From 793a7fac0bfc318e85994bf6900652e827aef33e Mon Sep 17 00:00:00 2001 From: Tim Gymnich Date: Tue, 2 Jul 2024 15:02:05 +0200 Subject: [PATCH] Revert docc related changes from "Migrate from xcworkspace to swift package (#119)" This reverts the docc related changes in commit 5f01bdc8441b657869b2dc37f719d66dd9a27180. --- .github/workflows/docs.yml | 27 - .github/workflows/jazzy.yml | 29 + .jazzy.yml | 8 + .spi.yml | 2 +- Package.swift | 3 - README.md | 42 +- docs/Extensions.html | 173 + docs/Extensions/BinaryFloatingPoint.html | 194 + docs/Extensions/String.html | 244 ++ docs/Structs.html | 230 ++ docs/Structs/BigInt.html | 2547 +++++++++++++ docs/Structs/BigInt/Sign.html | 189 + docs/Structs/BigInt/Words.html | 302 ++ docs/Structs/BigUInt.html | 3255 +++++++++++++++++ docs/Structs/BigUInt/Words.html | 215 ++ docs/badge.svg | 28 + docs/css/chunk-c0335d80.10a2f091.css | 9 - docs/css/documentation-topic.1d1eec04.css | 9 - .../documentation-topic~topic.b6287bcf.css | 9 - 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docs/js/jazzy.js create mode 100644 docs/js/jazzy.search.js create mode 100644 docs/js/jquery.min.js create mode 100644 docs/js/lunr.min.js delete mode 100644 docs/js/topic.8cd0c0c4.js delete mode 100644 docs/js/tutorials-overview.2a32cd6f.js create mode 100644 docs/js/typeahead.jquery.js delete mode 100644 docs/metadata.json create mode 100644 docs/search.json create mode 100644 docs/undocumented.json diff --git a/.github/workflows/docs.yml b/.github/workflows/docs.yml deleted file mode 100644 index eba214c..0000000 --- a/.github/workflows/docs.yml +++ /dev/null @@ -1,27 +0,0 @@ -name: Docs - -on: - push: - tags: - - '*' - -jobs: - macos: - runs-on: macos-latest - steps: - - uses: actions/checkout@v4 - - name: Generate documentation - run: | - swift package --allow-writing-to-directory docs generate-documentation \ - --target BigInt \ - --disable-indexing \ - --output-path docs \ - --hosting-base-path BigInt \ - --transform-for-static-hosting - - name: Commit docs - run: | - git config --local user.email "bot@github.com" - git config --local user.name "GitHub Actions" - git add ./docs - git commit -m "Update docs" - git push origin HEAD:master diff --git a/.github/workflows/jazzy.yml b/.github/workflows/jazzy.yml new file mode 100644 index 0000000..4ae6fb7 --- /dev/null +++ b/.github/workflows/jazzy.yml @@ -0,0 +1,29 @@ +name: Swift + +on: + push: + tags: + - '*' + +jobs: + macos: + runs-on: macos-latest + steps: + - uses: actions/checkout@v2 + - name: Install jazzy + run: gem install jazzy + - name: Generate documentation + run: | + jazzy \ + --clean \ + --github-file-prefix "https://github.com/attaswift/$module/tree/${GITHUB_REF}" \ + --module-version "${{ github.event.release.tag_name }}" \ + --copyright "© $(date '+%Y') [Károly Lőrentey](https://twitter.com/lorentey). (Last updated: $(date '+%Y-%m-%d'))" \ + --config .jazzy.yml + - name: Commit docs + run: | + git config --local user.email "bot@github.com" + git config --local user.name "GitHub Actions" + git add ./docs + git commit -m "Update docs" + git push origin HEAD:master diff --git a/.jazzy.yml b/.jazzy.yml new file mode 100644 index 0000000..3698439 --- /dev/null +++ b/.jazzy.yml @@ -0,0 +1,8 @@ +module: BigInt +author: Károly Lőrentey +theme: fullwidth +output: ./docs +author_url: "https://twitter.com/lorentey" +github_url: "https://github.com/attaswift/BigInt" +root_url: "https://attaswift.github.io/BigInt/reference/" +xcodebuild_arguments: ["-workspace", "BigInt.xcworkspace", "-scheme", "BigInt-macOS"] \ No newline at end of file diff --git a/.spi.yml b/.spi.yml index f06db42..87745d7 100644 --- a/.spi.yml +++ b/.spi.yml @@ -1,3 +1,3 @@ version: 1 external_links: - documentation: "https://attaswift.github.io/BigInt/documentation/bigint/" + documentation: "https://attaswift.github.io/BigInt/" diff --git a/Package.swift b/Package.swift index 7aa3db5..df71ed9 100644 --- a/Package.swift +++ b/Package.swift @@ -22,9 +22,6 @@ let package = Package( products: [ .library(name: "BigInt", targets: ["BigInt"]) ], - dependencies: [ - .package(url: "https://github.com/apple/swift-docc-plugin", from: "1.0.0"), - ], targets: [ .target(name: "BigInt", path: "Sources"), .testTarget(name: "BigIntTests", dependencies: ["BigInt"], path: "Tests") diff --git a/README.md b/README.md index d54c15d..9e9adf4 100644 --- a/README.md +++ b/README.md @@ -85,7 +85,7 @@ in it. ## API Documentation -Generated API docs are available at https://attaswift.github.io/BigInt/documentation/bigint/. +Generated API docs are available at https://attaswift.github.io/BigInt/. ## License @@ -150,20 +150,34 @@ generic variant that was slower but more flexible. [license]: https://github.com/attaswift/BigInt/blob/master/LICENSE.md [twitter]: https://twitter.com/lorentey -[BigInt]: https://attaswift.github.io/BigInt/documentation/bigint/bigint -[BigUInt]: https://attaswift.github.io/BigInt/documentation/bigint/biguint -[hashing]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/hashable-implementations -[addition]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/additivearithmetic-implementations -[mul]: https://attaswift.github.io/BigInt/documentation/bigint/biguint/multiplied(by:) -[width]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/bitwidth -[leadingZeroBitCount]: https://attaswift.github.io/BigInt/documentation/bigint/biguint/leadingzerobitcount -[trailingZeroBitCount]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/trailingzerobitcount +[BigUInt]: http://attaswift.github.io/BigInt/Structs/BigUInt.html +[BigInt]: http://attaswift.github.io/BigInt/Structs/BigInt.html +[comparison]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Comparison +[hashing]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Hashing +[addition]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Addition +[subtraction]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Subtraction +[mul]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:ZFV6BigInt7BigUIntoi1mFTS0_S0__S0_ +[fused]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUInt14multiplyAndAddFTS0_Vs6UInt6410atPositionSi_T_ +[multiplication]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Multiplication +[division]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Division +[divide]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUInt7dividedFT2byS0__T8quotientS0_9remainderS0__ +[bitwise]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Bitwise%20Operations +[width]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:vV6BigInt7BigUInt5widthSi +[leadingZeroBitCount]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:vV6BigInt7BigUInt13leadingZeroBitCountSi +[trailingZeroBitCount]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:vV6BigInt7BigUInt14trailingZeroBitCountSi +[shift]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Shift%20Operators +[data]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/NSData%20Conversion +[random]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Random%20Integers +[radix1]: http://attaswift.github.io/BigInt/Extensions/String.html#/s:FE6BigIntSScFTVS_7BigUInt5radixSi9uppercaseSb_SS +[radix2]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUIntcFTSS5radixSi_GSqS0__ [sqrt]: http://attaswift.github.io/BigInt/Functions.html#/s:F6BigInt4sqrtFVS_7BigUIntS0_ -[GCD]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/greatestcommondivisor(with:) -[powmod]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/power(_:modulus:) -[power]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/power(_:) -[inverse]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/inverse(_:) -[prime]: https://attaswift.github.io/BigInt/documentation/bigint/bigint/isprime(rounds:) +[GCD]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:ZFV6BigInt7BigUInt3gcdFTS0_S0__S0_ +[powmod]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUInt5powerFTS0_7modulusS0__S0_ +[power]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUInt5powerFSiS0_ +[inverse]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/s:FV6BigInt7BigUInt7inverseFS0_GSqS0__ +[prime]: http://attaswift.github.io/BigInt/Structs/BigUInt.html#/Primality%20Testing +[abs]: http://attaswift.github.io/BigInt/Structs/BigInt.html#/s:vV6BigInt6BigInt3absVS_7BigUInt +[negative]: http://attaswift.github.io/BigInt/Structs/BigInt.html#/s:vV6BigInt6BigInt8negativeSb [subscript]: https://github.com/attaswift/BigInt/blob/v2.0.0/Sources/BigUInt.swift#L216-L239 [fullmuldiv]: https://github.com/attaswift/BigInt/blob/v2.0.0/Sources/BigDigit.swift#L96-L167 diff --git a/docs/Extensions.html b/docs/Extensions.html new file mode 100644 index 0000000..d64d667 --- /dev/null +++ b/docs/Extensions.html @@ -0,0 +1,173 @@ + + + + Extensions Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Extensions Reference +

+ +
+ +
+ +
+
+

Extensions

+

The following extensions are available globally.

+ +
+
+ +
+
+
+
    +
  • +
    + + + + BinaryFloatingPoint + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    extension BinaryFloatingPoint where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger
    + +
    +
    +
    +
    +
    • +
  • +
    + + + + String + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    extension String
    + +
    +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Extensions/BinaryFloatingPoint.html b/docs/Extensions/BinaryFloatingPoint.html new file mode 100644 index 0000000..f1eb550 --- /dev/null +++ b/docs/Extensions/BinaryFloatingPoint.html @@ -0,0 +1,194 @@ + + + + BinaryFloatingPoint Extension Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BinaryFloatingPoint Extension Reference +

+ +
+ +
+ +
+
+

BinaryFloatingPoint

+
+
+ + 
extension BinaryFloatingPoint where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger
+ +
+
+ +
+
+ +
+
+
+
+ + +
+ +

Available where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger

+

+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Extensions/String.html b/docs/Extensions/String.html new file mode 100644 index 0000000..5b17bad --- /dev/null +++ b/docs/Extensions/String.html @@ -0,0 +1,244 @@ + + + + String Extension Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + String Extension Reference +

+ +
+ +
+ +
+
+

String

+
+
+ + 
extension String
+ +
+
+ +
+
+ +
+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new string with the base-10 representation of an unsigned big integer.

    +
    +

    Complexity

    + O(v.count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ v: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new string representing an unsigned big integer in the given radix (base).

    + +

    Numerals greater than 9 are represented as letters from the English alphabet, +starting with a if uppercase is false or A otherwise.

    +
    +

    Requires

    + radix > 1 && radix <= 36 + +
    +

    Complexity

    + O(count) when radix is a power of two; otherwise O(count^2). + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new string representing a signed big integer in the given radix (base).

    + +

    Numerals greater than 9 are represented as letters from the English alphabet, +starting with a if uppercase is false or A otherwise.

    +
    +

    Requires

    + radix > 1 && radix <= 36 + +
    +

    Complexity

    + O(count) when radix is a power of two; otherwise O(count^2). + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs.html b/docs/Structs.html new file mode 100644 index 0000000..4cadc0c --- /dev/null +++ b/docs/Structs.html @@ -0,0 +1,230 @@ + + + + Structures Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Structures Reference +

+ +
+ +
+ +
+
+

Structures

+

The following structures are available globally.

+ +
+
+ +
+
+
+
    +
  • +
    + + + + BigUInt + +
    +
    +
    +
    +
    +
    +

    An arbitary precision unsigned integer type, also known as a “big integer”.

    + +

    Operations on big integers never overflow, but they may take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

    + +

    This particular big integer type uses base-2^64 digits to represent integers; you can think of it as a wrapper +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct BigUInt : UnsignedInteger
    +
    extension BigUInt: Codable
    +
    extension BigUInt: Comparable
    +
    extension BigUInt: Hashable
    +
    extension BigUInt: ExpressibleByIntegerLiteral
    +
    extension BigUInt: Strideable
    +
    extension BigUInt: ExpressibleByStringLiteral
    +
    extension BigUInt: CustomStringConvertible
    +
    extension BigUInt: CustomPlaygroundDisplayConvertible
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

BigInt

+

+
+
+
    +
  • +
    + + + + BigInt + +
    +
    +
    +
    +
    +
    +

    An arbitary precision signed integer type, also known as a “big integer”.

    + +

    Operations on big integers never overflow, but they might take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

    + +

    This particular big integer type uses base-2^64 digits to represent integers.

    + +

    BigInt is essentially a tiny wrapper that extends BigUInt with a sign bit and provides signed integer +operations. Both the underlying absolute value and the negative/positive flag are available as read-write +properties.

    + +

    Not all algorithms of BigUInt are available for BigInt values; for example, there is no square root or +primality test for signed integers. When you need to call one of these, just extract the absolute value:

    +
    BigInt(255).magnitude.isPrime()   // Returns false
+
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct BigInt : SignedInteger
    +
    extension BigInt: Codable
    +
    extension BigInt: Comparable
    +
    extension BigInt: Hashable
    +
    extension BigInt: ExpressibleByIntegerLiteral
    +
    extension BigInt: Strideable
    +
    extension BigInt: ExpressibleByStringLiteral
    +
    extension BigInt: CustomStringConvertible
    +
    extension BigInt: CustomPlaygroundDisplayConvertible
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs/BigInt.html b/docs/Structs/BigInt.html new file mode 100644 index 0000000..a0a099b --- /dev/null +++ b/docs/Structs/BigInt.html @@ -0,0 +1,2547 @@ + + + + BigInt Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigInt Structure Reference +

+ +
+ +
+ +
+
+

BigInt

+
+
+ + 
public struct BigInt : SignedInteger
+
extension BigInt: Codable
+
extension BigInt: Comparable
+
extension BigInt: Hashable
+
extension BigInt: ExpressibleByIntegerLiteral
+
extension BigInt: Strideable
+
extension BigInt: ExpressibleByStringLiteral
+
extension BigInt: CustomStringConvertible
+
extension BigInt: CustomPlaygroundDisplayConvertible
+ +
+
+

An arbitary precision signed integer type, also known as a “big integer”.

+ +

Operations on big integers never overflow, but they might take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

+ +

This particular big integer type uses base-2^64 digits to represent integers.

+ +

BigInt is essentially a tiny wrapper that extends BigUInt with a sign bit and provides signed integer +operations. Both the underlying absolute value and the negative/positive flag are available as read-write +properties.

+ +

Not all algorithms of BigUInt are available for BigInt values; for example, there is no square root or +primality test for signed integers. When you need to call one of these, just extract the absolute value:

+
BigInt(255).magnitude.isPrime()   // Returns false
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Sign + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public enum Sign
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Magnitude + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Magnitude = BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Word + +
    +
    +
    +
    +
    +
    +

    The type representing a digit in BigInt‘s underlying number system.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Word = BigUInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isSigned + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var isSigned: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + magnitude + +
    +
    +
    +
    +
    +
    +

    The absolute value of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var magnitude: BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + sign + +
    +
    +
    +
    +
    +
    +

    True iff the value of this integer is negative.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var sign: Sign
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(sign:magnitude:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new big integer with the provided absolute number and sign flag.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(sign: Sign, magnitude: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isZero + +
    +
    +
    +
    +
    +
    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var isZero: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + signum() + +
    +
    +
    +
    +
    +
    +

    Returns -1 if this value is negative and 1 if it’s positive; otherwise, 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func signum() -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    The sign of this number, expressed as an integer of the same type.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a to b and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func + (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add b to a in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func += (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Bitwise Operations

+

+
+
+
    +
  • +
    + + + + ~(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public prefix static func ~ (x: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func & (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func | (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^ (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func |= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(from:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(from decoder: Decoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + encode(to:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func encode(to encoder: Encoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ==(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is equal to b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func == (a: BigInt, b: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is less than b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func < (a: BigInt, b: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer, +where the first byte indicates sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ buffer: UnsafeRawBufferPointer)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes an integer from the bits stored inside a piece of Data. +The data is assumed to be in network (big-endian) byte order with a first +byte to represent the sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ data: Data)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + serialize() + +
    +
    +
    +
    +
    +
    +

    Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order and a prepended byte to indicate the sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func serialize() -> Data
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Full-width multiplication and division

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Divide this integer by y and return the resulting quotient and remainder.

    +
    +

    Requires

    + y > 0 + +
    +

    Complexity

    + O(count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func quotientAndRemainder(dividingBy y: BigInt) -> (quotient: BigInt, remainder: BigInt)
    + +
    +
    +
    +

    Return Value

    +

    (quotient, remainder) where quotient = floor(self/y), remainder = self - quotient * y

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b and return the quotient. Traps if b is zero.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func / (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b and return the remainder. The result has the same sign as a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func % (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + modulus(_:) + +
    +
    +
    +
    +
    +
    +

    Return the result of a mod b. The result is always a nonnegative integer that is less than the absolute value of b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func modulus(_ mod: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b storing the quotient in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func /= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b storing the remainder in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func %= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:) + +
    +
    +
    +
    +
    +
    +

    Returns this integer raised to the power exponent.

    + +

    This function calculates the result by successively squaring the base while halving the exponent.

    +
    +

    Note

    + This function can be unreasonably expensive for large exponents, which is why exponent is + a simple integer value. If you want to calculate big exponents, you’ll probably need to use + the modulo arithmetic variant. + +
    +

    See also

    + BigUInt.power(_:, modulus:) + +
    +

    Complexity

    + O((exponent * self.count)^log2(3)) or somesuch. The result may require a large amount of memory, too. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: Int) -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    1 if exponent == 0, otherwise self raised to exponent. (This implies that 0.power(0) == 1.)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:modulus:) + +
    +
    +
    +
    +
    +
    +

    Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

    + +

    Uses the right-to-left binary method.

    +
    +

    Complexity

    + O(exponent.count * modulus.count^log2(3)) or somesuch + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: BigInt, modulus: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Returns the greatest common divisor of a and b.

    +
    +

    Complexity

    + O(count^2) where count = max(a.count, b.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func greatestCommonDivisor(with b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + inverse(_:) + +
    +
    +
    +
    +
    +
    +

    Returns the multiplicative inverse of this integer in modulo modulus arithmetic, +or nil if there is no such number.

    +
    +

    Requires

    + modulus.magnitude > 1 + +
    +

    Complexity

    + O(count^3) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func inverse(_ modulus: BigInt) -> BigInt?
    + +
    +
    +
    +

    Return Value

    +

    If gcd(self, modulus) == 1, the value returned is an integer a < modulus such that (a * self) % modulus == 1. If self and modulus aren’t coprime, the return value is nil.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + hash(into:) + +
    +
    +
    +
    +
    +
    +

    Append this BigInt to the specified hasher.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func hash(into hasher: inout Hasher)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init() + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new signed big integer with the same value as the specified unsigned big integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ integer: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(clamping:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(clamping source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(truncatingIfNeeded source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(integerLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from an integer literal.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(integerLiteral value: Int64)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a with b and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func * (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a with b in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func *= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Primality Testing

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns true iff this integer passes the strong probable prime test for the specified base.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isStrongProbablePrime(_ base: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isPrime(rounds:) + +
    +
    +
    +
    +
    +
    +

    Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

    + +

    This function performs a probabilistic Miller-Rabin Primality Test, consisting of rounds iterations, +each calculating the strong probable prime test for a random base. The number of rounds is 10 by default, +but you may specify your own choice.

    + +

    To speed things up, the function checks if self is divisible by the first few prime numbers before +diving into (slower) Miller-Rabin testing.

    + +

    Also, when self is less than 82 bits wide, isPrime does a deterministic test that is guaranteed to +return a correct result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isPrime(rounds: Int = 10) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &<<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &<< (left: BigInt, right: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &<<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &<<= (left: inout BigInt, right: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &>>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &>> (left: BigInt, right: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &>>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &>>= (left: inout BigInt, right: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func << <Other>(lhs: BigInt, rhs: Other) -> BigInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func <<= <Other>(lhs: inout BigInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >> <Other>(lhs: BigInt, rhs: Other) -> BigInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >>= <Other>(lhs: inout BigInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Square Root

+

+
+
+
    +
  • +
    + + + + squareRoot() + +
    +
    +
    +
    +
    +
    +

    Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

    +
    +

    Requires

    + self >= 0 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func squareRoot() -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    floor(sqrt(self))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Stride + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Stride = BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + advanced(by:) + +
    +
    +
    +
    +
    +
    +

    Returns self + n.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func advanced(by n: Stride) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + distance(to:) + +
    +
    +
    +
    +
    +
    +

    Returns other - self.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func distance(to other: BigInt) -> Stride
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:radix:) + +
    +
    +
    +
    +
    +
    +

    Initialize a big integer from an ASCII representation in a given radix. Numerals above 9 are represented by +letters from the English alphabet.

    +
    +

    Requires

    + radix > 1 && radix < 36 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<S>(_ text: S, radix: Int = 10) where S : StringProtocol
    + +
    +
    +
    +

    Return Value

    +

    The integer represented by text, or nil if text contains a character that does not represent a numeral in radix.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from a Unicode scalar. +The scalar must represent a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(unicodeScalarLiteral value: UnicodeScalar)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from an extended grapheme cluster. +The cluster must consist of a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(extendedGraphemeClusterLiteral value: String)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(stringLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from a decimal number represented by a string literal of arbitrary length. +The string must contain only decimal digits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(stringLiteral value: StringLiteralType)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + description + +
    +
    +
    +
    +
    +
    +

    Return the decimal representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var description: String { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + playgroundDescription + +
    +
    +
    +
    +
    +
    +

    Return the playground quick look representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var playgroundDescription: Any { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + negate() + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func negate()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func - (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func -= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + bitWidth + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var bitWidth: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + trailingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var trailingZeroBitCount: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Words + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct Words : RandomAccessCollection
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + words + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var words: Words { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<S>(words: S) where S : Sequence, S.Element == BigInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs/BigInt/Sign.html b/docs/Structs/BigInt/Sign.html new file mode 100644 index 0000000..2bf5e4c --- /dev/null +++ b/docs/Structs/BigInt/Sign.html @@ -0,0 +1,189 @@ + + + + Sign Enumeration Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Sign Enumeration Reference +

+ +
+ +
+ +
+
+

Sign

+
+
+ + 
public enum Sign
+ +
+
+

Undocumented

+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + plus + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    case plus
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + minus + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    case minus
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs/BigInt/Words.html b/docs/Structs/BigInt/Words.html new file mode 100644 index 0000000..07637af --- /dev/null +++ b/docs/Structs/BigInt/Words.html @@ -0,0 +1,302 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Words Structure Reference +

+ +
+ +
+ +
+
+

Words

+
+
+ + 
public struct Words : RandomAccessCollection
+ +
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Indices + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Indices = CountableRange<Int>
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + count + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var count: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + indices + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var indices: Indices { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + startIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var startIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + endIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var endIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(index: Int) -> UInt { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs/BigUInt.html b/docs/Structs/BigUInt.html new file mode 100644 index 0000000..10cbe63 --- /dev/null +++ b/docs/Structs/BigUInt.html @@ -0,0 +1,3255 @@ + + + + BigUInt Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigUInt Structure Reference +

+ +
+ +
+ +
+
+

BigUInt

+
+
+ + 
public struct BigUInt : UnsignedInteger
+
extension BigUInt: Codable
+
extension BigUInt: Comparable
+
extension BigUInt: Hashable
+
extension BigUInt: ExpressibleByIntegerLiteral
+
extension BigUInt: Strideable
+
extension BigUInt: ExpressibleByStringLiteral
+
extension BigUInt: CustomStringConvertible
+
extension BigUInt: CustomPlaygroundDisplayConvertible
+ +
+
+

An arbitary precision unsigned integer type, also known as a “big integer”.

+ +

Operations on big integers never overflow, but they may take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

+ +

This particular big integer type uses base-2^64 digits to represent integers; you can think of it as a wrapper +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Word + +
    +
    +
    +
    +
    +
    +

    The type representing a digit in BigUInt‘s underlying number system.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Word = UInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init() + +
    +
    +
    +
    +
    +
    +

    Initializes a new BigUInt with value 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new BigUInt with the specified digits. The digits are ordered from least to most significant.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(words: [Word])
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Addition

+

+
+
+
    +
  • +
    + + + + +(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a and b together and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func + (a: BigUInt, b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a and b together, and store the sum in a.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func += (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isSigned + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var isSigned: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isZero + +
    +
    +
    +
    +
    +
    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var isZero: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + signum() + +
    +
    +
    +
    +
    +
    +

    Returns 1 if this value is, positive; otherwise, 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func signum() -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    The sign of this number, expressed as an integer of the same type.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Bitwise Operations

+

+
+
+
    +
  • +
    + + + + ~(_:) + +
    +
    +
    +
    +
    +
    +

    Return the ones’ complement of a.

    +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public prefix static func ~ (a: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise OR of a and b, and store the result in a.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func |= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise AND of a and b and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise XOR of a and b and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(from:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(from decoder: Decoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + encode(to:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func encode(to encoder: Encoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Comparison

+

+
+
+
    +
  • +
    + + + + compare(_:_:) + +
    +
    +
    +
    +
    +
    +

    Compare a to b and return an NSComparisonResult indicating their order.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func compare(_ a: BigUInt, _ b: BigUInt) -> ComparisonResult
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ==(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is equal to b.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func == (a: BigUInt, b: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is less than b.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func < (a: BigUInt, b: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

NSData Conversion

+

+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ buffer: UnsafeRawBufferPointer)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes an integer from the bits stored inside a piece of Data. +The data is assumed to be in network (big-endian) byte order.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ data: Data)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + serialize() + +
    +
    +
    +
    +
    +
    +

    Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func serialize() -> Data
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Division

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Divide this integer by y and return the resulting quotient and remainder.

    +
    +

    Requires

    + y > 0 + +
    +

    Complexity

    + O(count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func quotientAndRemainder(dividingBy y: BigUInt) -> (quotient: BigUInt, remainder: BigUInt)
    + +
    +
    +
    +

    Return Value

    +

    (quotient, remainder) where quotient = floor(self/y), remainder = self - quotient * y

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and return the quotient.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func / (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and return the remainder.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func % (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and store the quotient in x.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func /= (x: inout BigUInt, y: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and store the remainder in x.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func %= (x: inout BigUInt, y: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Exponentiation

+

+
+
+
    +
  • +
    + + + + power(_:) + +
    +
    +
    +
    +
    +
    +

    Returns this integer raised to the power exponent.

    + +

    This function calculates the result by successively squaring the base while halving the exponent.

    +
    +

    Note

    + This function can be unreasonably expensive for large exponents, which is why exponent is + a simple integer value. If you want to calculate big exponents, you’ll probably need to use + the modulo arithmetic variant. + +
    +

    See also

    + BigUInt.power(_:, modulus:) + +
    +

    Complexity

    + O((exponent * self.count)^log2(3)) or somesuch. The result may require a large amount of memory, too. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: Int) -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    1 if exponent == 0, otherwise self raised to exponent. (This implies that 0.power(0) == 1.)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:modulus:) + +
    +
    +
    +
    +
    +
    +

    Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

    + +

    Uses the right-to-left binary method.

    +
    +

    Complexity

    + O(exponent.count * modulus.count^log2(3)) or somesuch + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: BigUInt, modulus: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Greatest Common Divisor

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns the greatest common divisor of self and b.

    +
    +

    Complexity

    + O(count^2) where count = max(self.count, b.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func greatestCommonDivisor(with b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + inverse(_:) + +
    +
    +
    +
    +
    +
    +

    Returns the multiplicative inverse of this integer in modulo modulus arithmetic, +or nil if there is no such number.

    +
    +

    Requires

    + modulus > 1 + +
    +

    Complexity

    + O(count^3) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func inverse(_ modulus: BigUInt) -> BigUInt?
    + +
    +
    +
    +

    Return Value

    +

    If gcd(self, modulus) == 1, the value returned is an integer a < modulus such that (a * self) % modulus == 1. If self and modulus aren’t coprime, the return value is nil.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Hashing

+

+
+
+
    +
  • +
    + + + + hash(into:) + +
    +
    +
    +
    +
    +
    +

    Append this BigUInt to the specified hasher.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func hash(into hasher: inout Hasher)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(truncatingIfNeeded source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(clamping:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(clamping source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(integerLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from an integer literal.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(integerLiteral value: UInt64)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Multiplication

+

+
+
+
    +
  • +
    + + + + multiply(byWord:) + +
    +
    +
    +
    +
    +
    +

    Multiply this big integer by a single word, and store the result in place of the original big integer.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func multiply(byWord y: Word)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + multiplied(byWord:) + +
    +
    +
    +
    +
    +
    +

    Multiply this big integer by a single Word, and return the result.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func multiplied(byWord y: Word) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Multiply x by y, and add the result to this integer, optionally shifted shift words to the left.

    +
    +

    Note

    + This is the fused multiply/shift/add operation; it is more efficient than doing the components +individually. (The fused operation doesn’t need to allocate space for temporary big integers.) + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func multiplyAndAdd(_ x: BigUInt, _ y: Word, shiftedBy shift: Int = 0)
    + +
    +
    +
    +

    Return Value

    +

    self is set to self + (x * y) << (shift * 2^Word.bitWidth)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + multiplied(by:) + +
    +
    +
    +
    +
    +
    +

    Multiply this integer by y and return the result.

    +
    +

    Note

    + This uses the naive O(n^2) multiplication algorithm unless both arguments have more than +BigUInt.directMultiplicationLimit words. + +
    +

    Complexity

    + O(n^log2(3)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func multiplied(by y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Multiplication switches to an asymptotically better recursive algorithm when arguments have more words than this limit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var directMultiplicationLimit: Int
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a by b and return the result.

    +
    +

    Note

    + This uses the naive O(n^2) multiplication algorithm unless both arguments have more than +BigUInt.directMultiplicationLimit words. + +
    +

    Complexity

    + O(n^log2(3)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func * (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a by b and store the result in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func *= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Primality Testing

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns true iff this integer passes the strong probable prime test for the specified base.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isStrongProbablePrime(_ base: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isPrime(rounds:) + +
    +
    +
    +
    +
    +
    +

    Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

    + +

    This function performs a probabilistic Miller-Rabin Primality Test, consisting of rounds iterations, +each calculating the strong probable prime test for a random base. The number of rounds is 10 by default, +but you may specify your own choice.

    + +

    To speed things up, the function checks if self is divisible by the first few prime numbers before +diving into (slower) Miller-Rabin testing.

    + +

    Also, when self is less than 82 bits wide, isPrime does a deterministic test that is guaranteed to +return a correct result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isPrime(rounds: Int = 10) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width uniformly distributed random bits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(withMaximumWidth width: Int, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + width + + +
    +

    The maximum number of one bits in the result.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A big unsigned integer less than 1 << width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width uniformly distributed random bits.

    +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(withMaximumWidth width: Int) -> BigUInt
    + +
    +
    +
    +

    Parameters

    + + + + + + + +
    + + width + + +
    +

    The maximum number of one bits in the result.

    +
    +
    +
    +
    +

    Return Value

    +

    A big unsigned integer less than 1 << width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

    +
    +

    Note

    +

    If width is zero, the result is zero.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(withExactWidth width: Int, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + width + + +
    +

    The number of bits required to represent the answer.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer whose width is width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

    +
    +

    Note

    + If width is zero, the result is zero. + +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(withExactWidth width: Int) -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer whose width is width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a uniformly distributed random unsigned integer that’s less than the specified limit.

    +
    +

    Precondition

    +

    limit > 0.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(lessThan limit: BigUInt, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + limit + + +
    +

    The upper bound on the result.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer that is less than limit.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a uniformly distributed random unsigned integer that’s less than the specified limit.

    +
    +

    Precondition

    + limit > 0. + +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(lessThan limit: BigUInt) -> BigUInt
    + +
    +
    +
    +

    Parameters

    + + + + + + + +
    + + limit + + +
    +

    The upper bound on the result.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer that is less than limit.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Shift Operators

+

+
+
+
    +
  • +
    + + + + >>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >>= <Other>(lhs: inout BigUInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func <<= <Other>(lhs: inout BigUInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >> <Other>(lhs: BigUInt, rhs: Other) -> BigUInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func << <Other>(lhs: BigUInt, rhs: Other) -> BigUInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Square Root

+

+
+
+
    +
  • +
    + + + + squareRoot() + +
    +
    +
    +
    +
    +
    +

    Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func squareRoot() -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    floor(sqrt(self))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Stride + +
    +
    +
    +
    +
    +
    +

    A type that can represent the distance between two values ofa BigUInt.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Stride = BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + advanced(by:) + +
    +
    +
    +
    +
    +
    +

    Adds n to self and returns the result. Traps if the result would be less than zero.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func advanced(by n: BigInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + distance(to:) + +
    +
    +
    +
    +
    +
    +

    Returns the (potentially negative) difference between self and other as a BigInt. Never traps.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func distance(to other: BigUInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

String Conversion

+

+
+
+
    +
  • +
    + + + + init(_:radix:) + +
    +
    +
    +
    +
    +
    +

    Initialize a big integer from an ASCII representation in a given radix. Numerals above 9 are represented by +letters from the English alphabet.

    +
    +

    Requires

    + radix > 1 && radix < 36 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<S>(_ text: S, radix: Int = 10) where S : StringProtocol
    + +
    +
    +
    +

    Return Value

    +

    The integer represented by text, or nil if text contains a character that does not represent a numeral in radix.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from a Unicode scalar. +The scalar must represent a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(unicodeScalarLiteral value: UnicodeScalar)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from an extended grapheme cluster. +The cluster must consist of a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(extendedGraphemeClusterLiteral value: String)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(stringLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from a decimal number represented by a string literal of arbitrary length. +The string must contain only decimal digits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(stringLiteral value: StringLiteralType)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + description + +
    +
    +
    +
    +
    +
    +

    Return the decimal representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var description: String { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + playgroundDescription + +
    +
    +
    +
    +
    +
    +

    Return the playground quick look representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var playgroundDescription: Any { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Subtraction

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer in place, and return a flag indicating if the operation caused an +arithmetic overflow. other is shifted shift digits to the left before being subtracted.

    +
    +

    Note

    + If the result indicates an overflow, then self becomes the twos’ complement of the absolute difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func subtractReportingOverflow(_ b: BigUInt, shiftedBy shift: Int = 0) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer, returning the difference and a flag indicating arithmetic overflow. +other is shifted shift digits to the left before being subtracted.

    +
    +

    Note

    + If overflow is true, then the result value is the twos’ complement of the absolute value of the difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtractingReportingOverflow(_ other: BigUInt, shiftedBy shift: Int) -> (partialValue: BigUInt, overflow: Bool)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtracts other from self, returning the result and a flag indicating arithmetic overflow.

    +
    +

    Note

    + When the operation overflows, then partialValue is the twos’ complement of the absolute value of the difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtractingReportingOverflow(_ other: BigUInt) -> (partialValue: BigUInt, overflow: Bool)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer in place. +other is shifted shift digits to the left before being subtracted.

    +
    +

    Requires

    + self >= other * 2^shift + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func subtract(_ other: BigUInt, shiftedBy shift: Int = 0)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract b from this integer, and return the difference. +b is shifted shift digits to the left before being subtracted.

    +
    +

    Requires

    + self >= b * 2^shift + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtracting(_ other: BigUInt, shiftedBy shift: Int = 0) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + decrement(shiftedBy:) + +
    +
    +
    +
    +
    +
    +

    Decrement this integer by one.

    +
    +

    Requires

    + !isZero + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func decrement(shiftedBy shift: Int = 0)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and return the result.

    +
    +

    Requires

    + a >= b + +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func - (a: BigUInt, b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and store the result in a.

    +
    +

    Requires

    + a >= b + +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func -= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(bitAt:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(bitAt index: Int) -> Bool { get set }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + bitWidth + +
    +
    +
    +
    +
    +
    +

    The minimum number of bits required to represent this integer in binary.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var bitWidth: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    floor(log2(2 * self + 1))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + leadingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    The number of leading zero bits in the binary representation of this integer in base 2^(Word.bitWidth). +This is useful when you need to normalize a BigUInt such that the top bit of its most significant word is 1.

    +
    +

    Note

    + 0 is considered to have zero leading zero bits. + +
    +

    See also

    + width + +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var leadingZeroBitCount: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    A value in 0...(Word.bitWidth - 1).

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + trailingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    The number of trailing zero bits in the binary representation of this integer.

    +
    +

    Note

    + 0 is considered to have zero trailing zero bits. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var trailingZeroBitCount: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    A value in 0...width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Words + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct Words : RandomAccessCollection
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + words + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var words: Words { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<Words>(words: Words) where Words : Sequence, Words.Element == BigUInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/Structs/BigUInt/Words.html b/docs/Structs/BigUInt/Words.html new file mode 100644 index 0000000..45577c2 --- /dev/null +++ b/docs/Structs/BigUInt/Words.html @@ -0,0 +1,215 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Words Structure Reference +

+ +
+ +
+ +
+
+

Words

+
+
+ + 
public struct Words : RandomAccessCollection
+ +
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + startIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var startIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + endIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var endIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(index: Int) -> Word { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/badge.svg b/docs/badge.svg new file mode 100644 index 0000000..09c2300 --- /dev/null +++ b/docs/badge.svg @@ -0,0 +1,28 @@ + + + + + + + + + + + + + + + + documentation + + + documentation + + + 85% + + + 85% + + + diff --git a/docs/css/chunk-c0335d80.10a2f091.css b/docs/css/chunk-c0335d80.10a2f091.css deleted file mode 100644 index 86451fd..0000000 --- a/docs/css/chunk-c0335d80.10a2f091.css +++ /dev/null @@ -1,9 +0,0 @@ -/*! - * This source file is part of the Swift.org open source project - * - * Copyright (c) 2021 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 Swift project authors - */[data-v-20945666] 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.nav-menucta[data-v-5c0521d3]{display:flex}.nav-menucta-chevron[data-v-5c0521d3]{display:block;position:relative;width:100%;height:.70588rem;transition:transform .3s linear}.nav-menucta-chevron[data-v-5c0521d3]:after,.nav-menucta-chevron[data-v-5c0521d3]:before{content:"";display:block;position:absolute;top:.58824rem;width:.70588rem;height:.05882rem;transition:transform .3s linear;background:var(--color-figure-gray)}.nav-menucta-chevron[data-v-5c0521d3]:before{right:50%;border-radius:.5px 0 0 .5px}.nav-menucta-chevron[data-v-5c0521d3]:after{left:50%;border-radius:0 .5px .5px 0}.nav-menucta-chevron[data-v-5c0521d3]:before{transform-origin:100% 100%;transform:rotate(40deg) scaleY(1.5)}.nav-menucta-chevron[data-v-5c0521d3]:after{transform-origin:0 100%;transform:rotate(-40deg) scaleY(1.5)}.nav--is-open .nav-menucta-chevron[data-v-5c0521d3]{transform:scaleY(-1)}.theme-dark .nav-menucta-chevron[data-v-5c0521d3]:after,.theme-dark .nav-menucta-chevron[data-v-5c0521d3]:before{background:var(--color-nav-dark-link-color)}[data-v-5c0521d3] .nav-menu-link{color:var(--color-nav-link-color)}[data-v-5c0521d3] .nav-menu-link:hover{color:var(--color-nav-link-color-hover);text-decoration:none}.theme-dark[data-v-5c0521d3] .nav-menu-link{color:var(--color-nav-dark-link-color)}.theme-dark[data-v-5c0521d3] .nav-menu-link:hover{color:var(--color-nav-dark-link-color-hover)}[data-v-5c0521d3] .nav-menu-link.current{color:var(--color-nav-current-link);cursor:default}[data-v-5c0521d3] .nav-menu-link.current:hover{color:var(--color-nav-current-link)}.theme-dark[data-v-5c0521d3] .nav-menu-link.current,.theme-dark[data-v-5c0521d3] .nav-menu-link.current:hover{color:var(--color-nav-dark-current-link)}.reference-card-grid-item[data-v-08a5e3f8]{--card-cover-height:auto}.reference-card-grid-item.card.large[data-v-08a5e3f8]{--card-cover-height:auto;min-width:0;max-width:none}.reference-card-grid-item[data-v-08a5e3f8] .card-cover{aspect-ratio:16/9}.reference-card-grid-item[data-v-08a5e3f8] .card-cover-wrap{border:1px solid var(--color-link-block-card-border)}.reference-card-grid-item__image[data-v-08a5e3f8]{display:flex;align-items:center;justify-content:center;font-size:80px;background-color:var(--color-fill-gray-quaternary)}.reference-card-grid-item__icon[data-v-08a5e3f8]{margin:0;display:flex;justify-content:center}.reference-card-grid-item__icon[data-v-08a5e3f8] .icon-inline{flex:1 1 auto}.nav-menu-item[data-v-66cbfe4c]{margin-left:1.41176rem;list-style:none;min-width:0}.nav--in-breakpoint-range .nav-menu-item[data-v-66cbfe4c]{margin-left:0;width:100%;min-height:2.47059rem}.nav--in-breakpoint-range .nav-menu-item[data-v-66cbfe4c]:first-child .nav-menu-link{border-top:0}.nav--in-breakpoint-range .nav-menu-item--animated[data-v-66cbfe4c]{opacity:0;transform:none;transition:.5s ease;transition-property:transform,opacity}.nav--is-open.nav--in-breakpoint-range 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CFBundleIdentifier + com.jazzy.bigint + CFBundleName + BigInt + DocSetPlatformFamily + bigint + isDashDocset + + dashIndexFilePath + index.html + isJavaScriptEnabled + + DashDocSetFamily + dashtoc + DashDocSetFallbackURL + https://attaswift.github.io/BigInt/reference/ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html new file mode 100644 index 0000000..d64d667 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html @@ -0,0 +1,173 @@ + + + + Extensions Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Extensions Reference +

+ +
+ +
+ +
+
+

Extensions

+

The following extensions are available globally.

+ +
+
+ +
+
+
+
    +
  • +
    + + + + BinaryFloatingPoint + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    extension BinaryFloatingPoint where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger
    + +
    +
    +
    +
    +
    • +
  • +
    + + + + String + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    extension String
    + +
    +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html new file mode 100644 index 0000000..f1eb550 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html @@ -0,0 +1,194 @@ + + + + BinaryFloatingPoint Extension Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BinaryFloatingPoint Extension Reference +

+ +
+ +
+ +
+
+

BinaryFloatingPoint

+
+
+ + 
extension BinaryFloatingPoint where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger
+ +
+
+ +
+
+ +
+
+
+
+ + +
+ +

Available where RawExponent: FixedWidthInteger, RawSignificand: FixedWidthInteger

+

+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/String.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/String.html new file mode 100644 index 0000000..5b17bad --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/String.html @@ -0,0 +1,244 @@ + + + + String Extension Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + String Extension Reference +

+ +
+ +
+ +
+
+

String

+
+
+ + 
extension String
+ +
+
+ +
+
+ +
+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new string with the base-10 representation of an unsigned big integer.

    +
    +

    Complexity

    + O(v.count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ v: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new string representing an unsigned big integer in the given radix (base).

    + +

    Numerals greater than 9 are represented as letters from the English alphabet, +starting with a if uppercase is false or A otherwise.

    +
    +

    Requires

    + radix > 1 && radix <= 36 + +
    +

    Complexity

    + O(count) when radix is a power of two; otherwise O(count^2). + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new string representing a signed big integer in the given radix (base).

    + +

    Numerals greater than 9 are represented as letters from the English alphabet, +starting with a if uppercase is false or A otherwise.

    +
    +

    Requires

    + radix > 1 && radix <= 36 + +
    +

    Complexity

    + O(count) when radix is a power of two; otherwise O(count^2). + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs.html new file mode 100644 index 0000000..4cadc0c --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs.html @@ -0,0 +1,230 @@ + + + + Structures Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Structures Reference +

+ +
+ +
+ +
+
+

Structures

+

The following structures are available globally.

+ +
+
+ +
+
+
+
    +
  • +
    + + + + BigUInt + +
    +
    +
    +
    +
    +
    +

    An arbitary precision unsigned integer type, also known as a “big integer”.

    + +

    Operations on big integers never overflow, but they may take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

    + +

    This particular big integer type uses base-2^64 digits to represent integers; you can think of it as a wrapper +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct BigUInt : UnsignedInteger
    +
    extension BigUInt: Codable
    +
    extension BigUInt: Comparable
    +
    extension BigUInt: Hashable
    +
    extension BigUInt: ExpressibleByIntegerLiteral
    +
    extension BigUInt: Strideable
    +
    extension BigUInt: ExpressibleByStringLiteral
    +
    extension BigUInt: CustomStringConvertible
    +
    extension BigUInt: CustomPlaygroundDisplayConvertible
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

BigInt

+

+
+
+
    +
  • +
    + + + + BigInt + +
    +
    +
    +
    +
    +
    +

    An arbitary precision signed integer type, also known as a “big integer”.

    + +

    Operations on big integers never overflow, but they might take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

    + +

    This particular big integer type uses base-2^64 digits to represent integers.

    + +

    BigInt is essentially a tiny wrapper that extends BigUInt with a sign bit and provides signed integer +operations. Both the underlying absolute value and the negative/positive flag are available as read-write +properties.

    + +

    Not all algorithms of BigUInt are available for BigInt values; for example, there is no square root or +primality test for signed integers. When you need to call one of these, just extract the absolute value:

    +
    BigInt(255).magnitude.isPrime()   // Returns false
+
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct BigInt : SignedInteger
    +
    extension BigInt: Codable
    +
    extension BigInt: Comparable
    +
    extension BigInt: Hashable
    +
    extension BigInt: ExpressibleByIntegerLiteral
    +
    extension BigInt: Strideable
    +
    extension BigInt: ExpressibleByStringLiteral
    +
    extension BigInt: CustomStringConvertible
    +
    extension BigInt: CustomPlaygroundDisplayConvertible
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt.html new file mode 100644 index 0000000..a0a099b --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt.html @@ -0,0 +1,2547 @@ + + + + BigInt Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigInt Structure Reference +

+ +
+ +
+ +
+
+

BigInt

+
+
+ + 
public struct BigInt : SignedInteger
+
extension BigInt: Codable
+
extension BigInt: Comparable
+
extension BigInt: Hashable
+
extension BigInt: ExpressibleByIntegerLiteral
+
extension BigInt: Strideable
+
extension BigInt: ExpressibleByStringLiteral
+
extension BigInt: CustomStringConvertible
+
extension BigInt: CustomPlaygroundDisplayConvertible
+ +
+
+

An arbitary precision signed integer type, also known as a “big integer”.

+ +

Operations on big integers never overflow, but they might take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

+ +

This particular big integer type uses base-2^64 digits to represent integers.

+ +

BigInt is essentially a tiny wrapper that extends BigUInt with a sign bit and provides signed integer +operations. Both the underlying absolute value and the negative/positive flag are available as read-write +properties.

+ +

Not all algorithms of BigUInt are available for BigInt values; for example, there is no square root or +primality test for signed integers. When you need to call one of these, just extract the absolute value:

+
BigInt(255).magnitude.isPrime()   // Returns false
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Sign + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public enum Sign
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Magnitude + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Magnitude = BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Word + +
    +
    +
    +
    +
    +
    +

    The type representing a digit in BigInt‘s underlying number system.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Word = BigUInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isSigned + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var isSigned: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + magnitude + +
    +
    +
    +
    +
    +
    +

    The absolute value of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var magnitude: BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + sign + +
    +
    +
    +
    +
    +
    +

    True iff the value of this integer is negative.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var sign: Sign
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(sign:magnitude:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new big integer with the provided absolute number and sign flag.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(sign: Sign, magnitude: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isZero + +
    +
    +
    +
    +
    +
    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var isZero: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + signum() + +
    +
    +
    +
    +
    +
    +

    Returns -1 if this value is negative and 1 if it’s positive; otherwise, 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func signum() -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    The sign of this number, expressed as an integer of the same type.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a to b and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func + (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add b to a in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func += (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Bitwise Operations

+

+
+
+
    +
  • +
    + + + + ~(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public prefix static func ~ (x: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func & (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func | (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^ (lhs: inout BigInt, rhs: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func |= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^= (lhs: inout BigInt, rhs: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(from:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(from decoder: Decoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + encode(to:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func encode(to encoder: Encoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ==(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is equal to b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func == (a: BigInt, b: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is less than b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func < (a: BigInt, b: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer, +where the first byte indicates sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ buffer: UnsafeRawBufferPointer)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes an integer from the bits stored inside a piece of Data. +The data is assumed to be in network (big-endian) byte order with a first +byte to represent the sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ data: Data)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + serialize() + +
    +
    +
    +
    +
    +
    +

    Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order and a prepended byte to indicate the sign (0 for positive, 1 for negative)

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func serialize() -> Data
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Full-width multiplication and division

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Divide this integer by y and return the resulting quotient and remainder.

    +
    +

    Requires

    + y > 0 + +
    +

    Complexity

    + O(count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func quotientAndRemainder(dividingBy y: BigInt) -> (quotient: BigInt, remainder: BigInt)
    + +
    +
    +
    +

    Return Value

    +

    (quotient, remainder) where quotient = floor(self/y), remainder = self - quotient * y

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b and return the quotient. Traps if b is zero.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func / (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b and return the remainder. The result has the same sign as a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func % (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + modulus(_:) + +
    +
    +
    +
    +
    +
    +

    Return the result of a mod b. The result is always a nonnegative integer that is less than the absolute value of b.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func modulus(_ mod: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b storing the quotient in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func /= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide a by b storing the remainder in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func %= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:) + +
    +
    +
    +
    +
    +
    +

    Returns this integer raised to the power exponent.

    + +

    This function calculates the result by successively squaring the base while halving the exponent.

    +
    +

    Note

    + This function can be unreasonably expensive for large exponents, which is why exponent is + a simple integer value. If you want to calculate big exponents, you’ll probably need to use + the modulo arithmetic variant. + +
    +

    See also

    + BigUInt.power(_:, modulus:) + +
    +

    Complexity

    + O((exponent * self.count)^log2(3)) or somesuch. The result may require a large amount of memory, too. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: Int) -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    1 if exponent == 0, otherwise self raised to exponent. (This implies that 0.power(0) == 1.)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:modulus:) + +
    +
    +
    +
    +
    +
    +

    Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

    + +

    Uses the right-to-left binary method.

    +
    +

    Complexity

    + O(exponent.count * modulus.count^log2(3)) or somesuch + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: BigInt, modulus: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Returns the greatest common divisor of a and b.

    +
    +

    Complexity

    + O(count^2) where count = max(a.count, b.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func greatestCommonDivisor(with b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + inverse(_:) + +
    +
    +
    +
    +
    +
    +

    Returns the multiplicative inverse of this integer in modulo modulus arithmetic, +or nil if there is no such number.

    +
    +

    Requires

    + modulus.magnitude > 1 + +
    +

    Complexity

    + O(count^3) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func inverse(_ modulus: BigInt) -> BigInt?
    + +
    +
    +
    +

    Return Value

    +

    If gcd(self, modulus) == 1, the value returned is an integer a < modulus such that (a * self) % modulus == 1. If self and modulus aren’t coprime, the return value is nil.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + hash(into:) + +
    +
    +
    +
    +
    +
    +

    Append this BigInt to the specified hasher.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func hash(into hasher: inout Hasher)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init() + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new signed big integer with the same value as the specified unsigned big integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ integer: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(clamping:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(clamping source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(truncatingIfNeeded source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(integerLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from an integer literal.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(integerLiteral value: Int64)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a with b and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func * (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a with b in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func *= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Primality Testing

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns true iff this integer passes the strong probable prime test for the specified base.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isStrongProbablePrime(_ base: BigInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isPrime(rounds:) + +
    +
    +
    +
    +
    +
    +

    Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

    + +

    This function performs a probabilistic Miller-Rabin Primality Test, consisting of rounds iterations, +each calculating the strong probable prime test for a random base. The number of rounds is 10 by default, +but you may specify your own choice.

    + +

    To speed things up, the function checks if self is divisible by the first few prime numbers before +diving into (slower) Miller-Rabin testing.

    + +

    Also, when self is less than 82 bits wide, isPrime does a deterministic test that is guaranteed to +return a correct result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isPrime(rounds: Int = 10) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &<<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &<< (left: BigInt, right: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &<<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &<<= (left: inout BigInt, right: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &>>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &>> (left: BigInt, right: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &>>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &>>= (left: inout BigInt, right: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func << <Other>(lhs: BigInt, rhs: Other) -> BigInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func <<= <Other>(lhs: inout BigInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >> <Other>(lhs: BigInt, rhs: Other) -> BigInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >>= <Other>(lhs: inout BigInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Square Root

+

+
+
+
    +
  • +
    + + + + squareRoot() + +
    +
    +
    +
    +
    +
    +

    Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

    +
    +

    Requires

    + self >= 0 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func squareRoot() -> BigInt
    + +
    +
    +
    +

    Return Value

    +

    floor(sqrt(self))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Stride + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Stride = BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + advanced(by:) + +
    +
    +
    +
    +
    +
    +

    Returns self + n.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func advanced(by n: Stride) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + distance(to:) + +
    +
    +
    +
    +
    +
    +

    Returns other - self.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func distance(to other: BigInt) -> Stride
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:radix:) + +
    +
    +
    +
    +
    +
    +

    Initialize a big integer from an ASCII representation in a given radix. Numerals above 9 are represented by +letters from the English alphabet.

    +
    +

    Requires

    + radix > 1 && radix < 36 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<S>(_ text: S, radix: Int = 10) where S : StringProtocol
    + +
    +
    +
    +

    Return Value

    +

    The integer represented by text, or nil if text contains a character that does not represent a numeral in radix.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from a Unicode scalar. +The scalar must represent a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(unicodeScalarLiteral value: UnicodeScalar)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from an extended grapheme cluster. +The cluster must consist of a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(extendedGraphemeClusterLiteral value: String)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(stringLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from a decimal number represented by a string literal of arbitrary length. +The string must contain only decimal digits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(stringLiteral value: StringLiteralType)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + description + +
    +
    +
    +
    +
    +
    +

    Return the decimal representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var description: String { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + playgroundDescription + +
    +
    +
    +
    +
    +
    +

    Return the playground quick look representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var playgroundDescription: Any { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + negate() + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func negate()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and return the result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func - (a: BigInt, b: BigInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a in place.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func -= (a: inout BigInt, b: BigInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + bitWidth + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var bitWidth: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + trailingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var trailingZeroBitCount: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Words + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct Words : RandomAccessCollection
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + words + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var words: Words { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<S>(words: S) where S : Sequence, S.Element == BigInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Sign.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Sign.html new file mode 100644 index 0000000..2bf5e4c --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Sign.html @@ -0,0 +1,189 @@ + + + + Sign Enumeration Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Sign Enumeration Reference +

+ +
+ +
+ +
+
+

Sign

+
+
+ + 
public enum Sign
+ +
+
+

Undocumented

+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + plus + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    case plus
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + minus + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    case minus
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Words.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Words.html new file mode 100644 index 0000000..07637af --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Words.html @@ -0,0 +1,302 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Words Structure Reference +

+ +
+ +
+ +
+
+

Words

+
+
+ + 
public struct Words : RandomAccessCollection
+ +
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Indices + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Indices = CountableRange<Int>
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + count + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var count: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + indices + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var indices: Indices { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + startIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var startIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + endIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var endIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(index: Int) -> UInt { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt.html new file mode 100644 index 0000000..10cbe63 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt.html @@ -0,0 +1,3255 @@ + + + + BigUInt Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigUInt Structure Reference +

+ +
+ +
+ +
+
+

BigUInt

+
+
+ + 
public struct BigUInt : UnsignedInteger
+
extension BigUInt: Codable
+
extension BigUInt: Comparable
+
extension BigUInt: Hashable
+
extension BigUInt: ExpressibleByIntegerLiteral
+
extension BigUInt: Strideable
+
extension BigUInt: ExpressibleByStringLiteral
+
extension BigUInt: CustomStringConvertible
+
extension BigUInt: CustomPlaygroundDisplayConvertible
+ +
+
+

An arbitary precision unsigned integer type, also known as a “big integer”.

+ +

Operations on big integers never overflow, but they may take a long time to execute. +The amount of memory (and address space) available is the only constraint to the magnitude of these numbers.

+ +

This particular big integer type uses base-2^64 digits to represent integers; you can think of it as a wrapper +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + Word + +
    +
    +
    +
    +
    +
    +

    The type representing a digit in BigUInt‘s underlying number system.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Word = UInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init() + +
    +
    +
    +
    +
    +
    +

    Initializes a new BigUInt with value 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init()
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Initializes a new BigUInt with the specified digits. The digits are ordered from least to most significant.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(words: [Word])
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Addition

+

+
+
+
    +
  • +
    + + + + +(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a and b together and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func + (a: BigUInt, b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + +=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Add a and b together, and store the sum in a.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func += (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isSigned + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var isSigned: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isZero + +
    +
    +
    +
    +
    +
    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var isZero: Bool { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + signum() + +
    +
    +
    +
    +
    +
    +

    Returns 1 if this value is, positive; otherwise, 0.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func signum() -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    The sign of this number, expressed as an integer of the same type.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Bitwise Operations

+

+
+
+
    +
  • +
    + + + + ~(_:) + +
    +
    +
    +
    +
    +
    +

    Return the ones’ complement of a.

    +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public prefix static func ~ (a: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + |=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise OR of a and b, and store the result in a.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func |= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + &=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise AND of a and b and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func &= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ^=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Calculate the bitwise XOR of a and b and return the result.

    +
    +

    Complexity

    + O(max(a.count, b.count)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func ^= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(from:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(from decoder: Decoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + encode(to:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func encode(to encoder: Encoder) throws
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Comparison

+

+
+
+
    +
  • +
    + + + + compare(_:_:) + +
    +
    +
    +
    +
    +
    +

    Compare a to b and return an NSComparisonResult indicating their order.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func compare(_ a: BigUInt, _ b: BigUInt) -> ComparisonResult
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + ==(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is equal to b.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func == (a: BigUInt, b: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <(_:_:) + +
    +
    +
    +
    +
    +
    +

    Return true iff a is less than b.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func < (a: BigUInt, b: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

NSData Conversion

+

+
+
+
    +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ buffer: UnsafeRawBufferPointer)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Initializes an integer from the bits stored inside a piece of Data. +The data is assumed to be in network (big-endian) byte order.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(_ data: Data)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + serialize() + +
    +
    +
    +
    +
    +
    +

    Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func serialize() -> Data
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Division

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Divide this integer by y and return the resulting quotient and remainder.

    +
    +

    Requires

    + y > 0 + +
    +

    Complexity

    + O(count^2) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func quotientAndRemainder(dividingBy y: BigUInt) -> (quotient: BigUInt, remainder: BigUInt)
    + +
    +
    +
    +

    Return Value

    +

    (quotient, remainder) where quotient = floor(self/y), remainder = self - quotient * y

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and return the quotient.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func / (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and return the remainder.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func % (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + /=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and store the quotient in x.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func /= (x: inout BigUInt, y: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + %=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Divide x by y and store the remainder in x.

    +
    +

    Note

    + Use divided(by:) if you also need the remainder. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func %= (x: inout BigUInt, y: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Exponentiation

+

+
+
+
    +
  • +
    + + + + power(_:) + +
    +
    +
    +
    +
    +
    +

    Returns this integer raised to the power exponent.

    + +

    This function calculates the result by successively squaring the base while halving the exponent.

    +
    +

    Note

    + This function can be unreasonably expensive for large exponents, which is why exponent is + a simple integer value. If you want to calculate big exponents, you’ll probably need to use + the modulo arithmetic variant. + +
    +

    See also

    + BigUInt.power(_:, modulus:) + +
    +

    Complexity

    + O((exponent * self.count)^log2(3)) or somesuch. The result may require a large amount of memory, too. + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: Int) -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    1 if exponent == 0, otherwise self raised to exponent. (This implies that 0.power(0) == 1.)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + power(_:modulus:) + +
    +
    +
    +
    +
    +
    +

    Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

    + +

    Uses the right-to-left binary method.

    +
    +

    Complexity

    + O(exponent.count * modulus.count^log2(3)) or somesuch + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func power(_ exponent: BigUInt, modulus: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryFloatingPoint
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Greatest Common Divisor

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns the greatest common divisor of self and b.

    +
    +

    Complexity

    + O(count^2) where count = max(self.count, b.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func greatestCommonDivisor(with b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + inverse(_:) + +
    +
    +
    +
    +
    +
    +

    Returns the multiplicative inverse of this integer in modulo modulus arithmetic, +or nil if there is no such number.

    +
    +

    Requires

    + modulus > 1 + +
    +

    Complexity

    + O(count^3) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func inverse(_ modulus: BigUInt) -> BigUInt?
    + +
    +
    +
    +

    Return Value

    +

    If gcd(self, modulus) == 1, the value returned is an integer a < modulus such that (a * self) % modulus == 1. If self and modulus aren’t coprime, the return value is nil.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Hashing

+

+
+
+
    +
  • +
    + + + + hash(into:) + +
    +
    +
    +
    +
    +
    +

    Append this BigUInt to the specified hasher.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func hash(into hasher: inout Hasher)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(exactly:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<T>(exactly source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(_ source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(truncatingIfNeeded source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(clamping:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<T>(clamping source: T) where T : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(integerLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from an integer literal.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(integerLiteral value: UInt64)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Multiplication

+

+
+
+
    +
  • +
    + + + + multiply(byWord:) + +
    +
    +
    +
    +
    +
    +

    Multiply this big integer by a single word, and store the result in place of the original big integer.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func multiply(byWord y: Word)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + multiplied(byWord:) + +
    +
    +
    +
    +
    +
    +

    Multiply this big integer by a single Word, and return the result.

    +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func multiplied(byWord y: Word) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Multiply x by y, and add the result to this integer, optionally shifted shift words to the left.

    +
    +

    Note

    + This is the fused multiply/shift/add operation; it is more efficient than doing the components +individually. (The fused operation doesn’t need to allocate space for temporary big integers.) + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func multiplyAndAdd(_ x: BigUInt, _ y: Word, shiftedBy shift: Int = 0)
    + +
    +
    +
    +

    Return Value

    +

    self is set to self + (x * y) << (shift * 2^Word.bitWidth)

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + multiplied(by:) + +
    +
    +
    +
    +
    +
    +

    Multiply this integer by y and return the result.

    +
    +

    Note

    + This uses the naive O(n^2) multiplication algorithm unless both arguments have more than +BigUInt.directMultiplicationLimit words. + +
    +

    Complexity

    + O(n^log2(3)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func multiplied(by y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Multiplication switches to an asymptotically better recursive algorithm when arguments have more words than this limit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static var directMultiplicationLimit: Int
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a by b and return the result.

    +
    +

    Note

    + This uses the naive O(n^2) multiplication algorithm unless both arguments have more than +BigUInt.directMultiplicationLimit words. + +
    +

    Complexity

    + O(n^log2(3)) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func * (x: BigUInt, y: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + *=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Multiply a by b and store the result in a.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func *= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Primality Testing

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Returns true iff this integer passes the strong probable prime test for the specified base.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isStrongProbablePrime(_ base: BigUInt) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + isPrime(rounds:) + +
    +
    +
    +
    +
    +
    +

    Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

    + +

    This function performs a probabilistic Miller-Rabin Primality Test, consisting of rounds iterations, +each calculating the strong probable prime test for a random base. The number of rounds is 10 by default, +but you may specify your own choice.

    + +

    To speed things up, the function checks if self is divisible by the first few prime numbers before +diving into (slower) Miller-Rabin testing.

    + +

    Also, when self is less than 82 bits wide, isPrime does a deterministic test that is guaranteed to +return a correct result.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func isPrime(rounds: Int = 10) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width uniformly distributed random bits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(withMaximumWidth width: Int, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + width + + +
    +

    The maximum number of one bits in the result.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A big unsigned integer less than 1 << width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width uniformly distributed random bits.

    +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(withMaximumWidth width: Int) -> BigUInt
    + +
    +
    +
    +

    Parameters

    + + + + + + + +
    + + width + + +
    +

    The maximum number of one bits in the result.

    +
    +
    +
    +
    +

    Return Value

    +

    A big unsigned integer less than 1 << width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

    +
    +

    Note

    +

    If width is zero, the result is zero.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(withExactWidth width: Int, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + width + + +
    +

    The number of bits required to represent the answer.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer whose width is width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

    +
    +

    Note

    + If width is zero, the result is zero. + +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(withExactWidth width: Int) -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer whose width is width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a uniformly distributed random unsigned integer that’s less than the specified limit.

    +
    +

    Precondition

    +

    limit > 0.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger<RNG>(lessThan limit: BigUInt, using generator: inout RNG) -> BigUInt where RNG : RandomNumberGenerator
    + +
    +
    +
    +

    Parameters

    + + + + + + + + + + + +
    + + limit + + +
    +

    The upper bound on the result.

    +
    +
    + + generator + + +
    +

    The source of randomness.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer that is less than limit.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Create a uniformly distributed random unsigned integer that’s less than the specified limit.

    +
    +

    Precondition

    + limit > 0. + +
    +

    Note

    +

    I use a SystemRandomGeneratorGenerator as the source of randomness.

    + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func randomInteger(lessThan limit: BigUInt) -> BigUInt
    + +
    +
    +
    +

    Parameters

    + + + + + + + +
    + + limit + + +
    +

    The upper bound on the result.

    +
    +
    +
    +
    +

    Return Value

    +

    A random big unsigned integer that is less than limit.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Shift Operators

+

+
+
+
    +
  • +
    + + + + >>=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >>= <Other>(lhs: inout BigUInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func <<= <Other>(lhs: inout BigUInt, rhs: Other) where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + >>(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func >> <Other>(lhs: BigUInt, rhs: Other) -> BigUInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + <<(_:_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func << <Other>(lhs: BigUInt, rhs: Other) -> BigUInt where Other : BinaryInteger
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Square Root

+

+
+
+
    +
  • +
    + + + + squareRoot() + +
    +
    +
    +
    +
    +
    +

    Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func squareRoot() -> BigUInt
    + +
    +
    +
    +

    Return Value

    +

    floor(sqrt(self))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Stride + +
    +
    +
    +
    +
    +
    +

    A type that can represent the distance between two values ofa BigUInt.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public typealias Stride = BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + advanced(by:) + +
    +
    +
    +
    +
    +
    +

    Adds n to self and returns the result. Traps if the result would be less than zero.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func advanced(by n: BigInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + distance(to:) + +
    +
    +
    +
    +
    +
    +

    Returns the (potentially negative) difference between self and other as a BigInt. Never traps.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func distance(to other: BigUInt) -> BigInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

String Conversion

+

+
+
+
    +
  • +
    + + + + init(_:radix:) + +
    +
    +
    +
    +
    +
    +

    Initialize a big integer from an ASCII representation in a given radix. Numerals above 9 are represented by +letters from the English alphabet.

    +
    +

    Requires

    + radix > 1 && radix < 36 + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init?<S>(_ text: S, radix: Int = 10) where S : StringProtocol
    + +
    +
    +
    +

    Return Value

    +

    The integer represented by text, or nil if text contains a character that does not represent a numeral in radix.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from a Unicode scalar. +The scalar must represent a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(unicodeScalarLiteral value: UnicodeScalar)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Initialize a new big integer from an extended grapheme cluster. +The cluster must consist of a decimal digit.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(extendedGraphemeClusterLiteral value: String)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(stringLiteral:) + +
    +
    +
    +
    +
    +
    +

    Initialize a new big integer from a decimal number represented by a string literal of arbitrary length. +The string must contain only decimal digits.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init(stringLiteral value: StringLiteralType)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + description + +
    +
    +
    +
    +
    +
    +

    Return the decimal representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var description: String { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + playgroundDescription + +
    +
    +
    +
    +
    +
    +

    Return the playground quick look representation of this integer.

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var playgroundDescription: Any { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ + +
+ +

Subtraction

+

+
+
+
    +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer in place, and return a flag indicating if the operation caused an +arithmetic overflow. other is shifted shift digits to the left before being subtracted.

    +
    +

    Note

    + If the result indicates an overflow, then self becomes the twos’ complement of the absolute difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func subtractReportingOverflow(_ b: BigUInt, shiftedBy shift: Int = 0) -> Bool
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer, returning the difference and a flag indicating arithmetic overflow. +other is shifted shift digits to the left before being subtracted.

    +
    +

    Note

    + If overflow is true, then the result value is the twos’ complement of the absolute value of the difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtractingReportingOverflow(_ other: BigUInt, shiftedBy shift: Int) -> (partialValue: BigUInt, overflow: Bool)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtracts other from self, returning the result and a flag indicating arithmetic overflow.

    +
    +

    Note

    + When the operation overflows, then partialValue is the twos’ complement of the absolute value of the difference. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtractingReportingOverflow(_ other: BigUInt) -> (partialValue: BigUInt, overflow: Bool)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract other from this integer in place. +other is shifted shift digits to the left before being subtracted.

    +
    +

    Requires

    + self >= other * 2^shift + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func subtract(_ other: BigUInt, shiftedBy shift: Int = 0)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • + +
    +
    +
    +
    +
    +

    Subtract b from this integer, and return the difference. +b is shifted shift digits to the left before being subtracted.

    +
    +

    Requires

    + self >= b * 2^shift + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public func subtracting(_ other: BigUInt, shiftedBy shift: Int = 0) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + decrement(shiftedBy:) + +
    +
    +
    +
    +
    +
    +

    Decrement this integer by one.

    +
    +

    Requires

    + !isZero + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public mutating func decrement(shiftedBy shift: Int = 0)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and return the result.

    +
    +

    Requires

    + a >= b + +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func - (a: BigUInt, b: BigUInt) -> BigUInt
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + -=(_:_:) + +
    +
    +
    +
    +
    +
    +

    Subtract b from a and store the result in a.

    +
    +

    Requires

    + a >= b + +
    +

    Complexity

    + O(a.count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public static func -= (a: inout BigUInt, b: BigUInt)
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(bitAt:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(bitAt index: Int) -> Bool { get set }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + bitWidth + +
    +
    +
    +
    +
    +
    +

    The minimum number of bits required to represent this integer in binary.

    +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var bitWidth: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    floor(log2(2 * self + 1))

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + leadingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    The number of leading zero bits in the binary representation of this integer in base 2^(Word.bitWidth). +This is useful when you need to normalize a BigUInt such that the top bit of its most significant word is 1.

    +
    +

    Note

    + 0 is considered to have zero leading zero bits. + +
    +

    See also

    + width + +
    +

    Complexity

    + O(1) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var leadingZeroBitCount: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    A value in 0...(Word.bitWidth - 1).

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + trailingZeroBitCount + +
    +
    +
    +
    +
    +
    +

    The number of trailing zero bits in the binary representation of this integer.

    +
    +

    Note

    + 0 is considered to have zero trailing zero bits. + +
    +

    Complexity

    + O(count) + +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var trailingZeroBitCount: Int { get }
    + +
    +
    +
    +

    Return Value

    +

    A value in 0...width.

    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + Words + +
    +
    +
    +
    +
    +
    + + See more +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public struct Words : RandomAccessCollection
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + words + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var words: Words { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(words:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public init<Words>(words: Words) where Words : Sequence, Words.Element == BigUInt.Word
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt/Words.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt/Words.html new file mode 100644 index 0000000..45577c2 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt/Words.html @@ -0,0 +1,215 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + Words Structure Reference +

+ +
+ +
+ +
+
+

Words

+
+
+ + 
public struct Words : RandomAccessCollection
+ +
+
+ +
+ Show on GitHub +
+
+
+ +
+
+
+
    +
  • +
    + + + + startIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var startIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + endIndex + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public var endIndex: Int { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + subscript(_:) + +
    +
    +
    +
    +
    +
    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    public subscript(index: Int) -> Word { get }
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
+
+
+
+ +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/highlight.css b/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/highlight.css new file mode 100644 index 0000000..c170357 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/highlight.css @@ -0,0 +1,202 @@ +/*! Jazzy - https://github.com/realm/jazzy + * Copyright Realm Inc. + * SPDX-License-Identifier: MIT + */ +/* Credit to https://gist.github.com/wataru420/2048287 */ +.highlight .c { + color: #999988; + font-style: italic; } + +.highlight .err { + color: #a61717; + background-color: #e3d2d2; } + +.highlight .k { + color: #000000; + font-weight: bold; } + +.highlight .o { + color: #000000; + font-weight: bold; } + +.highlight .cm { + color: #999988; + font-style: italic; } + +.highlight .cp { + color: #999999; + font-weight: bold; } + +.highlight .c1 { + color: #999988; + font-style: italic; } + +.highlight .cs { + color: #999999; + font-weight: bold; + font-style: italic; } + +.highlight .gd { + color: #000000; + background-color: #ffdddd; } + +.highlight .gd .x { + color: #000000; + background-color: #ffaaaa; } + +.highlight .ge { + color: #000000; + font-style: italic; } + +.highlight .gr { + color: #aa0000; } + +.highlight .gh { + color: #999999; } + +.highlight .gi { + color: #000000; + background-color: #ddffdd; } + +.highlight .gi .x { + color: #000000; + background-color: #aaffaa; } + +.highlight .go { + color: #888888; } + +.highlight .gp { + color: #555555; } + +.highlight .gs { + font-weight: bold; } + +.highlight .gu { + color: #aaaaaa; } + +.highlight .gt { + color: #aa0000; } + +.highlight .kc { + color: #000000; + font-weight: bold; } + +.highlight .kd { + color: #000000; + font-weight: bold; } + +.highlight .kp { + color: #000000; + font-weight: bold; } + +.highlight .kr { + color: #000000; + font-weight: bold; } + +.highlight .kt { + color: #445588; } + +.highlight .m { + color: #009999; } + +.highlight .s { + color: #d14; } + +.highlight .na { + color: #008080; } + +.highlight .nb { + color: #0086B3; } + +.highlight .nc { + color: #445588; + font-weight: bold; } + +.highlight .no { + color: #008080; } + +.highlight .ni { + color: #800080; } + +.highlight .ne { + color: #990000; + font-weight: bold; } + +.highlight .nf { + color: #990000; } + +.highlight .nn { + color: #555555; } + +.highlight .nt { + color: #000080; } + +.highlight .nv { + color: #008080; } + +.highlight .ow { + color: #000000; + font-weight: bold; } + +.highlight .w { + color: #bbbbbb; } + +.highlight .mf { + color: #009999; } + +.highlight .mh { + color: #009999; } + +.highlight .mi { + color: #009999; } + +.highlight .mo { + color: #009999; } + +.highlight .sb { + color: #d14; } + +.highlight .sc { + color: #d14; } + +.highlight .sd { + color: #d14; } + +.highlight .s2 { + color: #d14; } + +.highlight .se { + color: #d14; } + +.highlight .sh { + color: #d14; } + +.highlight .si { + color: #d14; } + +.highlight .sx { + color: #d14; } + +.highlight .sr { + color: #009926; } + +.highlight .s1 { + color: #d14; } + +.highlight .ss { + color: #990073; } + +.highlight .bp { + color: #999999; } + +.highlight .vc { + color: #008080; } + +.highlight .vg { + color: #008080; } + +.highlight .vi { + color: #008080; } + +.highlight .il { + color: #009999; } diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/jazzy.css b/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/jazzy.css new file mode 100644 index 0000000..c7bb9fe --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/css/jazzy.css @@ -0,0 +1,404 @@ +/*! Jazzy - https://github.com/realm/jazzy + * Copyright Realm Inc. + * SPDX-License-Identifier: MIT + */ +*, *:before, *:after { + box-sizing: inherit; } + +body { + margin: 0; + background: #fff; + color: #333; + font: 16px/1.7 "Helvetica Neue", Helvetica, Arial, sans-serif; + letter-spacing: .2px; + -webkit-font-smoothing: antialiased; + box-sizing: border-box; } + +h1 { + font-size: 2rem; + font-weight: 700; + margin: 1.275em 0 0.6em; } + +h2 { + font-size: 1.75rem; + font-weight: 700; + margin: 1.275em 0 0.3em; } + +h3 { + font-size: 1.5rem; + font-weight: 700; + margin: 1em 0 0.3em; } + +h4 { + font-size: 1.25rem; + font-weight: 700; + margin: 1.275em 0 0.85em; } + +h5 { + font-size: 1rem; + font-weight: 700; + margin: 1.275em 0 0.85em; } + +h6 { + font-size: 1rem; + font-weight: 700; + margin: 1.275em 0 0.85em; + color: #777; } + +p { + margin: 0 0 1em; } + +ul, ol { + padding: 0 0 0 2em; + margin: 0 0 0.85em; } + +blockquote { + margin: 0 0 0.85em; + padding: 0 15px; + color: #858585; 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+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigInt Reference +

+ +
+ +
+ +
+
+ +

BigInt

+ + + +

Swift 5 +License +Platform

+ +

Build Status +Code Coverage +jazzy +Carthage compatible +Version

+

Overview

+ +

This repository provides integer types of arbitrary width implemented +in 100% pure Swift. The underlying representation is in base 2^64, using Array<UInt64>.

+ +

This module is handy when you need an integer type that’s wider than UIntMax, but +you don’t want to add The GNU Multiple Precision Arithmetic Library +as a dependency.

+ +

Two big integer types are included: BigUInt and BigInt, +the latter being the signed variant. +Both of these are Swift structs with copy-on-write value semantics, and they can be used much +like any other integer type.

+ +

The library provides implementations for some of the most frequently useful functions on +big integers, including

+ + + +

The implementations are intended to be reasonably efficient, but they are unlikely to be +competitive with GMP at all, even when I happened to implement an algorithm with same asymptotic +behavior as GMP. (I haven’t performed a comparison benchmark, though.)

+ +

The library has 100% unit test coverage. Sadly this does not imply that there are no bugs +in it.

+

API Documentation

+ +

Generated API docs are available at https://attaswift.github.io/BigInt/.

+

License

+ +

BigInt can be used, distributed and modified under the MIT license.

+

Requirements and Integration

+ +

BigInt 4.0.0 requires Swift 4.2 (The last version with support for Swift 3.x was BigInt 2.1.0. +The last version with support for Swift 2 was BigInt 1.3.0.)

+ + + + + + + + + + + + + + + + + + + + + + + +
Swift Versionlast BigInt Version
3.x2.1.0
4.03.1.0
4.24.0.0
5.x5.3.0
+ +

BigInt deploys to macOS 10.10, iOS 9, watchOS 2 and tvOS 9. +It has been tested on the latest OS releases only—however, as the module uses very few platform-provided APIs, +there should be very few issues with earlier versions.

+ +

BigInt uses no APIs specific to Apple platforms, so +it should be easy to port it to other operating systems.

+ +

Setup instructions:

+ +
    +

  • Swift Package Manager: +Although the Package Manager is still in its infancy, BigInt provides experimental support for it. +Add this to the dependency section of your Package.swift manifest:

    +
    .package(url: "https://github.com/attaswift/BigInt.git", from: "5.3.0")
+
    • +

  • CocoaPods: Put this in your Podfile:

    +
    pod 'BigInt', '~> 5.3'
+
    • +

  • Carthage: Put this in your Cartfile:

    +
    github "attaswift/BigInt" ~> 5.3
+
    • +
+

Implementation notes

+ +

BigUInt is a MutableCollectionType of its 64-bit digits, with the least significant +digit at index 0. As a convenience, BigUInt allows you to subscript it with indexes at +or above its count. The subscript operator returns 0 for out-of-bound gets and +automatically extends the array on out-of-bound sets. This makes memory management simpler.

+ +

BigInt is just a tiny wrapper around a BigUInt [absolute value][magnitude] and a +sign bit, both of which are accessible as public read-write properties.

+

Why is there no generic BigInt<Digit> type?

+ +

The types provided by BigInt are not parametric—this is very much intentional, as +Swift generics cost us dearly at runtime in this use case. In every approach I tried, +making arbitrary-precision arithmetic operations work with a generic Digit type parameter +resulted in code that was literally ten times slower. If you can make the algorithms generic +without such a huge performance hit, please enlighten me!

+ +

This is an area that I plan to investigate more, as it would be useful to have generic +implementations for arbitrary-width arithmetic operations. (Polynomial division and decimal bases +are two examples.) The library already implements double-digit multiplication and division as +extension methods on a protocol with an associated type requirement; this has not measurably affected +performance. Unfortunately, the same is not true for BigUInt‘s methods.

+ +

Of course, as a last resort, we could just duplicate the code to create a separate +generic variant that was slower but more flexible.

+

Calculation Samples

+

Obligatory Factorial Demo

+ +

It is easy to use BigInt to calculate the factorial function for any integer:

+
import BigInt
+
+func factorial(_ n: Int) -> BigInt {
+    return (1 ... n).map { BigInt($0) }.reduce(BigInt(1), *)
+}
+
+print(factorial(10))
+==> 362880
+
+print(factorial(100))
+==> 93326215443944152681699238856266700490715968264381621468592963895217599993229915
+    6089414639761565182862536979208272237582511852109168640000000000000000000000
+
+print(factorial(1000))
+==> 40238726007709377354370243392300398571937486421071463254379991042993851239862902
+    05920442084869694048004799886101971960586316668729948085589013238296699445909974
+    24504087073759918823627727188732519779505950995276120874975462497043601418278094
+    64649629105639388743788648733711918104582578364784997701247663288983595573543251
+    31853239584630755574091142624174743493475534286465766116677973966688202912073791
+    43853719588249808126867838374559731746136085379534524221586593201928090878297308
+    43139284440328123155861103697680135730421616874760967587134831202547858932076716
+    91324484262361314125087802080002616831510273418279777047846358681701643650241536
+    91398281264810213092761244896359928705114964975419909342221566832572080821333186
+    11681155361583654698404670897560290095053761647584772842188967964624494516076535
+    34081989013854424879849599533191017233555566021394503997362807501378376153071277
+    61926849034352625200015888535147331611702103968175921510907788019393178114194545
+    25722386554146106289218796022383897147608850627686296714667469756291123408243920
+    81601537808898939645182632436716167621791689097799119037540312746222899880051954
+    44414282012187361745992642956581746628302955570299024324153181617210465832036786
+    90611726015878352075151628422554026517048330422614397428693306169089796848259012
+    54583271682264580665267699586526822728070757813918581788896522081643483448259932
+    66043367660176999612831860788386150279465955131156552036093988180612138558600301
+    43569452722420634463179746059468257310379008402443243846565724501440282188525247
+    09351906209290231364932734975655139587205596542287497740114133469627154228458623
+    77387538230483865688976461927383814900140767310446640259899490222221765904339901
+    88601856652648506179970235619389701786004081188972991831102117122984590164192106
+    88843871218556461249607987229085192968193723886426148396573822911231250241866493
+    53143970137428531926649875337218940694281434118520158014123344828015051399694290
+    15348307764456909907315243327828826986460278986432113908350621709500259738986355
+    42771967428222487575867657523442202075736305694988250879689281627538488633969099
+    59826280956121450994871701244516461260379029309120889086942028510640182154399457
+    15680594187274899809425474217358240106367740459574178516082923013535808184009699
+    63725242305608559037006242712434169090041536901059339838357779394109700277534720
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000
+
+ +

Well, I guess that’s all right, but it’s not very interesting. Let’s try something more useful.

+

RSA Cryptography

+ +

The BigInt module provides all necessary parts to implement an (overly) +simple RSA cryptography system.

+ +

Let’s start with a simple function that generates a random n-bit prime. The module +includes a function to generate random integers of a specific size, and also an +isPrime method that performs the Miller–Rabin primality test. These are all we need:

+
func generatePrime(_ width: Int) -> BigUInt {
+    while true {
+        var random = BigUInt.randomInteger(withExactWidth: width)
+        random |= BigUInt(1)
+        if random.isPrime() {
+            return random
+        }
+    }
+}
+
+let p = generatePrime(1024)
+==> 13308187650642192396256419911012544845370493728424936791561478318443071617242872
+    81980956747087187419914435169914161116601678883358611076800743580556055714173922
+    08406194264346635072293912609713085260354070700055888678514690878149253177960273
+    775659537560220378850112471985434373425534121373466492101182463962031
+
+let q = generatePrime(1024)
+==> 17072954422657145489547308812333368925007949054501204983863958355897172093173783
+    10108226596943999553784252564650624766276133157586733504784616138305701168410157
+    80784336308507083874651158029602582993233111593356512531869546706885170044355115
+    669728424124141763799008880327106952436883614887277350838425336156327
+
+ +

Cool! Now that we have two large primes, we can produce an RSA public/private keypair +out of them.

+
typealias Key = (modulus: BigUInt, exponent: BigUInt)
+
+let n = p * q
+==> 22721008120758282530010953362926306641542233757318103044313144976976529789946696
+    15454966720907712515917481418981591379647635391260569349099666410127279690367978
+    81184375533755888994370640857883754985364288413796100527262763202679037134021810
+    57933883525572232242690805678883227791774442041516929419640051653934584376704034
+    63953169772816907280591934423237977258358097846511079947337857778137177570668391
+    57455417707100275487770399281417352829897118140972240757708561027087217205975220
+    02207275447810167397968435583004676293892340103729490987263776871467057582629588
+    916498579594964478080508868267360515953225283461208420137
+
+let e: BigUInt = 65537
+let phi = (p - 1) * (q - 1)
+let d = e.inverse(phi)!     // d * e % phi == 1
+==> 13964664343869014759736350480776837992604500903989703383202366291905558996277719
+    77822086142456362972689566985925179681282432115598451765899180050962461295573831
+    37069237934291884106584820998146965085531433195106686745474222222620986858696591
+    69836532468835154412554521152103642453158895363417640676611704542784576974374954
+    45789456921660619938185093118762690200980720312508614337759620606992462563490422
+    76669559556568917533268479190948959560397579572761529852891246283539604545691244
+    89999692877158676643042118662613875863504016129837099223040687512684532694527109
+    80742873307409704484365002175294665608486688146261327793
+
+let publicKey: Key = (n, e)
+let privateKey: Key = (n, d)
+
+ +

In RSA, modular exponentiation is used to encrypt (and decrypt) messages.

+
func encrypt(_ message: BigUInt, key: Key) -> BigUInt {
+    return message.power(key.exponent, modulus: key.modulus)
+}
+
+ +

Let’s try out our new keypair by converting a string into UTF-8, interpreting +the resulting binary representation as a big integer, and encrypting it with the +public key. BigUInt has an initializer that takes an NSData, so this is pretty +easy to do:

+
let secret: BigUInt = BigUInt("Arbitrary precision arithmetic is fun!".dataUsingEncoding(NSUTF8StringEncoding)!)
+==> 83323446846105976078466731524728681905293067701804838925389198929123912971229457
+    68818568737
+
+let cyphertext = encrypt(secret, key: publicKey)
+==> 95186982543485985200666516508066093880038842892337880561554910904277290917831453
+    54854954722744805432145474047391353716305176389470779020645959135298322520888633
+    61674945129099575943384767330342554525120384485469428048962027149169876127890306
+    77028183904699491962050888974524603226290836984166164759586952419343589385279641
+    47999991283152843977988979846238236160274201261075188190509539751990119132013021
+    74866638595734222867005089157198503204192264814750832072844208520394603054901706
+    06024394731371973402595826456435944968439153664617188570808940022471990638468783
+    49208193955207336172861151720299024935127021719852700882
+
+ +

Well, it looks encrypted all right, but can we get the original message back? +In theory, encrypting the cyphertext with the private key returns the original message. +Let’s see:

+
let plaintext = encrypt(cyphertext, key: privateKey)
+==> 83323446846105976078466731524728681905293067701804838925389198929123912971229457
+    68818568737
+
+let received = String(data: plaintext.serialize(), encoding: NSUTF8StringEncoding)
+==> "Arbitrary precision arithmetic is fun!"
+
+ +

Yay! This is truly terrific, but please don’t use this example code in an actual +cryptography system. RSA has lots of subtle (and some not so subtle) complications +that we ignored to keep this example short.

+

Calculating the Digits of π

+ +

Another fun activity to try with BigInts is to generate the digits of π. +Let’s try implementing Jeremy Gibbon’s spigot algorithm. +This is a rather slow algorithm as π-generators go, but it makes up for it with its grooviness +factor: it’s remarkably short, it only uses (big) integer arithmetic, and every iteration +produces a single new digit in the base-10 representation of π. This naturally leads to an +implementation as an infinite GeneratorType:

+
func digitsOfPi() -> AnyGenerator<Int> {
+    var q: BigUInt = 1
+    var r: BigUInt = 180
+    var t: BigUInt = 60
+    var i: UInt64 = 2 // Does not overflow until digit #826_566_842
+    return AnyIterator {
+        let u: UInt64 = 3 * (3 * i + 1) * (3 * i + 2)
+        let y = (q.multiplied(byDigit: 27 * i - 12) + 5 * r) / (5 * t)
+        (q, r, t) = (
+            10 * q.multiplied(byDigit: i * (2 * i - 1)),
+            10 * (q.multiplied(byDigit: 5 * i - 2) + r - y * t).multiplied(byDigit: u),
+            t.multiplied(byDigit: u))
+        i += 1
+        return Int(y[0])
+    }
+}
+
+ +

Well, that was surprisingly easy. But does it work? Of course it does!

+
var digits = "π ≈ "
+var count = 0
+for digit in digitsOfPi() {
+    assert(digit < 10)
+    digits += String(digit)
+    count += 1
+    if count == 1 { digits += "." }
+    if count == 1000 { break }
+}
+
+digits
+==> π ≈ 3.14159265358979323846264338327950288419716939937510582097494459230781640628
+    62089986280348253421170679821480865132823066470938446095505822317253594081284811
+    17450284102701938521105559644622948954930381964428810975665933446128475648233786
+    78316527120190914564856692346034861045432664821339360726024914127372458700660631
+    55881748815209209628292540917153643678925903600113305305488204665213841469519415
+    11609433057270365759591953092186117381932611793105118548074462379962749567351885
+    75272489122793818301194912983367336244065664308602139494639522473719070217986094
+    37027705392171762931767523846748184676694051320005681271452635608277857713427577
+    89609173637178721468440901224953430146549585371050792279689258923542019956112129
+    02196086403441815981362977477130996051870721134999999837297804995105973173281609
+    63185950244594553469083026425223082533446850352619311881710100031378387528865875
+    33208381420617177669147303598253490428755468731159562863882353787593751957781857
+    780532171226806613001927876611195909216420198
+
+ +

Now go and have some fun with big integers on your own!

+ +
+
+ + +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ + + diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.js b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.js new file mode 100755 index 0000000..1984416 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.js @@ -0,0 +1,74 @@ +// Jazzy - https://github.com/realm/jazzy +// Copyright Realm Inc. +// SPDX-License-Identifier: MIT + +window.jazzy = {'docset': false} +if (typeof window.dash != 'undefined') { + document.documentElement.className += ' dash' + window.jazzy.docset = true +} +if (navigator.userAgent.match(/xcode/i)) { + document.documentElement.className += ' xcode' + window.jazzy.docset = true +} + +function toggleItem($link, $content) { + var animationDuration = 300; + $link.toggleClass('token-open'); + $content.slideToggle(animationDuration); +} + +function itemLinkToContent($link) { + return $link.parent().parent().next(); +} + +// On doc load + hash-change, open any targetted item +function openCurrentItemIfClosed() { + if (window.jazzy.docset) { + return; + } + var $link = $(`a[name="${location.hash.substring(1)}"]`).nextAll('.token'); + $content = itemLinkToContent($link); + if ($content.is(':hidden')) { + toggleItem($link, $content); + } +} + +$(openCurrentItemIfClosed); +$(window).on('hashchange', openCurrentItemIfClosed); + +// On item link ('token') click, toggle its discussion +$('.token').on('click', function(event) { + if (window.jazzy.docset) { + return; + } + var $link = $(this); + toggleItem($link, itemLinkToContent($link)); + + // Keeps the document from jumping to the hash. + var href = $link.attr('href'); + if (history.pushState) { + history.pushState({}, '', href); + } else { + location.hash = href; + } + event.preventDefault(); +}); + +// Clicks on links to the current, closed, item need to open the item +$("a:not('.token')").on('click', function() { + if (location == this.href) { + openCurrentItemIfClosed(); + } +}); + +// KaTeX rendering +if ("katex" in window) { + $($('.math').each( (_, element) => { + katex.render(element.textContent, element, { + displayMode: $(element).hasClass('m-block'), + throwOnError: false, + trust: true + }); + })) +} diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.search.js b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.search.js new file mode 100644 index 0000000..359cdbb --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.search.js @@ -0,0 +1,74 @@ +// Jazzy - https://github.com/realm/jazzy +// Copyright Realm Inc. +// SPDX-License-Identifier: MIT + +$(function(){ + var $typeahead = $('[data-typeahead]'); + var $form = $typeahead.parents('form'); + var searchURL = $form.attr('action'); + + function displayTemplate(result) { + return result.name; + } + + function suggestionTemplate(result) { + var t = '
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r=t.consumeLexeme();if(void 0!=r){var i=parseInt(r.str,10);if(isNaN(i)){var n="edit distance must be numeric";throw new e.QueryParseError(n,r.start,r.end)}t.currentClause.editDistance=i;var s=t.peekLexeme();if(void 0==s)return void t.nextClause();switch(s.type){case e.QueryLexer.TERM:return t.nextClause(),e.QueryParser.parseTerm;case e.QueryLexer.FIELD:return t.nextClause(),e.QueryParser.parseField;case e.QueryLexer.EDIT_DISTANCE:return e.QueryParser.parseEditDistance;case e.QueryLexer.BOOST:return e.QueryParser.parseBoost;case e.QueryLexer.PRESENCE:return t.nextClause(),e.QueryParser.parsePresence;default:var n="Unexpected lexeme type '"+s.type+"'";throw new e.QueryParseError(n,s.start,s.end)}}},e.QueryParser.parseBoost=function(t){var r=t.consumeLexeme();if(void 0!=r){var i=parseInt(r.str,10);if(isNaN(i)){var n="boost must be numeric";throw new e.QueryParseError(n,r.start,r.end)}t.currentClause.boost=i;var s=t.peekLexeme();if(void 0==s)return void t.nextClause();switch(s.type){case e.QueryLexer.TERM:return t.nextClause(),e.QueryParser.parseTerm;case e.QueryLexer.FIELD:return t.nextClause(),e.QueryParser.parseField;case e.QueryLexer.EDIT_DISTANCE:return e.QueryParser.parseEditDistance;case e.QueryLexer.BOOST:return e.QueryParser.parseBoost;case e.QueryLexer.PRESENCE:return t.nextClause(),e.QueryParser.parsePresence;default:var n="Unexpected lexeme type '"+s.type+"'";throw new e.QueryParseError(n,s.start,s.end)}}},function(e,t){"function"==typeof define&&define.amd?define(t):"object"==typeof exports?module.exports=t():e.lunr=t()}(this,function(){return e})}(); diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/typeahead.jquery.js b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/typeahead.jquery.js new file mode 100644 index 0000000..3a2d2ab --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/typeahead.jquery.js @@ -0,0 +1,1694 @@ +/*! + * typeahead.js 1.3.1 + * https://github.com/corejavascript/typeahead.js + * Copyright 2013-2020 Twitter, Inc. and other contributors; Licensed MIT + */ + + +(function(root, factory) { + if (typeof define === "function" && define.amd) { + define([ "jquery" ], function(a0) { + return factory(a0); + }); + } else if (typeof module === "object" && module.exports) { + module.exports = factory(require("jquery")); + } else { + factory(root["jQuery"]); + } +})(this, function($) { + var _ = function() { + "use strict"; + return { + isMsie: function() { + return /(msie|trident)/i.test(navigator.userAgent) ? navigator.userAgent.match(/(msie |rv:)(\d+(.\d+)?)/i)[2] : false; + }, + isBlankString: function(str) { + return !str || /^\s*$/.test(str); + }, + escapeRegExChars: function(str) { + return str.replace(/[\-\[\]\/\{\}\(\)\*\+\?\.\\\^\$\|]/g, "\\$&"); + }, + isString: function(obj) { + return typeof obj === "string"; + }, + isNumber: function(obj) { + return typeof obj === "number"; + }, + isArray: $.isArray, + isFunction: $.isFunction, + isObject: $.isPlainObject, + isUndefined: function(obj) { + return typeof obj === "undefined"; + }, + isElement: function(obj) { + return !!(obj && obj.nodeType === 1); + }, + isJQuery: function(obj) { + return obj instanceof $; + }, + toStr: function toStr(s) { + return _.isUndefined(s) || s === null ? "" : s + ""; + }, + bind: $.proxy, + each: function(collection, cb) { + $.each(collection, reverseArgs); + function reverseArgs(index, value) { + return cb(value, index); + } + }, + map: $.map, + filter: $.grep, + every: function(obj, test) { + var result = true; + if (!obj) { + return result; + } + $.each(obj, function(key, val) { + if (!(result = test.call(null, val, key, obj))) { + return false; + } + }); + return !!result; + }, + some: function(obj, test) { + var result = false; + if (!obj) { + return result; + } + $.each(obj, function(key, val) { + if (result = test.call(null, val, key, obj)) { + return false; + } + }); + return !!result; + }, + mixin: $.extend, + identity: function(x) { + return x; + }, + clone: function(obj) { + return $.extend(true, {}, obj); + }, + getIdGenerator: function() { + var counter = 0; + return function() { + return counter++; + }; + }, + templatify: function templatify(obj) { + return $.isFunction(obj) ? obj : template; + function template() { + return String(obj); + } + }, + defer: function(fn) { + setTimeout(fn, 0); + }, + debounce: function(func, wait, immediate) { + var timeout, result; + return function() { + var context = this, args = arguments, later, callNow; + later = function() { + timeout = null; + if (!immediate) { + result = func.apply(context, args); + } + }; + callNow = immediate && !timeout; + clearTimeout(timeout); + timeout = setTimeout(later, wait); + if (callNow) { + result = func.apply(context, args); + } + return result; + }; + }, + throttle: function(func, wait) { + var context, args, timeout, result, previous, later; + previous = 0; + later = function() { + previous = new Date(); + timeout = null; + result = func.apply(context, args); + }; + return function() { + var now = new Date(), remaining = wait - (now - previous); + context = this; + args = arguments; + if (remaining <= 0) { + clearTimeout(timeout); + timeout = null; + previous = now; + result = func.apply(context, args); + } else if (!timeout) { + timeout = setTimeout(later, remaining); + } + return result; + }; + }, + stringify: function(val) { + return _.isString(val) ? val : JSON.stringify(val); + }, + guid: function() { + function _p8(s) { + var p = (Math.random().toString(16) + "000000000").substr(2, 8); + return s ? "-" + p.substr(0, 4) + "-" + p.substr(4, 4) : p; + } + return "tt-" + _p8() + _p8(true) + _p8(true) + _p8(); + }, + noop: function() {} + }; + }(); + var WWW = function() { + "use strict"; + var defaultClassNames = { + wrapper: "twitter-typeahead", + input: "tt-input", + hint: "tt-hint", + menu: "tt-menu", + dataset: "tt-dataset", + suggestion: "tt-suggestion", + selectable: "tt-selectable", + empty: "tt-empty", + open: "tt-open", + cursor: "tt-cursor", + highlight: "tt-highlight" + }; + return build; + function build(o) { + var www, classes; + classes = _.mixin({}, defaultClassNames, o); + www = { + css: buildCss(), + classes: classes, + html: buildHtml(classes), + selectors: buildSelectors(classes) + }; + return { + css: www.css, + html: www.html, + classes: www.classes, + selectors: www.selectors, + mixin: function(o) { + _.mixin(o, www); + } + }; + } + function buildHtml(c) { + return { + wrapper: '', + menu: '
' + }; + } + function buildSelectors(classes) { + var selectors = {}; + _.each(classes, function(v, k) { + selectors[k] = "." + v; + }); + return selectors; + } + function buildCss() { + var css = { + wrapper: { + position: "relative", + display: "inline-block" + }, + hint: { + position: "absolute", + top: "0", + left: "0", + borderColor: "transparent", + boxShadow: "none", + opacity: "1" + }, + input: { + position: "relative", + verticalAlign: "top", + backgroundColor: "transparent" + }, + inputWithNoHint: { + position: "relative", + verticalAlign: "top" + }, + menu: { + position: "absolute", + top: "100%", + left: "0", + zIndex: "100", + display: "none" + }, + ltr: { + left: "0", + right: "auto" + }, + rtl: { + left: "auto", + right: " 0" + } + }; + if (_.isMsie()) { + _.mixin(css.input, { + backgroundImage: "url(data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)" + }); + } + return css; + } + }(); + var EventBus = function() { + "use strict"; + var namespace, deprecationMap; + namespace = "typeahead:"; + deprecationMap = { + render: "rendered", + cursorchange: "cursorchanged", + select: "selected", + autocomplete: "autocompleted" + }; + function EventBus(o) { + if (!o || !o.el) { + $.error("EventBus initialized without el"); + } + this.$el = $(o.el); + } + _.mixin(EventBus.prototype, { + _trigger: function(type, args) { + var $e = $.Event(namespace + type); + this.$el.trigger.call(this.$el, $e, args || []); + return $e; + }, + before: function(type) { + var args, $e; + args = [].slice.call(arguments, 1); + $e = this._trigger("before" + type, args); + return $e.isDefaultPrevented(); + }, + trigger: function(type) { + var deprecatedType; + this._trigger(type, [].slice.call(arguments, 1)); + if (deprecatedType = deprecationMap[type]) { + this._trigger(deprecatedType, [].slice.call(arguments, 1)); + } + } + }); + return EventBus; + }(); + var EventEmitter = function() { + "use strict"; + var splitter = /\s+/, nextTick = getNextTick(); + return { + onSync: onSync, + onAsync: onAsync, + off: off, + trigger: trigger + }; + function on(method, types, cb, context) { + var type; + if (!cb) { + return this; + } + types = types.split(splitter); + cb = context ? bindContext(cb, context) : cb; + this._callbacks = this._callbacks || {}; + while (type = types.shift()) { + this._callbacks[type] = this._callbacks[type] || { + sync: [], + async: [] + }; + this._callbacks[type][method].push(cb); + } + return this; + } + function onAsync(types, cb, context) { + return on.call(this, "async", types, cb, context); + } + function onSync(types, cb, context) { + return on.call(this, "sync", types, cb, context); + } + function off(types) { + var type; + if (!this._callbacks) { + return this; + } + types = types.split(splitter); + while (type = types.shift()) { + delete this._callbacks[type]; + } + return this; + } + function trigger(types) { + var type, callbacks, args, syncFlush, asyncFlush; + if (!this._callbacks) { + return this; + } + types = types.split(splitter); + args = [].slice.call(arguments, 1); + while ((type = types.shift()) && (callbacks = this._callbacks[type])) { + syncFlush = getFlush(callbacks.sync, this, [ type ].concat(args)); + asyncFlush = getFlush(callbacks.async, this, [ type ].concat(args)); + syncFlush() && nextTick(asyncFlush); + } + return this; + } + function getFlush(callbacks, context, args) { + return flush; + function flush() { + var cancelled; + for (var i = 0, len = callbacks.length; !cancelled && i < len; i += 1) { + cancelled = callbacks[i].apply(context, args) === false; + } + return !cancelled; + } + } + function getNextTick() { + var nextTickFn; + if (window.setImmediate) { + nextTickFn = function nextTickSetImmediate(fn) { + setImmediate(function() { + fn(); + }); + }; + } else { + nextTickFn = function nextTickSetTimeout(fn) { + setTimeout(function() { + fn(); + }, 0); + }; + } + return nextTickFn; + } + function bindContext(fn, context) { + return fn.bind ? fn.bind(context) : function() { + fn.apply(context, [].slice.call(arguments, 0)); + }; + } + }(); + var highlight = function(doc) { + "use strict"; + var defaults = { + node: null, + pattern: null, + tagName: "strong", + className: null, + wordsOnly: false, + caseSensitive: false, + diacriticInsensitive: false + }; + var accented = { + A: "[AaªÀ-Åà-åĀ-ąǍǎȀ-ȃȦȧᴬᵃḀḁẚẠ-ảₐ℀℁℻⒜Ⓐⓐ㍱-㍴㎀-㎄㎈㎉㎩-㎯㏂㏊㏟㏿Ａａ]", + B: "[BbᴮᵇḂ-ḇℬ⒝Ⓑⓑ㍴㎅-㎇㏃㏈㏔㏝Ｂｂ]", + C: "[CcÇçĆ-čᶜ℀ℂ℃℅℆ℭⅭⅽ⒞Ⓒⓒ㍶㎈㎉㎝㎠㎤㏄-㏇Ｃｃ]", + D: "[DdĎďDŽ-džDZ-dzᴰᵈḊ-ḓⅅⅆⅮⅾ⒟Ⓓⓓ㋏㍲㍷-㍹㎗㎭-㎯㏅㏈Ｄｄ]", + E: "[EeÈ-Ëè-ëĒ-ěȄ-ȇȨȩᴱᵉḘ-ḛẸ-ẽₑ℡ℯℰⅇ⒠Ⓔⓔ㉐㋍㋎Ｅｅ]", + F: "[FfᶠḞḟ℉ℱ℻⒡Ⓕⓕ㎊-㎌㎙ff-fflＦｆ]", + G: "[GgĜ-ģǦǧǴǵᴳᵍḠḡℊ⒢Ⓖⓖ㋌㋍㎇㎍-㎏㎓㎬㏆㏉㏒㏿Ｇｇ]", + H: "[HhĤĥȞȟʰᴴḢ-ḫẖℋ-ℎ⒣Ⓗⓗ㋌㍱㎐-㎔㏊㏋㏗Ｈｈ]", + I: "[IiÌ-Ïì-ïĨ-İIJijǏǐȈ-ȋᴵᵢḬḭỈ-ịⁱℐℑℹⅈⅠ-ⅣⅥ-ⅨⅪⅫⅰ-ⅳⅵ-ⅸⅺⅻ⒤Ⓘⓘ㍺㏌㏕fiffiＩｉ]", + J: "[JjIJ-ĵLJ-njǰʲᴶⅉ⒥ⒿⓙⱼＪｊ]", + K: "[KkĶķǨǩᴷᵏḰ-ḵK⒦Ⓚⓚ㎄㎅㎉㎏㎑㎘㎞㎢㎦㎪㎸㎾㏀㏆㏍-㏏Ｋｋ]", + L: "[LlĹ-ŀLJ-ljˡᴸḶḷḺ-ḽℒℓ℡Ⅼⅼ⒧Ⓛⓛ㋏㎈㎉㏐-㏓㏕㏖㏿flfflＬｌ]", + M: "[MmᴹᵐḾ-ṃ℠™ℳⅯⅿ⒨Ⓜⓜ㍷-㍹㎃㎆㎎㎒㎖㎙-㎨㎫㎳㎷㎹㎽㎿㏁㏂㏎㏐㏔-㏖㏘㏙㏞㏟Ｍｍ]", + N: "[NnÑñŃ-ʼnNJ-njǸǹᴺṄ-ṋⁿℕ№⒩Ⓝⓝ㎁㎋㎚㎱㎵㎻㏌㏑Ｎｎ]", + O: "[OoºÒ-Öò-öŌ-őƠơǑǒǪǫȌ-ȏȮȯᴼᵒỌ-ỏₒ℅№ℴ⒪Ⓞⓞ㍵㏇㏒㏖Ｏｏ]", + P: "[PpᴾᵖṔ-ṗℙ⒫Ⓟⓟ㉐㍱㍶㎀㎊㎩-㎬㎰㎴㎺㏋㏗-㏚Ｐｐ]", + Q: "[Qqℚ⒬Ⓠⓠ㏃Ｑｑ]", + R: "[RrŔ-řȐ-ȓʳᴿᵣṘ-ṛṞṟ₨ℛ-ℝ⒭Ⓡⓡ㋍㍴㎭-㎯㏚㏛Ｒｒ]", + S: "[SsŚ-šſȘșˢṠ-ṣ₨℁℠⒮Ⓢⓢ㎧㎨㎮-㎳㏛㏜stＳｓ]", + T: "[TtŢ-ťȚțᵀᵗṪ-ṱẗ℡™⒯Ⓣⓣ㉐㋏㎔㏏ſtstＴｔ]", + U: "[UuÙ-Üù-üŨ-ųƯưǓǔȔ-ȗᵁᵘᵤṲ-ṷỤ-ủ℆⒰Ⓤⓤ㍳㍺Ｕｕ]", + V: "[VvᵛᵥṼ-ṿⅣ-Ⅷⅳ-ⅷ⒱Ⓥⓥⱽ㋎㍵㎴-㎹㏜㏞Ｖｖ]", + W: "[WwŴŵʷᵂẀ-ẉẘ⒲Ⓦⓦ㎺-㎿㏝Ｗｗ]", + X: "[XxˣẊ-ẍₓ℻Ⅸ-Ⅻⅸ-ⅻ⒳Ⓧⓧ㏓Ｘｘ]", + Y: "[YyÝýÿŶ-ŸȲȳʸẎẏẙỲ-ỹ⒴Ⓨⓨ㏉Ｙｙ]", + Z: "[ZzŹ-žDZ-dzᶻẐ-ẕℤℨ⒵Ⓩⓩ㎐-㎔Ｚｚ]" + }; + return function hightlight(o) { + var regex; + o = _.mixin({}, defaults, o); + if (!o.node || !o.pattern) { + return; + } + o.pattern = _.isArray(o.pattern) ? o.pattern : [ o.pattern ]; + regex = getRegex(o.pattern, o.caseSensitive, o.wordsOnly, o.diacriticInsensitive); + traverse(o.node, hightlightTextNode); + function hightlightTextNode(textNode) { + var match, patternNode, wrapperNode; + if (match = regex.exec(textNode.data)) { + wrapperNode = doc.createElement(o.tagName); + o.className && (wrapperNode.className = o.className); + patternNode = textNode.splitText(match.index); + patternNode.splitText(match[0].length); + wrapperNode.appendChild(patternNode.cloneNode(true)); + textNode.parentNode.replaceChild(wrapperNode, patternNode); + } + return !!match; + } + function traverse(el, hightlightTextNode) { + var childNode, TEXT_NODE_TYPE = 3; + for (var i = 0; i < el.childNodes.length; i++) { + childNode = el.childNodes[i]; + if (childNode.nodeType === TEXT_NODE_TYPE) { + i += hightlightTextNode(childNode) ? 1 : 0; + } else { + traverse(childNode, hightlightTextNode); + } + } + } + }; + function accent_replacer(chr) { + return accented[chr.toUpperCase()] || chr; + } + function getRegex(patterns, caseSensitive, wordsOnly, diacriticInsensitive) { + var escapedPatterns = [], regexStr; + for (var i = 0, len = patterns.length; i < len; i++) { + var escapedWord = _.escapeRegExChars(patterns[i]); + if (diacriticInsensitive) { + escapedWord = escapedWord.replace(/\S/g, accent_replacer); + } + escapedPatterns.push(escapedWord); + } + regexStr = wordsOnly ? "\\b(" + escapedPatterns.join("|") + ")\\b" : "(" + escapedPatterns.join("|") + ")"; + return caseSensitive ? new RegExp(regexStr) : new RegExp(regexStr, "i"); + } + }(window.document); + var Input = function() { + "use strict"; + var specialKeyCodeMap; + specialKeyCodeMap = { + 9: "tab", + 27: "esc", + 37: "left", + 39: "right", + 13: "enter", + 38: "up", + 40: "down" + }; + function Input(o, www) { + var id; + o = o || {}; + if (!o.input) { + $.error("input is missing"); + } + www.mixin(this); + this.$hint = $(o.hint); + this.$input = $(o.input); + this.$menu = $(o.menu); + id = this.$input.attr("id") || _.guid(); + this.$menu.attr("id", id + "_listbox"); + this.$hint.attr({ + "aria-hidden": true + }); + this.$input.attr({ + "aria-owns": id + "_listbox", + role: "combobox", + "aria-autocomplete": "list", + "aria-expanded": false + }); + this.query = this.$input.val(); + this.queryWhenFocused = this.hasFocus() ? this.query : null; + this.$overflowHelper = buildOverflowHelper(this.$input); + this._checkLanguageDirection(); + if (this.$hint.length === 0) { + this.setHint = this.getHint = this.clearHint = this.clearHintIfInvalid = _.noop; + } + this.onSync("cursorchange", this._updateDescendent); + } + Input.normalizeQuery = function(str) { + return _.toStr(str).replace(/^\s*/g, "").replace(/\s{2,}/g, " "); + }; + _.mixin(Input.prototype, EventEmitter, { + _onBlur: function onBlur() { + this.resetInputValue(); + this.trigger("blurred"); + }, + _onFocus: function onFocus() { + this.queryWhenFocused = this.query; + this.trigger("focused"); + }, + _onKeydown: function onKeydown($e) { + var keyName = specialKeyCodeMap[$e.which || $e.keyCode]; + this._managePreventDefault(keyName, $e); + if (keyName && this._shouldTrigger(keyName, $e)) { + this.trigger(keyName + "Keyed", $e); + } + }, + _onInput: function onInput() { + this._setQuery(this.getInputValue()); + this.clearHintIfInvalid(); + this._checkLanguageDirection(); + }, + _managePreventDefault: function managePreventDefault(keyName, $e) { + var preventDefault; + switch (keyName) { + case "up": + case "down": + preventDefault = !withModifier($e); + break; + + default: + preventDefault = false; + } + preventDefault && $e.preventDefault(); + }, + _shouldTrigger: function shouldTrigger(keyName, $e) { + var trigger; + switch (keyName) { + case "tab": + trigger = !withModifier($e); + break; + + default: + trigger = true; + } + return trigger; + }, + _checkLanguageDirection: function checkLanguageDirection() { + var dir = (this.$input.css("direction") || "ltr").toLowerCase(); + if (this.dir !== dir) { + this.dir = dir; + this.$hint.attr("dir", dir); + this.trigger("langDirChanged", dir); + } + }, + _setQuery: function setQuery(val, silent) { + var areEquivalent, hasDifferentWhitespace; + areEquivalent = areQueriesEquivalent(val, this.query); + hasDifferentWhitespace = areEquivalent ? this.query.length !== val.length : false; + this.query = val; + if (!silent && !areEquivalent) { + this.trigger("queryChanged", this.query); + } else if (!silent && hasDifferentWhitespace) { + this.trigger("whitespaceChanged", this.query); + } + }, + _updateDescendent: function updateDescendent(event, id) { + this.$input.attr("aria-activedescendant", id); + }, + bind: function() { + var that = this, onBlur, onFocus, onKeydown, onInput; + onBlur = _.bind(this._onBlur, this); + onFocus = _.bind(this._onFocus, this); + onKeydown = _.bind(this._onKeydown, this); + onInput = _.bind(this._onInput, this); + this.$input.on("blur.tt", onBlur).on("focus.tt", onFocus).on("keydown.tt", onKeydown); + if (!_.isMsie() || _.isMsie() > 9) { + this.$input.on("input.tt", onInput); + } else { + this.$input.on("keydown.tt keypress.tt cut.tt paste.tt", function($e) { + if (specialKeyCodeMap[$e.which || $e.keyCode]) { + return; + } + _.defer(_.bind(that._onInput, that, $e)); + }); + } + return this; + }, + focus: function focus() { + this.$input.focus(); + }, + blur: function blur() { + this.$input.blur(); + }, + getLangDir: function getLangDir() { + return this.dir; + }, + getQuery: function getQuery() { + return this.query || ""; + }, + setQuery: function setQuery(val, silent) { + this.setInputValue(val); + this._setQuery(val, silent); + }, + hasQueryChangedSinceLastFocus: function hasQueryChangedSinceLastFocus() { + return this.query !== this.queryWhenFocused; + }, + getInputValue: function getInputValue() { + return this.$input.val(); + }, + setInputValue: function setInputValue(value) { + this.$input.val(value); + this.clearHintIfInvalid(); + this._checkLanguageDirection(); + }, + resetInputValue: function resetInputValue() { + this.setInputValue(this.query); + }, + getHint: function getHint() { + return this.$hint.val(); + }, + setHint: function setHint(value) { + this.$hint.val(value); + }, + clearHint: function clearHint() { + this.setHint(""); + }, + clearHintIfInvalid: function clearHintIfInvalid() { + var val, hint, valIsPrefixOfHint, isValid; + val = this.getInputValue(); + hint = this.getHint(); + valIsPrefixOfHint = val !== hint && hint.indexOf(val) === 0; + isValid = val !== "" && valIsPrefixOfHint && !this.hasOverflow(); + !isValid && this.clearHint(); + }, + hasFocus: function hasFocus() { + return this.$input.is(":focus"); + }, + hasOverflow: function hasOverflow() { + var constraint = this.$input.width() - 2; + this.$overflowHelper.text(this.getInputValue()); + return this.$overflowHelper.width() >= constraint; + }, + isCursorAtEnd: function() { + var valueLength, selectionStart, range; + valueLength = this.$input.val().length; + selectionStart = this.$input[0].selectionStart; + if (_.isNumber(selectionStart)) { + return selectionStart === valueLength; + } else if (document.selection) { + range = document.selection.createRange(); + range.moveStart("character", -valueLength); + return valueLength === range.text.length; + } + return true; + }, + destroy: function destroy() { + this.$hint.off(".tt"); + this.$input.off(".tt"); + this.$overflowHelper.remove(); + this.$hint = this.$input = this.$overflowHelper = $("
"); + }, + setAriaExpanded: function setAriaExpanded(value) { + this.$input.attr("aria-expanded", value); + } + }); + return Input; + function buildOverflowHelper($input) { + return $('').css({ + position: "absolute", + visibility: "hidden", + whiteSpace: "pre", + fontFamily: $input.css("font-family"), + fontSize: $input.css("font-size"), + fontStyle: $input.css("font-style"), + fontVariant: $input.css("font-variant"), + fontWeight: $input.css("font-weight"), + wordSpacing: $input.css("word-spacing"), + letterSpacing: $input.css("letter-spacing"), + textIndent: $input.css("text-indent"), + textRendering: $input.css("text-rendering"), + textTransform: $input.css("text-transform") + }).insertAfter($input); + } + function areQueriesEquivalent(a, b) { + return Input.normalizeQuery(a) === Input.normalizeQuery(b); + } + function withModifier($e) { + return $e.altKey || $e.ctrlKey || $e.metaKey || $e.shiftKey; + } + }(); + var Dataset = function() { + "use strict"; + var keys, nameGenerator; + keys = { + dataset: "tt-selectable-dataset", + val: "tt-selectable-display", + obj: "tt-selectable-object" + }; + nameGenerator = _.getIdGenerator(); + function Dataset(o, www) { + o = o || {}; + o.templates = o.templates || {}; + o.templates.notFound = o.templates.notFound || o.templates.empty; + if (!o.source) { + $.error("missing source"); + } + if (!o.node) { + $.error("missing node"); + } + if (o.name && !isValidName(o.name)) { + $.error("invalid dataset name: " + o.name); + } + www.mixin(this); + this.highlight = !!o.highlight; + this.name = _.toStr(o.name || nameGenerator()); + this.limit = o.limit || 5; + this.displayFn = getDisplayFn(o.display || o.displayKey); + this.templates = getTemplates(o.templates, this.displayFn); + this.source = o.source.__ttAdapter ? o.source.__ttAdapter() : o.source; + this.async = _.isUndefined(o.async) ? this.source.length > 2 : !!o.async; + this._resetLastSuggestion(); + this.$el = $(o.node).attr("role", "presentation").addClass(this.classes.dataset).addClass(this.classes.dataset + "-" + this.name); + } + Dataset.extractData = function extractData(el) { + var $el = $(el); + if ($el.data(keys.obj)) { + return { + dataset: $el.data(keys.dataset) || "", + val: $el.data(keys.val) || "", + obj: $el.data(keys.obj) || null + }; + } + return null; + }; + _.mixin(Dataset.prototype, EventEmitter, { + _overwrite: function overwrite(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (this.async && this.templates.pending) { + this._renderPending(query); + } else if (!this.async && this.templates.notFound) { + this._renderNotFound(query); + } else { + this._empty(); + } + this.trigger("rendered", suggestions, false, this.name); + }, + _append: function append(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length && this.$lastSuggestion.length) { + this._appendSuggestions(query, suggestions); + } else if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (!this.$lastSuggestion.length && this.templates.notFound) { + this._renderNotFound(query); + } + this.trigger("rendered", suggestions, true, this.name); + }, + _renderSuggestions: function renderSuggestions(query, suggestions) { + var $fragment; + $fragment = this._getSuggestionsFragment(query, suggestions); + this.$lastSuggestion = $fragment.children().last(); + this.$el.html($fragment).prepend(this._getHeader(query, suggestions)).append(this._getFooter(query, suggestions)); + }, + _appendSuggestions: function appendSuggestions(query, suggestions) { + var $fragment, $lastSuggestion; + $fragment = this._getSuggestionsFragment(query, suggestions); + $lastSuggestion = $fragment.children().last(); + this.$lastSuggestion.after($fragment); + this.$lastSuggestion = $lastSuggestion; + }, + _renderPending: function renderPending(query) { + var template = this.templates.pending; + this._resetLastSuggestion(); + template && this.$el.html(template({ + query: query, + dataset: this.name + })); + }, + _renderNotFound: function renderNotFound(query) { + var template = this.templates.notFound; + this._resetLastSuggestion(); + template && this.$el.html(template({ + query: query, + dataset: this.name + })); + }, + _empty: function empty() { + this.$el.empty(); + this._resetLastSuggestion(); + }, + _getSuggestionsFragment: function getSuggestionsFragment(query, suggestions) { + var that = this, fragment; + fragment = document.createDocumentFragment(); + _.each(suggestions, function getSuggestionNode(suggestion) { + var $el, context; + context = that._injectQuery(query, suggestion); + $el = $(that.templates.suggestion(context)).data(keys.dataset, that.name).data(keys.obj, suggestion).data(keys.val, that.displayFn(suggestion)).addClass(that.classes.suggestion + " " + that.classes.selectable); + fragment.appendChild($el[0]); + }); + this.highlight && highlight({ + className: this.classes.highlight, + node: fragment, + pattern: query + }); + return $(fragment); + }, + _getFooter: function getFooter(query, suggestions) { + return this.templates.footer ? this.templates.footer({ + query: query, + suggestions: suggestions, + dataset: this.name + }) : null; + }, + _getHeader: function getHeader(query, suggestions) { + return this.templates.header ? this.templates.header({ + query: query, + suggestions: suggestions, + dataset: this.name + }) : null; + }, + _resetLastSuggestion: function resetLastSuggestion() { + this.$lastSuggestion = $(); + }, + _injectQuery: function injectQuery(query, obj) { + return _.isObject(obj) ? _.mixin({ + _query: query + }, obj) : obj; + }, + update: function update(query) { + var that = this, canceled = false, syncCalled = false, rendered = 0; + this.cancel(); + this.cancel = function cancel() { + canceled = true; + that.cancel = $.noop; + that.async && that.trigger("asyncCanceled", query, that.name); + }; + this.source(query, sync, async); + !syncCalled && sync([]); + function sync(suggestions) { + if (syncCalled) { + return; + } + syncCalled = true; + suggestions = (suggestions || []).slice(0, that.limit); + rendered = suggestions.length; + that._overwrite(query, suggestions); + if (rendered < that.limit && that.async) { + that.trigger("asyncRequested", query, that.name); + } + } + function async(suggestions) { + suggestions = suggestions || []; + if (!canceled && rendered < that.limit) { + that.cancel = $.noop; + var idx = Math.abs(rendered - that.limit); + rendered += idx; + that._append(query, suggestions.slice(0, idx)); + that.async && that.trigger("asyncReceived", query, that.name); + } + } + }, + cancel: $.noop, + clear: function clear() { + this._empty(); + this.cancel(); + this.trigger("cleared"); + }, + isEmpty: function isEmpty() { + return this.$el.is(":empty"); + }, + destroy: function destroy() { + this.$el = $("
"); + } + }); + return Dataset; + function getDisplayFn(display) { + display = display || _.stringify; + return _.isFunction(display) ? display : displayFn; + function displayFn(obj) { + return obj[display]; + } + } + function getTemplates(templates, displayFn) { + return { + notFound: templates.notFound && _.templatify(templates.notFound), + pending: templates.pending && _.templatify(templates.pending), + header: templates.header && _.templatify(templates.header), + footer: templates.footer && _.templatify(templates.footer), + suggestion: templates.suggestion ? userSuggestionTemplate : suggestionTemplate + }; + function userSuggestionTemplate(context) { + var template = templates.suggestion; + return $(template(context)).attr("id", _.guid()); + } + function suggestionTemplate(context) { + return $('
').attr("id", _.guid()).text(displayFn(context)); + } + } + function isValidName(str) { + return /^[_a-zA-Z0-9-]+$/.test(str); + } + }(); + var Menu = function() { + "use strict"; + function Menu(o, www) { + var that = this; + o = o || {}; + if (!o.node) { + $.error("node is required"); + } + www.mixin(this); + this.$node = $(o.node); + this.query = null; + this.datasets = _.map(o.datasets, initializeDataset); + function initializeDataset(oDataset) { + var node = that.$node.find(oDataset.node).first(); + oDataset.node = node.length ? node : $("
").appendTo(that.$node); + return new Dataset(oDataset, www); + } + } + _.mixin(Menu.prototype, EventEmitter, { + _onSelectableClick: function onSelectableClick($e) { + this.trigger("selectableClicked", $($e.currentTarget)); + }, + _onRendered: function onRendered(type, dataset, suggestions, async) { + this.$node.toggleClass(this.classes.empty, this._allDatasetsEmpty()); + this.trigger("datasetRendered", dataset, suggestions, async); + }, + _onCleared: function onCleared() { + this.$node.toggleClass(this.classes.empty, this._allDatasetsEmpty()); + this.trigger("datasetCleared"); + }, + _propagate: function propagate() { + this.trigger.apply(this, arguments); + }, + _allDatasetsEmpty: function allDatasetsEmpty() { + return _.every(this.datasets, _.bind(function isDatasetEmpty(dataset) { + var isEmpty = dataset.isEmpty(); + this.$node.attr("aria-expanded", !isEmpty); + return isEmpty; + }, this)); + }, + _getSelectables: function getSelectables() { + return this.$node.find(this.selectors.selectable); + }, + _removeCursor: function _removeCursor() { + var $selectable = this.getActiveSelectable(); + $selectable && $selectable.removeClass(this.classes.cursor); + }, + _ensureVisible: function ensureVisible($el) { + var elTop, elBottom, nodeScrollTop, nodeHeight; + elTop = $el.position().top; + elBottom = elTop + $el.outerHeight(true); + nodeScrollTop = this.$node.scrollTop(); + nodeHeight = this.$node.height() + parseInt(this.$node.css("paddingTop"), 10) + parseInt(this.$node.css("paddingBottom"), 10); + if (elTop < 0) { + this.$node.scrollTop(nodeScrollTop + elTop); + } else if (nodeHeight < elBottom) { + this.$node.scrollTop(nodeScrollTop + (elBottom - nodeHeight)); + } + }, + bind: function() { + var that = this, onSelectableClick; + onSelectableClick = _.bind(this._onSelectableClick, this); + this.$node.on("click.tt", this.selectors.selectable, onSelectableClick); + this.$node.on("mouseover", this.selectors.selectable, function() { + that.setCursor($(this)); + }); + this.$node.on("mouseleave", function() { + that._removeCursor(); + }); + _.each(this.datasets, function(dataset) { + dataset.onSync("asyncRequested", that._propagate, that).onSync("asyncCanceled", that._propagate, that).onSync("asyncReceived", that._propagate, that).onSync("rendered", that._onRendered, that).onSync("cleared", that._onCleared, that); + }); + return this; + }, + isOpen: function isOpen() { + return this.$node.hasClass(this.classes.open); + }, + open: function open() { + this.$node.scrollTop(0); + this.$node.addClass(this.classes.open); + }, + close: function close() { + this.$node.attr("aria-expanded", false); + this.$node.removeClass(this.classes.open); + this._removeCursor(); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$node.attr("dir", dir); + }, + selectableRelativeToCursor: function selectableRelativeToCursor(delta) { + var $selectables, $oldCursor, oldIndex, newIndex; + $oldCursor = this.getActiveSelectable(); + $selectables = this._getSelectables(); + oldIndex = $oldCursor ? $selectables.index($oldCursor) : -1; + newIndex = oldIndex + delta; + newIndex = (newIndex + 1) % ($selectables.length + 1) - 1; + newIndex = newIndex < -1 ? $selectables.length - 1 : newIndex; + return newIndex === -1 ? null : $selectables.eq(newIndex); + }, + setCursor: function setCursor($selectable) { + this._removeCursor(); + if ($selectable = $selectable && $selectable.first()) { + $selectable.addClass(this.classes.cursor); + this._ensureVisible($selectable); + } + }, + getSelectableData: function getSelectableData($el) { + return $el && $el.length ? Dataset.extractData($el) : null; + }, + getActiveSelectable: function getActiveSelectable() { + var $selectable = this._getSelectables().filter(this.selectors.cursor).first(); + return $selectable.length ? $selectable : null; + }, + getTopSelectable: function getTopSelectable() { + var $selectable = this._getSelectables().first(); + return $selectable.length ? $selectable : null; + }, + update: function update(query) { + var isValidUpdate = query !== this.query; + if (isValidUpdate) { + this.query = query; + _.each(this.datasets, updateDataset); + } + return isValidUpdate; + function updateDataset(dataset) { + dataset.update(query); + } + }, + empty: function empty() { + _.each(this.datasets, clearDataset); + this.query = null; + this.$node.addClass(this.classes.empty); + function clearDataset(dataset) { + dataset.clear(); + } + }, + destroy: function destroy() { + this.$node.off(".tt"); + this.$node = $("
"); + _.each(this.datasets, destroyDataset); + function destroyDataset(dataset) { + dataset.destroy(); + } + } + }); + return Menu; + }(); + var Status = function() { + "use strict"; + function Status(options) { + this.$el = $("", { + role: "status", + "aria-live": "polite" + }).css({ + position: "absolute", + padding: "0", + border: "0", + height: "1px", + width: "1px", + "margin-bottom": "-1px", + "margin-right": "-1px", + overflow: "hidden", + clip: "rect(0 0 0 0)", + "white-space": "nowrap" + }); + options.$input.after(this.$el); + _.each(options.menu.datasets, _.bind(function(dataset) { + if (dataset.onSync) { + dataset.onSync("rendered", _.bind(this.update, this)); + dataset.onSync("cleared", _.bind(this.cleared, this)); + } + }, this)); + } + _.mixin(Status.prototype, { + update: function update(event, suggestions) { + var length = suggestions.length; + var words; + if (length === 1) { + words = { + result: "result", + is: "is" + }; + } else { + words = { + result: "results", + is: "are" + }; + } + this.$el.text(length + " " + words.result + " " + words.is + " available, use up and down arrow keys to navigate."); + }, + cleared: function() { + this.$el.text(""); + } + }); + return Status; + }(); + var DefaultMenu = function() { + "use strict"; + var s = Menu.prototype; + function DefaultMenu() { + Menu.apply(this, [].slice.call(arguments, 0)); + } + _.mixin(DefaultMenu.prototype, Menu.prototype, { + open: function open() { + !this._allDatasetsEmpty() && this._show(); + return s.open.apply(this, [].slice.call(arguments, 0)); + }, + close: function close() { + this._hide(); + return s.close.apply(this, [].slice.call(arguments, 0)); + }, + _onRendered: function onRendered() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onRendered.apply(this, [].slice.call(arguments, 0)); + }, + _onCleared: function onCleared() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onCleared.apply(this, [].slice.call(arguments, 0)); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$node.css(dir === "ltr" ? this.css.ltr : this.css.rtl); + return s.setLanguageDirection.apply(this, [].slice.call(arguments, 0)); + }, + _hide: function hide() { + this.$node.hide(); + }, + _show: function show() { + this.$node.css("display", "block"); + } + }); + return DefaultMenu; + }(); + var Typeahead = function() { + "use strict"; + function Typeahead(o, www) { + var onFocused, onBlurred, onEnterKeyed, onTabKeyed, onEscKeyed, onUpKeyed, onDownKeyed, onLeftKeyed, onRightKeyed, onQueryChanged, onWhitespaceChanged; + o = o || {}; + if (!o.input) { + $.error("missing input"); + } + if (!o.menu) { + $.error("missing menu"); + } + if (!o.eventBus) { + $.error("missing event bus"); + } + www.mixin(this); + this.eventBus = o.eventBus; + this.minLength = _.isNumber(o.minLength) ? o.minLength : 1; + this.input = o.input; + this.menu = o.menu; + this.enabled = true; + this.autoselect = !!o.autoselect; + this.active = false; + this.input.hasFocus() && this.activate(); + this.dir = this.input.getLangDir(); + this._hacks(); + this.menu.bind().onSync("selectableClicked", this._onSelectableClicked, this).onSync("asyncRequested", this._onAsyncRequested, this).onSync("asyncCanceled", this._onAsyncCanceled, this).onSync("asyncReceived", this._onAsyncReceived, this).onSync("datasetRendered", this._onDatasetRendered, this).onSync("datasetCleared", this._onDatasetCleared, this); + onFocused = c(this, "activate", "open", "_onFocused"); + onBlurred = c(this, "deactivate", "_onBlurred"); + onEnterKeyed = c(this, "isActive", "isOpen", "_onEnterKeyed"); + onTabKeyed = c(this, "isActive", "isOpen", "_onTabKeyed"); + onEscKeyed = c(this, "isActive", "_onEscKeyed"); + onUpKeyed = c(this, "isActive", "open", "_onUpKeyed"); + onDownKeyed = c(this, "isActive", "open", "_onDownKeyed"); + onLeftKeyed = c(this, "isActive", "isOpen", "_onLeftKeyed"); + onRightKeyed = c(this, "isActive", "isOpen", "_onRightKeyed"); + onQueryChanged = c(this, "_openIfActive", "_onQueryChanged"); + onWhitespaceChanged = c(this, "_openIfActive", "_onWhitespaceChanged"); + this.input.bind().onSync("focused", onFocused, this).onSync("blurred", onBlurred, this).onSync("enterKeyed", onEnterKeyed, this).onSync("tabKeyed", onTabKeyed, this).onSync("escKeyed", onEscKeyed, this).onSync("upKeyed", onUpKeyed, this).onSync("downKeyed", onDownKeyed, this).onSync("leftKeyed", onLeftKeyed, this).onSync("rightKeyed", onRightKeyed, this).onSync("queryChanged", onQueryChanged, this).onSync("whitespaceChanged", onWhitespaceChanged, this).onSync("langDirChanged", this._onLangDirChanged, this); + } + _.mixin(Typeahead.prototype, { + _hacks: function hacks() { + var $input, $menu; + $input = this.input.$input || $("
"); + $menu = this.menu.$node || $("
"); + $input.on("blur.tt", function($e) { + var active, isActive, hasActive; + active = document.activeElement; + isActive = $menu.is(active); + hasActive = $menu.has(active).length > 0; + if (_.isMsie() && (isActive || hasActive)) { + $e.preventDefault(); + $e.stopImmediatePropagation(); + _.defer(function() { + $input.focus(); + }); + } + }); + $menu.on("mousedown.tt", function($e) { + $e.preventDefault(); + }); + }, + _onSelectableClicked: function onSelectableClicked(type, $el) { + this.select($el); + }, + _onDatasetCleared: function onDatasetCleared() { + this._updateHint(); + }, + _onDatasetRendered: function onDatasetRendered(type, suggestions, async, dataset) { + this._updateHint(); + if (this.autoselect) { + var cursorClass = this.selectors.cursor.substr(1); + this.menu.$node.find(this.selectors.suggestion).first().addClass(cursorClass); + } + this.eventBus.trigger("render", suggestions, async, dataset); + }, + _onAsyncRequested: function onAsyncRequested(type, dataset, query) { + this.eventBus.trigger("asyncrequest", query, dataset); + }, + _onAsyncCanceled: function onAsyncCanceled(type, dataset, query) { + this.eventBus.trigger("asynccancel", query, dataset); + }, + _onAsyncReceived: function onAsyncReceived(type, dataset, query) { + this.eventBus.trigger("asyncreceive", query, dataset); + }, + _onFocused: function onFocused() { + this._minLengthMet() && this.menu.update(this.input.getQuery()); + }, + _onBlurred: function onBlurred() { + if (this.input.hasQueryChangedSinceLastFocus()) { + this.eventBus.trigger("change", this.input.getQuery()); + } + }, + _onEnterKeyed: function onEnterKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + if (this.select($selectable)) { + $e.preventDefault(); + $e.stopPropagation(); + } + } else if (this.autoselect) { + if (this.select(this.menu.getTopSelectable())) { + $e.preventDefault(); + $e.stopPropagation(); + } + } + }, + _onTabKeyed: function onTabKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + this.select($selectable) && $e.preventDefault(); + } else if (this.autoselect) { + if ($selectable = this.menu.getTopSelectable()) { + this.autocomplete($selectable) && $e.preventDefault(); + } + } + }, + _onEscKeyed: function onEscKeyed() { + this.close(); + }, + _onUpKeyed: function onUpKeyed() { + this.moveCursor(-1); + }, + _onDownKeyed: function onDownKeyed() { + this.moveCursor(+1); + }, + _onLeftKeyed: function onLeftKeyed() { + if (this.dir === "rtl" && this.input.isCursorAtEnd()) { + this.autocomplete(this.menu.getActiveSelectable() || this.menu.getTopSelectable()); + } + }, + _onRightKeyed: function onRightKeyed() { + if (this.dir === "ltr" && this.input.isCursorAtEnd()) { + this.autocomplete(this.menu.getActiveSelectable() || this.menu.getTopSelectable()); + } + }, + _onQueryChanged: function onQueryChanged(e, query) { + this._minLengthMet(query) ? this.menu.update(query) : this.menu.empty(); + }, + _onWhitespaceChanged: function onWhitespaceChanged() { + this._updateHint(); + }, + _onLangDirChanged: function onLangDirChanged(e, dir) { + if (this.dir !== dir) { + this.dir = dir; + this.menu.setLanguageDirection(dir); + } + }, + _openIfActive: function openIfActive() { + this.isActive() && this.open(); + }, + _minLengthMet: function minLengthMet(query) { + query = _.isString(query) ? query : this.input.getQuery() || ""; + return query.length >= this.minLength; + }, + _updateHint: function updateHint() { + var $selectable, data, val, query, escapedQuery, frontMatchRegEx, match; + $selectable = this.menu.getTopSelectable(); + data = this.menu.getSelectableData($selectable); + val = this.input.getInputValue(); + if (data && !_.isBlankString(val) && !this.input.hasOverflow()) { + query = Input.normalizeQuery(val); + escapedQuery = _.escapeRegExChars(query); + frontMatchRegEx = new RegExp("^(?:" + escapedQuery + ")(.+$)", "i"); + match = frontMatchRegEx.exec(data.val); + match && this.input.setHint(val + match[1]); + } else { + this.input.clearHint(); + } + }, + isEnabled: function isEnabled() { + return this.enabled; + }, + enable: function enable() { + this.enabled = true; + }, + disable: function disable() { + this.enabled = false; + }, + isActive: function isActive() { + return this.active; + }, + activate: function activate() { + if (this.isActive()) { + return true; + } else if (!this.isEnabled() || this.eventBus.before("active")) { + return false; + } else { + this.active = true; + this.eventBus.trigger("active"); + return true; + } + }, + deactivate: function deactivate() { + if (!this.isActive()) { + return true; + } else if (this.eventBus.before("idle")) { + return false; + } else { + this.active = false; + this.close(); + this.eventBus.trigger("idle"); + return true; + } + }, + isOpen: function isOpen() { + return this.menu.isOpen(); + }, + open: function open() { + if (!this.isOpen() && !this.eventBus.before("open")) { + this.input.setAriaExpanded(true); + this.menu.open(); + this._updateHint(); + this.eventBus.trigger("open"); + } + return this.isOpen(); + }, + close: function close() { + if (this.isOpen() && !this.eventBus.before("close")) { + this.input.setAriaExpanded(false); + this.menu.close(); + this.input.clearHint(); + this.input.resetInputValue(); + this.eventBus.trigger("close"); + } + return !this.isOpen(); + }, + setVal: function setVal(val) { + this.input.setQuery(_.toStr(val)); + }, + getVal: function getVal() { + return this.input.getQuery(); + }, + select: function select($selectable) { + var data = this.menu.getSelectableData($selectable); + if (data && !this.eventBus.before("select", data.obj, data.dataset)) { + this.input.setQuery(data.val, true); + this.eventBus.trigger("select", data.obj, data.dataset); + this.close(); + return true; + } + return false; + }, + autocomplete: function autocomplete($selectable) { + var query, data, isValid; + query = this.input.getQuery(); + data = this.menu.getSelectableData($selectable); + isValid = data && query !== data.val; + if (isValid && !this.eventBus.before("autocomplete", data.obj, data.dataset)) { + this.input.setQuery(data.val); + this.eventBus.trigger("autocomplete", data.obj, data.dataset); + return true; + } + return false; + }, + moveCursor: function moveCursor(delta) { + var query, $candidate, data, suggestion, datasetName, cancelMove, id; + query = this.input.getQuery(); + $candidate = this.menu.selectableRelativeToCursor(delta); + data = this.menu.getSelectableData($candidate); + suggestion = data ? data.obj : null; + datasetName = data ? data.dataset : null; + id = $candidate ? $candidate.attr("id") : null; + this.input.trigger("cursorchange", id); + cancelMove = this._minLengthMet() && this.menu.update(query); + if (!cancelMove && !this.eventBus.before("cursorchange", suggestion, datasetName)) { + this.menu.setCursor($candidate); + if (data) { + if (typeof data.val === "string") { + this.input.setInputValue(data.val); + } + } else { + this.input.resetInputValue(); + this._updateHint(); + } + this.eventBus.trigger("cursorchange", suggestion, datasetName); + return true; + } + return false; + }, + destroy: function destroy() { + this.input.destroy(); + this.menu.destroy(); + } + }); + return Typeahead; + function c(ctx) { + var methods = [].slice.call(arguments, 1); + return function() { + var args = [].slice.call(arguments); + _.each(methods, function(method) { + return ctx[method].apply(ctx, args); + }); + }; + } + }(); + (function() { + "use strict"; + var old, keys, methods; + old = $.fn.typeahead; + keys = { + www: "tt-www", + attrs: "tt-attrs", + typeahead: "tt-typeahead" + }; + methods = { + initialize: function initialize(o, datasets) { + var www; + datasets = _.isArray(datasets) ? datasets : [].slice.call(arguments, 1); + o = o || {}; + www = WWW(o.classNames); + return this.each(attach); + function attach() { + var $input, $wrapper, $hint, $menu, defaultHint, defaultMenu, eventBus, input, menu, status, typeahead, MenuConstructor; + _.each(datasets, function(d) { + d.highlight = !!o.highlight; + }); + $input = $(this); + $wrapper = $(www.html.wrapper); + $hint = $elOrNull(o.hint); + $menu = $elOrNull(o.menu); + defaultHint = o.hint !== false && !$hint; + defaultMenu = o.menu !== false && !$menu; + defaultHint && ($hint = buildHintFromInput($input, www)); + defaultMenu && ($menu = $(www.html.menu).css(www.css.menu)); + $hint && $hint.val(""); + $input = prepInput($input, www); + if (defaultHint || defaultMenu) { + $wrapper.css(www.css.wrapper); + $input.css(defaultHint ? www.css.input : www.css.inputWithNoHint); + $input.wrap($wrapper).parent().prepend(defaultHint ? $hint : null).append(defaultMenu ? $menu : null); + } + MenuConstructor = defaultMenu ? DefaultMenu : Menu; + eventBus = new EventBus({ + el: $input + }); + input = new Input({ + hint: $hint, + input: $input, + menu: $menu + }, www); + menu = new MenuConstructor({ + node: $menu, + datasets: datasets + }, www); + status = new Status({ + $input: $input, + menu: menu + }); + typeahead = new Typeahead({ + input: input, + menu: menu, + eventBus: eventBus, + minLength: o.minLength, + autoselect: o.autoselect + }, www); + $input.data(keys.www, www); + $input.data(keys.typeahead, typeahead); + } + }, + isEnabled: function isEnabled() { + var enabled; + ttEach(this.first(), function(t) { + enabled = t.isEnabled(); + }); + return enabled; + }, + enable: function enable() { + ttEach(this, function(t) { + t.enable(); + }); + return this; + }, + disable: function disable() { + ttEach(this, function(t) { + t.disable(); + }); + return this; + }, + isActive: function isActive() { + var active; + ttEach(this.first(), function(t) { + active = t.isActive(); + }); + return active; + }, + activate: function activate() { + ttEach(this, function(t) { + t.activate(); + }); + return this; + }, + deactivate: function deactivate() { + ttEach(this, function(t) { + t.deactivate(); + }); + return this; + }, + isOpen: function isOpen() { + var open; + ttEach(this.first(), function(t) { + open = t.isOpen(); + }); + return open; + }, + open: function open() { + ttEach(this, function(t) { + t.open(); + }); + return this; + }, + close: function close() { + ttEach(this, function(t) { + t.close(); + }); + return this; + }, + select: function select(el) { + var success = false, $el = $(el); + ttEach(this.first(), function(t) { + success = t.select($el); + }); + return success; + }, + autocomplete: function autocomplete(el) { + var success = false, $el = $(el); + ttEach(this.first(), function(t) { + success = t.autocomplete($el); + }); + return success; + }, + moveCursor: function moveCursoe(delta) { + var success = false; + ttEach(this.first(), function(t) { + success = t.moveCursor(delta); + }); + return success; + }, + val: function val(newVal) { + var query; + if (!arguments.length) { + ttEach(this.first(), function(t) { + query = t.getVal(); + }); + return query; + } else { + ttEach(this, function(t) { + t.setVal(_.toStr(newVal)); + }); + return this; + } + }, + destroy: function destroy() { + ttEach(this, function(typeahead, $input) { + revert($input); + typeahead.destroy(); + }); + return this; + } + }; + $.fn.typeahead = function(method) { + if (methods[method]) { + return methods[method].apply(this, [].slice.call(arguments, 1)); + } else { + return methods.initialize.apply(this, arguments); + } + }; + $.fn.typeahead.noConflict = function noConflict() { + $.fn.typeahead = old; + return this; + }; + function ttEach($els, fn) { + $els.each(function() { + var $input = $(this), typeahead; + (typeahead = $input.data(keys.typeahead)) && fn(typeahead, $input); + }); + } + function buildHintFromInput($input, www) { + return $input.clone().addClass(www.classes.hint).removeData().css(www.css.hint).css(getBackgroundStyles($input)).prop({ + readonly: true, + required: false + }).removeAttr("id name placeholder").removeClass("required").attr({ + spellcheck: "false", + tabindex: -1 + }); + } + function prepInput($input, www) { + $input.data(keys.attrs, { + dir: $input.attr("dir"), + autocomplete: $input.attr("autocomplete"), + spellcheck: $input.attr("spellcheck"), + style: $input.attr("style") + }); + $input.addClass(www.classes.input).attr({ + spellcheck: false + }); + try { + !$input.attr("dir") && $input.attr("dir", "auto"); + } catch (e) {} + return $input; + } + function getBackgroundStyles($el) { + return { + backgroundAttachment: $el.css("background-attachment"), + backgroundClip: $el.css("background-clip"), + backgroundColor: $el.css("background-color"), + backgroundImage: $el.css("background-image"), + backgroundOrigin: $el.css("background-origin"), + backgroundPosition: $el.css("background-position"), + backgroundRepeat: $el.css("background-repeat"), + backgroundSize: $el.css("background-size") + }; + } + function revert($input) { + var www, $wrapper; + www = $input.data(keys.www); + $wrapper = $input.parent().filter(www.selectors.wrapper); + _.each($input.data(keys.attrs), function(val, key) { + _.isUndefined(val) ? $input.removeAttr(key) : $input.attr(key, val); + }); + $input.removeData(keys.typeahead).removeData(keys.www).removeData(keys.attr).removeClass(www.classes.input); + if ($wrapper.length) { + $input.detach().insertAfter($wrapper); + $wrapper.remove(); + } + } + function $elOrNull(obj) { + var isValid, $el; + isValid = _.isJQuery(obj) || _.isElement(obj); + $el = isValid ? $(obj).first() : []; + return $el.length ? $el : null; + } + })(); +}); \ No newline at end of file diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/search.json b/docs/docsets/BigInt.docset/Contents/Resources/Documents/search.json new file mode 100644 index 0000000..1e2c17f --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/search.json @@ -0,0 +1 @@ +{"Structs/BigInt/Words.html#/s:Sl7IndicesQa":{"name":"Indices","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl5countSivp":{"name":"count","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sk7indices7IndicesQzvp":{"name":"indices","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl10startIndex0B0Qzvp":{"name":"startIndex","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl8endIndex0B0Qzvp":{"name":"endIndex","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sly7ElementQz5IndexQzcip":{"name":"subscript(_:)","parent_name":"Words"},"Structs/BigInt/Sign.html#/s:6BigIntAAV4SignO4plusyA2DmF":{"name":"plus","abstract":"

Undocumented

","parent_name":"Sign"},"Structs/BigInt/Sign.html#/s:6BigIntAAV4SignO5minusyA2DmF":{"name":"minus","abstract":"

Undocumented

","parent_name":"Sign"},"Structs/BigInt/Sign.html":{"name":"Sign","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:Sj9MagnitudeQa":{"name":"Magnitude","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV4Worda":{"name":"Word","abstract":"

The type representing a digit in BigInt‘s underlying number system.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:Sz8isSignedSbvpZ":{"name":"isSigned","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV9magnitudeAA0A4UIntVvp":{"name":"magnitude","abstract":"

The absolute value of this integer.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV4signAB4SignOvp":{"name":"sign","abstract":"

True iff the value of this integer is negative.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV4sign9magnitudeA2B4SignO_AA0A4UIntVtcfc":{"name":"init(sign:magnitude:)","abstract":"

Initializes a new big integer with the provided absolute number and sign flag.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV6isZeroSbvp":{"name":"isZero","abstract":"

Return true iff this integer is zero.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV6signumAByF":{"name":"signum()","abstract":"

Returns -1 if this value is negative and 1 if it’s positive; otherwise, 0.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1poiyA2B_ABtFZ":{"name":"+(_:_:)","abstract":"

Add a to b and return the result.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2peoiyyABz_ABtFZ":{"name":"+=(_:_:)","abstract":"

Add b to a in place.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1topyA2BFZ":{"name":"~(_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1aoiyA2Bz_ABtFZ":{"name":"&(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1ooiyA2Bz_ABtFZ":{"name":"|(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1xoiyA2Bz_ABtFZ":{"name":"^(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2aeoiyyABz_ABtFZ":{"name":"&=(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2oeoiyyABz_ABtFZ":{"name":"|=(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2xeoiyyABz_ABtFZ":{"name":"^=(_:_:)","abstract":"

Undocumented

","parent_name":"BigInt"},"Structs/BigInt.html#/s:Se4fromxs7Decoder_p_tKcfc":{"name":"init(from:)","parent_name":"BigInt"},"Structs/BigInt.html#/s:SE6encode2toys7Encoder_p_tKF":{"name":"encode(to:)","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2eeoiySbAB_ABtFZ":{"name":"==(_:_:)","abstract":"

Return true iff a is equal to b.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1loiySbAB_ABtFZ":{"name":"<(_:_:)","abstract":"

Return true iff a is less than b.

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Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer,","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAVyAB10Foundation4DataVcfc":{"name":"init(_:)","abstract":"

Initializes an integer from the bits stored inside a piece of Data.","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV9serialize10Foundation4DataVyF":{"name":"serialize()","abstract":"

Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order and a prepended byte to indicate the sign (0 for positive, 1 for negative)

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV20quotientAndRemainder10dividingByAB0C0_AB9remaindertAB_tF":{"name":"quotientAndRemainder(dividingBy:)","abstract":"

Divide this integer by y and return the resulting quotient and remainder.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1doiyA2B_ABtFZ":{"name":"/(_:_:)","abstract":"

Divide a by b and return the quotient. Traps if b is zero.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV1roiyA2B_ABtFZ":{"name":"%(_:_:)","abstract":"

Divide a by b and return the remainder. The result has the same sign as a.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV7modulusyA2BF":{"name":"modulus(_:)","abstract":"

Return the result of a mod b. The result is always a nonnegative integer that is less than the absolute value of b.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2deoiyyABz_ABtFZ":{"name":"/=(_:_:)","abstract":"

Divide a by b storing the quotient in a.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV2reoiyyABz_ABtFZ":{"name":"%=(_:_:)","abstract":"

Divide a by b storing the remainder in a.

","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV5poweryABSiF":{"name":"power(_:)","abstract":"

Returns this integer raised to the power exponent.

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Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

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Multiply a with b in place.

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Returns true iff this integer passes the strong probable prime test for the specified base.

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Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

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Initialize a new big integer from a decimal number represented by a string literal of arbitrary length.","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV11descriptionSSvp":{"name":"description","abstract":"

Return the decimal representation of this integer.

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Return the playground quick look representation of this integer.

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Subtract b from a and return the result.

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Subtract b from a in place.

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The type representing a digit in BigUInt‘s underlying number system.

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Initializes a new BigUInt with value 0.

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Initializes a new BigUInt with the specified digits. The digits are ordered from least to most significant.

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Add a and b together and return the result.

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Add a and b together, and store the sum in a.

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Return true iff this integer is zero.

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Returns 1 if this value is, positive; otherwise, 0.

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Return the ones’ complement of a.

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Calculate the bitwise OR of a and b, and store the result in a.

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Calculate the bitwise AND of a and b and return the result.

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Calculate the bitwise XOR of a and b and return the result.

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Compare a to b and return an NSComparisonResult indicating their order.

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Return true iff a is equal to b.

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Return true iff a is less than b.

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Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer

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Initializes an integer from the bits stored inside a piece of Data.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV9serialize10Foundation4DataVyF":{"name":"serialize()","abstract":"

Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order.

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Divide this integer by y and return the resulting quotient and remainder.

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Divide x by y and return the quotient.

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Divide x by y and return the remainder.

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Divide x by y and store the quotient in x.

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Divide x by y and store the remainder in x.

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Returns this integer raised to the power exponent.

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Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

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Returns the greatest common divisor of self and b.

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Returns the multiplicative inverse of this integer in modulo modulus arithmetic,","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV4hash4intoys6HasherVz_tF":{"name":"hash(into:)","abstract":"

Append this BigUInt to the specified hasher.

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Initialize a new big integer from an integer literal.

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Multiply this big integer by a single word, and store the result in place of the original big integer.

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Multiply this big integer by a single Word, and return the result.

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Multiply x by y, and add the result to this integer, optionally shifted shift words to the left.

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Multiply this integer by y and return the result.

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Multiplication switches to an asymptotically better recursive algorithm when arguments have more words than this limit.

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Multiply a by b and return the result.

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Multiply a by b and store the result in a.

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Returns true iff this integer passes the strong probable prime test for the specified base.

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Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

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Create a big unsigned integer consisting of width uniformly distributed random bits.

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Create a big unsigned integer consisting of width uniformly distributed random bits.

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Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

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Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

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Create a uniformly distributed random unsigned integer that’s less than the specified limit.

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Create a uniformly distributed random unsigned integer that’s less than the specified limit.

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Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

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A type that can represent the distance between two values ofa BigUInt.

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Adds n to self and returns the result. Traps if the result would be less than zero.

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Returns the (potentially negative) difference between self and other as a BigInt. Never traps.

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Initialize a new big integer from a Unicode scalar.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV30extendedGraphemeClusterLiteralACSS_tcfc":{"name":"init(extendedGraphemeClusterLiteral:)","abstract":"

Initialize a new big integer from an extended grapheme cluster.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV13stringLiteralACSS_tcfc":{"name":"init(stringLiteral:)","abstract":"

Initialize a new big integer from a decimal number represented by a string literal of arbitrary length.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV11descriptionSSvp":{"name":"description","abstract":"

Return the decimal representation of this integer.

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Return the playground quick look representation of this integer.

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Subtract other from this integer in place, and return a flag indicating if the operation caused an","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV28subtractingReportingOverflow_9shiftedByAC12partialValue_Sb8overflowtAC_SitF":{"name":"subtractingReportingOverflow(_:shiftedBy:)","abstract":"

Subtract other from this integer, returning the difference and a flag indicating arithmetic overflow.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV28subtractingReportingOverflowyAC12partialValue_Sb8overflowtACF":{"name":"subtractingReportingOverflow(_:)","abstract":"

Subtracts other from self, returning the result and a flag indicating arithmetic overflow.

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Subtract other from this integer in place.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV11subtracting_9shiftedByA2C_SitF":{"name":"subtracting(_:shiftedBy:)","abstract":"

Subtract b from this integer, and return the difference.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV9decrement9shiftedByySi_tF":{"name":"decrement(shiftedBy:)","abstract":"

Decrement this integer by one.

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Subtract b from a and return the result.

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Subtract b from a and store the result in a.

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Undocumented

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The minimum number of bits required to represent this integer in binary.

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The number of leading zero bits in the binary representation of this integer in base 2^(Word.bitWidth).","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV20trailingZeroBitCountSivp":{"name":"trailingZeroBitCount","abstract":"

The number of trailing zero bits in the binary representation of this integer.

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Undocumented

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An arbitary precision unsigned integer type, also known as a “big integer”.

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An arbitary precision signed integer type, also known as a “big integer”.

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Initialize a new string with the base-10 representation of an unsigned big integer.

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Initialize a new string representing an unsigned big integer in the given radix (base).

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Initialize a new string representing a signed big integer in the given radix (base).

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Undocumented

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The following extensions are available globally.

"},"Structs.html":{"name":"Structures","abstract":"

The following structures are available globally.

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\ No newline at end of file + + + + BigInt Reference + + + + + + + + + + + + + + + +
+

+ + BigInt Docs + + (85% documented) +

+ +

+

+ +
+

+ +

+ + + View on GitHub + +

+ +

+ + + Install in Dash + +

+
+ +

+ BigInt Reference + + BigInt Reference +

+ +
+ +
+ +
+
+ +

BigInt

+ + + +

Swift 5 +License +Platform

+ +

Build Status +Code Coverage +jazzy +Carthage compatible +Version

+

Overview

+ +

This repository provides integer types of arbitrary width implemented +in 100% pure Swift. The underlying representation is in base 2^64, using Array<UInt64>.

+ +

This module is handy when you need an integer type that’s wider than UIntMax, but +you don’t want to add The GNU Multiple Precision Arithmetic Library +as a dependency.

+ +

Two big integer types are included: BigUInt and BigInt, +the latter being the signed variant. +Both of these are Swift structs with copy-on-write value semantics, and they can be used much +like any other integer type.

+ +

The library provides implementations for some of the most frequently useful functions on +big integers, including

+ + + +

The implementations are intended to be reasonably efficient, but they are unlikely to be +competitive with GMP at all, even when I happened to implement an algorithm with same asymptotic +behavior as GMP. (I haven’t performed a comparison benchmark, though.)

+ +

The library has 100% unit test coverage. Sadly this does not imply that there are no bugs +in it.

+

API Documentation

+ +

Generated API docs are available at https://attaswift.github.io/BigInt/.

+

License

+ +

BigInt can be used, distributed and modified under the MIT license.

+

Requirements and Integration

+ +

BigInt 4.0.0 requires Swift 4.2 (The last version with support for Swift 3.x was BigInt 2.1.0. +The last version with support for Swift 2 was BigInt 1.3.0.)

+ + + + + + + + + + + + + + + + + + + + + + + +
Swift Versionlast BigInt Version
3.x2.1.0
4.03.1.0
4.24.0.0
5.x5.3.0
+ +

BigInt deploys to macOS 10.10, iOS 9, watchOS 2 and tvOS 9. +It has been tested on the latest OS releases only—however, as the module uses very few platform-provided APIs, +there should be very few issues with earlier versions.

+ +

BigInt uses no APIs specific to Apple platforms, so +it should be easy to port it to other operating systems.

+ +

Setup instructions:

+ +
    +

  • Swift Package Manager: +Although the Package Manager is still in its infancy, BigInt provides experimental support for it. +Add this to the dependency section of your Package.swift manifest:

    +
    .package(url: "https://github.com/attaswift/BigInt.git", from: "5.3.0")
+
    • +

  • CocoaPods: Put this in your Podfile:

    +
    pod 'BigInt', '~> 5.3'
+
    • +

  • Carthage: Put this in your Cartfile:

    +
    github "attaswift/BigInt" ~> 5.3
+
    • +
+

Implementation notes

+ +

BigUInt is a MutableCollectionType of its 64-bit digits, with the least significant +digit at index 0. As a convenience, BigUInt allows you to subscript it with indexes at +or above its count. The subscript operator returns 0 for out-of-bound gets and +automatically extends the array on out-of-bound sets. This makes memory management simpler.

+ +

BigInt is just a tiny wrapper around a BigUInt [absolute value][magnitude] and a +sign bit, both of which are accessible as public read-write properties.

+

Why is there no generic BigInt<Digit> type?

+ +

The types provided by BigInt are not parametric—this is very much intentional, as +Swift generics cost us dearly at runtime in this use case. In every approach I tried, +making arbitrary-precision arithmetic operations work with a generic Digit type parameter +resulted in code that was literally ten times slower. If you can make the algorithms generic +without such a huge performance hit, please enlighten me!

+ +

This is an area that I plan to investigate more, as it would be useful to have generic +implementations for arbitrary-width arithmetic operations. (Polynomial division and decimal bases +are two examples.) The library already implements double-digit multiplication and division as +extension methods on a protocol with an associated type requirement; this has not measurably affected +performance. Unfortunately, the same is not true for BigUInt‘s methods.

+ +

Of course, as a last resort, we could just duplicate the code to create a separate +generic variant that was slower but more flexible.

+

Calculation Samples

+

Obligatory Factorial Demo

+ +

It is easy to use BigInt to calculate the factorial function for any integer:

+
import BigInt
+
+func factorial(_ n: Int) -> BigInt {
+    return (1 ... n).map { BigInt($0) }.reduce(BigInt(1), *)
+}
+
+print(factorial(10))
+==> 362880
+
+print(factorial(100))
+==> 93326215443944152681699238856266700490715968264381621468592963895217599993229915
+    6089414639761565182862536979208272237582511852109168640000000000000000000000
+
+print(factorial(1000))
+==> 40238726007709377354370243392300398571937486421071463254379991042993851239862902
+    05920442084869694048004799886101971960586316668729948085589013238296699445909974
+    24504087073759918823627727188732519779505950995276120874975462497043601418278094
+    64649629105639388743788648733711918104582578364784997701247663288983595573543251
+    31853239584630755574091142624174743493475534286465766116677973966688202912073791
+    43853719588249808126867838374559731746136085379534524221586593201928090878297308
+    43139284440328123155861103697680135730421616874760967587134831202547858932076716
+    91324484262361314125087802080002616831510273418279777047846358681701643650241536
+    91398281264810213092761244896359928705114964975419909342221566832572080821333186
+    11681155361583654698404670897560290095053761647584772842188967964624494516076535
+    34081989013854424879849599533191017233555566021394503997362807501378376153071277
+    61926849034352625200015888535147331611702103968175921510907788019393178114194545
+    25722386554146106289218796022383897147608850627686296714667469756291123408243920
+    81601537808898939645182632436716167621791689097799119037540312746222899880051954
+    44414282012187361745992642956581746628302955570299024324153181617210465832036786
+    90611726015878352075151628422554026517048330422614397428693306169089796848259012
+    54583271682264580665267699586526822728070757813918581788896522081643483448259932
+    66043367660176999612831860788386150279465955131156552036093988180612138558600301
+    43569452722420634463179746059468257310379008402443243846565724501440282188525247
+    09351906209290231364932734975655139587205596542287497740114133469627154228458623
+    77387538230483865688976461927383814900140767310446640259899490222221765904339901
+    88601856652648506179970235619389701786004081188972991831102117122984590164192106
+    88843871218556461249607987229085192968193723886426148396573822911231250241866493
+    53143970137428531926649875337218940694281434118520158014123344828015051399694290
+    15348307764456909907315243327828826986460278986432113908350621709500259738986355
+    42771967428222487575867657523442202075736305694988250879689281627538488633969099
+    59826280956121450994871701244516461260379029309120889086942028510640182154399457
+    15680594187274899809425474217358240106367740459574178516082923013535808184009699
+    63725242305608559037006242712434169090041536901059339838357779394109700277534720
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000000000000000000000000000000000000000000000000000000000000000000000000000000
+    00000
+
+ +

Well, I guess that’s all right, but it’s not very interesting. Let’s try something more useful.

+

RSA Cryptography

+ +

The BigInt module provides all necessary parts to implement an (overly) +simple RSA cryptography system.

+ +

Let’s start with a simple function that generates a random n-bit prime. The module +includes a function to generate random integers of a specific size, and also an +isPrime method that performs the Miller–Rabin primality test. These are all we need:

+
func generatePrime(_ width: Int) -> BigUInt {
+    while true {
+        var random = BigUInt.randomInteger(withExactWidth: width)
+        random |= BigUInt(1)
+        if random.isPrime() {
+            return random
+        }
+    }
+}
+
+let p = generatePrime(1024)
+==> 13308187650642192396256419911012544845370493728424936791561478318443071617242872
+    81980956747087187419914435169914161116601678883358611076800743580556055714173922
+    08406194264346635072293912609713085260354070700055888678514690878149253177960273
+    775659537560220378850112471985434373425534121373466492101182463962031
+
+let q = generatePrime(1024)
+==> 17072954422657145489547308812333368925007949054501204983863958355897172093173783
+    10108226596943999553784252564650624766276133157586733504784616138305701168410157
+    80784336308507083874651158029602582993233111593356512531869546706885170044355115
+    669728424124141763799008880327106952436883614887277350838425336156327
+
+ +

Cool! Now that we have two large primes, we can produce an RSA public/private keypair +out of them.

+
typealias Key = (modulus: BigUInt, exponent: BigUInt)
+
+let n = p * q
+==> 22721008120758282530010953362926306641542233757318103044313144976976529789946696
+    15454966720907712515917481418981591379647635391260569349099666410127279690367978
+    81184375533755888994370640857883754985364288413796100527262763202679037134021810
+    57933883525572232242690805678883227791774442041516929419640051653934584376704034
+    63953169772816907280591934423237977258358097846511079947337857778137177570668391
+    57455417707100275487770399281417352829897118140972240757708561027087217205975220
+    02207275447810167397968435583004676293892340103729490987263776871467057582629588
+    916498579594964478080508868267360515953225283461208420137
+
+let e: BigUInt = 65537
+let phi = (p - 1) * (q - 1)
+let d = e.inverse(phi)!     // d * e % phi == 1
+==> 13964664343869014759736350480776837992604500903989703383202366291905558996277719
+    77822086142456362972689566985925179681282432115598451765899180050962461295573831
+    37069237934291884106584820998146965085531433195106686745474222222620986858696591
+    69836532468835154412554521152103642453158895363417640676611704542784576974374954
+    45789456921660619938185093118762690200980720312508614337759620606992462563490422
+    76669559556568917533268479190948959560397579572761529852891246283539604545691244
+    89999692877158676643042118662613875863504016129837099223040687512684532694527109
+    80742873307409704484365002175294665608486688146261327793
+
+let publicKey: Key = (n, e)
+let privateKey: Key = (n, d)
+
+ +

In RSA, modular exponentiation is used to encrypt (and decrypt) messages.

+
func encrypt(_ message: BigUInt, key: Key) -> BigUInt {
+    return message.power(key.exponent, modulus: key.modulus)
+}
+
+ +

Let’s try out our new keypair by converting a string into UTF-8, interpreting +the resulting binary representation as a big integer, and encrypting it with the +public key. BigUInt has an initializer that takes an NSData, so this is pretty +easy to do:

+
let secret: BigUInt = BigUInt("Arbitrary precision arithmetic is fun!".dataUsingEncoding(NSUTF8StringEncoding)!)
+==> 83323446846105976078466731524728681905293067701804838925389198929123912971229457
+    68818568737
+
+let cyphertext = encrypt(secret, key: publicKey)
+==> 95186982543485985200666516508066093880038842892337880561554910904277290917831453
+    54854954722744805432145474047391353716305176389470779020645959135298322520888633
+    61674945129099575943384767330342554525120384485469428048962027149169876127890306
+    77028183904699491962050888974524603226290836984166164759586952419343589385279641
+    47999991283152843977988979846238236160274201261075188190509539751990119132013021
+    74866638595734222867005089157198503204192264814750832072844208520394603054901706
+    06024394731371973402595826456435944968439153664617188570808940022471990638468783
+    49208193955207336172861151720299024935127021719852700882
+
+ +

Well, it looks encrypted all right, but can we get the original message back? +In theory, encrypting the cyphertext with the private key returns the original message. +Let’s see:

+
let plaintext = encrypt(cyphertext, key: privateKey)
+==> 83323446846105976078466731524728681905293067701804838925389198929123912971229457
+    68818568737
+
+let received = String(data: plaintext.serialize(), encoding: NSUTF8StringEncoding)
+==> "Arbitrary precision arithmetic is fun!"
+
+ +

Yay! This is truly terrific, but please don’t use this example code in an actual +cryptography system. RSA has lots of subtle (and some not so subtle) complications +that we ignored to keep this example short.

+

Calculating the Digits of π

+ +

Another fun activity to try with BigInts is to generate the digits of π. +Let’s try implementing Jeremy Gibbon’s spigot algorithm. +This is a rather slow algorithm as π-generators go, but it makes up for it with its grooviness +factor: it’s remarkably short, it only uses (big) integer arithmetic, and every iteration +produces a single new digit in the base-10 representation of π. This naturally leads to an +implementation as an infinite GeneratorType:

+
func digitsOfPi() -> AnyGenerator<Int> {
+    var q: BigUInt = 1
+    var r: BigUInt = 180
+    var t: BigUInt = 60
+    var i: UInt64 = 2 // Does not overflow until digit #826_566_842
+    return AnyIterator {
+        let u: UInt64 = 3 * (3 * i + 1) * (3 * i + 2)
+        let y = (q.multiplied(byDigit: 27 * i - 12) + 5 * r) / (5 * t)
+        (q, r, t) = (
+            10 * q.multiplied(byDigit: i * (2 * i - 1)),
+            10 * (q.multiplied(byDigit: 5 * i - 2) + r - y * t).multiplied(byDigit: u),
+            t.multiplied(byDigit: u))
+        i += 1
+        return Int(y[0])
+    }
+}
+
+ +

Well, that was surprisingly easy. But does it work? Of course it does!

+
var digits = "π ≈ "
+var count = 0
+for digit in digitsOfPi() {
+    assert(digit < 10)
+    digits += String(digit)
+    count += 1
+    if count == 1 { digits += "." }
+    if count == 1000 { break }
+}
+
+digits
+==> π ≈ 3.14159265358979323846264338327950288419716939937510582097494459230781640628
+    62089986280348253421170679821480865132823066470938446095505822317253594081284811
+    17450284102701938521105559644622948954930381964428810975665933446128475648233786
+    78316527120190914564856692346034861045432664821339360726024914127372458700660631
+    55881748815209209628292540917153643678925903600113305305488204665213841469519415
+    11609433057270365759591953092186117381932611793105118548074462379962749567351885
+    75272489122793818301194912983367336244065664308602139494639522473719070217986094
+    37027705392171762931767523846748184676694051320005681271452635608277857713427577
+    89609173637178721468440901224953430146549585371050792279689258923542019956112129
+    02196086403441815981362977477130996051870721134999999837297804995105973173281609
+    63185950244594553469083026425223082533446850352619311881710100031378387528865875
+    33208381420617177669147303598253490428755468731159562863882353787593751957781857
+    780532171226806613001927876611195909216420198
+
+ +

Now go and have some fun with big integers on your own!

+ +
+
+ + +
+
+
+

© 2021 Károly Lőrentey. (Last updated: 2021-09-06)

+

Generated by jazzy ♪♫ v0.14.0, a Realm project.

+
+ +
+ diff --git a/docs/index/index.json b/docs/index/index.json deleted file mode 100644 index ab9ab7c..0000000 --- a/docs/index/index.json +++ /dev/null @@ -1 +0,0 @@ -{"interfaceLanguages":{"swift":[{"children":[{"title":"Structures","type":"groupMarker"},{"children":[{"title":"Operators","type":"groupMarker"},{"path":"\/documentation\/bigint\/bigint\/&(_:_:)-iwcn","title":"static func & (inout BigInt, BigInt) -> BigInt","type":"op"},{"path":"\/documentation\/bigint\/bigint\/&__(_:_:)-9eday","title":"static func &<< (BigInt, BigInt) -> BigInt","type":"op"},{"path":"\/documentation\/bigint\/bigint\/&__(_:_:)-9v4op","title":"static func &>> (BigInt, BigInt) -> BigInt","type":"op"},{"path":"\/documentation\/bigint\/bigint\/&__=(_:_:)-1zawr","title":"static func &>>= (inout BigInt, BigInt)","type":"op"},{"path":"\/documentation\/bigint\/bigint\/&__=(_:_:)-ys3","title":"static func &<<= (inout BigInt, 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i=t.content,a=t.mimetype,s=t.reason,r=t.type,o=t.status,l=t.changes;return[e.shouldShiftType({content:i,reason:s,status:o})?n("PossiblyChangedType",{attrs:{type:r,changes:l.type}}):e._e(),n("div",{staticClass:"response-reason"},[n("code",[e._v(e._s(s))])]),i?n("ContentNode",{attrs:{content:i}}):e._e(),a?n("PossiblyChangedMimetype",{attrs:{mimetype:a,changes:l.mimetype,change:l.change}}):e._e()]}}])})],1)},fa=[],ma={name:"RestResponses",mixins:[Zn],components:{PossiblyChangedMimetype:na,PossiblyChangedType:Hi,ContentNode:At["a"],ParametersTable:ri,LinkableHeading:Wt["a"]},props:{title:{type:String,required:!0},responses:{type:Array,required:!0}},computed:{anchor:({title:e})=>Object(nn["a"])(e),propertyChanges:({apiChanges:e})=>(e||{}).restResponses},methods:{shouldShiftType:({content:e=[],reason:t,status:n})=>!(e.length||t)&&n}},ya=ma,va=(n("7649"),Object(K["a"])(ya,ga,fa,!1,null,"881189f4",null)),ba=va.exports,Ta={name:"PrimaryContent",components:{ContentNode:At["a"],Parameters:Xn,PropertyListKeyDetails:Hn,PropertyTable:Gi,RestBody:oa,RestEndpoint:Ln,RestParameters:pa,RestResponses:ba,PossibleValues:In},constants:{SectionKind:Ke},props:{sections:{type:Array,required:!0,validator:e=>e.every(({kind:e})=>Object.prototype.hasOwnProperty.call(Ke,e))}},computed:{span(){return{large:9,medium:9,small:12}}},methods:{componentFor(e){return{[Ke.content]:At["a"],[Ke.details]:Hn,[Ke.parameters]:Xn,[Ke.properties]:Gi,[Ke.restBody]:oa,[Ke.restParameters]:pa,[Ke.restHeaders]:pa,[Ke.restCookies]:pa,[Ke.restEndpoint]:Ln,[Ke.restResponses]:ba,[Ke.possibleValues]:In}[e.kind]},propsFor(e){const{bodyContentType:t,content:n,details:i,items:a,kind:s,mimeType:r,parameters:o,title:l,tokens:c,values:d}=e;return{[Ke.content]:{content:n},[Ke.details]:{details:i},[Ke.parameters]:{parameters:o},[Ke.possibleValues]:{values:d},[Ke.properties]:{properties:a,title:l},[Ke.restBody]:{bodyContentType:t,content:n,mimeType:r,parts:o,title:l},[Ke.restCookies]:{parameters:a,title:l},[Ke.restEndpoint]:{tokens:c,title:l},[Ke.restHeaders]:{parameters:a,title:l},[Ke.restParameters]:{parameters:a,title:l},[Ke.restResponses]:{responses:a,title:l}}[s]}}},Sa=Ta,_a=(n("73a8"),Object(K["a"])(Sa,vn,bn,!1,null,"2baae7e0",null)),Ca=_a.exports,ka=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("ContentTable",{attrs:{anchor:e.contentSectionData.anchor,title:e.$t(e.contentSectionData.title)}},e._l(e.sectionsWithSymbols,(function(e){return n("Section",{key:e.type,attrs:{title:e.title,anchor:e.anchor}},[n("List",{attrs:{symbols:e.symbols,type:e.type}})],1)})),1)},wa=[],Ia=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("ul",{ref:"apiChangesDiff",staticClass:"relationships-list",class:e.classes},e._l(e.symbols,(function(t){return n("li",{key:t.identifier,staticClass:"relationships-item"},[t.url?n("router-link",{staticClass:"link",attrs:{to:e.buildUrl(t.url,e.$route.query)}},[n("WordBreak",{attrs:{tag:"code"}},[e._v(e._s(t.title))])],1):n("WordBreak",{attrs:{tag:"code"}},[e._v(e._s(t.title))]),t.conformance?n("ConditionalConstraints",{attrs:{constraints:t.conformance.constraints,prefix:t.conformance.conformancePrefix}}):e._e()],1)})),0)},xa=[];const $a=3,Oa={conformsTo:"conformance",inheritsFrom:"inheritance",inheritedBy:"inheritedBy"};var Da={name:"RelationshipsList",components:{ConditionalConstraints:He["a"],WordBreak:De["a"]},inject:["store","identifier"],mixins:[lt["b"],lt["a"]],props:{symbols:{type:Array,required:!0},type:{type:String,required:!0}},data(){return{state:this.store.state}},computed:{classes({changeType:e,multipleLinesClass:t,displaysMultipleLinesAfterAPIChanges:n}){return[{inline:this.shouldDisplayInline,column:!this.shouldDisplayInline,["changed changed-"+e]:!!e,[t]:n}]},hasAvailabilityConstraints(){return this.symbols.some(e=>!!(e.conformance||{}).constraints)},changes({identifier:e,state:{apiChanges:t}}){return(t||{})[e]||{}},changeType({changes:e,type:t}){const n=Oa[t];if(e.change!==It["c"].modified)return e.change;const i=e[n];if(!i)return;const a=(e,t)=>e.map((e,n)=>[e,t[n]]),s=a(i.previous,i.new).some(([e,t])=>e.content?0===e.content.length&&t.content.length>0:!!t.content);return s?It["c"].added:It["c"].modified},shouldDisplayInline(){const{hasAvailabilityConstraints:e,symbols:t}=this;return t.length<=$a&&!e}},methods:{buildUrl:P["b"]}},Pa=Da,La=(n("9475"),Object(K["a"])(Pa,Ia,xa,!1,null,"4c67b8c7",null)),Aa=La.exports,Na={name:"Relationships",mixins:[Ut["a"]],components:{ContentTable:Zt,List:Aa,Section:ln},props:{sections:{type:Array,required:!0}},computed:{contentSectionData:()=>Kt.relationships,sectionsWithSymbols(){return this.sections.map(e=>({...e,symbols:e.identifiers.reduce((e,t)=>this.references[t]?e.concat(this.references[t]):e,[])}))}}},Ea=Na,ja=Object(K["a"])(Ea,ka,wa,!1,null,null,null),Ba=ja.exports,Ra=n("e8ea"),Ma=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("Section",{staticClass:"availability",attrs:{role:"complementary","aria-label":e.$t("sections.availability")}},[e._l(e.technologies,(function(t){return n("Badge",{key:t,staticClass:"technology"},[n("TechnologyIcon",{staticClass:"tech-icon"}),e._v(" "+e._s(t)+" ")],1)})),e._l(e.platforms,(function(t){return n("Badge",{key:t.name,staticClass:"platform",class:e.changesClassesFor(t.name)},[n("AvailabilityRange",{attrs:{deprecatedAt:t.deprecatedAt,introducedAt:t.introducedAt,platformName:t.name}}),t.deprecatedAt?n("span",{staticClass:"deprecated"},[e._v(" "+e._s(e.$t("aside-kind.deprecated"))+" ")]):t.beta?n("span",{staticClass:"beta"},[e._v(e._s(e.$t("aside-kind.beta")))]):e._e()],1)}))],2)},za=[],Ka=n("3024"),qa=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("span",{attrs:{role:"text","aria-label":e.ariaLabel,title:e.description}},[e._v(" "+e._s(e.text)+" ")])},Fa=[],Ha={name:"AvailabilityRange",props:{deprecatedAt:{type:String,required:!1},introducedAt:{type:String,required:!0},platformName:{type:String,required:!0}},computed:{ariaLabel(){const{deprecatedAt:e,description:t,text:n}=this;return[n].concat(e?this.$t("change-type.deprecated"):[]).concat(t).join(", ")},description(){const{deprecatedAt:e,introducedAt:t,platformName:n}=this;return e?this.$t("availability.introduced-and-deprecated",{name:n,introducedAt:t,deprecatedAt:e}):this.$t("availability.available-on",{name:n,introducedAt:t})},text(){const{deprecatedAt:e,introducedAt:t,platformName:n}=this;return e?`${n} ${t}–${e}`:`${n} ${t}+`}}},Va=Ha,Wa=Object(K["a"])(Va,qa,Fa,!1,null,null,null),Ua=Wa.exports,Ga={name:"Availability",mixins:[lt["b"]],inject:["identifier","store"],components:{Badge:ei["a"],AvailabilityRange:Ua,Section:ie,TechnologyIcon:Ka["a"]},props:{platforms:{type:Array,required:!0},technologies:{type:Array,required:!1}},data(){return{state:this.store.state}},methods:{changeFor(e){const{identifier:t,state:{apiChanges:n}}=this,{availability:i={}}=(n||{})[t]||{},a=i[e];if(a)return a.deprecated?It["c"].deprecated:a.introduced&&!a.introduced.previous?It["c"].added:It["c"].modified}}},Qa=Ga,Xa=(n("2d12"),Object(K["a"])(Qa,Ma,za,!1,null,"602d8130",null)),Ya=Xa.exports,Ja=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("TopicsTable",{attrs:{anchor:e.contentSectionData.anchor,title:e.$t(e.contentSectionData.title),isSymbolDeprecated:e.isSymbolDeprecated,isSymbolBeta:e.isSymbolBeta,sections:e.sections}})},Za=[],es={name:"SeeAlso",components:{TopicsTable:pn},props:{isSymbolDeprecated:Boolean,isSymbolBeta:Boolean,sections:pn.props.sections},computed:{contentSectionData:()=>Kt.seeAlso}},ts=es,ns=Object(K["a"])(ts,Ja,Za,!1,null,null,null),is=ns.exports,as=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"topictitle"},[e.eyebrow?n("span",{staticClass:"eyebrow"},[e._v(e._s(e.eyebrow))]):e._e(),n("h1",{staticClass:"title"},[e._t("default"),e._t("after")],2)])},ss=[],rs={name:"Title",props:{eyebrow:{type:String,required:!1}}},os=rs,ls=(n("3396"),Object(K["a"])(os,as,ss,!1,null,"4492c658",null)),cs=ls.exports,ds=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("TopicsTable",{attrs:{anchor:e.contentSectionData.anchor,title:e.$t(e.contentSectionData.title),isSymbolDeprecated:e.isSymbolDeprecated,isSymbolBeta:e.isSymbolBeta,sections:e.sections,topicStyle:e.topicStyle}})},us=[],hs={name:"Topics",components:{TopicsTable:pn},computed:{contentSectionData:()=>Kt.topics},props:{isSymbolDeprecated:Boolean,isSymbolBeta:Boolean,sections:pn.props.sections,topicStyle:{type:String,required:!0,validator:e=>Object.hasOwnProperty.call(Pe["a"],e)}}},ps=hs,gs=Object(K["a"])(ps,ds,us,!1,null,null,null),fs=gs.exports,ms=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"OnThisPageStickyContainer"},[e._t("default")],2)},ys=[],vs={name:"OnThisPageStickyContainer"},bs=vs,Ts=(n("1e0b"),Object(K["a"])(bs,ms,ys,!1,null,"1b6d0048",null)),Ss=Ts.exports;const _s=1050;var Cs={name:"DocumentationTopic",mixins:[D["a"]],constants:{ON_THIS_PAGE_CONTAINER_BREAKPOINT:_s},inject:{isTargetIDE:{default(){return!1}},store:{default(){return{reset(){},state:{}}}}},components:{Declaration:Dt,OnThisPageStickyContainer:Ss,OnThisPageNav:ze,DocumentationHero:Oe,Abstract:Bt,Aside:N["a"],BetaLegalText:F,ContentNode:At["a"],DefaultImplementations:yn,DownloadButton:Rt["a"],LanguageSwitcher:pe,PrimaryContent:Ca,Relationships:Ba,RequirementMetadata:Ra["a"],Availability:Ya,SeeAlso:is,Title:cs,Topics:fs,ViewMore:be,WordBreak:De["a"]},props:{abstract:{type:Array,required:!1},conformance:{type:Object,required:!1},defaultImplementationsSections:{type:Array,required:!1},downloadNotAvailableSummary:{type:Array,required:!1},deprecationSummary:{type:Array,required:!1},diffAvailability:{type:Object,required:!1},modules:{type:Array,required:!1},hasNoExpandedDocumentation:{type:Boolean,required:!1},hierarchy:{type:Object,default:()=>({})},interfaceLanguage:{type:String,required:!0},identifier:{type:String,required:!0},isRequirement:{type:Boolean,default:()=>!1},platforms:{type:Array,required:!1},primaryContentSections:{type:Array,required:!1},references:{type:Object,required:!0},relationshipsSections:{type:Array,required:!1},roleHeading:{type:String,required:!1},title:{type:String,required:!0},topicSections:{type:Array,required:!1},topicSectionsStyle:{type:String,default:Pe["a"].list},sampleCodeDownload:{type:Object,required:!1},seeAlsoSections:{type:Array,required:!1},languagePaths:{type:Object,default:()=>({})},tags:{type:Array,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},isSymbolDeprecated:{type:Boolean,required:!1},isSymbolBeta:{type:Boolean,required:!1},symbolKind:{type:String,default:""},role:{type:String,default:""},remoteSource:{type:Object,required:!1},pageImages:{type:Array,required:!1},enableMinimized:{type:Boolean,default:!1},enableOnThisPageNav:{type:Boolean,default:!1},disableHeroBackground:{type:Boolean,default:!1},standardColorIdentifier:{type:String,required:!1,validator:e=>Object.prototype.hasOwnProperty.call(we,e)},availableLocales:{type:Array,required:!1}},provide(){return{identifier:this.identifier,languages:new Set(Object.keys(this.languagePaths)),interfaceLanguage:this.interfaceLanguage,symbolKind:this.symbolKind,enableMinimized:this.enableMinimized}},data(){return{topicState:this.store.state}},computed:{normalizedSwiftPath:({swiftPath:e})=>Object(L["d"])(e),normalizedObjcPath:({objcPath:e,swiftPath:t})=>Object(L["d"])(e&&t?Object(P["b"])(e,{language:O["a"].objectiveC.key.url}):e),defaultImplementationsCount(){return(this.defaultImplementationsSections||[]).reduce((e,t)=>e+t.identifiers.length,0)},shouldShowAvailability:({platforms:e,technologies:t,enableMinimized:n})=>((e||[]).length||(t||[]).length)&&!n,hasBetaContent:({platforms:e})=>e&&e.length&&e.some(e=>e.beta),pageTitle:({title:e})=>e,pageDescription:({abstract:e,extractFirstParagraphText:t})=>e?t(e):null,shouldShowLanguageSwitcher:({objcPath:e,swiftPath:t,isTargetIDE:n,enableMinimized:i})=>!!(e&&t&&n)&&!i,enhanceBackground:({symbolKind:e,disableHeroBackground:t,enableMinimized:n})=>!t&&!n&&(!e||"module"===e),shortHero:({roleHeading:e,abstract:t,sampleCodeDownload:n,hasAvailability:i,shouldShowLanguageSwitcher:a,declarations:s})=>!!e+!!t+!!n+!!s.length+!!i+a<=1,technologies({modules:e=[]}){const t=e.reduce((e,t)=>(e.push(t.name),e.concat(t.relatedModules||[])),[]);return t.length>1?t:[]},titleBreakComponent:({enhanceBackground:e})=>e?"span":De["a"],hasPrimaryContent:({isRequirement:e,deprecationSummary:t,downloadNotAvailableSummary:n,primaryContentSectionsSanitized:i,shouldShowViewMoreLink:a})=>e||t&&t.length||n&&n.length||i.length||a,viewMoreLink:({interfaceLanguage:e,normalizedObjcPath:t,normalizedSwiftPath:n})=>e===O["a"].objectiveC.key.api?t:n,shouldShowViewMoreLink:({enableMinimized:e,hasNoExpandedDocumentation:t,viewMoreLink:n})=>e&&!t&&n,tagName(){return this.isSymbolDeprecated?this.$t("aside-kind.deprecated"):this.$t("aside-kind.beta")},pageIcon:({pageImages:e=[]})=>{const t=e.find(({type:e})=>"icon"===e);return t?t.identifier:null},shouldRenderTopicSection:({topicSectionsStyle:e,topicSections:t,enableMinimized:n})=>t&&e!==Pe["a"].hidden&&!n,isOnThisPageNavVisible:({topicState:e})=>e.contentWidth>_s,disableMetadata:({enableMinimized:e})=>e,primaryContentSectionsSanitized({primaryContentSections:e=[]}){return e.filter(({kind:e})=>e!==Ke.declarations)},declarations({primaryContentSections:e=[]}){return e.filter(({kind:e})=>e===Ke.declarations)}},methods:{extractProps(e){const{abstract:t,defaultImplementationsSections:n,deprecationSummary:i,downloadNotAvailableSummary:a,diffAvailability:s,hierarchy:r,identifier:{interfaceLanguage:o,url:l},metadata:{conformance:c,hasNoExpandedDocumentation:d,modules:u,availableLocales:h,platforms:p,required:g=!1,roleHeading:f,title:m="",tags:y=[],role:v,symbolKind:b="",remoteSource:T,images:S=[],color:{standardColorIdentifier:_}={}}={},primaryContentSections:C,relationshipsSections:k,references:w={},sampleCodeDownload:I,topicSectionsStyle:x,topicSections:$,seeAlsoSections:D,variantOverrides:P,variants:L=[]}=e,A=L.reduce((e,t)=>t.traits.reduce((e,n)=>n.interfaceLanguage?{...e,[n.interfaceLanguage]:(e[n.interfaceLanguage]||[]).concat(t.paths)}:e,e),{}),{[O["a"].objectiveC.key.api]:[N]=[],[O["a"].swift.key.api]:[E]=[]}=A;return{abstract:t,conformance:c,defaultImplementationsSections:n,deprecationSummary:i,downloadNotAvailableSummary:a,diffAvailability:s,hasNoExpandedDocumentation:d,availableLocales:h,hierarchy:r,role:v,identifier:l,interfaceLanguage:o,isRequirement:g,modules:u,platforms:p,primaryContentSections:C,relationshipsSections:k,references:w,roleHeading:f,sampleCodeDownload:I,title:m,topicSections:$,topicSectionsStyle:x,seeAlsoSections:D,variantOverrides:P,symbolKind:b,tags:y.slice(0,1),remoteSource:T,pageImages:S,objcPath:N,swiftPath:E,standardColorIdentifier:_}}},created(){if(this.topicState.preferredLanguage===O["a"].objectiveC.key.url&&this.interfaceLanguage!==O["a"].objectiveC.key.api&&this.objcPath&&this.$route.query.language!==O["a"].objectiveC.key.url){const{query:e}=this.$route;this.$nextTick().then(()=>{this.$router.replace({path:Object(L["d"])(this.objcPath),query:{...e,language:O["a"].objectiveC.key.url}})})}A["a"].setAvailableLocales(this.availableLocales||[]),this.store.reset(),this.store.setReferences(this.references)},watch:{references(e){this.store.setReferences(e)},availableLocales(e){A["a"].setAvailableLocales(e)}}},ks=Cs,ws=(n("6d05"),Object(K["a"])(ks,x,$,!1,null,"43c74ad0",null)),Is=ws.exports,xs=n("2b0e");const 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Object(w["d"])({slug:this.$route.params.locale||""});this.navigationIndex=Object.freeze(e),this.navigationReferences=Object.freeze(t)}catch(e){this.errorFetching=!0}finally{this.isFetching=!1}}},watch:{"$route.params.locale":{handler:"fetchIndexData",immediate:!0}},render(){return this.$scopedSlots.default({technology:this.technologyWithChildren,isFetching:this.isFetching,errorFetching:this.errorFetching,isFetchingAPIChanges:this.isFetchingAPIChanges,apiChanges:this.diffs,flatChildren:this.flatChildren,references:this.navigationReferences})}},er=Zs,tr=Object(K["a"])(er,Ys,Js,!1,null,null,null),nr=tr.exports,ir=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("button",{staticClass:"quick-navigation-open",attrs:{"aria-label":e.$t("quicknav.button.label"),title:e.$t("quicknav.button.title")}},[e._v(" / ")])},ar=[],sr={name:"QuickNavigationButton"},rr=sr,or=(n("5a73"),Object(K["a"])(rr,ir,ar,!1,null,"53faf852",null)),lr=or.exports,cr=function(){var e,t,n=this,i=n.$createElement,a=n._self._c||i;return a("GenericModal",{attrs:{isFullscreen:"",showClose:!1,visible:n.isVisible,backdropBackgroundColorOverride:"rgba(0, 0, 0, 0.7)"},on:{"update:visible":function(e){n.isVisible=e}}},[a("div",{staticClass:"quick-navigation",on:{keydown:[function(e){return!e.type.indexOf("key")&&n._k(e.keyCode,"down",40,e.key,["Down","ArrowDown"])||e.ctrlKey||e.shiftKey||e.altKey||e.metaKey?null:(e.preventDefault(),n.focusNext.apply(null,arguments))},function(e){return!e.type.indexOf("key")&&n._k(e.keyCode,"up",38,e.key,["Up","ArrowUp"])||e.ctrlKey||e.shiftKey||e.altKey||e.metaKey?null:(e.preventDefault(),n.focusPrev.apply(null,arguments))},function(e){return!e.type.indexOf("key")&&n._k(e.keyCode,"enter",13,e.key,"Enter")||e.ctrlKey||e.shiftKey||e.altKey||e.metaKey?null:n.handleKeyEnter.apply(null,arguments)}],click:function(e){return e.target!==e.currentTarget?null:n.closeQuickNavigationModal.apply(null,arguments)}}},[a("div",{staticClass:"quick-navigation__container",class:{focus:n.focusedInput}},[a("FilterInput",{staticClass:"quick-navigation__filter",attrs:{placeholder:n.$t("filter.search-symbols",{technology:n.technology}),focusInputWhenCreated:"",focusInputWhenEmpty:"",preventBorderStyle:"",selectInputOnFocus:""},on:{input:function(e){n.focusedIndex=0},focus:function(e){n.focusedInput=!0},blur:function(e){n.focusedInput=!1}},scopedSlots:n._u([{key:"icon",fn:function(){return[a("div",{staticClass:"quick-navigation__magnifier-icon-container",class:{blue:n.userInput.length}},[a("MagnifierIcon")],1)]},proxy:!0}]),model:{value:n.userInput,callback:function(e){n.userInput=e},expression:"userInput"}}),a("div",{staticClass:"quick-navigation__match-list",class:{active:n.processedUserInput.length}},[n.noResultsWereFound?a("div",{staticClass:"no-results"},[a("p",[n._v(" No results found. ")])]):[a("div",n._b({staticClass:"quick-navigation__refs"},"div",(e={},e[n.SCROLL_LOCK_DISABLE_ATTR]=!0,e),!1),n._l(n.filteredSymbols,(function(e,t){return a("Reference",{key:e.uid,staticClass:"quick-navigation__reference",attrs:{url:e.path},nativeOn:{click:function(e){return n.closeQuickNavigationModal.apply(null,arguments)},focus:function(e){return n.focusIndex(t)}}},[a("div",{ref:"match",refInFor:!0,staticClass:"quick-navigation__symbol-match",class:{selected:t==n.focusedIndex},attrs:{role:"list"}},[a("div",{staticClass:"symbol-info"},[a("div",{staticClass:"symbol-name"},[a("TopicTypeIcon",{staticClass:"navigator-icon",attrs:{type:e.type}}),a("div",{staticClass:"symbol-title"},[a("span",{domProps:{textContent:n._s(n.formatSymbolTitle(e.title,0,e.start))}}),a("QuickNavigationHighlighter",{attrs:{text:e.substring,matcherText:n.processedUserInput}}),a("span",{domProps:{textContent:n._s(n.formatSymbolTitle(e.title,e.start+e.matchLength))}})],1)],1),a("div",{staticClass:"symbol-path"},n._l(e.parents,(function(t,i){return a("div",{key:t.title},[a("span",{staticClass:"parent-path",domProps:{textContent:n._s(t.title)}}),i!==e.parents.length-1?a("span",{staticClass:"parent-path",domProps:{textContent:n._s("/")}}):n._e()])})),0)])])])})),1),n.previewState?a("Preview",n._b({staticClass:"quick-navigation__preview",attrs:{json:n.previewJSON,state:n.previewState}},"Preview",(t={},t[n.SCROLL_LOCK_DISABLE_ATTR]=!0,t),!1)):n._e()]],2)],1)])])},dr=[],ur=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"filter",class:{focus:e.showSuggestedTags&&!e.preventBorderStyle},attrs:{role:"search",tabindex:"0","aria-labelledby":e.searchAriaLabelledBy},on:{"!blur":function(t){return e.handleBlur.apply(null,arguments)},"!focus":function(t){return e.handleFocus.apply(null,arguments)}}},[n("div",{class:["filter__wrapper",{"filter__wrapper--reversed":e.positionReversed,"filter__wrapper--no-border-style":e.preventBorderStyle}]},[n("div",{staticClass:"filter__top-wrapper"},[n("button",{staticClass:"filter__filter-button",class:{blue:e.inputIsNotEmpty},attrs:{"aria-hidden":"true",tabindex:"-1"},on:{click:e.focusInput,mousedown:function(e){e.preventDefault()}}},[e._t("icon",(function(){return[n("FilterIcon")]}))],2),n("div",{class:["filter__input-box-wrapper",{scrolling:e.isScrolling}],on:{scroll:e.handleScroll}},[e.hasSelectedTags?n("TagList",e._g(e._b({ref:"selectedTags",staticClass:"filter__selected-tags",attrs:{id:e.SelectedTagsId,input:e.input,tags:e.selectedTags,ariaLabel:e.$tc("filter.selected-tags",e.suggestedTags.length),activeTags:e.activeTags,translatableTags:e.translatableTags,areTagsRemovable:""},on:{"focus-prev":e.handleFocusPrevOnSelectedTags,"focus-next":e.focusInputFromTags,"reset-filters":e.resetFilters,"prevent-blur":function(t){return e.$emit("update:preventedBlur",!0)}}},"TagList",e.virtualKeyboardBind,!1),e.selectedTagsMultipleSelectionListeners)):e._e(),n("label",{staticClass:"filter__input-label",attrs:{id:"filter-label",for:e.FilterInputId,"data-value":e.modelValue,"aria-label":e.placeholder}},[n("input",e._g(e._b({directives:[{name:"model",rawName:"v-model",value:e.modelValue,expression:"modelValue"}],ref:"input",staticClass:"filter__input",attrs:{id:e.FilterInputId,placeholder:e.hasSelectedTags?"":e.placeholder,"aria-expanded":e.displaySuggestedTags?"true":"false",disabled:e.disabled,type:"text"},domProps:{value:e.modelValue},on:{focus:function(t){e.selectInputOnFocus&&e.selectInputAndTags()},keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])?null:(t.preventDefault(),e.downHandler.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])?null:(t.preventDefault(),e.upHandler.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:e.leftKeyInputHandler.apply(null,arguments)},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button?null:e.rightKeyInputHandler.apply(null,arguments)},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"delete",[8,46],t.key,["Backspace","Delete","Del"])?null:e.deleteHandler.apply(null,arguments)},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"a",void 0,t.key,void 0)?null:t.metaKey?(t.preventDefault(),t.stopPropagation(),e.selectInputAndTags.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"a",void 0,t.key,void 0)?null:t.ctrlKey?(t.preventDefault(),e.selectInputAndTags.apply(null,arguments)):null},function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.inputKeydownHandler.apply(null,arguments)},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.enterHandler.apply(null,arguments)},function(t){return t.shiftKey?t.ctrlKey||t.altKey||t.metaKey?null:e.inputKeydownHandler.apply(null,arguments):null},function(t){return t.shiftKey&&t.metaKey?t.ctrlKey||t.altKey?null:e.inputKeydownHandler.apply(null,arguments):null},function(t){return t.metaKey?t.ctrlKey||t.shiftKey||t.altKey?null:e.assignEventValues.apply(null,arguments):null},function(t){return t.ctrlKey?t.shiftKey||t.altKey||t.metaKey?null:e.assignEventValues.apply(null,arguments):null}],input:function(t){t.target.composing||(e.modelValue=t.target.value)}}},"input",e.AXinputProperties,!1),e.inputMultipleSelectionListeners))])],1),n("div",{staticClass:"filter__delete-button-wrapper"},[e.input.length||e.displaySuggestedTags||e.hasSelectedTags?n("button",{staticClass:"filter__delete-button",attrs:{"aria-label":e.$t("filter.reset-filter")},on:{click:function(t){return e.resetFilters(!0)},keydown:function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.stopPropagation(),e.resetFilters(!0))},mousedown:function(e){e.preventDefault()}}},[n("ClearRoundedIcon")],1):e._e()])]),e.displaySuggestedTags?n("TagList",e._b({ref:"suggestedTags",staticClass:"filter__suggested-tags",attrs:{id:e.SuggestedTagsId,ariaLabel:e.$tc("filter.suggested-tags",e.suggestedTags.length),input:e.input,tags:e.suggestedTags,translatableTags:e.translatableTags},on:{"click-tags":function(t){return e.selectTag(t.tagName)},"prevent-blur":function(t){return e.$emit("update:preventedBlur",!0)},"focus-next":function(t){e.positionReversed?e.focusInput():e.$emit("focus-next")},"focus-prev":function(t){e.positionReversed?e.$emit("focus-prev"):e.focusInput()}}},"TagList",e.virtualKeyboardBind,!1)):e._e()],1)])},hr=[],pr=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"clear-rounded-icon",attrs:{viewBox:"0 0 16 16",themeId:"clear-rounded"}},[n("title",[e._v(e._s(e.$t("icons.clear")))]),n("path",{attrs:{d:"M14.55,0l1.45,1.45-6.56,6.55,6.54,6.54-1.45,1.45-6.53-6.53L1.47,15.99,.01,14.53l6.52-6.53L0,1.47,1.45,.02l6.55,6.54L14.55,0Z","fill-rule":"evenodd"}})])},gr=[],fr=n("be08"),mr={name:"ClearRoundedIcon",components:{SVGIcon:fr["a"]}},yr=mr,vr=Object(K["a"])(yr,pr,gr,!1,null,null,null),br=vr.exports;function Tr(){if(window.getSelection)try{const{activeElement:e}=document;return e&&e.value?e.value.substring(e.selectionStart,e.selectionEnd):window.getSelection().toString()}catch(e){return""}else if(document.selection&&"Control"!==document.selection.type)return document.selection.createRange().text;return""}function Sr(e){if("number"===typeof e.selectionStart)e.selectionStart=e.selectionEnd=e.value.length;else if("undefined"!==typeof e.createTextRange){e.focus();const t=e.createTextRange();t.collapse(!1),t.select()}}function _r(e){e.selectionStart=e.selectionEnd=0}function Cr(e){return/^[\w\W\s]$/.test(e)}function kr(e){const t=e.match(/(.*)<\/data>/);try{return t?JSON.parse(t[1]):null}catch(n){return null}}function wr(e){return"string"!==typeof e&&(e=JSON.stringify(e)),`${e}`}function Ir(e,t,n,i){let a,s;return function(...r){function o(){clearTimeout(a),a=null}function l(){o(),e.apply(s,r)}if(s=this,!a||!n&&!i){if(!n)return o(),void(a=setTimeout(l,t));a=setTimeout(o,t),e.apply(s,r)}}}const xr=280,$r=100;var Or={data(){return{keyboardIsVirtual:!1,activeTags:[],initTagIndex:null,focusedTagIndex:null,metaKey:!1,shiftKey:!1,tabbing:!1,debouncedHandleDeleteTag:null}},constants:{DebounceDelay:xr,VirtualKeyboardThreshold:$r},computed:{virtualKeyboardBind:({keyboardIsVirtual:e})=>({keyboardIsVirtual:e}),allSelectedTagsAreActive:({selectedTags:e,activeTags:t})=>e.every(e=>t.includes(e))},methods:{selectRangeActiveTags(e=this.focusedTagIndex,t=this.selectedTags.length){this.activeTags=this.selectedTags.slice(e,t)},selectTag(e){this.updateSelectedTags([e]),this.clearFilterOnTagSelect&&this.setFilterInput("")},unselectActiveTags(){this.activeTags.length&&(this.deleteTags(this.activeTags),this.resetActiveTags())},async deleteHandler(e){this.activeTags.length>0&&this.setSelectedTags(this.selectedTags.filter(e=>!this.activeTags.includes(e))),this.inputIsSelected()&&this.allSelectedTagsAreActive?(e.preventDefault(),await this.resetFilters()):0===this.$refs.input.selectionEnd&&this.hasSelectedTags&&(e.preventDefault(),this.keyboardIsVirtual?this.setSelectedTags(this.selectedTags.slice(0,-1)):this.$refs.selectedTags.focusLast()),this.unselectActiveTags()},leftKeyInputHandler(e){if(this.assignEventValues(e),this.hasSelectedTags){if(this.activeTags.length&&!this.shiftKey)return e.preventDefault(),void this.$refs.selectedTags.focusTag(this.activeTags[0]);if(this.shiftKey&&0===this.$refs.input.selectionStart&&"forward"!==this.$refs.input.selectionDirection)return null===this.focusedTagIndex&&(this.focusedTagIndex=this.selectedTags.length),this.focusedTagIndex>0&&(this.focusedTagIndex-=1),this.initTagIndex=this.selectedTags.length,void this.selectTagsPressingShift();(0===this.$refs.input.selectionEnd||this.inputIsSelected())&&this.$refs.selectedTags.focusLast()}},rightKeyInputHandler(e){if(this.assignEventValues(e),this.activeTags.length&&this.shiftKey&&this.focusedTagIndex=$r&&(this.keyboardIsVirtual=!0)}),xr),setFilterInput(e){this.$emit("update:input",e)},setSelectedTags(e){this.$emit("update:selectedTags",e)},updateSelectedTags(e){this.setSelectedTags([...new Set([...this.selectedTags,...e])])},handleCopy(e){e.preventDefault();const t=[],n={tags:[],input:Tr()};if(this.activeTags.length){const e=this.activeTags;n.tags=e,t.push(e.join(" "))}return t.push(n.input),n.tags.length||n.input.length?(e.clipboardData.setData("text/html",wr(n)),e.clipboardData.setData("text/plain",t.join(" ")),n):n},handleCut(e){e.preventDefault();const{input:t,tags:n}=this.handleCopy(e);if(!t&&!n.length)return;const i=this.selectedTags.filter(e=>!n.includes(e)),a=this.input.replace(t,"");this.setSelectedTags(i),this.setFilterInput(a)},handlePaste(e){e.preventDefault();const{types:t}=e.clipboardData;let n=[],i=e.clipboardData.getData("text/plain");if(t.includes("text/html")){const t=e.clipboardData.getData("text/html"),a=kr(t);a&&({tags:n=[],input:i=""}=a)}const a=Tr();i=a.length?this.input.replace(a,i):Object(nn["f"])(this.input,i,document.activeElement.selectionStart),this.setFilterInput(i.trim()),this.allSelectedTagsAreActive?this.setSelectedTags(n):this.updateSelectedTags(n),this.resetActiveTags()},async handleDeleteTag({tagName:e,event:t={}}){const{key:n}=t;this.activeTags.length||this.deleteTags([e]),this.unselectActiveTags(),await this.$nextTick(),Sr(this.$refs.input),this.hasSelectedTags&&(await this.focusInput(),"Backspace"===n&&_r(this.$refs.input))}},mounted(){window.visualViewport&&(window.visualViewport.addEventListener("resize",this.updateKeyboardType),this.$once("hook:beforeDestroy",()=>{window.visualViewport.removeEventListener("resize",this.updateKeyboardType)}))}};const Dr=1e3;var Pr={constants:{ScrollingDebounceDelay:Dr},data(){return{isScrolling:!1,scrollRemovedAt:0}},created(){this.deleteScroll=Ir(this.deleteScroll,Dr)},methods:{deleteScroll(){this.isScrolling=!1,this.scrollRemovedAt=Date.now()},handleScroll(e){const{target:t}=e;if(0!==t.scrollTop)return t.scrollTop=0,void e.preventDefault();const n=150,i=t.offsetWidth,a=i+n;if(t.scrollWidth0?this.focusIndex(this.focusedIndex-1):this.startingPointHook())},focusNext({metaKey:e,ctrlKey:t,shiftKey:n}){(e||t)&&n||(this.externalFocusChange=!1,this.focusedIndex0}},Kr=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("li",{staticClass:"tag",attrs:{role:"presentation"}},[n("button",{ref:"button",class:{focus:e.isActiveTag},attrs:{role:"option","aria-selected":e.ariaSelected,"aria-roledescription":"tag"},on:{focus:function(t){return e.$emit("focus",{event:t,tagName:e.name})},click:function(t){return t.preventDefault(),e.$emit("click",{event:t,tagName:e.name})},dblclick:function(t){t.preventDefault(),!e.keyboardIsVirtual&&e.deleteTag()},keydown:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name})},function(t){return t.shiftKey?t.ctrlKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.shiftKey&&t.metaKey?t.ctrlKey||t.altKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.metaKey?t.ctrlKey||t.shiftKey||t.altKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.ctrlKey?t.shiftKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"delete",[8,46],t.key,["Backspace","Delete","Del"])?null:(t.preventDefault(),e.deleteTag.apply(null,arguments))}],mousedown:function(t){return t.preventDefault(),e.focusButton.apply(null,arguments)},copy:e.handleCopy}},[e.isRemovableTag?e._e():n("span",{staticClass:"visuallyhidden"},[e._v(" "+e._s(e.$t("filter.add-tag"))+" - ")]),e.isTranslatableTag?[e._v(" "+e._s(e.$t(e.name))+" ")]:[e._v(" "+e._s(e.name)+" ")],e.isRemovableTag?n("span",{staticClass:"visuallyhidden"},[e._v(" – "+e._s(e.$t("filter.tag-select-remove"))+" ")]):e._e()],2)])},qr=[],Fr={name:"Tag",props:{name:{type:String,required:!0},isFocused:{type:Boolean,default:()=>!1},isRemovableTag:{type:Boolean,default:!1},isTranslatableTag:{type:Boolean,default:!1},isActiveTag:{type:Boolean,default:!1},activeTags:{type:Array,required:!1},keyboardIsVirtual:{type:Boolean,default:!1}},watch:{isFocused(e){e&&this.focusButton()}},mounted(){document.addEventListener("copy",this.handleCopy),document.addEventListener("cut",this.handleCut),document.addEventListener("paste",this.handlePaste),this.$once("hook:beforeDestroy",()=>{document.removeEventListener("copy",this.handleCopy),document.removeEventListener("cut",this.handleCut),document.removeEventListener("paste",this.handlePaste)})},methods:{isCurrentlyActiveElement(){return document.activeElement===this.$refs.button},handleCopy(e){if(!this.isCurrentlyActiveElement())return;e.preventDefault();let t=[];t=this.activeTags.length>0?this.activeTags:[this.name],e.clipboardData.setData("text/html",wr({tags:t})),e.clipboardData.setData("text/plain",t.join(" "))},handleCut(e){this.isCurrentlyActiveElement()&&this.isRemovableTag&&(this.handleCopy(e),this.deleteTag(e))},handlePaste(e){this.isCurrentlyActiveElement()&&this.isRemovableTag&&(e.preventDefault(),this.deleteTag(e),this.$emit("paste-content",e))},deleteTag(e){this.$emit("delete-tag",{tagName:this.name,event:e}),this.$emit("prevent-blur")},focusButton(e={}){this.keyboardIsVirtual||this.$refs.button.focus(),0===e.buttons&&this.isFocused&&this.deleteTag(e)}},computed:{ariaSelected:({isActiveTag:e,isRemovableTag:t})=>t?e?"true":"false":null}},Hr=Fr,Vr=(n("f055"),Object(K["a"])(Hr,Kr,qr,!1,null,"7e76f326",null)),Wr=Vr.exports,Ur={name:"Tags",mixins:[Pr,zr],props:{tags:{type:Array,default:()=>[]},activeTags:{type:Array,default:()=>[]},translatableTags:{type:Array,default:()=>[]},ariaLabel:{type:String,required:!1},id:{type:String,required:!1},input:{type:String,default:null},areTagsRemovable:{type:Boolean,default:!1},keyboardIsVirtual:{type:Boolean,default:!1}},components:{Tag:Wr},methods:{focusTag(e){this.focusIndex(this.tags.indexOf(e))},startingPointHook(){this.$emit("focus-prev")},handleFocus(e,t){this.focusIndex(t),this.isScrolling=!1,this.$emit("focus",e)},endingPointHook(){this.$emit("focus-next")},resetScroll(){this.$refs["scroll-wrapper"].scrollLeft=0},handleKeydown(e){const{key:t}=e,n=this.tags[this.focusedIndex];Cr(t)&&n&&this.$emit("delete-tag",{tagName:n.label||n,event:e})}},computed:{totalItemsToNavigate:({tags:e})=>e.length}},Gr=Ur,Qr=(n("9f17"),Object(K["a"])(Gr,Rr,Mr,!1,null,"1f2bd813",null)),Xr=Qr.exports;const Yr=5,Jr="filter-input",Zr="selected-tags",eo="suggested-tags",to={autocorrect:"off",autocapitalize:"off",spellcheck:"false",role:"combobox","aria-haspopup":"true","aria-autocomplete":"none","aria-owns":"suggestedTags","aria-controls":"suggestedTags"};var no,io,ao={name:"FilterInput",mixins:[Pr,Or],constants:{FilterInputId:Jr,SelectedTagsId:Zr,SuggestedTagsId:eo,AXinputProperties:to,TagLimit:Yr},components:{TagList:Xr,ClearRoundedIcon:br,FilterIcon:Br},props:{positionReversed:{type:Boolean,default:()=>!1},tags:{type:Array,default:()=>[]},selectedTags:{type:Array,default:()=>[]},preventedBlur:{type:Boolean,default:()=>!1},placeholder:{type:String,default:()=>""},disabled:{type:Boolean,default:()=>!1},value:{type:String,default:()=>""},shouldTruncateTags:{type:Boolean,default:!1},focusInputWhenCreated:{type:Boolean,default:!1},focusInputWhenEmpty:{type:Boolean,default:!1},selectInputOnFocus:{type:Boolean,default:!1},clearFilterOnTagSelect:{type:Boolean,default:!0},preventBorderStyle:{type:Boolean,default:!1},translatableTags:{type:Array,default:()=>[]}},data(){return{resetedTagsViaDeleteButton:!1,FilterInputId:Jr,SelectedTagsId:Zr,SuggestedTagsId:eo,AXinputProperties:to,showSuggestedTags:!1}},computed:{hasSuggestedTags:({suggestedTags:e})=>e.length,hasSelectedTags:({selectedTags:e})=>e.length,inputIsNotEmpty:({input:e,hasSelectedTags:t})=>e.length||t,searchAriaLabelledBy:({hasSelectedTags:e})=>e?Jr.concat(" ",Zr):Jr,modelValue:{get:({value:e})=>e,set(e){this.$emit("input",e)}},input:({value:e})=>e,suggestedTags:({tags:e,selectedTags:t,shouldTruncateTags:n})=>{const i=e.filter(e=>!t.includes(e));return n?i.slice(0,Yr):i},displaySuggestedTags:({showSuggestedTags:e,suggestedTags:t})=>e&&t.length>0,inputMultipleSelectionListeners:({resetActiveTags:e,handleCopy:t,handleCut:n,handlePaste:i})=>({click:e,copy:t,cut:n,paste:i}),selectedTagsMultipleSelectionListeners:({handleSingleTagClick:e,selectInputAndTags:t,handleDeleteTag:n,selectedTagsKeydownHandler:i,focusTagHandler:a,handlePaste:s})=>({"click-tags":e,"select-all":t,"delete-tag":n,keydown:i,focus:a,"paste-tags":s})},watch:{async selectedTags(){this.resetedTagsViaDeleteButton?this.resetedTagsViaDeleteButton=!1:this.$el.contains(document.activeElement)&&await this.focusInput(),this.displaySuggestedTags&&this.hasSuggestedTags&&this.$refs.suggestedTags.resetScroll()},suggestedTags:{immediate:!0,handler(e){this.$emit("suggested-tags",e)}},showSuggestedTags(e){this.$emit("show-suggested-tags",e)}},methods:{async focusInput(){await this.$nextTick(),this.$refs.input.focus(),!this.input&&this.resetActiveTags&&this.resetActiveTags()},async resetFilters(e=!1){if(this.setFilterInput(""),this.setSelectedTags([]),!e)return this.$emit("update:preventedBlur",!0),this.resetActiveTags&&this.resetActiveTags(),void await this.focusInput();this.resetedTagsViaDeleteButton=!0,this.showSuggestedTags=!1,this.$refs.input.blur()},focusFirstTag(e=(()=>{})){this.showSuggestedTags||(this.showSuggestedTags=!0),this.hasSuggestedTags&&this.$refs.suggestedTags?this.$refs.suggestedTags.focusFirst():e()},setFilterInput(e){this.$emit("input",e)},setSelectedTags(e){this.$emit("update:selectedTags",e)},deleteTags(e){this.setSelectedTags(this.selectedTags.filter(t=>!e.includes(t)))},async handleBlur(e){const t=e.relatedTarget;t&&t.matches&&t.matches("button, input, ul")&&this.$el.contains(t)||(await this.$nextTick(),this.resetActiveTags(),this.preventedBlur?this.$emit("update:preventedBlur",!1):(this.showSuggestedTags=!1,this.$emit("blur")))},downHandler(e){const t=()=>this.$emit("focus-next",e);this.positionReversed?t():this.focusFirstTag(t)},upHandler(e){const t=()=>this.$emit("focus-prev",e);this.positionReversed?this.focusFirstTag(t):t()},handleFocusPrevOnSelectedTags(){this.positionReversed?this.focusFirstTag(()=>this.$emit("focus-prev")):this.$emit("focus-prev")},handleFocus(){this.showSuggestedTags=!0,this.$emit("focus")}},created(){this.focusInputWhenCreated&&document.activeElement!==this.$refs.input&&(this.inputIsNotEmpty||this.focusInputWhenEmpty)&&this.focusInput()}},so=ao,ro=(n("7309"),Object(K["a"])(so,ur,hr,!1,null,"3f01a546",null)),oo=ro.exports,lo=n("c161"),co={name:"QuickNavigationHighlighter",props:{text:{type:String,required:!0},matcherText:{type:String,default:""}},render(e){const{matcherText:t,text:n}=this,i=[];let a=0;return t?([...t].forEach(t=>{const s=n.toLowerCase().indexOf(t.toLowerCase(),a);a&&i.push(e("span",n.slice(a,s)));const r=s+1;i.push(e("span",{class:"match"},n.slice(s,r))),a=r}),e("p",{class:"highlight"},i)):e("span",{class:"highlight"},n)}},uo=co,ho=(n("ca3d"),Object(K["a"])(uo,no,io,!1,null,"1c4190f0",null)),po=ho.exports,go=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"magnifier-icon",attrs:{viewBox:"0 0 14 14",themeId:"magnifier"}},[n("path",{attrs:{d:"M15.0013 14.0319L10.9437 9.97424C11.8165 8.88933 12.2925 7.53885 12.2929 6.14645C12.2929 2.75841 9.53449 0 6.14645 0C2.75841 0 0 2.75841 0 6.14645C0 9.53449 2.75841 12.2929 6.14645 12.2929C7.57562 12.2929 8.89486 11.7932 9.94425 10.9637L14.0019 15.0213L15.0013 14.0319ZM6.13645 11.0736C4.83315 11.071 3.58399 10.5521 2.66241 9.63048C1.74084 8.70891 1.22194 7.45974 1.2193 6.15644C1.2193 3.44801 3.41802 1.23928 6.13645 1.23928C8.85488 1.23928 11.0536 3.44801 11.0536 6.15644C11.0636 8.86488 8.85488 11.0736 6.13645 11.0736Z"}})])},fo=[],mo={name:"MagnifierIcon",components:{SVGIcon:fr["a"]}},yo=mo,vo=Object(K["a"])(yo,go,fo,!1,null,null,null),bo=vo.exports,To=n("86d8"),So=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"preview"},[e.state===e.STATE.success?n("DocumentationTopic",e._b({attrs:{enableMinimized:""}},"DocumentationTopic",e.topicProps,!1)):e.state===e.STATE.loadingSlowly?n("div",{staticClass:"loading"},e._l(e.LOADER_ROW_STYLES,(function(e){return n("div",{key:e["--index"],staticClass:"loading-row",style:e})})),0):e.state===e.STATE.error?n("div",{staticClass:"unavailable"},[n("p",[e._v("Preview unavailable")])]):e._e()],1)},_o=[];const{extractProps:Co}=Is.methods,ko="hero",wo={error:"error",loading:"loading",loadingSlowly:"loadingSlowly",success:"success"},Io={...js,state:Object(w["a"])(js.state)};var xo={name:"QuickNavigationPreview",components:{DocumentationTopic:Is},constants:{PreviewState:wo,PreviewStore:Io},data(){return{store:Io}},provide(){return{store:this.store}},props:{json:{type:Object,required:!1},state:{type:String,required:!0,validator:e=>Object.hasOwnProperty.call(wo,e)}},computed:{LOADER_ROW_STYLES:()=>[{"--index":0,width:"30%"},{"--index":1,width:"80%"},{"--index":2,width:"50%"}],STATE:()=>wo,topicProps:({json:e})=>{const t=Co(e),{sections:n=[]}=e;let{abstract:i}=t;const a=n.find(({kind:e})=>e===ko);return!i&&a&&(i=a.content),{...t,abstract:i}}}},$o=xo,Oo=(n("c1f5"),Object(K["a"])($o,So,_o,!1,null,"6fb5ba95",null)),Do=Oo.exports;class Po{constructor(e){this.map=new Map,this.maxSize=e}get size(){return this.map.size}get(e){if(!this.map.has(e))return;const t=this.map.get(e);return this.map.delete(e),this.map.set(e,t),t}has(e){return this.map.has(e)}set(e,t){if(this.map.has(e)&&this.map.delete(e),this.map.set(e,t),this.map.size>this.maxSize){const e=this.map.keys().next().value;this.map.delete(e)}}*[Symbol.iterator](){yield*this.map}}var Lo=n("f2af");const{PreviewState:Ao}=Do.constants,No="AbortError",Eo=20,jo=1e3;var Bo={name:"QuickNavigationModal",components:{FilterInput:oo,GenericModal:lo["a"],MagnifierIcon:bo,TopicTypeIcon:_e["a"],QuickNavigationHighlighter:po,Reference:To["a"],Preview:Do},mixins:[zr],created(){this.abortController=null,this.$cachedSymbolResults=new Po(Eo),this.loadingTimeout=null},data(){return{debouncedInput:"",userInput:"",focusedInput:!1,cachedSymbolResults:{},previewIsLoadingSlowly:!1,SCROLL_LOCK_DISABLE_ATTR:Lo["a"]}},props:{children:{type:Array,required:!0},showQuickNavigationModal:{type:Boolean,required:!0},technology:{type:String,required:!0}},computed:{childrenMap({children:e}){return Vs(e)},filteredSymbols:({constructFuzzyRegex:e,children:t,fuzzyMatch:n,processedUserInput:i,childrenMap:a,orderSymbolsByPriority:s})=>{const r=t.filter(e=>"groupMarker"!==e.type&&null!=e.title);if(!i)return[];const o=n({inputLength:i.length,symbols:r,processedInputRegex:new RegExp(e(i),"i"),childrenMap:a}),l=[...new Map(o.map(e=>[e.path,e])).values()];return s(l).slice(0,Eo)},isVisible:{get:({showQuickNavigationModal:e})=>e,set(e){this.$emit("update:showQuickNavigationModal",e)}},noResultsWereFound:({processedUserInput:e,totalItemsToNavigate:t})=>e.length&&!t,processedUserInput:({debouncedInput:e})=>e.replace(/\s/g,""),totalItemsToNavigate:({filteredSymbols:e})=>e.length,selectedSymbol:({filteredSymbols:e,focusedIndex:t})=>null!==t?e[t]:null,nextSymbol:({filteredSymbols:e,focusedIndex:t})=>{if(null===t)return null;let n=t+1;return n>=e.length&&(n=0),e[n]},previewJSON:({cachedSymbolResults:e,selectedSymbol:t})=>t?(e[t.uid]||{}).json:null,previewState:({cachedSymbolResults:e,previewIsLoadingSlowly:t,selectedSymbol:n})=>n&&Object.hasOwnProperty.call(e,n.uid)?e[n.uid].success?Ao.success:Ao.error:t?Ao.loadingSlowly:Ao.loading},watch:{userInput:"debounceInput",focusedIndex:"scrollIntoView",selectedSymbol:"fetchSelectedSymbolData",$route:"closeQuickNavigationModal"},methods:{closeQuickNavigationModal(){this.$emit("update:showQuickNavigationModal",!1)},constructFuzzyRegex(e){return[...e].reduce((t,n,i)=>t.concat(`[${n}]`).concat(i{const a=n.exec(t.title);if(!a)return!1;const s=a[0].length;return!(s>3*e)&&{uid:t.uid,title:t.title,path:t.path,parents:Qs(t.parent,i),type:t.type,inputLengthDifference:t.title.length-e,matchLength:s,matchLengthDifference:s-e,start:a.index,substring:a[0]}}).filter(Boolean)},handleKeyEnter(){!this.noResultsWereFound&&this.userInput.length&&(this.$router.push(this.filteredSymbols[this.focusedIndex].path),this.closeQuickNavigationModal())},orderSymbolsByPriority(e){return e.sort((e,t)=>e.matchLengthDifference>t.matchLengthDifference?1:e.matchLengthDifferencet.start?1:e.startt.inputLengthDifference?1:e.inputLengthDifference{this.previewState===Ao.loading&&(this.previewIsLoadingSlowly=!0)},jo),!this.selectedSymbol||this.$cachedSymbolResults.has(this.selectedSymbol.uid))return clearTimeout(this.loadingTimeout),void(this.previewIsLoadingSlowly=!1);const e=async e=>{if(e&&!this.$cachedSymbolResults.has(e.uid))try{const t=await Object(w["b"])(e.path,{signal:this.abortController.signal});this.$cachedSymbolResults.set(e.uid,{success:!0,json:t})}catch(t){t.name!==No&&this.$cachedSymbolResults.set(e.uid,{success:!1})}finally{this.cachedSymbolResults=Object.freeze(Object.fromEntries(this.$cachedSymbolResults))}};this.abortController&&this.abortController.abort(),this.abortController=new AbortController,await Promise.all([e(this.selectedSymbol).finally(()=>{clearTimeout(this.loadingTimeout),this.previewIsLoadingSlowly=!1}),e(this.nextSymbol)])}}},Ro=Bo,Mo=(n("dfa5"),Object(K["a"])(Ro,cr,dr,!1,null,"71686791",null)),zo=Mo.exports,Ko=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"adjustable-sidebar-width",class:{dragging:e.isDragging,"sidebar-hidden":e.hiddenOnLarge}},[n("div",{ref:"sidebar",staticClass:"sidebar"},[n("div",{ref:"aside",staticClass:"aside",class:e.asideClasses,style:e.asideStyles,attrs:{"aria-hidden":e.hiddenOnLarge?"true":null},on:{transitionstart:function(t){return t.target!==t.currentTarget?null:e.trackTransitionStart.apply(null,arguments)},transitionend:function(t){return t.target!==t.currentTarget?null:e.trackTransitionEnd.apply(null,arguments)}}},[e._t("aside",null,{animationClass:"aside-animated-child",scrollLockID:e.scrollLockID,breakpoint:e.breakpoint})],2),e.fixedWidth?e._e():n("div",{staticClass:"resize-handle",on:{mousedown:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)},touchstart:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)}}})]),n("div",{ref:"content",staticClass:"content"},[e._t("default")],2),n("BreakpointEmitter",{attrs:{scope:e.BreakpointScopes.nav},on:{change:function(t){e.breakpoint=t}}})],1)},qo=[],Fo=n("5d2d"),Ho=n("a97e"),Vo=n("63b8"),Wo=n("c8e2"),Uo=n("95da"),Go=n("942d");const Qo="sidebar",Xo=1921,Yo=543,Jo=400,Zo={touch:{move:"touchmove",end:"touchend"},mouse:{move:"mousemove",end:"mouseup"}},el=(e,t=window.innerWidth)=>{const n=Math.min(t,Xo);return Math.floor(Math.min(n*(e/100),n))},tl={medium:30,large:20},nl={medium:50,large:50},il="sidebar-scroll-lock";var al={name:"AdjustableSidebarWidth",constants:{SCROLL_LOCK_ID:il},components:{BreakpointEmitter:Ho["a"]},inject:["store"],props:{shownOnMobile:{type:Boolean,default:!1},hiddenOnLarge:{type:Boolean,default:!1},fixedWidth:{type:Number,default:null}},data(){const e=window.innerWidth,t=window.innerHeight,n=Vo["b"].large,i=el(tl[n]),a=el(nl[n]),s=e>=Xo?Yo:Jo,r=Fo["c"].get(Qo,s);return{isDragging:!1,width:this.fixedWidth||Math.min(Math.max(r,i),a),isTouch:!1,windowWidth:e,windowHeight:t,breakpoint:n,noTransition:!1,isTransitioning:!1,isOpeningOnLarge:!1,focusTrapInstance:null,mobileTopOffset:0,topOffset:0}},computed:{minWidthPercent:({breakpoint:e})=>tl[e]||0,maxWidthPercent:({breakpoint:e})=>nl[e]||100,maxWidth:({maxWidthPercent:e,windowWidth:t,fixedWidth:n})=>Math.max(n,el(e,t)),minWidth:({minWidthPercent:e,windowWidth:t,fixedWidth:n})=>Math.min(n||t,el(e,t)),widthInPx:({width:e})=>e+"px",hiddenOnLargeThreshold:({minWidth:e})=>e/2,events:({isTouch:e})=>e?Zo.touch:Zo.mouse,asideStyles:({widthInPx:e,mobileTopOffset:t,topOffset:n,windowHeight:i})=>({width:e,"--top-offset":n?n+"px":null,"--top-offset-mobile":t+"px","--app-height":i+"px"}),asideClasses:({isDragging:e,shownOnMobile:t,noTransition:n,isTransitioning:i,hiddenOnLarge:a,mobileTopOffset:s,isOpeningOnLarge:r})=>({dragging:e,"show-on-mobile":t,"hide-on-large":a,"is-opening-on-large":r,"no-transition":n,"sidebar-transitioning":i,"has-mobile-top-offset":s}),scrollLockID:()=>il,BreakpointScopes:()=>Vo["c"]},async mounted(){window.addEventListener("keydown",this.onEscapeKeydown),window.addEventListener("resize",this.storeWindowSize,{passive:!0}),window.addEventListener("orientationchange",this.storeWindowSize,{passive:!0}),this.storeTopOffset(),0===this.topOffset&&0===window.scrollY||window.addEventListener("scroll",this.storeTopOffset,{passive:!0}),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("keydown",this.onEscapeKeydown),window.removeEventListener("resize",this.storeWindowSize),window.removeEventListener("orientationchange",this.storeWindowSize),window.removeEventListener("scroll",this.storeTopOffset),this.shownOnMobile&&this.toggleScrollLock(!1),this.focusTrapInstance&&this.focusTrapInstance.destroy()}),await this.$nextTick(),this.focusTrapInstance=new Wo["a"](this.$refs.aside)},watch:{$route:"closeMobileSidebar",width:{immediate:!0,handler:Ne((function(e){this.emitEventChange(e)}),150)},windowWidth:"getWidthInCheck",async breakpoint(e){this.getWidthInCheck(),e===Vo["b"].large&&this.closeMobileSidebar(),this.noTransition=!0,await Object(Ee["b"])(5),this.noTransition=!1},shownOnMobile:"handleExternalOpen",async isTransitioning(e){e?(await Object(Ee["a"])(1e3),this.isTransitioning=!1):this.updateContentWidthInStore()},hiddenOnLarge(){this.isTransitioning=!0}},methods:{getWidthInCheck:Ir((function(){this.width>this.maxWidth?this.width=this.maxWidth:this.widththis.maxWidth&&(i=this.maxWidth),this.hiddenOnLarge&&i>=this.hiddenOnLargeThreshold&&(this.$emit("update:hiddenOnLarge",!1),this.isOpeningOnLarge=!0),this.width=Math.max(i,this.minWidth),i<=this.hiddenOnLargeThreshold&&this.$emit("update:hiddenOnLarge",!0)},stopDrag(e){e.preventDefault(),this.isDragging&&(this.isDragging=!1,Fo["c"].set(Qo,this.width),document.removeEventListener(this.events.move,this.handleDrag),document.removeEventListener(this.events.end,this.stopDrag),this.emitEventChange(this.width))},emitEventChange(e){this.$emit("width-change",e),this.updateContentWidthInStore()},getTopOffset(){const e=document.getElementById(Go["e"]);if(!e)return 0;const{y:t}=e.getBoundingClientRect();return Math.max(t,0)},handleExternalOpen(e){e&&(this.mobileTopOffset=this.getTopOffset()),this.toggleScrollLock(e)},async updateContentWidthInStore(){await this.$nextTick(),this.store.setContentWidth(this.$refs.content.offsetWidth)},async toggleScrollLock(e){const t=document.getElementById(this.scrollLockID);e?(await this.$nextTick(),Lo["b"].lockScroll(t),this.focusTrapInstance.start(),Uo["a"].hide(this.$refs.aside)):(Lo["b"].unlockScroll(t),this.focusTrapInstance.stop(),Uo["a"].show(this.$refs.aside))},storeTopOffset:Ne((function(){this.topOffset=this.getTopOffset()}),60),async trackTransitionStart({propertyName:e}){"width"!==e&&"transform"!==e||(this.isTransitioning=!0)},trackTransitionEnd({propertyName:e}){"width"!==e&&"transform"!==e||(this.isTransitioning=!1,this.isOpeningOnLarge=!1)}}},sl=al,rl=(n("cb1f"),Object(K["a"])(sl,Ko,qo,!1,null,"f3c6416c",null)),ol=rl.exports,ll=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("nav",{staticClass:"navigator",attrs:{"aria-labelledby":e.INDEX_ROOT_KEY}},[e.isFetching?n("LoadingNavigatorCard",e._b({on:{close:function(t){return e.$emit("close")}}},"LoadingNavigatorCard",e.technologyProps,!1)):n("NavigatorCard",e._b({attrs:{type:e.type,children:e.flatChildren,"active-path":e.activePath,scrollLockID:e.scrollLockID,"error-fetching":e.errorFetching,"render-filter-on-top":e.renderFilterOnTop,"api-changes":e.apiChanges,"allow-hiding":e.allowHiding,"navigator-references":e.navigatorReferences},on:{close:function(t){return e.$emit("close")}},scopedSlots:e._u([{key:"filter",fn:function(){return[e._t("filter")]},proxy:!0}],null,!0)},"NavigatorCard",e.technologyProps,!1)),n("div",{staticClass:"visuallyhidden",attrs:{"aria-live":"polite"}},[e._v(" "+e._s(e.$t("navigator.navigator-is",{state:e.isFetching?e.$t("navigator.state.loading"):e.$t("navigator.state.ready")}))+" ")])],1)},cl=[],dl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCard",e._b({class:{"filter-on-top":e.renderFilterOnTop},on:{close:function(t){return e.$emit("close")},"head-click-alt":e.toggleAllNodes},scopedSlots:e._u([{key:"body",fn:function(t){var i=t.className;return[e._t("post-head"),n("div",{class:i,on:{"!keydown":[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])?null:t.altKey?(t.preventDefault(),e.focusFirst.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])?null:t.altKey?(t.preventDefault(),e.focusLast.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusPrev.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusNext.apply(null,arguments))}]}},[n("DynamicScroller",{directives:[{name:"show",rawName:"v-show",value:e.hasNodes,expression:"hasNodes"}],ref:"scroller",staticClass:"scroller",attrs:{id:e.scrollLockID,"aria-label":e.$t("navigator.title"),items:e.nodesToRender,"min-item-size":e.itemSize,"emit-update":"","key-field":"uid"},on:{update:e.handleScrollerUpdate,"!keydown":[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])?null:t.altKey?(t.preventDefault(),e.focusFirst.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])?null:t.altKey?(t.preventDefault(),e.focusLast.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusPrev.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusNext.apply(null,arguments))}]},nativeOn:{focusin:function(t){return e.handleFocusIn.apply(null,arguments)},focusout:function(t){return e.handleFocusOut.apply(null,arguments)}},scopedSlots:e._u([{key:"default",fn:function(t){var i=t.item,a=t.active,s=t.index;return[n("DynamicScrollerItem",e._b({ref:"dynamicScroller_"+i.uid},"DynamicScrollerItem",{active:a,item:i,dataIndex:s},!1),[n("NavigatorCardItem",{attrs:{item:i,isRendered:a,"filter-pattern":e.filterPattern,"is-active":i.uid===e.activeUID,"is-bold":e.activePathMap[i.uid],expanded:e.openNodes[i.uid],"api-change":e.apiChangesObject[i.path],isFocused:e.focusedIndex===s,enableFocus:!e.externalFocusChange,"navigator-references":e.navigatorReferences},on:{toggle:e.toggle,"toggle-full":e.toggleFullTree,"toggle-siblings":e.toggleSiblings,navigate:e.handleNavigationChange,"focus-parent":e.focusNodeParent}})],1)]}}],null,!0)}),n("div",{staticClass:"visuallyhidden",attrs:{"aria-live":"polite"}},[e._v(" "+e._s(e.politeAriaLive)+" ")]),n("div",{staticClass:"no-items-wrapper",attrs:{"aria-live":"assertive"}},[n("p",{staticClass:"no-items"},[e._v(" "+e._s(e.$t(e.assertiveAriaLive))+" ")])])],1),e.errorFetching?e._e():n("div",{staticClass:"filter-wrapper"},[n("div",{staticClass:"navigator-filter"},[n("div",{staticClass:"input-wrapper"},[n("FilterInput",{staticClass:"filter-component",attrs:{tags:e.availableTags,translatableTags:e.translatableTags,"selected-tags":e.selectedTagsModelValue,placeholder:e.$t("filter.title"),"should-keep-open-on-blur":!1,"position-reversed":!e.renderFilterOnTop,"clear-filter-on-tag-select":!1},on:{"update:selectedTags":function(t){e.selectedTagsModelValue=t},"update:selected-tags":function(t){e.selectedTagsModelValue=t},clear:e.clearFilters},model:{value:e.filter,callback:function(t){e.filter=t},expression:"filter"}})],1),e._t("filter")],2)])]}}],null,!0)},"BaseNavigatorCard",{technology:e.technology,isTechnologyBeta:e.isTechnologyBeta,technologyPath:e.technologyPath},!1))},ul=[],hl=n("e508");function pl(e){const t=Object(nn["g"])(Object(nn["d"])(e));return new RegExp(t,"ig")}var gl,fl,ml=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCardItem",{staticClass:"navigator-card-item",class:{expanded:e.expanded,active:e.isActive,"is-group":e.isGroupMarker},style:{"--nesting-index":e.item.depth},attrs:{"data-nesting-index":e.item.depth,id:"container-"+e.item.uid,"aria-hidden":e.isRendered?null:"true",hideNavigatorIcon:e.isGroupMarker},nativeOn:{keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:(t.preventDefault(),e.handleLeftKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.handleRightKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")?null:(t.preventDefault(),e.clickReference.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])?null:t.altKey?"button"in t&&2!==t.button?null:(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]},scopedSlots:e._u([{key:"depth-spacer",fn:function(){return[n("span",{attrs:{hidden:"",id:e.usageLabel}},[e._v(" "+e._s(e.$t("filter.navigate"))+" ")]),e.isParent?n("button",{staticClass:"tree-toggle",attrs:{tabindex:"-1","aria-labelledby":e.item.uid,"aria-expanded":e.expanded?"true":"false","aria-describedby":e.ariaDescribedBy},on:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.toggleTree.apply(null,arguments))},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null},function(t){return t.metaKey?(t.preventDefault(),e.toggleSiblings.apply(null,arguments)):null}]}},[n("InlineChevronRightIcon",{staticClass:"icon-inline chevron",class:{rotate:e.expanded,animating:e.idState.isOpening}})],1):e._e()]},proxy:!0},{key:"navigator-icon",fn:function(t){var i,a=t.className;return[e.apiChange?n("span",{class:[(i={},i["changed 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"+e.usageLabel},nativeOn:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.handleClick.apply(null,arguments)},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]}},[n("HighlightMatches",{attrs:{text:e.item.title,matcher:e.filterPattern}})],1),e.isDeprecated?n("Badge",{attrs:{variant:"deprecated"}}):e.isBeta?n("Badge",{attrs:{variant:"beta"}}):e._e()]},proxy:!0}])})},yl=[],vl=n("34b0"),bl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"navigator-card-item"},[n("div",{staticClass:"head-wrapper"},[n("div",{staticClass:"depth-spacer"},[e._t("depth-spacer")],2),e.hideNavigatorIcon?e._e():n("div",{staticClass:"navigator-icon-wrapper"},[e._t("navigator-icon",null,{className:"navigator-icon"})],2),n("div",{staticClass:"title-container"},[e._t("title-container")],2)])])},Tl=[],Sl={name:"BaseNavigatorCardItem",props:{hideNavigatorIcon:{type:Boolean,default:()=>!1}}},_l=Sl,Cl=(n("b39c"),Object(K["a"])(_l,bl,Tl,!1,null,"0b9fe514",null)),kl=Cl.exports,wl={name:"HighlightMatch",props:{text:{type:String,required:!0},matcher:{type:RegExp,default:void 0}},render(e){const{matcher:t,text:n}=this;if(!t)return e("p",{class:"highlight"},n);const i=[];let a=0,s=null;const r=new RegExp(t,"gi");while(null!==(s=r.exec(n))){const t=s[0].length,r=s.index+t,o=n.slice(a,s.index);o&&i.push(e("span",o));const l=n.slice(s.index,r);l&&i.push(e("span",{class:"match"},l)),a=r}const o=n.slice(a,n.length);return o&&i.push(e("span",o)),e("p",{class:"highlight"},i)}},Il=wl,xl=(n("b831"),Object(K["a"])(Il,gl,fl,!1,null,"d75876e2",null)),$l=xl.exports,Ol={name:"NavigatorCardItem",mixins:[Object(hl["c"])({idProp:e=>e.item.uid})],components:{BaseNavigatorCardItem:kl,HighlightMatches:$l,TopicTypeIcon:_e["a"],InlineChevronRightIcon:vl["a"],Reference:To["a"],Badge:ei["a"]},props:{isRendered:{type:Boolean,default:!1},item:{type:Object,required:!0},expanded:{type:Boolean,default:!1},filterPattern:{type:RegExp,default:void 0},isActive:{type:Boolean,default:!1},isBold:{type:Boolean,default:!1},apiChange:{type:String,default:null,validator:e=>It["d"].includes(e)},isFocused:{type:Boolean,default:()=>!1},enableFocus:{type:Boolean,default:!0},navigatorReferences:{type:Object,default:()=>({})}},idState(){return{isOpening:!1}},computed:{isGroupMarker:({item:{type:e}})=>e===Ce["b"].groupMarker,isParent:({item:e,isGroupMarker:t})=>!!e.childUIDs.length&&!t,parentLabel:({item:e})=>"label-parent-"+e.uid,siblingsLabel:({item:e})=>"label-"+e.uid,usageLabel:({item:e})=>"usage-"+e.uid,ariaDescribedBy:({isParent:e,parentLabel:t,siblingsLabel:n})=>e?""+t:""+n,isBeta:({item:{beta:e}})=>!!e,isDeprecated:({item:{deprecated:e}})=>!!e,refComponent:({isGroupMarker:e})=>e?"h3":To["a"]},methods:{toggleTree(){this.idState.isOpening=!0,this.$emit("toggle",this.item)},toggleEntireTree(){this.idState.isOpening=!0,this.$emit("toggle-full",this.item)},toggleSiblings(){this.idState.isOpening=!0,this.$emit("toggle-siblings",this.item)},handleLeftKeydown(){this.expanded?this.toggleTree():this.$emit("focus-parent",this.item)},handleRightKeydown(){!this.expanded&&this.isParent&&this.toggleTree()},clickReference(){(this.$refs.reference.$el||this.$refs.reference).click()},focusReference(){(this.$refs.reference.$el||this.$refs.reference).focus()},handleClick(){this.isGroupMarker||this.$emit("navigate",this.item.uid)}},watch:{async isFocused(e){await Object(Ee["b"])(8),e&&this.isRendered&&this.enableFocus&&this.focusReference()},async expanded(){await Object(Ee["b"])(9),this.idState.isOpening=!1}}},Dl=Ol,Pl=(n("6ca9"),Object(K["a"])(Dl,ml,yl,!1,null,"0c96ff75",null)),Ll=Pl.exports,Al=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"navigator-card"},[n("div",{staticClass:"navigator-card-full-height"},[n("div",{staticClass:"navigator-card-inner"},[n("div",{staticClass:"head-wrapper"},[n("div",{staticClass:"head-inner"},[n("button",{staticClass:"close-card",class:{"hide-on-large":!e.allowHiding},attrs:{id:e.SIDEBAR_HIDE_BUTTON_ID,"aria-label":e.$t("navigator.close-navigator")},on:{click:e.handleHideClick}},[n("SidenavIcon",{staticClass:"icon-inline close-icon"})],1),n("Reference",{staticClass:"navigator-head",attrs:{id:e.INDEX_ROOT_KEY,url:e.technologyPath},nativeOn:{click:function(t){return t.altKey?(t.preventDefault(),e.$emit("head-click-alt")):null}}},[n("h2",{staticClass:"card-link"},[e._v(" "+e._s(e.technology)+" ")]),e.isTechnologyBeta?n("Badge",{attrs:{variant:"beta"}}):e._e()],1)],1)]),e._t("body",null,{className:"card-body"})],2)])])},Nl=[],El=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"sidenav-icon",attrs:{viewBox:"0 0 14 14",height:"14",themeId:"sidenav"}},[n("path",{attrs:{d:"M6.533 1.867h-6.533v10.267h14v-10.267zM0.933 11.2v-8.4h4.667v8.4zM13.067 11.2h-6.533v-8.4h6.533z"}}),n("path",{attrs:{d:"M1.867 5.133h2.8v0.933h-2.8z"}}),n("path",{attrs:{d:"M1.867 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ic={name:"NavigatorCard",constants:{STORAGE_KEY:Ul,FILTER_TAGS:Gl,FILTER_TAGS_TO_LABELS:Ql,FILTER_LABELS_TO_TAGS:Xl,TOPIC_TYPE_TO_TAG:Yl,ERROR_FETCHING:ec,ITEMS_FOUND:tc,HIDE_DEPRECATED:nc},components:{FilterInput:oo,NavigatorCardItem:Ll,DynamicScroller:hl["a"],DynamicScrollerItem:hl["b"],BaseNavigatorCard:Hl},props:{...Hl.props,children:{type:Array,required:!0},activePath:{type:Array,required:!0},type:{type:String,required:!0},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},isTechnologyBeta:{type:Boolean,default:!1},navigatorReferences:{type:Object,default:()=>{}},renderFilterOnTop:{type:Boolean,default:!1},hideAvailableTags:{type:Boolean,default:!1}},mixins:[zr],data(){return{filter:"",debouncedFilter:"",selectedTags:[],openNodes:Object.freeze({}),nodesToRender:Object.freeze([]),activeUID:null,lastFocusTarget:null,allNodesToggled:!1,translatableTags:[nc]}},computed:{politeAriaLive(){const{hasNodes:e,nodesToRender:t}=this;return e?this.$tc(tc,t.length,{number:t.length}):""},assertiveAriaLive:({hasNodes:e,hasFilter:t,errorFetching:n})=>e?"":t?Jl:n?ec:Zl,availableTags({selectedTags:e,renderableChildNodesMap:t,apiChangesObject:n,hideAvailableTags:i}){if(i||e.length)return[];const a=new Set(Object.values(n)),s=new Set(Object.values(Ql)),r=new Set([nc]);a.size&&r.delete(nc);const o={type:[],changes:[],other:[]};for(const l in t){if(!Object.hasOwnProperty.call(t,l))continue;if(!s.size&&!a.size&&!r.size)break;const{type:e,path:i,deprecated:c}=t[l],d=Ql[Yl[e]],u=n[i];s.has(d)&&(o.type.push(d),s.delete(d)),u&&a.has(u)&&(o.changes.push(this.$t(It["b"][u])),a.delete(u)),c&&r.has(nc)&&(o.other.push(nc),r.delete(nc))}return o.type.concat(o.changes,o.other)},selectedTagsModelValue:{get(){return this.selectedTags.map(e=>Ql[e]||this.$t(It["b"][e])||e)},set(e){(this.selectedTags.length||e.length)&&(this.selectedTags=e.map(e=>Xl[e]||It["a"][e]||e))}},filterPattern:({debouncedFilter:e})=>e?new RegExp(pl(e),"i"):null,itemSize:()=>qs,childrenMap({children:e}){return Vs(e)},activePathChildren({activeUID:e,childrenMap:t}){return e&&t[e]?Qs(e,t):[]},activePathMap:({activePathChildren:e})=>Object.fromEntries(e.map(({uid:e})=>[e,!0])),activeIndex:({activeUID:e,nodesToRender:t})=>t.findIndex(t=>t.uid===e),filteredChildren({hasFilter:e,children:t,filterPattern:n,selectedTags:i,apiChanges:a}){if(!e)return[];const s=new Set(i);return t.filter(({title:e,path:t,type:i,deprecated:r,deprecatedChildrenCount:o,childUIDs:l})=>{const c=r||o===l.length,d=!n||n.test(e);let u=!0;s.size&&(u=s.has(Yl[i]),a&&!u&&(u=s.has(a[t])),!c&&s.has(nc)&&(u=!0));const h=!a||!!a[t];return d&&u&&h})},renderableChildNodesMap({hasFilter:e,childrenMap:t,deprecatedHidden:n,filteredChildren:i,removeDeprecated:a}){if(!e)return t;const s=i.length-1,r=new Set([]);for(let o=s;o>=0;o-=1){const 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i=n;i>=0;i-=1){const n=e[i];t.has(l[n.parent])||t.has(n)||Qs(n.uid,l).slice(0,-1).forEach(e=>t.add(e))}c=[...t]}const d=o?{...this.openNodes}:{},u=c.reduce((e,t)=>(e[t.uid]=!0,e),d);this.setUnlessEqual("openNodes",u),this.generateNodesToRender(),this.updateFocusIndexExternally()},toggle(e){const t=this.openNodes[e.uid];let n=[],i=[];if(t){const t=Object(w["a"])(this.openNodes),n=Us(e.uid,this.childrenMap);n.forEach(({uid:e})=>{delete t[e]}),this.setUnlessEqual("openNodes",t),i=n.slice(1)}else this.setUnlessEqual("openNodes",{...this.openNodes,[e.uid]:!0}),n=Gs(e.uid,this.childrenMap,this.children).filter(e=>this.renderableChildNodesMap[e.uid]);this.augmentRenderNodes({uid:e.uid,include:n,exclude:i})},toggleFullTree(e){const t=this.openNodes[e.uid],n=Object(w["a"])(this.openNodes),i=Us(e.uid,this.childrenMap);let a=[],s=[];i.forEach(({uid:e})=>{t?delete n[e]:n[e]=!0}),t?a=i.slice(1):s=i.slice(1).filter(e=>this.renderableChildNodesMap[e.uid]),this.setUnlessEqual("openNodes",n),this.augmentRenderNodes({uid:e.uid,exclude:a,include:s})},toggleSiblings(e){const t=this.openNodes[e.uid],n=Object(w["a"])(this.openNodes),i=Xs(e.uid,this.childrenMap,this.children);i.forEach(({uid:e,childUIDs:i,type:a})=>{if(i.length&&a!==Ce["b"].groupMarker)if(t){const t=Us(e,this.childrenMap);t.forEach(e=>{delete n[e.uid]}),delete n[e],this.augmentRenderNodes({uid:e,exclude:t.slice(1),include:[]})}else{n[e]=!0;const t=Gs(e,this.childrenMap,this.children).filter(e=>this.renderableChildNodesMap[e.uid]);this.augmentRenderNodes({uid:e,exclude:[],include:t})}}),this.setUnlessEqual("openNodes",n),this.persistState()},removeDeprecated(e,t){return t?e.filter(({deprecated:e})=>!e):e},generateNodesToRender(){const{children:e,openNodes:t,renderableChildNodesMap:n}=this;this.setUnlessEqual("nodesToRender",e.filter(e=>n[e.uid]&&(e.parent===Ks||t[e.parent]))),this.persistState(),this.scrollToElement()},augmentRenderNodes({uid:e,include:t=[],exclude:n=[]}){const i=this.nodesToRender.findIndex(t=>t.uid===e);if(t.length){const e=t.filter(e=>!this.nodesToRender.includes(e)),n=this.nodesToRender.slice(0);n.splice(i+1,0,...e),this.setUnlessEqual("nodesToRender",n)}else if(n.length){const e=new Set(n);this.setUnlessEqual("nodesToRender",this.nodesToRender.filter(t=>!e.has(t)))}this.persistState()},getFromStorage(e,t=null){const n=Fo["b"].get(Ul,{}),i=n[this.technologyPath];return i?e?i[e]||t:i:t},persistState(){const e={path:this.lastActivePathItem},{path:t}=this.activeUID&&this.childrenMap[this.activeUID]||e,n={technology:this.technology,path:t,hasApiChanges:!!this.apiChanges,openNodes:Object.keys(this.openNodes).map(Number),nodesToRender:this.nodesToRender.map(({uid:e})=>e),activeUID:this.activeUID,filter:this.filter,selectedTags:this.selectedTags},i={...Fo["b"].get(Ul,{}),[this.technologyPath]:n};Fo["b"].set(Ul,i)},clearPersistedState(){const e={...Fo["b"].get(Ul,{}),[this.technologyPath]:{}};Fo["b"].set(Ul,e)},restorePersistedState(){const e=this.getFromStorage();if(!e||e.path!==this.lastActivePathItem)return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);const{technology:t,nodesToRender:n=[],filter:i="",hasAPIChanges:a=!1,activeUID:s=null,selectedTags:r=[],openNodes:o}=e;if(!n.length&&!i&&!r.length)return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);const{childrenMap:l}=this,c=n.every(e=>l[e]),d=s?(this.childrenMap[s]||{}).path===this.lastActivePathItem:1===this.activePath.length;if(t!==this.technology||!c||a!==Boolean(this.apiChanges)||!d||s&&!i&&!r.length&&!n.includes(s))return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);this.setUnlessEqual("openNodes",Object.fromEntries(o.map(e=>[e,!0]))),this.setUnlessEqual("nodesToRender",n.map(e=>l[e])),this.selectedTags=r,this.filter=i,this.debouncedFilter=this.filter,this.activeUID=s,this.scrollToElement()},async scrollToElement(){if(await Object(Ee["b"])(1),!this.$refs.scroller)return;if(this.hasFilter&&!this.deprecatedHidden)return void this.$refs.scroller.scrollToItem(0);const e=document.getElementById(this.activeUID);if(e&&0===this.getChildPositionInScroller(e))return;const t=this.nodesToRender.findIndex(e=>e.uid===this.activeUID);-1!==t&&this.$refs.scroller.scrollToItem(t)},getChildPositionInScroller(e){if(!e)return 0;const{paddingTop:t,paddingBottom:n}=getComputedStyle(this.$refs.scroller.$el),i={top:parseInt(t,10)||0,bottom:parseInt(n,10)||0},{y:a,height:s}=this.$refs.scroller.$el.getBoundingClientRect(),{y:r}=e.getBoundingClientRect(),o=e.offsetParent.offsetHeight,l=r-a-i.top;return l<0?-1:l+o>=s-i.bottom?1:0},isInsideScroller(e){return this.$refs.scroller.$el.contains(e)},handleFocusIn({target:e}){this.lastFocusTarget=e;const t=this.getChildPositionInScroller(e);if(0===t)return;const{offsetHeight:n}=e.offsetParent;this.$refs.scroller.$el.scrollBy({top:n*t,left:0})},handleFocusOut(e){e.relatedTarget&&(this.isInsideScroller(e.relatedTarget)||(this.lastFocusTarget=null))},handleScrollerUpdate:Ir((async function(){await Object(Ee["a"])(300),this.lastFocusTarget&&this.isInsideScroller(this.lastFocusTarget)&&document.activeElement!==this.lastFocusTarget&&this.lastFocusTarget.focus({preventScroll:!0})}),50),setActiveUID(e){this.activeUID=e},handleNavigationChange(e){this.childrenMap[e].path.startsWith(this.technologyPath)&&this.setActiveUID(e)},pathsToFlatChildren(e){const t=e.slice(0).reverse(),{childrenMap:n}=this;let i=this.children;const a=[];while(t.length){const e=t.pop(),s=i.find(t=>t.path===e);if(!s)break;a.push(s),t.length&&(i=s.childUIDs.map(e=>n[e]))}return a},handleActivePathChange(e){const t=this.childrenMap[this.activeUID],n=Vl(e);if(t){if(n===t.path)return;const e=Xs(this.activeUID,this.childrenMap,this.children),i=Gs(this.activeUID,this.childrenMap,this.children),a=Qs(this.activeUID,this.childrenMap),s=[...i,...e,...a].find(e=>e.path===n);if(s)return void this.setActiveUID(s.uid)}const i=this.pathsToFlatChildren(e);i.length?this.setActiveUID(i[i.length-1].uid):this.activeUID?this.setActiveUID(null):this.trackOpenNodes(this.nodeChangeDeps)},updateFocusIndexExternally(){this.externalFocusChange=!0,this.activeIndex>0?this.focusIndex(this.activeIndex):this.focusIndex(0)},focusNodeParent(e){const t=this.childrenMap[e.parent];if(!t)return;const n=this.nodesToRender.findIndex(e=>e.uid===t.uid);-1!==n&&this.focusIndex(n)}}},ac=ic,sc=(n("8e4d"),Object(K["a"])(ac,dl,ul,!1,null,"1543892a",null)),rc=sc.exports,oc=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCard",e._b({on:{close:function(t){return e.$emit("close")}},scopedSlots:e._u([{key:"body",fn:function(t){var i=t.className;return[n("transition",{attrs:{name:"delay-visibility"}},[n("div",{staticClass:"loading-navigator",class:i,attrs:{"aria-hidden":"true"}},e._l(e.LOADER_ROWS,(function(e,t){return n("LoadingNavigatorItem",{key:t,attrs:{index:t,width:e.width,hideNavigatorIcon:e.hideNavigatorIcon}})})),1)])]}}])},"BaseNavigatorCard",e.$props,!1))},lc=[],cc=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCardItem",{staticClass:"loading-navigator-item",style:"--index: "+e.index+";",attrs:{hideNavigatorIcon:e.hideNavigatorIcon},scopedSlots:e._u([{key:"navigator-icon",fn:function(e){var t=e.className;return[n("div",{class:t})]}},{key:"title-container",fn:function(){return[n("div",{staticClass:"loader",style:{width:e.width}})]},proxy:!0}])})},dc=[],uc={name:"LoadingNavigatorItem",components:{BaseNavigatorCardItem:kl},props:{...kl.props,index:{type:Number,default:0},width:{type:String,default:"50%"}}},hc=uc,pc=(n("d1b4"),Object(K["a"])(hc,cc,dc,!1,null,"0de29914",null)),gc=pc.exports;const fc=[{width:"30%",hideNavigatorIcon:!0},{width:"80%"},{width:"50%"}];var mc={name:"LoadingNavigatorCard",components:{BaseNavigatorCard:Hl,LoadingNavigatorItem:gc},props:{...Hl.props},data(){return{LOADER_ROWS:fc}}},yc=mc,vc=(n("115d"),Object(K["a"])(yc,oc,lc,!1,null,"4b6d345f",null)),bc=vc.exports,Tc={name:"Navigator",components:{NavigatorCard:rc,LoadingNavigatorCard:bc},data(){return{INDEX_ROOT_KEY:Ks}},props:{flatChildren:{type:Array,required:!0},parentTopicIdentifiers:{type:Array,required:!0},technology:{type:Object,required:!0},isFetching:{type:Boolean,default:!1},references:{type:Object,default:()=>{}},navigatorReferences:{type:Object,default:()=>{}},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},renderFilterOnTop:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},allowHiding:{type:Boolean,default:!0}},computed:{parentTopicReferences({references:e,parentTopicIdentifiers:t}){return t.reduce((t,n)=>{const i=e[n];return i?t.concat(i):(console.error(`Reference for "${n}" is missing`),t)},[])},activePath({parentTopicReferences:e,$route:{path:t}}){if(t=t.replace(/\/$/,"").toLowerCase(),!e.length)return[t];let n=1;return"technologies"===e[0].kind&&(n=2),e.slice(n).map(e=>e.url).concat(t)},type:()=>Ce["b"].module,technologyProps:({technology:e})=>({technology:e.title,technologyPath:e.path||e.url,isTechnologyBeta:e.beta})}},Sc=Tc,_c=(n("9c7e"),Object(K["a"])(Sc,ll,cl,!1,null,"159b9764",null)),Cc=_c.exports,kc=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("NavBase",{staticClass:"documentation-nav",attrs:{breakpoint:e.BreakpointName.medium,hasOverlay:!1,hasSolidBackground:"",hasNoBorder:e.hasNoBorder,isDark:e.isDark,isWideFormat:"",hasFullWidthBorder:"","aria-label":e.$t("api-reference")},scopedSlots:e._u([e.displaySidenav?{key:"pre-title",fn:function(t){var i=t.closeNav,a=t.isOpen,s=t.currentBreakpoint,r=t.className;return[n("div",{class:r},[n("transition",{attrs:{name:"sidenav-toggle"}},[n("div",{directives:[{name:"show",rawName:"v-show",value:e.sidenavHiddenOnLarge,expression:"sidenavHiddenOnLarge"}],staticClass:"sidenav-toggle-wrapper"},[n("button",{staticClass:"sidenav-toggle",attrs:{"aria-label":e.$t("navigator.open-navigator"),id:e.baseNavOpenSidenavButtonId,tabindex:a?-1:null},on:{click:function(t){return t.preventDefault(),e.handleSidenavToggle(i,s)}}},[n("span",{staticClass:"sidenav-icon-wrapper"},[n("SidenavIcon",{staticClass:"icon-inline sidenav-icon"})],1)]),n("span",{staticClass:"sidenav-toggle__separator"})])])],1)]}}:null,{key:"tray",fn:function(t){var i=t.closeNav;return[n("Hierarchy",{attrs:{currentTopicTitle:e.title,isSymbolDeprecated:e.isSymbolDeprecated,isSymbolBeta:e.isSymbolBeta,parentTopicIdentifiers:e.hierarchyItems,currentTopicTags:e.currentTopicTags,references:e.references}}),n("NavMenuItems",{staticClass:"nav-menu-settings",attrs:{previousSiblingChildren:e.breadcrumbCount}},[e.interfaceLanguage&&(e.swiftPath||e.objcPath)?n("LanguageToggle",{attrs:{interfaceLanguage:e.interfaceLanguage,objcPath:e.objcPath,swiftPath:e.swiftPath,closeNav:i}}):e._e(),e._t("menu-items")],2),e._t("tray-after",null,null,{breadcrumbCount:e.breadcrumbCount})]}}],null,!0)},[n("template",{slot:"default"},[e._t("title",(function(){return[e.rootLink?n("router-link",{staticClass:"nav-title-link",attrs:{to:e.rootLink}},[e._v(" "+e._s(e.$t("documentation.title"))+" ")]):n("span",{staticClass:"nav-title-link inactive"},[e._v(e._s(e.$t("documentation.title")))])]}),null,{rootLink:e.rootLink,linkClass:"nav-title-link",inactiveClass:"inactive"})],2),n("template",{slot:"after-content"},[e._t("after-content")],2)],2)},wc=[],Ic=n("cbcf"),xc=n("9b30"),$c=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("NavMenuItems",{staticClass:"hierarchy",class:{"has-badge":e.hasBadge},attrs:{"aria-label":e.$t("documentation.nav.breadcrumbs")}},[e.root?n("HierarchyItem",{key:e.root.title,staticClass:"root-hierarchy",attrs:{url:e.addQueryParamsToUrl(e.root.url)}},[e._v(" "+e._s(e.root.title)+" ")]):e._e(),e._l(e.collapsibleItems,(function(t){return n("HierarchyItem",{key:t.title,attrs:{isCollapsed:"",url:e.addQueryParamsToUrl(t.url)}},[e._v(" "+e._s(t.title)+" ")])})),e.collapsibleItems.length?n("HierarchyCollapsedItems",{attrs:{topics:e.collapsibleItems}}):e._e(),e._l(e.nonCollapsibleItems,(function(t){return n("HierarchyItem",{key:t.title,attrs:{url:e.addQueryParamsToUrl(t.url)}},[e._v(" "+e._s(t.title)+" ")])})),n("HierarchyItem",[e._v(" "+e._s(e.currentTopicTitle)+" "),n("template",{slot:"tags"},[e.isSymbolDeprecated?n("Badge",{attrs:{variant:"deprecated"}}):e.isSymbolBeta?n("Badge",{attrs:{variant:"beta"}}):e._e(),e._l(e.currentTopicTags,(function(t){return n("Badge",{key:t.type+"-"+t.text,attrs:{variant:t.type}},[e._v(" "+e._s(t.text)+" ")])}))],2)],2)],2)},Oc=[],Dc=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("li",{staticClass:"hierarchy-collapsed-items"},[n("span",{staticClass:"hierarchy-item-icon icon-inline"},[e._v("/")]),n("button",{ref:"btn",staticClass:"toggle",class:{focused:!e.collapsed},on:{click:e.toggleCollapsed}},[n("span",{staticClass:"indicator"},[n("EllipsisIcon",{staticClass:"icon-inline toggle-icon"})],1)]),n("ul",{ref:"dropdown",staticClass:"dropdown",class:{collapsed:e.collapsed}},e._l(e.topicsWithUrls,(function(t){return n("li",{key:t.title,staticClass:"dropdown-item"},[n("router-link",{staticClass:"nav-menu-link",attrs:{to:t.url}},[e._v(e._s(t.title))])],1)})),0)])},Pc=[],Lc=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"ellipsis-icon",attrs:{viewBox:"0 0 14 14",themeId:"ellipsis"}},[n("path",{attrs:{d:"m12.439 7.777v-1.554h-1.554v1.554zm-4.662 0v-1.554h-1.554v1.554zm-4.662 0v-1.554h-1.554v1.554z"}})])},Ac=[],Nc={name:"EllipsisIcon",components:{SVGIcon:fr["a"]}},Ec=Nc,jc=Object(K["a"])(Ec,Lc,Ac,!1,null,null,null),Bc=jc.exports,Rc={name:"HierarchyCollapsedItems",components:{EllipsisIcon:Bc},data:()=>({collapsed:!0}),props:{topics:{type:Array,required:!0}},watch:{collapsed(e,t){t&&!e?document.addEventListener("click",this.handleDocumentClick,!1):!t&&e&&document.removeEventListener("click",this.handleDocumentClick,!1)}},beforeDestroy(){document.removeEventListener("click",this.handleDocumentClick,!1)},computed:{topicsWithUrls:({$route:e,topics:t})=>t.map(t=>({...t,url:Object(P["b"])(t.url,e.query)}))},methods:{handleDocumentClick(e){const{target:t}=e,{collapsed:n,$refs:{btn:i,dropdown:a}}=this,s=!i.contains(t)&&!a.contains(t);!n&&s&&(this.collapsed=!0)},toggleCollapsed(){this.collapsed=!this.collapsed}}},Mc=Rc,zc=(n("2ca2"),Object(K["a"])(Mc,Dc,Pc,!1,null,"74906830",null)),Kc=zc.exports,qc=function(e,t){var n=t._c;return n(t.$options.components.NavMenuItemBase,{tag:"component",staticClass:"hierarchy-item",class:[{collapsed:t.props.isCollapsed},t.data.staticClass]},[n("span",{staticClass:"hierarchy-item-icon icon-inline"},[t._v("/")]),t.props.url?n("router-link",{staticClass:"parent item nav-menu-link",attrs:{to:t.props.url}},[t._t("default")],2):[n("span",{staticClass:"current item"},[t._t("default")],2),t._t("tags")]],2)},Fc=[],Hc=n("863d"),Vc={name:"HierarchyItem",components:{NavMenuItemBase:Hc["a"],InlineChevronRightIcon:vl["a"]},props:{isCollapsed:Boolean,url:{type:String,required:!1}}},Wc=Vc,Uc=(n("260a"),Object(K["a"])(Wc,qc,Fc,!0,null,"382bf39e",null)),Gc=Uc.exports;const Qc=3;var Xc={name:"Hierarchy",components:{Badge:ei["a"],NavMenuItems:xc["a"],HierarchyCollapsedItems:Kc,HierarchyItem:Gc},constants:{MaxVisibleLinks:Qc},inject:["store"],props:{isSymbolDeprecated:Boolean,isSymbolBeta:Boolean,references:Object,currentTopicTitle:{type:String,required:!0},parentTopicIdentifiers:{type:Array,default:()=>[]},currentTopicTags:{type:Array,default:()=>[]}},computed:{windowWidth:({store:e})=>e.state.contentWidth,parentTopics(){return this.parentTopicIdentifiers.reduce((e,t)=>{const n=this.references[t];if(n){const{title:t,url:i}=n;return e.concat({title:t,url:i})}return console.error(`Reference for "${t}" is missing`),e},[])},root:({parentTopics:e,windowWidth:t})=>t<=1e3?null:e[0],firstItemSlice:({root:e})=>e?1:0,linksAfterCollapse:({windowWidth:e,hasBadge:t})=>{const n=t?1:0;return e>1200?Qc-n:e>1e3?Qc-1-n:e>=800?Qc-2-n:0},collapsibleItems:({parentTopics:e,linksAfterCollapse:t,firstItemSlice:n})=>t?e.slice(n,-t):e.slice(n),nonCollapsibleItems:({parentTopics:e,linksAfterCollapse:t,firstItemSlice:n})=>t?e.slice(n).slice(-t):[],hasBadge:({isSymbolDeprecated:e,isSymbolBeta:t,currentTopicTags:n})=>e||t||n.length},methods:{addQueryParamsToUrl(e){return Object(P["b"])(e,this.$route.query)}}},Yc=Xc,Jc=(n("5208"),Object(K["a"])(Yc,$c,Oc,!1,null,"c2bd6086",null)),Zc=Jc.exports,ed=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("NavMenuItemBase",{staticClass:"nav-menu-setting language-container"},[n("div",{class:{"language-toggle-container":e.hasLanguages}},[n("select",{ref:"language-sizer",staticClass:"language-dropdown language-sizer",attrs:{"aria-hidden":"true",tabindex:"-1"}},[n("option",{key:e.currentLanguage.name,attrs:{selected:""}},[e._v(e._s(e.currentLanguage.name))])]),n("label",{staticClass:"nav-menu-setting-label",attrs:{for:e.hasLanguages?"language-toggle":null}},[e._v(e._s(e.$t("formats.colon",{content:e.$t("language")})))]),e.hasLanguages?n("select",{directives:[{name:"model",rawName:"v-model",value:e.languageModel,expression:"languageModel"}],staticClass:"language-dropdown nav-menu-link",style:"width: "+e.adjustedWidth+"px",attrs:{id:"language-toggle"},on:{change:[function(t){var n=Array.prototype.filter.call(t.target.options,(function(e){return e.selected})).map((function(e){var t="_value"in e?e._value:e.value;return t}));e.languageModel=t.target.multiple?n:n[0]},function(t){return e.pushRoute(e.currentLanguage.route)}]}},e._l(e.languages,(function(t){return n("option",{key:t.api,domProps:{value:t.api}},[e._v(" "+e._s(t.name)+" ")])})),0):n("span",{staticClass:"nav-menu-toggle-none current-language",attrs:{"aria-current":"page"}},[e._v(e._s(e.currentLanguage.name))]),e.hasLanguages?n("InlineChevronDownIcon",{staticClass:"toggle-icon icon-inline"}):e._e()],1),e.hasLanguages?n("div",{staticClass:"language-list-container"},[n("span",{staticClass:"nav-menu-setting-label"},[e._v(e._s(e.$t("formats.colon",{content:e.$t("language")})))]),n("ul",{staticClass:"language-list"},e._l(e.languages,(function(t){return n("li",{key:t.api,staticClass:"language-list-item"},[t.api===e.languageModel?n("span",{staticClass:"current-language",attrs:{"data-language":t.api,"aria-current":"page"}},[e._v(" "+e._s(t.name)+" ")]):n("a",{staticClass:"nav-menu-link",attrs:{href:"#"},on:{click:function(n){return n.preventDefault(),e.pushRoute(t.route)}}},[e._v(" "+e._s(t.name)+" ")])])})),0)]):e._e()])},td=[],nd=n("7948"),id={name:"LanguageToggle",components:{InlineChevronDownIcon:nd["a"],NavMenuItemBase:Hc["a"]},inject:{store:{default(){return{setPreferredLanguage(){}}}}},props:{interfaceLanguage:{type:String,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},closeNav:{type:Function,default:()=>{}}},data(){return{languageModel:null,adjustedWidth:0}},mounted(){const e=Ne(async()=>{await Object(Ee["b"])(3),this.calculateSelectWidth()},150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)})},watch:{interfaceLanguage:{immediate:!0,handler(e){this.languageModel=e}},currentLanguage:{immediate:!0,handler:"calculateSelectWidth"}},methods:{getRoute(e){const t=e.query===O["a"].swift.key.url?void 0:e.query;return{query:{...this.$route.query,language:t},path:this.isCurrentPath(e.path)?null:Object(L["d"])(e.path)}},async pushRoute(e){await this.closeNav(),this.store.setPreferredLanguage(e.query),this.$router.push(this.getRoute(e))},isCurrentPath(e){return this.$route.path.replace(/^\//,"")===e},async calculateSelectWidth(){await this.$nextTick(),this.adjustedWidth=this.$refs["language-sizer"].clientWidth+6}},computed:{languages(){return[{name:O["a"].swift.name,api:O["a"].swift.key.api,route:{path:this.swiftPath,query:O["a"].swift.key.url}},{name:O["a"].objectiveC.name,api:O["a"].objectiveC.key.api,route:{path:this.objcPath,query:O["a"].objectiveC.key.url}}]},currentLanguage:({languages:e,languageModel:t})=>e.find(e=>e.api===t),hasLanguages:({objcPath:e,swiftPath:t})=>t&&e}},ad=id,sd=(n("b857"),Object(K["a"])(ad,ed,td,!1,null,"d12167e0",null)),rd=sd.exports,od={name:"DocumentationNav",components:{SidenavIcon:zl,NavBase:Ic["a"],NavMenuItems:xc["a"],Hierarchy:Zc,LanguageToggle:rd},props:{title:{type:String,required:!1},parentTopicIdentifiers:{type:Array,required:!1},isSymbolBeta:{type:Boolean,required:!1},isSymbolDeprecated:{type:Boolean,required:!1},isDark:{type:Boolean,default:!1},hasNoBorder:{type:Boolean,default:!1},currentTopicTags:{type:Array,required:!0},references:{type:Object,default:()=>({})},interfaceLanguage:{type:String,required:!1},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},sidenavHiddenOnLarge:{type:Boolean,default:!1},displaySidenav:{type:Boolean,default:!1}},computed:{baseNavOpenSidenavButtonId:()=>Go["d"],BreakpointName:()=>Vo["b"],breadcrumbCount:({hierarchyItems:e})=>e.length+1,rootHierarchyReference:({parentTopicIdentifiers:e,references:t})=>t[e[0]]||{},isRootTechnologyLink:({rootHierarchyReference:{kind:e}})=>"technologies"===e,rootLink:({isRootTechnologyLink:e,rootHierarchyReference:t,$route:n})=>e?{path:t.url,query:n.query}:null,hierarchyItems:({parentTopicIdentifiers:e,isRootTechnologyLink:t})=>t?e.slice(1):e},methods:{async handleSidenavToggle(e,t){await e(),this.$emit("toggle-sidenav",t),await this.$nextTick();const n=document.getElementById(Fs);n&&n.focus()}}},ld=od,cd=(n("c61f"),Object(K["a"])(ld,kc,wc,!1,null,"138d523a",null)),dd=cd.exports,ud=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"StaticContentWidth"},[e._t("default")],2)},hd=[],pd={name:"StaticContentWidth",inject:["store"],mounted(){const e=Ne(async()=>{await this.$nextTick(),this.store.setContentWidth(this.$el.offsetWidth)},150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)}),e()}},gd=pd,fd=Object(K["a"])(gd,ud,hd,!1,null,null,null),md=fd.exports,yd=n("3bdd"),vd=n("4009");const bd="symbol";var Td={watch:{topicData:{immediate:!0,handler:"extractOnThisPageSections"}},methods:{shouldRegisterContentSection(e){return e.type===_n["BlockType"].heading&&e.level<4},extractOnThisPageSections(e){if(!e)return;this.store.resetPageSections();const{metadata:{title:t},primaryContentSections:n,topicSections:i,defaultImplementationsSections:a,relationshipsSections:s,seeAlsoSections:r,kind:o}=e;this.store.addOnThisPageSection({title:t,anchor:vd["a"],level:1,isSymbol:o===bd},{i18n:!1}),n&&n.forEach(e=>{switch(e.kind){case Ke.content:At["a"].methods.forEach.call(e,e=>{this.shouldRegisterContentSection(e)&&this.store.addOnThisPageSection({title:e.text,anchor:e.anchor||Object(nn["a"])(e.text),level:e.level},{i18n:!1})});break;case Ke.properties:case Ke.restBody:case Ke.restCookies:case Ke.restEndpoint:case Ke.restHeaders:case Ke.restParameters:case Ke.restResponses:this.store.addOnThisPageSection({title:e.title,anchor:Object(nn["a"])(e.title),level:2});break;default:qt[e.kind]&&this.store.addOnThisPageSection(qt[e.kind])}}),i&&this.store.addOnThisPageSection(Kt.topics),a&&this.store.addOnThisPageSection(Kt.defaultImplementations),s&&this.store.addOnThisPageSection(Kt.relationships),r&&this.store.addOnThisPageSection(Kt.seeAlso)}}},Sd=n("9b56");const _d="0.3.0",Cd="navigator-hidden-large",{extractProps:kd}=Is.methods;var 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(window.jazzy.docset) { + return; + } + var $link = $(this); + toggleItem($link, itemLinkToContent($link)); + + // Keeps the document from jumping to the hash. + var href = $link.attr('href'); + if (history.pushState) { + history.pushState({}, '', href); + } else { + location.hash = href; + } + event.preventDefault(); +}); + +// Clicks on links to the current, closed, item need to open the item +$("a:not('.token')").on('click', function() { + if (location == this.href) { + openCurrentItemIfClosed(); + } +}); + +// KaTeX rendering +if ("katex" in window) { + $($('.math').each( (_, element) => { + katex.render(element.textContent, element, { + displayMode: $(element).hasClass('m-block'), + throwOnError: false, + trust: true + }); + })) +} diff --git a/docs/js/jazzy.search.js b/docs/js/jazzy.search.js new file mode 100644 index 0000000..359cdbb --- /dev/null +++ b/docs/js/jazzy.search.js @@ -0,0 +1,74 @@ +// Jazzy - https://github.com/realm/jazzy +// Copyright Realm Inc. +// SPDX-License-Identifier: MIT + +$(function(){ + var $typeahead = $('[data-typeahead]'); + var $form = $typeahead.parents('form'); + var searchURL = $form.attr('action'); + + function displayTemplate(result) { + return result.name; + } + + function suggestionTemplate(result) { + var t = '
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return !str || /^\s*$/.test(str); + }, + escapeRegExChars: function(str) { + return str.replace(/[\-\[\]\/\{\}\(\)\*\+\?\.\\\^\$\|]/g, "\\$&"); + }, + isString: function(obj) { + return typeof obj === "string"; + }, + isNumber: function(obj) { + return typeof obj === "number"; + }, + isArray: $.isArray, + isFunction: $.isFunction, + isObject: $.isPlainObject, + isUndefined: function(obj) { + return typeof obj === "undefined"; + }, + isElement: function(obj) { + return !!(obj && obj.nodeType === 1); + }, + isJQuery: function(obj) { + return obj instanceof $; + }, + toStr: function toStr(s) { + return _.isUndefined(s) || s === null ? "" : s + ""; + }, + bind: $.proxy, + each: function(collection, cb) { + $.each(collection, reverseArgs); + function reverseArgs(index, value) { + return cb(value, index); + } + }, + map: $.map, + filter: $.grep, + every: function(obj, test) { + var result = true; + if (!obj) { + return result; + } + $.each(obj, function(key, val) { + if (!(result = test.call(null, val, key, obj))) { + return false; + } + }); + return !!result; + }, + some: function(obj, test) { + var result = false; + if (!obj) { + return result; + } + $.each(obj, function(key, val) { + if (result = test.call(null, val, key, obj)) { + return false; + } + }); + return !!result; + }, + mixin: $.extend, + identity: function(x) { + return x; + }, + clone: function(obj) { + return $.extend(true, {}, obj); + }, + getIdGenerator: function() { + var counter = 0; + return function() { + return counter++; + }; + }, + templatify: function templatify(obj) { + return $.isFunction(obj) ? obj : template; + function template() { + return String(obj); + } + }, + defer: function(fn) { + setTimeout(fn, 0); + }, + debounce: function(func, wait, immediate) { + var timeout, result; + return function() { + var context = this, args = arguments, later, callNow; + later = function() { + timeout = null; + if (!immediate) { + result = func.apply(context, args); + } + }; + callNow = immediate && !timeout; + clearTimeout(timeout); + timeout = setTimeout(later, wait); + if (callNow) { + result = func.apply(context, args); + } + return result; + }; + }, + throttle: function(func, wait) { + var context, args, timeout, result, previous, later; + previous = 0; + later = function() { + previous = new Date(); + timeout = null; + result = func.apply(context, args); + }; + return function() { + var now = new Date(), remaining = wait - (now - previous); + context = this; + args = arguments; + if (remaining <= 0) { + clearTimeout(timeout); + timeout = null; + previous = now; + result = func.apply(context, args); + } else if (!timeout) { + timeout = setTimeout(later, remaining); + } + return result; + }; + }, + stringify: function(val) { + return _.isString(val) ? val : JSON.stringify(val); + }, + guid: function() { + function _p8(s) { + var p = (Math.random().toString(16) + "000000000").substr(2, 8); + return s ? "-" + p.substr(0, 4) + "-" + p.substr(4, 4) : p; + } + return "tt-" + _p8() + _p8(true) + _p8(true) + _p8(); + }, + noop: function() {} + }; + }(); + var WWW = function() { + "use strict"; + var defaultClassNames = { + wrapper: "twitter-typeahead", + input: "tt-input", + hint: "tt-hint", + menu: "tt-menu", + dataset: "tt-dataset", + suggestion: "tt-suggestion", + selectable: "tt-selectable", + empty: "tt-empty", + open: "tt-open", + cursor: "tt-cursor", + highlight: "tt-highlight" + }; + return build; + function build(o) { + var www, classes; + classes = _.mixin({}, defaultClassNames, o); + www = { + css: buildCss(), + classes: classes, + html: buildHtml(classes), + selectors: buildSelectors(classes) + }; + return { + css: www.css, + html: www.html, + classes: www.classes, + selectors: www.selectors, + mixin: function(o) { + _.mixin(o, www); + } + }; + } + function buildHtml(c) { + return { + wrapper: '', + menu: '
' + }; + } + function buildSelectors(classes) { + var selectors = {}; + _.each(classes, function(v, k) { + selectors[k] = "." + v; + }); + return selectors; + } + function buildCss() { + var css = { + wrapper: { + position: "relative", + display: "inline-block" + }, + hint: { + position: "absolute", + top: "0", + left: "0", + borderColor: "transparent", + boxShadow: "none", + opacity: "1" + }, + input: { + position: "relative", + verticalAlign: "top", + backgroundColor: "transparent" + }, + inputWithNoHint: { + position: "relative", + verticalAlign: "top" + }, + menu: { + position: "absolute", + top: "100%", + left: "0", + zIndex: "100", + display: "none" + }, + ltr: { + left: "0", + right: "auto" + }, + rtl: { + left: "auto", + right: " 0" + } + }; + if (_.isMsie()) { + _.mixin(css.input, { + backgroundImage: "url(data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)" + }); + } + return css; + } + }(); + var EventBus = function() { + "use strict"; + var namespace, deprecationMap; + namespace = "typeahead:"; + deprecationMap = { + render: "rendered", + cursorchange: "cursorchanged", + select: "selected", + autocomplete: "autocompleted" + }; + function EventBus(o) { + if (!o || !o.el) { + $.error("EventBus initialized without el"); + } + this.$el = $(o.el); + } + _.mixin(EventBus.prototype, { + _trigger: function(type, args) { + var $e = $.Event(namespace + type); + this.$el.trigger.call(this.$el, $e, args || []); + return $e; + }, + before: function(type) { + var args, $e; + args = [].slice.call(arguments, 1); + $e = this._trigger("before" + type, args); + return $e.isDefaultPrevented(); + }, + trigger: function(type) { + var deprecatedType; + this._trigger(type, [].slice.call(arguments, 1)); + if (deprecatedType = deprecationMap[type]) { + this._trigger(deprecatedType, [].slice.call(arguments, 1)); + } + } + }); + return EventBus; + }(); + var EventEmitter = function() { + "use strict"; + var splitter = /\s+/, nextTick = getNextTick(); + return { + onSync: onSync, + onAsync: onAsync, + off: off, + trigger: trigger + }; + function on(method, types, cb, context) { + var type; + if (!cb) { + return this; + } + types = types.split(splitter); + cb = context ? bindContext(cb, context) : cb; + this._callbacks = this._callbacks || {}; + while (type = types.shift()) { + this._callbacks[type] = this._callbacks[type] || { + sync: [], + async: [] + }; + this._callbacks[type][method].push(cb); + } + return this; + } + function onAsync(types, cb, context) { + return on.call(this, "async", types, cb, context); + } + function onSync(types, cb, context) { + return on.call(this, "sync", types, cb, context); + } + function off(types) { + var type; + if (!this._callbacks) { + return this; + } + types = types.split(splitter); + while (type = types.shift()) { + delete this._callbacks[type]; + } + return this; + } + function trigger(types) { + var type, callbacks, args, syncFlush, asyncFlush; + if (!this._callbacks) { + return this; + } + types = types.split(splitter); + args = [].slice.call(arguments, 1); + while ((type = types.shift()) && (callbacks = this._callbacks[type])) { + syncFlush = getFlush(callbacks.sync, this, [ type ].concat(args)); + asyncFlush = getFlush(callbacks.async, this, [ type ].concat(args)); + syncFlush() && nextTick(asyncFlush); + } + return this; + } + function getFlush(callbacks, context, args) { + return flush; + function flush() { + var cancelled; + for (var i = 0, len = callbacks.length; !cancelled && i < len; i += 1) { + cancelled = callbacks[i].apply(context, args) === false; + } + return !cancelled; + } + } + function getNextTick() { + var nextTickFn; + if (window.setImmediate) { + nextTickFn = function nextTickSetImmediate(fn) { + setImmediate(function() { + fn(); + }); + }; + } else { + nextTickFn = function nextTickSetTimeout(fn) { + setTimeout(function() { + fn(); + }, 0); + }; + } + return nextTickFn; + } + function bindContext(fn, context) { + return fn.bind ? fn.bind(context) : function() { + fn.apply(context, [].slice.call(arguments, 0)); + }; + } + }(); + var highlight = function(doc) { + "use strict"; + var defaults = { + node: null, + pattern: null, + tagName: "strong", + className: null, + wordsOnly: false, + caseSensitive: false, + diacriticInsensitive: false + }; + var accented = { + A: "[AaªÀ-Åà-åĀ-ąǍǎȀ-ȃȦȧᴬᵃḀḁẚẠ-ảₐ℀℁℻⒜Ⓐⓐ㍱-㍴㎀-㎄㎈㎉㎩-㎯㏂㏊㏟㏿Ａａ]", + B: "[BbᴮᵇḂ-ḇℬ⒝Ⓑⓑ㍴㎅-㎇㏃㏈㏔㏝Ｂｂ]", + C: "[CcÇçĆ-čᶜ℀ℂ℃℅℆ℭⅭⅽ⒞Ⓒⓒ㍶㎈㎉㎝㎠㎤㏄-㏇Ｃｃ]", + D: "[DdĎďDŽ-džDZ-dzᴰᵈḊ-ḓⅅⅆⅮⅾ⒟Ⓓⓓ㋏㍲㍷-㍹㎗㎭-㎯㏅㏈Ｄｄ]", + E: "[EeÈ-Ëè-ëĒ-ěȄ-ȇȨȩᴱᵉḘ-ḛẸ-ẽₑ℡ℯℰⅇ⒠Ⓔⓔ㉐㋍㋎Ｅｅ]", + F: "[FfᶠḞḟ℉ℱ℻⒡Ⓕⓕ㎊-㎌㎙ff-fflＦｆ]", + G: "[GgĜ-ģǦǧǴǵᴳᵍḠḡℊ⒢Ⓖⓖ㋌㋍㎇㎍-㎏㎓㎬㏆㏉㏒㏿Ｇｇ]", + H: "[HhĤĥȞȟʰᴴḢ-ḫẖℋ-ℎ⒣Ⓗⓗ㋌㍱㎐-㎔㏊㏋㏗Ｈｈ]", + I: "[IiÌ-Ïì-ïĨ-İIJijǏǐȈ-ȋᴵᵢḬḭỈ-ịⁱℐℑℹⅈⅠ-ⅣⅥ-ⅨⅪⅫⅰ-ⅳⅵ-ⅸⅺⅻ⒤Ⓘⓘ㍺㏌㏕fiffiＩｉ]", + J: "[JjIJ-ĵLJ-njǰʲᴶⅉ⒥ⒿⓙⱼＪｊ]", + K: "[KkĶķǨǩᴷᵏḰ-ḵK⒦Ⓚⓚ㎄㎅㎉㎏㎑㎘㎞㎢㎦㎪㎸㎾㏀㏆㏍-㏏Ｋｋ]", + L: "[LlĹ-ŀLJ-ljˡᴸḶḷḺ-ḽℒℓ℡Ⅼⅼ⒧Ⓛⓛ㋏㎈㎉㏐-㏓㏕㏖㏿flfflＬｌ]", + M: "[MmᴹᵐḾ-ṃ℠™ℳⅯⅿ⒨Ⓜⓜ㍷-㍹㎃㎆㎎㎒㎖㎙-㎨㎫㎳㎷㎹㎽㎿㏁㏂㏎㏐㏔-㏖㏘㏙㏞㏟Ｍｍ]", + N: "[NnÑñŃ-ʼnNJ-njǸǹᴺṄ-ṋⁿℕ№⒩Ⓝⓝ㎁㎋㎚㎱㎵㎻㏌㏑Ｎｎ]", + O: "[OoºÒ-Öò-öŌ-őƠơǑǒǪǫȌ-ȏȮȯᴼᵒỌ-ỏₒ℅№ℴ⒪Ⓞⓞ㍵㏇㏒㏖Ｏｏ]", + P: "[PpᴾᵖṔ-ṗℙ⒫Ⓟⓟ㉐㍱㍶㎀㎊㎩-㎬㎰㎴㎺㏋㏗-㏚Ｐｐ]", + Q: "[Qqℚ⒬Ⓠⓠ㏃Ｑｑ]", + R: "[RrŔ-řȐ-ȓʳᴿᵣṘ-ṛṞṟ₨ℛ-ℝ⒭Ⓡⓡ㋍㍴㎭-㎯㏚㏛Ｒｒ]", + S: "[SsŚ-šſȘșˢṠ-ṣ₨℁℠⒮Ⓢⓢ㎧㎨㎮-㎳㏛㏜stＳｓ]", + T: "[TtŢ-ťȚțᵀᵗṪ-ṱẗ℡™⒯Ⓣⓣ㉐㋏㎔㏏ſtstＴｔ]", + U: "[UuÙ-Üù-üŨ-ųƯưǓǔȔ-ȗᵁᵘᵤṲ-ṷỤ-ủ℆⒰Ⓤⓤ㍳㍺Ｕｕ]", + V: "[VvᵛᵥṼ-ṿⅣ-Ⅷⅳ-ⅷ⒱Ⓥⓥⱽ㋎㍵㎴-㎹㏜㏞Ｖｖ]", + W: "[WwŴŵʷᵂẀ-ẉẘ⒲Ⓦⓦ㎺-㎿㏝Ｗｗ]", + X: "[XxˣẊ-ẍₓ℻Ⅸ-Ⅻⅸ-ⅻ⒳Ⓧⓧ㏓Ｘｘ]", + Y: "[YyÝýÿŶ-ŸȲȳʸẎẏẙỲ-ỹ⒴Ⓨⓨ㏉Ｙｙ]", + Z: "[ZzŹ-žDZ-dzᶻẐ-ẕℤℨ⒵Ⓩⓩ㎐-㎔Ｚｚ]" + }; + return function hightlight(o) { + var regex; + o = _.mixin({}, defaults, o); + if (!o.node || !o.pattern) { + return; + } + o.pattern = _.isArray(o.pattern) ? o.pattern : [ o.pattern ]; + regex = getRegex(o.pattern, o.caseSensitive, o.wordsOnly, o.diacriticInsensitive); + traverse(o.node, hightlightTextNode); + function hightlightTextNode(textNode) { + var match, patternNode, wrapperNode; + if (match = regex.exec(textNode.data)) { + wrapperNode = doc.createElement(o.tagName); + o.className && (wrapperNode.className = o.className); + patternNode = textNode.splitText(match.index); + patternNode.splitText(match[0].length); + wrapperNode.appendChild(patternNode.cloneNode(true)); + textNode.parentNode.replaceChild(wrapperNode, patternNode); + } + return !!match; + } + function traverse(el, hightlightTextNode) { + var childNode, TEXT_NODE_TYPE = 3; + for (var i = 0; i < el.childNodes.length; i++) { + childNode = el.childNodes[i]; + if (childNode.nodeType === TEXT_NODE_TYPE) { + i += hightlightTextNode(childNode) ? 1 : 0; + } else { + traverse(childNode, hightlightTextNode); + } + } + } + }; + function accent_replacer(chr) { + return accented[chr.toUpperCase()] || chr; + } + function getRegex(patterns, caseSensitive, wordsOnly, diacriticInsensitive) { + var escapedPatterns = [], regexStr; + for (var i = 0, len = patterns.length; i < len; i++) { + var escapedWord = _.escapeRegExChars(patterns[i]); + if (diacriticInsensitive) { + escapedWord = escapedWord.replace(/\S/g, accent_replacer); + } + escapedPatterns.push(escapedWord); + } + regexStr = wordsOnly ? "\\b(" + escapedPatterns.join("|") + ")\\b" : "(" + escapedPatterns.join("|") + ")"; + return caseSensitive ? new RegExp(regexStr) : new RegExp(regexStr, "i"); + } + }(window.document); + var Input = function() { + "use strict"; + var specialKeyCodeMap; + specialKeyCodeMap = { + 9: "tab", + 27: "esc", + 37: "left", + 39: "right", + 13: "enter", + 38: "up", + 40: "down" + }; + function Input(o, www) { + var id; + o = o || {}; + if (!o.input) { + $.error("input is missing"); + } + www.mixin(this); + this.$hint = $(o.hint); + this.$input = $(o.input); + this.$menu = $(o.menu); + id = this.$input.attr("id") || _.guid(); + this.$menu.attr("id", id + "_listbox"); + this.$hint.attr({ + "aria-hidden": true + }); + this.$input.attr({ + "aria-owns": id + "_listbox", + role: "combobox", + "aria-autocomplete": "list", + "aria-expanded": false + }); + this.query = this.$input.val(); + this.queryWhenFocused = this.hasFocus() ? this.query : null; + this.$overflowHelper = buildOverflowHelper(this.$input); + this._checkLanguageDirection(); + if (this.$hint.length === 0) { + this.setHint = this.getHint = this.clearHint = this.clearHintIfInvalid = _.noop; + } + this.onSync("cursorchange", this._updateDescendent); + } + Input.normalizeQuery = function(str) { + return _.toStr(str).replace(/^\s*/g, "").replace(/\s{2,}/g, " "); + }; + _.mixin(Input.prototype, EventEmitter, { + _onBlur: function onBlur() { + this.resetInputValue(); + this.trigger("blurred"); + }, + _onFocus: function onFocus() { + this.queryWhenFocused = this.query; + this.trigger("focused"); + }, + _onKeydown: function onKeydown($e) { + var keyName = specialKeyCodeMap[$e.which || $e.keyCode]; + this._managePreventDefault(keyName, $e); + if (keyName && this._shouldTrigger(keyName, $e)) { + this.trigger(keyName + "Keyed", $e); + } + }, + _onInput: function onInput() { + this._setQuery(this.getInputValue()); + this.clearHintIfInvalid(); + this._checkLanguageDirection(); + }, + _managePreventDefault: function managePreventDefault(keyName, $e) { + var preventDefault; + switch (keyName) { + case "up": + case "down": + preventDefault = !withModifier($e); + break; + + default: + preventDefault = false; + } + preventDefault && $e.preventDefault(); + }, + _shouldTrigger: function shouldTrigger(keyName, $e) { + var trigger; + switch (keyName) { + case "tab": + trigger = !withModifier($e); + break; + + default: + trigger = true; + } + return trigger; + }, + _checkLanguageDirection: function checkLanguageDirection() { + var dir = (this.$input.css("direction") || "ltr").toLowerCase(); + if (this.dir !== dir) { + this.dir = dir; + this.$hint.attr("dir", dir); + this.trigger("langDirChanged", dir); + } + }, + _setQuery: function setQuery(val, silent) { + var areEquivalent, hasDifferentWhitespace; + areEquivalent = areQueriesEquivalent(val, this.query); + hasDifferentWhitespace = areEquivalent ? this.query.length !== val.length : false; + this.query = val; + if (!silent && !areEquivalent) { + this.trigger("queryChanged", this.query); + } else if (!silent && hasDifferentWhitespace) { + this.trigger("whitespaceChanged", this.query); + } + }, + _updateDescendent: function updateDescendent(event, id) { + this.$input.attr("aria-activedescendant", id); + }, + bind: function() { + var that = this, onBlur, onFocus, onKeydown, onInput; + onBlur = _.bind(this._onBlur, this); + onFocus = _.bind(this._onFocus, this); + onKeydown = _.bind(this._onKeydown, this); + onInput = _.bind(this._onInput, this); + this.$input.on("blur.tt", onBlur).on("focus.tt", onFocus).on("keydown.tt", onKeydown); + if (!_.isMsie() || _.isMsie() > 9) { + this.$input.on("input.tt", onInput); + } else { + this.$input.on("keydown.tt keypress.tt cut.tt paste.tt", function($e) { + if (specialKeyCodeMap[$e.which || $e.keyCode]) { + return; + } + _.defer(_.bind(that._onInput, that, $e)); + }); + } + return this; + }, + focus: function focus() { + this.$input.focus(); + }, + blur: function blur() { + this.$input.blur(); + }, + getLangDir: function getLangDir() { + return this.dir; + }, + getQuery: function getQuery() { + return this.query || ""; + }, + setQuery: function setQuery(val, silent) { + this.setInputValue(val); + this._setQuery(val, silent); + }, + hasQueryChangedSinceLastFocus: function hasQueryChangedSinceLastFocus() { + return this.query !== this.queryWhenFocused; + }, + getInputValue: function getInputValue() { + return this.$input.val(); + }, + setInputValue: function setInputValue(value) { + this.$input.val(value); + this.clearHintIfInvalid(); + this._checkLanguageDirection(); + }, + resetInputValue: function resetInputValue() { + this.setInputValue(this.query); + }, + getHint: function getHint() { + return this.$hint.val(); + }, + setHint: function setHint(value) { + this.$hint.val(value); + }, + clearHint: function clearHint() { + this.setHint(""); + }, + clearHintIfInvalid: function clearHintIfInvalid() { + var val, hint, valIsPrefixOfHint, isValid; + val = this.getInputValue(); + hint = this.getHint(); + valIsPrefixOfHint = val !== hint && hint.indexOf(val) === 0; + isValid = val !== "" && valIsPrefixOfHint && !this.hasOverflow(); + !isValid && this.clearHint(); + }, + hasFocus: function hasFocus() { + return this.$input.is(":focus"); + }, + hasOverflow: function hasOverflow() { + var constraint = this.$input.width() - 2; + this.$overflowHelper.text(this.getInputValue()); + return this.$overflowHelper.width() >= constraint; + }, + isCursorAtEnd: function() { + var valueLength, selectionStart, range; + valueLength = this.$input.val().length; + selectionStart = this.$input[0].selectionStart; + if (_.isNumber(selectionStart)) { + return selectionStart === valueLength; + } else if (document.selection) { + range = document.selection.createRange(); + range.moveStart("character", -valueLength); + return valueLength === range.text.length; + } + return true; + }, + destroy: function destroy() { + this.$hint.off(".tt"); + this.$input.off(".tt"); + this.$overflowHelper.remove(); + this.$hint = this.$input = this.$overflowHelper = $("
"); + }, + setAriaExpanded: function setAriaExpanded(value) { + this.$input.attr("aria-expanded", value); + } + }); + return Input; + function buildOverflowHelper($input) { + return $('').css({ + position: "absolute", + visibility: "hidden", + whiteSpace: "pre", + fontFamily: $input.css("font-family"), + fontSize: $input.css("font-size"), + fontStyle: $input.css("font-style"), + fontVariant: $input.css("font-variant"), + fontWeight: $input.css("font-weight"), + wordSpacing: $input.css("word-spacing"), + letterSpacing: $input.css("letter-spacing"), + textIndent: $input.css("text-indent"), + textRendering: $input.css("text-rendering"), + textTransform: $input.css("text-transform") + }).insertAfter($input); + } + function areQueriesEquivalent(a, b) { + return Input.normalizeQuery(a) === Input.normalizeQuery(b); + } + function withModifier($e) { + return $e.altKey || $e.ctrlKey || $e.metaKey || $e.shiftKey; + } + }(); + var Dataset = function() { + "use strict"; + var keys, nameGenerator; + keys = { + dataset: "tt-selectable-dataset", + val: "tt-selectable-display", + obj: "tt-selectable-object" + }; + nameGenerator = _.getIdGenerator(); + function Dataset(o, www) { + o = o || {}; + o.templates = o.templates || {}; + o.templates.notFound = o.templates.notFound || o.templates.empty; + if (!o.source) { + $.error("missing source"); + } + if (!o.node) { + $.error("missing node"); + } + if (o.name && !isValidName(o.name)) { + $.error("invalid dataset name: " + o.name); + } + www.mixin(this); + this.highlight = !!o.highlight; + this.name = _.toStr(o.name || nameGenerator()); + this.limit = o.limit || 5; + this.displayFn = getDisplayFn(o.display || o.displayKey); + this.templates = getTemplates(o.templates, this.displayFn); + this.source = o.source.__ttAdapter ? o.source.__ttAdapter() : o.source; + this.async = _.isUndefined(o.async) ? this.source.length > 2 : !!o.async; + this._resetLastSuggestion(); + this.$el = $(o.node).attr("role", "presentation").addClass(this.classes.dataset).addClass(this.classes.dataset + "-" + this.name); + } + Dataset.extractData = function extractData(el) { + var $el = $(el); + if ($el.data(keys.obj)) { + return { + dataset: $el.data(keys.dataset) || "", + val: $el.data(keys.val) || "", + obj: $el.data(keys.obj) || null + }; + } + return null; + }; + _.mixin(Dataset.prototype, EventEmitter, { + _overwrite: function overwrite(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (this.async && this.templates.pending) { + this._renderPending(query); + } else if (!this.async && this.templates.notFound) { + this._renderNotFound(query); + } else { + this._empty(); + } + this.trigger("rendered", suggestions, false, this.name); + }, + _append: function append(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length && this.$lastSuggestion.length) { + this._appendSuggestions(query, suggestions); + } else if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (!this.$lastSuggestion.length && this.templates.notFound) { + this._renderNotFound(query); + } + this.trigger("rendered", suggestions, true, this.name); + }, + _renderSuggestions: function renderSuggestions(query, suggestions) { + var $fragment; + $fragment = this._getSuggestionsFragment(query, suggestions); + this.$lastSuggestion = $fragment.children().last(); + this.$el.html($fragment).prepend(this._getHeader(query, suggestions)).append(this._getFooter(query, suggestions)); + }, + _appendSuggestions: function appendSuggestions(query, suggestions) { + var $fragment, $lastSuggestion; + $fragment = this._getSuggestionsFragment(query, suggestions); + $lastSuggestion = $fragment.children().last(); + this.$lastSuggestion.after($fragment); + this.$lastSuggestion = $lastSuggestion; + }, + _renderPending: function renderPending(query) { + var template = this.templates.pending; + this._resetLastSuggestion(); + template && this.$el.html(template({ + query: query, + dataset: this.name + })); + }, + _renderNotFound: function renderNotFound(query) { + var template = this.templates.notFound; + this._resetLastSuggestion(); + template && this.$el.html(template({ + query: query, + dataset: this.name + })); + }, + _empty: function empty() { + this.$el.empty(); + this._resetLastSuggestion(); + }, + _getSuggestionsFragment: function getSuggestionsFragment(query, suggestions) { + var that = this, fragment; + fragment = document.createDocumentFragment(); + _.each(suggestions, function getSuggestionNode(suggestion) { + var $el, context; + context = that._injectQuery(query, suggestion); + $el = $(that.templates.suggestion(context)).data(keys.dataset, that.name).data(keys.obj, suggestion).data(keys.val, that.displayFn(suggestion)).addClass(that.classes.suggestion + " " + that.classes.selectable); + fragment.appendChild($el[0]); + }); + this.highlight && highlight({ + className: this.classes.highlight, + node: fragment, + pattern: query + }); + return $(fragment); + }, + _getFooter: function getFooter(query, suggestions) { + return this.templates.footer ? this.templates.footer({ + query: query, + suggestions: suggestions, + dataset: this.name + }) : null; + }, + _getHeader: function getHeader(query, suggestions) { + return this.templates.header ? this.templates.header({ + query: query, + suggestions: suggestions, + dataset: this.name + }) : null; + }, + _resetLastSuggestion: function resetLastSuggestion() { + this.$lastSuggestion = $(); + }, + _injectQuery: function injectQuery(query, obj) { + return _.isObject(obj) ? _.mixin({ + _query: query + }, obj) : obj; + }, + update: function update(query) { + var that = this, canceled = false, syncCalled = false, rendered = 0; + this.cancel(); + this.cancel = function cancel() { + canceled = true; + that.cancel = $.noop; + that.async && that.trigger("asyncCanceled", query, that.name); + }; + this.source(query, sync, async); + !syncCalled && sync([]); + function sync(suggestions) { + if (syncCalled) { + return; + } + syncCalled = true; + suggestions = (suggestions || []).slice(0, that.limit); + rendered = suggestions.length; + that._overwrite(query, suggestions); + if (rendered < that.limit && that.async) { + that.trigger("asyncRequested", query, that.name); + } + } + function async(suggestions) { + suggestions = suggestions || []; + if (!canceled && rendered < that.limit) { + that.cancel = $.noop; + var idx = Math.abs(rendered - that.limit); + rendered += idx; + that._append(query, suggestions.slice(0, idx)); + that.async && that.trigger("asyncReceived", query, that.name); + } + } + }, + cancel: $.noop, + clear: function clear() { + this._empty(); + this.cancel(); + this.trigger("cleared"); + }, + isEmpty: function isEmpty() { + return this.$el.is(":empty"); + }, + destroy: function destroy() { + this.$el = $("
"); + } + }); + return Dataset; + function getDisplayFn(display) { + display = display || _.stringify; + return _.isFunction(display) ? display : displayFn; + function displayFn(obj) { + return obj[display]; + } + } + function getTemplates(templates, displayFn) { + return { + notFound: templates.notFound && _.templatify(templates.notFound), + pending: templates.pending && _.templatify(templates.pending), + header: templates.header && _.templatify(templates.header), + footer: templates.footer && _.templatify(templates.footer), + suggestion: templates.suggestion ? userSuggestionTemplate : suggestionTemplate + }; + function userSuggestionTemplate(context) { + var template = templates.suggestion; + return $(template(context)).attr("id", _.guid()); + } + function suggestionTemplate(context) { + return $('
').attr("id", _.guid()).text(displayFn(context)); + } + } + function isValidName(str) { + return /^[_a-zA-Z0-9-]+$/.test(str); + } + }(); + var Menu = function() { + "use strict"; + function Menu(o, www) { + var that = this; + o = o || {}; + if (!o.node) { + $.error("node is required"); + } + www.mixin(this); + this.$node = $(o.node); + this.query = null; + this.datasets = _.map(o.datasets, initializeDataset); + function initializeDataset(oDataset) { + var node = that.$node.find(oDataset.node).first(); + oDataset.node = node.length ? node : $("
").appendTo(that.$node); + return new Dataset(oDataset, www); + } + } + _.mixin(Menu.prototype, EventEmitter, { + _onSelectableClick: function onSelectableClick($e) { + this.trigger("selectableClicked", $($e.currentTarget)); + }, + _onRendered: function onRendered(type, dataset, suggestions, async) { + this.$node.toggleClass(this.classes.empty, this._allDatasetsEmpty()); + this.trigger("datasetRendered", dataset, suggestions, async); + }, + _onCleared: function onCleared() { + this.$node.toggleClass(this.classes.empty, this._allDatasetsEmpty()); + this.trigger("datasetCleared"); + }, + _propagate: function propagate() { + this.trigger.apply(this, arguments); + }, + _allDatasetsEmpty: function allDatasetsEmpty() { + return _.every(this.datasets, _.bind(function isDatasetEmpty(dataset) { + var isEmpty = dataset.isEmpty(); + this.$node.attr("aria-expanded", !isEmpty); + return isEmpty; + }, this)); + }, + _getSelectables: function getSelectables() { + return this.$node.find(this.selectors.selectable); + }, + _removeCursor: function _removeCursor() { + var $selectable = this.getActiveSelectable(); + $selectable && $selectable.removeClass(this.classes.cursor); + }, + _ensureVisible: function ensureVisible($el) { + var elTop, elBottom, nodeScrollTop, nodeHeight; + elTop = $el.position().top; + elBottom = elTop + $el.outerHeight(true); + nodeScrollTop = this.$node.scrollTop(); + nodeHeight = this.$node.height() + parseInt(this.$node.css("paddingTop"), 10) + parseInt(this.$node.css("paddingBottom"), 10); + if (elTop < 0) { + this.$node.scrollTop(nodeScrollTop + elTop); + } else if (nodeHeight < elBottom) { + this.$node.scrollTop(nodeScrollTop + (elBottom - nodeHeight)); + } + }, + bind: function() { + var that = this, onSelectableClick; + onSelectableClick = _.bind(this._onSelectableClick, this); + this.$node.on("click.tt", this.selectors.selectable, onSelectableClick); + this.$node.on("mouseover", this.selectors.selectable, function() { + that.setCursor($(this)); + }); + this.$node.on("mouseleave", function() { + that._removeCursor(); + }); + _.each(this.datasets, function(dataset) { + dataset.onSync("asyncRequested", that._propagate, that).onSync("asyncCanceled", that._propagate, that).onSync("asyncReceived", that._propagate, that).onSync("rendered", that._onRendered, that).onSync("cleared", that._onCleared, that); + }); + return this; + }, + isOpen: function isOpen() { + return this.$node.hasClass(this.classes.open); + }, + open: function open() { + this.$node.scrollTop(0); + this.$node.addClass(this.classes.open); + }, + close: function close() { + this.$node.attr("aria-expanded", false); + this.$node.removeClass(this.classes.open); + this._removeCursor(); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$node.attr("dir", dir); + }, + selectableRelativeToCursor: function selectableRelativeToCursor(delta) { + var $selectables, $oldCursor, oldIndex, newIndex; + $oldCursor = this.getActiveSelectable(); + $selectables = this._getSelectables(); + oldIndex = $oldCursor ? $selectables.index($oldCursor) : -1; + newIndex = oldIndex + delta; + newIndex = (newIndex + 1) % ($selectables.length + 1) - 1; + newIndex = newIndex < -1 ? $selectables.length - 1 : newIndex; + return newIndex === -1 ? null : $selectables.eq(newIndex); + }, + setCursor: function setCursor($selectable) { + this._removeCursor(); + if ($selectable = $selectable && $selectable.first()) { + $selectable.addClass(this.classes.cursor); + this._ensureVisible($selectable); + } + }, + getSelectableData: function getSelectableData($el) { + return $el && $el.length ? Dataset.extractData($el) : null; + }, + getActiveSelectable: function getActiveSelectable() { + var $selectable = this._getSelectables().filter(this.selectors.cursor).first(); + return $selectable.length ? $selectable : null; + }, + getTopSelectable: function getTopSelectable() { + var $selectable = this._getSelectables().first(); + return $selectable.length ? $selectable : null; + }, + update: function update(query) { + var isValidUpdate = query !== this.query; + if (isValidUpdate) { + this.query = query; + _.each(this.datasets, updateDataset); + } + return isValidUpdate; + function updateDataset(dataset) { + dataset.update(query); + } + }, + empty: function empty() { + _.each(this.datasets, clearDataset); + this.query = null; + this.$node.addClass(this.classes.empty); + function clearDataset(dataset) { + dataset.clear(); + } + }, + destroy: function destroy() { + this.$node.off(".tt"); + this.$node = $("
"); + _.each(this.datasets, destroyDataset); + function destroyDataset(dataset) { + dataset.destroy(); + } + } + }); + return Menu; + }(); + var Status = function() { + "use strict"; + function Status(options) { + this.$el = $("", { + role: "status", + "aria-live": "polite" + }).css({ + position: "absolute", + padding: "0", + border: "0", + height: "1px", + width: "1px", + "margin-bottom": "-1px", + "margin-right": "-1px", + overflow: "hidden", + clip: "rect(0 0 0 0)", + "white-space": "nowrap" + }); + options.$input.after(this.$el); + _.each(options.menu.datasets, _.bind(function(dataset) { + if (dataset.onSync) { + dataset.onSync("rendered", _.bind(this.update, this)); + dataset.onSync("cleared", _.bind(this.cleared, this)); + } + }, this)); + } + _.mixin(Status.prototype, { + update: function update(event, suggestions) { + var length = suggestions.length; + var words; + if (length === 1) { + words = { + result: "result", + is: "is" + }; + } else { + words = { + result: "results", + is: "are" + }; + } + this.$el.text(length + " " + words.result + " " + words.is + " available, use up and down arrow keys to navigate."); + }, + cleared: function() { + this.$el.text(""); + } + }); + return Status; + }(); + var DefaultMenu = function() { + "use strict"; + var s = Menu.prototype; + function DefaultMenu() { + Menu.apply(this, [].slice.call(arguments, 0)); + } + _.mixin(DefaultMenu.prototype, Menu.prototype, { + open: function open() { + !this._allDatasetsEmpty() && this._show(); + return s.open.apply(this, [].slice.call(arguments, 0)); + }, + close: function close() { + this._hide(); + return s.close.apply(this, [].slice.call(arguments, 0)); + }, + _onRendered: function onRendered() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onRendered.apply(this, [].slice.call(arguments, 0)); + }, + _onCleared: function onCleared() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onCleared.apply(this, [].slice.call(arguments, 0)); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$node.css(dir === "ltr" ? this.css.ltr : this.css.rtl); + return s.setLanguageDirection.apply(this, [].slice.call(arguments, 0)); + }, + _hide: function hide() { + this.$node.hide(); + }, + _show: function show() { + this.$node.css("display", "block"); + } + }); + return DefaultMenu; + }(); + var Typeahead = function() { + "use strict"; + function Typeahead(o, www) { + var onFocused, onBlurred, onEnterKeyed, onTabKeyed, onEscKeyed, onUpKeyed, onDownKeyed, onLeftKeyed, onRightKeyed, onQueryChanged, onWhitespaceChanged; + o = o || {}; + if (!o.input) { + $.error("missing input"); + } + if (!o.menu) { + $.error("missing menu"); + } + if (!o.eventBus) { + $.error("missing event bus"); + } + www.mixin(this); + this.eventBus = o.eventBus; + this.minLength = _.isNumber(o.minLength) ? o.minLength : 1; + this.input = o.input; + this.menu = o.menu; + this.enabled = true; + this.autoselect = !!o.autoselect; + this.active = false; + this.input.hasFocus() && this.activate(); + this.dir = this.input.getLangDir(); + this._hacks(); + this.menu.bind().onSync("selectableClicked", this._onSelectableClicked, this).onSync("asyncRequested", this._onAsyncRequested, this).onSync("asyncCanceled", this._onAsyncCanceled, this).onSync("asyncReceived", this._onAsyncReceived, this).onSync("datasetRendered", this._onDatasetRendered, this).onSync("datasetCleared", this._onDatasetCleared, this); + onFocused = c(this, "activate", "open", "_onFocused"); + onBlurred = c(this, "deactivate", "_onBlurred"); + onEnterKeyed = c(this, "isActive", "isOpen", "_onEnterKeyed"); + onTabKeyed = c(this, "isActive", "isOpen", "_onTabKeyed"); + onEscKeyed = c(this, "isActive", "_onEscKeyed"); + onUpKeyed = c(this, "isActive", "open", "_onUpKeyed"); + onDownKeyed = c(this, "isActive", "open", "_onDownKeyed"); + onLeftKeyed = c(this, "isActive", "isOpen", "_onLeftKeyed"); + onRightKeyed = c(this, "isActive", "isOpen", "_onRightKeyed"); + onQueryChanged = c(this, "_openIfActive", "_onQueryChanged"); + onWhitespaceChanged = c(this, "_openIfActive", "_onWhitespaceChanged"); + this.input.bind().onSync("focused", onFocused, this).onSync("blurred", onBlurred, this).onSync("enterKeyed", onEnterKeyed, this).onSync("tabKeyed", onTabKeyed, this).onSync("escKeyed", onEscKeyed, this).onSync("upKeyed", onUpKeyed, this).onSync("downKeyed", onDownKeyed, this).onSync("leftKeyed", onLeftKeyed, this).onSync("rightKeyed", onRightKeyed, this).onSync("queryChanged", onQueryChanged, this).onSync("whitespaceChanged", onWhitespaceChanged, this).onSync("langDirChanged", this._onLangDirChanged, this); + } + _.mixin(Typeahead.prototype, { + _hacks: function hacks() { + var $input, $menu; + $input = this.input.$input || $("
"); + $menu = this.menu.$node || $("
"); + $input.on("blur.tt", function($e) { + var active, isActive, hasActive; + active = document.activeElement; + isActive = $menu.is(active); + hasActive = $menu.has(active).length > 0; + if (_.isMsie() && (isActive || hasActive)) { + $e.preventDefault(); + $e.stopImmediatePropagation(); + _.defer(function() { + $input.focus(); + }); + } + }); + $menu.on("mousedown.tt", function($e) { + $e.preventDefault(); + }); + }, + _onSelectableClicked: function onSelectableClicked(type, $el) { + this.select($el); + }, + _onDatasetCleared: function onDatasetCleared() { + this._updateHint(); + }, + _onDatasetRendered: function onDatasetRendered(type, suggestions, async, dataset) { + this._updateHint(); + if (this.autoselect) { + var cursorClass = this.selectors.cursor.substr(1); + this.menu.$node.find(this.selectors.suggestion).first().addClass(cursorClass); + } + this.eventBus.trigger("render", suggestions, async, dataset); + }, + _onAsyncRequested: function onAsyncRequested(type, dataset, query) { + this.eventBus.trigger("asyncrequest", query, dataset); + }, + _onAsyncCanceled: function onAsyncCanceled(type, dataset, query) { + this.eventBus.trigger("asynccancel", query, dataset); + }, + _onAsyncReceived: function onAsyncReceived(type, dataset, query) { + this.eventBus.trigger("asyncreceive", query, dataset); + }, + _onFocused: function onFocused() { + this._minLengthMet() && this.menu.update(this.input.getQuery()); + }, + _onBlurred: function onBlurred() { + if (this.input.hasQueryChangedSinceLastFocus()) { + this.eventBus.trigger("change", this.input.getQuery()); + } + }, + _onEnterKeyed: function onEnterKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + if (this.select($selectable)) { + $e.preventDefault(); + $e.stopPropagation(); + } + } else if (this.autoselect) { + if (this.select(this.menu.getTopSelectable())) { + $e.preventDefault(); + $e.stopPropagation(); + } + } + }, + _onTabKeyed: function onTabKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + this.select($selectable) && $e.preventDefault(); + } else if (this.autoselect) { + if ($selectable = this.menu.getTopSelectable()) { + this.autocomplete($selectable) && $e.preventDefault(); + } + } + }, + _onEscKeyed: function onEscKeyed() { + this.close(); + }, + _onUpKeyed: function onUpKeyed() { + this.moveCursor(-1); + }, + _onDownKeyed: function onDownKeyed() { + this.moveCursor(+1); + }, + _onLeftKeyed: function onLeftKeyed() { + if (this.dir === "rtl" && this.input.isCursorAtEnd()) { + this.autocomplete(this.menu.getActiveSelectable() || this.menu.getTopSelectable()); + } + }, + _onRightKeyed: function onRightKeyed() { + if (this.dir === "ltr" && this.input.isCursorAtEnd()) { + this.autocomplete(this.menu.getActiveSelectable() || this.menu.getTopSelectable()); + } + }, + _onQueryChanged: function onQueryChanged(e, query) { + this._minLengthMet(query) ? this.menu.update(query) : this.menu.empty(); + }, + _onWhitespaceChanged: function onWhitespaceChanged() { + this._updateHint(); + }, + _onLangDirChanged: function onLangDirChanged(e, dir) { + if (this.dir !== dir) { + this.dir = dir; + this.menu.setLanguageDirection(dir); + } + }, + _openIfActive: function openIfActive() { + this.isActive() && this.open(); + }, + _minLengthMet: function minLengthMet(query) { + query = _.isString(query) ? query : this.input.getQuery() || ""; + return query.length >= this.minLength; + }, + _updateHint: function updateHint() { + var $selectable, data, val, query, escapedQuery, frontMatchRegEx, match; + $selectable = this.menu.getTopSelectable(); + data = this.menu.getSelectableData($selectable); + val = this.input.getInputValue(); + if (data && !_.isBlankString(val) && !this.input.hasOverflow()) { + query = Input.normalizeQuery(val); + escapedQuery = _.escapeRegExChars(query); + frontMatchRegEx = new RegExp("^(?:" + escapedQuery + ")(.+$)", "i"); + match = frontMatchRegEx.exec(data.val); + match && this.input.setHint(val + match[1]); + } else { + this.input.clearHint(); + } + }, + isEnabled: function isEnabled() { + return this.enabled; + }, + enable: function enable() { + this.enabled = true; + }, + disable: function disable() { + this.enabled = false; + }, + isActive: function isActive() { + return this.active; + }, + activate: function activate() { + if (this.isActive()) { + return true; + } else if (!this.isEnabled() || this.eventBus.before("active")) { + return false; + } else { + this.active = true; + this.eventBus.trigger("active"); + return true; + } + }, + deactivate: function deactivate() { + if (!this.isActive()) { + return true; + } else if (this.eventBus.before("idle")) { + return false; + } else { + this.active = false; + this.close(); + this.eventBus.trigger("idle"); + return true; + } + }, + isOpen: function isOpen() { + return this.menu.isOpen(); + }, + open: function open() { + if (!this.isOpen() && !this.eventBus.before("open")) { + this.input.setAriaExpanded(true); + this.menu.open(); + this._updateHint(); + this.eventBus.trigger("open"); + } + return this.isOpen(); + }, + close: function close() { + if (this.isOpen() && !this.eventBus.before("close")) { + this.input.setAriaExpanded(false); + this.menu.close(); + this.input.clearHint(); + this.input.resetInputValue(); + this.eventBus.trigger("close"); + } + return !this.isOpen(); + }, + setVal: function setVal(val) { + this.input.setQuery(_.toStr(val)); + }, + getVal: function getVal() { + return this.input.getQuery(); + }, + select: function select($selectable) { + var data = this.menu.getSelectableData($selectable); + if (data && !this.eventBus.before("select", data.obj, data.dataset)) { + this.input.setQuery(data.val, true); + this.eventBus.trigger("select", data.obj, data.dataset); + this.close(); + return true; + } + return false; + }, + autocomplete: function autocomplete($selectable) { + var query, data, isValid; + query = this.input.getQuery(); + data = this.menu.getSelectableData($selectable); + isValid = data && query !== data.val; + if (isValid && !this.eventBus.before("autocomplete", data.obj, data.dataset)) { + this.input.setQuery(data.val); + this.eventBus.trigger("autocomplete", data.obj, data.dataset); + return true; + } + return false; + }, + moveCursor: function moveCursor(delta) { + var query, $candidate, data, suggestion, datasetName, cancelMove, id; + query = this.input.getQuery(); + $candidate = this.menu.selectableRelativeToCursor(delta); + data = this.menu.getSelectableData($candidate); + suggestion = data ? data.obj : null; + datasetName = data ? data.dataset : null; + id = $candidate ? $candidate.attr("id") : null; + this.input.trigger("cursorchange", id); + cancelMove = this._minLengthMet() && this.menu.update(query); + if (!cancelMove && !this.eventBus.before("cursorchange", suggestion, datasetName)) { + this.menu.setCursor($candidate); + if (data) { + if (typeof data.val === "string") { + this.input.setInputValue(data.val); + } + } else { + this.input.resetInputValue(); + this._updateHint(); + } + this.eventBus.trigger("cursorchange", suggestion, datasetName); + return true; + } + return false; + }, + destroy: function destroy() { + this.input.destroy(); + this.menu.destroy(); + } + }); + return Typeahead; + function c(ctx) { + var methods = [].slice.call(arguments, 1); + return function() { + var args = [].slice.call(arguments); + _.each(methods, function(method) { + return ctx[method].apply(ctx, args); + }); + }; + } + }(); + (function() { + "use strict"; + var old, keys, methods; + old = $.fn.typeahead; + keys = { + www: "tt-www", + attrs: "tt-attrs", + typeahead: "tt-typeahead" + }; + methods = { + initialize: function initialize(o, datasets) { + var www; + datasets = _.isArray(datasets) ? datasets : [].slice.call(arguments, 1); + o = o || {}; + www = WWW(o.classNames); + return this.each(attach); + function attach() { + var $input, $wrapper, $hint, $menu, defaultHint, defaultMenu, eventBus, input, menu, status, typeahead, MenuConstructor; + _.each(datasets, function(d) { + d.highlight = !!o.highlight; + }); + $input = $(this); + $wrapper = $(www.html.wrapper); + $hint = $elOrNull(o.hint); + $menu = $elOrNull(o.menu); + defaultHint = o.hint !== false && !$hint; + defaultMenu = o.menu !== false && !$menu; + defaultHint && ($hint = buildHintFromInput($input, www)); + defaultMenu && ($menu = $(www.html.menu).css(www.css.menu)); + $hint && $hint.val(""); + $input = prepInput($input, www); + if (defaultHint || defaultMenu) { + $wrapper.css(www.css.wrapper); + $input.css(defaultHint ? www.css.input : www.css.inputWithNoHint); + $input.wrap($wrapper).parent().prepend(defaultHint ? $hint : null).append(defaultMenu ? $menu : null); + } + MenuConstructor = defaultMenu ? DefaultMenu : Menu; + eventBus = new EventBus({ + el: $input + }); + input = new Input({ + hint: $hint, + input: $input, + menu: $menu + }, www); + menu = new MenuConstructor({ + node: $menu, + datasets: datasets + }, www); + status = new Status({ + $input: $input, + menu: menu + }); + typeahead = new Typeahead({ + input: input, + menu: menu, + eventBus: eventBus, + minLength: o.minLength, + autoselect: o.autoselect + }, www); + $input.data(keys.www, www); + $input.data(keys.typeahead, typeahead); + } + }, + isEnabled: function isEnabled() { + var enabled; + ttEach(this.first(), function(t) { + enabled = t.isEnabled(); + }); + return enabled; + }, + enable: function enable() { + ttEach(this, function(t) { + t.enable(); + }); + return this; + }, + disable: function disable() { + ttEach(this, function(t) { + t.disable(); + }); + return this; + }, + isActive: function isActive() { + var active; + ttEach(this.first(), function(t) { + active = t.isActive(); + }); + return active; + }, + activate: function activate() { + ttEach(this, function(t) { + t.activate(); + }); + return this; + }, + deactivate: function deactivate() { + ttEach(this, function(t) { + t.deactivate(); + }); + return this; + }, + isOpen: function isOpen() { + var open; + ttEach(this.first(), function(t) { + open = t.isOpen(); + }); + return open; + }, + open: function open() { + ttEach(this, function(t) { + t.open(); + }); + return this; + }, + close: function close() { + ttEach(this, function(t) { + t.close(); + }); + return this; + }, + select: function select(el) { + var success = false, $el = $(el); + ttEach(this.first(), function(t) { + success = t.select($el); + }); + return success; + }, + autocomplete: function autocomplete(el) { + var success = false, $el = $(el); + ttEach(this.first(), function(t) { + success = t.autocomplete($el); + }); + return success; + }, + moveCursor: function moveCursoe(delta) { + var success = false; + ttEach(this.first(), function(t) { + success = t.moveCursor(delta); + }); + return success; + }, + val: function val(newVal) { + var query; + if (!arguments.length) { + ttEach(this.first(), function(t) { + query = t.getVal(); + }); + return query; + } else { + ttEach(this, function(t) { + t.setVal(_.toStr(newVal)); + }); + return this; + } + }, + destroy: function destroy() { + ttEach(this, function(typeahead, $input) { + revert($input); + typeahead.destroy(); + }); + return this; + } + }; + $.fn.typeahead = function(method) { + if (methods[method]) { + return methods[method].apply(this, [].slice.call(arguments, 1)); + } else { + return methods.initialize.apply(this, arguments); + } + }; + $.fn.typeahead.noConflict = function noConflict() { + $.fn.typeahead = old; + return this; + }; + function ttEach($els, fn) { + $els.each(function() { + var $input = $(this), typeahead; + (typeahead = $input.data(keys.typeahead)) && fn(typeahead, $input); + }); + } + function buildHintFromInput($input, www) { + return $input.clone().addClass(www.classes.hint).removeData().css(www.css.hint).css(getBackgroundStyles($input)).prop({ + readonly: true, + required: false + }).removeAttr("id name placeholder").removeClass("required").attr({ + spellcheck: "false", + tabindex: -1 + }); + } + function prepInput($input, www) { + $input.data(keys.attrs, { + dir: $input.attr("dir"), + autocomplete: $input.attr("autocomplete"), + spellcheck: $input.attr("spellcheck"), + style: $input.attr("style") + }); + $input.addClass(www.classes.input).attr({ + spellcheck: false + }); + try { + !$input.attr("dir") && $input.attr("dir", "auto"); + } catch (e) {} + return $input; + } + function getBackgroundStyles($el) { + return { + backgroundAttachment: $el.css("background-attachment"), + backgroundClip: $el.css("background-clip"), + backgroundColor: $el.css("background-color"), + backgroundImage: $el.css("background-image"), + backgroundOrigin: $el.css("background-origin"), + backgroundPosition: $el.css("background-position"), + backgroundRepeat: $el.css("background-repeat"), + backgroundSize: $el.css("background-size") + }; + } + function revert($input) { + var www, $wrapper; + www = $input.data(keys.www); + $wrapper = $input.parent().filter(www.selectors.wrapper); + _.each($input.data(keys.attrs), function(val, key) { + _.isUndefined(val) ? $input.removeAttr(key) : $input.attr(key, val); + }); + $input.removeData(keys.typeahead).removeData(keys.www).removeData(keys.attr).removeClass(www.classes.input); + if ($wrapper.length) { + $input.detach().insertAfter($wrapper); + $wrapper.remove(); + } + } + function $elOrNull(obj) { + var isValid, $el; + isValid = _.isJQuery(obj) || _.isElement(obj); + $el = isValid ? $(obj).first() : []; + return $el.length ? $el : null; + } + })(); +}); \ No newline at end of file diff --git a/docs/metadata.json b/docs/metadata.json deleted file mode 100644 index ae7c5c3..0000000 --- a/docs/metadata.json +++ /dev/null @@ -1 +0,0 @@ -{"bundleDisplayName":"BigInt","schemaVersion":{"patch":0,"major":0,"minor":1},"bundleIdentifier":"BigInt"} \ No newline at end of file diff --git a/docs/search.json b/docs/search.json new file mode 100644 index 0000000..1e2c17f --- /dev/null +++ b/docs/search.json @@ -0,0 +1 @@ +{"Structs/BigInt/Words.html#/s:Sl7IndicesQa":{"name":"Indices","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl5countSivp":{"name":"count","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sk7indices7IndicesQzvp":{"name":"indices","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl10startIndex0B0Qzvp":{"name":"startIndex","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sl8endIndex0B0Qzvp":{"name":"endIndex","parent_name":"Words"},"Structs/BigInt/Words.html#/s:Sly7ElementQz5IndexQzcip":{"name":"subscript(_:)","parent_name":"Words"},"Structs/BigInt/Sign.html#/s:6BigIntAAV4SignO4plusyA2DmF":{"name":"plus","abstract":"

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Return true iff this integer is zero.

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Add b to a in place.

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Return true iff a is equal to b.

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Return true iff a is less than b.

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Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order and a prepended byte to indicate the sign (0 for positive, 1 for negative)

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Divide this integer by y and return the resulting quotient and remainder.

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Divide a by b and return the quotient. Traps if b is zero.

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Divide a by b and return the remainder. The result has the same sign as a.

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Return the result of a mod b. The result is always a nonnegative integer that is less than the absolute value of b.

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Divide a by b storing the quotient in a.

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Divide a by b storing the remainder in a.

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Returns this integer raised to the power exponent.

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Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

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Returns the greatest common divisor of a and b.

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Append this BigInt to the specified hasher.

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Initializes a new signed big integer with the same value as the specified unsigned big integer.

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Initialize a new big integer from an integer literal.

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Multiply a with b and return the result.

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Multiply a with b in place.

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Returns true iff this integer passes the strong probable prime test for the specified base.

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Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

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Undocumented

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Undocumented

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Undocumented

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Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

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Returns self + n.

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Returns other - self.

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Initialize a new big integer from a Unicode scalar.","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV30extendedGraphemeClusterLiteralABSS_tcfc":{"name":"init(extendedGraphemeClusterLiteral:)","abstract":"

Initialize a new big integer from an extended grapheme cluster.","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV13stringLiteralABSS_tcfc":{"name":"init(stringLiteral:)","abstract":"

Initialize a new big integer from a decimal number represented by a string literal of arbitrary length.","parent_name":"BigInt"},"Structs/BigInt.html#/s:6BigIntAAV11descriptionSSvp":{"name":"description","abstract":"

Return the decimal representation of this integer.

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Return the playground quick look representation of this integer.

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Subtract b from a and return the result.

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Subtract b from a in place.

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Undocumented

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Undocumented

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Undocumented

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The type representing a digit in BigUInt‘s underlying number system.

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Initializes a new BigUInt with value 0.

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Initializes a new BigUInt with the specified digits. The digits are ordered from least to most significant.

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Add a and b together and return the result.

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Add a and b together, and store the sum in a.

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Return true iff this integer is zero.

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Returns 1 if this value is, positive; otherwise, 0.

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Return the ones’ complement of a.

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Calculate the bitwise OR of a and b, and store the result in a.

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Calculate the bitwise AND of a and b and return the result.

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Calculate the bitwise XOR of a and b and return the result.

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Compare a to b and return an NSComparisonResult indicating their order.

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Return true iff a is equal to b.

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Return true iff a is less than b.

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Initialize a BigInt from bytes accessed from an UnsafeRawBufferPointer

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Initializes an integer from the bits stored inside a piece of Data.","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV9serialize10Foundation4DataVyF":{"name":"serialize()","abstract":"

Return a Data value that contains the base-256 representation of this integer, in network (big-endian) byte order.

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Divide this integer by y and return the resulting quotient and remainder.

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Divide x by y and return the quotient.

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Divide x by y and return the remainder.

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Divide x by y and store the quotient in x.

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Divide x by y and store the remainder in x.

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Returns this integer raised to the power exponent.

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Returns the remainder of this integer raised to the power exponent in modulo arithmetic under modulus.

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Returns the greatest common divisor of self and b.

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Returns the multiplicative inverse of this integer in modulo modulus arithmetic,","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV4hash4intoys6HasherVz_tF":{"name":"hash(into:)","abstract":"

Append this BigUInt to the specified hasher.

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Initialize a new big integer from an integer literal.

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Multiply this big integer by a single word, and store the result in place of the original big integer.

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Multiply this big integer by a single Word, and return the result.

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Multiply x by y, and add the result to this integer, optionally shifted shift words to the left.

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Multiply this integer by y and return the result.

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Multiplication switches to an asymptotically better recursive algorithm when arguments have more words than this limit.

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Multiply a by b and return the result.

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Multiply a by b and store the result in a.

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Returns true iff this integer passes the strong probable prime test for the specified base.

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Returns true if this integer is probably prime. Returns false if this integer is definitely not prime.

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Create a big unsigned integer consisting of width uniformly distributed random bits.

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Create a big unsigned integer consisting of width uniformly distributed random bits.

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Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

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Create a big unsigned integer consisting of width-1 uniformly distributed random bits followed by a one bit.

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Create a uniformly distributed random unsigned integer that’s less than the specified limit.

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Create a uniformly distributed random unsigned integer that’s less than the specified limit.

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Undocumented

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Undocumented

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Undocumented

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Returns the integer square root of a big integer; i.e., the largest integer whose square isn’t greater than value.

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A type that can represent the distance between two values ofa BigUInt.

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Adds n to self and returns the result. Traps if the result would be less than zero.

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Returns the (potentially negative) difference between self and other as a BigInt. Never traps.

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Initialize a big integer from an ASCII representation in a given radix. Numerals above 9 are represented by","parent_name":"BigUInt"},"Structs/BigUInt.html#/s:6BigInt0A4UIntV20unicodeScalarLiteralACs7UnicodeO0E0V_tcfc":{"name":"init(unicodeScalarLiteral:)","abstract":"

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