BFraction

Overview

Please, see About BFraction

Constants

• static let ZERO: BFraction

  BFraction(0, 1)

• static let ONE: BFraction

  BFraction(1, 1)

Properties

• var abs: BFraction

  The absolute value of self

• var denominator: BInt

  The denominator - a positive BInt value

• var description: String

  String value of self

• var isInteger: Bool

  Is true if self is an integer, that is, the denominator is 1

• var isNegative: Bool

  Is true if self < 0, false otherwise

• var isPositive: Bool

  Is true if self > 0, false otherwise

• var isZero: Bool

  Is true if self = 0, false otherwise

• var numerator: BInt

  The numerator - a BInt value

• var signum: Int

  Is 0 if self = 0, 1 if self > 0, and -1 if self < 0

Constructors

• init(BInt, BInt)

  Constructs a BFraction from numerator and denominator

• init(BInt, Int)

  Constructs a BFraction from numerator and denominator

• init(Int, BInt)

  Constructs a BFraction from numerator and denominator

• init(Int, Int)

  Constructs a BFraction from numerator and denominator

• init([BInt])

  Constructs a BFraction from a continued fraction - BInt version

• init([Int])

  Constructs a BFraction from a continued fraction - Int version

• init?(Double)

  Constructs a BFraction from a decimal value, nil if d is infinite or NaN

• init?(String)

  Constructs a BFraction from a String representation, nil if x does not represent a decimal number

Conversion

• func asString() -> String

  self as a String

• func asDecimalString(precision: Int, exponential: Bool) -> String

  self as a Decimal String with a specified precision, possibly using exponential notation

• func asDouble() -> Double

  self as a Double

• func asContinuedFraction() -> [BInt]

  self as a Continued Fraction

Addition

• static func + (x: BFraction) -> BFraction

  Prefix plus

• static func + (x: BFraction, y: BFraction) -> BFraction

  Addition

• static func + (x: BFraction, y: BInt) -> BFraction

  Addition

• static func + (x: BInt, y: BFraction) -> BFraction

  Addition

• static func + (x: BFraction, y: Int) -> BFraction

  Addition

• static func + (x: Int, y: BFraction) -> BFraction

  Addition

• static func += (x: inout BFraction, y: BFraction)

  x = x + y

• static func += (x: inout BFraction, y: BInt)

  x = x + y

• static func += (x: inout BFraction, y: Int)

  x = x + y

Subtraction

• static func - (x: BFraction, y: BFraction) -> BFraction

  Subtraction

• static func - (x: BFraction, y: BInt) -> BFraction

  Subtraction

• static func - (x: BInt, y: BFraction) -> BFraction

  Subtraction

• static func - (x: BFraction, y: Int) -> BFraction

  Subtraction

• static func - (x: Int, y: BFraction) -> BFraction

  Subtraction

• static func -= (x: inout BFraction, y: BFraction)

  x = x - y

• static func -= (x: inout BFraction, y: BInt)

  x = x - y

• static func -= (x: inout BFraction, y: Int)

  x = x - y

Negation

• static func - (x: BFraction) -> BFraction

  Negation

• func negate()

  Negates self

Multiplication

• static func * (x: BFraction, y: BFraction) -> BFraction

  Multiplication

• static func * (x: BFraction, y: BInt) -> BFraction

  Multiplication

• static func * (x: BInt, y: BFraction) -> BFraction

  Multiplication

• static func * (x: BFraction, y: Int) -> BFraction

  Multiplication

• static func * (x: Int, y: BFraction) -> BFraction

  Multiplication

• static func *= (x: inout BFraction, y: BFraction)

  x = x * y

• static func *= (x: inout BFraction, y: BInt)

  x = x * y

• static func *= (x: inout BFraction, y: Int)

  x = x * y

Division

• /(_:_:)-3syd2
• /(_:_:)-36e09
• /(_:_:)-f4k1
• /(_:_:)-nbpu
• /(_:_:)-6s4x9
• /=(_:_:)-5kwdi
• /=(_:_:)-9882z
• /=(_:_:)-an0e
• func invert() -> BFraction

  Invert self

Exponentiation

• static func ** (a: BFraction, x: Int) -> BFraction

  Exponentiation

Modulus

• func mod(BInt) -> BInt?

  Modulus - BInt version

• func mod(Int) -> Int?

  Modulus - Int version

Comparison

• static func == (x: BFraction, y: BFraction) -> Bool

  Equal

• static func == (x: BFraction, y: BInt) -> Bool

  Equal

• static func == (x: BInt, y: BFraction) -> Bool

  Equal

• static func == (x: BFraction, y: Int) -> Bool

  Equal

• static func == (x: Int, y: BFraction) -> Bool

  Equal

• static func != (x: BFraction, y: BFraction) -> Bool

  Not equal

• static func != (x: BFraction, y: BInt) -> Bool

  Not equal

• static func != (x: BInt, y: BFraction) -> Bool

  Not equal

• static func != (x: BFraction, y: Int) -> Bool

  Not equal

• static func != (x: Int, y: BFraction) -> Bool

  Not equal

• static func < (x: BFraction, y: BFraction) -> Bool

  Less than

• static func < (x: BFraction, y: BInt) -> Bool

  Less than

• static func < (x: BInt, y: BFraction) -> Bool

  Less than

• static func < (x: BFraction, y: Int) -> Bool

  Less than

• static func < (x: Int, y: BFraction) -> Bool

  Less than

• static func > (x: BFraction, y: BFraction) -> Bool

  Greater than

• static func > (x: BFraction, y: BInt) -> Bool

  Greater than

• static func > (x: BInt, y: BFraction) -> Bool

  Greater than

• static func > (x: BFraction, y: Int) -> Bool

  Greater than

• static func > (x: Int, y: BFraction) -> Bool

  Greater than

• static func <= (x: BFraction, y: BFraction) -> Bool

  Less than or equal

• static func <= (x: BFraction, y: BInt) -> Bool

  Less than or equal

• static func <= (x: BInt, y: BFraction) -> Bool

  Less than or equal

• static func <= (x: BFraction, y: Int) -> Bool

  Less than or equal

• static func <= (x: Int, y: BFraction) -> Bool

  Less than or equal

• static func >= (x: BFraction, y: BFraction) -> Bool

  Greater than or equal

• static func >= (x: BFraction, y: BInt) -> Bool

  Greater than or equal

• static func >= (x: BInt, y: BFraction) -> Bool

  Greater than or equal

• static func >= (x: BFraction, y: Int) -> Bool

  Greater than or equal

• static func >= (x: Int, y: BFraction) -> Bool

  Greater than or equal

Rounding

• func round() -> BInt

  Round to nearest

• func truncate() -> BInt

  Round towards 0

• func ceil() -> BInt

  Round towards +Infinity

• func floor() -> BInt

  Round towards -Infinity

Miscellaneous

• static func bernoulli(Int) -> BFraction

  Bernoulli number

• static func bernoulliSequence(Int) -> [BFraction]

  Bernoulli numbers

• static func harmonic(Int) -> BFraction

  Harmonic number: 1 + 1 / 2 + … + 1 / n

• static func harmonicSequence(Int) -> [BFraction]

  Harmonic sequence: The first n harmonic numbers