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invmod.pod (909B)


      1 # This Source Code Form is subject to the terms of the Mozilla Public
      2 # License, v. 2.0. If a copy of the MPL was not distributed with this
      3 # file, You can obtain one at http://mozilla.org/MPL/2.0/.
      4 
      5 =head1 NAME
      6 
      7  invmod - compute modular inverse of an integer
      8 
      9 =head1 SYNOPSIS
     10 
     11  invmod <a> <m>
     12 
     13 =head1 DESCRIPTION
     14 
     15 The B<invmod> program computes the inverse of I<a>, modulo I<m>, if
     16 that inverse exists.  Both I<a> and I<m> are arbitrary-precision
     17 integers in decimal notation.  The result is written in standard
     18 decimal notation to the standard output.
     19 
     20 If there is no inverse, the message:
     21 
     22  No inverse
     23 
     24 ...will be printed to the standard output (an inverse exists if and
     25 only if the greatest common divisor of I<a> and I<m> is 1).
     26 
     27 =head1 SEE ALSO
     28 
     29 gcd(1), isprime(1), lap(1)
     30 
     31 =head1 AUTHOR
     32 
     33  Michael J. Fromberger <sting@linguist.dartmouth.edu>
     34  Thayer School of Engineering, Hanover, New Hampshire, USA