swift-bignum

Arbitrary-precision arithmetic for Swift, in Swift

Synopsis

import BigNum
BigRat.sqrt(2, precision:128)  // 240615969168004511545033772477625056927/170141183460469231731687303715884105728
BigFloat.exp(1, precision:128) // 2.718281828459045235360287471352662497759

Description

This module offers two flavors of Arbitrary-precision types that conforms to FloatingPoint.

• BigRat - Arbitrary-precision rational number.
• BigFloat - Arbitrary-precision floating point.

In addition to all arithmetic operations that FloatingPoint supports. Most of the functions in <math.h> are offered as static functions. As you see in the synopsis above, all arithmetic functions and operators that are lossy can take precision:Int as an optional argument. When omitted the value of BigRat.precision or BigFloat.precision is used (default:64).

BigFloat.sqrt(2) // 1.41421356237309504876
BigFloat.precision = 128
BigFloat.sqrt(2) // 1.414213562373095048801688724209698078569

BigInt, an arbitrary-precision interger type is internally used and re-exported so you don't have to import BigInt just for that. BigInt is also extended with .over() method so instead of constructing BigRat directly, you can:

BigInt(3260954456333195553).over(BigInt(2305843009213693952)) // == BigRat.sqrt(2)

Usage

Build

$ git clone https://github.com/dankogai/swift-bignum.git
$ cd swift-bignum # the following assumes your $PWD is here
$ swift build

REPL

Simply

$ scripts/run-repl.sh

or

$ swift run --repl

and in your repl,

[0/0] Build complete!
Launching Swift REPL with arguments: -I/Users/dankogai/github/swift-bignum/.build/x86_64-apple-macosx/release -L/Users/dankogai/github/swift-bignum/.build/x86_64-apple-macosx/release -lBigNum__REPL -I/Users/dankogai/github/swift-bignum/.build/checkouts/swift-numerics/Sources/_NumericsShims/include
Welcome to Swift version 5.5.2-dev.
Type :help for assistance.
  1> import BigNum 
  2> var bf = BigFloat.sqrt(2, precision:128)
bf: BigNum.BigFloat = {
  scale = -127
  mantissa = {
    magnitude = {
      kind = array
      storage = 2 values {
        [0] = 6448461645324402335
        [1] = 13043817825332782212
      }
    }
    sign = plus
  }
}
  3> print(bf)
1.414213562373095048801688724209698078569

From your Xcode Projects.

Simply add the package from Package Dependencies tab of the Project. Enter https://github.com/dankogai/swift-bignum in the search field and click [Add Package]

Now you are able to import BigNum.

Now all you have to do is build and enjoy!

If you enconter errors like Missing required module '_NumericShims', try cleaning up your ~/Library/Developer/Xcode/DerivedData.

From Your SwiftPM-Managed Projects

Add the following to the dependencies section:

.package(
  url: "https://github.com/dankogai/swift-bignum.git", .branch("main")
)

and the following to the .target argument:

.target(
  name: "YourSwiftyPackage",
  dependencies: ["BigNum"])

Now all you have to do is:

import BigNum

in your code. Enjoy!

Prerequisite

Swift 5 or better, OS X or Linux to build.

• Depends on attaswift/BigInt for internal representation of BigFloat and BigRat.
• Depends on apple/swift-numerics since version 5.1 for the ElementaryFunctions protocol.
• Prior versions depended on dankogai/swift-floatingpoint for the FloatingPointMath protocols but it is replaced by the ElementaryFunctions.