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/*
* pollard - factor using Pollard's p-1 method
*
* Copyright (C) 1999 David I. Bell
*
* 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.
*
* Under source code control: 1991/05/22 21:56:37
* File existed as early as: 1991
*
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
define pfactor(N, B, ai, af)
{
local a, k, i, d;
if (isnull(B))
B = 1000;
if (isnull(ai))
ai = 2;
if (isnull(af))
af = ai + 20;
k = lcmfact(B);
d = lfactor(N, B);
if (d > 1)
return d;
for (a = ai; a <= af; a++) {
i = pmod(a, k, N);
d = gcd(i - 1, N);
if ((d > 1) && (d != N))
return d;
}
return 1;
}