/* Test file for mpfr_ui_div. Copyright 2000, 2001, 2002, 2003, 2004 Free Software Foundation, Inc. This file is part of the MPFR Library. The 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 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 MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include #include #include "mpfr-test.h" /* checks that y/x gives the right result with 53 bits of precision */ static void check (unsigned long y, const char *xs, mp_rnd_t rnd_mode, const char *zs) { mpfr_t xx, zz; mpfr_inits2 (53, xx, zz, NULL); mpfr_set_str1 (xx, xs); mpfr_ui_div (zz, y, xx, rnd_mode); if (mpfr_cmp_str1(zz, zs)) { printf ("expected quotient is %s, got ", zs); mpfr_out_str (stdout, 10, 0, zz, GMP_RNDN); printf ("mpfr_ui_div failed for y=%lu x=%s with rnd_mode=%s\n", y, xs, mpfr_print_rnd_mode (rnd_mode)); exit (1); } mpfr_clears (xx, zz, NULL); } static void check_inexact (void) { mpfr_t x, y, z; mp_prec_t px, py; int inexact, cmp; unsigned long int u; mp_rnd_t rnd; mpfr_init (x); mpfr_init (y); mpfr_init (z); for (px=2; px<300; px++) { mpfr_set_prec (x, px); do { mpfr_random (x); } while (mpfr_cmp_ui (x, 0) == 0); u = randlimb (); for (py=2; py<300; py++) { mpfr_set_prec (y, py); mpfr_set_prec (z, py + px); for (rnd = 0; rnd < GMP_RND_MAX; rnd++) { inexact = mpfr_ui_div (y, u, x, rnd); if (mpfr_mul (z, y, x, rnd)) { printf ("z <- y * x should be exact\n"); exit (1); } cmp = mpfr_cmp_ui (z, u); if (((inexact == 0) && (cmp != 0)) || ((inexact > 0) && (cmp <= 0)) || ((inexact < 0) && (cmp >= 0))) { printf ("Wrong inexact flag for u=%lu, rnd=%s\n", u, mpfr_print_rnd_mode (rnd)); printf ("expected %d, got %d\n", cmp, inexact); printf ("x="); mpfr_print_binary (x); puts (""); printf ("y="); mpfr_print_binary (y); puts (""); printf ("y*x="); mpfr_print_binary (z); puts (""); exit (1); } } } } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } static void check_nan (void) { mpfr_t d, q; mpfr_init2 (d, 100L); mpfr_init2 (q, 100L); /* 1/+inf == 0 */ MPFR_CLEAR_FLAGS (d); MPFR_SET_INF (d); MPFR_SET_POS (d); MPFR_ASSERTN (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_number_p (q)); MPFR_ASSERTN (mpfr_sgn (q) == 0); /* 1/-inf == -0 */ MPFR_CLEAR_FLAGS (d); MPFR_SET_INF (d); MPFR_SET_NEG (d); MPFR_ASSERTN (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_number_p (q)); MPFR_ASSERTN (mpfr_sgn (q) == 0); /* 1/nan == nan */ MPFR_SET_NAN (d); MPFR_ASSERTN (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_nan_p (q)); /* 0/0 == nan */ mpfr_set_ui (d, 0L, GMP_RNDN); MPFR_ASSERTN (mpfr_ui_div (q, 0L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_nan_p (q)); /* 1/+0 = +inf */ mpfr_set_ui (d, 0L, GMP_RNDN); MPFR_ASSERTN (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0); /* 1/-0 = -inf */ mpfr_set_ui (d, 0L, GMP_RNDN); mpfr_neg (d, d, GMP_RNDN); MPFR_ASSERTN (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0); /* 0/1 = +0 */ mpfr_set_ui (d, 1L, GMP_RNDN); MPFR_ASSERTN (mpfr_ui_div (q, 0L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_cmp_ui (q, 0) == 0 && MPFR_IS_POS (q)); /* 0/-1 = -0 */ mpfr_set_si (d, -1, GMP_RNDN); MPFR_ASSERTN (mpfr_ui_div (q, 0L, d, GMP_RNDZ) == 0); /* exact */ MPFR_ASSERTN (mpfr_cmp_ui (q, 0) == 0 && MPFR_IS_NEG (q)); mpfr_clear (d); mpfr_clear (q); } int main (int argc, char *argv[]) { tests_start_mpfr (); check_nan (); check_inexact (); check(948002822, "1.22191250737771397120e+20", GMP_RNDN, "7.758352715731357946e-12"); check(1976245324, "1.25296395864546893357e+232", GMP_RNDZ, "1.5772563211925444801e-223"); check(740454110, "2.11496253355831863313e+183", GMP_RNDZ, "3.5010270784996976041e-175"); check(1690540942, "1.28278599852446657468e-276", GMP_RNDU, "1.3178666932321966062e285"); check(1476599377, "-2.14191393656148625995e+305", GMP_RNDD, "-6.8938315017943889615e-297"); tests_end_mpfr (); return 0; }