-
Notifications
You must be signed in to change notification settings - Fork 7
/
Copy pathangleBetweenDeg.go
85 lines (72 loc) · 3.55 KB
/
angleBetweenDeg.go
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
package govec
import (
"math"
)
// For V2F
// AngleBetweenDeg returns the angle between the two vectors in degrees.
func (v V2F[T]) AngleBetweenDeg(v2 V2F[T]) float64 {
dotProduct := v.X*v2.X + v.Y*v2.Y
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y))
magnitudeV2 := math.Sqrt(float64(v2.X*v2.X + v2.Y*v2.Y))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// AngleBetweenDegComp returns the angle between the specified vector and the vector V2F[T]{X: x, Y: y} in degrees.
func (v V2F[T]) AngleBetweenDegComp(x T, y T) float64 {
dotProduct := v.X*x + v.Y*y
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y))
magnitudeV2 := math.Sqrt(float64(x*x + y*y))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// For V3F
// AngleBetweenDeg returns the angle between the two vectors in degrees.
func (v V3F[T]) AngleBetweenDeg(v2 V3F[T]) float64 {
dotProduct := v.X*v2.X + v.Y*v2.Y + v.Z*v2.Z
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y + v.Z*v.Z))
magnitudeV2 := math.Sqrt(float64(v2.X*v2.X + v2.Y*v2.Y + v2.Z*v2.Z))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// AngleBetweenDegComp returns the angle between the specified vector and the vector V3F[T]{X: x, Y: y, Z: z} in degrees.
func (v V3F[T]) AngleBetweenDegComp(x T, y T, z T) float64 {
dotProduct := v.X*x + v.Y*y + v.Z*z
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y + v.Z*v.Z))
magnitudeV2 := math.Sqrt(float64(x*x + y*y + z*z))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// For V2I
// AngleBetweenDeg returns the angle between the two vectors in degrees.
func (v V2I[T]) AngleBetweenDeg(v2 V2I[T]) float64 {
dotProduct := v.X*v2.X + v.Y*v2.Y
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y))
magnitudeV2 := math.Sqrt(float64(v2.X*v2.X + v2.Y*v2.Y))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// AngleBetweenDegComp returns the angle between the specified vector and the vector V2I[T]{X: x, Y: y} in degrees.
func (v V2I[T]) AngleBetweenDegComp(x T, y T) float64 {
dotProduct := v.X*x + v.Y*y
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y))
magnitudeV2 := math.Sqrt(float64(x*x + y*y))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// For V3I
// AngleBetweenDeg returns the angle between the two vectors in degrees.
func (v V3I[T]) AngleBetweenDeg(v2 V3I[T]) float64 {
dotProduct := v.X*v2.X + v.Y*v2.Y + v.Z*v2.Z
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y + v.Z*v.Z))
magnitudeV2 := math.Sqrt(float64(v2.X*v2.X + v2.Y*v2.Y + v2.Z*v2.Z))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}
// AngleBetweenDegComp returns the angle between the specified vector and the vector V3I[T]{X: x, Y: y, Z: z} in degrees.
func (v V3I[T]) AngleBetweenDegComp(x T, y T, z T) float64 {
dotProduct := v.X*x + v.Y*y + v.Z*z
magnitudeV := math.Sqrt(float64(v.X*v.X + v.Y*v.Y + v.Z*v.Z))
magnitudeV2 := math.Sqrt(float64(x*x + y*y + z*z))
cosTheta := float64(dotProduct) / (magnitudeV * magnitudeV2)
return math.Acos(math.Min(math.Max(cosTheta, -1.0), 1.0)) * radToDegFactor
}