Files
CavesOfSwift/Sources/Maths/Vector3.swift

113 lines
4.1 KiB
Swift

#if USE_SIMD
import simd
#endif
#if USE_SIMD
public typealias Vector3 = SIMD3
public extension Vector3
{
typealias T = Scalar
}
#else
public struct Vector3<T: FloatingPoint>: Equatable
{
public typealias Scalar = T
public var x, y, z: T
public init() { self.x = 0; self.y = 0; self.z = 0 }
public init(_ x: T, _ y: T, _ z: T) { self.x = x; self.y = y; self.z = z }
}
public extension Vector3
{
// constants
@inline(__always) static var zero: Self { Self(0, 0, 0) }
@inline(__always) static var one: Self { Self(1, 1, 1) }
subscript(index: Int) -> T
{
get
{
switch index
{
case 0: x
case 1: y
case 2: z
default: fatalError()
}
}
}
init(repeating v: T) { self.x = v; self.y = v; self.z = v }
// relational
@inline(__always) static func == (lhs: Self, rhs: Self) -> Bool { lhs.x == rhs.x && lhs.y == rhs.y && lhs.z == rhs.z }
@inline(__always) static func != (lhs: Self, rhs: Self) -> Bool { lhs.x != rhs.x || lhs.y != rhs.y || lhs.z != rhs.z }
// arithmetic
@inline(__always) static func + (lhs: Self, rhs: Self) -> Self { Self(lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z) }
@inline(__always) static func - (lhs: Self, rhs: Self) -> Self { Self(lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z) }
@inline(__always) static func * (lhs: Self, rhs: Self) -> Self { Self(lhs.x * rhs.x, lhs.y * rhs.y, lhs.z * rhs.z) }
@inline(__always) static func / (lhs: Self, rhs: Self) -> Self { Self(lhs.x / rhs.x, lhs.y / rhs.y, lhs.z / rhs.z) }
// scalar arithmetic
@inline(__always) static func * (lhs: Self, rhs: T) -> Self { Self(lhs.x * rhs, lhs.y * rhs, lhs.z * rhs) }
@inline(__always) static func / (lhs: Self, rhs: T) -> Self { Self(lhs.x / rhs, lhs.y / rhs, lhs.z / rhs) }
@inline(__always) static func * (lhs: T, rhs: Self) -> Self { Self(lhs * rhs.x, lhs * rhs.y, lhs * rhs.z) }
@inline(__always) static func / (lhs: T, rhs: Self) -> Self { Self(lhs / rhs.x, lhs / rhs.y, lhs / rhs.z) }
// compound arithmetic
@inline(__always) static func += (lhs: inout Self, rhs: Self) { lhs.x += rhs.x; lhs.y += rhs.y; lhs.z += rhs.z }
@inline(__always) static func -= (lhs: inout Self, rhs: Self) { lhs.x -= rhs.x; lhs.y -= rhs.y; lhs.z -= rhs.z }
@inline(__always) static func *= (lhs: inout Self, rhs: Self) { lhs.x *= rhs.x; lhs.y *= rhs.y; lhs.z *= rhs.z }
@inline(__always) static func /= (lhs: inout Self, rhs: Self) { lhs.x /= rhs.x; lhs.y /= rhs.y; lhs.z /= rhs.z }
// compound scalar arithmetic
@inline(__always) static func *= (lhs: inout Self, rhs: T) { lhs.x *= rhs; lhs.y *= rhs; lhs.z *= rhs }
@inline(__always) static func /= (lhs: inout Self, rhs: T) { lhs.x /= rhs; lhs.y /= rhs; lhs.z /= rhs }
// unary
@inline(__always) static prefix func + (vec: Self) -> Self { vec }
@inline(__always) static prefix func - (vec: Self) -> Self { Self(-vec.x, -vec.y, -vec.z) }
}
#endif
public extension Vector3 where Scalar: FloatingPoint
{
@inline(__always) static var X: Self { Self(1, 0, 0) }
@inline(__always) static var Y: Self { Self(0, 1, 0) }
@inline(__always) static var Z: Self { Self(0, 0, 1) }
@inline(__always) static var up: Self { Y }
@inline(__always) static var down: Self { -Y }
@inline(__always) static var left: Self { -X }
@inline(__always) static var right: Self { X }
@inline(__always) static var forward: Self { -Z }
@inline(__always) static var back: Self { Z }
@inline(__always) var len2: Scalar { x * x + y * y + z * z }
@inline(__always) var len: Scalar { len2.squareRoot() }
@inline(__always) var normalised: Self { let invLen = 1 / len; return self * invLen }
@inline(__always) mutating func normalise() { let invLen = 1 / len; self *= invLen }
@inline(__always) func lerp(_ b: Self, _ x: Scalar) -> Self
{
let invX = 1 - x
return Self(self.x * invX + b.x * x, self.y * invX + b.y * x, self.z * invX + b.z * x)
}
@inline(__always) func dot(_ b: Self) -> Scalar { x * b.x + y * b.y + z * b.z }
@inline(__always) func cross(_ b: Self) -> Self { Self(y * b.z - z * b.y, z * b.x - x * b.z, x * b.y - y * b.x) }
@inline(__always) func project(_ n: Self) -> Self { n * self.dot(n) }
}
public typealias Vec3f = Vector3<Float>
public typealias Vec3d = Vector3<Double>