Math::...ePoint(3pm)

💖 Math::Prime::Util::ECAffinePoint — bestie's guide to affine elliptic curve points 💖

okay so like, this page lives in the User Contributed Perl Documentation section of the manual (3pm, iykyk), and it's all about Math::Prime::Util::ECAffinePoint — elliptic curve operations for affine points. yes bestie, actual math, actual curves, we're doing this 🦋

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✨ NAME ✨

Math::Prime::Util::ECAffinePoint — elliptic curve operations for affine points. that's the whole vibe. it's a point. it's affine. it does math. periodt 💅

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🌸 VERSION 🌸

Version 0.74 — that's the one we're working with, no cap.

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🎀 SYNOPSIS 🎀

here's the little glow-up demo, copy it exactly or don't come crying to me:

# 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();

like. look at her go. making points, multiplying them by scalars, adding points together, checking if she's the point at infinity. main character energy fr fr 👑

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🫶 DESCRIPTION 🫶

ngl, this module really should just be in Math::EllipticCurve. that's not me being shady, that's literally what the docs say, and honestly? valid.

and then… To write.

yeah. the description is a work in progress, bestie. she said "to write" and left. iconic, honestly. sometimes you just gotta note it down and move on 💀

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🔥 FUNCTIONS 🔥

🧚 new

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

gives you a shiny new point sitting at (x,y,1) on the curve (a,b,n). that's it. that's the constructor. cute, right? ✨

🍓 a

🍓 b

🍓 n

these hand you back the a, b, or n values that describe the curve. three little accessors, all living their best life, all telling you what curve you're standing on 💜

🌈 x

🌈 y

and these give you the x or y values that define the point on the curve. the coordinates. the location. the whole "where am I on this curve" situation.

💫 f

returns a possible factor found during EC multiplication. it's a possible factor — that's the word the docs use, so that's the word I'm using, don't @ me.

💖 add

takes another point on the same curve as an argument and adds it to this point. two points enter, one point leaves. math is wild fr.

🦋 mul

takes an integer and performs scalar multiplication of the point. you give it a number, it does the thing, slay.

👑 is_infinity

returns true if the point is (0,1) — which is, quote unquote, the point at infinity for the affine coordinates. so if you're looking at (0,1)? bestie, you're at infinity. no cap. 💀✨

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🌟 SEE ALSO 🌟

• Math::EllipticCurve::Prime

and once again, for the people in the back: this really should just be in a Math::EllipticCurve module. 🎀

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💜 AUTHORS 💜

Dana Jacobsen <dana@acm.org> — thank you for your service, queen 🫶

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⭐ 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.

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okay bestie, go forth and multiply some points 💅

and that's a wrap, cuties — perl v5.42.3, generated 2026-08-20, courtesy of the User Contributed Perl Documentation, and honestly? she ate 🌸💖✨