1 /* Test mpz_nextprime.
2 
3 Copyright 2009 Free Software Foundation, Inc.
4 
5 This file is part of the GNU MP Library test suite.
6 
7 The GNU MP Library test suite is free software; you can redistribute it
8 and/or modify it under the terms of the GNU General Public License as
9 published by the Free Software Foundation; either version 3 of the License,
10 or (at your option) any later version.
11 
12 The GNU MP Library test suite is distributed in the hope that it will be
13 useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
15 Public License for more details.
16 
17 You should have received a copy of the GNU General Public License along with
18 the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */
19 
20 
21 #include <stdio.h>
22 #include <stdlib.h>
23 
24 #include "gmp.h"
25 #include "gmp-impl.h"
26 #include "tests.h"
27 
28 void
refmpz_nextprime(mpz_ptr p,mpz_srcptr t)29 refmpz_nextprime (mpz_ptr p, mpz_srcptr t)
30 {
31   mpz_add_ui (p, t, 1L);
32   while (! mpz_probab_prime_p (p, 10))
33     mpz_add_ui (p, p, 1L);
34 }
35 
36 void
run(const char * start,int reps,const char * end,short diffs[])37 run (const char *start, int reps, const char *end, short diffs[])
38 {
39   mpz_t x, y;
40   int i;
41 
42   mpz_init_set_str (x, start, 0);
43   mpz_init (y);
44 
45   for (i = 0; i < reps; i++)
46     {
47       mpz_nextprime (y, x);
48       mpz_sub (x, y, x);
49       if (diffs != NULL && diffs[i] != mpz_get_ui (x))
50 	{
51 	  gmp_printf ("diff list discrepancy\n");
52 	  abort ();
53 	}
54       mpz_set (x, y);
55     }
56 
57   mpz_set_str (y, end, 0);
58 
59   if (mpz_cmp (x, y) != 0)
60     {
61       gmp_printf ("got  %Zx\n", x);
62       gmp_printf ("want %Zx\n", y);
63       abort ();
64     }
65 
66   mpz_clear (y);
67   mpz_clear (x);
68 }
69 
70 extern short diff1[];
71 extern short diff3[];
72 extern short diff4[];
73 extern short diff5[];
74 
75 int
main(int argc,char ** argv)76 main (int argc, char **argv)
77 {
78   int i;
79   int reps = 20;
80   gmp_randstate_ptr rands;
81   mpz_t bs, x, nxtp, ref_nxtp;
82   unsigned long size_range;
83 
84   tests_start();
85   rands = RANDS;
86 
87   run ("2", 1000, "0x1ef7", diff1);
88 
89   run ("3", 1000 - 1, "0x1ef7", NULL);
90 
91   run ("0x8a43866f5776ccd5b02186e90d28946aeb0ed914", 50,
92        "0x8a43866f5776ccd5b02186e90d28946aeb0eeec5", diff3);
93 
94   run ("0x10000000000000000000000000000000000000", 50,
95        "0x100000000000000000000000000000000010ab", diff4);
96 
97   run ("0x1c2c26be55317530311facb648ea06b359b969715db83292ab8cf898d8b1b", 50,
98        "0x1c2c26be55317530311facb648ea06b359b969715db83292ab8cf898da957", diff5);
99 
100   mpz_init (bs);
101   mpz_init (x);
102   mpz_init (nxtp);
103   mpz_init (ref_nxtp);
104 
105   if (argc == 2)
106      reps = atoi (argv[1]);
107 
108   for (i = 0; i < reps; i++)
109     {
110       mpz_urandomb (bs, rands, 32);
111       size_range = mpz_get_ui (bs) % 8 + 2; /* 0..1024 bit operands */
112 
113       mpz_urandomb (bs, rands, size_range);
114       mpz_rrandomb (x, rands, mpz_get_ui (bs));
115 
116 /*      gmp_printf ("%ld: %Zd\n", mpz_sizeinbase (x, 2), x); */
117 
118       mpz_nextprime (nxtp, x);
119       refmpz_nextprime (ref_nxtp, x);
120       if (mpz_cmp (nxtp, ref_nxtp) != 0)
121 	abort ();
122     }
123 
124   mpz_clear (bs);
125   mpz_clear (x);
126   mpz_clear (nxtp);
127   mpz_clear (ref_nxtp);
128 
129   tests_end ();
130   return 0;
131 }
132 
133 short diff1[] =
134 {
135   1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,
136   2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,
137   2,10,2,6,6,4,6,6,2,10,2,4,2,12,12,4,
138   2,4,6,2,10,6,6,6,2,6,4,2,10,14,4,2,
139   4,14,6,10,2,4,6,8,6,6,4,6,8,4,8,10,
140   2,10,2,6,4,6,8,4,2,4,12,8,4,8,4,6,
141   12,2,18,6,10,6,6,2,6,10,6,6,2,6,6,4,
142   2,12,10,2,4,6,6,2,12,4,6,8,10,8,10,8,
143   6,6,4,8,6,4,8,4,14,10,12,2,10,2,4,2,
144   10,14,4,2,4,14,4,2,4,20,4,8,10,8,4,6,
145   6,14,4,6,6,8,6,12,4,6,2,10,2,6,10,2,
146   10,2,6,18,4,2,4,6,6,8,6,6,22,2,10,8,
147   10,6,6,8,12,4,6,6,2,6,12,10,18,2,4,6,
148   2,6,4,2,4,12,2,6,34,6,6,8,18,10,14,4,
149   2,4,6,8,4,2,6,12,10,2,4,2,4,6,12,12,
150   8,12,6,4,6,8,4,8,4,14,4,6,2,4,6,2,
151   6,10,20,6,4,2,24,4,2,10,12,2,10,8,6,6,
152   6,18,6,4,2,12,10,12,8,16,14,6,4,2,4,2,
153   10,12,6,6,18,2,16,2,22,6,8,6,4,2,4,8,
154   6,10,2,10,14,10,6,12,2,4,2,10,12,2,16,2,
155   6,4,2,10,8,18,24,4,6,8,16,2,4,8,16,2,
156   4,8,6,6,4,12,2,22,6,2,6,4,6,14,6,4,
157   2,6,4,6,12,6,6,14,4,6,12,8,6,4,26,18,
158   10,8,4,6,2,6,22,12,2,16,8,4,12,14,10,2,
159   4,8,6,6,4,2,4,6,8,4,2,6,10,2,10,8,
160   4,14,10,12,2,6,4,2,16,14,4,6,8,6,4,18,
161   8,10,6,6,8,10,12,14,4,6,6,2,28,2,10,8,
162   4,14,4,8,12,6,12,4,6,20,10,2,16,26,4,2,
163   12,6,4,12,6,8,4,8,22,2,4,2,12,28,2,6,
164   6,6,4,6,2,12,4,12,2,10,2,16,2,16,6,20,
165   16,8,4,2,4,2,22,8,12,6,10,2,4,6,2,6,
166   10,2,12,10,2,10,14,6,4,6,8,6,6,16,12,2,
167   4,14,6,4,8,10,8,6,6,22,6,2,10,14,4,6,
168   18,2,10,14,4,2,10,14,4,8,18,4,6,2,4,6,
169   2,12,4,20,22,12,2,4,6,6,2,6,22,2,6,16,
170   6,12,2,6,12,16,2,4,6,14,4,2,18,24,10,6,
171   2,10,2,10,2,10,6,2,10,2,10,6,8,30,10,2,
172   10,8,6,10,18,6,12,12,2,18,6,4,6,6,18,2,
173   10,14,6,4,2,4,24,2,12,6,16,8,6,6,18,16,
174   2,4,6,2,6,6,10,6,12,12,18,2,6,4,18,8,
175   24,4,2,4,6,2,12,4,14,30,10,6,12,14,6,10,
176   12,2,4,6,8,6,10,2,4,14,6,6,4,6,2,10,
177   2,16,12,8,18,4,6,12,2,6,6,6,28,6,14,4,
178   8,10,8,12,18,4,2,4,24,12,6,2,16,6,6,14,
179   10,14,4,30,6,6,6,8,6,4,2,12,6,4,2,6,
180   22,6,2,4,18,2,4,12,2,6,4,26,6,6,4,8,
181   10,32,16,2,6,4,2,4,2,10,14,6,4,8,10,6,
182   20,4,2,6,30,4,8,10,6,6,8,6,12,4,6,2,
183   6,4,6,2,10,2,16,6,20,4,12,14,28,6,20,4,
184   18,8,6,4,6,14,6,6,10,2,10,12,8,10,2,10,
185   8,12,10,24,2,4,8,6,4,8,18,10,6,6,2,6,
186   10,12,2,10,6,6,6,8,6,10,6,2,6,6,6,10,
187   8,24,6,22,2,18,4,8,10,30,8,18,4,2,10,6,
188   2,6,4,18,8,12,18,16,6,2,12,6,10,2,10,2,
189   6,10,14,4,24,2,16,2,10,2,10,20,4,2,4,8,
190   16,6,6,2,12,16,8,4,6,30,2,10,2,6,4,6,
191   6,8,6,4,12,6,8,12,4,14,12,10,24,6,12,6,
192   2,22,8,18,10,6,14,4,2,6,10,8,6,4,6,30,
193   14,10,2,12,10,2,16,2,18,24,18,6,16,18,6,2,
194   18,4,6,2,10,8,10,6,6,8,4,6,2,10,2,12,
195   4,6,6,2,12,4,14,18,4,6,20,4,8,6,4,8,
196   4,14,6,4,14,12,4,2,30,4,24,6,6,12,12,14,
197   6,4,2,4,18,6,12,8
198 };
199 
200 short diff3[] =
201 {
202   33,32,136,116,24,22,104,114,76,278,238,162,36,44,388,134,
203   130,26,312,42,138,28,24,80,138,108,270,12,330,130,98,102,
204   162,34,36,170,90,34,14,6,24,66,154,218,70,132,188,88,
205   80,82
206 };
207 
208 short diff4[] =
209 {
210   91,92,64,6,104,24,46,258,68,18,54,100,68,154,26,4,
211   38,142,168,42,18,26,286,104,136,116,40,2,28,110,52,78,
212   104,24,54,96,4,626,196,24,56,36,52,102,48,156,26,18,
213   42,40
214 };
215 
216 short diff5[] =
217 {
218   268,120,320,184,396,2,94,108,20,318,274,14,64,122,220,108,
219   18,174,6,24,348,32,64,116,268,162,20,156,28,110,52,428,
220   196,14,262,30,194,120,300,66,268,12,428,370,212,198,192,130,
221   30,80
222 };
223