//===----------------------------------------------------------------------===// // // This source file is part of the Swift.org open source project // // Copyright (c) 2024 Apple Inc. and the Swift project authors // Licensed under Apache License v2.0 with Runtime Library Exception // // See https://swift.org/LICENSE.txt for license information // See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors // //===----------------------------------------------------------------------===// // MARK: Memory layout /// A 128-bit unsigned integer value type. @available(SwiftStdlib 6.0, *) @frozen public struct UInt128: Sendable { #if _pointerBitWidth(_64) || arch(arm64_32) // On 64-bit platforms (including arm64_32 and any similar targets with // 32b pointers but HW-backed 64b integers), the layout is simply that // of `Builtin.Int128`. public var _value: Builtin.Int128 @available(SwiftStdlib 6.0, *) @_transparent public init(_ _value: Builtin.Int128) { self._value = _value } @available(SwiftStdlib 6.0, *) @_transparent public var _low: UInt64 { UInt64(Builtin.trunc_Int128_Int64(_value)) } @available(SwiftStdlib 6.0, *) @_transparent public var _high: UInt64 { let shifted: UInt128 = self &>> 64 return UInt64(Builtin.trunc_Int128_Int64(shifted._value)) } @available(SwiftStdlib 6.0, *) @_transparent public init(_low: UInt64, _high: UInt64) { #if _endian(little) self = unsafe unsafeBitCast((_low, _high), to: Self.self) #else self = unsafe unsafeBitCast((_high, _low), to: Self.self) #endif } #else // On 32-bit platforms, we don't want to use Builtin.Int128 for layout // because it would be 16B aligned, which is excessive for such targets // (and generally incompatible with C's `_BitInt(128)`). Instead we lay // out the type as two `UInt64` fields--note that we have to be careful // about endianness in this case. #if _endian(little) public var _low: UInt64 public var _high: UInt64 #else public var _high: UInt64 public var _low: UInt64 #endif @available(SwiftStdlib 6.0, *) @_transparent public init(_low: UInt64, _high: UInt64) { self._low = _low self._high = _high } @available(SwiftStdlib 6.0, *) public var _value: Builtin.Int128 { @_transparent get { unsafe unsafeBitCast(self, to: Builtin.Int128.self) } @_transparent set { self = Self(newValue) } } @available(SwiftStdlib 6.0, *) @_transparent public init(_ _value: Builtin.Int128) { self = unsafe unsafeBitCast(_value, to: Self.self) } #endif /// Creates a new instance with the same memory representation as the given /// value. /// /// This initializer does not perform any range or overflow checking. The /// resulting instance may not have the same numeric value as /// `bitPattern`---it is only guaranteed to use the same pattern of bits in /// its binary representation. /// /// - Parameter bitPattern: A value to use as the source of the new instance's /// binary representation. @available(SwiftStdlib 6.0, *) @_transparent public init(bitPattern: Int128) { self.init(bitPattern._value) } } // MARK: - Constants @available(SwiftStdlib 6.0, *) extension UInt128 { @available(SwiftStdlib 6.0, *) @_transparent public static var zero: Self { Self(Builtin.zeroInitializer()) } @available(SwiftStdlib 6.0, *) @_transparent public static var min: Self { zero } @available(SwiftStdlib 6.0, *) @_transparent public static var max: Self { Self(_low: .max, _high: .max) } } // MARK: - Conversions from other integers @available(SwiftStdlib 6.0, *) extension UInt128: ExpressibleByIntegerLiteral, _ExpressibleByBuiltinIntegerLiteral { @available(SwiftStdlib 6.0, *) public typealias IntegerLiteralType = Self @available(SwiftStdlib 6.0, *) @_transparent public init(_builtinIntegerLiteral x: Builtin.IntLiteral) { self.init(Builtin.s_to_u_checked_trunc_IntLiteral_Int128(x).0) } @available(SwiftStdlib 6.0, *) @inlinable public init?(exactly source: T) where T: BinaryInteger { guard let high = UInt64(exactly: source >> 64) else { return nil } let low = UInt64(truncatingIfNeeded: source) self.init(_low: low, _high: high) } @available(SwiftStdlib 6.0, *) @inlinable public init(_ source: T) where T: BinaryInteger { guard let value = Self(exactly: source) else { fatalError("value cannot be converted to UInt128 because it is outside the representable range") } self = value } @available(SwiftStdlib 6.0, *) @inlinable public init(clamping source: T) where T: BinaryInteger { guard let value = Self(exactly: source) else { self = source < .zero ? .zero : .max return } self = value } @available(SwiftStdlib 6.0, *) @inlinable public init(truncatingIfNeeded source: T) where T: BinaryInteger { let high = UInt64(truncatingIfNeeded: source >> 64) let low = UInt64(truncatingIfNeeded: source) self.init(_low: low, _high: high) } @available(SwiftStdlib 6.0, *) @_transparent public init(_truncatingBits source: UInt) { self.init(_low: UInt64(source), _high: .zero) } } // MARK: - Conversions from Binary floating-point @available(SwiftStdlib 6.0, *) extension UInt128 { @available(SwiftStdlib 6.0, *) @inlinable public init?(exactly source: T) where T: BinaryFloatingPoint { let highAsFloat = (source * 0x1.0p-64).rounded(.towardZero) guard let high = UInt64(exactly: highAsFloat) else { return nil } guard let low = UInt64( exactly: high == 0 ? source : source - 0x1.0p64*highAsFloat ) else { return nil } self.init(_low: low, _high: high) } @available(SwiftStdlib 6.0, *) @inlinable public init(_ source: T) where T: BinaryFloatingPoint { guard let value = Self(exactly: source.rounded(.towardZero)) else { fatalError("value cannot be converted to UInt128 because it is outside the representable range") } self = value } } // MARK: - Non-arithmetic utility conformances @available(SwiftStdlib 6.0, *) extension UInt128: Equatable { @available(SwiftStdlib 6.0, *) @_transparent public static func ==(a: Self, b: Self) -> Bool { Bool(Builtin.cmp_eq_Int128(a._value, b._value)) } } @available(SwiftStdlib 6.0, *) extension UInt128: Comparable { @available(SwiftStdlib 6.0, *) @_transparent public static func <(a: Self, b: Self) -> Bool { Bool(Builtin.cmp_ult_Int128(a._value, b._value)) } } @available(SwiftStdlib 6.0, *) extension UInt128: Hashable { @available(SwiftStdlib 6.0, *) @inlinable public func hash(into hasher: inout Hasher) { hasher.combine(_low) hasher.combine(_high) } } // MARK: - Overflow-reporting arithmetic @available(SwiftStdlib 6.0, *) extension UInt128 { @available(SwiftStdlib 6.0, *) @_transparent public func addingReportingOverflow( _ other: Self ) -> (partialValue: Self, overflow: Bool) { let (result, overflow) = Builtin.uadd_with_overflow_Int128( self._value, other._value, Builtin.zeroInitializer() ) return (Self(result), Bool(overflow)) } @available(SwiftStdlib 6.0, *) @_transparent public func subtractingReportingOverflow( _ other: Self ) -> (partialValue: Self, overflow: Bool) { let (result, overflow) = Builtin.usub_with_overflow_Int128( self._value, other._value, Builtin.zeroInitializer() ) return (Self(result), Bool(overflow)) } @available(SwiftStdlib 6.0, *) @_transparent public func multipliedReportingOverflow( by other: Self ) -> (partialValue: Self, overflow: Bool) { let (result, overflow) = Builtin.umul_with_overflow_Int128( self._value, other._value, Builtin.zeroInitializer() ) return (Self(result), Bool(overflow)) } @available(SwiftStdlib 6.0, *) @_transparent public func dividedReportingOverflow( by other: Self ) -> (partialValue: Self, overflow: Bool) { if _slowPath(other == .zero) { return (self, true) } // Unsigned divide never overflows. return (Self(Builtin.udiv_Int128(self._value, other._value)), false) } @available(SwiftStdlib 6.0, *) @_transparent public func remainderReportingOverflow( dividingBy other: Self ) -> (partialValue: Self, overflow: Bool) { if _slowPath(other == .zero) { return (self, true) } // Unsigned divide never overflows. return (Self(Builtin.urem_Int128(self._value, other._value)), false) } } // MARK: - AdditiveArithmetic conformance @available(SwiftStdlib 6.0, *) extension UInt128: AdditiveArithmetic { @available(SwiftStdlib 6.0, *) @_transparent public static func +(a: Self, b: Self) -> Self { let (result, overflow) = a.addingReportingOverflow(b) // On arm64, this check materializes the carryout in register, then does // a TBNZ, where we should get a b.cs instead. I filed rdar://115387277 // to track this, but it only costs us one extra instruction, so we'll // keep it as is for now. Builtin.condfail_message( overflow._value, StaticString("arithmetic overflow").unsafeRawPointer ) return result } @available(SwiftStdlib 6.0, *) @_transparent public static func -(a: Self, b: Self) -> Self { let (result, overflow) = a.subtractingReportingOverflow(b) Builtin.condfail_message( overflow._value, StaticString("arithmetic overflow").unsafeRawPointer ) return result } } // MARK: - Multiplication and division @available(SwiftStdlib 6.0, *) extension UInt128 { @available(SwiftStdlib 6.0, *) @_transparent public static func *(a: Self, b: Self) -> Self { let (result, overflow) = a.multipliedReportingOverflow(by: b) Builtin.condfail_message( overflow._value, StaticString("arithmetic overflow").unsafeRawPointer ) return result } @available(SwiftStdlib 6.0, *) @_transparent public static func *=(a: inout Self, b: Self) { a = a * b } @available(SwiftStdlib 6.0, *) @_transparent public static func /(a: Self, b: Self) -> Self { if _slowPath(b == .zero) { _preconditionFailure("Division by zero") } // Unsigned divide never overflows. return Self(Builtin.udiv_Int128(a._value, b._value)) } @available(SwiftStdlib 6.0, *) @_transparent public static func /=(a: inout Self, b: Self) { a = a / b } @available(SwiftStdlib 6.0, *) @_transparent public static func %(a: Self, b: Self) -> Self { if _slowPath(b == .zero) { _preconditionFailure("Division by zero in remainder operation") } // Unsigned divide never overflows. return Self(Builtin.urem_Int128(a._value, b._value)) } @available(SwiftStdlib 6.0, *) @_transparent public static func %=(a: inout Self, b: Self) { a = a % b } } // MARK: - Numeric conformance @available(SwiftStdlib 6.0, *) extension UInt128: Numeric { @available(SwiftStdlib 6.0, *) public typealias Magnitude = Self @available(SwiftStdlib 6.0, *) @_transparent public var magnitude: Self { self } } // MARK: - BinaryInteger conformance @available(SwiftStdlib 6.0, *) extension UInt128: BinaryInteger { @available(SwiftStdlib 6.0, *) @frozen public struct Words { @usableFromInline let _value: UInt128 @available(SwiftStdlib 6.0, *) @_transparent public init(_value: UInt128) { self._value = _value } } @available(SwiftStdlib 6.0, *) @_transparent public var words: Words { Words(_value: self) } @available(SwiftStdlib 6.0, *) @_transparent public static func &=(a: inout Self, b: Self) { a._value = Builtin.and_Int128(a._value, b._value) } @available(SwiftStdlib 6.0, *) @_transparent public static func |=(a: inout Self, b: Self) { a._value = Builtin.or_Int128(a._value, b._value) } @available(SwiftStdlib 6.0, *) @_transparent public static func ^=(a: inout Self, b: Self) { a._value = Builtin.xor_Int128(a._value, b._value) } @available(SwiftStdlib 6.0, *) @_transparent public static func &>>=(a: inout Self, b: Self) { let masked = b & 127 a._value = Builtin.lshr_Int128(a._value, masked._value) } @available(SwiftStdlib 6.0, *) @_transparent public static func &<<=(a: inout Self, b: Self) { let masked = b & 127 a._value = Builtin.shl_Int128(a._value, masked._value) } @available(SwiftStdlib 6.0, *) @_transparent public var trailingZeroBitCount: Int { _low == 0 ? 64 + _high.trailingZeroBitCount : _low.trailingZeroBitCount } @available(SwiftStdlib 6.0, *) @_transparent public var _lowWord: UInt { #if _pointerBitWidth(_64) UInt(Builtin.trunc_Int128_Int64(_value)) #elseif _pointerBitWidth(_32) UInt(Builtin.trunc_Int128_Int32(_value)) #elseif _pointerBitWidth(_16) UInt(Builtin.trunc_Int128_Int16(_value)) #else #error("Unsupported platform") #endif } } @available(SwiftStdlib 6.0, *) extension UInt128.Words: RandomAccessCollection { @available(SwiftStdlib 6.0, *) public typealias Element = UInt @available(SwiftStdlib 6.0, *) public typealias Index = Int @available(SwiftStdlib 6.0, *) public typealias SubSequence = Slice @available(SwiftStdlib 6.0, *) public typealias Indices = Range @available(SwiftStdlib 6.0, *) @_transparent public var count: Int { 128 / UInt.bitWidth } @available(SwiftStdlib 6.0, *) @_transparent public var startIndex: Int { 0 } @available(SwiftStdlib 6.0, *) @_transparent public var endIndex: Int { count } @available(SwiftStdlib 6.0, *) @_transparent public var indices: Indices { startIndex ..< endIndex } @available(SwiftStdlib 6.0, *) @_transparent public func index(after i: Int) -> Int { i + 1 } @available(SwiftStdlib 6.0, *) @_transparent public func index(before i: Int) -> Int { i - 1 } @available(SwiftStdlib 6.0, *) public subscript(position: Int) -> UInt { @inlinable get { _precondition(position >= 0 && position < count, "Index out of bounds") var value = _value #if _endian(little) let index = position #else let index = count - 1 - position #endif return unsafe _withUnprotectedUnsafePointer(to: &value) { unsafe $0.withMemoryRebound(to: UInt.self, capacity: count) { unsafe $0[index] } } } } } // MARK: - FixedWidthInteger conformance @available(SwiftStdlib 6.0, *) extension UInt128: FixedWidthInteger, UnsignedInteger { @available(SwiftStdlib 6.0, *) @_transparent public static var bitWidth: Int { 128 } @available(SwiftStdlib 6.0, *) @_transparent public var nonzeroBitCount: Int { _high.nonzeroBitCount &+ _low.nonzeroBitCount } @available(SwiftStdlib 6.0, *) @_transparent public var leadingZeroBitCount: Int { _high == 0 ? 64 + _low.leadingZeroBitCount : _high.leadingZeroBitCount } @available(SwiftStdlib 6.0, *) @_transparent public var byteSwapped: Self { return Self(_low: _high.byteSwapped, _high: _low.byteSwapped) } } // MARK: - Integer comparison type inference @available(SwiftStdlib 6.0, *) extension UInt128 { // IMPORTANT: The following four apparently unnecessary overloads of // comparison operations are necessary for literal comparands to be // inferred as the desired type. @_transparent @_alwaysEmitIntoClient public static func != (lhs: Self, rhs: Self) -> Bool { return !(lhs == rhs) } @_transparent @_alwaysEmitIntoClient public static func <= (lhs: Self, rhs: Self) -> Bool { return !(rhs < lhs) } @_transparent @_alwaysEmitIntoClient public static func >= (lhs: Self, rhs: Self) -> Bool { return !(lhs < rhs) } @_transparent @_alwaysEmitIntoClient public static func > (lhs: Self, rhs: Self) -> Bool { return rhs < lhs } }