Static Methodmgriebling.bigint 2.3.0BigInt
bernoulli(_:)
Bernoulli number
static func bernoulli(_ n: Int) -> BFraction Parameters
- n
The Bernoulli index
Returns
The n’th Bernoulli number
Bernoulli number
static func bernoulli(_ n: Int) -> BFraction The Bernoulli index
The n’th Bernoulli number
import BigIntSigned integers and fractions of unbounded size
struct BFractionThe BFraction structure
@frozen struct IntA signed integer value type.
static func bernoulliSequence(_ n: Int) -> [BFraction] Bernoulli numbers
static func harmonic(_ n: Int) -> BFraction Harmonic number: 1 + 1 / 2 + … + 1 / n
static func harmonicSequence(_ n: Int) -> [BFraction] Harmonic sequence: The first n harmonic numbers
init(_ x: [BInt]) Constructs a BFraction from a continued fraction - BInt version
init(_ x: [Int]) Constructs a BFraction from a continued fraction - Int version
init?(_ x: String) Constructs a BFraction from a String representation, nil if x does not represent a decimal number
init?(_ d: Double) Constructs a BFraction from a decimal value, nil if d is infinite or NaN
init(_ n: Int, _ d: BInt) Constructs a BFraction from numerator and denominator
init(_ n: Int, _ d: Int) Constructs a BFraction from numerator and denominator
init(_ n: BInt, _ d: BInt) Constructs a BFraction from numerator and denominator
init(_ n: BInt, _ d: Int) Constructs a BFraction from numerator and denominator
static let ONE: BFractionBFraction(1, 1)
static let ZERO: BFractionBFraction(0, 1)
var abs: BFraction { get }The absolute value of self
var denominator: BInt { get }The denominator - a positive BInt value
var description: String { get }String value of self
var isInteger: Bool { get }Is true if self is an integer, that is, the denominator is 1
var isNegative: Bool { get }Is true if self < 0, false otherwise
var isPositive: Bool { get }Is true if self > 0, false otherwise
var isZero: Bool { get }Is true if self = 0, false otherwise
var numerator: BInt { get }The numerator - a BInt value
var signum: Int { get }Is 0 if self = 0, 1 if self > 0, and -1 if self < 0
static func != (x: BInt, y: BFraction) -> Bool Not equal
static func != (x: BFraction, y: BInt) -> Bool Not equal
static func != (x: BFraction, 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: BInt) -> BFraction Multiplication
static func * (x: BFraction, y: BFraction) -> BFraction Multiplication
static func * (x: BFraction, y: Int) -> BFraction Multiplication
static func * (x: Int, y: BFraction) -> BFraction Multiplication
static func * (x: BInt, y: BFraction) -> BFraction Multiplication
static func ** (a: BFraction, x: Int) -> BFraction Exponentiation
static func *= (x: inout BFraction, y: BInt) x = x * y
static func *= (x: inout BFraction, y: BFraction) x = x * y
static func *= (x: inout BFraction, y: Int) x = x * y
static func + (x: BFraction) -> BFraction Prefix plus
static func + (x: BFraction, y: BInt) -> BFraction Addition
static func + (x: BFraction, y: BFraction) -> BFraction Addition
static func + (x: BFraction, y: Int) -> BFraction Addition
static func + (x: Int, y: BFraction) -> BFraction Addition
static func + (x: BInt, y: BFraction) -> BFraction Addition
static func += (x: inout BFraction, y: BInt) x = x + y
static func += (x: inout BFraction, y: BFraction) x = x + y
static func += (x: inout BFraction, y: Int) x = x + y
static func - (x: BFraction) -> BFraction Negation
static func - (x: BFraction, y: BInt) -> BFraction Subtraction
static func - (x: BFraction, y: BFraction) -> BFraction Subtraction
static func - (x: BFraction, y: Int) -> BFraction Subtraction
static func - (x: Int, y: BFraction) -> BFraction Subtraction
static func - (x: BInt, y: BFraction) -> BFraction Subtraction
static func -= (x: inout BFraction, y: BInt) x = x - y
static func -= (x: inout BFraction, y: BFraction) x = x - y
static func -= (x: inout BFraction, y: Int) x = x - y
static func / (x: BFraction, y: BInt) -> BFraction Division
static func / (x: BFraction, y: BFraction) -> BFraction Division
static func / (x: BFraction, y: Int) -> BFraction Division
static func / (x: Int, y: BFraction) -> BFraction Division
static func / (x: BInt, y: BFraction) -> BFraction Division
static func /= (x: inout BFraction, y: BInt) x = x / y
static func /= (x: inout BFraction, y: BFraction) x = x / y
static func /= (x: inout BFraction, y: Int) x = x / y
static func < (x: BInt, y: BFraction) -> Bool Less than
static func < (x: BFraction, y: BInt) -> Bool Less than
static func < (x: BFraction, 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: BInt, y: BFraction) -> Bool Less than or equal
static func <= (x: BFraction, y: BInt) -> Bool Less than or equal
static func <= (x: BFraction, 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: BInt, y: BFraction) -> Bool Equal
static func == (x: BFraction, y: BInt) -> Bool Equal
static func == (x: BFraction, y: BFraction) -> Bool Equal
static func == (x: BFraction, y: Int) -> Bool Equal
static func == (x: Int, y: BFraction) -> Bool Equal
static func > (x: BInt, y: BFraction) -> Bool Greater than
static func > (x: BFraction, y: BInt) -> Bool Greater than
static func > (x: BFraction, 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: BInt, y: BFraction) -> Bool Greater than or equal
static func >= (x: BFraction, y: BInt) -> Bool Greater than or equal
static func >= (x: BFraction, 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
func asContinuedFraction() -> [BInt] self as a Continued Fraction
func asDecimalString(precision: Int, exponential: Bool = false) -> String self as a Decimal String with a specified precision, possibly using exponential notation
func asDouble() -> Double self as a Double
func asString() -> String self as a String
func ceil() -> BInt Round towards +Infinity
func floor() -> BInt Round towards -Infinity
func invert() -> BFraction Invert self
func mod(_ m: BInt) -> BInt? Modulus - BInt version
func mod(_ m: Int) -> Int? Modulus - Int version
mutating func negate() Negates self
func round() -> BInt Round to nearest
func truncate() -> BInt Round towards 0