From 0c5b5be8562ab5c93f54127bbfcc6fb1b2dab17b Mon Sep 17 00:00:00 2001 From: Andrew Hannon Date: Tue, 10 Oct 2017 10:48:13 -0400 Subject: [PATCH 1/2] Jazzy docs for 3.0.1 --- docs/Extensions.html | 80 +- .../BinaryFloatingPoint.html} | 100 +- docs/Extensions/String.html | 103 +- docs/Functions.html | 164 - docs/Protocols.html | 147 - docs/Protocols/ShiftOperations.html | 243 -- docs/Structs.html | 117 +- docs/Structs/BigInt.html | 1706 +++++++++-- docs/Structs/BigInt/Sign.html | 167 + docs/Structs/BigInt/Words.html | 240 ++ docs/Structs/BigUInt.html | 2726 +++++------------ docs/Structs/BigUInt/Words.html | 182 ++ docs/badge.svg | 1 + docs/css/jazzy.css | 39 + .../Resources/Documents/Extensions.html | 80 +- .../Extensions/BinaryFloatingPoint.html} | 100 +- .../Documents/Extensions/String.html | 103 +- .../Resources/Documents/Functions.html | 164 - .../Resources/Documents/Protocols.html | 147 - .../Documents/Protocols/ShiftOperations.html | 243 -- .../Contents/Resources/Documents/Structs.html | 117 +- .../Resources/Documents/Structs/BigInt.html | 1706 +++++++++-- .../Documents/Structs/BigInt/Sign.html | 167 + .../Documents/Structs/BigInt/Words.html | 240 ++ .../Resources/Documents/Structs/BigUInt.html | 2726 +++++------------ .../Documents/Structs/BigUInt/Words.html | 182 ++ .../Resources/Documents/css/jazzy.css | 39 + .../Resources/Documents/img/spinner.gif | Bin 0 -> 1849 bytes .../Contents/Resources/Documents/index.html | 161 +- .../Contents/Resources/Documents/js/jazzy.js | 6 + .../Resources/Documents/js/jazzy.search.js | 62 + .../Resources/Documents/js/lunr.min.js | 6 + .../Documents/js/typeahead.jquery.js | 1538 ++++++++++ .../Contents/Resources/Documents/search.json | 1 + .../Resources/Documents/undocumented.json | 6 - .../Contents/Resources/docSet.dsidx | Bin 45056 -> 49152 bytes docs/docsets/BigInt.tgz | Bin 81351 -> 104951 bytes docs/docsets/BigInt.xml | 2 +- docs/img/spinner.gif | Bin 0 -> 1849 bytes docs/index.html | 161 +- docs/js/jazzy.js | 6 + docs/js/jazzy.search.js | 62 + docs/js/lunr.min.js | 6 + docs/js/typeahead.jquery.js | 1538 ++++++++++ docs/search.json | 1 + docs/undocumented.json | 122 +- 46 files changed, 9618 insertions(+), 6089 deletions(-) rename docs/{docsets/BigInt.docset/Contents/Resources/Documents/Structs/DigitIterator.html => Extensions/BinaryFloatingPoint.html} (50%) delete mode 100644 docs/Functions.html delete mode 100644 docs/Protocols.html delete mode 100644 docs/Protocols/ShiftOperations.html create mode 100644 docs/Structs/BigInt/Sign.html create mode 100644 docs/Structs/BigInt/Words.html create mode 100644 docs/Structs/BigUInt/Words.html create mode 100644 docs/badge.svg rename docs/{Structs/DigitIterator.html => docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html} (50%) delete mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Functions.html delete mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols.html delete mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols/ShiftOperations.html create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Sign.html create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Words.html create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt/Words.html create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/img/spinner.gif create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/js/jazzy.search.js create mode 100755 docs/docsets/BigInt.docset/Contents/Resources/Documents/js/lunr.min.js create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/js/typeahead.jquery.js create mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/search.json delete mode 100644 docs/docsets/BigInt.docset/Contents/Resources/Documents/undocumented.json create mode 100644 docs/img/spinner.gif create mode 100644 docs/js/jazzy.search.js create mode 100755 docs/js/lunr.min.js create mode 100644 docs/js/typeahead.jquery.js create mode 100644 docs/search.json diff --git a/docs/Extensions.html b/docs/Extensions.html index 8f89273..b9203ad 100644 --- a/docs/Extensions.html +++ b/docs/Extensions.html @@ -8,6 +8,9 @@ + + + @@ -19,18 +22,24 @@ BigInt Docs - (100% documented) + (92% documented) +

+ +

+

+ +

- + View on GitHub

- + Install in Dash @@ -49,38 +58,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -99,13 +101,37 @@

    Extensions

    -
    - - - -

    BigInt

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

      Declaration

      +
      +

      Swift

      + 
      protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
      + +
      +
      +
      +
      +
      • +
    +
    +
    diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/DigitIterator.html b/docs/Extensions/BinaryFloatingPoint.html similarity index 50% rename from docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/DigitIterator.html rename to docs/Extensions/BinaryFloatingPoint.html index 3a0c17d..648ecee 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/DigitIterator.html +++ b/docs/Extensions/BinaryFloatingPoint.html @@ -1,37 +1,46 @@ - DigitIterator Struct Reference + BinaryFloatingPoint Extension Reference + + + - + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - DigitIterator Struct Reference + BinaryFloatingPoint Extension Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -91,15 +93,14 @@
    -

    DigitIterator

    +

    BinaryFloatingPoint

    - 
    public struct DigitIterator<Digit>: IteratorProtocol
    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    -

    State for iterating through the digits of a big integer.

    - +
    @@ -110,9 +111,39 @@

    DigitIterator

  • - - - next() + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:)
    @@ -120,20 +151,19 @@

    DigitIterator

    -

    Return the next digit in the integer, or nil if there are no more digits. -Returned digits range from least to most significant.

    +

    Undocumented

    Declaration

    Swift

    - 
    public mutating func next() -> Digit?
    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    - Show on GitHub + Show on GitHub
    @@ -146,8 +176,8 @@

    Declaration

    • -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/Extensions/String.html b/docs/Extensions/String.html index 64c808e..3b61515 100644 --- a/docs/Extensions/String.html +++ b/docs/Extensions/String.html @@ -8,6 +8,9 @@ + + + @@ -20,18 +23,24 @@ BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -50,38 +59,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -109,9 +111,9 @@

    String

  • - - - init(_:radix:uppercase:) + + + init(_:)
    @@ -119,20 +121,10 @@

    String

    -

    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 - -
    - +

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

    Complexity

    - O(count) when radix is a power of two; otherwise O(count^2). + O(v.count^2)
    @@ -141,26 +133,22 @@

    String

    Declaration

    Swift

    - 
    public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
    + 
    public init(_ v: BigUInt)
    - Show on GitHub + Show on GitHub
    • - - -
    -
    • @@ -168,11 +156,18 @@

      Declaration

      -

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

      +

      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(v.count^2) + O(count) when radix is a power of two; otherwise O(count^2).
      @@ -181,12 +176,12 @@

      Declaration

      Declaration

      Swift

      - 
      public init(_ v: BigUInt)
      + 
      public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
      - Show on GitHub + Show on GitHub
      @@ -194,9 +189,9 @@

      Declaration

    • @@ -204,17 +199,15 @@

      Declaration

      -

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

      +

      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). @@ -226,12 +219,12 @@

      Declaration

      Declaration

      Swift

      - 
      public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
      + 
      public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
      - Show on GitHub + Show on GitHub
      @@ -244,8 +237,8 @@

      Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/Functions.html b/docs/Functions.html deleted file mode 100644 index 5293bae..0000000 --- a/docs/Functions.html +++ /dev/null @@ -1,164 +0,0 @@ - - - - Functions Reference - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - Functions Reference -

    - -
    - -
    - -
    -
    -

    Functions

    -

    The following functions are available globally.

    - -
    -
    - -
    -
    -
    -
    - - - -

    Square Root

    -     -
    -
      -
    • -
      - - - - sqrt(_:) - -
      -
      -
      -
      -
      -
      -

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

      - -
      -

      Returns

      - floor(sqrt(value)) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func sqrt(_ value: BigUInt) -> BigUInt
      - -
      -
      -
      -

      Return Value

      -

      floor(sqrt(value))

      - -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    -
    - - - diff --git a/docs/Protocols.html b/docs/Protocols.html deleted file mode 100644 index c7b5757..0000000 --- a/docs/Protocols.html +++ /dev/null @@ -1,147 +0,0 @@ - - - - Protocols Reference - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - Protocols Reference -

    - -
    - -
    - -
    -
    -

    Protocols

    -

    The following protocols are available globally.

    - -
    -
    - -
    -
    -
    -
      -
    • -
      - - - - ShiftOperations - -
      -
      -
      -
      -
      -
      -

      Describes a type that supports all the standard shift operators.

      - - See more -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public protocol ShiftOperations
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    -
    - - - diff --git a/docs/Protocols/ShiftOperations.html b/docs/Protocols/ShiftOperations.html deleted file mode 100644 index 10f600f..0000000 --- a/docs/Protocols/ShiftOperations.html +++ /dev/null @@ -1,243 +0,0 @@ - - - - ShiftOperations Protocol Reference - - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - ShiftOperations Protocol Reference -

    - -
    - -
    - -
    -
    -

    ShiftOperations

    -
    -
    - 
    public protocol ShiftOperations
    - -
    -
    -

    Describes a type that supports all the standard shift operators.

    - -
    -
    - -
    -
    -
    -
      -
    • -
      - - - - <<(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the left and return the result.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func <<(a: Self, b: Self) -> Self
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - >>(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the right and return the result.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func >>(a: Self, b: Self) -> Self
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - <<=(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the left and store the result in a.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func <<=(a: inout Self, b: Self)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - >>=(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the right and store the result in a.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func >>=(a: inout Self, b: Self)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    -
    - - - diff --git a/docs/Structs.html b/docs/Structs.html index 9f22d91..366be84 100644 --- a/docs/Structs.html +++ b/docs/Structs.html @@ -1,36 +1,45 @@ - Structs Reference + Structures Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -40,7 +49,7 @@

    BigInt Reference - Structs Reference + Structures Reference

    @@ -49,38 +58,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -90,8 +92,8 @@
    -

    Structs

    -

    The following structs are available globally.

    +

    Structures

    +

    The following structures are available globally.

    @@ -103,9 +105,9 @@

    Structs

  • - + - BigUInt + BigUInt
    @@ -115,24 +117,11 @@

    Structs

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

    -

    Operations on big integers never overflow, but they might take a long time to execute. +

    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 implements a mutable collection of its UInt64 digits, with the -digit at index 0 being the least significant.

    - -

    To make memory management simple, BigUInt allows you to subscript it with out-of-bounds indexes: -the subscript getter zero-extends the digit sequence, while the subscript setter automatically extends the -underlying storage when necessary:

    - -
    var number = BigUInt(1)
-number[42]                // Not an error, returns 0
-number[23] = 1            // Not an error, number is now 2^1472 + 1.
-
    - -

    Note that it is rarely a good idea to use big integers as collections; in the vast majority of cases it is much -easier to work with the provided high-level methods and operators rather than with raw big digits.

    +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    See more
    @@ -140,43 +129,12 @@

    Structs

    Declaration

    Swift

    - 
    public struct BigUInt
    - -
    -
    -
    - Show on GitHub -
    -
    • - - -
  • -
    - - - - DigitIterator - -
    -
    -
    -
    -
    -
    -

    State for iterating through the digits of a big integer.

    - - See more -
    -
    -

    Declaration

    -
    -

    Swift

    - 
    public struct DigitIterator<Digit>: IteratorProtocol
    + 
    public struct BigUInt: UnsignedInteger
    - Show on GitHub + Show on GitHub
    @@ -195,9 +153,9 @@

    BigInt

  • - + - BigInt + BigInt
    @@ -218,7 +176,6 @@

    BigInt

    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).abs.isPrime()   // Returns false
    @@ -228,12 +185,12 @@

    BigInt

    Declaration

    Swift

    - 
    public struct BigInt
    + 
    public struct BigInt: SignedInteger
    - Show on GitHub + Show on GitHub
    @@ -246,8 +203,8 @@

    Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/Structs/BigInt.html b/docs/Structs/BigInt.html index ea945cc..7bc104a 100644 --- a/docs/Structs/BigInt.html +++ b/docs/Structs/BigInt.html @@ -1,37 +1,46 @@ - BigInt Struct Reference + BigInt Structure Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - BigInt Struct Reference + BigInt Structure Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -94,7 +96,7 @@

    BigInt

    - 
    public struct BigInt
    + 
    public struct BigInt: SignedInteger
    @@ -111,7 +113,6 @@

    BigInt

    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).abs.isPrime()   // Returns false
    @@ -125,9 +126,9 @@

    BigInt

  • - - - abs + + + Sign
    @@ -135,19 +136,20 @@

    BigInt

    -

    The absolute value of this integer.

    +

    Undocumented

    + See more

    Declaration

    Swift

    - 
    public var abs: BigUInt
    + 
    public struct BigInt: SignedInteger
    - Show on GitHub + Show on GitHub
    @@ -155,9 +157,9 @@

    Declaration

  • - - - Digit + + + Word
    @@ -165,19 +167,19 @@

    Declaration

    -

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

    +

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

    Declaration

    Swift

    - 
    public typealias Digit = BigUInt.Digit
    + 
    public typealias Word = BigUInt.Word
    - Show on GitHub + Show on GitHub
    @@ -185,9 +187,9 @@

    Declaration

  • - - - negative + + + isSigned
    @@ -195,19 +197,18 @@

    Declaration

    -

    True iff the value of this integer is negative.

    - +

    Declaration

    Swift

    - 
    public var negative: Bool
    + 
    public static var isSigned: Bool
    - Show on GitHub + Show on GitHub
    @@ -215,9 +216,9 @@

    Declaration

  • @@ -225,19 +226,19 @@

    Declaration

    -

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

    +

    The absolute value of this integer.

    Declaration

    Swift

    - 
    public init(abs: BigUInt, negative: Bool = false)
    + 
    public var magnitude: BigUInt
    - Show on GitHub + Show on GitHub
    @@ -245,9 +246,9 @@

    Declaration

  • - - - init(_:) + + + sign
    @@ -255,19 +256,19 @@

    Declaration

    -

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

    +

    True iff the value of this integer is negative.

    Declaration

    Swift

    - 
    public init<I: UnsignedInteger>(_ integer: I)
    + 
    public var sign: Sign
    - Show on GitHub + Show on GitHub
    @@ -275,9 +276,9 @@

    Declaration

  • @@ -285,19 +286,19 @@

    Declaration

    -

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

    +

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

    Declaration

    Swift

    - 
    public init<I: SignedInteger>(_ integer: I)
    + 
    public init(sign: Sign, magnitude: BigUInt)
    - Show on GitHub + Show on GitHub
    @@ -305,9 +306,9 @@

    Declaration

  • - - - init(_:) + + + isZero
    @@ -315,33 +316,34 @@

    Declaration

    -

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

    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +

    Declaration

    Swift

    - 
    public init(_ integer: BigUInt)
    + 
    public var isZero: Bool
    - Show on GitHub + Show on GitHub
    • - -
    -
    -
    • - - - init(_:radix:) + + + signum()
      @@ -349,49 +351,23 @@

      Declaration

      -

      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 - -
      - -
      -

      Parameter

      - Parameter text: A string optionally starting with - or + followed by characters corresponding to numerals in the given radix. (0-9, a-z, A-Z) - -
      - -
      -

      Parameter

      - Parameter radix: The base of the number system to use, or 10 if unspecified. - -
      - -
      -

      Returns

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

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

      Declaration

      Swift

      - 
      public init?(_ text: String, radix: Int = 10)
      + 
      public func signum() -> BigInt

      Return Value

      -

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

      - +

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

      - Show on GitHub + Show on GitHub
      @@ -403,9 +379,9 @@

      Return Value

    • - - - description + + + ~(_:)
      @@ -413,33 +389,28 @@

      Return Value

      -

      Return the decimal representation of this integer.

      - +

      Declaration

      Swift

      - 
      public var description: String
      + 
      public static prefix func ~(x: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -447,33 +418,29 @@

      Declaration

      -

      Initialize a new big integer from an integer literal.

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(integerLiteral value: IntMax)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -481,20 +448,19 @@

      Declaration

      -

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

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(unicodeScalarLiteral value: UnicodeScalar)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -502,9 +468,9 @@

      Declaration

    • @@ -512,20 +478,19 @@

      Declaration

      -

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

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(extendedGraphemeClusterLiteral value: String)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -533,9 +498,9 @@

      Declaration

    • @@ -543,34 +508,28 @@

      Declaration

      -

      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)
      + 
      public static func &=(lhs: inout BigInt, rhs: BigInt)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -578,19 +537,47 @@

      Declaration

      -

      Return the playground quick look representation of this integer.

      + +
      +
      +

      Declaration

      +
      +

      Swift

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

      Declaration

      Swift

      - 
      public var customPlaygroundQuickLook: PlaygroundQuickLook
      + 
      public static func ^=(lhs: inout BigInt, rhs: BigInt)
      - Show on GitHub + Show on GitHub
      @@ -598,13 +585,20 @@

      Declaration

    +
    + + + +

    Primality Testing

    +     +
    • @@ -612,19 +606,19 @@

      Declaration

      -

      Return true iff a is equal to b.

      +

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

      Declaration

      Swift

      - 
      public static func ==(a: BigInt, b: BigInt) -> Bool
      + 
      public func isStrongProbablePrime(_ base: BigInt) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -632,9 +626,9 @@

      Declaration

    • @@ -642,19 +636,29 @@

      Declaration

      -

      Return true iff a is less than b.

      +

      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 static func <(a: BigInt, b: BigInt) -> Bool
      + 
      public func isPrime(rounds: Int = 10) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -666,9 +670,9 @@

      Declaration

    • @@ -676,19 +680,47 @@

      Declaration

      -

      Append this BigInt to the specified hasher.

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var bitWidth: Int
      +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + trailingZeroBitCount + +
      +
      +
      +
      +
      +
      +

      Declaration

      Swift

      - 
      public func appendHashes(to hasher: inout SipHasher)
      + 
      public var trailingZeroBitCount: Int
      - Show on GitHub + Show on GitHub
      @@ -700,9 +732,9 @@

      Declaration

    • - - - advanced(by:) + + + Words
      @@ -710,19 +742,19 @@

      Declaration

      -

      Returns self + n.

      - + + See more

      Declaration

      Swift

      - 
      public func advanced(by n: Stride) -> BigInt
      + 
      public struct Words: RandomAccessCollection
      - Show on GitHub + Show on GitHub
      @@ -730,9 +762,9 @@

      Declaration

    • - - - Stride + + + words
      @@ -740,19 +772,18 @@

      Declaration

      -

      A type that can represent the distance between two values of BigInt.

      - +

      Declaration

      Swift

      - 
      public typealias Stride = BigInt
      + 
      public var words: Words
      - Show on GitHub + Show on GitHub
      @@ -760,9 +791,9 @@

      Declaration

    • @@ -770,19 +801,19 @@

      Declaration

      -

      Returns other - self.

      +

      Undocumented

      Declaration

      Swift

      - 
      public func distance(to other: BigInt) -> Stride
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -794,9 +825,9 @@

      Declaration

    • - - - -(_:) + + + appendHashes(to:)
      @@ -804,29 +835,33 @@

      Declaration

      -

      Negate a and return the result.

      +

      Append this BigInt to the specified hasher.

      Declaration

      Swift

      - 
      public static prefix func -(a: BigInt) -> BigInt
      + 
      public func appendHashes(to hasher: inout SipHasher)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - -(_:_:) + + + init(exactly:)
      @@ -834,33 +869,28 @@

      Declaration

      -

      Subtract b from a and return the result.

      - +

      Declaration

      Swift

      - 
      public static func -(a: BigInt, b: BigInt) -> BigInt
      + 
      public init?<T: BinaryFloatingPoint>(exactly source: T)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • - - - abs(_:) + + + init(_:)
      @@ -868,19 +898,18 @@

      Declaration

      -

      Returns the absolute value of x.

      - +

      Declaration

      Swift

      - 
      public static func abs(_ x: BigInt) -> BigInt
      + 
      public init<T: BinaryFloatingPoint>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -892,9 +921,9 @@

      Declaration

    • - - - toIntMax() + + + negate()
      @@ -902,19 +931,18 @@

      Declaration

      -

      Explicitly convert to IntMax, trapping on overflow.

      - +

      Declaration

      Swift

      - 
      public func toIntMax() -> IntMax
      + 
      public mutating func negate()
      - Show on GitHub + Show on GitHub
      @@ -922,9 +950,9 @@

      Declaration

    • - - - +(_:_:) + + + -(_:_:)
      @@ -932,19 +960,19 @@

      Declaration

      -

      Add a to b and return the result.

      +

      Subtract b from a and return the result.

      Declaration

      Swift

      - 
      public static func +(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func -(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -952,9 +980,9 @@

      Declaration

    • - - - *(_:_:) + + + -=(_:_:)
      @@ -962,29 +990,33 @@

      Declaration

      -

      Multiply a with b and return the result.

      +

      Subtract b from a in place.

      Declaration

      Swift

      - 
      public static func *(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func -=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -992,19 +1024,33 @@

      Declaration

      -

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

      +

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

      +
      +

      Requires

      + y > 0 + +
      +
      +

      Complexity

      + O(count^2) + +

      Declaration

      Swift

      - 
      public static func /(a: BigInt, b: BigInt) -> BigInt
      + 
      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 + Show on GitHub
      @@ -1012,9 +1058,9 @@

      Declaration

    • - - - %(_:_:) + + + /(_:_:)
      @@ -1022,19 +1068,19 @@

      Declaration

      -

      Divide a by b and return the remainder.

      +

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

      Declaration

      Swift

      - 
      public static func %(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func /(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -1042,9 +1088,9 @@

      Declaration

    • @@ -1052,19 +1098,19 @@

      Declaration

      -

      Adds lhs and rhs together. An overflow is never reported.

      +

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

      Declaration

      Swift

      - 
      public static func addWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func %(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -1072,9 +1118,9 @@

      Declaration

    • @@ -1082,29 +1128,33 @@

      Declaration

      -

      Subtracts rhs from lhs. An overflow is never reported.

      +

      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 static func subtractWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public func modulus(_ mod: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -1112,19 +1162,19 @@

      Declaration

      -

      Multiplies lhs with rhs. An overflow is never reported.

      +

      Divide a by b storing the quotient in a.

      Declaration

      Swift

      - 
      public static func multiplyWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func /=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      @@ -1132,9 +1182,9 @@

      Declaration

    • @@ -1142,29 +1192,33 @@

      Declaration

      -

      Divides lhs with rhs, returning the quotient, or trapping if rhs is zero. An overflow is never reported.

      +

      Divide a by b storing the remainder in a.

      Declaration

      Swift

      - 
      public static func divideWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func %=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -1172,33 +1226,29 @@

      Declaration

      -

      Divides lhs with rhs, returning the remainder, or trapping if rhs is zero. An overflow is never reported.

      +

      Undocumented

      Declaration

      Swift

      - 
      public static func remainderWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • - - - +=(_:_:) + + + init(_:)
      @@ -1206,19 +1256,19 @@

      Declaration

      -

      Add b to a in place.

      +

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

      Declaration

      Swift

      - 
      public static func +=(a: inout BigInt, b: BigInt)
      + 
      public init(_ integer: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1226,9 +1276,9 @@

      Declaration

    • - - - -=(_:_:) + + + init(_:)
      @@ -1236,19 +1286,18 @@

      Declaration

      -

      Subtract b from a in place.

      - +

      Declaration

      Swift

      - 
      public static func -=(a: inout BigInt, b: BigInt)
      + 
      public init<T>(_ source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1256,9 +1305,9 @@

      Declaration

    • - - - *=(_:_:) + + + init(exactly:)
      @@ -1266,19 +1315,18 @@

      Declaration

      -

      Multiply a with b in place.

      - +

      Declaration

      Swift

      - 
      public static func *=(a: inout BigInt, b: BigInt)
      + 
      public init?<T>(exactly source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1286,9 +1334,9 @@

      Declaration

    • @@ -1296,19 +1344,18 @@

      Declaration

      -

      Divide a by b storing the quotient in a.

      - +

      Declaration

      Swift

      - 
      public static func /=(a: inout BigInt, b: BigInt)
      + 
      public init<T>(clamping source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1316,9 +1363,9 @@

      Declaration

    • @@ -1326,19 +1373,1040 @@

      Declaration

      -

      Divide a by b storing the remainder in a.

      - +

      Declaration

      Swift

      - 
      public static func %=(a: inout BigInt, b: BigInt)
      + 
      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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + ==(_:_:) + +
      +
      +
      +
      +
      +
      +

      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(_: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: StringProtocol>(_ text: S, radix: Int = 10)
      + +
      +
      +
      +

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

      Return the playground quick look representation of this integer.

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var customPlaygroundQuickLook: PlaygroundQuickLook
      + +
      +
      +
      + 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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + 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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + &<<(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &<<=(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &>>(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &>>=(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + <<(_:_:) + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      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 + Show on GitHub
      @@ -1351,8 +2419,8 @@

      Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/Structs/BigInt/Sign.html b/docs/Structs/BigInt/Sign.html new file mode 100644 index 0000000..2db1db2 --- /dev/null +++ b/docs/Structs/BigInt/Sign.html @@ -0,0 +1,167 @@ + + + + Sign Enumeration Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Sign Enumeration Reference +

    + +
    + +
    + +
    +
    +

    Sign

    +

    Undocumented

    + +
    +
    + +
    +
    +
    + +
    +
    + +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    +
    + + + diff --git a/docs/Structs/BigInt/Words.html b/docs/Structs/BigInt/Words.html new file mode 100644 index 0000000..ba949c1 --- /dev/null +++ b/docs/Structs/BigInt/Words.html @@ -0,0 +1,240 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Words Structure Reference +

    + +
    + +
    + +
    +
    +

    Words

    +
    +
    + 
    public struct Words: RandomAccessCollection
    + +
    +
    + +
    +
    + +
    +
    +
    +
      +
    • +
      + + + + count + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var count: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + indices + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var indices: Indices
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + startIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var startIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + endIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var endIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    +
    + + + diff --git a/docs/Structs/BigUInt.html b/docs/Structs/BigUInt.html index fc1a300..8c502f7 100644 --- a/docs/Structs/BigUInt.html +++ b/docs/Structs/BigUInt.html @@ -1,37 +1,46 @@ - BigUInt Struct Reference + BigUInt Structure Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - BigUInt Struct Reference + BigUInt Structure Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -94,30 +96,17 @@

    BigUInt

    - 
    public struct BigUInt
    + 
    public struct BigUInt: UnsignedInteger

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

    -

    Operations on big integers never overflow, but they might take a long time to execute. +

    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 implements a mutable collection of its UInt64 digits, with the -digit at index 0 being the least significant.

    - -

    To make memory management simple, BigUInt allows you to subscript it with out-of-bounds indexes: -the subscript getter zero-extends the digit sequence, while the subscript setter automatically extends the -underlying storage when necessary:

    - -
    var number = BigUInt(1)
-number[42]                // Not an error, returns 0
-number[23] = 1            // Not an error, number is now 2^1472 + 1.
-
    - -

    Note that it is rarely a good idea to use big integers as collections; in the vast majority of cases it is much -easier to work with the provided high-level methods and operators rather than with raw big digits.

    +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    @@ -129,9 +118,9 @@

    BigUInt

  • - - - Digit + + + Word
    @@ -139,19 +128,19 @@

    BigUInt

    -

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

    +

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

    Declaration

    Swift

    - 
    public typealias Digit = UIntMax
    + 
    public typealias Word = UInt
    - Show on GitHub + Show on GitHub
    @@ -159,9 +148,9 @@

    Declaration

  • - + - init() + init()
    @@ -181,7 +170,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -189,9 +178,9 @@

    Declaration

  • - - - init(_:) + + + init(words:)
    @@ -206,22 +195,26 @@

    Declaration

    Declaration

    Swift

    - 
    public init(_ digits: [Digit])
    + 
    public init(words: [Word])
    - Show on GitHub + Show on GitHub
    • + + +
    +
    • - - - init(_:) + + + ~(_:)
      @@ -229,19 +222,24 @@

      Declaration

      -

      Initializes a new BigUInt that has the supplied value.

      +

      Return the ones’ complement of a.

      +
      +

      Complexity

      + O(a.count) + +

      Declaration

      Swift

      - 
      public init<I: UnsignedInteger>(_ integer: I)
      + 
      public static prefix func ~(a: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -249,9 +247,9 @@

      Declaration

    • - - - init(_:) + + + |=(_:_:)
      @@ -259,11 +257,10 @@

      Declaration

      -

      Initializes a new BigUInt that has the supplied value.

      - -
      -

      Requires

      - integer >= 0 +

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

      +
      +

      Complexity

      + O(max(a.count, b.count))
      @@ -272,33 +269,22 @@

      Declaration

      Declaration

      Swift

      - 
      public init<I: SignedInteger>(_ integer: I)
      + 
      public static func |= (a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    - - - -

    Bitwise Operations

    -     -
    -
    • - - - allZeros + + + &=(_:_:)
      @@ -306,19 +292,24 @@

      Bitwise Operations

      -

      The empty bitset.

      +

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

      +
      +

      Complexity

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

      Declaration

      Swift

      - 
      public static let allZeros: BigUInt = 0
      + 
      public static func &= (a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -326,9 +317,9 @@

      Declaration

    • - - - width + + + ^=(_:_:)
      @@ -336,17 +327,10 @@

      Declaration

      -

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

      - -
      -

      Returns

      - floor(log2(2 * self + 1)) - -
      - +

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

      Complexity

      - O(1) + O(max(a.count, b.count))
      @@ -355,27 +339,33 @@

      Declaration

      Declaration

      Swift

      - 
      public var width: Int
      + 
      public static func ^= (a: inout BigUInt, b: BigUInt)
      -
      -

      Return Value

      -

      floor(log2(2 * self + 1))

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

    Random Integers

    +     +
    +
    • @@ -383,30 +373,10 @@

      Return Value

      -

      The number of leading zero bits in the binary representation of this integer in base 2^Digit.width. -This is useful when you need to normalize a BigUInt such that the top bit of its most significant digit is 1.

      - +

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

      Note

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

      Returns

      - A value in 0...(Digit.width - 1). - -
      - -
      -

      See also

      - width - -
      - -
      -

      Complexity

      - O(1) + This function uses arc4random_buf to generate random bits.
      @@ -415,17 +385,16 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      -

      A value in 0...(Digit.width - 1).

      - +

      A big integer less than 1 << width.

      - Show on GitHub + Show on GitHub
      @@ -433,9 +402,9 @@

      Return Value

    • @@ -443,23 +412,10 @@

      Return Value

      -

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

      - +

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

      Note

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

      Returns

      - A value in 0...width. - -
      - -
      -

      Complexity

      - O(count) + This function uses arc4random_buf to generate random bits.
      @@ -468,17 +424,16 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      -

      A value in 0...width.

      - +

      A random big integer whose width is width.

      - Show on GitHub + Show on GitHub
      @@ -486,9 +441,9 @@

      Return Value

    • @@ -496,11 +451,10 @@

      Return Value

      -

      Return the ones’ complement of a.

      - -
      -

      Complexity

      - O(a.count) +

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

      +
      +

      Note

      + This function uses arc4random_buf to generate random bits.
      @@ -509,22 +463,37 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      +

      A random big integer that is less than limit.

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

    Primality Testing

    +     +
    +
    • @@ -532,25 +501,19 @@

      Declaration

      -

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

      - -
      -

      Complexity

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

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

      Declaration

      Swift

      - 
      public static func | (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public func isStrongProbablePrime(_ base: BigUInt) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -558,9 +521,9 @@

      Declaration

    • @@ -568,35 +531,43 @@

      Declaration

      -

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

      +

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

      -
      -

      Complexity

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

      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 static func & (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public func isPrime(rounds: Int = 10) -> Bool
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - ^(_:_:) + + + bitWidth
      @@ -604,11 +575,10 @@

      Declaration

      -

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

      - +

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

      Complexity

      - O(max(a.count, b.count)) + O(1)
      @@ -617,12 +587,16 @@

      Declaration

      Declaration

      Swift

      - 
      public static func ^ (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public var bitWidth: Int
      +
      +

      Return Value

      +

      floor(log2(2 * self + 1))

      +
      - Show on GitHub + Show on GitHub
      @@ -630,9 +604,9 @@

      Declaration

    • @@ -640,11 +614,21 @@

      Declaration

      -

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

      +

      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(max(a.count, b.count)) + O(1)
      @@ -653,12 +637,16 @@

      Declaration

      Declaration

      Swift

      - 
      public static func |= (a: inout BigUInt, b: BigUInt)
      + 
      public var leadingZeroBitCount: Int
      +
      +

      Return Value

      +

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

      +
      - Show on GitHub + Show on GitHub
      @@ -666,9 +654,9 @@

      Declaration

    • @@ -676,11 +664,15 @@

      Declaration

      -

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

      +

      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(max(a.count, b.count)) + O(count)
      @@ -689,22 +681,30 @@

      Declaration

      Declaration

      Swift

      - 
      public static func &= (a: inout BigUInt, b: BigUInt)
      + 
      public var trailingZeroBitCount: Int
      +
      +

      Return Value

      +

      A value in 0...width.

      +
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - ^=(_:_:) + + + Words
      @@ -712,46 +712,29 @@

      Declaration

      -

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

      - -
      -

      Complexity

      - O(max(a.count, b.count)) - -
      - + + See more

      Declaration

      Swift

      - 
      public static func ^= (a: inout BigUInt, b: BigUInt)
      + 
      public struct Words: RandomAccessCollection
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    - - - -

    Random Integers

    -     -
    -
    • @@ -759,36 +742,18 @@

      Random Integers

      -

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

      - -
      -

      Returns

      - A big integer less than 1 << width. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      - +

      Declaration

      Swift

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

      Return Value

      -

      A big integer less than 1 << width.

      - -
      - Show on GitHub + Show on GitHub
      @@ -796,9 +761,9 @@

      Return Value

    • @@ -806,46 +771,40 @@

      Return Value

      -

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

      - -
      -

      Returns

      - A random big integer whose width is width. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      +

      Undocumented

      Declaration

      Swift

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

      Return Value

      -

      A random big integer whose width is width.

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

    Hashing

    +     +
    +
    • @@ -853,36 +812,19 @@

      Return Value

      -

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

      - -
      -

      Returns

      - A random big integer that is less than limit. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      +

      Append this BigUInt to the specified hasher.

      Declaration

      Swift

      - 
      public static func randomIntegerLessThan(_ limit: BigUInt) -> BigUInt
      + 
      public func appendHashes(to hasher: inout SipHasher)
      -
      -

      Return Value

      -

      A random big integer that is less than limit.

      - -
      - Show on GitHub + Show on GitHub
      @@ -890,20 +832,13 @@

      Return Value

    -
    - - - -

    Primality Testing

    -     -
    • @@ -911,19 +846,18 @@

      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
      + 
      public init?<T: BinaryFloatingPoint>(exactly source: T)
      - Show on GitHub + Show on GitHub
      @@ -931,9 +865,9 @@

      Declaration

    • @@ -941,29 +875,18 @@

      Declaration

      -

      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
      + 
      public init<T: BinaryFloatingPoint>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -972,19 +895,19 @@

      Declaration

    - - - -

    Hashing

    +     + + +

    Subtraction
    • @@ -992,40 +915,40 @@

      Hashing

      -

      Append this BigUInt to the specified hasher.

      +

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

    Subtraction

    -     -
    -
    • @@ -1033,15 +956,13 @@

      Subtraction

      -

      Subtract a digit d from this integer in place, returning a flag that is true if the operation -caused an arithmetic overflow. d is shifted shift digits to the left before being subtracted.

      - +

      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 the result is true, then self becomes the two’s complement of the absolute difference. + If overflow is true, then the result value is the twos’ complement of the absolute value of the difference.
      -

      Complexity

      O(count) @@ -1053,12 +974,12 @@

      Subtraction

      Declaration

      Swift

      - 
      public mutating func subtractDigitWithOverflow(_ d: Digit, atPosition shift: Int = 0) -> Bool
      + 
      public func subtractingReportingOverflow(_ other: BigUInt, shiftedBy shift: Int) -> (partialValue: BigUInt, overflow: Bool)
      - Show on GitHub + Show on GitHub
      @@ -1066,9 +987,9 @@

      Declaration

    • @@ -1076,15 +997,12 @@

      Declaration

      -

      Subtract a digit d from this integer, returning the difference and a flag that is true if the operation -caused an arithmetic overflow. d is shifted shift digits to the left before being subtracted.

      - +

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

      Note

      - If overflow is true, then the returned value is the two’s complement of the absolute difference. + When the operation overflows, then partialValue is the twos’ complement of the absolute value of the difference.
      -

      Complexity

      O(count) @@ -1096,12 +1014,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingDigitWithOverflow(_ d: Digit, atPosition shift: Int = 0) -> (BigUInt, overflow: Bool)
      + 
      public func subtractingReportingOverflow(_ other: BigUInt) -> (partialValue: BigUInt, overflow: Bool)
      - Show on GitHub + Show on GitHub
      @@ -1109,9 +1027,9 @@

      Declaration

    • @@ -1119,15 +1037,13 @@

      Declaration

      -

      Subtract a digit d from this integer in place. -d is shifted shift digits to the left before being subtracted.

      - +

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

      Requires

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

      Complexity

      O(count) @@ -1139,12 +1055,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtractDigit(_ d: Digit, atPosition shift: Int = 0)
      + 
      public mutating func subtract(_ other: BigUInt, shiftedBy shift: Int = 0)
      - Show on GitHub + Show on GitHub
      @@ -1152,9 +1068,9 @@

      Declaration

    • @@ -1162,15 +1078,13 @@

      Declaration

      -

      Subtract a digit d from this integer and return the result. -d is shifted shift digits to the left before being subtracted.

      - +

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

      Requires

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

      Complexity

      O(count) @@ -1182,12 +1096,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingDigit(_ d: Digit, atPosition shift: Int = 0) -> BigUInt
      + 
      public func subtracting(_ other: BigUInt, shiftedBy shift: Int = 0) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1195,9 +1109,9 @@

      Declaration

    • @@ -1205,15 +1119,12 @@

      Declaration

      -

      Subtract b from this integer in place, and return true iff the operation caused an -arithmetic overflow. b is shifted shift digits to the left before being subtracted.

      - -
      -

      Note

      - If the result is true, then self becomes the twos’ complement of the absolute difference. +

      Decrement this integer by one.

      +
      +

      Requires

      + !isZero
      -

      Complexity

      O(count) @@ -1225,12 +1136,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtractWithOverflow(_ b: BigUInt, atPosition shift: Int = 0) -> Bool
      + 
      public mutating func decrement(shiftedBy shift: Int = 0)
      - Show on GitHub + Show on GitHub
      @@ -1238,9 +1149,9 @@

      Declaration

    • @@ -1248,18 +1159,15 @@

      Declaration

      -

      Subtract b from this integer, returning the difference and a flag that is true if the operation caused an -arithmetic overflow. b 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. +

      Subtract b from a and return the result.

      +
      +

      Requires

      + a >= b
      -

      Complexity

      - O(count) + O(a.count)
      @@ -1268,12 +1176,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingWithOverflow(_ b: BigUInt, atPosition shift: Int = 0) -> (BigUInt, overflow: Bool)
      + 
      public static func -(a: BigUInt, b: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1281,9 +1189,9 @@

      Declaration

    • @@ -1291,18 +1199,15 @@

      Declaration

      -

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

      - +

      Subtract b from a and store the result in a.

      Requires

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

      Complexity

      - O(count) + O(a.count)
      @@ -1311,22 +1216,33 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtract(_ b: BigUInt, atPosition shift: Int = 0)
      + 
      public static func -=(a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    + + + +

    Division

    +     +
    +
    • @@ -1334,18 +1250,15 @@

      Declaration

      -

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

      - +

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

      Requires

      - self >= b * 2^shift + y > 0
      -

      Complexity

      - O(count) + O(count^2)
      @@ -1354,12 +1267,16 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtracting(_ b: BigUInt, atPosition shift: Int = 0) -> BigUInt
      + 
      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 + Show on GitHub
      @@ -1367,9 +1284,9 @@

      Declaration

    • @@ -1377,17 +1294,10 @@

      Declaration

      -

      Decrement this integer by one.

      - -
      -

      Requires

      - !isZero - -
      - -
      -

      Complexity

      - O(count) +

      Divide x by y and return the quotient.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1396,12 +1306,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func decrement(atPosition shift: Int = 0)
      + 
      public static func /(x: BigUInt, y: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1409,9 +1319,9 @@

      Declaration

    • - - - -(_:_:) + + + %(_:_:)
      @@ -1419,17 +1329,10 @@

      Declaration

      -

      Subtract b from a and return the result.

      - -
      -

      Requires

      - a >= b - -
      - -
      -

      Complexity

      - O(a.count) +

      Divide x by y and return the remainder.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1438,12 +1341,12 @@

      Declaration

      Declaration

      Swift

      - 
      public static func -(a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public static func %(x: BigUInt, y: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1451,9 +1354,9 @@

      Declaration

    • - - - -=(_:_:) + + + /=(_:_:)
      @@ -1461,17 +1364,10 @@

      Declaration

      -

      Subtract b from a and store the result in a.

      - -
      -

      Requires

      - a >= b - -
      - -
      -

      Complexity

      - O(a.count) +

      Divide x by y and store the quotient in x.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1480,12 +1376,12 @@

      Declaration

      Declaration

      Swift

      - 
      public static func -=(a: inout BigUInt, b: BigUInt)
      + 
      public static func /=(x: inout BigUInt, y: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1493,9 +1389,9 @@

      Declaration

    • @@ -1503,20 +1399,24 @@

      Declaration

      -

      Subtracts rhs from lhs, returning the result and a Bool that is true iff the operation caused an arithmetic overflow. -Overflow is returned if and only if lhs is less than rhs, in which case the result is the twos’ complement of the absolute difference.

      +

      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 subtractWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public static func %=(x: inout BigUInt, y: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1524,20 +1424,13 @@

      Declaration

    -
    - - - -

    Division

    -     -
    • @@ -1545,31 +1438,18 @@

      Division

      -

      Divide this integer by the digit y, leaving the quotient in its place and returning the remainder.

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Complexity

      - O(count) - -
      - +

      Declaration

      Swift

      - 
      public mutating func divide(byDigit y: Digit) -> Digit
      + 
      public init?<T: BinaryInteger>(exactly source: T)
      - Show on GitHub + Show on GitHub
      @@ -1577,9 +1457,9 @@

      Declaration

    • @@ -1587,167 +1467,18 @@

      Declaration

      -

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

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Returns

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

      Complexity

      - O(x.count) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func divided(byDigit y: Digit) -> (quotient: BigUInt, remainder: Digit)
      - -
      -
      -
      -

      Return Value

      -

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

      - -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - divided(by:) - -
      -
      -
      -
      -
      -
      -

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

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Returns

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

      Complexity

      - O(count^2) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func divided(by 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
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public init<T: BinaryInteger>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -1755,81 +1486,9 @@

      Declaration

    • - - - /=(_:_:) - -
      -
      -
      -
      -
      -
      -

      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 -
      -
      -
      -
      • -
    • -
      @@ -1837,19 +1496,18 @@

      Declaration

      -

      Divide lhs by rhs, returning the quotient. This function never results in an overflow.

      - +

      Declaration

      Swift

      - 
      public static func divideWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public init<T: BinaryInteger>(truncatingIfNeeded source: T)
      - Show on GitHub + Show on GitHub
      @@ -1857,9 +1515,9 @@

      Declaration

    • @@ -1867,19 +1525,18 @@

      Declaration

      -

      Divide lhs by rhs, returning the remainder. This function never results in an overflow.

      - +

      Declaration

      Swift

      - 
      public static func remainderWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public init<T: BinaryInteger>(clamping source: T)
      - Show on GitHub + Show on GitHub
      @@ -1887,20 +1544,13 @@

      Declaration

    -
    - - - -

    Init from Integer literals

    -     -
    - Show on GitHub + Show on GitHub
    @@ -1928,20 +1578,13 @@

    Declaration

    -
    - - - -

    Init from String literals

    -     -
    • @@ -1949,20 +1592,18 @@

      Init from String literals

      -

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

      - +

      Declaration

      Swift

      - 
      public init(unicodeScalarLiteral value: UnicodeScalar)
      + 
      public static var isSigned: Bool
      - Show on GitHub + Show on GitHub
      @@ -1970,9 +1611,9 @@

      Declaration

    • @@ -1980,51 +1621,23 @@

      Declaration

      -

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

      +

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

      Declaration

      Swift

      - 
      public init(extendedGraphemeClusterLiteral value: String)
      + 
      public func signum() -> BigUInt
      -
      - 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)
      - -
      +
      +

      Return Value

      +

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

      - Show on GitHub + Show on GitHub
      @@ -2032,13 +1645,20 @@

      Declaration

    +
    + + + +

    Collection-like members

    +     +
    • @@ -2046,576 +1666,63 @@

      Declaration

      -

      Explicitly convert to IntMax, trapping on overflow.

      +

      Get or set a digit at a given index.

      +
      +

      Note

      + Unlike a normal collection, it is OK for the index to be greater than or equal to endIndex. +The subscripting getter returns zero for indexes beyond the most significant digit. +Setting these extended digits automatically appends new elements to the underlying digit array. -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func toIntMax() -> IntMax
      +
      +
      +

      Requires

      + index >= 0 -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - - - -

    Collection

    -     -
    -
      -
    • -
      - - - - Iterator - -
      -
      -
      -
      -
      -
      -

      The type representing the iteration interface for the digits in a big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Iterator = DigitIterator<Digit>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - Indices - -
      -
      -
      -
      -
      -
      -

      The type representing valid indices for subscripting the collection.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Indices = CountableRange<Int>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - SubSequence - -
      -
      -
      -
      -
      -
      -

      Big integers can be contiguous digit subranges of another big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias SubSequence = BigUInt
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - subscript(_:) - -
      -
      -
      -
      -
      -
      -

      Get or set a digit at a given index.

      - -
      -

      Note

      - Unlike a normal collection, it is OK for the index to be greater than or equal to endIndex. -The subscripting getter returns zero for indexes beyond the most significant digit. -Setting these extended digits automatically appends new elements to the underlying digit array. - -
      - -
      -

      Requires

      - index >= 0 - -
      - -
      -

      Complexity

      - The getter is O(1). The setter is O(1) if the conditions below are true; otherwise it’s O(count). - -
        -
      • The integer’s storage is not shared with another integer
        • -
      • The integer wasn’t created as a slice of another integer
        • -
      • index < count
        • -
      - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public subscript(index: Int) -> Digit
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - subscript(_:) - -
      -
      -
      -
      -
      -
      -

      Returns an integer built from the digits of this integer in the given range.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public subscript(bounds: Range<Int>) -> BigUInt
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - IndexDistance - -
      -
      -
      -
      -
      -
      -

      The type representing the number of steps between two indices.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias IndexDistance = Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - Index - -
      -
      -
      -
      -
      -
      -

      Big integers implement Collection to provide access to their big digits, indexed by integers; a zero index refers to the least significant digit.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Index = Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - indices - -
      -
      -
      -
      -
      -
      -

      Big integers can be contiguous digit subranges of another big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var indices: Indices
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - startIndex - -
      -
      -
      -
      -
      -
      -

      The index of the first digit, starting from the least significant. (This is always zero.)

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var startIndex: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - endIndex - -
      -
      -
      -
      -
      -
      -

      The index of the digit after the most significant digit in this integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var endIndex: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - count - -
      -
      -
      -
      -
      -
      -

      The number of digits in this integer, excluding leading zero digits.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var count: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - makeIterator() - -
      -
      -
      -
      -
      -
      -

      Return a generator over the digits of this integer, starting at the least significant digit.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func makeIterator() -> DigitIterator<Digit>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(after:) - -
      -
      -
      -
      -
      -
      -

      Returns the position immediately after the given index.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func index(after i: Int) -> Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(before:) - -
      -
      -
      -
      -
      -
      -

      Returns the position immediately before the given index.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func index(before i: Int) -> Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - formIndex(after:) - -
      -
      -
      -
      -
      -
      -

      Replaces the given index with its successor.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func formIndex(after i: inout Int)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - formIndex(before:) - -
      -
      -
      -
      -
      -
      -

      Replaces the given index with its predecessor.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func formIndex(before i: inout Int)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(_:offsetBy:) - -
      -
      -
      -
      -
      -
      -

      Returns an index that is the specified distance from the given index.

      +
      +
      +

      Complexity

      + The getter is O(1). The setter is O(1) if the conditions below are true; otherwise it’s O(count). + +
        +
      • The integer’s storage is not shared with another integer
        • +
      • The integer wasn’t created as a slice of another integer
        • +
      • index < count
        • +
      + +

      Declaration

      Swift

      - 
      public func index(_ i: Int, offsetBy n: Int) -> Int
      + 
      subscript(_ index: Int) -> Word
      - Show on GitHub + Show on GitHub
    • + + +
    +
    + + + +

    Comparison

    +     +
    + -
    -
    - +
    +
    +
    + + + +

    String Conversion

    +     +
    +
    -
    - - - -

    Comparison

    -     -
    -
    - - - -

    Radix Conversion

    -     -
    +
    +
    +
    +
    + + + +

    NSData Conversion

    +     +
    -
    -
    -
    - - - -

    NSData Conversion

    -     -
    -
    - Show on GitHub + Show on GitHub
    @@ -3064,9 +2143,9 @@

    Declaration

  • - + - serialize() + serialize()
    @@ -3074,7 +2153,7 @@

    Declaration

    -

    Return an NSData instance that contains the base-256 representation of this integer, in network (big-endian) byte order.

    +

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

    @@ -3086,7 +2165,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3105,9 +2184,9 @@

    Multiplication

  • - - - multiply(byDigit:) + + + multiply(byWord:)
    @@ -3115,8 +2194,7 @@

    Multiplication

    -

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

    - +

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

    Complexity

    O(count) @@ -3128,12 +2206,12 @@

    Multiplication

    Declaration

    Swift

    - 
    public mutating func multiply(byDigit y: Digit)
    + 
    public mutating func multiply(byWord y: Word)
    - Show on GitHub + Show on GitHub
    @@ -3141,9 +2219,9 @@

    Declaration

  • - - - multiplied(byDigit:) + + + multiplied(byWord:)
    @@ -3151,8 +2229,7 @@

    Declaration

    -

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

    - +

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

    Complexity

    O(count) @@ -3164,12 +2241,12 @@

    Declaration

    Declaration

    Swift

    - 
    public func multiplied(byDigit y: Digit) -> BigUInt
    + 
    public func multiplied(byWord y: Word) -> BigUInt
    - Show on GitHub + Show on GitHub
    @@ -3177,9 +2254,9 @@

    Declaration

  • - - - multiplyAndAdd(_:_:atPosition:) + + + multiplyAndAdd(_:_:shiftedBy:)
    @@ -3187,21 +2264,13 @@

    Declaration

    -

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

    - +

    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.)
    - -
    -

    Returns

    - self is set to self + (x * y) << (shift * 2^Digit.width) - -
    -

    Complexity

    O(count) @@ -3213,17 +2282,16 @@

    Declaration

    Declaration

    Swift

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

    Return Value

    -

    self is set to self + (x * y) << (shift * 2^Digit.width)

    - +

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

    - Show on GitHub + Show on GitHub
    @@ -3231,9 +2299,9 @@

    Return Value

  • - + - multiplied(by:) + multiplied(by:)
    @@ -3242,14 +2310,12 @@

    Return Value

    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 digits. +BigUInt.directMultiplicationLimit words.
    -

    Complexity

    O(n^log2(3)) @@ -3266,7 +2332,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3274,9 +2340,9 @@

    Declaration

  • - + - directMultiplicationLimit + directMultiplicationLimit
    @@ -3284,7 +2350,7 @@

    Declaration

    -

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

    +

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

    @@ -3296,7 +2362,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3304,9 +2370,9 @@

    Declaration

  • - + - *(_:_:) + *(_:_:)
    @@ -3315,14 +2381,12 @@

    Declaration

    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 digits. +BigUInt.directMultiplicationLimit words.
    -

    Complexity

    O(n^log2(3)) @@ -3334,12 +2398,76 @@

    Declaration

    Declaration

    Swift

    - 
    public static func *(x: BigUInt, y: BigUInt) -> BigUInt
    + 
    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 +
    +
    +
    +
    • + + +
    +
    -
    - - - -

    Exponentiation

    -     -
    -
    - - - -

    Addition

    -     -
    +
    +
    +
    + + + +

    Exponentiation

    +     +
    +
    @@ -3950,9 +2917,9 @@

    Declaration

  • - - - increment(atPosition:) + + + power(_:modulus:)
    @@ -3960,12 +2927,12 @@

    Declaration

    -

    Increment this integer by one. If shift is non-zero, it selects -the digit that is to be incremented.

    +

    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(count + shift) + O(exponent.count * modulus.count^log2(3)) or somesuch
    @@ -3974,22 +2941,33 @@

    Declaration

    Declaration

    Swift

    - 
    public mutating func increment(atPosition shift: Int = 0)
    + 
    public func power(_ exponent: BigUInt, modulus: BigUInt) -> BigUInt
    - Show on GitHub + Show on GitHub
    • + + +
    +
    + + + +

    Addition

    +     +
    +
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/Structs/BigUInt/Words.html b/docs/Structs/BigUInt/Words.html new file mode 100644 index 0000000..b0dda68 --- /dev/null +++ b/docs/Structs/BigUInt/Words.html @@ -0,0 +1,182 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Words Structure Reference +

    + +
    + +
    + +
    +
    +

    Words

    +
    +
    + 
    public struct Words: RandomAccessCollection
    + +
    +
    + +
    +
    + +
    +
    +
    +
      +
    • +
      + + + + startIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var startIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + endIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var endIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    +
    + + + diff --git a/docs/badge.svg b/docs/badge.svg new file mode 100644 index 0000000..658cf7a --- /dev/null +++ b/docs/badge.svg @@ -0,0 +1 @@ +documentationdocumentation92%92% \ No newline at end of file diff --git a/docs/css/jazzy.css b/docs/css/jazzy.css index 75b5433..c83db5b 100644 --- a/docs/css/jazzy.css +++ b/docs/css/jazzy.css @@ -327,3 +327,42 @@ html.dash .header, html.dash .breadcrumbs, html.dash .navigation { display: none; } html.dash .height-container { display: block; } + +form[role=search] input { + font: 16px/1.7 "Helvetica Neue", Helvetica, Arial, sans-serif; + font-size: 14px; + line-height: 24px; + padding: 0 10px; + margin: 0; + border: none; + border-radius: 1em; } + .loading form[role=search] input { + background: white url(../img/spinner.gif) center right 4px no-repeat; } +form[role=search] .tt-menu { + margin: 0; + min-width: 300px; + background: #fbfbfb; + color: #333; + border: 1px solid #ddd; } +form[role=search] .tt-highlight { + font-weight: bold; } +form[role=search] .tt-suggestion { + font: 16px/1.7 "Helvetica Neue", Helvetica, Arial, sans-serif; + padding: 0 8px; } + form[role=search] .tt-suggestion span { + display: table-cell; + white-space: nowrap; } + form[role=search] .tt-suggestion .doc-parent-name { + width: 100%; + text-align: right; + font-weight: normal; + font-size: 0.9em; + padding-left: 16px; } +form[role=search] .tt-suggestion:hover, +form[role=search] .tt-suggestion.tt-cursor { + cursor: pointer; + background-color: #4183c4; + color: #fff; } +form[role=search] .tt-suggestion:hover .doc-parent-name, +form[role=search] .tt-suggestion.tt-cursor .doc-parent-name { + color: #fff; } diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html index 8f89273..b9203ad 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions.html @@ -8,6 +8,9 @@ + + + @@ -19,18 +22,24 @@ BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -49,38 +58,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -99,13 +101,37 @@

    Extensions

    -
    - - - -

    BigInt

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

      Declaration

      +
      +

      Swift

      + 
      protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
      + +
      +
      +
      +
      +
      • +
    +
    +
    diff --git a/docs/Structs/DigitIterator.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html similarity index 50% rename from docs/Structs/DigitIterator.html rename to docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html index 3a0c17d..648ecee 100644 --- a/docs/Structs/DigitIterator.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/BinaryFloatingPoint.html @@ -1,37 +1,46 @@ - DigitIterator Struct Reference + BinaryFloatingPoint Extension Reference + + + - + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - DigitIterator Struct Reference + BinaryFloatingPoint Extension Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -91,15 +93,14 @@
    -

    DigitIterator

    +

    BinaryFloatingPoint

    - 
    public struct DigitIterator<Digit>: IteratorProtocol
    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    -

    State for iterating through the digits of a big integer.

    - +
    @@ -110,9 +111,39 @@

    DigitIterator

  • - - - next() + + + init(_:) + +
    +
    +
    +
    +
    +
    +

    Undocumented

    + +
    +
    +

    Declaration

    +
    +

    Swift

    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    + +
    +
    +
    + Show on GitHub +
    +
    +
    +
    • +
  • +
    + + + + init(_:)
    @@ -120,20 +151,19 @@

    DigitIterator

    -

    Return the next digit in the integer, or nil if there are no more digits. -Returned digits range from least to most significant.

    +

    Undocumented

    Declaration

    Swift

    - 
    public mutating func next() -> Digit?
    + 
    protocol BinaryFloatingPoint : FloatingPoint, ExpressibleByFloatLiteral
    - Show on GitHub + Show on GitHub
    @@ -146,8 +176,8 @@

    Declaration

    • -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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 index 64c808e..3b61515 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/String.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Extensions/String.html @@ -8,6 +8,9 @@ + + + @@ -20,18 +23,24 @@ BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -50,38 +59,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -109,9 +111,9 @@

    String

  • - - - init(_:radix:uppercase:) + + + init(_:)
    @@ -119,20 +121,10 @@

    String

    -

    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 - -
    - +

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

    Complexity

    - O(count) when radix is a power of two; otherwise O(count^2). + O(v.count^2)
    @@ -141,26 +133,22 @@

    String

    Declaration

    Swift

    - 
    public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
    + 
    public init(_ v: BigUInt)
    - Show on GitHub + Show on GitHub
    • - - -
    -
    • @@ -168,11 +156,18 @@

      Declaration

      -

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

      +

      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(v.count^2) + O(count) when radix is a power of two; otherwise O(count^2).
      @@ -181,12 +176,12 @@

      Declaration

      Declaration

      Swift

      - 
      public init(_ v: BigUInt)
      + 
      public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
      - Show on GitHub + Show on GitHub
      @@ -194,9 +189,9 @@

      Declaration

    • @@ -204,17 +199,15 @@

      Declaration

      -

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

      +

      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). @@ -226,12 +219,12 @@

      Declaration

      Declaration

      Swift

      - 
      public init(_ v: BigUInt, radix: Int, uppercase: Bool = false)
      + 
      public init(_ value: BigInt, radix: Int = 10, uppercase: Bool = false)
      - Show on GitHub + Show on GitHub
      @@ -244,8 +237,8 @@

      Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Functions.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Functions.html deleted file mode 100644 index 5293bae..0000000 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Functions.html +++ /dev/null @@ -1,164 +0,0 @@ - - - - Functions Reference - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - Functions Reference -

    - -
    - -
    - -
    -
    -

    Functions

    -

    The following functions are available globally.

    - -
    -
    - -
    -
    -
    -
    - - - -

    Square Root

    -     -
    -
      -
    • -
      - - - - sqrt(_:) - -
      -
      -
      -
      -
      -
      -

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

      - -
      -

      Returns

      - floor(sqrt(value)) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func sqrt(_ value: BigUInt) -> BigUInt
      - -
      -
      -
      -

      Return Value

      -

      floor(sqrt(value))

      - -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    -
    - - - diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols.html deleted file mode 100644 index c7b5757..0000000 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols.html +++ /dev/null @@ -1,147 +0,0 @@ - - - - Protocols Reference - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - Protocols Reference -

    - -
    - -
    - -
    -
    -

    Protocols

    -

    The following protocols are available globally.

    - -
    -
    - -
    -
    -
    -
      -
    • -
      - - - - ShiftOperations - -
      -
      -
      -
      -
      -
      -

      Describes a type that supports all the standard shift operators.

      - - See more -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public protocol ShiftOperations
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    -
    - - - diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols/ShiftOperations.html b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols/ShiftOperations.html deleted file mode 100644 index 10f600f..0000000 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Protocols/ShiftOperations.html +++ /dev/null @@ -1,243 +0,0 @@ - - - - ShiftOperations Protocol Reference - - - - - - - - - - - - - -
    -

    - - BigInt Docs - - (100% documented) -

    - -

    - - - View on GitHub - -

    - -

    - - - Install in Dash - -

    -
    - -

    - BigInt Reference - - ShiftOperations Protocol Reference -

    - -
    - -
    - -
    -
    -

    ShiftOperations

    -
    -
    - 
    public protocol ShiftOperations
    - -
    -
    -

    Describes a type that supports all the standard shift operators.

    - -
    -
    - -
    -
    -
    -
      -
    • -
      - - - - <<(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the left and return the result.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func <<(a: Self, b: Self) -> Self
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - >>(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the right and return the result.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func >>(a: Self, b: Self) -> Self
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - <<=(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the left and store the result in a.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func <<=(a: inout Self, b: Self)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - >>=(_:_:) - -
      -
      -
      -
      -
      -
      -

      Shift the value a by b bits to the right and store the result in a.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      static func >>=(a: inout Self, b: Self)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - -
    -
    -
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, 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 index 9f22d91..366be84 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs.html @@ -1,36 +1,45 @@ - Structs Reference + Structures Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -40,7 +49,7 @@

    BigInt Reference - Structs Reference + Structures Reference

    @@ -49,38 +58,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -90,8 +92,8 @@
    -

    Structs

    -

    The following structs are available globally.

    +

    Structures

    +

    The following structures are available globally.

    @@ -103,9 +105,9 @@

    Structs

  • - + - BigUInt + BigUInt
    @@ -115,24 +117,11 @@

    Structs

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

    -

    Operations on big integers never overflow, but they might take a long time to execute. +

    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 implements a mutable collection of its UInt64 digits, with the -digit at index 0 being the least significant.

    - -

    To make memory management simple, BigUInt allows you to subscript it with out-of-bounds indexes: -the subscript getter zero-extends the digit sequence, while the subscript setter automatically extends the -underlying storage when necessary:

    - -
    var number = BigUInt(1)
-number[42]                // Not an error, returns 0
-number[23] = 1            // Not an error, number is now 2^1472 + 1.
-
    - -

    Note that it is rarely a good idea to use big integers as collections; in the vast majority of cases it is much -easier to work with the provided high-level methods and operators rather than with raw big digits.

    +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    See more
    @@ -140,43 +129,12 @@

    Structs

    Declaration

    Swift

    - 
    public struct BigUInt
    - -
    -
    -
    - Show on GitHub -
    -
    • - - -
  • -
    - - - - DigitIterator - -
    -
    -
    -
    -
    -
    -

    State for iterating through the digits of a big integer.

    - - See more -
    -
    -

    Declaration

    -
    -

    Swift

    - 
    public struct DigitIterator<Digit>: IteratorProtocol
    + 
    public struct BigUInt: UnsignedInteger
    - Show on GitHub + Show on GitHub
    @@ -195,9 +153,9 @@

    BigInt

  • - + - BigInt + BigInt
    @@ -218,7 +176,6 @@

    BigInt

    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).abs.isPrime()   // Returns false
    @@ -228,12 +185,12 @@

    BigInt

    Declaration

    Swift

    - 
    public struct BigInt
    + 
    public struct BigInt: SignedInteger
    - Show on GitHub + Show on GitHub
    @@ -246,8 +203,8 @@

    Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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 index ea945cc..7bc104a 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt.html @@ -1,37 +1,46 @@ - BigInt Struct Reference + BigInt Structure Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - BigInt Struct Reference + BigInt Structure Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -94,7 +96,7 @@

    BigInt

    - 
    public struct BigInt
    + 
    public struct BigInt: SignedInteger
    @@ -111,7 +113,6 @@

    BigInt

    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).abs.isPrime()   // Returns false
    @@ -125,9 +126,9 @@

    BigInt

  • - - - abs + + + Sign
    @@ -135,19 +136,20 @@

    BigInt

    -

    The absolute value of this integer.

    +

    Undocumented

    + See more

    Declaration

    Swift

    - 
    public var abs: BigUInt
    + 
    public struct BigInt: SignedInteger
    - Show on GitHub + Show on GitHub
    @@ -155,9 +157,9 @@

    Declaration

  • - - - Digit + + + Word
    @@ -165,19 +167,19 @@

    Declaration

    -

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

    +

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

    Declaration

    Swift

    - 
    public typealias Digit = BigUInt.Digit
    + 
    public typealias Word = BigUInt.Word
    - Show on GitHub + Show on GitHub
    @@ -185,9 +187,9 @@

    Declaration

  • - - - negative + + + isSigned
    @@ -195,19 +197,18 @@

    Declaration

    -

    True iff the value of this integer is negative.

    - +

    Declaration

    Swift

    - 
    public var negative: Bool
    + 
    public static var isSigned: Bool
    - Show on GitHub + Show on GitHub
    @@ -215,9 +216,9 @@

    Declaration

  • @@ -225,19 +226,19 @@

    Declaration

    -

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

    +

    The absolute value of this integer.

    Declaration

    Swift

    - 
    public init(abs: BigUInt, negative: Bool = false)
    + 
    public var magnitude: BigUInt
    - Show on GitHub + Show on GitHub
    @@ -245,9 +246,9 @@

    Declaration

  • - - - init(_:) + + + sign
    @@ -255,19 +256,19 @@

    Declaration

    -

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

    +

    True iff the value of this integer is negative.

    Declaration

    Swift

    - 
    public init<I: UnsignedInteger>(_ integer: I)
    + 
    public var sign: Sign
    - Show on GitHub + Show on GitHub
    @@ -275,9 +276,9 @@

    Declaration

  • @@ -285,19 +286,19 @@

    Declaration

    -

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

    +

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

    Declaration

    Swift

    - 
    public init<I: SignedInteger>(_ integer: I)
    + 
    public init(sign: Sign, magnitude: BigUInt)
    - Show on GitHub + Show on GitHub
    @@ -305,9 +306,9 @@

    Declaration

  • - - - init(_:) + + + isZero
    @@ -315,33 +316,34 @@

    Declaration

    -

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

    +

    Return true iff this integer is zero.

    +
    +

    Complexity

    + O(1) + +

    Declaration

    Swift

    - 
    public init(_ integer: BigUInt)
    + 
    public var isZero: Bool
    - Show on GitHub + Show on GitHub
    • - -
    -
    -
    • - - - init(_:radix:) + + + signum()
      @@ -349,49 +351,23 @@

      Declaration

      -

      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 - -
      - -
      -

      Parameter

      - Parameter text: A string optionally starting with - or + followed by characters corresponding to numerals in the given radix. (0-9, a-z, A-Z) - -
      - -
      -

      Parameter

      - Parameter radix: The base of the number system to use, or 10 if unspecified. - -
      - -
      -

      Returns

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

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

      Declaration

      Swift

      - 
      public init?(_ text: String, radix: Int = 10)
      + 
      public func signum() -> BigInt

      Return Value

      -

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

      - +

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

      - Show on GitHub + Show on GitHub
      @@ -403,9 +379,9 @@

      Return Value

    • - - - description + + + ~(_:)
      @@ -413,33 +389,28 @@

      Return Value

      -

      Return the decimal representation of this integer.

      - +

      Declaration

      Swift

      - 
      public var description: String
      + 
      public static prefix func ~(x: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -447,33 +418,29 @@

      Declaration

      -

      Initialize a new big integer from an integer literal.

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(integerLiteral value: IntMax)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -481,20 +448,19 @@

      Declaration

      -

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

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(unicodeScalarLiteral value: UnicodeScalar)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -502,9 +468,9 @@

      Declaration

    • @@ -512,20 +478,19 @@

      Declaration

      -

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

      +

      Undocumented

      Declaration

      Swift

      - 
      public init(extendedGraphemeClusterLiteral value: String)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -533,9 +498,9 @@

      Declaration

    • @@ -543,34 +508,28 @@

      Declaration

      -

      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)
      + 
      public static func &=(lhs: inout BigInt, rhs: BigInt)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • @@ -578,19 +537,47 @@

      Declaration

      -

      Return the playground quick look representation of this integer.

      + +
      +
      +

      Declaration

      +
      +

      Swift

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

      Declaration

      Swift

      - 
      public var customPlaygroundQuickLook: PlaygroundQuickLook
      + 
      public static func ^=(lhs: inout BigInt, rhs: BigInt)
      - Show on GitHub + Show on GitHub
      @@ -598,13 +585,20 @@

      Declaration

    +
    + + + +

    Primality Testing

    +     +
    • @@ -612,19 +606,19 @@

      Declaration

      -

      Return true iff a is equal to b.

      +

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

      Declaration

      Swift

      - 
      public static func ==(a: BigInt, b: BigInt) -> Bool
      + 
      public func isStrongProbablePrime(_ base: BigInt) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -632,9 +626,9 @@

      Declaration

    • @@ -642,19 +636,29 @@

      Declaration

      -

      Return true iff a is less than b.

      +

      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 static func <(a: BigInt, b: BigInt) -> Bool
      + 
      public func isPrime(rounds: Int = 10) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -666,9 +670,9 @@

      Declaration

    • @@ -676,19 +680,47 @@

      Declaration

      -

      Append this BigInt to the specified hasher.

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var bitWidth: Int
      +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + trailingZeroBitCount + +
      +
      +
      +
      +
      +
      +

      Declaration

      Swift

      - 
      public func appendHashes(to hasher: inout SipHasher)
      + 
      public var trailingZeroBitCount: Int
      - Show on GitHub + Show on GitHub
      @@ -700,9 +732,9 @@

      Declaration

    • - - - advanced(by:) + + + Words
      @@ -710,19 +742,19 @@

      Declaration

      -

      Returns self + n.

      - + + See more

      Declaration

      Swift

      - 
      public func advanced(by n: Stride) -> BigInt
      + 
      public struct Words: RandomAccessCollection
      - Show on GitHub + Show on GitHub
      @@ -730,9 +762,9 @@

      Declaration

    • - - - Stride + + + words
      @@ -740,19 +772,18 @@

      Declaration

      -

      A type that can represent the distance between two values of BigInt.

      - +

      Declaration

      Swift

      - 
      public typealias Stride = BigInt
      + 
      public var words: Words
      - Show on GitHub + Show on GitHub
      @@ -760,9 +791,9 @@

      Declaration

    • @@ -770,19 +801,19 @@

      Declaration

      -

      Returns other - self.

      +

      Undocumented

      Declaration

      Swift

      - 
      public func distance(to other: BigInt) -> Stride
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      @@ -794,9 +825,9 @@

      Declaration

    • - - - -(_:) + + + appendHashes(to:)
      @@ -804,29 +835,33 @@

      Declaration

      -

      Negate a and return the result.

      +

      Append this BigInt to the specified hasher.

      Declaration

      Swift

      - 
      public static prefix func -(a: BigInt) -> BigInt
      + 
      public func appendHashes(to hasher: inout SipHasher)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - -(_:_:) + + + init(exactly:)
      @@ -834,33 +869,28 @@

      Declaration

      -

      Subtract b from a and return the result.

      - +

      Declaration

      Swift

      - 
      public static func -(a: BigInt, b: BigInt) -> BigInt
      + 
      public init?<T: BinaryFloatingPoint>(exactly source: T)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • - - - abs(_:) + + + init(_:)
      @@ -868,19 +898,18 @@

      Declaration

      -

      Returns the absolute value of x.

      - +

      Declaration

      Swift

      - 
      public static func abs(_ x: BigInt) -> BigInt
      + 
      public init<T: BinaryFloatingPoint>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -892,9 +921,9 @@

      Declaration

    • - - - toIntMax() + + + negate()
      @@ -902,19 +931,18 @@

      Declaration

      -

      Explicitly convert to IntMax, trapping on overflow.

      - +

      Declaration

      Swift

      - 
      public func toIntMax() -> IntMax
      + 
      public mutating func negate()
      - Show on GitHub + Show on GitHub
      @@ -922,9 +950,9 @@

      Declaration

    • - - - +(_:_:) + + + -(_:_:)
      @@ -932,19 +960,19 @@

      Declaration

      -

      Add a to b and return the result.

      +

      Subtract b from a and return the result.

      Declaration

      Swift

      - 
      public static func +(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func -(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -952,9 +980,9 @@

      Declaration

    • - - - *(_:_:) + + + -=(_:_:)
      @@ -962,29 +990,33 @@

      Declaration

      -

      Multiply a with b and return the result.

      +

      Subtract b from a in place.

      Declaration

      Swift

      - 
      public static func *(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func -=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -992,19 +1024,33 @@

      Declaration

      -

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

      +

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

      +
      +

      Requires

      + y > 0 + +
      +
      +

      Complexity

      + O(count^2) + +

      Declaration

      Swift

      - 
      public static func /(a: BigInt, b: BigInt) -> BigInt
      + 
      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 + Show on GitHub
      @@ -1012,9 +1058,9 @@

      Declaration

    • - - - %(_:_:) + + + /(_:_:)
      @@ -1022,19 +1068,19 @@

      Declaration

      -

      Divide a by b and return the remainder.

      +

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

      Declaration

      Swift

      - 
      public static func %(a: BigInt, b: BigInt) -> BigInt
      + 
      public static func /(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -1042,9 +1088,9 @@

      Declaration

    • @@ -1052,19 +1098,19 @@

      Declaration

      -

      Adds lhs and rhs together. An overflow is never reported.

      +

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

      Declaration

      Swift

      - 
      public static func addWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func %(a: BigInt, b: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      @@ -1072,9 +1118,9 @@

      Declaration

    • @@ -1082,29 +1128,33 @@

      Declaration

      -

      Subtracts rhs from lhs. An overflow is never reported.

      +

      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 static func subtractWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public func modulus(_ mod: BigInt) -> BigInt
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -1112,19 +1162,19 @@

      Declaration

      -

      Multiplies lhs with rhs. An overflow is never reported.

      +

      Divide a by b storing the quotient in a.

      Declaration

      Swift

      - 
      public static func multiplyWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func /=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      @@ -1132,9 +1182,9 @@

      Declaration

    • @@ -1142,29 +1192,33 @@

      Declaration

      -

      Divides lhs with rhs, returning the quotient, or trapping if rhs is zero. An overflow is never reported.

      +

      Divide a by b storing the remainder in a.

      Declaration

      Swift

      - 
      public static func divideWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public static func %=(a: inout BigInt, b: BigInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • @@ -1172,33 +1226,29 @@

      Declaration

      -

      Divides lhs with rhs, returning the remainder, or trapping if rhs is zero. An overflow is never reported.

      +

      Undocumented

      Declaration

      Swift

      - 
      public static func remainderWithOverflow(_ lhs: BigInt, _ rhs: BigInt) -> (BigInt, overflow: Bool)
      + 
      public struct BigInt: SignedInteger
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    • - - - +=(_:_:) + + + init(_:)
      @@ -1206,19 +1256,19 @@

      Declaration

      -

      Add b to a in place.

      +

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

      Declaration

      Swift

      - 
      public static func +=(a: inout BigInt, b: BigInt)
      + 
      public init(_ integer: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1226,9 +1276,9 @@

      Declaration

    • - - - -=(_:_:) + + + init(_:)
      @@ -1236,19 +1286,18 @@

      Declaration

      -

      Subtract b from a in place.

      - +

      Declaration

      Swift

      - 
      public static func -=(a: inout BigInt, b: BigInt)
      + 
      public init<T>(_ source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1256,9 +1305,9 @@

      Declaration

    • - - - *=(_:_:) + + + init(exactly:)
      @@ -1266,19 +1315,18 @@

      Declaration

      -

      Multiply a with b in place.

      - +

      Declaration

      Swift

      - 
      public static func *=(a: inout BigInt, b: BigInt)
      + 
      public init?<T>(exactly source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1286,9 +1334,9 @@

      Declaration

    • @@ -1296,19 +1344,18 @@

      Declaration

      -

      Divide a by b storing the quotient in a.

      - +

      Declaration

      Swift

      - 
      public static func /=(a: inout BigInt, b: BigInt)
      + 
      public init<T>(clamping source: T) where T : BinaryInteger
      - Show on GitHub + Show on GitHub
      @@ -1316,9 +1363,9 @@

      Declaration

    • @@ -1326,19 +1373,1040 @@

      Declaration

      -

      Divide a by b storing the remainder in a.

      - +

      Declaration

      Swift

      - 
      public static func %=(a: inout BigInt, b: BigInt)
      + 
      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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + ==(_:_:) + +
      +
      +
      +
      +
      +
      +

      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(_: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: StringProtocol>(_ text: S, radix: Int = 10)
      + +
      +
      +
      +

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

      Return the playground quick look representation of this integer.

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var customPlaygroundQuickLook: PlaygroundQuickLook
      + +
      +
      +
      + 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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + 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 +
      +
      +
      +
      • +
    +
    +
    +
      +
    • +
      + + + + &<<(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &<<=(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &>>(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + &>>=(_:_:) + +
      +
      +
      +
      +
      +
      +

      Undocumented

      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public struct BigInt: SignedInteger
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + <<(_:_:) + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      Declaration

      +
      +

      Swift

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

      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 + Show on GitHub
      @@ -1351,8 +2419,8 @@

      Declaration

    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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..2db1db2 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Sign.html @@ -0,0 +1,167 @@ + + + + Sign Enumeration Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Sign Enumeration Reference +

    + +
    + +
    + +
    +
    +

    Sign

    +

    Undocumented

    + +
    +
    + +
    +
    +
    + +
    +
    + +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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..ba949c1 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigInt/Words.html @@ -0,0 +1,240 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Words Structure Reference +

    + +
    + +
    + +
    +
    +

    Words

    +
    +
    + 
    public struct Words: RandomAccessCollection
    + +
    +
    + +
    +
    + +
    +
    +
    +
      +
    • +
      + + + + count + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var count: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + indices + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var indices: Indices
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + startIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var startIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + endIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var endIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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 index fc1a300..8c502f7 100644 --- a/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt.html +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt.html @@ -1,37 +1,46 @@ - BigUInt Struct Reference + BigUInt Structure Reference + + + - +

    BigInt Docs - (100% documented) + (92% documented) +

    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -41,7 +50,7 @@

    BigInt Reference - BigUInt Struct Reference + BigUInt Structure Reference

    @@ -50,38 +59,31 @@
  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -94,30 +96,17 @@

    BigUInt

    - 
    public struct BigUInt
    + 
    public struct BigUInt: UnsignedInteger

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

    -

    Operations on big integers never overflow, but they might take a long time to execute. +

    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 implements a mutable collection of its UInt64 digits, with the -digit at index 0 being the least significant.

    - -

    To make memory management simple, BigUInt allows you to subscript it with out-of-bounds indexes: -the subscript getter zero-extends the digit sequence, while the subscript setter automatically extends the -underlying storage when necessary:

    - -
    var number = BigUInt(1)
-number[42]                // Not an error, returns 0
-number[23] = 1            // Not an error, number is now 2^1472 + 1.
-
    - -

    Note that it is rarely a good idea to use big integers as collections; in the vast majority of cases it is much -easier to work with the provided high-level methods and operators rather than with raw big digits.

    +around Array<UInt64>. (In fact, BigUInt only uses an array if there are more than two digits.)

    @@ -129,9 +118,9 @@

    BigUInt

  • - - - Digit + + + Word
    @@ -139,19 +128,19 @@

    BigUInt

    -

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

    +

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

    Declaration

    Swift

    - 
    public typealias Digit = UIntMax
    + 
    public typealias Word = UInt
    - Show on GitHub + Show on GitHub
    @@ -159,9 +148,9 @@

    Declaration

  • - + - init() + init()
    @@ -181,7 +170,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -189,9 +178,9 @@

    Declaration

  • - - - init(_:) + + + init(words:)
    @@ -206,22 +195,26 @@

    Declaration

    Declaration

    Swift

    - 
    public init(_ digits: [Digit])
    + 
    public init(words: [Word])
    - Show on GitHub + Show on GitHub
    • + + +
    +
    • - - - init(_:) + + + ~(_:)
      @@ -229,19 +222,24 @@

      Declaration

      -

      Initializes a new BigUInt that has the supplied value.

      +

      Return the ones’ complement of a.

      +
      +

      Complexity

      + O(a.count) + +

      Declaration

      Swift

      - 
      public init<I: UnsignedInteger>(_ integer: I)
      + 
      public static prefix func ~(a: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -249,9 +247,9 @@

      Declaration

    • - - - init(_:) + + + |=(_:_:)
      @@ -259,11 +257,10 @@

      Declaration

      -

      Initializes a new BigUInt that has the supplied value.

      - -
      -

      Requires

      - integer >= 0 +

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

      +
      +

      Complexity

      + O(max(a.count, b.count))
      @@ -272,33 +269,22 @@

      Declaration

      Declaration

      Swift

      - 
      public init<I: SignedInteger>(_ integer: I)
      + 
      public static func |= (a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    - - - -

    Bitwise Operations

    -     -
    -
    • - - - allZeros + + + &=(_:_:)
      @@ -306,19 +292,24 @@

      Bitwise Operations

      -

      The empty bitset.

      +

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

      +
      +

      Complexity

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

      Declaration

      Swift

      - 
      public static let allZeros: BigUInt = 0
      + 
      public static func &= (a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -326,9 +317,9 @@

      Declaration

    • - - - width + + + ^=(_:_:)
      @@ -336,17 +327,10 @@

      Declaration

      -

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

      - -
      -

      Returns

      - floor(log2(2 * self + 1)) - -
      - +

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

      Complexity

      - O(1) + O(max(a.count, b.count))
      @@ -355,27 +339,33 @@

      Declaration

      Declaration

      Swift

      - 
      public var width: Int
      + 
      public static func ^= (a: inout BigUInt, b: BigUInt)
      -
      -

      Return Value

      -

      floor(log2(2 * self + 1))

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

    Random Integers

    +     +
    +
    • @@ -383,30 +373,10 @@

      Return Value

      -

      The number of leading zero bits in the binary representation of this integer in base 2^Digit.width. -This is useful when you need to normalize a BigUInt such that the top bit of its most significant digit is 1.

      - +

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

      Note

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

      Returns

      - A value in 0...(Digit.width - 1). - -
      - -
      -

      See also

      - width - -
      - -
      -

      Complexity

      - O(1) + This function uses arc4random_buf to generate random bits.
      @@ -415,17 +385,16 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      -

      A value in 0...(Digit.width - 1).

      - +

      A big integer less than 1 << width.

      - Show on GitHub + Show on GitHub
      @@ -433,9 +402,9 @@

      Return Value

    • @@ -443,23 +412,10 @@

      Return Value

      -

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

      - +

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

      Note

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

      Returns

      - A value in 0...width. - -
      - -
      -

      Complexity

      - O(count) + This function uses arc4random_buf to generate random bits.
      @@ -468,17 +424,16 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      -

      A value in 0...width.

      - +

      A random big integer whose width is width.

      - Show on GitHub + Show on GitHub
      @@ -486,9 +441,9 @@

      Return Value

    • @@ -496,11 +451,10 @@

      Return Value

      -

      Return the ones’ complement of a.

      - -
      -

      Complexity

      - O(a.count) +

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

      +
      +

      Note

      + This function uses arc4random_buf to generate random bits.
      @@ -509,22 +463,37 @@

      Return Value

      Declaration

      Swift

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

      Return Value

      +

      A random big integer that is less than limit.

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

    Primality Testing

    +     +
    +
    • @@ -532,25 +501,19 @@

      Declaration

      -

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

      - -
      -

      Complexity

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

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

      Declaration

      Swift

      - 
      public static func | (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public func isStrongProbablePrime(_ base: BigUInt) -> Bool
      - Show on GitHub + Show on GitHub
      @@ -558,9 +521,9 @@

      Declaration

    • @@ -568,35 +531,43 @@

      Declaration

      -

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

      +

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

      -
      -

      Complexity

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

      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 static func & (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public func isPrime(rounds: Int = 10) -> Bool
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - ^(_:_:) + + + bitWidth
      @@ -604,11 +575,10 @@

      Declaration

      -

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

      - +

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

      Complexity

      - O(max(a.count, b.count)) + O(1)
      @@ -617,12 +587,16 @@

      Declaration

      Declaration

      Swift

      - 
      public static func ^ (a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public var bitWidth: Int
      +
      +

      Return Value

      +

      floor(log2(2 * self + 1))

      +
      - Show on GitHub + Show on GitHub
      @@ -630,9 +604,9 @@

      Declaration

    • @@ -640,11 +614,21 @@

      Declaration

      -

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

      +

      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(max(a.count, b.count)) + O(1)
      @@ -653,12 +637,16 @@

      Declaration

      Declaration

      Swift

      - 
      public static func |= (a: inout BigUInt, b: BigUInt)
      + 
      public var leadingZeroBitCount: Int
      +
      +

      Return Value

      +

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

      +
      - Show on GitHub + Show on GitHub
      @@ -666,9 +654,9 @@

      Declaration

    • @@ -676,11 +664,15 @@

      Declaration

      -

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

      +

      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(max(a.count, b.count)) + O(count)
      @@ -689,22 +681,30 @@

      Declaration

      Declaration

      Swift

      - 
      public static func &= (a: inout BigUInt, b: BigUInt)
      + 
      public var trailingZeroBitCount: Int
      +
      +

      Return Value

      +

      A value in 0...width.

      +
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    • - - - ^=(_:_:) + + + Words
      @@ -712,46 +712,29 @@

      Declaration

      -

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

      - -
      -

      Complexity

      - O(max(a.count, b.count)) - -
      - + + See more

      Declaration

      Swift

      - 
      public static func ^= (a: inout BigUInt, b: BigUInt)
      + 
      public struct Words: RandomAccessCollection
      - Show on GitHub + Show on GitHub
      • -
    -
    -
    -
    - - - -

    Random Integers

    -     -
    -
    • @@ -759,36 +742,18 @@

      Random Integers

      -

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

      - -
      -

      Returns

      - A big integer less than 1 << width. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      - +

      Declaration

      Swift

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

      Return Value

      -

      A big integer less than 1 << width.

      - -
      - Show on GitHub + Show on GitHub
      @@ -796,9 +761,9 @@

      Return Value

    • @@ -806,46 +771,40 @@

      Return Value

      -

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

      - -
      -

      Returns

      - A random big integer whose width is width. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      +

      Undocumented

      Declaration

      Swift

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

      Return Value

      -

      A random big integer whose width is width.

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

    Hashing

    +     +
    +
    • @@ -853,36 +812,19 @@

      Return Value

      -

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

      - -
      -

      Returns

      - A random big integer that is less than limit. - -
      - -
      -

      Note

      - This function uses arc4random_buf to generate random bits. - -
      +

      Append this BigUInt to the specified hasher.

      Declaration

      Swift

      - 
      public static func randomIntegerLessThan(_ limit: BigUInt) -> BigUInt
      + 
      public func appendHashes(to hasher: inout SipHasher)
      -
      -

      Return Value

      -

      A random big integer that is less than limit.

      - -
      - Show on GitHub + Show on GitHub
      @@ -890,20 +832,13 @@

      Return Value

    -
    - - - -

    Primality Testing

    -     -
    • @@ -911,19 +846,18 @@

      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
      + 
      public init?<T: BinaryFloatingPoint>(exactly source: T)
      - Show on GitHub + Show on GitHub
      @@ -931,9 +865,9 @@

      Declaration

    • @@ -941,29 +875,18 @@

      Declaration

      -

      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
      + 
      public init<T: BinaryFloatingPoint>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -972,19 +895,19 @@

      Declaration

    - - - -

    Hashing

    +     + + +

    Subtraction
    • @@ -992,40 +915,40 @@

      Hashing

      -

      Append this BigUInt to the specified hasher.

      +

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

    Subtraction

    -     -
    -
    • @@ -1033,15 +956,13 @@

      Subtraction

      -

      Subtract a digit d from this integer in place, returning a flag that is true if the operation -caused an arithmetic overflow. d is shifted shift digits to the left before being subtracted.

      - +

      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 the result is true, then self becomes the two’s complement of the absolute difference. + If overflow is true, then the result value is the twos’ complement of the absolute value of the difference.
      -

      Complexity

      O(count) @@ -1053,12 +974,12 @@

      Subtraction

      Declaration

      Swift

      - 
      public mutating func subtractDigitWithOverflow(_ d: Digit, atPosition shift: Int = 0) -> Bool
      + 
      public func subtractingReportingOverflow(_ other: BigUInt, shiftedBy shift: Int) -> (partialValue: BigUInt, overflow: Bool)
      - Show on GitHub + Show on GitHub
      @@ -1066,9 +987,9 @@

      Declaration

    • @@ -1076,15 +997,12 @@

      Declaration

      -

      Subtract a digit d from this integer, returning the difference and a flag that is true if the operation -caused an arithmetic overflow. d is shifted shift digits to the left before being subtracted.

      - +

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

      Note

      - If overflow is true, then the returned value is the two’s complement of the absolute difference. + When the operation overflows, then partialValue is the twos’ complement of the absolute value of the difference.
      -

      Complexity

      O(count) @@ -1096,12 +1014,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingDigitWithOverflow(_ d: Digit, atPosition shift: Int = 0) -> (BigUInt, overflow: Bool)
      + 
      public func subtractingReportingOverflow(_ other: BigUInt) -> (partialValue: BigUInt, overflow: Bool)
      - Show on GitHub + Show on GitHub
      @@ -1109,9 +1027,9 @@

      Declaration

    • @@ -1119,15 +1037,13 @@

      Declaration

      -

      Subtract a digit d from this integer in place. -d is shifted shift digits to the left before being subtracted.

      - +

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

      Requires

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

      Complexity

      O(count) @@ -1139,12 +1055,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtractDigit(_ d: Digit, atPosition shift: Int = 0)
      + 
      public mutating func subtract(_ other: BigUInt, shiftedBy shift: Int = 0)
      - Show on GitHub + Show on GitHub
      @@ -1152,9 +1068,9 @@

      Declaration

    • @@ -1162,15 +1078,13 @@

      Declaration

      -

      Subtract a digit d from this integer and return the result. -d is shifted shift digits to the left before being subtracted.

      - +

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

      Requires

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

      Complexity

      O(count) @@ -1182,12 +1096,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingDigit(_ d: Digit, atPosition shift: Int = 0) -> BigUInt
      + 
      public func subtracting(_ other: BigUInt, shiftedBy shift: Int = 0) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1195,9 +1109,9 @@

      Declaration

    • @@ -1205,15 +1119,12 @@

      Declaration

      -

      Subtract b from this integer in place, and return true iff the operation caused an -arithmetic overflow. b is shifted shift digits to the left before being subtracted.

      - -
      -

      Note

      - If the result is true, then self becomes the twos’ complement of the absolute difference. +

      Decrement this integer by one.

      +
      +

      Requires

      + !isZero
      -

      Complexity

      O(count) @@ -1225,12 +1136,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtractWithOverflow(_ b: BigUInt, atPosition shift: Int = 0) -> Bool
      + 
      public mutating func decrement(shiftedBy shift: Int = 0)
      - Show on GitHub + Show on GitHub
      @@ -1238,9 +1149,9 @@

      Declaration

    • @@ -1248,18 +1159,15 @@

      Declaration

      -

      Subtract b from this integer, returning the difference and a flag that is true if the operation caused an -arithmetic overflow. b 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. +

      Subtract b from a and return the result.

      +
      +

      Requires

      + a >= b
      -

      Complexity

      - O(count) + O(a.count)
      @@ -1268,12 +1176,12 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtractingWithOverflow(_ b: BigUInt, atPosition shift: Int = 0) -> (BigUInt, overflow: Bool)
      + 
      public static func -(a: BigUInt, b: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1281,9 +1189,9 @@

      Declaration

    • @@ -1291,18 +1199,15 @@

      Declaration

      -

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

      - +

      Subtract b from a and store the result in a.

      Requires

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

      Complexity

      - O(count) + O(a.count)
      @@ -1311,22 +1216,33 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func subtract(_ b: BigUInt, atPosition shift: Int = 0)
      + 
      public static func -=(a: inout BigUInt, b: BigUInt)
      - Show on GitHub + Show on GitHub
      • +
    +
    +
    +
    + + + +

    Division

    +     +
    +
    • @@ -1334,18 +1250,15 @@

      Declaration

      -

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

      - +

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

      Requires

      - self >= b * 2^shift + y > 0
      -

      Complexity

      - O(count) + O(count^2)
      @@ -1354,12 +1267,16 @@

      Declaration

      Declaration

      Swift

      - 
      public func subtracting(_ b: BigUInt, atPosition shift: Int = 0) -> BigUInt
      + 
      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 + Show on GitHub
      @@ -1367,9 +1284,9 @@

      Declaration

    • @@ -1377,17 +1294,10 @@

      Declaration

      -

      Decrement this integer by one.

      - -
      -

      Requires

      - !isZero - -
      - -
      -

      Complexity

      - O(count) +

      Divide x by y and return the quotient.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1396,12 +1306,12 @@

      Declaration

      Declaration

      Swift

      - 
      public mutating func decrement(atPosition shift: Int = 0)
      + 
      public static func /(x: BigUInt, y: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1409,9 +1319,9 @@

      Declaration

    • - - - -(_:_:) + + + %(_:_:)
      @@ -1419,17 +1329,10 @@

      Declaration

      -

      Subtract b from a and return the result.

      - -
      -

      Requires

      - a >= b - -
      - -
      -

      Complexity

      - O(a.count) +

      Divide x by y and return the remainder.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1438,12 +1341,12 @@

      Declaration

      Declaration

      Swift

      - 
      public static func -(a: BigUInt, b: BigUInt) -> BigUInt
      + 
      public static func %(x: BigUInt, y: BigUInt) -> BigUInt
      - Show on GitHub + Show on GitHub
      @@ -1451,9 +1354,9 @@

      Declaration

    • - - - -=(_:_:) + + + /=(_:_:)
      @@ -1461,17 +1364,10 @@

      Declaration

      -

      Subtract b from a and store the result in a.

      - -
      -

      Requires

      - a >= b - -
      - -
      -

      Complexity

      - O(a.count) +

      Divide x by y and store the quotient in x.

      +
      +

      Note

      + Use divided(by:) if you also need the remainder.
      @@ -1480,12 +1376,12 @@

      Declaration

      Declaration

      Swift

      - 
      public static func -=(a: inout BigUInt, b: BigUInt)
      + 
      public static func /=(x: inout BigUInt, y: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1493,9 +1389,9 @@

      Declaration

    • @@ -1503,20 +1399,24 @@

      Declaration

      -

      Subtracts rhs from lhs, returning the result and a Bool that is true iff the operation caused an arithmetic overflow. -Overflow is returned if and only if lhs is less than rhs, in which case the result is the twos’ complement of the absolute difference.

      +

      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 subtractWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public static func %=(x: inout BigUInt, y: BigUInt)
      - Show on GitHub + Show on GitHub
      @@ -1524,20 +1424,13 @@

      Declaration

    -
    - - - -

    Division

    -     -
    • @@ -1545,31 +1438,18 @@

      Division

      -

      Divide this integer by the digit y, leaving the quotient in its place and returning the remainder.

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Complexity

      - O(count) - -
      - +

      Declaration

      Swift

      - 
      public mutating func divide(byDigit y: Digit) -> Digit
      + 
      public init?<T: BinaryInteger>(exactly source: T)
      - Show on GitHub + Show on GitHub
      @@ -1577,9 +1457,9 @@

      Declaration

    • @@ -1587,167 +1467,18 @@

      Declaration

      -

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

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Returns

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

      Complexity

      - O(x.count) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func divided(byDigit y: Digit) -> (quotient: BigUInt, remainder: Digit)
      - -
      -
      -
      -

      Return Value

      -

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

      - -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - divided(by:) - -
      -
      -
      -
      -
      -
      -

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

      - -
      -

      Requires

      - y > 0 - -
      - -
      -

      Returns

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

      Complexity

      - O(count^2) - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func divided(by 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
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public init<T: BinaryInteger>(_ source: T)
      - Show on GitHub + Show on GitHub
      @@ -1755,81 +1486,9 @@

      Declaration

    • - - - /=(_:_:) - -
      -
      -
      -
      -
      -
      -

      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 -
      -
      -
      -
      • -
    • -
      @@ -1837,19 +1496,18 @@

      Declaration

      -

      Divide lhs by rhs, returning the quotient. This function never results in an overflow.

      - +

      Declaration

      Swift

      - 
      public static func divideWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public init<T: BinaryInteger>(truncatingIfNeeded source: T)
      - Show on GitHub + Show on GitHub
      @@ -1857,9 +1515,9 @@

      Declaration

    • @@ -1867,19 +1525,18 @@

      Declaration

      -

      Divide lhs by rhs, returning the remainder. This function never results in an overflow.

      - +

      Declaration

      Swift

      - 
      public static func remainderWithOverflow(_ lhs: BigUInt, _ rhs: BigUInt) -> (BigUInt, overflow: Bool)
      + 
      public init<T: BinaryInteger>(clamping source: T)
      - Show on GitHub + Show on GitHub
      @@ -1887,20 +1544,13 @@

      Declaration

    -
    - - - -

    Init from Integer literals

    -     -
    - Show on GitHub + Show on GitHub
    @@ -1928,20 +1578,13 @@

    Declaration

    -
    - - - -

    Init from String literals

    -     -
    • @@ -1949,20 +1592,18 @@

      Init from String literals

      -

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

      - +

      Declaration

      Swift

      - 
      public init(unicodeScalarLiteral value: UnicodeScalar)
      + 
      public static var isSigned: Bool
      - Show on GitHub + Show on GitHub
      @@ -1970,9 +1611,9 @@

      Declaration

    • @@ -1980,51 +1621,23 @@

      Declaration

      -

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

      +

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

      Declaration

      Swift

      - 
      public init(extendedGraphemeClusterLiteral value: String)
      + 
      public func signum() -> BigUInt
      -
      - 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)
      - -
      +
      +

      Return Value

      +

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

      - Show on GitHub + Show on GitHub
      @@ -2032,13 +1645,20 @@

      Declaration

    +
    + + + +

    Collection-like members

    +     +
    • @@ -2046,576 +1666,63 @@

      Declaration

      -

      Explicitly convert to IntMax, trapping on overflow.

      +

      Get or set a digit at a given index.

      +
      +

      Note

      + Unlike a normal collection, it is OK for the index to be greater than or equal to endIndex. +The subscripting getter returns zero for indexes beyond the most significant digit. +Setting these extended digits automatically appends new elements to the underlying digit array. -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func toIntMax() -> IntMax
      +
      +
      +

      Requires

      + index >= 0 -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    -
    -
    -
    - - - -

    Collection

    -     -
    -
      -
    • -
      - - - - Iterator - -
      -
      -
      -
      -
      -
      -

      The type representing the iteration interface for the digits in a big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Iterator = DigitIterator<Digit>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - Indices - -
      -
      -
      -
      -
      -
      -

      The type representing valid indices for subscripting the collection.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Indices = CountableRange<Int>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - SubSequence - -
      -
      -
      -
      -
      -
      -

      Big integers can be contiguous digit subranges of another big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias SubSequence = BigUInt
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - subscript(_:) - -
      -
      -
      -
      -
      -
      -

      Get or set a digit at a given index.

      - -
      -

      Note

      - Unlike a normal collection, it is OK for the index to be greater than or equal to endIndex. -The subscripting getter returns zero for indexes beyond the most significant digit. -Setting these extended digits automatically appends new elements to the underlying digit array. - -
      - -
      -

      Requires

      - index >= 0 - -
      - -
      -

      Complexity

      - The getter is O(1). The setter is O(1) if the conditions below are true; otherwise it’s O(count). - -
        -
      • The integer’s storage is not shared with another integer
        • -
      • The integer wasn’t created as a slice of another integer
        • -
      • index < count
        • -
      - -
      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public subscript(index: Int) -> Digit
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - subscript(_:) - -
      -
      -
      -
      -
      -
      -

      Returns an integer built from the digits of this integer in the given range.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public subscript(bounds: Range<Int>) -> BigUInt
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - IndexDistance - -
      -
      -
      -
      -
      -
      -

      The type representing the number of steps between two indices.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias IndexDistance = Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - Index - -
      -
      -
      -
      -
      -
      -

      Big integers implement Collection to provide access to their big digits, indexed by integers; a zero index refers to the least significant digit.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public typealias Index = Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - indices - -
      -
      -
      -
      -
      -
      -

      Big integers can be contiguous digit subranges of another big integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var indices: Indices
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - startIndex - -
      -
      -
      -
      -
      -
      -

      The index of the first digit, starting from the least significant. (This is always zero.)

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var startIndex: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - endIndex - -
      -
      -
      -
      -
      -
      -

      The index of the digit after the most significant digit in this integer.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var endIndex: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - count - -
      -
      -
      -
      -
      -
      -

      The number of digits in this integer, excluding leading zero digits.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public var count: Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - makeIterator() - -
      -
      -
      -
      -
      -
      -

      Return a generator over the digits of this integer, starting at the least significant digit.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func makeIterator() -> DigitIterator<Digit>
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(after:) - -
      -
      -
      -
      -
      -
      -

      Returns the position immediately after the given index.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func index(after i: Int) -> Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(before:) - -
      -
      -
      -
      -
      -
      -

      Returns the position immediately before the given index.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func index(before i: Int) -> Int
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - formIndex(after:) - -
      -
      -
      -
      -
      -
      -

      Replaces the given index with its successor.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func formIndex(after i: inout Int)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - formIndex(before:) - -
      -
      -
      -
      -
      -
      -

      Replaces the given index with its predecessor.

      - -
      -
      -

      Declaration

      -
      -

      Swift

      - 
      public func formIndex(before i: inout Int)
      - -
      -
      -
      - Show on GitHub -
      -
      -
      -
      • -
    • -
      - - - - index(_:offsetBy:) - -
      -
      -
      -
      -
      -
      -

      Returns an index that is the specified distance from the given index.

      +
      +
      +

      Complexity

      + The getter is O(1). The setter is O(1) if the conditions below are true; otherwise it’s O(count). + +
        +
      • The integer’s storage is not shared with another integer
        • +
      • The integer wasn’t created as a slice of another integer
        • +
      • index < count
        • +
      + +

      Declaration

      Swift

      - 
      public func index(_ i: Int, offsetBy n: Int) -> Int
      + 
      subscript(_ index: Int) -> Word
      - Show on GitHub + Show on GitHub
    • + + +
    +
    + + + +

    Comparison

    +     +
    + -
    -
    - +
    +
    +
    + + + +

    String Conversion

    +     +
    +
    -
    - - - -

    Comparison

    -     -
    -
    - - - -

    Radix Conversion

    -     -
    +
    +
    +
    +
    + + + +

    NSData Conversion

    +     +
    -
    -
    -
    - - - -

    NSData Conversion

    -     -
    -
    - Show on GitHub + Show on GitHub
    @@ -3064,9 +2143,9 @@

    Declaration

  • - + - serialize() + serialize()
    @@ -3074,7 +2153,7 @@

    Declaration

    -

    Return an NSData instance that contains the base-256 representation of this integer, in network (big-endian) byte order.

    +

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

    @@ -3086,7 +2165,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3105,9 +2184,9 @@

    Multiplication

  • - - - multiply(byDigit:) + + + multiply(byWord:)
    @@ -3115,8 +2194,7 @@

    Multiplication

    -

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

    - +

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

    Complexity

    O(count) @@ -3128,12 +2206,12 @@

    Multiplication

    Declaration

    Swift

    - 
    public mutating func multiply(byDigit y: Digit)
    + 
    public mutating func multiply(byWord y: Word)
    - Show on GitHub + Show on GitHub
    @@ -3141,9 +2219,9 @@

    Declaration

  • - - - multiplied(byDigit:) + + + multiplied(byWord:)
    @@ -3151,8 +2229,7 @@

    Declaration

    -

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

    - +

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

    Complexity

    O(count) @@ -3164,12 +2241,12 @@

    Declaration

    Declaration

    Swift

    - 
    public func multiplied(byDigit y: Digit) -> BigUInt
    + 
    public func multiplied(byWord y: Word) -> BigUInt
    - Show on GitHub + Show on GitHub
    @@ -3177,9 +2254,9 @@

    Declaration

  • - - - multiplyAndAdd(_:_:atPosition:) + + + multiplyAndAdd(_:_:shiftedBy:)
    @@ -3187,21 +2264,13 @@

    Declaration

    -

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

    - +

    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.)
    - -
    -

    Returns

    - self is set to self + (x * y) << (shift * 2^Digit.width) - -
    -

    Complexity

    O(count) @@ -3213,17 +2282,16 @@

    Declaration

    Declaration

    Swift

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

    Return Value

    -

    self is set to self + (x * y) << (shift * 2^Digit.width)

    - +

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

    - Show on GitHub + Show on GitHub
    @@ -3231,9 +2299,9 @@

    Return Value

  • - + - multiplied(by:) + multiplied(by:)
    @@ -3242,14 +2310,12 @@

    Return Value

    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 digits. +BigUInt.directMultiplicationLimit words.
    -

    Complexity

    O(n^log2(3)) @@ -3266,7 +2332,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3274,9 +2340,9 @@

    Declaration

  • - + - directMultiplicationLimit + directMultiplicationLimit
    @@ -3284,7 +2350,7 @@

    Declaration

    -

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

    +

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

    @@ -3296,7 +2362,7 @@

    Declaration

    - Show on GitHub + Show on GitHub
    @@ -3304,9 +2370,9 @@

    Declaration

  • - + - *(_:_:) + *(_:_:)
    @@ -3315,14 +2381,12 @@

    Declaration

    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 digits. +BigUInt.directMultiplicationLimit words.
    -

    Complexity

    O(n^log2(3)) @@ -3334,12 +2398,76 @@

    Declaration

    Declaration

    Swift

    - 
    public static func *(x: BigUInt, y: BigUInt) -> BigUInt
    + 
    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 +
    +
    +
    +
    • + + +
    +
    -
    - - - -

    Exponentiation

    -     -
    -
    - - - -

    Addition

    -     -
    +
    +
    +
    + + + +

    Exponentiation

    +     +
    +
    @@ -3950,9 +2917,9 @@

    Declaration

  • - - - increment(atPosition:) + + + power(_:modulus:)
    @@ -3960,12 +2927,12 @@

    Declaration

    -

    Increment this integer by one. If shift is non-zero, it selects -the digit that is to be incremented.

    +

    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(count + shift) + O(exponent.count * modulus.count^log2(3)) or somesuch
    @@ -3974,22 +2941,33 @@

    Declaration

    Declaration

    Swift

    - 
    public mutating func increment(atPosition shift: Int = 0)
    + 
    public func power(_ exponent: BigUInt, modulus: BigUInt) -> BigUInt
    - Show on GitHub + Show on GitHub
    • + + +
    +
    + + + +

    Addition

    +     +
    +
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, 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..b0dda68 --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/Structs/BigUInt/Words.html @@ -0,0 +1,182 @@ + + + + Words Structure Reference + + + + + + + + + + + + + + + + +
    +

    + + BigInt Docs + + (92% documented) +

    + +

    +

    + +
    +

    + +

    + + + View on GitHub + +

    + +

    + + + Install in Dash + +

    +
    + +

    + BigInt Reference + + Words Structure Reference +

    + +
    + +
    + +
    +
    +

    Words

    +
    +
    + 
    public struct Words: RandomAccessCollection
    + +
    +
    + +
    +
    + +
    +
    +
    +
      +
    • +
      + + + + startIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var startIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    • +
      + + + + endIndex + +
      +
      +
      +
      +
      +
      + +
      +
      +

      Declaration

      +
      +

      Swift

      + 
      public var endIndex: Int
      + +
      +
      +
      + Show on GitHub +
      +
      +
      +
      • +
    +
    +
    +
    + +
    +
    +
    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    +
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    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -49,38 +58,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -91,7 +93,7 @@
    -

    BigInt

    +

    BigInt

    -

    Swift 3 -Documented +

    Swift 3 License Platform

    -

    Build Status -Code Coverage +

    Build Status +Code Coverage Carthage compatible Version

    -

    Overview

    +

    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>.

    @@ -131,7 +132,7 @@ you don’t want to add The GNU Multiple Precision Arithmetic Library as a dependency.

    -

    Two big integer types are included: BigUInt and BigInt, +

    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.

    @@ -140,43 +141,43 @@ big integers, including

    The implementations are intended to be reasonably efficient, but they are unlikely to be @@ -185,16 +186,16 @@

    The library has 100% unit test coverage. Sadly this does not imply that there are no bugs in it.

    -

    API Documentation

    +

    API Documentation

    -

    Generated API docs are available at http://lorentey.github.io/BigInt/.

    -

    License

    +

    Generated API docs are available at http://attaswift.github.io/BigInt/.

    +

    License

    -

    BigInt can be used, distributed and modified under the MIT license.

    -

    Requirements and Integration

    +

    BigInt can be used, distributed and modified under the MIT license.

    +

    Requirements and Integration

    -

    BigInt 2.1.0 requires Swift 3.0.1. (The last version with support for Swift 3.0.0 was BigInt 2.0.1. -The last version with support for Swift 2.2 was BigInt 1.3.0.)

    +

    BigInt 3.0.0 requires Swift 4. (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.)

    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, @@ -209,37 +210,37 @@

  • 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/lorentey/BigInt.git", majorVersion: 2, minorVersion: 1)
+
    .Package(url: "https://github.com/attaswift/BigInt.git", from: "3.0.0")

  • CocoaPods: Put this in your Podfile:

    -
    pod 'BigInt', '~> 2.1'
+
    pod 'BigInt', '~> 3.0'

  • Carthage: Put this in your Cartfile:

    -
    github "lorentey/BigInt" ~> 2.1
+
    github "attaswift/BigInt" ~> 3.0
    • -

    Implementation notes

    +

    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 +

    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 and a -sign bit, both of which are accessible as public read-write properties.

    -

    Full-width multiplication and division primitives

    +

    BigInt is just a tiny wrapper around a BigUInt absolute value and a +sign bit, both of which are accessible as public read-write properties.

    +

    Full-width multiplication and division primitives

    I haven’t found (64,64)->128 multiplication or (128,64)->64 division operations -in Swift, so the module has generic implementations for them in terms of the standard +in Swift, so the module has generic implementations for them in terms of the standard single-width * and / operators. I suspect there are LLVM intrinsics for full-width arithmetics that are probably accessible somehow, though. (Let me know if you know how!)

    This sounds slow, but 64-bit digits are still considerably faster than 32-bit, even though the latter can use direct 64-bit arithmetic to implement these primitives.

    -

    Why is there no generic BigInt<Digit> type?

    +

    Why is there no generic BigInt<Digit> type?

    -

    The types provided by BigInt are not parametric—this is very much intentional, as +

    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 @@ -249,14 +250,14 @@ 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.

    +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

    +

    Calculation Samples

    +

    Obligatory Factorial Demo

    -

    It is easy to use BigInt to calculate the factorial function for any integer:

    +

    It is easy to use BigInt to calculate the factorial function for any integer:

    import BigInt
 
 func factorial(_ n: Int) -> BigInt {
@@ -307,9 +308,9 @@

    Well, I guess that’s all right, but it’s not very interesting. Let’s try something more useful.

    -

    RSA Cryptography

    +

    RSA Cryptography

    -

    The BigInt module provides all necessary parts to implement an (overly) +

    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 @@ -376,7 +377,7 @@

    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 +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
@@ -407,9 +408,9 @@
 
    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
    
+
    Calculating the Digits of π
    
 
-
    Another fun activity to try with BigInts is to generate 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
@@ -469,8 +470,8 @@
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

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    '; + t += '' + result.name + ''; + if (result.parent_name) { + t += '' + result.parent_name + ''; + } + t += '
    '; + return t; + } + + $typeahead.one('focus', function() { + $form.addClass('loading'); + + $.getJSON(searchURL).then(function(searchData) { + $.each(searchData, function (url, doc) { + searchIndex.add({url: url, name: doc.name}); + }); + + $typeahead.typeahead( + { + highlight: true, + minLength: 3 + }, + { + limit: 10, + display: displayTemplate, + templates: { suggestion: suggestionTemplate }, + source: function(query, sync) { + var results = searchIndex.search(query).map(function(result) { + var doc = searchData[result.ref]; + doc.url = result.ref; + return doc; + }); + sync(results); + } + } + ); + $form.removeClass('loading'); + $typeahead.trigger('focus'); + }); + }); + + var baseURL = searchURL.slice(0, -"search.json".length); + + $typeahead.on('typeahead:select', function(e, result) { + window.location = baseURL + result.url; + }); +}); diff --git a/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/lunr.min.js b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/lunr.min.js new file mode 100755 index 0000000..22776bb --- /dev/null +++ b/docs/docsets/BigInt.docset/Contents/Resources/Documents/js/lunr.min.js @@ -0,0 +1,6 @@ +/** + * lunr - http://lunrjs.com - A bit like Solr, but much smaller and not as bright - 0.7.2 + * Copyright (C) 2016 Oliver Nightingale + * @license MIT + */ +!function(){var t=function(e){var n=new t.Index;return n.pipeline.add(t.trimmer,t.stopWordFilter,t.stemmer),e&&e.call(n,n),n};t.version="0.7.2",t.utils={},t.utils.warn=function(t){return function(e){t.console&&console.warn&&console.warn(e)}}(this),t.utils.asString=function(t){return void 0===t||null===t?"":t.toString()},t.EventEmitter=function(){this.events={}},t.EventEmitter.prototype.addListener=function(){var t=Array.prototype.slice.call(arguments),e=t.pop(),n=t;if("function"!=typeof e)throw new TypeError("last argument must be a function");n.forEach(function(t){this.hasHandler(t)||(this.events[t]=[]),this.events[t].push(e)},this)},t.EventEmitter.prototype.removeListener=function(t,e){if(this.hasHandler(t)){var n=this.events[t].indexOf(e);this.events[t].splice(n,1),this.events[t].length||delete this.events[t]}},t.EventEmitter.prototype.emit=function(t){if(this.hasHandler(t)){var e=Array.prototype.slice.call(arguments,1);this.events[t].forEach(function(t){t.apply(void 0,e)})}},t.EventEmitter.prototype.hasHandler=function(t){return t in this.events},t.tokenizer=function(e){if(!arguments.length||null==e||void 0==e)return[];if(Array.isArray(e))return e.map(function(e){return t.utils.asString(e).toLowerCase()});var n=t.tokenizer.seperator||t.tokenizer.separator;return e.toString().trim().toLowerCase().split(n)},t.tokenizer.seperator=!1,t.tokenizer.separator=/[\s\-]+/,t.tokenizer.load=function(t){var e=this.registeredFunctions[t];if(!e)throw new Error("Cannot load un-registered function: "+t);return e},t.tokenizer.label="default",t.tokenizer.registeredFunctions={"default":t.tokenizer},t.tokenizer.registerFunction=function(e,n){n in this.registeredFunctions&&t.utils.warn("Overwriting existing tokenizer: "+n),e.label=n,this.registeredFunctions[n]=e},t.Pipeline=function(){this._stack=[]},t.Pipeline.registeredFunctions={},t.Pipeline.registerFunction=function(e,n){n in this.registeredFunctions&&t.utils.warn("Overwriting existing registered function: "+n),e.label=n,t.Pipeline.registeredFunctions[e.label]=e},t.Pipeline.warnIfFunctionNotRegistered=function(e){var n=e.label&&e.label in this.registeredFunctions;n||t.utils.warn("Function is not registered with pipeline. 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r},t.Index.prototype.toJSON=function(){return{version:t.version,fields:this._fields,ref:this._ref,tokenizer:this.tokenizerFn.label,documentStore:this.documentStore.toJSON(),tokenStore:this.tokenStore.toJSON(),corpusTokens:this.corpusTokens.toJSON(),pipeline:this.pipeline.toJSON()}},t.Index.prototype.use=function(t){var e=Array.prototype.slice.call(arguments,1);e.unshift(this),t.apply(this,e)},t.Store=function(){this.store={},this.length=0},t.Store.load=function(e){var n=new this;return n.length=e.length,n.store=Object.keys(e.store).reduce(function(n,i){return n[i]=t.SortedSet.load(e.store[i]),n},{}),n},t.Store.prototype.set=function(t,e){this.has(t)||this.length++,this.store[t]=e},t.Store.prototype.get=function(t){return this.store[t]},t.Store.prototype.has=function(t){return t in this.store},t.Store.prototype.remove=function(t){this.has(t)&&(delete this.store[t],this.length--)},t.Store.prototype.toJSON=function(){return{store:this.store,length:this.length}},t.stemmer=function(){var t={ational:"ate",tional:"tion",enci:"ence",anci:"ance",izer:"ize",bli:"ble",alli:"al",entli:"ent",eli:"e",ousli:"ous",ization:"ize",ation:"ate",ator:"ate",alism:"al",iveness:"ive",fulness:"ful",ousness:"ous",aliti:"al",iviti:"ive",biliti:"ble",logi:"log"},e={icate:"ic",ative:"",alize:"al",iciti:"ic",ical:"ic",ful:"",ness:""},n="[^aeiou]",i="[aeiouy]",r=n+"[^aeiouy]*",o=i+"[aeiou]*",s="^("+r+")?"+o+r,a="^("+r+")?"+o+r+"("+o+")?$",h="^("+r+")?"+o+r+o+r,u="^("+r+")?"+i,l=new RegExp(s),c=new RegExp(h),f=new RegExp(a),d=new RegExp(u),p=/^(.+?)(ss|i)es$/,v=/^(.+?)([^s])s$/,g=/^(.+?)eed$/,m=/^(.+?)(ed|ing)$/,y=/.$/,S=/(at|bl|iz)$/,w=new RegExp("([^aeiouylsz])\\1$"),k=new RegExp("^"+r+i+"[^aeiouwxy]$"),x=/^(.+?[^aeiou])y$/,b=/^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/,E=/^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/,F=/^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/,_=/^(.+?)(s|t)(ion)$/,z=/^(.+?)e$/,O=/ll$/,P=new RegExp("^"+r+i+"[^aeiouwxy]$"),T=function(n){var i,r,o,s,a,h,u;if(n.length<3)return n;if(o=n.substr(0,1),"y"==o&&(n=o.toUpperCase()+n.substr(1)),s=p,a=v,s.test(n)?n=n.replace(s,"$1$2"):a.test(n)&&(n=n.replace(a,"$1$2")),s=g,a=m,s.test(n)){var T=s.exec(n);s=l,s.test(T[1])&&(s=y,n=n.replace(s,""))}else if(a.test(n)){var T=a.exec(n);i=T[1],a=d,a.test(i)&&(n=i,a=S,h=w,u=k,a.test(n)?n+="e":h.test(n)?(s=y,n=n.replace(s,"")):u.test(n)&&(n+="e"))}if(s=x,s.test(n)){var T=s.exec(n);i=T[1],n=i+"i"}if(s=b,s.test(n)){var T=s.exec(n);i=T[1],r=T[2],s=l,s.test(i)&&(n=i+t[r])}if(s=E,s.test(n)){var T=s.exec(n);i=T[1],r=T[2],s=l,s.test(i)&&(n=i+e[r])}if(s=F,a=_,s.test(n)){var T=s.exec(n);i=T[1],s=c,s.test(i)&&(n=i)}else if(a.test(n)){var T=a.exec(n);i=T[1]+T[2],a=c,a.test(i)&&(n=i)}if(s=z,s.test(n)){var T=s.exec(n);i=T[1],s=c,a=f,h=P,(s.test(i)||a.test(i)&&!h.test(i))&&(n=i)}return s=O,a=c,s.test(n)&&a.test(n)&&(s=y,n=n.replace(s,"")),"y"==o&&(n=o.toLowerCase()+n.substr(1)),n};return T}(),t.Pipeline.registerFunction(t.stemmer,"stemmer"),t.generateStopWordFilter=function(t){var e=t.reduce(function(t,e){return t[e]=e,t},{});return function(t){return t&&e[t]!==t?t:void 0}},t.stopWordFilter=t.generateStopWordFilter(["a","able","about","across","after","all","almost","also","am","among","an","and","any","are","as","at","be","because","been","but","by","can","cannot","could","dear","did","do","does","either","else","ever","every","for","from","get","got","had","has","have","he","her","hers","him","his","how","however","i","if","in","into","is","it","its","just","least","let","like","likely","may","me","might","most","must","my","neither","no","nor","not","of","off","often","on","only","or","other","our","own","rather","said","say","says","she","should","since","so","some","than","that","the","their","them","then","there","these","they","this","tis","to","too","twas","us","wants","was","we","were","what","when","where","which","while","who","whom","why","will","with","would","yet","you","your"]),t.Pipeline.registerFunction(t.stopWordFilter,"stopWordFilter"),t.trimmer=function(t){return t.replace(/^\W+/,"").replace(/\W+$/,"")},t.Pipeline.registerFunction(t.trimmer,"trimmer"),t.TokenStore=function(){this.root={docs:{}},this.length=0},t.TokenStore.load=function(t){var e=new this;return e.root=t.root,e.length=t.length,e},t.TokenStore.prototype.add=function(t,e,n){var n=n||this.root,i=t.charAt(0),r=t.slice(1);return i in n||(n[i]={docs:{}}),0===r.length?(n[i].docs[e.ref]=e,void(this.length+=1)):this.add(r,e,n[i])},t.TokenStore.prototype.has=function(t){if(!t)return!1;for(var e=this.root,n=0;n', + 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; + $e = $.Event(namespace + type); + (args = args || []).unshift($e); + this.$el.trigger.apply(this.$el, 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 + }; + 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); + 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 getRegex(patterns, caseSensitive, wordsOnly) { + var escapedPatterns = [], regexStr; + for (var i = 0, len = patterns.length; i < len; i++) { + escapedPatterns.push(_.escapeRegExChars(patterns[i])); + } + 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) { + o = o || {}; + if (!o.input) { + $.error("input is missing"); + } + www.mixin(this); + this.$hint = $(o.hint); + this.$input = $(o.input); + this.query = this.$input.val(); + this.queryWhenFocused = this.hasFocus() ? this.query : null; + this.$overflowHelper = buildOverflowHelper(this.$input); + this._checkLanguageDirection(); + if (this.$hint.length === 0) { + this.setHint = this.getHint = this.clearHint = this.clearHintIfInvalid = _.noop; + } + } + Input.normalizeQuery = function(str) { + return _.toStr(str).replace(/^\s*/g, "").replace(/\s{2,}/g, " "); + }; + _.mixin(Input.prototype, EventEmitter, { + _onBlur: function onBlur() { + this.resetInputValue(); + this.trigger("blurred"); + }, + _onFocus: function onFocus() { + this.queryWhenFocused = this.query; + this.trigger("focused"); + }, + _onKeydown: function onKeydown($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); + } + }, + 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 = $("
    "); + } + }); + return Input; + function buildOverflowHelper($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 = { + 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)) { + $.error("invalid dataset name: " + o.name); + } + www.mixin(this); + this.highlight = !!o.highlight; + this.name = o.name || nameGenerator(); + this.limit = o.limit || 5; + this.displayFn = getDisplayFn(o.display || o.displayKey); + this.templates = getTemplates(o.templates, this.displayFn); + this.source = o.source.__ttAdapter ? o.source.__ttAdapter() : o.source; + this.async = _.isUndefined(o.async) ? this.source.length > 2 : !!o.async; + this._resetLastSuggestion(); + this.$el = $(o.node).addClass(this.classes.dataset).addClass(this.classes.dataset + "-" + this.name); + } + Dataset.extractData = function extractData(el) { + var $el = $(el); + if ($el.data(keys.obj)) { + return { + val: $el.data(keys.val) || "", + obj: $el.data(keys.obj) || null + }; + } + return null; + }; + _.mixin(Dataset.prototype, EventEmitter, { + _overwrite: function overwrite(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (this.async && this.templates.pending) { + this._renderPending(query); + } else if (!this.async && this.templates.notFound) { + this._renderNotFound(query); + } else { + this._empty(); + } + this.trigger("rendered", this.name, suggestions, false); + }, + _append: function append(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length && this.$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", this.name, suggestions, true); + }, + _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 = $(that.templates.suggestion(context)).data(keys.obj, suggestion).data(keys.val, that.displayFn(suggestion)).addClass(that.classes.suggestion + " " + that.classes.selectable); + fragment.appendChild($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); + }; + 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); + } + } + function async(suggestions) { + suggestions = suggestions || []; + if (!canceled && rendered < that.limit) { + that.cancel = $.noop; + rendered += suggestions.length; + that._append(query, suggestions.slice(0, that.limit - rendered)); + that.async && that.trigger("asyncReceived", query); + } + } + }, + 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 || suggestionTemplate + }; + function suggestionTemplate(context) { + return $("
    ").text(displayFn(context)); + } + } + function isValidName(str) { + return /^[_a-zA-Z0-9-]+$/.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, isDatasetEmpty); + function isDatasetEmpty(dataset) { + return dataset.isEmpty(); + } + }, + _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); + _.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.addClass(this.classes.open); + }, + close: function close() { + 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 = $("
    "); + _.each(this.datasets, destroyDataset); + function destroyDataset(dataset) { + dataset.destroy(); + } + } + }); + return Menu; + }(); + var DefaultMenu = function() { + "use strict"; + var s = Menu.prototype; + function DefaultMenu() { + Menu.apply(this, [].slice.call(arguments, 0)); + } + _.mixin(DefaultMenu.prototype, Menu.prototype, { + open: function open() { + !this._allDatasetsEmpty() && this._show(); + return s.open.apply(this, [].slice.call(arguments, 0)); + }, + close: function close() { + this._hide(); + return s.close.apply(this, [].slice.call(arguments, 0)); + }, + _onRendered: function onRendered() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onRendered.apply(this, [].slice.call(arguments, 0)); + }, + _onCleared: function onCleared() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onCleared.apply(this, [].slice.call(arguments, 0)); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$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.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, dataset, suggestions, async) { + this._updateHint(); + 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()) { + this.select($selectable) && $e.preventDefault(); + } + }, + _onTabKeyed: function onTabKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + this.select($selectable) && $e.preventDefault(); + } else if ($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.getTopSelectable()); + } + }, + _onRightKeyed: function onRightKeyed() { + if (this.dir === "ltr" && this.input.isCursorAtEnd()) { + this.autocomplete(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 + ")(.+$)", "i"); + match = frontMatchRegEx.exec(data.val); + match && this.input.setHint(val + match[1]); + } else { + this.input.clearHint(); + } + }, + isEnabled: function isEnabled() { + return this.enabled; + }, + enable: function enable() { + this.enabled = true; + }, + disable: function disable() { + this.enabled = false; + }, + isActive: function isActive() { + return this.active; + }, + activate: function activate() { + if (this.isActive()) { + return true; + } else if (!this.isEnabled() || this.eventBus.before("active")) { + return false; + } else { + this.active = true; + this.eventBus.trigger("active"); + return true; + } + }, + deactivate: function deactivate() { + if (!this.isActive()) { + return true; + } else if (this.eventBus.before("idle")) { + return false; + } else { + this.active = false; + this.close(); + this.eventBus.trigger("idle"); + return true; + } + }, + isOpen: function isOpen() { + return this.menu.isOpen(); + }, + open: function open() { + if (!this.isOpen() && !this.eventBus.before("open")) { + this.menu.open(); + this._updateHint(); + this.eventBus.trigger("open"); + } + return this.isOpen(); + }, + close: function close() { + if (this.isOpen() && !this.eventBus.before("close")) { + this.menu.close(); + this.input.clearHint(); + this.input.resetInputValue(); + this.eventBus.trigger("close"); + } + return !this.isOpen(); + }, + setVal: function setVal(val) { + this.input.setQuery(_.toStr(val)); + }, + getVal: function getVal() { + return this.input.getQuery(); + }, + select: function select($selectable) { + var data = this.menu.getSelectableData($selectable); + if (data && !this.eventBus.before("select", data.obj)) { + this.input.setQuery(data.val, true); + this.eventBus.trigger("select", data.obj); + this.close(); + return true; + } + return false; + }, + autocomplete: function autocomplete($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)) { + this.input.setQuery(data.val); + this.eventBus.trigger("autocomplete", data.obj); + return true; + } + return false; + }, + moveCursor: function moveCursor(delta) { + var query, $candidate, data, payload, cancelMove; + query = this.input.getQuery(); + $candidate = this.menu.selectableRelativeToCursor(delta); + data = this.menu.getSelectableData($candidate); + payload = data ? data.obj : null; + cancelMove = this._minLengthMet() && this.menu.update(query); + if (!cancelMove && !this.eventBus.before("cursorchange", payload)) { + this.menu.setCursor($candidate); + if (data) { + this.input.setInputValue(data.val); + } else { + this.input.resetInputValue(); + this._updateHint(); + } + this.eventBus.trigger("cursorchange", payload); + 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, 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 + }, www); + menu = new MenuConstructor({ + node: $menu, + datasets: datasets + }, www); + typeahead = new Typeahead({ + input: input, + menu: menu, + eventBus: eventBus, + minLength: o.minLength + }, 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(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).removeAttr("id name placeholder required").attr({ + autocomplete: "off", + 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") + }); + $input.addClass(www.classes.input).attr({ + autocomplete: "off", + spellcheck: false + }); + try { + !$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) ? 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    + +

    +

    + +

    - + View on GitHub

    - + Install in Dash @@ -49,38 +58,31 @@

  • Extensions
  • - Functions + Structures -
    • -
  • - Protocols - -
    • -
  • - Structs -
    • @@ -91,7 +93,7 @@
    -

    BigInt

    +

    BigInt

    -

    Swift 3 -Documented +

    Swift 3 License Platform

    -

    Build Status -Code Coverage +

    Build Status +Code Coverage Carthage compatible Version

    -

    Overview

    +

    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>.

    @@ -131,7 +132,7 @@ you don’t want to add The GNU Multiple Precision Arithmetic Library as a dependency.

    -

    Two big integer types are included: BigUInt and BigInt, +

    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.

    @@ -140,43 +141,43 @@ big integers, including

    The implementations are intended to be reasonably efficient, but they are unlikely to be @@ -185,16 +186,16 @@

    The library has 100% unit test coverage. Sadly this does not imply that there are no bugs in it.

    -

    API Documentation

    +

    API Documentation

    -

    Generated API docs are available at http://lorentey.github.io/BigInt/.

    -

    License

    +

    Generated API docs are available at http://attaswift.github.io/BigInt/.

    +

    License

    -

    BigInt can be used, distributed and modified under the MIT license.

    -

    Requirements and Integration

    +

    BigInt can be used, distributed and modified under the MIT license.

    +

    Requirements and Integration

    -

    BigInt 2.1.0 requires Swift 3.0.1. (The last version with support for Swift 3.0.0 was BigInt 2.0.1. -The last version with support for Swift 2.2 was BigInt 1.3.0.)

    +

    BigInt 3.0.0 requires Swift 4. (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.)

    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, @@ -209,37 +210,37 @@

  • 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/lorentey/BigInt.git", majorVersion: 2, minorVersion: 1)
+
    .Package(url: "https://github.com/attaswift/BigInt.git", from: "3.0.0")

  • CocoaPods: Put this in your Podfile:

    -
    pod 'BigInt', '~> 2.1'
+
    pod 'BigInt', '~> 3.0'

  • Carthage: Put this in your Cartfile:

    -
    github "lorentey/BigInt" ~> 2.1
+
    github "attaswift/BigInt" ~> 3.0
    • -

    Implementation notes

    +

    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 +

    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 and a -sign bit, both of which are accessible as public read-write properties.

    -

    Full-width multiplication and division primitives

    +

    BigInt is just a tiny wrapper around a BigUInt absolute value and a +sign bit, both of which are accessible as public read-write properties.

    +

    Full-width multiplication and division primitives

    I haven’t found (64,64)->128 multiplication or (128,64)->64 division operations -in Swift, so the module has generic implementations for them in terms of the standard +in Swift, so the module has generic implementations for them in terms of the standard single-width * and / operators. I suspect there are LLVM intrinsics for full-width arithmetics that are probably accessible somehow, though. (Let me know if you know how!)

    This sounds slow, but 64-bit digits are still considerably faster than 32-bit, even though the latter can use direct 64-bit arithmetic to implement these primitives.

    -

    Why is there no generic BigInt<Digit> type?

    +

    Why is there no generic BigInt<Digit> type?

    -

    The types provided by BigInt are not parametric—this is very much intentional, as +

    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 @@ -249,14 +250,14 @@ 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.

    +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

    +

    Calculation Samples

    +

    Obligatory Factorial Demo

    -

    It is easy to use BigInt to calculate the factorial function for any integer:

    +

    It is easy to use BigInt to calculate the factorial function for any integer:

    import BigInt
 
 func factorial(_ n: Int) -> BigInt {
@@ -307,9 +308,9 @@

    Well, I guess that’s all right, but it’s not very interesting. Let’s try something more useful.

    -

    RSA Cryptography

    +

    RSA Cryptography

    -

    The BigInt module provides all necessary parts to implement an (overly) +

    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 @@ -376,7 +377,7 @@

    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 +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
@@ -407,9 +408,9 @@
 
    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
    
+
    Calculating the Digits of π
    
 
-
    Another fun activity to try with BigInts is to generate 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
@@ -469,8 +470,8 @@
    -

    © 2016 Károly Lőrentey. (Last updated: 2016-11-15)

    -

    Generated by jazzy ♪♫ v0.7.2, a Realm project.

    +

    © 2016 Károly Lőrentey. (Last updated: 2017-10-10)

    +

    Generated by jazzy ♪♫ v0.8.4, a Realm project.

    diff --git a/docs/js/jazzy.js b/docs/js/jazzy.js index e2b491d..009c80d 100755 --- a/docs/js/jazzy.js +++ b/docs/js/jazzy.js @@ -35,3 +35,9 @@ $(".token").click(function(event) { } event.preventDefault(); }); + +// Dumb down quotes within code blocks that delimit strings instead of quotations +// https://github.com/realm/jazzy/issues/714 +$("code q").replaceWith(function () { + return ["\"", $(this).contents(), "\""]; +}); diff --git a/docs/js/jazzy.search.js b/docs/js/jazzy.search.js new file mode 100644 index 0000000..54be83c --- /dev/null +++ b/docs/js/jazzy.search.js @@ -0,0 +1,62 @@ +$(function(){ + var searchIndex = lunr(function() { + this.ref('url'); + this.field('name'); + }); + + 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 = '
    '; + t += '' + result.name + ''; + if (result.parent_name) { + t += '' + result.parent_name + ''; + } + t += '
    '; + return t; + } + + $typeahead.one('focus', function() { + $form.addClass('loading'); + + $.getJSON(searchURL).then(function(searchData) { + $.each(searchData, function (url, doc) { + searchIndex.add({url: url, name: doc.name}); + }); + + $typeahead.typeahead( + { + highlight: true, + minLength: 3 + }, + { + limit: 10, + display: displayTemplate, + templates: { suggestion: suggestionTemplate }, + source: function(query, sync) { + var results = searchIndex.search(query).map(function(result) { + var doc = searchData[result.ref]; + doc.url = result.ref; + return doc; + }); + sync(results); + } + } + ); + $form.removeClass('loading'); + $typeahead.trigger('focus'); + }); + }); + + var baseURL = searchURL.slice(0, -"search.json".length); + + $typeahead.on('typeahead:select', function(e, result) { + window.location = baseURL + result.url; + }); +}); diff --git a/docs/js/lunr.min.js b/docs/js/lunr.min.js new file mode 100755 index 0000000..22776bb --- /dev/null +++ b/docs/js/lunr.min.js @@ -0,0 +1,6 @@ +/** + * lunr - http://lunrjs.com - A bit like Solr, but much smaller and not as bright - 0.7.2 + * Copyright (C) 2016 Oliver Nightingale + * @license MIT + */ +!function(){var t=function(e){var n=new t.Index;return n.pipeline.add(t.trimmer,t.stopWordFilter,t.stemmer),e&&e.call(n,n),n};t.version="0.7.2",t.utils={},t.utils.warn=function(t){return function(e){t.console&&console.warn&&console.warn(e)}}(this),t.utils.asString=function(t){return void 0===t||null===t?"":t.toString()},t.EventEmitter=function(){this.events={}},t.EventEmitter.prototype.addListener=function(){var t=Array.prototype.slice.call(arguments),e=t.pop(),n=t;if("function"!=typeof e)throw new TypeError("last argument must be a function");n.forEach(function(t){this.hasHandler(t)||(this.events[t]=[]),this.events[t].push(e)},this)},t.EventEmitter.prototype.removeListener=function(t,e){if(this.hasHandler(t)){var n=this.events[t].indexOf(e);this.events[t].splice(n,1),this.events[t].length||delete this.events[t]}},t.EventEmitter.prototype.emit=function(t){if(this.hasHandler(t)){var e=Array.prototype.slice.call(arguments,1);this.events[t].forEach(function(t){t.apply(void 0,e)})}},t.EventEmitter.prototype.hasHandler=function(t){return t in this.events},t.tokenizer=function(e){if(!arguments.length||null==e||void 0==e)return[];if(Array.isArray(e))return e.map(function(e){return t.utils.asString(e).toLowerCase()});var n=t.tokenizer.seperator||t.tokenizer.separator;return e.toString().trim().toLowerCase().split(n)},t.tokenizer.seperator=!1,t.tokenizer.separator=/[\s\-]+/,t.tokenizer.load=function(t){var e=this.registeredFunctions[t];if(!e)throw new Error("Cannot load un-registered function: "+t);return e},t.tokenizer.label="default",t.tokenizer.registeredFunctions={"default":t.tokenizer},t.tokenizer.registerFunction=function(e,n){n in this.registeredFunctions&&t.utils.warn("Overwriting existing tokenizer: "+n),e.label=n,this.registeredFunctions[n]=e},t.Pipeline=function(){this._stack=[]},t.Pipeline.registeredFunctions={},t.Pipeline.registerFunction=function(e,n){n in this.registeredFunctions&&t.utils.warn("Overwriting existing registered function: "+n),e.label=n,t.Pipeline.registeredFunctions[e.label]=e},t.Pipeline.warnIfFunctionNotRegistered=function(e){var n=e.label&&e.label in this.registeredFunctions;n||t.utils.warn("Function is not registered with pipeline. This may cause problems when serialising the index.\n",e)},t.Pipeline.load=function(e){var n=new t.Pipeline;return e.forEach(function(e){var i=t.Pipeline.registeredFunctions[e];if(!i)throw new Error("Cannot load un-registered function: "+e);n.add(i)}),n},t.Pipeline.prototype.add=function(){var e=Array.prototype.slice.call(arguments);e.forEach(function(e){t.Pipeline.warnIfFunctionNotRegistered(e),this._stack.push(e)},this)},t.Pipeline.prototype.after=function(e,n){t.Pipeline.warnIfFunctionNotRegistered(n);var i=this._stack.indexOf(e);if(-1==i)throw new Error("Cannot find existingFn");i+=1,this._stack.splice(i,0,n)},t.Pipeline.prototype.before=function(e,n){t.Pipeline.warnIfFunctionNotRegistered(n);var i=this._stack.indexOf(e);if(-1==i)throw new Error("Cannot find existingFn");this._stack.splice(i,0,n)},t.Pipeline.prototype.remove=function(t){var e=this._stack.indexOf(t);-1!=e&&this._stack.splice(e,1)},t.Pipeline.prototype.run=function(t){for(var e=[],n=t.length,i=this._stack.length,r=0;n>r;r++){for(var o=t[r],s=0;i>s&&(o=this._stack[s](o,r,t),void 0!==o&&""!==o);s++);void 0!==o&&""!==o&&e.push(o)}return e},t.Pipeline.prototype.reset=function(){this._stack=[]},t.Pipeline.prototype.toJSON=function(){return this._stack.map(function(e){return t.Pipeline.warnIfFunctionNotRegistered(e),e.label})},t.Vector=function(){this._magnitude=null,this.list=void 0,this.length=0},t.Vector.Node=function(t,e,n){this.idx=t,this.val=e,this.next=n},t.Vector.prototype.insert=function(e,n){this._magnitude=void 0;var i=this.list;if(!i)return this.list=new t.Vector.Node(e,n,i),this.length++;if(en.idx?n=n.next:(i+=e.val*n.val,e=e.next,n=n.next);return i},t.Vector.prototype.similarity=function(t){return this.dot(t)/(this.magnitude()*t.magnitude())},t.SortedSet=function(){this.length=0,this.elements=[]},t.SortedSet.load=function(t){var e=new this;return e.elements=t,e.length=t.length,e},t.SortedSet.prototype.add=function(){var t,e;for(t=0;t1;){if(o===t)return r;t>o&&(e=r),o>t&&(n=r),i=n-e,r=e+Math.floor(i/2),o=this.elements[r]}return o===t?r:-1},t.SortedSet.prototype.locationFor=function(t){for(var e=0,n=this.elements.length,i=n-e,r=e+Math.floor(i/2),o=this.elements[r];i>1;)t>o&&(e=r),o>t&&(n=r),i=n-e,r=e+Math.floor(i/2),o=this.elements[r];return o>t?r:t>o?r+1:void 0},t.SortedSet.prototype.intersect=function(e){for(var n=new t.SortedSet,i=0,r=0,o=this.length,s=e.length,a=this.elements,h=e.elements;;){if(i>o-1||r>s-1)break;a[i]!==h[r]?a[i]h[r]&&r++:(n.add(a[i]),i++,r++)}return n},t.SortedSet.prototype.clone=function(){var e=new t.SortedSet;return e.elements=this.toArray(),e.length=e.elements.length,e},t.SortedSet.prototype.union=function(t){var e,n,i;this.length>=t.length?(e=this,n=t):(e=t,n=this),i=e.clone();for(var r=0,o=n.toArray();rp;p++)c[p]===a&&d++;h+=d/f*l.boost}}this.tokenStore.add(a,{ref:o,tf:h})}n&&this.eventEmitter.emit("add",e,this)},t.Index.prototype.remove=function(t,e){var n=t[this._ref],e=void 0===e?!0:e;if(this.documentStore.has(n)){var i=this.documentStore.get(n);this.documentStore.remove(n),i.forEach(function(t){this.tokenStore.remove(t,n)},this),e&&this.eventEmitter.emit("remove",t,this)}},t.Index.prototype.update=function(t,e){var e=void 0===e?!0:e;this.remove(t,!1),this.add(t,!1),e&&this.eventEmitter.emit("update",t,this)},t.Index.prototype.idf=function(t){var e="@"+t;if(Object.prototype.hasOwnProperty.call(this._idfCache,e))return this._idfCache[e];var n=this.tokenStore.count(t),i=1;return n>0&&(i=1+Math.log(this.documentStore.length/n)),this._idfCache[e]=i},t.Index.prototype.search=function(e){var n=this.pipeline.run(this.tokenizerFn(e)),i=new t.Vector,r=[],o=this._fields.reduce(function(t,e){return t+e.boost},0),s=n.some(function(t){return this.tokenStore.has(t)},this);if(!s)return[];n.forEach(function(e,n,s){var a=1/s.length*this._fields.length*o,h=this,u=this.tokenStore.expand(e).reduce(function(n,r){var o=h.corpusTokens.indexOf(r),s=h.idf(r),u=1,l=new t.SortedSet;if(r!==e){var c=Math.max(3,r.length-e.length);u=1/Math.log(c)}o>-1&&i.insert(o,a*s*u);for(var f=h.tokenStore.get(r),d=Object.keys(f),p=d.length,v=0;p>v;v++)l.add(f[d[v]].ref);return n.union(l)},new t.SortedSet);r.push(u)},this);var a=r.reduce(function(t,e){return t.intersect(e)});return a.map(function(t){return{ref:t,score:i.similarity(this.documentVector(t))}},this).sort(function(t,e){return e.score-t.score})},t.Index.prototype.documentVector=function(e){for(var n=this.documentStore.get(e),i=n.length,r=new t.Vector,o=0;i>o;o++){var s=n.elements[o],a=this.tokenStore.get(s)[e].tf,h=this.idf(s);r.insert(this.corpusTokens.indexOf(s),a*h)}return r},t.Index.prototype.toJSON=function(){return{version:t.version,fields:this._fields,ref:this._ref,tokenizer:this.tokenizerFn.label,documentStore:this.documentStore.toJSON(),tokenStore:this.tokenStore.toJSON(),corpusTokens:this.corpusTokens.toJSON(),pipeline:this.pipeline.toJSON()}},t.Index.prototype.use=function(t){var e=Array.prototype.slice.call(arguments,1);e.unshift(this),t.apply(this,e)},t.Store=function(){this.store={},this.length=0},t.Store.load=function(e){var n=new this;return n.length=e.length,n.store=Object.keys(e.store).reduce(function(n,i){return n[i]=t.SortedSet.load(e.store[i]),n},{}),n},t.Store.prototype.set=function(t,e){this.has(t)||this.length++,this.store[t]=e},t.Store.prototype.get=function(t){return this.store[t]},t.Store.prototype.has=function(t){return t in this.store},t.Store.prototype.remove=function(t){this.has(t)&&(delete this.store[t],this.length--)},t.Store.prototype.toJSON=function(){return{store:this.store,length:this.length}},t.stemmer=function(){var t={ational:"ate",tional:"tion",enci:"ence",anci:"ance",izer:"ize",bli:"ble",alli:"al",entli:"ent",eli:"e",ousli:"ous",ization:"ize",ation:"ate",ator:"ate",alism:"al",iveness:"ive",fulness:"ful",ousness:"ous",aliti:"al",iviti:"ive",biliti:"ble",logi:"log"},e={icate:"ic",ative:"",alize:"al",iciti:"ic",ical:"ic",ful:"",ness:""},n="[^aeiou]",i="[aeiouy]",r=n+"[^aeiouy]*",o=i+"[aeiou]*",s="^("+r+")?"+o+r,a="^("+r+")?"+o+r+"("+o+")?$",h="^("+r+")?"+o+r+o+r,u="^("+r+")?"+i,l=new RegExp(s),c=new RegExp(h),f=new RegExp(a),d=new RegExp(u),p=/^(.+?)(ss|i)es$/,v=/^(.+?)([^s])s$/,g=/^(.+?)eed$/,m=/^(.+?)(ed|ing)$/,y=/.$/,S=/(at|bl|iz)$/,w=new RegExp("([^aeiouylsz])\\1$"),k=new RegExp("^"+r+i+"[^aeiouwxy]$"),x=/^(.+?[^aeiou])y$/,b=/^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/,E=/^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/,F=/^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/,_=/^(.+?)(s|t)(ion)$/,z=/^(.+?)e$/,O=/ll$/,P=new RegExp("^"+r+i+"[^aeiouwxy]$"),T=function(n){var i,r,o,s,a,h,u;if(n.length<3)return n;if(o=n.substr(0,1),"y"==o&&(n=o.toUpperCase()+n.substr(1)),s=p,a=v,s.test(n)?n=n.replace(s,"$1$2"):a.test(n)&&(n=n.replace(a,"$1$2")),s=g,a=m,s.test(n)){var T=s.exec(n);s=l,s.test(T[1])&&(s=y,n=n.replace(s,""))}else if(a.test(n)){var T=a.exec(n);i=T[1],a=d,a.test(i)&&(n=i,a=S,h=w,u=k,a.test(n)?n+="e":h.test(n)?(s=y,n=n.replace(s,"")):u.test(n)&&(n+="e"))}if(s=x,s.test(n)){var T=s.exec(n);i=T[1],n=i+"i"}if(s=b,s.test(n)){var T=s.exec(n);i=T[1],r=T[2],s=l,s.test(i)&&(n=i+t[r])}if(s=E,s.test(n)){var T=s.exec(n);i=T[1],r=T[2],s=l,s.test(i)&&(n=i+e[r])}if(s=F,a=_,s.test(n)){var T=s.exec(n);i=T[1],s=c,s.test(i)&&(n=i)}else if(a.test(n)){var T=a.exec(n);i=T[1]+T[2],a=c,a.test(i)&&(n=i)}if(s=z,s.test(n)){var T=s.exec(n);i=T[1],s=c,a=f,h=P,(s.test(i)||a.test(i)&&!h.test(i))&&(n=i)}return s=O,a=c,s.test(n)&&a.test(n)&&(s=y,n=n.replace(s,"")),"y"==o&&(n=o.toLowerCase()+n.substr(1)),n};return T}(),t.Pipeline.registerFunction(t.stemmer,"stemmer"),t.generateStopWordFilter=function(t){var e=t.reduce(function(t,e){return t[e]=e,t},{});return function(t){return t&&e[t]!==t?t:void 0}},t.stopWordFilter=t.generateStopWordFilter(["a","able","about","across","after","all","almost","also","am","among","an","and","any","are","as","at","be","because","been","but","by","can","cannot","could","dear","did","do","does","either","else","ever","every","for","from","get","got","had","has","have","he","her","hers","him","his","how","however","i","if","in","into","is","it","its","just","least","let","like","likely","may","me","might","most","must","my","neither","no","nor","not","of","off","often","on","only","or","other","our","own","rather","said","say","says","she","should","since","so","some","than","that","the","their","them","then","there","these","they","this","tis","to","too","twas","us","wants","was","we","were","what","when","where","which","while","who","whom","why","will","with","would","yet","you","your"]),t.Pipeline.registerFunction(t.stopWordFilter,"stopWordFilter"),t.trimmer=function(t){return t.replace(/^\W+/,"").replace(/\W+$/,"")},t.Pipeline.registerFunction(t.trimmer,"trimmer"),t.TokenStore=function(){this.root={docs:{}},this.length=0},t.TokenStore.load=function(t){var e=new this;return e.root=t.root,e.length=t.length,e},t.TokenStore.prototype.add=function(t,e,n){var n=n||this.root,i=t.charAt(0),r=t.slice(1);return i in n||(n[i]={docs:{}}),0===r.length?(n[i].docs[e.ref]=e,void(this.length+=1)):this.add(r,e,n[i])},t.TokenStore.prototype.has=function(t){if(!t)return!1;for(var e=this.root,n=0;n', + 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; + $e = $.Event(namespace + type); + (args = args || []).unshift($e); + this.$el.trigger.apply(this.$el, 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 + }; + 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); + 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 getRegex(patterns, caseSensitive, wordsOnly) { + var escapedPatterns = [], regexStr; + for (var i = 0, len = patterns.length; i < len; i++) { + escapedPatterns.push(_.escapeRegExChars(patterns[i])); + } + 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) { + o = o || {}; + if (!o.input) { + $.error("input is missing"); + } + www.mixin(this); + this.$hint = $(o.hint); + this.$input = $(o.input); + this.query = this.$input.val(); + this.queryWhenFocused = this.hasFocus() ? this.query : null; + this.$overflowHelper = buildOverflowHelper(this.$input); + this._checkLanguageDirection(); + if (this.$hint.length === 0) { + this.setHint = this.getHint = this.clearHint = this.clearHintIfInvalid = _.noop; + } + } + Input.normalizeQuery = function(str) { + return _.toStr(str).replace(/^\s*/g, "").replace(/\s{2,}/g, " "); + }; + _.mixin(Input.prototype, EventEmitter, { + _onBlur: function onBlur() { + this.resetInputValue(); + this.trigger("blurred"); + }, + _onFocus: function onFocus() { + this.queryWhenFocused = this.query; + this.trigger("focused"); + }, + _onKeydown: function onKeydown($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); + } + }, + 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 = $("
    "); + } + }); + return Input; + function buildOverflowHelper($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 = { + 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)) { + $.error("invalid dataset name: " + o.name); + } + www.mixin(this); + this.highlight = !!o.highlight; + this.name = o.name || nameGenerator(); + this.limit = o.limit || 5; + this.displayFn = getDisplayFn(o.display || o.displayKey); + this.templates = getTemplates(o.templates, this.displayFn); + this.source = o.source.__ttAdapter ? o.source.__ttAdapter() : o.source; + this.async = _.isUndefined(o.async) ? this.source.length > 2 : !!o.async; + this._resetLastSuggestion(); + this.$el = $(o.node).addClass(this.classes.dataset).addClass(this.classes.dataset + "-" + this.name); + } + Dataset.extractData = function extractData(el) { + var $el = $(el); + if ($el.data(keys.obj)) { + return { + val: $el.data(keys.val) || "", + obj: $el.data(keys.obj) || null + }; + } + return null; + }; + _.mixin(Dataset.prototype, EventEmitter, { + _overwrite: function overwrite(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length) { + this._renderSuggestions(query, suggestions); + } else if (this.async && this.templates.pending) { + this._renderPending(query); + } else if (!this.async && this.templates.notFound) { + this._renderNotFound(query); + } else { + this._empty(); + } + this.trigger("rendered", this.name, suggestions, false); + }, + _append: function append(query, suggestions) { + suggestions = suggestions || []; + if (suggestions.length && this.$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", this.name, suggestions, true); + }, + _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 = $(that.templates.suggestion(context)).data(keys.obj, suggestion).data(keys.val, that.displayFn(suggestion)).addClass(that.classes.suggestion + " " + that.classes.selectable); + fragment.appendChild($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); + }; + 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); + } + } + function async(suggestions) { + suggestions = suggestions || []; + if (!canceled && rendered < that.limit) { + that.cancel = $.noop; + rendered += suggestions.length; + that._append(query, suggestions.slice(0, that.limit - rendered)); + that.async && that.trigger("asyncReceived", query); + } + } + }, + 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 || suggestionTemplate + }; + function suggestionTemplate(context) { + return $("
    ").text(displayFn(context)); + } + } + function isValidName(str) { + return /^[_a-zA-Z0-9-]+$/.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, isDatasetEmpty); + function isDatasetEmpty(dataset) { + return dataset.isEmpty(); + } + }, + _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); + _.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.addClass(this.classes.open); + }, + close: function close() { + 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 = $("
    "); + _.each(this.datasets, destroyDataset); + function destroyDataset(dataset) { + dataset.destroy(); + } + } + }); + return Menu; + }(); + var DefaultMenu = function() { + "use strict"; + var s = Menu.prototype; + function DefaultMenu() { + Menu.apply(this, [].slice.call(arguments, 0)); + } + _.mixin(DefaultMenu.prototype, Menu.prototype, { + open: function open() { + !this._allDatasetsEmpty() && this._show(); + return s.open.apply(this, [].slice.call(arguments, 0)); + }, + close: function close() { + this._hide(); + return s.close.apply(this, [].slice.call(arguments, 0)); + }, + _onRendered: function onRendered() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onRendered.apply(this, [].slice.call(arguments, 0)); + }, + _onCleared: function onCleared() { + if (this._allDatasetsEmpty()) { + this._hide(); + } else { + this.isOpen() && this._show(); + } + return s._onCleared.apply(this, [].slice.call(arguments, 0)); + }, + setLanguageDirection: function setLanguageDirection(dir) { + this.$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.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, dataset, suggestions, async) { + this._updateHint(); + 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()) { + this.select($selectable) && $e.preventDefault(); + } + }, + _onTabKeyed: function onTabKeyed(type, $e) { + var $selectable; + if ($selectable = this.menu.getActiveSelectable()) { + this.select($selectable) && $e.preventDefault(); + } else if ($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.getTopSelectable()); + } + }, + _onRightKeyed: function onRightKeyed() { + if (this.dir === "ltr" && this.input.isCursorAtEnd()) { + this.autocomplete(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 + ")(.+$)", "i"); + match = frontMatchRegEx.exec(data.val); + match && this.input.setHint(val + match[1]); + } else { + this.input.clearHint(); + } + }, + isEnabled: function isEnabled() { + return this.enabled; + }, + enable: function enable() { + this.enabled = true; + }, + disable: function disable() { + this.enabled = false; + }, + isActive: function isActive() { + return this.active; + }, + activate: function activate() { + if (this.isActive()) { + return true; + } else if (!this.isEnabled() || this.eventBus.before("active")) { + return false; + } else { + this.active = true; + this.eventBus.trigger("active"); + return true; + } + }, + deactivate: function deactivate() { + if (!this.isActive()) { + return true; + } else if (this.eventBus.before("idle")) { + return false; + } else { + this.active = false; + this.close(); + this.eventBus.trigger("idle"); + return true; + } + }, + isOpen: function isOpen() { + return this.menu.isOpen(); + }, + open: function open() { + if (!this.isOpen() && !this.eventBus.before("open")) { + this.menu.open(); + this._updateHint(); + this.eventBus.trigger("open"); + } + return this.isOpen(); + }, + close: function close() { + if (this.isOpen() && !this.eventBus.before("close")) { + this.menu.close(); + this.input.clearHint(); + this.input.resetInputValue(); + this.eventBus.trigger("close"); + } + return !this.isOpen(); + }, + setVal: function setVal(val) { + this.input.setQuery(_.toStr(val)); + }, + getVal: function getVal() { + return this.input.getQuery(); + }, + select: function select($selectable) { + var data = this.menu.getSelectableData($selectable); + if (data && !this.eventBus.before("select", data.obj)) { + this.input.setQuery(data.val, true); + this.eventBus.trigger("select", data.obj); + this.close(); + return true; + } + return false; + }, + autocomplete: function autocomplete($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)) { + this.input.setQuery(data.val); + this.eventBus.trigger("autocomplete", data.obj); + return true; + } + return false; + }, + moveCursor: function moveCursor(delta) { + var query, $candidate, data, payload, cancelMove; + query = this.input.getQuery(); + $candidate = this.menu.selectableRelativeToCursor(delta); + data = this.menu.getSelectableData($candidate); + payload = data ? data.obj : null; + cancelMove = this._minLengthMet() && this.menu.update(query); + if (!cancelMove && !this.eventBus.before("cursorchange", payload)) { + this.menu.setCursor($candidate); + if (data) { + this.input.setInputValue(data.val); + } else { + this.input.resetInputValue(); + this._updateHint(); + } + this.eventBus.trigger("cursorchange", payload); + 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, 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 + }, www); + menu = new MenuConstructor({ + node: $menu, + datasets: datasets + }, www); + typeahead = new Typeahead({ + input: input, + menu: menu, + eventBus: eventBus, + minLength: o.minLength + }, 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(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).removeAttr("id name placeholder required").attr({ + autocomplete: "off", + 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") + }); + $input.addClass(www.classes.input).attr({ + autocomplete: "off", + spellcheck: false + }); + try { + !$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/search.json b/docs/search.json new file mode 100644 index 0000000..3f6d5e8 --- /dev/null +++ b/docs/search.json @@ -0,0 +1 @@ +{"Structs/BigInt/Words.html#/s:s10CollectionP5count13IndexDistanceQzv":{"name":"count","parent_name":"Words"},"Structs/BigInt/Words.html#/s:s22RandomAccessCollectionP7indices7IndicesQzv":{"name":"indices","parent_name":"Words"},"Structs/BigInt/Words.html#/s:s14_IndexableBaseP10startIndex0D0Qzv":{"name":"startIndex","parent_name":"Words"},"Structs/BigInt/Words.html#/s:s14_IndexableBaseP8endIndex0D0Qzv":{"name":"endIndex","parent_name":"Words"},"Structs/BigInt/Sign.html#/s:6BigIntAAV4SignO4plusA2DmF":{"name":"plus","abstract":"

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"source_directory": "/Users/lorentey/Git/BigInt" + "source_directory": "/Users/andrew/work/BigInt" } \ No newline at end of file From 6e0dca72a212907719cb1f0db28bbf3924ab2866 Mon Sep 17 00:00:00 2001 From: Andrew Hannon Date: Tue, 10 Oct 2017 10:48:24 -0400 Subject: [PATCH 2/2] Bumped build and version numbers --- BigInt.podspec | 2 +- CHANGELOG.md | 7 +++++++ version.xcconfig | 4 ++-- 3 files changed, 10 insertions(+), 3 deletions(-) diff --git a/BigInt.podspec b/BigInt.podspec index f907a03..6518b15 100644 --- a/BigInt.podspec +++ b/BigInt.podspec @@ -1,7 +1,7 @@ Pod::Spec.new do |spec| spec.name = 'BigInt' - spec.version = '3.0.0' + spec.version = '3.0.1' spec.ios.deployment_target = "8.0" spec.osx.deployment_target = "10.9" spec.tvos.deployment_target = "9.0" diff --git a/CHANGELOG.md b/CHANGELOG.md index 9581d98..7a5de4e 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -1,3 +1,10 @@ +# 3.0.1 (2017-10-10) + +This release contains the following bug fixes: + +- Issue #27 — changing scope of `BigUInt` methods `kind` and `storage` to be `fileprivate` +- Making `subscript` method of `BigUInt` public + # 3.0.0 (2017-09-07) This is a major release upgrading BigInt to the new integer protocols introduced in Swift 4 as part of [SE-0104, Protocol-oriented integers][se-0104]. diff --git a/version.xcconfig b/version.xcconfig index 82cc4b5..3bf2c7c 100644 --- a/version.xcconfig +++ b/version.xcconfig @@ -1,6 +1,6 @@ // Increment the build number whenever you modify the version string. -VERSION_STRING = 3.0.0 -BUILD_NUMBER = 8 +VERSION_STRING = 3.0.1 +BUILD_NUMBER = 9 PROJECT_NAME = BigInt BUNDLE_IDENTIFIER_BASE = org.attaswift.$(PROJECT_NAME)