/* Test file for mpfr_sqr. Copyright 2004-2015 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 "mpfr-test.h" #define TEST_FUNCTION mpfr_sqr #include "tgeneric.c" static int inexact_sign (int x) { return (x < 0) ? -1 : (x > 0); } static void error1 (mpfr_rnd_t rnd, mpfr_prec_t prec, mpfr_t in, mpfr_t outmul, mpfr_t outsqr) { printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd), (unsigned long) prec); mpfr_dump(in); printf("OutputMul="); mpfr_dump(outmul); printf("OutputSqr="); mpfr_dump(outsqr); exit(1); } static void error2 (mpfr_rnd_t rnd, mpfr_prec_t prec, mpfr_t in, mpfr_t out, int inexactmul, int inexactsqr) { printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd), (unsigned long) prec); mpfr_dump(in); printf("Output="); mpfr_dump(out); printf("InexactMul= %d InexactSqr= %d\n", inexactmul, inexactsqr); exit(1); } static void check_random (mpfr_prec_t p) { mpfr_t x,y,z; int r; int i, inexact1, inexact2; mpfr_inits2 (p, x, y, z, (mpfr_ptr) 0); for(i = 0 ; i < 500 ; i++) { mpfr_urandomb (x, RANDS); if (MPFR_IS_PURE_FP(x)) for (r = 0 ; r < MPFR_RND_MAX ; r++) { inexact1 = mpfr_mul (y, x, x, (mpfr_rnd_t) r); inexact2 = mpfr_sqr (z, x, (mpfr_rnd_t) r); if (mpfr_cmp (y, z)) error1 ((mpfr_rnd_t) r,p,x,y,z); if (inexact_sign (inexact1) != inexact_sign (inexact2)) error2 ((mpfr_rnd_t) r,p,x,y,inexact1,inexact2); } } mpfr_clears (x, y, z, (mpfr_ptr) 0); } static void check_special (void) { mpfr_t x, y; mpfr_exp_t emin; mpfr_init (x); mpfr_init (y); mpfr_set_nan (x); mpfr_sqr (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_nan_p (y)); mpfr_set_inf (x, 1); mpfr_sqr (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0); mpfr_set_inf (x, -1); mpfr_sqr (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0); mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_sqr (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_zero_p (y)); emin = mpfr_get_emin (); mpfr_set_emin (0); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_div_2ui (x, x, 1, MPFR_RNDN); MPFR_ASSERTN (!mpfr_zero_p (x)); mpfr_sqr (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_zero_p (y)); mpfr_set_emin (emin); mpfr_clear (y); mpfr_clear (x); } /* Test of a bug seen with GCC 4.5.2 and GMP 5.0.1 on m68k (m68000 target). https://sympa.inria.fr/sympa/arc/mpfr/2011-05/msg00003.html https://sympa.inria.fr/sympa/arc/mpfr/2011-05/msg00041.html */ static void check_mpn_sqr (void) { #if GMP_NUMB_BITS == 32 && __GNU_MP_VERSION >= 5 /* Note: since we test a low-level bug, src is initialized without using a GMP function, just in case. */ mp_limb_t src[5] = { 0x90000000, 0xbaa55f4f, 0x2cbec4d9, 0xfcef3242, 0xda827999 }; mp_limb_t exd[10] = { 0x00000000, 0x31000000, 0xbd4bc59a, 0x41fbe2b5, 0x33471e7e, 0x90e826a7, 0xbaa55f4f, 0x2cbec4d9, 0xfcef3242, 0xba827999 }; mp_limb_t dst[10]; int i; mpn_sqr (dst, src, 5); /* new in GMP 5 */ for (i = 0; i < 10; i++) { if (dst[i] != exd[i]) { printf ("Error in check_mpn_sqr\n"); printf ("exd[%d] = 0x%08lx\n", i, (unsigned long) exd[i]); printf ("dst[%d] = 0x%08lx\n", i, (unsigned long) dst[i]); printf ("Note: This is not a bug in MPFR, but a bug in" " either GMP or, more\nprobably, in the compiler." " It may cause other tests to fail.\n"); exit (1); } } #endif } int main (void) { mpfr_prec_t p; tests_start_mpfr (); check_mpn_sqr (); check_special (); for (p = 2; p < 200; p++) check_random (p); test_generic (2, 200, 15); data_check ("data/sqr", mpfr_sqr, "mpfr_sqr"); bad_cases (mpfr_sqr, mpfr_sqrt, "mpfr_sqr", 8, -256, 255, 4, 128, 800, 50); tests_end_mpfr (); return 0; }