CGFloat.swift

// This source file is part of the Swift.org open source project
//
// Copyright (c) 2014 - 2016, 2018 Apple Inc. and the Swift project authors
// Licensed under Apache License v2.0 with Runtime Library Exception
//
// See http://swift.org/LICENSE.txt for license information
// See http://swift.org/CONTRIBUTORS.txt for the list of Swift project authors
//

@frozen
public struct CGFloat: Sendable {
#if arch(i386) || arch(arm) || arch(wasm32)
    /// The native type used to store the CGFloat, which is Float on
    /// 32-bit architectures and Double on 64-bit architectures.
    public typealias NativeType = Float
#elseif arch(x86_64) || arch(arm64) || arch(s390x) || arch(powerpc64) || arch(powerpc64le)
    /// The native type used to store the CGFloat, which is Float on
    /// 32-bit architectures and Double on 64-bit architectures.
    public typealias NativeType = Double
#else
    #error("This architecture isn't known. Add it to the 32-bit or 64-bit line.")
#endif
    
    @_transparent public init() {
        self.native = 0.0
    }
    
    @_transparent public init(_ value: Float) {
        self.native = NativeType(value)
    }
    
    @_transparent public init(_ value: Double) {
        self.native = NativeType(value)
    }
    
#if !(os(Windows) || os(Android)) && (arch(i386) || arch(x86_64))
    @_transparent public init(_ value: Float80) {
        self.native = NativeType(value)
    }
#endif
    
    @_transparent public init(_ value: CGFloat) {
        self.native = value.native
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: UInt8) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: Int8) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: UInt16) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: Int16) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: UInt32) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: Int32) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: UInt64) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: Int64) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: UInt) {
        self.native = NativeType(value)
    }
    
    /// Creates a new value, rounded to the closest possible representation.
    ///
    /// If two representable values are equally close, the result is the value
    /// with more trailing zeros in its significand bit pattern.
    ///
    /// - Parameter value: The integer to convert to a floating-point value.
    public init(_ value: Int) {
        self.native = NativeType(value)
    }
    
    /// The native value.
    public var native: NativeType
}

extension CGFloat : SignedNumeric {
    // FIXME(integers): implement
    public init?<T : BinaryInteger>(exactly source: T) {
      fatalError()
    }

    @_transparent
    public var magnitude: CGFloat {
        return CGFloat(Swift.abs(native))
    }

}

extension CGFloat : BinaryFloatingPoint {
    
    public typealias RawSignificand = UInt
    public typealias Exponent = Int

    @_transparent
    public static var exponentBitCount: Int {
        return NativeType.exponentBitCount
    }
    
    @_transparent
    public static var significandBitCount: Int {
        return NativeType.significandBitCount
    }
    
    //  Conversions to/from integer encoding.  These are not part of the
    //  BinaryFloatingPoint prototype because there's no guarantee that an
    //  integer type of the same size actually exists (e.g. Float80).
    @_transparent
    public var bitPattern: UInt {
        return UInt(native.bitPattern)
    }

    @_transparent
    public init(bitPattern: UInt) {
#if arch(i386) || arch(arm) || arch(wasm32)
        native = NativeType(bitPattern: UInt32(bitPattern))
#elseif arch(x86_64) || arch(arm64) || arch(s390x) || arch(powerpc64) || arch(powerpc64le)
        native = NativeType(bitPattern: UInt64(bitPattern))
#else
    #error("This architecture isn't known. Add it to the 32-bit or 64-bit line.")
#endif
    }

    @_transparent
    public var sign: FloatingPointSign {
        return native.sign
    }

    @_transparent
    public var exponentBitPattern: UInt {
        return native.exponentBitPattern
    }

    @_transparent
    public var significandBitPattern: UInt {
        return UInt(native.significandBitPattern)
    }

    @_transparent
    public init(sign: FloatingPointSign,
                exponentBitPattern: UInt,
                significandBitPattern: UInt) {
        native = NativeType(sign: sign,
                            exponentBitPattern: exponentBitPattern,
                            significandBitPattern: NativeType.RawSignificand(significandBitPattern))
    }

    @_transparent
    public init(nan payload: RawSignificand, signaling: Bool) {
        native = NativeType(nan: NativeType.RawSignificand(payload),
                            signaling: signaling)
    }

    @_transparent
    public static var infinity: CGFloat {
        return CGFloat(NativeType.infinity)
    }

    @_transparent
    public static var nan: CGFloat {
        return CGFloat(NativeType.nan)
    }

    @_transparent
    public static var signalingNaN: CGFloat {
        return CGFloat(NativeType.signalingNaN)
    }

    @available(*, unavailable, renamed: "nan")
    public static var quietNaN: CGFloat {
        fatalError("unavailable")
    }

    @_transparent
    public static var greatestFiniteMagnitude: CGFloat {
        return CGFloat(NativeType.greatestFiniteMagnitude)
    }

    @_transparent
    public static var pi: CGFloat {
        return CGFloat(NativeType.pi)
    }

    @_transparent
    public var ulp: CGFloat {
        return CGFloat(native.ulp)
    }

    @_transparent
    public static var leastNormalMagnitude: CGFloat {
        return CGFloat(NativeType.leastNormalMagnitude)
    }

    @_transparent
    public static var leastNonzeroMagnitude: CGFloat {
        return CGFloat(NativeType.leastNonzeroMagnitude)
    }

    @_transparent
    public var exponent: Int {
        return native.exponent
    }

    @_transparent
    public var significand: CGFloat {
        return CGFloat(native.significand)
    }

    @_transparent
    public init(sign: FloatingPointSign, exponent: Int, significand: CGFloat) {
        native = NativeType(sign: sign,
                            exponent: exponent, significand: significand.native)
    }

    @_transparent
    public mutating func round(_ rule: FloatingPointRoundingRule) {
        native.round(rule)
    }

    @_transparent
    public var nextUp: CGFloat {
        return CGFloat(native.nextUp)
    }

    @_transparent
    public mutating func negate() {
        native.negate()
    }

    @_transparent
    public static func +=(_ lhs: inout CGFloat, _ rhs: CGFloat) {
        lhs.native += rhs.native
    }

    @_transparent
    public static func -=(_ lhs: inout CGFloat, _ rhs: CGFloat) {
        lhs.native -= rhs.native
    }

    @_transparent
    public static func *=(_ lhs: inout CGFloat, _ rhs: CGFloat) {
        lhs.native *= rhs.native
    }

    @_transparent
    public static func /=(_ lhs: inout CGFloat, _ rhs: CGFloat) {
        lhs.native /= rhs.native
    }

    @_transparent
    public mutating func formTruncatingRemainder(dividingBy other: CGFloat) {
        native.formTruncatingRemainder(dividingBy: other.native)
    }

    @_transparent
    public mutating func formRemainder(dividingBy other: CGFloat) {
        native.formRemainder(dividingBy: other.native)
    }

    @_transparent
    public mutating func formSquareRoot( ) {
        native.formSquareRoot( )
    }

    @_transparent
    public mutating func addProduct(_ lhs: CGFloat, _ rhs: CGFloat) {
        native.addProduct(lhs.native, rhs.native)
    }

    @_transparent
    public func isEqual(to other: CGFloat) -> Bool {
        return self.native.isEqual(to: other.native)
    }

    @_transparent
    public func isLess(than other: CGFloat) -> Bool {
        return self.native.isLess(than: other.native)
    }

    @_transparent
    public func isLessThanOrEqualTo(_ other: CGFloat) -> Bool {
        return self.native.isLessThanOrEqualTo(other.native)
    }

    @_transparent
    public var isNormal:  Bool {
        return native.isNormal
    }

    @_transparent
    public var isFinite:  Bool {
        return native.isFinite
    }

    @_transparent
    public var isZero:  Bool {
        return native.isZero
    }

    @_transparent
    public var isSubnormal:  Bool {
        return native.isSubnormal
    }

    @_transparent
    public var isInfinite:  Bool {
        return native.isInfinite
    }

    @_transparent
    public var isNaN:  Bool {
        return native.isNaN
    }

    @_transparent
    public var isSignalingNaN: Bool {
        return native.isSignalingNaN
    }

    @available(*, unavailable, renamed: "isSignalingNaN")
    public var isSignaling: Bool {
        fatalError("unavailable")
    }

    @_transparent
    public var isCanonical: Bool {
        return true
    }

    @_transparent
    public var floatingPointClass: FloatingPointClassification {
        return native.floatingPointClass
    }

    @_transparent
    public var binade: CGFloat {
        return CGFloat(native.binade)
    }

    @_transparent
    public var significandWidth: Int {
        return native.significandWidth
    }

    /// Create an instance initialized to `value`.
    @_transparent
    public init(floatLiteral value: NativeType) {
        native = value
    }

    /// Create an instance initialized to `value`.
    @_transparent
    public init(integerLiteral value: Int) {
        native = NativeType(value)
    }
}

extension CGFloat {
    @available(*, unavailable, renamed: "leastNormalMagnitude")
    public static var min: CGFloat {
        fatalError("unavailable")
    }
    
    @available(*, unavailable, renamed: "greatestFiniteMagnitude")
    public static var max: CGFloat {
        fatalError("unavailable")
    }
    
    @available(*, unavailable, message: "Please use the `abs(_:)` free function")
    public static func abs(_ x: CGFloat) -> CGFloat {
        fatalError("unavailable")
    }
}

@available(*, unavailable, renamed: "CGFloat.leastNormalMagnitude")
public var CGFLOAT_MIN: CGFloat {
    fatalError("unavailable")
}

@available(*, unavailable, renamed: "CGFloat.greatestFiniteMagnitude")
public var CGFLOAT_MAX: CGFloat {
    fatalError("unavailable")
}

extension CGFloat : CustomReflectable {
    /// Returns a mirror that reflects `self`.
    public var customMirror: Mirror {
        return Mirror(reflecting: native)
    }
}

extension CGFloat : CustomStringConvertible {
    /// A textual representation of `self`.
    public var description: String {
        return native.description
    }
}

extension CGFloat : Hashable {
    /// The hash value.
    ///
    /// **Axiom:** `x == y` implies `x.hashValue == y.hashValue`
    ///
    /// - Note: the hash value is not guaranteed to be stable across
    ///   different invocations of the same program.  Do not persist the
    ///   hash value across program runs.
    @_transparent
    public var hashValue: Int {
        return native.hashValue
    }

    @_transparent
    public func hash(into hasher: inout Hasher) {
        hasher.combine(native)
    }

    @_transparent
    public func _rawHashValue(seed: Int) -> Int {
        return native._rawHashValue(seed: seed)
    }
}

extension UInt8 {
    @_transparent
    public init(_ value: CGFloat) {
        self = UInt8(value.native)
    }
}

extension Int8 {
    @_transparent
    public init(_ value: CGFloat) {
        self = Int8(value.native)
    }
}

extension UInt16 {
    @_transparent
    public init(_ value: CGFloat) {
        self = UInt16(value.native)
    }
}

extension Int16 {
    @_transparent
    public init(_ value: CGFloat) {
        self = Int16(value.native)
    }
}

extension UInt32 {
    @_transparent
    public init(_ value: CGFloat) {
        self = UInt32(value.native)
    }
}

extension Int32 {
    @_transparent
    public init(_ value: CGFloat) {
        self = Int32(value.native)
    }
}

extension UInt64 {
    @_transparent
    public init(_ value: CGFloat) {
        self = UInt64(value.native)
    }
}

extension Int64 {
    @_transparent
    public init(_ value: CGFloat) {
        self = Int64(value.native)
    }
}

extension UInt {
    @_transparent
    public init(_ value: CGFloat) {
        self = UInt(value.native)
    }
}

extension Int {
    @_transparent
    public init(_ value: CGFloat) {
        self = Int(value.native)
    }
}

extension Double {
    @_transparent
    public init(_ value: CGFloat) {
        self = Double(value.native)
    }
}

extension Float {
    @_transparent
    public init(_ value: CGFloat) {
        self = Float(value.native)
    }
}
//===----------------------------------------------------------------------===//
// Standard Operator Table
//===----------------------------------------------------------------------===//

//  TODO: These should not be necessary, since they're already provided by
//  <T: FloatingPoint>, but in practice they are currently needed to
//  disambiguate overloads.  We should find a way to remove them, either by
//  tweaking the overload resolution rules, or by removing the other
//  definitions in the standard lib, or both.

extension CGFloat {
    @_transparent
    public static func +(lhs: CGFloat, rhs: CGFloat) -> CGFloat {
        var lhs = lhs
        lhs += rhs
        return lhs
    }

    @_transparent
    public static func -(lhs: CGFloat, rhs: CGFloat) -> CGFloat {
        var lhs = lhs
        lhs -= rhs
        return lhs
    }

    @_transparent
    public static func *(lhs: CGFloat, rhs: CGFloat) -> CGFloat {
        var lhs = lhs
        lhs *= rhs
        return lhs
    }

    @_transparent
    public static func /(lhs: CGFloat, rhs: CGFloat) -> CGFloat {
        var lhs = lhs
        lhs /= rhs
        return lhs
    }
}


//===----------------------------------------------------------------------===//
// Strideable Conformance
//===----------------------------------------------------------------------===//

extension CGFloat : Strideable {
    /// Returns a stride `x` such that `self.advanced(by: x)` approximates
    /// `other`.
    ///
    /// - Complexity: O(1).
    @_transparent
    public func distance(to other: CGFloat) -> CGFloat {
        return CGFloat(other.native - self.native)
    }
    
    /// Returns a `Self` `x` such that `self.distance(to: x)` approximates
    /// `n`.
    ///
    /// - Complexity: O(1).
    @_transparent
    public func advanced(by amount: CGFloat) -> CGFloat {
        return CGFloat(self.native + amount.native)
    }
}

//===----------------------------------------------------------------------===//
// Deprecated operators
//===----------------------------------------------------------------------===//

@available(*, unavailable, message: "Use truncatingRemainder instead")
public func %(lhs: CGFloat, rhs: CGFloat) -> CGFloat {
    fatalError("% is not available.")
}

@available(*, unavailable, message: "Use formTruncatingRemainder instead")
public func %=(lhs: inout CGFloat, rhs: CGFloat) {
    fatalError("%= is not available.")
}

//===----------------------------------------------------------------------===//
// tgmath
//===----------------------------------------------------------------------===//

@_transparent
public func acos(_ x: CGFloat) -> CGFloat {
    return CGFloat(acos(x.native))
}

@_transparent
public func cos(_ x: CGFloat) -> CGFloat {
    return CGFloat(cos(x.native))
}

@_transparent
public func sin(_ x: CGFloat) -> CGFloat {
    return CGFloat(sin(x.native))
}

@_transparent
public func asin(_ x: CGFloat) -> CGFloat {
    return CGFloat(asin(x.native))
}

@_transparent
public func atan(_ x: CGFloat) -> CGFloat {
    return CGFloat(atan(x.native))
}

@_transparent
public func tan(_ x: CGFloat) -> CGFloat {
    return CGFloat(tan(x.native))
}

@_transparent
public func acosh(_ x: CGFloat) -> CGFloat {
    return CGFloat(acosh(x.native))
}

@_transparent
public func asinh(_ x: CGFloat) -> CGFloat {
    return CGFloat(asinh(x.native))
}

@_transparent
public func atanh(_ x: CGFloat) -> CGFloat {
    return CGFloat(atanh(x.native))
}

@_transparent
public func cosh(_ x: CGFloat) -> CGFloat {
    return CGFloat(cosh(x.native))
}

@_transparent
public func sinh(_ x: CGFloat) -> CGFloat {
    return CGFloat(sinh(x.native))
}

@_transparent
public func tanh(_ x: CGFloat) -> CGFloat {
    return CGFloat(tanh(x.native))
}

@_transparent
public func exp(_ x: CGFloat) -> CGFloat {
    return CGFloat(exp(x.native))
}

@_transparent
public func exp2(_ x: CGFloat) -> CGFloat {
    return CGFloat(exp2(x.native))
}

@_transparent
public func expm1(_ x: CGFloat) -> CGFloat {
    return CGFloat(expm1(x.native))
}

@_transparent
public func log(_ x: CGFloat) -> CGFloat {
    return CGFloat(log(x.native))
}

@_transparent
public func log10(_ x: CGFloat) -> CGFloat {
    return CGFloat(log10(x.native))
}

@_transparent
public func log2(_ x: CGFloat) -> CGFloat {
    return CGFloat(log2(x.native))
}

@_transparent
public func log1p(_ x: CGFloat) -> CGFloat {
    return CGFloat(log1p(x.native))
}

@_transparent
public func logb(_ x: CGFloat) -> CGFloat {
    return CGFloat(logb(x.native))
}

@_transparent
public func cbrt(_ x: CGFloat) -> CGFloat {
    return CGFloat(cbrt(x.native))
}

@_transparent
public func erf(_ x: CGFloat) -> CGFloat {
    return CGFloat(erf(x.native))
}

@_transparent
public func erfc(_ x: CGFloat) -> CGFloat {
    return CGFloat(erfc(x.native))
}

@_transparent
public func tgamma(_ x: CGFloat) -> CGFloat {
    return CGFloat(tgamma(x.native))
}

@_transparent
public func nearbyint(_ x: CGFloat) -> CGFloat {
    return CGFloat(x.native.rounded(.toNearestOrEven))
}

@_transparent
public func rint(_ x: CGFloat) -> CGFloat {
    return CGFloat(x.native.rounded(.toNearestOrEven))
}

@_transparent
public func atan2(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(atan2(lhs.native, rhs.native))
}

@_transparent
public func hypot(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(hypot(lhs.native, rhs.native))
}

@_transparent
public func pow(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(pow(lhs.native, rhs.native))
}

@_transparent
public func copysign(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(copysign(lhs.native, rhs.native))
}

@_transparent
public func nextafter(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(nextafter(lhs.native, rhs.native))
}

@_transparent
public func fdim(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(fdim(lhs.native, rhs.native))
}

@_transparent
public func fmax(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(fmax(lhs.native, rhs.native))
}

@_transparent
public func fmin(_ lhs: CGFloat, _ rhs: CGFloat) -> CGFloat {
    return CGFloat(fmin(lhs.native, rhs.native))
}

@_transparent
@available(*, unavailable, message: "use the floatingPointClass property.")
public func fpclassify(_ x: CGFloat) -> Int {
    fatalError("unavailable")
}

@available(*, unavailable, message: "use the isNormal property.")
public func isnormal(_ value: CGFloat) -> Bool { return value.isNormal }

@available(*, unavailable, message: "use the isFinite property.")
public func isfinite(_ value: CGFloat) -> Bool { return value.isFinite }

@available(*, unavailable, message: "use the isInfinite property.")
public func isinf(_ value: CGFloat) -> Bool { return value.isInfinite }

@available(*, unavailable, message: "use the isNaN property.")
public func isnan(_ value: CGFloat) -> Bool { return value.isNaN }

@available(*, unavailable, message: "use the sign property.")
public func signbit(_ value: CGFloat) -> Int { return value.sign.rawValue }

@_transparent
public func modf(_ x: CGFloat) -> (CGFloat, CGFloat) {
    let (ipart, fpart) = modf(x.native)
    return (CGFloat(ipart), CGFloat(fpart))
}

@_transparent
public func ldexp(_ x: CGFloat, _ n: Int) -> CGFloat {
    return CGFloat(scalbn(x.native, n))
}

@_transparent
public func frexp(_ x: CGFloat) -> (CGFloat, Int) {
    let (frac, exp) = frexp(x.native)
    return (CGFloat(frac), exp)
}

@_transparent
public func ilogb(_ x: CGFloat) -> Int {
    return x.native.exponent
}

@_transparent
public func scalbn(_ x: CGFloat, _ n: Int) -> CGFloat {
    return CGFloat(scalbn(x.native, n))
}

#if !os(Windows)
@_transparent
public func lgamma(_ x: CGFloat) -> (CGFloat, Int) {
    let (value, sign) = lgamma(x.native)
    return (CGFloat(value), sign)
}
#endif

@_transparent
public func remquo(_ x: CGFloat, _ y: CGFloat) -> (CGFloat, Int) {
    let (rem, quo) = remquo(x.native, y.native)
    return (CGFloat(rem), quo)
}

@_transparent
public func nan(_ tag: String) -> CGFloat {
    return CGFloat(nan(tag) as CGFloat.NativeType)
}

@_transparent
public func j0(_ x: CGFloat) -> CGFloat {
    return CGFloat(j0(Double(x.native)))
}

@_transparent
public func j1(_ x: CGFloat) -> CGFloat {
    return CGFloat(j1(Double(x.native)))
}

@_transparent
public func jn(_ n: Int, _ x: CGFloat) -> CGFloat {
    return CGFloat(jn(n, Double(x.native)))
}

@_transparent
public func y0(_ x: CGFloat) -> CGFloat {
    return CGFloat(y0(Double(x.native)))
}

@_transparent
public func y1(_ x: CGFloat) -> CGFloat {
    return CGFloat(y1(Double(x.native)))
}

@_transparent
public func yn(_ n: Int, _ x: CGFloat) -> CGFloat {
    return CGFloat(yn(n, Double(x.native)))
}

extension CGFloat : _CVarArgPassedAsDouble, _CVarArgAligned {
    /// Transform `self` into a series of machine words that can be
    /// appropriately interpreted by C varargs
    @_transparent
    public var _cVarArgEncoding: [Int] {
        return native._cVarArgEncoding
    }
    
    /// Return the required alignment in bytes of 
    /// the value returned by `_cVarArgEncoding`.
    @_transparent
    public var _cVarArgAlignment: Int { 
        return native._cVarArgAlignment
    }
}

extension CGFloat : Codable {
    @_transparent
    public init(from decoder: Decoder) throws {
        let container = try decoder.singleValueContainer()
        do {
            self.native = try container.decode(NativeType.self)
        } catch DecodingError.typeMismatch(let type, let context) {
            // We may have encoded as a different type on a different platform. A
            // strict fixed-format decoder may disallow a conversion, so let's try the
            // other type.
            do {
                if NativeType.self == Float.self {
                    self.native = NativeType(try container.decode(Double.self))
                } else {
                    self.native = NativeType(try container.decode(Float.self))
                }
            } catch {
                // Failed to decode as the other type, too. This is neither a Float nor
                // a Double. Throw the old error; we don't want to clobber the original
                // info.
                throw DecodingError.typeMismatch(type, context)
            }
        }
    }
    
    @_transparent
    public func encode(to encoder: Encoder) throws {
        var container = encoder.singleValueContainer()
        try container.encode(self.native)
    }
}