Annotation of OpenXM_contrib/gmp/mpfr/tests/tdiv_ui.c, Revision 1.1.1.1
1.1 ohara 1: /* Test file for mpfr_div_ui.
2:
3: Copyright 1999, 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 <stdio.h>
23: #include <stdlib.h>
24: #include <time.h>
25: #include "gmp.h"
26: #include "mpfr.h"
27: #include "mpfr-test.h"
28:
29: void check _PROTO((double, unsigned long, mp_rnd_t, double));
30: void special _PROTO((void));
31: void check_inexact _PROTO((void));
32:
33: void
34: check (double d, unsigned long u, mp_rnd_t rnd, double e)
35: {
36: mpfr_t x, y;
37: double f;
38:
39: mpfr_init2(x, 53); mpfr_init2(y, 53);
40: #ifdef MPFR_HAVE_FESETROUND
41: mpfr_set_machine_rnd_mode(rnd);
42: #endif
43: if (e==0.0) e = d / u;
44: mpfr_set_d(x, d, rnd);
45: mpfr_div_ui(y, x, u, rnd);
46: f = mpfr_get_d1 (y);
47: if (f != e && (!isnan(f) || !isnan(e))) {
48: printf("mpfr_div_ui failed for x=%1.20e, u=%lu, rnd=%s\n", d, u,
49: mpfr_print_rnd_mode(rnd));
50: printf("expected result is %1.20e, got %1.20e, dif=%d ulp\n",e,f,ulp(e,f));
51: exit(1);
52: }
53: mpfr_clear(x); mpfr_clear(y);
54: }
55:
56: void
57: special (void)
58: {
59: mpfr_t x, y;
60: unsigned xprec, yprec;
61:
62: mpfr_init (x);
63: mpfr_init (y);
64:
65: mpfr_set_prec (x, 32);
66: mpfr_set_prec (y, 32);
67: mpfr_set_ui (x, 1, GMP_RNDN);
68: mpfr_div_ui (y, x, 3, GMP_RNDN);
69:
70: mpfr_set_prec (x, 100);
71: mpfr_set_prec (y, 100);
72: mpfr_random (x);
73: mpfr_div_ui (y, x, 123456, GMP_RNDN);
74: mpfr_set_ui (x, 0, GMP_RNDN);
75: mpfr_div_ui (y, x, 123456789, GMP_RNDN);
76: if (mpfr_cmp_ui (y, 0))
77: {
78: fprintf (stderr, "mpfr_div_ui gives non-zero for 0/ui\n");
79: exit (1);
80: }
81:
82: /* bug found by Norbert Mueller, 21 Aug 2001 */
83: mpfr_set_prec (x, 110);
84: mpfr_set_prec (y, 60);
85: mpfr_set_str_raw (x, "0.110101110011111110011111001110011001110111000000111110001000111011000011E-44");
86: mpfr_div_ui (y, x, 17, GMP_RNDN);
87: mpfr_set_str_raw (x, "0.11001010100101100011101110000001100001010110101001010011011E-48");
88: if (mpfr_cmp (x, y))
89: {
90: fprintf (stderr, "Error in x/17 for x=1/16!\n");
91: fprintf (stderr, "Expected ");
92: mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
93: fprintf (stderr, "\nGot ");
94: mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
95: fprintf (stderr, "\n");
96: exit (1);
97: }
98:
99: for (xprec = 53; xprec <= 128; xprec++)
100: {
101: mpfr_set_prec (x, xprec);
102: mpfr_set_str_raw (x, "0.1100100100001111110011111000000011011100001100110111E2");
103: for (yprec = 53; yprec <= 128; yprec++)
104: {
105: mpfr_set_prec (y, yprec);
106: mpfr_div_ui (y, x, 1, GMP_RNDN);
107: if (mpfr_get_d1 (x) != mpfr_get_d1 (y))
108: {
109: fprintf (stderr, "division by 1.0 fails for xprec=%u, yprec=%u\n", xprec, yprec);
110: printf ("expected "); mpfr_print_binary (x); putchar ('\n');
111: printf ("got "); mpfr_print_binary (y); putchar ('\n');
112: exit (1);
113: }
114: }
115: }
116:
117: mpfr_clear (x);
118: mpfr_clear (y);
119: }
120:
121: void
122: check_inexact (void)
123: {
124: mpfr_t x, y, z;
125: mp_prec_t px, py;
126: int inexact, cmp;
127: unsigned long int u;
128: mp_rnd_t rnd;
129:
130: mpfr_init (x);
131: mpfr_init (y);
132: mpfr_init (z);
133:
134: for (px=2; px<300; px++)
135: {
136: mpfr_set_prec (x, px);
137: mpfr_random (x);
138: do { u = LONG_RAND (); } while (u == 0);
139: for (py=2; py<300; py++)
140: {
141: mpfr_set_prec (y, py);
142: mpfr_set_prec (z, py + mp_bits_per_limb);
143: for (rnd=0; rnd<4; rnd++)
144: {
145: inexact = mpfr_div_ui (y, x, u, rnd);
146: if (mpfr_mul_ui (z, y, u, rnd))
147: {
148: fprintf (stderr, "z <- y * u should be exact for u=%lu\n", u);
149: printf ("y="); mpfr_print_binary (y); putchar ('\n');
150: printf ("z="); mpfr_print_binary (z); putchar ('\n');
151: exit (1);
152: }
153: cmp = mpfr_cmp (z, x);
154: if (((inexact == 0) && (cmp != 0)) ||
155: ((inexact > 0) && (cmp <= 0)) ||
156: ((inexact < 0) && (cmp >= 0)))
157: {
158: fprintf (stderr, "Wrong inexact flag for u=%lu, rnd=%s\n", u,
159: mpfr_print_rnd_mode(rnd));
160: printf ("x="); mpfr_print_binary (x); putchar ('\n');
161: printf ("y="); mpfr_print_binary (y); putchar ('\n');
162: exit (1);
163: }
164: }
165: }
166: }
167:
168: mpfr_clear (x);
169: mpfr_clear (y);
170: mpfr_clear (z);
171: }
172:
173: int
174: main (int argc, char **argv)
175: {
176: mpfr_t x;
177: #ifdef MPFR_HAVE_FESETROUND
178: int i;
179: unsigned long u;
180: double d;
181:
182: mpfr_test_init ();
183:
184: SEED_RAND (time(NULL));
185: for (i=0;i<1000000;i++)
186: {
187: do { u = LONG_RAND(); } while (u==0);
188: do { d = drand(); } while (ABS(d/u)<2.2e-307);
189: check (d, u, LONG_RAND() % 4, 0.0);
190: }
191: #endif
192:
193: check_inexact ();
194:
195: special ();
196:
197: check(1.0, 3, GMP_RNDN, 3.3333333333333331483e-1);
198: check(1.0, 3, GMP_RNDZ, 3.3333333333333331483e-1);
199: check(1.0, 3, GMP_RNDU, 3.3333333333333337034e-1);
200: check(1.0, 3, GMP_RNDD, 3.3333333333333331483e-1);
201: check(1.0, 2116118, GMP_RNDN, 4.7256343927890600483e-7);
202: check(1.098612288668109782, 5, GMP_RNDN, 0.21972245773362195087);
203:
204: mpfr_init2(x, 100);
205: mpfr_set_prec(x, 53);
206: mpfr_set_ui(x, 3, GMP_RNDD);
207: mpfr_log(x, x, GMP_RNDD);
208: mpfr_div_ui(x, x, 5, GMP_RNDD);
209: if (mpfr_get_d1 (x) != 0.21972245773362189536) {
210: fprintf(stderr, "Error in mpfr_div_ui for x=ln(3), u=5\n"); exit(1);
211: }
212: mpfr_clear(x);
213:
214: return 0;
215: }
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