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⟩ ⟩ ⟩ ⟩ ⟩ MetricSpace
Protocol Inheritance Hierarchy
MetricSpace -> -> ->
// 2024.12.11 - 15:00 // Protocol Inheritance Hierarchy // • MetricSpace -> Vector -> Vector2D -> ComplextNumber // 🅿️ MetricSpace (protocol) public protocol MetricSpace { // ⭐️ 純量 (scalar) // • FloatingPoint：支援 +,-,*,/ // • Comparable ：可比較大小（如需排序或限制範圍時） associatedtype Scalar: FloatingPoint & Comparable // ⭐️ requirement func distance(to other: Self) -> Scalar } // MetricSpace: default behavior extension MetricSpace { // ⭐️ p.isAlmostEqual(to: q) func isAlmostEqual( to other: Self, // ⭐ 容許誤差的比較（Tolerance-based Comparison） // default tolerance = ULP of 1.0 * 1000 // .ulpOne: ULP (Unit of Last Place) of 1.0.....0 <-- this place // • Double.ulpOfOne = 2.220446049250313e-16 // • Float.ulpOfOne = 1.1920929e-07 // • 在 64 位元平台上(現今大部分的 Apple 裝置)，CGFloat 與 Double 有相同精度 tolerance: Scalar = Scalar.ulpOfOne * 1000 ) -> Bool { return distance(to: other) < tolerance } }
Vector：conforms to MetricSpace
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