Math::Prime::Util::ECProjectivePoint(3p)

NAME
Math::Prime::Util::ECProjectivePoint - Elliptic curve operations for projective points

VERSION
Version 0.74

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

DESCRIPTION
This really should just be in Math::EllipticCurve.

To write.

FUNCTIONS

  new
  $point = Math::Prime::Util::ECProjectivePoint->new(c, n, x, z);

Returns a new point on the curve defined by the Montgomery parameter c.

  c

  n
Returns the "c", "d", or "n" values that describe the curve.

  d
Returns the precalculated value of "int( (c + 2) / 4 )".

  x

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

  f
Returns a possible factor found after "normalize".

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

  double
Double the current point on the curve.

  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.

  copy
Returns a copy of the point.

  normalize
Performs an extended GCD operation to make "z=1". If a factor of "n" is found it is put in "f".

SEE ALSO
Math::EllipticCurve::Prime

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

AUTHORS
Dana Jacobsen <dana@acm.org>

COPYRIGHT
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.