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[<Struct>] | |
type Vector = | |
{ X: float; Y: float; Z: float } | |
static member (*) (k, v: Vector) = { X = k * v.X; Y = k * v.Y; Z = k * v.Z } | |
static member (-) (v1: Vector, v2: Vector) = { X = v1.X - v2.X; Y = v1.Y - v2.Y; Z = v1.Z - v2.Z } | |
static member (+) (v1: Vector, v2: Vector) = { X = v1.X + v2.X; Y = v1.Y + v2.Y; Z = v1.Z + v2.Z } | |
static member Dot (v1: Vector, v2: Vector) = v1.X * v2.X + v1.Y * v2.Y + v1.Z * v2.Z | |
static member Mag (v: Vector) = sqrt (v.X * v.X + v.Y * v.Y + v.Z * v.Z) | |
static member Norm (v: Vector) = | |
let mag = Vector.Mag v | |
let div = if mag = 0.0 then infinity else 1.0/mag | |
div * v | |
static member Cross (v1: Vector, v2: Vector) = | |
{ X = v1.Y * v2.Z - v1.Z * v2.Y | |
; Y = v1.Z * v2.X - v1.X * v2.Z | |
; Z = v1.X * v2.Y - v1.Y * v2.X } |
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