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1 /* Test file for mpfr_ui_pow and mpfr_ui_pow_ui. | |
2 | |
3 Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Fou
ndation, Inc. | |
4 Contributed by the Arenaire and Cacao projects, INRIA. | |
5 | |
6 This file is part of the GNU MPFR Library. | |
7 | |
8 The GNU MPFR Library is free software; you can redistribute it and/or modify | |
9 it under the terms of the GNU Lesser General Public License as published by | |
10 the Free Software Foundation; either version 2.1 of the License, or (at your | |
11 option) any later version. | |
12 | |
13 The GNU MPFR Library is distributed in the hope that it will be useful, but | |
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY | |
15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public | |
16 License for more details. | |
17 | |
18 You should have received a copy of the GNU Lesser General Public License | |
19 along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to | |
20 the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, | |
21 MA 02110-1301, USA. */ | |
22 | |
23 #include <stdio.h> | |
24 #include <stdlib.h> | |
25 #include <limits.h> | |
26 | |
27 #include "mpfr-test.h" | |
28 | |
29 static void | |
30 test1 (void) | |
31 { | |
32 mpfr_t x, y, z, a; | |
33 int res1, res2; | |
34 | |
35 mpfr_init2 (x, 32); | |
36 mpfr_init2 (y, 65); | |
37 mpfr_init2 (z, 17); | |
38 mpfr_init2 (a, 17); | |
39 | |
40 mpfr_set_str_binary (x, "-0.101110001001011011011e-9"); | |
41 mpfr_ui_pow (y, 7, x, GMP_RNDN); | |
42 | |
43 mpfr_set_prec (x, 40); | |
44 mpfr_set_str_binary (x, "-0.1100101100101111011001010010110011110110E-1"); | |
45 mpfr_set_prec (y, 74); | |
46 mpfr_ui_pow (y, 8, x, GMP_RNDN); | |
47 mpfr_set_prec (x, 74); | |
48 mpfr_set_str_binary (x, "0.111000000101001111010000111110110110100110000110001
01011010011010101000011E-1"); | |
49 if (mpfr_cmp (x, y)) | |
50 { | |
51 printf ("Error for input of 40 bits, output of 74 bits\n"); | |
52 exit (1); | |
53 } | |
54 | |
55 /* Check for ui_pow_ui */ | |
56 mpfr_ui_pow_ui (x, 0, 1, GMP_RNDN); | |
57 MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x)); | |
58 mpfr_ui_pow_ui (x, 0, 4, GMP_RNDN); | |
59 MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x)); | |
60 res1 = mpfr_ui_pow_ui (z, 17, 42, GMP_RNDD); | |
61 mpfr_set_ui (x, 17, GMP_RNDN); | |
62 mpfr_set_ui (y, 42, GMP_RNDN); | |
63 res2 = mpfr_pow (a, x, y, GMP_RNDD); | |
64 if (mpfr_cmp (z, a) || res1 != res2) | |
65 { | |
66 printf ("Error for ui_pow_ui for 17^42\n" | |
67 "Inexact1 = %d Inexact2 = %d\n", res1, res2); | |
68 mpfr_dump (z); | |
69 mpfr_dump (a); | |
70 exit (1); | |
71 } | |
72 mpfr_set_prec (x, 2); | |
73 mpfr_ui_pow_ui (x, 65537, 65535, GMP_RNDN); | |
74 if (mpfr_cmp_str (x, "0.11E1048562", 2, GMP_RNDN) != 0) | |
75 { | |
76 printf ("Error for ui_pow_ui for 65537 ^65535 with 2 bits of precision\n")
; | |
77 mpfr_dump (x); | |
78 exit (1); | |
79 } | |
80 mpfr_clear (x); | |
81 mpfr_clear (y); | |
82 mpfr_clear (z); | |
83 mpfr_clear (a); | |
84 } | |
85 | |
86 static void | |
87 check1 (mpfr_ptr x, mp_prec_t prec, unsigned long nt, mp_rnd_t rnd) | |
88 { | |
89 mpfr_t y, z, t; | |
90 int inexact, compare, compare2; | |
91 mp_prec_t yprec; | |
92 mp_exp_t err; | |
93 | |
94 yprec = prec + 10; | |
95 | |
96 mpfr_init (y); | |
97 mpfr_init (z); | |
98 mpfr_init (t); | |
99 mpfr_set_prec (y, yprec); | |
100 mpfr_set_prec (z, prec); | |
101 mpfr_set_prec (t, prec); | |
102 | |
103 compare = mpfr_ui_pow (y, nt, x, rnd); | |
104 err = (rnd == GMP_RNDN) ? yprec + 1 : yprec; | |
105 if (mpfr_can_round (y, err, rnd, rnd, prec)) | |
106 { | |
107 mpfr_set (t, y, rnd); | |
108 inexact = mpfr_ui_pow (z, nt, x, rnd); | |
109 if (mpfr_cmp (t, z)) | |
110 { | |
111 printf ("results differ for x="); | |
112 mpfr_out_str (stdout, 2, prec, x, GMP_RNDN); | |
113 printf (" n=%lu", nt); | |
114 printf (" prec=%u rnd_mode=%s\n", (unsigned) prec, | |
115 mpfr_print_rnd_mode (rnd)); | |
116 printf ("got "); | |
117 mpfr_out_str (stdout, 2, prec, z, GMP_RNDN); | |
118 puts (""); | |
119 printf ("expected "); | |
120 mpfr_out_str (stdout, 2, prec, t, GMP_RNDN); | |
121 puts (""); | |
122 printf ("approx "); | |
123 mpfr_print_binary (y); | |
124 puts (""); | |
125 exit (1); | |
126 } | |
127 compare2 = mpfr_cmp (t, y); | |
128 /* if rounding to nearest, cannot know the sign of t - f(x) | |
129 because of composed rounding: y = o(f(x)) and t = o(y) */ | |
130 if ((rnd != GMP_RNDN) && (compare * compare2 >= 0)) | |
131 compare = compare + compare2; | |
132 else | |
133 compare = inexact; /* cannot determine sign(t-f(x)) */ | |
134 if (((inexact == 0) && (compare != 0)) || | |
135 ((inexact > 0) && (compare <= 0)) || | |
136 ((inexact < 0) && (compare >= 0))) | |
137 { | |
138 printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n", | |
139 mpfr_print_rnd_mode (rnd), compare, inexact); | |
140 printf ("x="); mpfr_print_binary (x); puts (""); | |
141 printf ("y="); mpfr_print_binary (y); puts (""); | |
142 printf ("t="); mpfr_print_binary (t); puts (""); | |
143 exit (1); | |
144 } | |
145 } | |
146 | |
147 mpfr_clear (y); | |
148 mpfr_clear (z); | |
149 mpfr_clear (t); | |
150 } | |
151 | |
152 int | |
153 main (int argc, char *argv[]) | |
154 { | |
155 mpfr_t x, y; | |
156 unsigned long int n; | |
157 | |
158 tests_start_mpfr (); | |
159 | |
160 mpfr_init (x); | |
161 mpfr_init (y); | |
162 | |
163 n = randlimb (); | |
164 | |
165 MPFR_SET_INF(x); | |
166 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
167 if(!MPFR_IS_INF(y)) | |
168 { | |
169 printf ("evaluation of function in INF does not return INF\n"); | |
170 exit (1); | |
171 } | |
172 | |
173 MPFR_CHANGE_SIGN(x); | |
174 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
175 if(!MPFR_IS_ZERO(y)) | |
176 { | |
177 printf ("evaluation of function in -INF does not return 0"); | |
178 exit (1); | |
179 } | |
180 | |
181 MPFR_SET_NAN(x); | |
182 mpfr_ui_pow (y, n, x, GMP_RNDN); | |
183 if(!MPFR_IS_NAN(y)) | |
184 { | |
185 printf ("evaluation of function in NAN does not return NAN"); | |
186 exit (1); | |
187 } | |
188 | |
189 test1 (); | |
190 | |
191 { | |
192 mpfr_t z, t; | |
193 mp_prec_t prec; | |
194 mp_rnd_t rnd; | |
195 unsigned int n; | |
196 | |
197 mp_prec_t p0=2, p1=100; | |
198 unsigned int N=20; | |
199 | |
200 mpfr_init2 (z, 38); | |
201 mpfr_init2 (t, 6); | |
202 | |
203 /* check exact power */ | |
204 mpfr_set_str_binary (t, "0.110000E5"); | |
205 mpfr_ui_pow (z, 3, t, GMP_RNDN); | |
206 | |
207 mpfr_set_prec (x, 2); | |
208 mpfr_set_prec (y, 2); | |
209 mpfr_set_str (x, "-0.5", 10, GMP_RNDZ); | |
210 mpfr_ui_pow (y, 4, x, GMP_RNDD); | |
211 if (mpfr_cmp_ui_2exp(y, 1, -1)) | |
212 { | |
213 fprintf (stderr, "Error for 4^(-0.5), prec=2, GMP_RNDD\n"); | |
214 fprintf (stderr, "expected 0.5, got "); | |
215 mpfr_out_str (stderr, 2, 0, y, GMP_RNDN); | |
216 fprintf (stderr, "\n"); | |
217 exit (1); | |
218 } | |
219 | |
220 /* problem found by Kevin on spe175.testdrive.compaq.com | |
221 (03 Sep 2003) */ | |
222 mpfr_set_prec (x, 2); | |
223 mpfr_set_prec (y, 2); | |
224 mpfr_set_str (x, "0.5", 10, GMP_RNDN); | |
225 mpfr_ui_pow (y, 398441521, x, GMP_RNDN); | |
226 if (mpfr_cmp_ui_2exp(y, 1, 14)) | |
227 { | |
228 fprintf (stderr, "Error for 398441521^(0.5), prec=2, GMP_RNDN\n"); | |
229 fprintf (stderr, "expected 1.0e14, got "); | |
230 mpfr_out_str (stderr, 2, 0, y, GMP_RNDN); | |
231 fprintf (stderr, "\n"); | |
232 exit (1); | |
233 } | |
234 | |
235 mpfr_clear (z); | |
236 mpfr_clear (t); | |
237 | |
238 mpfr_set_prec (x, 2); | |
239 mpfr_set_str (x, "0.5", 10, GMP_RNDN); | |
240 check1 (x, 2, 398441521, GMP_RNDN); /* 398441521 = 19961^2 */ | |
241 | |
242 /* generic test */ | |
243 for (prec = p0; prec <= p1; prec++) | |
244 { | |
245 mpfr_set_prec (x, prec); | |
246 for (n=0; n<N; n++) | |
247 { | |
248 int nt; | |
249 nt = randlimb () & INT_MAX; | |
250 mpfr_urandomb (x, RANDS); | |
251 rnd = RND_RAND (); | |
252 check1 (x, prec, nt, rnd); | |
253 } | |
254 } | |
255 } | |
256 | |
257 mpfr_clear (x); | |
258 mpfr_clear (y); | |
259 | |
260 tests_end_mpfr (); | |
261 return 0; | |
262 } | |
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