/usr/share/calc/custom/pmodm127.cal is in apcalc-common 2.12.4.4-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 | /*
* pmodm127 - test pmodm127's ability to calculate q mod 2^(2^127-1)
*
* Copyright (C) 2004 Landon Curt Noll
*
* Calc is open software; you can redistribute it and/or modify it under
* the terms of the version 2.1 of the GNU Lesser General Public License
* as published by the Free Software Foundation.
*
* Calc is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
* Public License for more details.
*
* A copy of version 2.1 of the GNU Lesser General Public License is
* distributed with calc under the filename COPYING-LGPL. You should have
* received a copy with calc; if not, write to Free Software Foundation, Inc.
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* @(#) $Revision: 30.1 $
* @(#) $Id: pmodm127.cal,v 30.1 2007/03/16 11:10:04 chongo Exp $
* @(#) $Source: /usr/local/src/cmd/calc/custom/RCS/pmodm127.cal,v $
*
* Under source code control: 2004/02/25 14:25:32
* File existed as early as: 2004
*
* chongo <was here> /\oo/\ http://www.isthe.com/chongo/
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
/*
* This file is part of the custom sample calc files.
*
* NOTE: You must use a calc that was compiled with ALLOW_CUSTOM= -DCUSTOM
* and run with a -C arg.
*/
if (config("compile_custom") == 0) {
quit "calc compiled without -DCUSTOM";
} else if (config("allow_custom") == 0) {
quit "calc was run without the -D command line option";
}
define pmodm127_test1(testcnt)
{
local q; /* test factor */
local m127; /* 2^127-1 */
local i;
/*
* firewall
*/
if (!isint(testcnt) || testcnt <= 0) {
return newerror("pmodm127_test1 must have an integer count>0");
}
/*
* perform testcnt divisor tests for primes of form 2*k*(2^127-1)+1
*
* NOTE: Since this is just a test, we do not need to be optimal.
*/
m127 = 2^127 - 1;
q = 2*4949132165849*m127+1;
for (i=0; i < testcnt; ++i) {
/*
* determine next prime divisor
*/
q = nextcand(q, -1, 0, 1, 2*m127);
/* compare custom function with its pmod() equivalent */
if (config("resource_debug") & 8) {
print "testing", q;
}
if (pmod(2, m127, q) != custom("pmodm127", q)) {
print "ERROR: pmodm127 failed for ", str(q);
return newerror("pmodm127 failed for " + str(q));
}
}
/* return success count */
if (config("resource_debug") & 8) {
print "passed", testcnt, "tests";
}
return testcnt;
}
define pmodm127_test2(testcnt, seed)
{
local q; /* test factor */
local m127; /* 2^127-1 */
local i;
/*
* firewall
*/
if (!isint(testcnt) || testcnt <= 0) {
return newerror("pmodm127_test2 must have an integer count>0");
}
if (!isint(seed)) {
return newerror("pmodm127_test2 must an integer seed");
}
/*
* perform testcnt divisor tests random integers over [1e51, 1e52)
*
* NOTE: Since this is just a test, we do not need to be optimal.
*/
m127 = 2^127 - 1;
for (i=0; i < testcnt; ++i) {
/*
* determine next prime divisor
*/
q = rand(1e51, 1e52) | 0x1;
if (config("resource_debug") & 8) {
print "testing", q;
}
/* compare custom function with its pmod() equivalent */
if (pmod(2, m127, q) != custom("pmodm127", q)) {
print "ERROR: pmodm127 failed for ", str(q);
print "ERROR: ", pmod(2,m127,q), " != ", custom("pmodm127", q);
return newerror("pmodm127 failed for " + str(q));
}
}
/* return success count */
if (config("resource_debug") & 8) {
print "passed", testcnt, "tests";
}
return testcnt;
}
if ((config("resource_debug") & 3) && !(config("resource_debug") & 8)) {
print "DEBUG: use config('resource_debug',", config("resource_debug")|8:") to enable more debugging";
}
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