expand 2d maths classes

Sources/Voxelotl/Math/Extent.swift

@@ -1,13 +1,46 @@
-struct Extent<T: AdditiveArithmetic>: Equatable {
+public struct Extent<T: AdditiveArithmetic & Hashable>: Hashable {
-  var top: T, bottom: T, left: T, right: T
+  public var left: T, top: T, right: T, bottom: T
 
-  @inline(__always) static func == (lhs: Self, rhs: Self) -> Bool {
+  @inline(__always) public var topLeft: Point<T> { .init(left, top) }
+  @inline(__always) public var topRight: Point<T> { .init(right, top) }
+  @inline(__always) public var bottomLeft: Point<T> { .init(left, bottom) }
+  @inline(__always) public var bottomRight: Point<T> { .init(right, bottom) }
+
+  @inline(__always) public static func == (lhs: Self, rhs: Self) -> Bool {
     lhs.left == rhs.left && lhs.right == rhs.right && lhs.top == rhs.top && lhs.bottom == rhs.bottom
   }
 }
 
-extension Extent where T: Comparable {
+public extension Extent where T: Comparable {
   var size: Size<T> { .init(
     right > left ? right - left : left - right,
     bottom > top ? bottom - top : top - bottom) }
 }
+
+public extension Extent where T: SIMDScalar {
+  init(from: SIMD2<T>, to: SIMD2<T>) {
+    self.left   = from.x
+    self.top    = from.y
+    self.right  = to.x
+    self.bottom = to.y
+  }
+}
+
+public extension Extent where T: AdditiveArithmetic {
+  init(_ rect: Rect<T>) {
+    self.left   = rect.x
+    self.top    = rect.y
+    self.right  = rect.x + rect.w
+    self.bottom = rect.y + rect.h
+  }
+}
+
+public extension Extent where T: Numeric {
+  @inline(__always) static func * (lhs: Self, rhs: Size<T>) -> Self {
+    .init(
+      left:   lhs.left * rhs.w,
+      top:    lhs.top * rhs.w,
+      right:  lhs.right * rhs.h,
+      bottom: lhs.bottom * rhs.h)
+  }
+}

Sources/Voxelotl/Math/Point.swift

@@ -1,18 +1,32 @@
-struct Point<T: AdditiveArithmetic>: Equatable {
+public struct Point<T: AdditiveArithmetic & Hashable>: Hashable {
-  var x: T, y: T
+  public var x: T, y: T
 
-  static var zero: Self { .init(.zero, .zero) }
+  public static var zero: Self { .init(.zero, .zero) }
 
-  init(_ x: T, _ y: T) {
+  public init(_ x: T, _ y: T) {
     self.x = x
     self.y = y
   }
 
-  @inline(__always) static func == (lhs: Self, rhs: Self) -> Bool { lhs.x == rhs.x && lhs.y == rhs.y }
+  public init(scalar value: T) {
-  @inline(__always) static func != (lhs: Self, rhs: Self) -> Bool { lhs.x != rhs.x || lhs.y != rhs.y }
+    self.x = value
+    self.y = value
   }
 
-extension Point where T: AdditiveArithmetic {
+  @inline(__always) public static func == (lhs: Self, rhs: Self) -> Bool { lhs.x == rhs.x && lhs.y == rhs.y }
+  @inline(__always) public static func != (lhs: Self, rhs: Self) -> Bool { lhs.x != rhs.x || lhs.y != rhs.y }
+}
+
+extension Point where T: BinaryInteger {
+  init<O: BinaryInteger>(_ other: Point<O>) {
+    self.init(T(other.x), T(other.y))
+  }
+  init<O: BinaryFloatingPoint>(_ other: Point<O>) {
+    self.init(T(other.x), T(other.y))
+  }
+}
+
+public extension Point where T: AdditiveArithmetic {
   @inline(__always) static func + (lhs: Self, rhs: Self) -> Self { Self(lhs.x + rhs.x, lhs.y + rhs.y) }
   @inline(__always) static func - (lhs: Self, rhs: Self) -> Self { Self(lhs.x - rhs.x, lhs.y - rhs.y) }
 
@@ -20,7 +34,34 @@ extension Point where T: AdditiveArithmetic {
   @inline(__always) static func -= (lhs: inout Self, rhs: Self) { lhs.x -= rhs.x; lhs.y -= rhs.y }
 }
 
-extension SIMD2 where Scalar: AdditiveArithmetic {
+public extension Point where T: Numeric {
+  @inline(__always) static func * (lhs: Self, rhs: Self) -> Self { .init(lhs.x * rhs.x, lhs.y * rhs.y) }
+  @inline(__always) static func * (lhs: Self, rhs: T) -> Self { .init(lhs.x * rhs, lhs.y * rhs) }
+
+  @inline(__always) static func *= (lhs: inout Self, rhs: Self) { lhs.x *= rhs.x; lhs.y *= rhs.y }
+  @inline(__always) static func *= (lhs: inout Self, rhs: T) { lhs.x *= rhs; lhs.y *= rhs }
+}
+
+extension Point where T: FloatingPoint {
+  @inline(__always) static func / (lhs: Self, rhs: Self) -> Self { .init(lhs.x / rhs.x, lhs.y / rhs.y) }
+  @inline(__always) static func / (lhs: Self, rhs: Size<T>) -> Self { .init(lhs.x / rhs.w, lhs.y / rhs.h) }
+  @inline(__always) static func / (lhs: Self, rhs: T) -> Self { .init(lhs.x / rhs, lhs.y / rhs) }
+
+  @inline(__always) static func /= (lhs: inout Self, rhs: Self) { lhs.x /= rhs.x; lhs.y /= rhs.y }
+  @inline(__always) static func /= (lhs: inout Self, rhs: Size<T>) { lhs.x /= rhs.w; lhs.y /= rhs.h }
+  @inline(__always) static func /= (lhs: inout Self, rhs: T) { lhs.x /= rhs; lhs.y /= rhs }
+}
+
+extension Point where T: BinaryFloatingPoint {
+  init<O: BinaryInteger>(_ other: Point<O>) {
+    self.init(T(other.x), T(other.y))
+  }
+  init<O: BinaryFloatingPoint>(_ other: Point<O>) {
+    self.init(T(other.x), T(other.y))
+  }
+}
+
+public extension SIMD2 where Scalar: AdditiveArithmetic {
   init(_ point: Point<Scalar>) {
     self.init(point.x, point.y)
   }

Sources/Voxelotl/Math/Rectangle.swift

@@ -1,16 +1,16 @@
-public struct Rect<T: AdditiveArithmetic>: Equatable {
+public struct Rect<T: AdditiveArithmetic & Hashable>: Hashable {
-  var x: T, y: T, w: T, h: T
+  public var x: T, y: T, w: T, h: T
 
-  var origin: Point<T> {
+  public var origin: Point<T> {
     get { .init(self.x, self.y) }
     set(point) { self.x = point.x; self.y = point.y }
   }
-  var size: Size<T> {
+  public var size: Size<T> {
     get { .init(self.w, self.h) }
     set(size) { self.w = size.w; self.h = size.h }
   }
 
-  static var zero: Self { .init(origin: .zero, size: .zero) }
+  public static var zero: Self { .init(origin: .zero, size: .zero) }
 
   init(x: T, y: T, width: T, height: T) {
     self.x = x
@@ -19,7 +19,7 @@ public struct Rect<T: AdditiveArithmetic>: Equatable {
     self.h = height
   }
 
-  init(origin: Point<T>, size: Size<T>) {
+  public init(origin: Point<T>, size: Size<T>) {
     self.x = origin.x
     self.y = origin.y
     self.w = size.w
@@ -37,3 +37,21 @@ public extension Rect where T: AdditiveArithmetic {
   var up: T { y }
   var down: T { y + h }
 }
+
+public extension Rect where T: BinaryInteger {
+  init<O: BinaryInteger>(_ other: Rect<O>) {
+    self.init(origin: Point<T>(other.origin), size: Size<T>(other.size))
+  }
+  init<O: BinaryFloatingPoint>(_ other: Rect<O>) {
+    self.init(origin: Point<T>(other.origin), size: Size<T>(other.size))
+  }
+}
+
+public extension Rect where T: BinaryFloatingPoint {
+  init<O: BinaryInteger>(_ other: Rect<O>) {
+    self.init(origin: Point<T>(other.origin), size: Size<T>(other.size))
+  }
+  init<O: BinaryFloatingPoint>(_ other: Rect<O>) {
+    self.init(origin: Point<T>(other.origin), size: Size<T>(other.size))
+  }
+}

Sources/Voxelotl/Math/Size.swift

@@ -1,17 +1,47 @@
-public struct Size<T: AdditiveArithmetic>: Equatable {
+public struct Size<T: AdditiveArithmetic & Hashable>: Hashable {
-  var w: T, h: T
+  public var w: T, h: T
 
-  static var zero: Self { .init(.zero, .zero) }
+  public static var zero: Self { .init(.zero, .zero) }
 
-  init(_ w: T, _ h: T) {
+  public init(_ w: T, _ h: T) {
     self.w = w
     self.h = h
   }
 
+  public init(scalar value: T) {
+    self.w = value
+    self.h = value
+  }
+
   @inline(__always) public static func == (lhs: Self, rhs: Self) -> Bool { lhs.w == rhs.w && lhs.h == rhs.h }
   @inline(__always) public static func != (lhs: Self, rhs: Self) -> Bool { lhs.w != rhs.w || lhs.h != rhs.h }
 }
 
+public extension Size where T: AdditiveArithmetic {
+  @inline(__always) static func + (lhs: Self, rhs: Self) -> Self { .init(lhs.w + rhs.w, lhs.h + rhs.h) }
+  @inline(__always) static func - (lhs: Self, rhs: Self) -> Self { .init(lhs.w - rhs.w, lhs.h - rhs.h) }
+
+  @inline(__always) static func += (lhs: inout Self, rhs: Self) { lhs.w += rhs.w; lhs.h += rhs.h }
+  @inline(__always) static func -= (lhs: inout Self, rhs: Self) { lhs.w -= rhs.w; lhs.h -= rhs.h }
+}
+
+public extension Size where T: Numeric {
+  @inline(__always) static func * (lhs: Self, rhs: Self) -> Self { .init(lhs.w * rhs.w, lhs.h * rhs.h) }
+  @inline(__always) static func * (lhs: Self, rhs: T) -> Self { .init(lhs.w * rhs, lhs.h * rhs) }
+
+  @inline(__always) static func *= (lhs: inout Self, rhs: Self) { lhs.w *= rhs.w; lhs.h *= rhs.h }
+  @inline(__always) static func *= (lhs: inout Self, rhs: T) { lhs.w *= rhs; lhs.h *= rhs }
+}
+
+extension Size where T: FloatingPoint {
+  @inline(__always) static func / (lhs: Self, rhs: Self) -> Self { .init(lhs.w / rhs.w, lhs.h / rhs.h) }
+  @inline(__always) static func / (lhs: Self, rhs: T) -> Self { .init(lhs.w / rhs, lhs.h / rhs) }
+  @inline(__always) static func / (lhs: T, rhs: Self) -> Self { .init(lhs / rhs.w, lhs / rhs.h) }
+
+  @inline(__always) static func /= (lhs: inout Self, rhs: Self) { lhs.w /= rhs.w; lhs.h /= rhs.h }
+  @inline(__always) static func /= (lhs: inout Self, rhs: T) { lhs.w /= rhs; lhs.h /= rhs }
+}
+
 extension Size where T: BinaryInteger {
   static var one: Self { .init(T(1), T(1)) }
 
@@ -30,8 +60,6 @@ extension Size where T: BinaryFloatingPoint {
   init<O: BinaryFloatingPoint>(_ other: Size<O>) {
     self.init(T(other.w), T(other.h))
   }
-
-  @inline(__always) public static func / (lhs: Self, rhs: Self) -> Self { .init(lhs.w / rhs.w, lhs.h / rhs.h) }
 }
 
 extension SIMD2 where Scalar: AdditiveArithmetic {
@@ -39,3 +67,7 @@ extension SIMD2 where Scalar: AdditiveArithmetic {
     self.init(size.w, size.h)
   }
 }
+
+extension Size where T: SIMDScalar & Numeric {
+  @inline(__always) public static func * (lhs: Self, rhs: SIMD2<T>) -> Self { .init(lhs.w * rhs.x, lhs.h * rhs.y) }
+}