MathUtils

Math utility methods used in SVG import.

Summary

MathUtils	Math utility methods used in SVG import.
Functions
ratioTo	Tim Groleau’s Math method ratioTo.
intersect2Lines	Robert Penner’s Math intersect2Lines.
midLine	Robert Penner’s Math method midLine.
bezierSplit	Robert Penner’s Math method bezierSplit.

Functions

ratioTo

public static function ratioTo( p1: Point,
p2: Point,
ratio: Number ):Point

Tim Groleau’s Math method ratioTo.

Return the point on segment [p1,p2] which is ratio times the total distance between p1 and p2 away from p1.

Parameters

p1	first Point
p2	second Point
ratio	a real number

intersect2Lines

public static function intersect2Lines( p1: Point,
p2: Point,
p3: Point,
p4: Point ):Point

Robert Penner’s Math intersect2Lines.

Returns the point of intersection between two lines.

Parameters

p1, p2	two points on first line
p3, p4	two points on second line

Returns

Point of intersection

midLine

public static function midLine(
a: Point,
b: Point
):Point // Math.midLine = function (a, b)

Robert Penner’s Math method midLine.

Returns the midpoint of a line segment.

Parameters

a, b	endpoints of line segment (each with .x and .y properties)

bezierSplit

public static function bezierSplit(
    p0: Point,
    p1: Point,
    p2: Point,
    p3: Point
):Object // Math.bezierSplit = function (p0, p1, p2, p3)

Robert Penner’s Math method bezierSplit.

Divides a cubic bezier curve into two halves (each also cubic beziers).

Parameters

p0	first anchor (Point object)
p1	first control (Point object)
p2	second control (Point object)
p3	second anchor (Point object)

Returns

An object with b0 - 1st cubic bezier (with properties a,b,c,d corresp to p0,p1,p2,p3) b1 - 2nd cubic bezier (same)