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quadratic bezier curve length in javascript
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/* | |
* http://en.wikipedia.org/wiki/B%C3%A9zier_curve | |
* http://www.malczak.linuxpl.com/blog/quadratic-bezier-curve-length/g | |
*/ | |
function Point(x, y) { | |
this.x = x; | |
this.y = y; | |
} | |
function quadraticBezierLength(p0, p1, p2) { | |
var a = new Point( | |
p0.x - 2 * p1.x + p2.x, | |
p0.y - 2 * p1.y + p2.y | |
); | |
var b = new Point( | |
2 * p1.x - 2 * p0.x, | |
2 * p1.y - 2 * p0.y | |
); | |
var A = 4 * (a.x * a.x + a.y * a.y); | |
var B = 4 * (a.x * b.x + a.y * b.y); | |
var C = b.x * b.x + b.y * b.y; | |
var Sabc = 2 * sqrt(A+B+C); | |
var A_2 = sqrt(A); | |
var A_32 = 2 * A * A_2; | |
var C_2 = 2 * sqrt(C); | |
var BA = B / A_2; | |
return (A_32 * Sabc + A_2 * B * (Sabc - C_2) + (4 * C * A - B * B) * log((2 * A_2 + BA + Sabc) / (BA + C_2))) / (4 * A_32); | |
} |
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