ if (mpfr_prec_round (y, py, MPFR_RNDZ) != 0) { printf ("Internal error for i = %d\n", i); exit (1); } if ((inex > 0 && MPFR_IS_POS (z)) || (inex < 0 && MPFR_IS_NEG (z))) { mpfr_nexttozero (y); if (mpfr_zero_p (y)) goto next_i; } if (dbg) { printf ("bad_cases: yprec =%4ld, y = ", (long) py); mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN); printf ("\n"); } /* Note: y is now the expected result rounded toward zero. */ test5rm (fct, x, y, z, MPFR_RNDZ, 0, name); next_i: /* In case the exponent range has been changed by tests_default_random()... */ mpfr_set_emin (old_emin); mpfr_set_emax (old_emax); } mpfr_clears (x, y, z, (mpfr_ptr) 0); } void flags_out (unsigned int flags) { int none = 1; if (flags & MPFR_FLAGS_UNDERFLOW) none = 0, printf (" underflow"); if (flags & MPFR_FLAGS_OVERFLOW) none = 0, printf (" overflow"); if (flags & MPFR_FLAGS_NAN) none = 0, printf (" nan"); if (flags & MPFR_FLAGS_INEXACT) none = 0, printf (" inexact"); if (flags & MPFR_FLAGS_ERANGE) none = 0, printf (" erange"); if (none) printf (" none"); printf (" (%u)\n", flags); } static void abort_called (int x) { /* Ok, abort has been called */ exit (0); } /* This function has to be called for a test that will call the abort function */ void tests_expect_abort (void) { #if defined(HAVE_SIGACTION) struct sigaction act; int ret; memset (&act, 0, sizeof act); act.sa_handler = abort_called; ret = sigaction (SIGABRT, &act, NULL); if (ret != 0) { /* Can't register error handler: Skip test */ exit (77); } #elif defined(HAVE_SIGNAL) signal (SIGABRT, abort_called); #else /* Can't register error handler: Skip test */ exit (77); #endif }