Quintic curves

A quintic Bézier curve has six control points and degree five. Use it when the source data contains a degree-five curve that must remain exact rather than be reduced to lower-degree segments.

Create a curve

<?php

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

use Alto\Bezier\Point;
use Alto\Bezier\QuinticCurve;

$curve = new QuinticCurve(
    new Point(10, 165),
    new Point(50, 40),
    new Point(90, 10),
    new Point(150, 190),
    new Point(200, 20),
    new Point(230, 160),
);

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

The midpoint is:

(121.5625, 82.03125)

The public properties p0 through p5 retain the original points. SVG has no native quintic path command, so use sampling or a conversion suited to the target renderer.

The shared operations apply without quintic-specific methods.