1 |
//$Header: /cvsroot/esrg/sfesrg/esrgnxpj/sfnthcgi0304/subfunc_gmp_prob_prime.c,v 1.4 2003/07/01 03:46:58 dtashley Exp $
|
2 |
//
|
3 |
//********************************************************************************
|
4 |
//Copyright (C) 2003 David T. Ashley
|
5 |
//********************************************************************************
|
6 |
//This program or source file is free software; you can redistribute it and/or
|
7 |
//modify it under the terms of the GNU General Public License as published by
|
8 |
//the Free Software Foundation; either version 2 of the License, or (at your
|
9 |
//option) any later version.
|
10 |
//
|
11 |
//This program or source file is distributed in the hope that it will
|
12 |
//be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
|
13 |
//MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
14 |
//GNU General Public License for more details.
|
15 |
//
|
16 |
//You may have received a copy of the GNU General Public License
|
17 |
//along with this program; if not, write to the Free Software
|
18 |
//Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
|
19 |
//********************************************************************************
|
20 |
//
|
21 |
//This module uses the GMP libary function:
|
22 |
//
|
23 |
// mpz_probab_prime_p()
|
24 |
//
|
25 |
//To make a probabilistic assessment of whether an integer is most likely
|
26 |
//prime, definitely composite, etc. This module is just a direct interface
|
27 |
//to the GMP function cited above.
|
28 |
//
|
29 |
//INPUT PARAMETERS
|
30 |
//----------------
|
31 |
//The subfunction accepts two parameters, the integers whose primality is to be
|
32 |
//assessed, and the number of reps (passed directly to the GMP function).
|
33 |
//Naturally, the integers should be positive. Invalid integers are assigned
|
34 |
//defaults. It is the responsibility of the calling script to do whatever
|
35 |
//sanity checking is desired.
|
36 |
//
|
37 |
//OUTPUT RESULTS
|
38 |
//--------------
|
39 |
//The notation below gives the outputs of the program. In some cases, [i] notation
|
40 |
//is used to indicate line numbers.
|
41 |
//
|
42 |
//[01] An overall success or failure code for the operation. Valid responses
|
43 |
// are:
|
44 |
// S : Success (for this subfunction, the only possible outcome).
|
45 |
//
|
46 |
//[02] The fully normalized first integer entered. This means it has been
|
47 |
// stripped of all weird characters, etc., and also perhaps assigned
|
48 |
// a default value if the original parameter wasn't acceptable.
|
49 |
// This can be used by the PHP script to repopulate form boxes.
|
50 |
//[03] The fully normalized second integer entered.
|
51 |
//[04] The output from the GMP function. Semantics are:
|
52 |
// 2 -- definitely prime.
|
53 |
// 1 -- probably prime.
|
54 |
// 0 -- definitely composite.
|
55 |
//[05] "S", indicating success.
|
56 |
//
|
57 |
//Note that this subfunction will always return exactly five lines,
|
58 |
//and the first and last line will be "S".
|
59 |
//
|
60 |
//The return value (exit code) from this subfunction is always 0.
|
61 |
//
|
62 |
|
63 |
#define MODULE_SUBFUNC_GMP_PROB_PRIME
|
64 |
|
65 |
#include <assert.h>
|
66 |
#include <ctype.h>
|
67 |
#include <stddef.h>
|
68 |
#include <stdio.h>
|
69 |
#include <stdlib.h>
|
70 |
#include <string.h>
|
71 |
#include <time.h>
|
72 |
|
73 |
#include <gmp.h>
|
74 |
|
75 |
#include "auxfuncs.h"
|
76 |
#include "subfunc_gmp_prob_prime.h"
|
77 |
|
78 |
|
79 |
int SUBFUNC_GMP_PROB_PRIME_main(int argc, char *argv[])
|
80 |
{
|
81 |
//Normalized first and second parameters (the integers).
|
82 |
char *arg1;
|
83 |
char *arg2;
|
84 |
|
85 |
//GMP types to maintain the algorithm.
|
86 |
int nreps_native;
|
87 |
mpz_t number_to_test, nreps_mpz;
|
88 |
|
89 |
//Result from the GMP.
|
90 |
int gmp_result;
|
91 |
|
92 |
//There must be an acceptable number of command-line arguments. If not,
|
93 |
//abort the progam with phony data.
|
94 |
if (argc != 4)
|
95 |
{
|
96 |
printf("S\n2\n5\n2\nS\n");
|
97 |
return(0);
|
98 |
}
|
99 |
|
100 |
//Copy the command-line arguments to a safe place where we can manipulate them.
|
101 |
//Leave 2 characters of space in case we assign a "0".
|
102 |
arg1 = (char *)malloc((AUXFUNCS_size_t_max(1, strlen(argv[2])) + 1) * sizeof(char));
|
103 |
arg2 = (char *)malloc((AUXFUNCS_size_t_max(1, strlen(argv[3])) + 1) * sizeof(char));
|
104 |
if ((arg1 == NULL) || (arg2 == NULL))
|
105 |
{
|
106 |
printf("S\n2\n5\n2\nS\n");
|
107 |
return(0);
|
108 |
}
|
109 |
strcpy(arg1, argv[2]);
|
110 |
strcpy(arg2, argv[3]);
|
111 |
|
112 |
//Strip all of the non-digit trash out of the arguments.
|
113 |
AUXFUNCS_remove_non_digits(arg1);
|
114 |
AUXFUNCS_remove_non_digits(arg2);
|
115 |
|
116 |
//Remove all leading zeros from both arguments.
|
117 |
AUXFUNCS_remove_leading_zeros(arg1);
|
118 |
AUXFUNCS_remove_leading_zeros(arg2);
|
119 |
|
120 |
//If either argument is zero length, fill it in with 0.
|
121 |
if (!strlen(arg1))
|
122 |
strcpy(arg1, "0");
|
123 |
if (!strlen(arg2))
|
124 |
strcpy(arg2, "0");
|
125 |
|
126 |
//We are not allowed to have 0's in this function, so
|
127 |
//abort on zeros. Also, we can't have 1 for a number to check,
|
128 |
//as 1 is neither prime nor composite.
|
129 |
if ((!strcmp(arg1, "0")) || (!strcmp(arg2, "0")) || (!strcmp(arg1, "1")))
|
130 |
{
|
131 |
printf("S\n2\n5\n2\nS\n");
|
132 |
return(0);
|
133 |
}
|
134 |
|
135 |
//If either argument exceeds 10000 digits, abort.
|
136 |
if ((strlen(arg1)>10000) || (strlen(arg2) > 10000))
|
137 |
{
|
138 |
printf("S\n2\n5\n2\nS\n");
|
139 |
return(0);
|
140 |
}
|
141 |
|
142 |
//Initialize all of the GMP variables.
|
143 |
mpz_init(number_to_test);
|
144 |
mpz_init(nreps_mpz);
|
145 |
|
146 |
//Assign a and b to initial values.
|
147 |
mpz_set_str(number_to_test, arg1, 10);
|
148 |
mpz_set_str(nreps_mpz, arg2, 10);
|
149 |
|
150 |
//We don't want to allow any more than 5000 repetitions for that
|
151 |
//parameter. So, if it is larger than 5000, whack it down.
|
152 |
if (mpz_cmp_d(nreps_mpz, (double)5000) > 0)
|
153 |
mpz_set_str(nreps_mpz, "5000", 10);
|
154 |
|
155 |
//Extract the arbitrary length value of the number of reps into
|
156 |
//a normal integer.
|
157 |
nreps_native = mpz_get_si(nreps_mpz);
|
158 |
|
159 |
//Run the GMP library function to guess at primality and get the result
|
160 |
//back.
|
161 |
gmp_result = mpz_probab_prime_p(number_to_test, nreps_native);
|
162 |
|
163 |
//Now, write the output block.
|
164 |
printf("S\n");
|
165 |
mpz_out_str(stdout, 10, number_to_test);
|
166 |
printf("\n");
|
167 |
mpz_out_str(stdout, 10, nreps_mpz);
|
168 |
printf("\n");
|
169 |
printf("%d\n", gmp_result);
|
170 |
printf("S\n");
|
171 |
|
172 |
//Always return 0.
|
173 |
return(0);
|
174 |
}
|
175 |
|
176 |
//********************************************************************************
|
177 |
// $Log: subfunc_gmp_prob_prime.c,v $
|
178 |
// Revision 1.4 2003/07/01 03:46:58 dtashley
|
179 |
// Edits towards working continued fraction best rational approximation
|
180 |
// functionality.
|
181 |
//
|
182 |
// Revision 1.3 2003/04/17 20:02:05 dtashley
|
183 |
// License text for the GPL added. All source files are now under the GPL,
|
184 |
// after some discussion on the GMP list.
|
185 |
//
|
186 |
// Revision 1.2 2003/04/14 23:27:01 dtashley
|
187 |
// Subfunction GMP_PROB_PRIME finished.
|
188 |
//
|
189 |
// Revision 1.1 2003/04/14 22:35:23 dtashley
|
190 |
// Initial checkin.
|
191 |
//********************************************************************************
|
192 |
// End of SUBFUNC_GMP_PROB_PRIME.C.
|
193 |
//********************************************************************************
|