Quadratic curves

A quadratic Bézier curve has a start point, one control point, and an end point. Use it for a simple arc controlled by one handle or when preserving an SVG Q segment.

Create a curve

QuadraticCurve accepts its three points in path order:

<?php

require __DIR__.'/vendor/autoload.php';

use Alto\Bezier\Point;
use Alto\Bezier\QuadraticCurve;

$curve = new QuadraticCurve(
    new Point(10, 170),
    new Point(140, 20),
    new Point(230, 170),
);

echo $curve->pointAt(0.5).PHP_EOL;

The midpoint is:

(130, 95)

The public properties p0, p1, and p2 retain the original points. They map directly to M 10 170 Q 140 20 230 170 in an SVG path.

The shared operations cover splitting, length, orientation, and intersections.