This is a framework implementing advanced numeric data types for the Swift programming language on macOS, iOS and Linux. Currently, the framework provides three new numeric types, each represented as a struct:
BigInt: arbitrary-precision signed integers
Rational: signed rational numbers
Complex: complex floating-point numbers
Note: So far, with every major version of Swift, Apple decided to change the foundational APIs of the numeric
types in Swift significantly and consistently in a backward incompatible way. In order to be more isolated from
such changes in future, with Swift 3, I decided to introduce a distinct integer type used in NumberKit based on a
IntegerNumber. All standard numeric integer types implement this protocol. This is now consistent
with the usage of protocol
FloatingPointNumber for floating point numbers, where there was, so far, never a
real, generic enough foundation (and still isn't).
BigInt objects are immutable, signed, arbitrary-precision integers that can be used as a
drop-in replacement for the existing binary integer types of Swift 5.
BigInt defines all
the standard arithmetic integer operations and implements the corresponding protocols defined
in the standard library.
defines immutable, rational numbers based on an existing signed integer
BigInt. A rational number is a signed number that can
be expressed as the quotient of two integers a and b: a / b.
defines complex numbers based on an existing floating point type
Double. A complex number
consists of two components, a real part re and an imaginary part im and is typically written as: re + im * i
where i is the imaginary unit.
The following technologies are needed to build the components of the Swift NumberKit framework:
Author: Matthias Zenger ([email protected])
Copyright © 2016-2023 Matthias Zenger. All rights reserved.