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Add AngleBetween operations for degrees and radians (#33)
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Implements `AngleBetweenRad` and `AngleBetweenDeg` operations.
Closes #14
Closes #13
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@Xkonti
Xkonti authored Oct 4, 2023
1 parent 72e4f2a commit 27ae3cb
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85 changes: 85 additions & 0 deletions angleBetweenDeg.go
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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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}

// 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)) * 180 / math.Pi
}
85 changes: 85 additions & 0 deletions angleBetweenRad.go
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package govec

import (
"math"
)

// For V2F

// AngleBetweenRad returns the angle between the two vectors in radians.
func (v V2F[T]) AngleBetweenRad(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))
}

// AngleBetweenRadComp returns the angle between the specified vector and the vector V2F[T]{X: x, Y: y} in radians.
func (v V2F[T]) AngleBetweenRadComp(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))
}

// For V3F

// AngleBetweenRad returns the angle between the two vectors in radians.
func (v V3F[T]) AngleBetweenRad(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))
}

// AngleBetweenRadComp returns the angle between the specified vector and the vector V3F[T]{X: x, Y: y, Z: z} in radians.
func (v V3F[T]) AngleBetweenRadComp(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))
}

// For V2I

// AngleBetweenRad returns the angle between the two vectors in radians.
func (v V2I[T]) AngleBetweenRad(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))
}

// AngleBetweenRadComp returns the angle between the specified vector and the vector V2I[T]{X: x, Y: y} in radians.
func (v V2I[T]) AngleBetweenRadComp(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))
}

// For V3I

// AngleBetweenRad returns the angle between the two vectors in radians.
func (v V3I[T]) AngleBetweenRad(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))
}

// AngleBetweenRadComp returns the angle between the specified vector and the vector V3I[T]{X: x, Y: y, Z: z} in radians.
func (v V3I[T]) AngleBetweenRadComp(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))
}

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