How would I construct an OptionSetType with a raw value greater than 64 bit shifts (i.e. Int64) that is still able to be encoded using NSCoder? I have more than 64 potential bitwise options to combine.
So I eventually had to create my own primitive struct which was a pain in the ass, since the library @appzYourLife provided does not actually meet every protocol required of UnsignedIntegerTypes. The following is an extension I wrote that actually allows me to write things like
let a: UInt256 = 30
let b: UInt256 = 1 << 98
print(a + b)
which would output to the console:
0x00000000:00000000:00000000:00000000:00000004:00000000:00000000:0000001E
The extension is pretty lengthy and does not yet implement multiplication and devision or bit-shifting numbers other than 1. This version also supports encoding with and NSCoder
//
// UInt256.swift
// NoodleKit
//
// Created by NoodleOfDeath on 7/10/16.
// Copyright © 2016 NoodleOfDeath. All rights reserved.
//
import Foundation
// Bit Shifting only supports lhs = 1
@warn_unused_result
public func << (lhs: UInt256, rhs: UInt256) -> UInt256 {
if lhs > 1 { print("Warning: Only supports binary bitshifts (i.e. 1 << n, where n < 256. Shifting any other numbers than 1 may result in unexpected behavior.") }
if rhs > 255 { fatalError("shift amount is larger than type size in bits") }
let shift = UInt64(rhs.parts[7]) % 32
let offset = Int(rhs.parts[7] / 32)
var parts = [UInt32]()
for i in (0 ..< 8) {
let part: UInt64 = (i + offset < 8 ? UInt64(lhs.parts[i + offset]) : 0)
let sum32 = UInt32(part << shift)
parts.append(sum32)
}
return UInt256(parts)
}
@warn_unused_result
public func >> (lhs: UInt256, rhs: UInt256) -> UInt256 {
if lhs > 1 { print("Warning: Only supports binary bitshifts (i.e. 1 << n, where n < 256. Shifting any other numbers than 1 may result in unexpected behavior.") }
if rhs > 255 { fatalError("shift amount is larger than type size in bits") }
let shift = UInt64(rhs.parts[7]) % 32
let offset = Int(rhs.parts[7] / 32)
var parts = [UInt32]()
for i in (0 ..< 8) {
let part: UInt64 = (i - offset > 0 ? UInt64(lhs.parts[i - offset]) : 0)
let sum32 = UInt32(part >> shift)
parts.append(sum32)
}
return UInt256(parts)
}
@warn_unused_result
public func == (lhs: UInt256, rhs: UInt256) -> Bool {
return lhs.parts == rhs.parts
}
@warn_unused_result
public func < (lhs: UInt256, rhs: UInt256) -> Bool {
for i in 0 ..< 8 {
guard lhs.parts[i] < rhs.parts[i] else { continue }
return true
}
return false
}
@warn_unused_result
public func > (lhs: UInt256, rhs: UInt256) -> Bool {
for i in 0 ..< 8 {
guard lhs.parts[i] > rhs.parts[i] else { continue }
return true
}
return false
}
@warn_unused_result
public func <= (lhs: UInt256, rhs: UInt256) -> Bool {
return lhs < rhs || lhs == rhs
}
@warn_unused_result
public func >= (lhs: UInt256, rhs: UInt256) -> Bool {
return lhs > rhs || lhs == rhs
}
/// Adds `lhs` and `rhs`, returning the result and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
@warn_unused_result
public func + (lhs: UInt256, rhs: UInt256) -> UInt256 {
var parts = [UInt32]()
var carry = false
for i in (0 ..< 8).reverse() {
let lpart = UInt64(lhs.parts[i])
let rpart = UInt64(rhs.parts[i])
let comp = lpart == UInt64(UInt32.max) && rpart == UInt64(UInt32.max)
let sum64 = lpart + rpart + (carry || comp ? 1 : 0)
let sum32 = UInt32((sum64 << 32) >> 32)
carry = sum64 > UInt64(UInt32.max)
parts.insert(sum32, atIndex: 0)
}
return UInt256(parts)
}
/// Adds `lhs` and `rhs`, returning the result and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
public func += (inout lhs: UInt256, rhs: UInt256) {
lhs = lhs + rhs
}
/// Subtracts `lhs` and `rhs`, returning the result and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
@warn_unused_result
public func - (lhs: UInt256, rhs: UInt256) -> UInt256 {
var parts = [UInt32]()
var borrow = false
var gave = false
for i in (0 ..< 8).reverse() {
borrow = lhs.parts[i] < rhs.parts[i]
let lpart = UInt64(lhs.parts[i]) - (gave ? 1 : 0) + (borrow ? UInt64(UInt32.max) : 0)
let rpart = UInt64(rhs.parts[i])
let sum64 = lpart - rpart
let sum32 = UInt32((sum64 << 32) >> 32)
gave = borrow
parts.insert(sum32, atIndex: 0)
}
return UInt256(parts)
}
public func -= (inout lhs: UInt256, rhs: UInt256) {
lhs = lhs - rhs
}
/// Multiplies `lhs` and `rhs`, returning the result and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
/// - Complexity: O(64)
@warn_unused_result
public func * (lhs: UInt256, rhs: UInt256) -> UInt256 {
// TODO: - Not Implemented
return UInt256()
}
public func *= (inout lhs: UInt256, rhs: UInt256) {
lhs = lhs * rhs
}
/// Divides `lhs` and `rhs`, returning the result and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
@warn_unused_result
public func / (lhs: UInt256, rhs: UInt256) -> UInt256 {
// TODO: - Not Implemented
return UInt256()
}
public func /= (inout lhs: UInt256, rhs: UInt256) {
lhs = lhs / rhs
}
/// Divides `lhs` and `rhs`, returning the remainder and trapping in case of
/// arithmetic overflow (except in -Ounchecked builds).
@warn_unused_result
public func % (lhs: UInt256, rhs: UInt256) -> UInt256 {
// TODO: - Not Implemented
return UInt256()
}
public func %= (inout lhs: UInt256, rhs: UInt256) {
lhs = lhs % rhs
}
public extension UInt256 {
@warn_unused_result
public func toIntMax() -> IntMax {
return Int64(parts[6] << 32) + Int64(parts[7])
}
@warn_unused_result
public func toUIntMax() -> UIntMax {
return UInt64(parts[6] << 32) + UInt64(parts[7])
}
/// Adds `lhs` and `rhs`, returning the result and a `Bool` that is
/// `true` iff the operation caused an arithmetic overflow.
public static func addWithOverflow(lhs: UInt256, _ rhs: UInt256) -> (UInt256, overflow: Bool) {
var parts = [UInt32]()
var carry = false
for i in (0 ..< 8).reverse() {
let lpart = UInt64(lhs.parts[i])
let rpart = UInt64(rhs.parts[i])
let comp = lpart == UInt64(UInt32.max) && rpart == UInt64(UInt32.max)
let sum64 = lpart + rpart + (carry || comp ? 1 : 0)
let sum32 = UInt32((sum64 << 32) >> 32)
carry = sum64 > UInt64(UInt32.max)
parts.insert(sum32, atIndex: 0)
}
return (UInt256(parts), parts[0] > 0x8fffffff)
}
/// Subtracts `lhs` and `rhs`, returning the result and a `Bool` that is
/// `true` iff the operation caused an arithmetic overflow.
public static func subtractWithOverflow(lhs: UInt256, _ rhs: UInt256) -> (UInt256, overflow: Bool) {
// TODO: -
var parts = [UInt32]()
var borrow = false
var gave = false
for i in (0 ..< 8).reverse() {
borrow = lhs.parts[i] < rhs.parts[i]
let lpart = UInt64(lhs.parts[i]) - (gave ? 1 : 0) + (borrow ? UInt64(UInt32.max) : 0)
let rpart = UInt64(rhs.parts[i])
let sum64 = lpart - rpart
let sum32 = UInt32((sum64 << 32) >> 32)
gave = borrow
parts.insert(sum32, atIndex: 0)
}
return (UInt256(parts), parts[0] > 0x8fffffff)
}
/// Multiplies `lhs` and `rhs`, returning the result and a `Bool` that is
/// `true` iff the operation caused an arithmetic overflow.
public static func multiplyWithOverflow(lhs: UInt256, _ rhs: UInt256) -> (UInt256, overflow: Bool) {
// TODO: - Not Implemented
return (UInt256(), false)
}
/// Divides `lhs` and `rhs`, returning the result and a `Bool` that is
/// `true` iff the operation caused an arithmetic overflow.
public static func divideWithOverflow(lhs: UInt256, _ rhs: UInt256) -> (UInt256, overflow: Bool) {
// TODO: - Not Implemented
return (UInt256(), false)
}
/// Divides `lhs` and `rhs`, returning the remainder and a `Bool` that is
/// `true` iff the operation caused an arithmetic overflow.
public static func remainderWithOverflow(lhs: UInt256, _ rhs: UInt256) -> (UInt256, overflow: Bool) {
// TODO: - Not Implemented
return (UInt256(), false)
}
}
public struct UInt256 : UnsignedIntegerType, Comparable, Equatable {
public typealias IntegerLiteralType = UInt256
public typealias Distance = Int32
public typealias Stride = Int32
private let parts: [UInt32]
private var part0: UInt32 { return parts[0] }
private var part1: UInt32 { return parts[1] }
private var part2: UInt32 { return parts[2] }
private var part3: UInt32 { return parts[3] }
private var part4: UInt32 { return parts[4] }
private var part5: UInt32 { return parts[5] }
private var part6: UInt32 { return parts[6] }
private var part7: UInt32 { return parts[7] }
public static var max: UInt256 {
return UInt256([.max, .max, .max, .max, .max, .max, .max, .max])
}
public var description: String {
var hex = "0x"
for i in 0 ..< parts.count {
let part = parts[i]
hex += String(format:"%08X", part)
if i + 1 < parts.count {
hex += ":"
}
}
return "\(hex)"
}
public var componentDescription: String {
return "\(parts)"
}
public var hashValue: Int {
return (part0.hashValue + part1.hashValue + part2.hashValue + part3.hashValue + part4.hashValue + part5.hashValue + part6.hashValue + part7.hashValue).hashValue
}
public var data: NSData {
let bytes = [part0, part1, part2, part3, part4, part5, part6, part7]
return NSData(bytes: bytes, length: 32)
}
public init(_builtinIntegerLiteral builtinIntegerLiteral: _MaxBuiltinIntegerType) {
self.init(UInt64(_builtinIntegerLiteral: builtinIntegerLiteral))
}
public init() { parts = [0, 0, 0, 0, 0, 0, 0, 0] }
public init(_ newParts: [UInt32]) {
var zeros = UInt256().parts
zeros.replaceRange((8 - newParts.count ..< 8), with: newParts)
parts = zeros
}
public init(_ v: Int8) {
self.init(UInt64(v))
}
public init(_ v: UInt8) {
self.init(UInt64(v))
}
public init(_ v: Int16) {
self.init(UInt64(v))
}
public init(_ v: UInt16) {
self.init(UInt64(v))
}
public init(_ v: Int32) {
self.init(UInt64(v))
}
public init(_ v: UInt32) {
self.init(UInt64(v))
}
public init(_ v: Int) {
self.init(UInt64(v))
}
public init(_ v: UInt) {
self.init(UInt64(v))
}
public init(_ v: Int64) {
self.init(UInt64(v))
}
public init(_ v: UInt64) {
self.init([UInt32(v >> 32), UInt32((v << 32) >> 32)])
}
public init(integerLiteral value: IntegerLiteralType) {
parts = value.parts
}
public init?(data: NSData) {
var parts = [UInt32]()
let size = sizeof(UInt32)
for i in 0 ..< 8 {
var part = UInt32()
data.getBytes(&part, range: NSMakeRange(i * size, size))
parts.append(part)
}
guard parts.count == 8 else { return nil }
self.init(parts)
}
@warn_unused_result
public func advancedBy(n: Stride) -> UInt256 {
return self + UInt256(n)
}
@warn_unused_result
public func advancedBy(n: Distance, limit: UInt256) -> UInt256 {
return limit - UInt256(n) > self ? self + UInt256(n) : limit
}
@warn_unused_result
public func distanceTo(end: UInt256) -> Distance {
return end - self
}
/// Returns the previous consecutive value in a discrete sequence.
///
/// If `UInt256` has a well-defined successor,
/// `UInt256.successor().predecessor() == UInt256`. If `UInt256` has a
/// well-defined predecessor, `UInt256.predecessor().successor() ==
/// UInt256`.
///
/// - Requires: `UInt256` has a well-defined predecessor.
@warn_unused_result
public func predecessor() -> UInt256 {
return advancedBy(-1)
}
@warn_unused_result
public func successor() -> UInt256 {
return advancedBy(1)
}
}
extension UInt256 : BitwiseOperationsType {}
/// Returns the intersection of bits set in `lhs` and `rhs`.
///
/// - Complexity: O(1).
@warn_unused_result
public func & (lhs: UInt256, rhs: UInt256) -> UInt256 {
var parts = [UInt32]()
for i in 0 ..< 8 {
parts.append(lhs.parts[i] & rhs.parts[i])
}
return UInt256(parts)
}
/// Returns the union of bits set in `lhs` and `rhs`.
///
/// - Complexity: O(1).
@warn_unused_result
public func | (lhs: UInt256, rhs: UInt256) -> UInt256 {
var parts = [UInt32]()
for i in 0 ..< 8 {
parts.append(lhs.parts[i] | rhs.parts[i])
}
return UInt256(parts)
}
/// Returns the bits that are set in exactly one of `lhs` and `rhs`.
///
/// - Complexity: O(1).
@warn_unused_result
public func ^ (lhs: UInt256, rhs: UInt256) -> UInt256 {
var parts = [UInt32]()
for i in 0 ..< 8 {
parts.append(lhs.parts[i] ^ rhs.parts[i])
}
return UInt256(parts)
}
/// Returns `x ^ ~UInt256.allZeros`.
///
/// - Complexity: O(1).
@warn_unused_result
prefix public func ~ (x: UInt256) -> UInt256 {
return x ^ ~UInt256.allZeros
}
public extension UInt256 {
public static var allZeros: UInt256 {
return UInt256()
}
}
public extension NSCoder {
public func encodeUInt256(unsignedInteger: UInt256, forKey key: String) {
encodeObject(unsignedInteger.data, forKey: key)
}
public func decodeUInt256ForKey(key: String) -> UInt256 {
guard let data = decodeObjectForKey(key) as? NSData else { return UInt256() }
return UInt256(data: data) ?? UInt256()
}
}