/* Test file for mpfr_ui_div. Copyright 2000, 2001, 2002 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 #include #include "gmp.h" #include "mpfr.h" #include "mpfr-impl.h" #include "mpfr-test.h" void check _PROTO((unsigned long, double, mp_rnd_t, double)); void check_inexact _PROTO((void)); /* checks that y/x gives the same results in double and with mpfr with 53 bits of precision */ void check (unsigned long y, double x, mp_rnd_t rnd_mode, double z1) { double z2; mpfr_t xx, zz; mpfr_init2(xx, 53); mpfr_init2(zz, 53); mpfr_set_d(xx, x, rnd_mode); mpfr_ui_div(zz, y, xx, rnd_mode); #ifdef TEST mpfr_set_machine_rnd_mode(rnd_mode); #endif if (z1==0.0) z1 = y/x; z2 = mpfr_get_d(zz); if (z1!=z2 && !(isnan(z1) && isnan(z2))) { printf("expected quotient is %1.20e, got %1.20e\n",z1,z2); printf("mpfr_ui_div failed for y=%lu x=%1.20e with rnd_mode=%s\n", y, x, mpfr_print_rnd_mode(rnd_mode)); exit(1); } mpfr_clear(xx); mpfr_clear(zz); } 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); mpfr_random (x); u = LONG_RAND (); for (py=2; py<300; py++) { mpfr_set_prec (y, py); mpfr_set_prec (z, py + px); for (rnd=0; rnd<4; rnd++) { inexact = mpfr_ui_div (y, u, x, rnd); if (mpfr_mul (z, y, x, rnd)) { fprintf (stderr, "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))) { fprintf (stderr, "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); putchar ('\n'); printf ("y="); mpfr_print_binary (y); putchar ('\n'); printf ("y*x="); mpfr_print_binary (z); putchar ('\n'); exit (1); } } } } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } int main (int argc, char *argv[]) { #ifdef TEST double x; unsigned long y, N; int i,rnd_mode,rnd; #ifdef __mips /* to get denormalized 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 SEED_RAND(getpid()); N = (argc<2) ? 1000000 : atoi(argv[1]); rnd_mode = (argc<3) ? -1 : atoi(argv[2]); for (i=0;i<1000000;i++) { x = drand(); y = LONG_RAND(); if (ABS(x)>4e-286) { /* avoid denormalized numbers and overflows */ rnd = (rnd_mode==-1) ? LONG_RAND()%4 : rnd_mode; check(y, x, rnd, 0.0); } } #endif check_inexact (); check (1, DBL_POS_INF, GMP_RNDN, 0.0); check(1, DBL_NEG_INF, GMP_RNDN, -0.0); check(1, DBL_NAN, GMP_RNDN, DBL_NAN); check(0, 0.0, GMP_RNDN, DBL_NAN); 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); return 0; }