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	Include vendor dependencies
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								vendor/github.com/fogleman/gg/bezier.go
									
									
									
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							| @@ -0,0 +1,59 @@ | ||||
| package gg | ||||
|  | ||||
| import "math" | ||||
|  | ||||
| func quadratic(x0, y0, x1, y1, x2, y2, t float64) (x, y float64) { | ||||
| 	u := 1 - t | ||||
| 	a := u * u | ||||
| 	b := 2 * u * t | ||||
| 	c := t * t | ||||
| 	x = a*x0 + b*x1 + c*x2 | ||||
| 	y = a*y0 + b*y1 + c*y2 | ||||
| 	return | ||||
| } | ||||
|  | ||||
| func QuadraticBezier(x0, y0, x1, y1, x2, y2 float64) []Point { | ||||
| 	l := (math.Hypot(x1-x0, y1-y0) + | ||||
| 		math.Hypot(x2-x1, y2-y1)) | ||||
| 	n := int(l + 0.5) | ||||
| 	if n < 4 { | ||||
| 		n = 4 | ||||
| 	} | ||||
| 	d := float64(n) - 1 | ||||
| 	result := make([]Point, n) | ||||
| 	for i := 0; i < n; i++ { | ||||
| 		t := float64(i) / d | ||||
| 		x, y := quadratic(x0, y0, x1, y1, x2, y2, t) | ||||
| 		result[i] = Point{x, y} | ||||
| 	} | ||||
| 	return result | ||||
| } | ||||
|  | ||||
| func cubic(x0, y0, x1, y1, x2, y2, x3, y3, t float64) (x, y float64) { | ||||
| 	u := 1 - t | ||||
| 	a := u * u * u | ||||
| 	b := 3 * u * u * t | ||||
| 	c := 3 * u * t * t | ||||
| 	d := t * t * t | ||||
| 	x = a*x0 + b*x1 + c*x2 + d*x3 | ||||
| 	y = a*y0 + b*y1 + c*y2 + d*y3 | ||||
| 	return | ||||
| } | ||||
|  | ||||
| func CubicBezier(x0, y0, x1, y1, x2, y2, x3, y3 float64) []Point { | ||||
| 	l := (math.Hypot(x1-x0, y1-y0) + | ||||
| 		math.Hypot(x2-x1, y2-y1) + | ||||
| 		math.Hypot(x3-x2, y3-y2)) | ||||
| 	n := int(l + 0.5) | ||||
| 	if n < 4 { | ||||
| 		n = 4 | ||||
| 	} | ||||
| 	d := float64(n) - 1 | ||||
| 	result := make([]Point, n) | ||||
| 	for i := 0; i < n; i++ { | ||||
| 		t := float64(i) / d | ||||
| 		x, y := cubic(x0, y0, x1, y1, x2, y2, x3, y3, t) | ||||
| 		result[i] = Point{x, y} | ||||
| 	} | ||||
| 	return result | ||||
| } | ||||
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