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Vendor alto
Package bezier
Short Description Precision PHP toolkit for evaluating, splitting, and measuring quadratic, cubic, quintic and N-order Bezier curves
License MIT
Homepage https://github.com/phpalto/bezier
Package bezier
Short Description Precision PHP toolkit for evaluating, splitting, and measuring quadratic, cubic, quintic and N-order Bezier curves
License MIT
Homepage https://github.com/phpalto/bezier
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Informations about the package bezier
Alto Bezier
Alto\Bezier is a precision PHP toolkit for evaluating, splitting, and measuring quadratic, cubic, quintic, and N-order Bézier curves using immutable value objects and a numerically stable De Casteljau core.
Features
- Quadratic, cubic, quartic, quintic, and arbitrary N-order curves that all share the same API
- Point evaluation:
pointAt(t)and constant-speedpointAtDistance(distance)helpers - Curve subdivision with
split(t)for tessellation or editing workflows - Differential geometry helpers: derivatives, tangents, normals
- Arc-length calculation and arc-length parameterization with configurable sampling
- Intersection detection between any two curves
- Bounding boxes and evenly spaced point generators for export to SVG, canvas, or WebGL
- Immutable, readonly classes with no external dependencies
Installation
Usage
Create and inspect a cubic curve
Instantiate quadratic and N-order curves
Exporting control points to SVG
Advanced
- Arc length & constant-speed motion:
length($samples)returns the numerical arc length, whilepointAtDistance($distance, $samples)maps real distances back to coordinates. - Intersections:
$curveA->intersections($curveB, tolerance: 0.25, maxDepth: 18)delivers intersection points along with theirtparameters on each curve. - Numeric tuning: increase sampling (default 100) for long or intricate paths to improve accuracy for arc-length and parameterization routines.
- Bounding boxes and grids:
boundingBox()exposes width/height/corners, andpoints($interval)streams evenly spaced points for tessellation or hit-testing.
Testing
License
This project is licensed under the MIT License.
All versions of bezier with dependencies
PHP Build Version
Package Version
Requires
php Version
>=8.3.0
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