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NAME
pmod - integral power of an integer modulo a specified integer
SYNOPSIS
pmod(x, n, md)
TYPES
x integer
n nonnegative integer
md integer
return integer
DESCRIPTION
pmod(x, n, md) returns the integer value of the canonical residue
of x^n modulo md, where the set of canonical residues is determined
by md and bits 0, 2, and 4 of config("mod") (other bits are ignored).
If md is zero, the value is simply x^n.
For nonzero md, the canonical residues v modulo md are as follows:
config("mod") md > 0 md < 0
0 0 < v < md md < v < 0
1 -md < v < 0 0 < v < -md
4 0 < v < md 0 < v < -md
5 -md < v < 0 md < v < 0
16 -md/2 < v <= md/2 md/2 <= v < -md/2
17 -md/2 <= v < md/2 md/2 < v <= -md/2
20 -md/2 < v <= md/2 md/2 < v <= -md/2
21 -md/2 <= v < md/2 md/2 <= v < -md/2
EXAMPLE
; c = config("mod",0)
; print pmod(2,3,10), pmod(2,5,10), pmod(2,3,-10), pod(2,5,-10)
8 2 -2 -8
; c = config("mod",16)
; print pmod(2,3,10), pmod(2,5,10), pmod(2,3,-10), pmod(2,5,-10)
-2 2 -2 2
LIMITS
none
LINK LIBRARY
NUMBER *qpowermod(NUMBER *x, NUMBER *n, NUMBER *md)
SEE ALSO
mod, minv
## Copyright (C) 1999 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.
##
## Under source code control: 1995/11/09 03:27:51
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/