Annotation of OpenXM_contrib/gmp/mpfr/tests/tui_div.c, Revision 1.1.1.1
1.1 ohara 1: /* Test file for mpfr_ui_div.
2:
3: Copyright 2000, 2001, 2002 Free Software Foundation, Inc.
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 "gmp-impl.h"
28: #include "mpfr.h"
29: #include "mpfr-impl.h"
30: #include "mpfr-test.h"
31:
32: void check _PROTO((unsigned long, double, mp_rnd_t, double));
33: void check_inexact _PROTO((void));
34: void check_nan _PROTO((void));
35:
36: /* checks that y/x gives the same results in double
37: and with mpfr with 53 bits of precision */
38: void
39: check (unsigned long y, double x, mp_rnd_t rnd_mode, double z1)
40: {
41: double z2; mpfr_t xx, zz;
42:
43: mpfr_init2(xx, 53);
44: mpfr_init2(zz, 53);
45: mpfr_set_d(xx, x, rnd_mode);
46: mpfr_ui_div(zz, y, xx, rnd_mode);
47: #ifdef MPFR_HAVE_FESETROUND
48: mpfr_set_machine_rnd_mode(rnd_mode);
49: #endif
50: if (z1==0.0) z1 = y/x;
51: z2 = mpfr_get_d1 (zz);
52: if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
53: printf("expected quotient is %1.20e, got %1.20e\n",z1,z2);
54: printf("mpfr_ui_div failed for y=%lu x=%1.20e with rnd_mode=%s\n",
55: y, x, mpfr_print_rnd_mode(rnd_mode));
56: exit(1);
57: }
58: mpfr_clear(xx);
59: mpfr_clear(zz);
60: }
61:
62: void
63: check_inexact (void)
64: {
65: mpfr_t x, y, z;
66: mp_prec_t px, py;
67: int inexact, cmp;
68: unsigned long int u;
69: mp_rnd_t rnd;
70:
71: mpfr_init (x);
72: mpfr_init (y);
73: mpfr_init (z);
74:
75: for (px=2; px<300; px++)
76: {
77: mpfr_set_prec (x, px);
78: mpfr_random (x);
79: u = LONG_RAND ();
80: for (py=2; py<300; py++)
81: {
82: mpfr_set_prec (y, py);
83: mpfr_set_prec (z, py + px);
84: for (rnd=0; rnd<4; rnd++)
85: {
86: inexact = mpfr_ui_div (y, u, x, rnd);
87: if (mpfr_mul (z, y, x, rnd))
88: {
89: fprintf (stderr, "z <- y * x should be exact\n");
90: exit (1);
91: }
92: cmp = mpfr_cmp_ui (z, u);
93: if (((inexact == 0) && (cmp != 0)) ||
94: ((inexact > 0) && (cmp <= 0)) ||
95: ((inexact < 0) && (cmp >= 0)))
96: {
97: fprintf (stderr, "Wrong inexact flag for u=%lu, rnd=%s\n", u,
98: mpfr_print_rnd_mode(rnd));
99: printf ("expected %d, got %d\n", cmp, inexact);
100: printf ("x="); mpfr_print_binary (x); putchar ('\n');
101: printf ("y="); mpfr_print_binary (y); putchar ('\n');
102: printf ("y*x="); mpfr_print_binary (z); putchar ('\n');
103: exit (1);
104: }
105: }
106: }
107: }
108:
109: mpfr_clear (x);
110: mpfr_clear (y);
111: mpfr_clear (z);
112: }
113:
114: void
115: check_nan (void)
116: {
117: mpfr_t d, q;
118:
119: mpfr_init2 (d, 100L);
120: mpfr_init2 (q, 100L);
121:
122: /* 1/+inf == 0 */
123: MPFR_CLEAR_FLAGS (d);
124: MPFR_SET_INF (d);
125: MPFR_SET_POS (d);
126: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
127: ASSERT_ALWAYS (mpfr_number_p (q));
128: ASSERT_ALWAYS (mpfr_sgn (q) == 0);
129:
130: /* 1/-inf == -0 */
131: MPFR_CLEAR_FLAGS (d);
132: MPFR_SET_INF (d);
133: MPFR_SET_NEG (d);
134: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
135: ASSERT_ALWAYS (mpfr_number_p (q));
136: ASSERT_ALWAYS (mpfr_sgn (q) == 0);
137:
138: /* 1/nan == nan */
139: MPFR_SET_NAN (d);
140: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
141: ASSERT_ALWAYS (mpfr_nan_p (q));
142:
143: /* 0/0 == nan */
144: mpfr_set_ui (d, 0L, GMP_RNDN);
145: ASSERT_ALWAYS (mpfr_ui_div (q, 0L, d, GMP_RNDZ) == 0); /* exact */
146: ASSERT_ALWAYS (mpfr_nan_p (q));
147:
148: mpfr_clear (d);
149: mpfr_clear (q);
150: }
151:
152: int
153: main (int argc, char *argv[])
154: {
155: #ifdef MPFR_HAVE_FESETROUND
156: double x;
157: unsigned long y, N;
158: int i, rnd_mode, rnd;
159:
160: mpfr_test_init ();
161:
162: SEED_RAND(time(NULL));
163: N = (argc<2) ? 1000000 : atoi(argv[1]);
164: rnd_mode = (argc<3) ? -1 : atoi(argv[2]);
165: for (i=0;i<1000000;i++)
166: {
167: x = drand();
168: y = LONG_RAND();
169: if (ABS(x)>4e-286)
170: {
171: /* avoid denormalized numbers and overflows */
172: rnd = (rnd_mode==-1) ? LONG_RAND()%4 : rnd_mode;
173: check(y, x, rnd, 0.0);
174: }
175: }
176: #endif
177: check_inexact ();
178: check(948002822, 1.22191250737771397120e+20, GMP_RNDN,
179: 7.758352715731357946e-12);
180: check(1976245324, 1.25296395864546893357e+232, GMP_RNDZ,
181: 1.5772563211925444801e-223);
182: check(740454110, 2.11496253355831863313e+183, GMP_RNDZ,
183: 3.5010270784996976041e-175);
184: check(1690540942, 1.28278599852446657468e-276, GMP_RNDU,
185: 1.3178666932321966062e285);
186: check(1476599377, -2.14191393656148625995e+305, GMP_RNDD,
187: -6.8938315017943889615e-297);
188:
189: return 0;
190: }
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