Release calc version 2.10.2t30

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Landon Curt Noll
1996-07-06 04:17:00 -07:00
commit 4618313a82
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NAME
minv - inverse of an integer modulo a specified integer
SYNOPSIS
minv(x, md)
TYPES
x integer
md integer
return integer
DESCRIPTION
If x and md are not relatively prime, zero is returned.
Otherwise v = minv(x, md) is the canonical residue v modulo md
for which v * x is congruent to 1 modulo md. The canonical
residues modulo md are determined as follows by md and bits 0, 2
and 4 of config("mod") (other bits are ignored).
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 minv(3,10), minv(-3,10), minv(3,-10), minv(-3,-10), minv(4,10)
7 3 -3 -7 0
> c = config("mod",16)
> print minv(3,10), minv(-3,10), minv(3,-10), minv(-3,-10), minv(4,10)
-3 3 -3 3 0
LIMITS
none
LIBRARY
NUMBER *qminv(NUMBER *x, NUMBER *md)
SEE ALSO
mod, pmod