/* Miscellaneous test program support routines. Copyright 2000-2003, 2005, 2013 Free Software Foundation, Inc. This file is part of the GNU MP Library test suite. The GNU MP Library test suite is free software; you can redistribute it and/or modify it under the terms of the GNU 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 MP Library test suite 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 General Public License for more details. You should have received a copy of the GNU General Public License along with the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */ #include "config.h" #include #include #include #include /* for getenv */ #include #if HAVE_FLOAT_H #include /* for DBL_MANT_DIG */ #endif #if TIME_WITH_SYS_TIME # include /* for struct timeval */ # include #else # if HAVE_SYS_TIME_H # include # else # include # endif #endif #include "gmp.h" #include "gmp-impl.h" #include "tests.h" /* The various tests setups and final checks, collected up together. */ void tests_start (void) { /* don't buffer, so output is not lost if a test causes a segv etc */ setbuf (stdout, NULL); setbuf (stderr, NULL); tests_memory_start (); tests_rand_start (); } void tests_end (void) { tests_rand_end (); tests_memory_end (); } void tests_rand_start (void) { gmp_randstate_ptr rands; char *perform_seed; unsigned long seed; if (__gmp_rands_initialized) { printf ("Please let tests_start() initialize the global __gmp_rands.\n"); printf ("ie. ensure that function is called before the first use of RANDS.\n"); abort (); } gmp_randinit_default (__gmp_rands); __gmp_rands_initialized = 1; rands = __gmp_rands; perform_seed = getenv ("GMP_CHECK_RANDOMIZE"); if (perform_seed != NULL) { #ifdef HAVE_STRTOUL seed = strtoul (perform_seed, 0, 0); #else /* This will not work right for seeds >= 2^31 on 64-bit machines. Perhaps use atol unconditionally? Is that ubiquitous? */ seed = atoi (perform_seed); #endif if (! (seed == 0 || seed == 1)) { printf ("Re-seeding with GMP_CHECK_RANDOMIZE=%lu\n", seed); gmp_randseed_ui (rands, seed); } else { #if HAVE_GETTIMEOFDAY struct timeval tv; gettimeofday (&tv, NULL); seed = tv.tv_sec ^ (tv.tv_usec << 12); seed &= 0xffffffff; #else time_t tv; time (&tv); seed = tv; #endif gmp_randseed_ui (rands, seed); printf ("Seed GMP_CHECK_RANDOMIZE=%lu (include this in bug reports)\n", seed); } fflush (stdout); } } void tests_rand_end (void) { RANDS_CLEAR (); } /* Only used if CPU calling conventions checking is available. */ mp_limb_t (*calling_conventions_function) (ANYARGS); /* Return p advanced to the next multiple of "align" bytes. "align" must be a power of 2. Care is taken not to assume sizeof(int)==sizeof(pointer). Using "unsigned long" avoids a warning on hpux. */ void * align_pointer (void *p, size_t align) { gmp_intptr_t d; d = ((gmp_intptr_t) p) & (align-1); d = (d != 0 ? align-d : 0); return (void *) (((char *) p) + d); } /* Note that memory allocated with this function can never be freed, because the start address of the block allocated is lost. */ void * __gmp_allocate_func_aligned (size_t bytes, size_t align) { return align_pointer ((*__gmp_allocate_func) (bytes + align-1), align); } void * __gmp_allocate_or_reallocate (void *ptr, size_t oldsize, size_t newsize) { if (ptr == NULL) return (*__gmp_allocate_func) (newsize); else return (*__gmp_reallocate_func) (ptr, oldsize, newsize); } char * __gmp_allocate_strdup (const char *s) { size_t len; char *t; len = strlen (s); t = (char *) (*__gmp_allocate_func) (len+1); memcpy (t, s, len+1); return t; } char * strtoupper (char *s_orig) { char *s; for (s = s_orig; *s != '\0'; s++) if (isascii (*s)) *s = toupper (*s); return s_orig; } void mpz_set_n (mpz_ptr z, mp_srcptr p, mp_size_t size) { ASSERT (size >= 0); MPN_NORMALIZE (p, size); MPZ_REALLOC (z, size); MPN_COPY (PTR(z), p, size); SIZ(z) = size; } void mpz_init_set_n (mpz_ptr z, mp_srcptr p, mp_size_t size) { ASSERT (size >= 0); MPN_NORMALIZE (p, size); ALLOC(z) = MAX (size, 1); PTR(z) = __GMP_ALLOCATE_FUNC_LIMBS (ALLOC(z)); SIZ(z) = size; MPN_COPY (PTR(z), p, size); } /* Find least significant limb position where p1,size and p2,size differ. */ mp_size_t mpn_diff_lowest (mp_srcptr p1, mp_srcptr p2, mp_size_t size) { mp_size_t i; for (i = 0; i < size; i++) if (p1[i] != p2[i]) return i; /* no differences */ return -1; } /* Find most significant limb position where p1,size and p2,size differ. */ mp_size_t mpn_diff_highest (mp_srcptr p1, mp_srcptr p2, mp_size_t size) { mp_size_t i; for (i = size-1; i >= 0; i--) if (p1[i] != p2[i]) return i; /* no differences */ return -1; } /* Find least significant byte position where p1,size and p2,size differ. */ mp_size_t byte_diff_lowest (const void *p1, const void *p2, mp_size_t size) { mp_size_t i; for (i = 0; i < size; i++) if (((const char *) p1)[i] != ((const char *) p2)[i]) return i; /* no differences */ return -1; } /* Find most significant limb position where p1,size and p2,size differ. */ mp_size_t byte_diff_highest (const void *p1, const void *p2, mp_size_t size) { mp_size_t i; for (i = size-1; i >= 0; i--) if (((const char *) p1)[i] != ((const char *) p2)[i]) return i; /* no differences */ return -1; } void mpz_set_str_or_abort (mpz_ptr z, const char *str, int base) { if (mpz_set_str (z, str, base) != 0) { fprintf (stderr, "ERROR: mpz_set_str failed\n"); fprintf (stderr, " str = \"%s\"\n", str); fprintf (stderr, " base = %d\n", base); abort(); } } void mpq_set_str_or_abort (mpq_ptr q, const char *str, int base) { if (mpq_set_str (q, str, base) != 0) { fprintf (stderr, "ERROR: mpq_set_str failed\n"); fprintf (stderr, " str = \"%s\"\n", str); fprintf (stderr, " base = %d\n", base); abort(); } } void mpf_set_str_or_abort (mpf_ptr f, const char *str, int base) { if (mpf_set_str (f, str, base) != 0) { fprintf (stderr, "ERROR mpf_set_str failed\n"); fprintf (stderr, " str = \"%s\"\n", str); fprintf (stderr, " base = %d\n", base); abort(); } } /* Whether the absolute value of z is a power of 2. */ int mpz_pow2abs_p (mpz_srcptr z) { mp_size_t size, i; mp_srcptr ptr; size = SIZ (z); if (size == 0) return 0; /* zero is not a power of 2 */ size = ABS (size); ptr = PTR (z); for (i = 0; i < size-1; i++) if (ptr[i] != 0) return 0; /* non-zero low limb means not a power of 2 */ return POW2_P (ptr[i]); /* high limb power of 2 */ } /* Exponentially distributed between 0 and 2^nbits-1, meaning the number of bits in the result is uniformly distributed between 0 and nbits-1. FIXME: This is not a proper exponential distribution, since the probability function will have a stepped shape due to using a uniform distribution after choosing how many bits. */ void mpz_erandomb (mpz_ptr rop, gmp_randstate_t rstate, unsigned long nbits) { mpz_urandomb (rop, rstate, gmp_urandomm_ui (rstate, nbits)); } void mpz_erandomb_nonzero (mpz_ptr rop, gmp_randstate_t rstate, unsigned long nbits) { mpz_erandomb (rop, rstate, nbits); if (mpz_sgn (rop) == 0) mpz_set_ui (rop, 1L); } void mpz_errandomb (mpz_ptr rop, gmp_randstate_t rstate, unsigned long nbits) { mpz_rrandomb (rop, rstate, gmp_urandomm_ui (rstate, nbits)); } void mpz_errandomb_nonzero (mpz_ptr rop, gmp_randstate_t rstate, unsigned long nbits) { mpz_errandomb (rop, rstate, nbits); if (mpz_sgn (rop) == 0) mpz_set_ui (rop, 1L); } void mpz_negrandom (mpz_ptr rop, gmp_randstate_t rstate) { mp_limb_t n; _gmp_rand (&n, rstate, 1); if (n != 0) mpz_neg (rop, rop); } mp_limb_t urandom (void) { #if GMP_NAIL_BITS == 0 mp_limb_t n; _gmp_rand (&n, RANDS, GMP_LIMB_BITS); return n; #else mp_limb_t n[2]; _gmp_rand (n, RANDS, GMP_LIMB_BITS); return n[0] + (n[1] << GMP_NUMB_BITS); #endif } /* Call (*func)() with various random number generators. */ void call_rand_algs (void (*func) (const char *, gmp_randstate_ptr)) { gmp_randstate_t rstate; mpz_t a; mpz_init (a); gmp_randinit_default (rstate); (*func) ("gmp_randinit_default", rstate); gmp_randclear (rstate); gmp_randinit_mt (rstate); (*func) ("gmp_randinit_mt", rstate); gmp_randclear (rstate); gmp_randinit_lc_2exp_size (rstate, 8L); (*func) ("gmp_randinit_lc_2exp_size 8", rstate); gmp_randclear (rstate); gmp_randinit_lc_2exp_size (rstate, 16L); (*func) ("gmp_randinit_lc_2exp_size 16", rstate); gmp_randclear (rstate); gmp_randinit_lc_2exp_size (rstate, 128L); (*func) ("gmp_randinit_lc_2exp_size 128", rstate); gmp_randclear (rstate); /* degenerate always zeros */ mpz_set_ui (a, 0L); gmp_randinit_lc_2exp (rstate, a, 0L, 8L); (*func) ("gmp_randinit_lc_2exp a=0 c=0 m=8", rstate); gmp_randclear (rstate); /* degenerate always FFs */ mpz_set_ui (a, 0L); gmp_randinit_lc_2exp (rstate, a, 0xFFL, 8L); (*func) ("gmp_randinit_lc_2exp a=0 c=0xFF m=8", rstate); gmp_randclear (rstate); mpz_clear (a); } /* Return +infinity if available, or 0 if not. We don't want to use libm, so INFINITY or other system values are not used here. */ double tests_infinity_d (void) { #if _GMP_IEEE_FLOATS union ieee_double_extract x; x.s.exp = 2047; x.s.manl = 0; x.s.manh = 0; x.s.sig = 0; return x.d; #else return 0; #endif } /* Return non-zero if d is an infinity (either positive or negative). Don't want libm, so don't use isinf() or other system tests. */ int tests_isinf (double d) { #if _GMP_IEEE_FLOATS union ieee_double_extract x; x.d = d; return (x.s.exp == 2047 && x.s.manl == 0 && x.s.manh == 0); #else return 0; #endif } /* Set the hardware floating point rounding mode. Same mode values as mpfr, namely 0=nearest, 1=tozero, 2=up, 3=down. Return 1 if successful, 0 if not. */ int tests_hardware_setround (int mode) { #if WANT_ASSEMBLY && HAVE_HOST_CPU_FAMILY_x86 int rc; switch (mode) { case 0: rc = 0; break; /* nearest */ case 1: rc = 3; break; /* tozero */ case 2: rc = 2; break; /* up */ case 3: rc = 1; break; /* down */ default: return 0; } x86_fldcw ((x86_fstcw () & ~0xC00) | (rc << 10)); return 1; #endif return 0; } /* Return the hardware floating point rounding mode, or -1 if unknown. */ int tests_hardware_getround (void) { #if WANT_ASSEMBLY && HAVE_HOST_CPU_FAMILY_x86 switch ((x86_fstcw () & ~0xC00) >> 10) { case 0: return 0; break; /* nearest */ case 1: return 3; break; /* down */ case 2: return 2; break; /* up */ case 3: return 1; break; /* tozero */ } #endif return -1; } /* tests_dbl_mant_bits() determines by experiment the number of bits in the mantissa of a "double". If it's not possible to find a value (perhaps due to the compiler optimizing too aggressively), then return 0. This code is used rather than DBL_MANT_DIG from since ancient systems like SunOS don't have that file, and since one GNU/Linux ARM system was seen where the float emulation seemed to have only 32 working bits, not the 53 float.h claimed. */ int tests_dbl_mant_bits (void) { static int n = -1; volatile double x, y, d; if (n != -1) return n; n = 1; x = 2.0; for (;;) { /* see if 2^(n+1)+1 can be formed without rounding, if so then continue, if not then "n" is the answer */ y = x + 1.0; d = y - x; if (d != 1.0) { #if defined (DBL_MANT_DIG) && DBL_RADIX == 2 if (n != DBL_MANT_DIG) printf ("Warning, tests_dbl_mant_bits got %d but DBL_MANT_DIG says %d\n", n, DBL_MANT_DIG); #endif break; } x *= 2; n++; if (n > 1000) { printf ("Oops, tests_dbl_mant_bits can't determine mantissa size\n"); n = 0; break; } } return n; } /* See tests_setjmp_sigfpe in tests.h. */ jmp_buf tests_sigfpe_target; RETSIGTYPE tests_sigfpe_handler (int sig) { longjmp (tests_sigfpe_target, 1); } void tests_sigfpe_done (void) { signal (SIGFPE, SIG_DFL); }