github.com/laof/lite-speed-test@v0.0.0-20230930011949-1f39b7037845/web/render/bezier.go (about)

     1  package render
     2  
     3  import "math"
     4  
     5  func quadratic(x0, y0, x1, y1, x2, y2, t float64) (x, y float64) {
     6  	u := 1 - t
     7  	a := u * u
     8  	b := 2 * u * t
     9  	c := t * t
    10  	x = a*x0 + b*x1 + c*x2
    11  	y = a*y0 + b*y1 + c*y2
    12  	return
    13  }
    14  
    15  func QuadraticBezier(x0, y0, x1, y1, x2, y2 float64) []Point {
    16  	l := (math.Hypot(x1-x0, y1-y0) +
    17  		math.Hypot(x2-x1, y2-y1))
    18  	n := int(l + 0.5)
    19  	if n < 4 {
    20  		n = 4
    21  	}
    22  	d := float64(n) - 1
    23  	result := make([]Point, n)
    24  	for i := 0; i < n; i++ {
    25  		t := float64(i) / d
    26  		x, y := quadratic(x0, y0, x1, y1, x2, y2, t)
    27  		result[i] = Point{x, y}
    28  	}
    29  	return result
    30  }
    31  
    32  func cubic(x0, y0, x1, y1, x2, y2, x3, y3, t float64) (x, y float64) {
    33  	u := 1 - t
    34  	a := u * u * u
    35  	b := 3 * u * u * t
    36  	c := 3 * u * t * t
    37  	d := t * t * t
    38  	x = a*x0 + b*x1 + c*x2 + d*x3
    39  	y = a*y0 + b*y1 + c*y2 + d*y3
    40  	return
    41  }
    42  
    43  func CubicBezier(x0, y0, x1, y1, x2, y2, x3, y3 float64) []Point {
    44  	l := (math.Hypot(x1-x0, y1-y0) +
    45  		math.Hypot(x2-x1, y2-y1) +
    46  		math.Hypot(x3-x2, y3-y2))
    47  	n := int(l + 0.5)
    48  	if n < 4 {
    49  		n = 4
    50  	}
    51  	d := float64(n) - 1
    52  	result := make([]Point, n)
    53  	for i := 0; i < n; i++ {
    54  		t := float64(i) / d
    55  		x, y := cubic(x0, y0, x1, y1, x2, y2, x3, y3, t)
    56  		result[i] = Point{x, y}
    57  	}
    58  	return result
    59  }