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Annotation of OpenXM_contrib/gmp/mpfr/tests/tsub_ui.c, Revision 1.1

1.1     ! ohara       1: /* Test file for mpfr_sub_ui
        !             2:
        !             3: Copyright 2000, 2001, 2002 Free Software Foundation.
        !             4:
        !             5: This file is part of the MPFR Library.
        !             6:
        !             7: The MPFR Library is free software; you can redistribute it and/or modify
        !             8: it under the terms of the GNU Lesser General Public License as published by
        !             9: the Free Software Foundation; either version 2.1 of the License, or (at your
        !            10: option) any later version.
        !            11:
        !            12: The MPFR Library is distributed in the hope that it will be useful, but
        !            13: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
        !            14: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
        !            15: License for more details.
        !            16:
        !            17: You should have received a copy of the GNU Lesser General Public License
        !            18: along with the MPFR Library; see the file COPYING.LIB.  If not, write to
        !            19: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
        !            20: MA 02111-1307, USA. */
        !            21:
        !            22: #include <math.h>
        !            23: #include <stdio.h>
        !            24: #include <stdlib.h>
        !            25: #include <time.h>
        !            26: #include "gmp.h"
        !            27: #include "mpfr.h"
        !            28: #include "mpfr-impl.h"
        !            29: #include "mpfr-test.h"
        !            30:
        !            31: void check_two_sum _PROTO ((mp_prec_t));
        !            32: void check3 _PROTO ((double, unsigned long, mp_rnd_t, double));
        !            33:
        !            34: #define check(x,y,r) check3(x,y,r,0.0)
        !            35:
        !            36: /* checks that x+y gives the same results in double
        !            37:    and with mpfr with 53 bits of precision */
        !            38: void
        !            39: check3 (double x, unsigned long y, mp_rnd_t rnd_mode, double z1)
        !            40: {
        !            41:   double z2;
        !            42:   mpfr_t xx,zz;
        !            43:
        !            44:   mpfr_init(xx);
        !            45:   mpfr_init(zz);
        !            46:   mpfr_set_prec(xx, 53);
        !            47:   mpfr_set_prec(zz, 53);
        !            48:   mpfr_set_d(xx, x, rnd_mode);
        !            49:   mpfr_sub_ui(zz, xx, y, rnd_mode);
        !            50: #ifdef MPFR_HAVE_FESETROUND
        !            51:   mpfr_set_machine_rnd_mode(rnd_mode);
        !            52: #endif
        !            53:   if (z1==0.0) z1 = x-y;
        !            54:   z2 = mpfr_get_d1 (zz);
        !            55:   if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
        !            56:     printf("expected sum is %1.20e, got %1.20e\n",z1,z2);
        !            57:     printf("mpfr_sub_ui failed for x=%1.20e y=%lu with rnd_mode=%s\n",
        !            58:           x, y, mpfr_print_rnd_mode(rnd_mode));
        !            59:     exit(1);
        !            60:   }
        !            61:   mpfr_clear(xx);
        !            62:   mpfr_clear(zz);
        !            63: }
        !            64:
        !            65: /* FastTwoSum: if EXP(x) >= EXP(y), u = o(x+y), v = o(u-x), w = o(y-v),
        !            66:                then x + y = u + w
        !            67: thus if u = o(y-x), v = o(u+x), w = o(v-y), then y-x = u-w */
        !            68: void
        !            69: check_two_sum (mp_prec_t p)
        !            70: {
        !            71:   unsigned int x;
        !            72:   mpfr_t y, u, v, w;
        !            73:   mp_rnd_t rnd;
        !            74:   int inexact;
        !            75:
        !            76:   mpfr_init2 (y, p);
        !            77:   mpfr_init2 (u, p);
        !            78:   mpfr_init2 (v, p);
        !            79:   mpfr_init2 (w, p);
        !            80:   do
        !            81:     {
        !            82:       x = LONG_RAND ();
        !            83:     }
        !            84:   while (x < 1);
        !            85:   mpfr_random (y);
        !            86:   rnd = LONG_RAND() % 4;
        !            87:   rnd = GMP_RNDN;
        !            88:   inexact = mpfr_sub_ui (u, y, x, GMP_RNDN);
        !            89:   mpfr_add_ui (v, u, x, GMP_RNDN);
        !            90:   mpfr_sub (w, v, y, GMP_RNDN);
        !            91:   /* as u - (y-x) = w, we should have inexact and w of same sign */
        !            92:   if (((inexact == 0) && mpfr_cmp_ui (w, 0)) ||
        !            93:       ((inexact > 0) && (mpfr_cmp_ui (w, 0) <= 0)) ||
        !            94:       ((inexact < 0) && (mpfr_cmp_ui (w, 0) >= 0)))
        !            95:     {
        !            96:       fprintf (stderr, "Wrong inexact flag for prec=%u, rnd=%s\n", (unsigned)p,
        !            97:               mpfr_print_rnd_mode (rnd));
        !            98:       printf ("x=%u\n", x);
        !            99:       printf ("y="); mpfr_print_binary(y); putchar('\n');
        !           100:       printf ("u="); mpfr_print_binary(u); putchar('\n');
        !           101:       printf ("v="); mpfr_print_binary(v); putchar('\n');
        !           102:       printf ("w="); mpfr_print_binary(w); putchar('\n');
        !           103:       printf ("inexact = %d\n", inexact);
        !           104:       exit (1);
        !           105:     }
        !           106:   mpfr_clear (y);
        !           107:   mpfr_clear (u);
        !           108:   mpfr_clear (v);
        !           109:   mpfr_clear (w);
        !           110: }
        !           111:
        !           112: int
        !           113: main (int argc, char *argv[])
        !           114: {
        !           115:   mp_prec_t p;
        !           116:   int k;
        !           117: #ifdef MPFR_HAVE_FESETROUND
        !           118:   double x; unsigned long y, N; int i,rnd_mode,rnd;
        !           119:
        !           120:   mpfr_test_init ();
        !           121:
        !           122:   SEED_RAND (time(NULL));
        !           123:   N = (argc<2) ? 1000000 : atoi(argv[1]);
        !           124:   rnd_mode = (argc<3) ? -1 : atoi(argv[2]);
        !           125:   for (i=0;i<1000000;i++) {
        !           126:     x = drand();
        !           127:     y = LONG_RAND();
        !           128:     if (ABS(x)>2.2e-307 && x+y<1.7e+308 && x+y>-1.7e308) {
        !           129:       /* avoid denormalized numbers and overflows */
        !           130:       rnd = (rnd_mode==-1) ? LONG_RAND()%4 : rnd_mode;
        !           131:       check(x, y, rnd);
        !           132:     }
        !           133:   }
        !           134: #endif
        !           135:
        !           136:   for (p=2; p<200; p++)
        !           137:     for (k=0; k<200; k++)
        !           138:       check_two_sum (p);
        !           139:
        !           140:   check3 (0.9999999999, 1, GMP_RNDN, -56295.0 / 562949953421312.0);
        !           141: #ifdef HAVE_INFS
        !           142:   check3 (DBL_NAN, 1, GMP_RNDN, DBL_NAN);
        !           143:   check3 (DBL_POS_INF, 1, GMP_RNDN, DBL_POS_INF);
        !           144:   check3 (DBL_NEG_INF, 1, GMP_RNDN, DBL_NEG_INF);
        !           145: #endif
        !           146:
        !           147:   return 0;
        !           148: }
        !           149:
        !           150: