js-2dmath/docs/beizer.markdown

Fast 2d geometry math: Vector2, Rectangle, Circle, Matrix2x3 (2D transformation), Circle, BoundingBox, Line2, Segment2, Intersections, Distances, Transitions (animation/tween), Random numbers, Noise

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## Beizer
  Stability: 1 (Only additions & fixes)

  **reference**: [http://pomax.github.io/bezierinfo/](http://pomax.github.io/bezierinfo/)

  **reference**: [https://github.com/jackcviers/Degrafa/blob/master/Degrafa/com/degrafa/geometry/utilities/BezierUtils.as](https://github.com/jackcviers/Degrafa/blob/master/Degrafa/com/degrafa/geometry/utilities/BezierUtils.as)

  **reference**: [http://cagd.cs.byu.edu/~557/text/ch7.pdf](http://cagd.cs.byu.edu/~557/text/ch7.pdf)

  **reference**: [http://algorithmist.wordpress.com/2009/02/02/degrafa-closest-point-on-quad-bezier/](http://algorithmist.wordpress.com/2009/02/02/degrafa-closest-point-on-quad-bezier/)

  **reference**: [http://algorithmist.wordpress.com/2009/01/26/degrafa-bezierutils-class/](http://algorithmist.wordpress.com/2009/01/26/degrafa-bezierutils-class/)

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* **cubic** (*cp0x*: Number, *cp0y*: Number, *cp1x*: Number, *cp1y*: Number, *cp2x*: Number, *cp2y*: Number, *cp3x*: Number, *cp3y*: Number): Beizer

  cp0 - start point

  cp1 - start control point

  cp2 - end control point

  cp3 - end point


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* **from3Points** (*cp0x*: Number, *cp0y*: Number, *cp1x*: Number, *cp1y*: Number, *cp2x*: Number, *cp2y*: Number): Beizer

  For implementation see Figure 21.2

  **reference**: [http://pomax.github.io/bezierinfo/](http://pomax.github.io/bezierinfo/)

  *todo*: DO IT!


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* **quadric** (*cp0x*: Number, *cp0y*: Number, *cp1x*: Number, *cp1y*: Number, *cp2x*: Number, *cp2y*: Number): Beizer

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* **quadricFrom3Points** (*cp0x*: Number, *cp0y*: Number, *cp1x*: Number, *cp1y*: Number, *cp2x*: Number, *cp2y*: Number)

  For implementation see Figure 21.1

  **reference**: [http://pomax.github.io/bezierinfo/](http://pomax.github.io/bezierinfo/)


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* **solve** (*out_vec2*: Vec2, *curve*: Beizer, *t*: Number): Vec2

  Solves the curve (quadric or cubic) for any given parameter t.

  **source**: [https://github.com/hyperandroid/CAAT/blob/master/src/Math/Bezier.js](https://github.com/hyperandroid/CAAT/blob/master/src/Math/Bezier.js)


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* **getPoints** (*curve*: Beizer, *npoints*: Number): Vec2[]

  Solve the curve npoints times and return the solution array.

  **see**: [Polygon.fromBeizer](#Beizer-Polygon.fromBeizer)


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* **length** (*curve*: Beizer, *step*: Number): Number

  Calculate the curve length by incrementally solving the curve every substep=CAAT.Curve.k. This value defaults

  to .05 so at least 20 iterations will be performed.

  *todo*: some kind of cache maybe it's needed!