Math::Prime::Util::ECAffinePoint - Elliptic curve operations for affine points

       Dana Jacobsen <dana@acm.org>

       Copyright 2012-2013 by Dana Jacobsen <dana@acm.org>

       This program is free software; you can redistribute it and/or modify it under the same terms as Perl
       itself.

perl v5.40.0                                       2024-10-20              Math::Prime::Util::ECAffinePoint(3pm)

       This really should just be in Math::EllipticCurve.

       To write.

new
         $point = Math::Prime::Util::ECAffinePoint->new(a, b, n, x, y);

       Returns a new point at "(x,y,1)" on the curve "(a,b,n)".

   abn
       Returns the "a", "b", or "n" values that describe the curve.

   xy
       Returns the "x" or "y" values that define the point on the curve.

   f
       Returns a possible factor found during EC multiplication.

   add
       Takes another point on the same curve as an argument and adds it this point.

   mul
       Takes an integer and performs scalar multiplication of the point.

   is_infinity
       Returns true if the point is (0,1), which is the point at infinity for the affine coordinates.

       Math::Prime::Util::ECAffinePoint - Elliptic curve operations for affine points

       Math::EllipticCurve::Prime

       This really should just be in a Math::EllipticCurve module.

         # Create a point on a curve (a,b,n) with coordinates 0,1
         my $ECP = Math::Prime::Util::ECAffinePoint->new($a, $b, $n, 0, 1);

         # scalar multiplication by k.
         $ECP->mul($k);

         # add two points on the same curve
         $ECP->add($ECP2);

         say "P = O" if $ECP->is_infinity();

       Version 0.73