Numbers

BigNumber is an arbitrary precision integer value type. It stores a number in base 2^64 notation as an array.

Each element of the array is called a limb, which is of type UInt64, the whole array is called limbs and has the type [UInt64]. A boolean sign variable determines if the number is positive or negative. If sign == true, then the number is smaller than 0, otherwise it is greater or equal to 0. It stores the 64 bit digits in little endian, that is, the least significant digit is stored in the array index 0:

limbs == [] := undefined, should throw an error
limbs == [0], sign == false := 0, defined as positive
limbs == [0], sign == true := undefined, should throw an error
limbs == [n] := n if sign == false, otherwise -n, given 0 <= n < 2^64

limbs == [l0, l1, l2, ..., ln] :=
(l0 * 2^(0*64)) +
(11 * 2^(1*64)) +
(12 * 2^(2*64)) +
... +
(ln * 2^(n*64))

See more

public struct BigInt:
    SignedNumeric, // Implies Numeric, Equatable, ExpressibleByIntegerLiteral
    BinaryInteger, // Implies Hashable, CustomStringConvertible, Strideable, Comparable
    ExpressibleByFloatLiteral,
    Codable

Undocumented

See more

public struct BigDouble:
    ExpressibleByIntegerLiteral,
    ExpressibleByFloatLiteral,
    CustomStringConvertible,
    SignedNumeric,
    Comparable,
    Hashable,
    Strideable,
    Codable

Alias for BigDouble

public typealias BigFloat = BigDouble

Alias for BigDouble

public typealias BigNumber = BigDouble