Swiftpack.co -
mgriebling/QuadReals as Swift Package

Swiftpack.co is a collection of thousands of indexed Swift packages. Search packages.

mgriebling/QuadReals

A quad-double number (Quad) is an unevaluated sum of four IEEE double precision numbers, capable of representing at least 212 bits of significand. Algorithms for various arithmetic operations (including the four basic operations and various algebraic and transcendental operations) are presented. A Swift implementation of these algorithms is attached, along with its interfaces.

.package(url: "https://github.com/mgriebling/QuadReals.git", from: "1.0.1")
A quad-double number (Quad) is an unevaluated sum of four IEEE double precision numbers, capable of representing at least 212 bits of significand. Algorithms for various arithmetic operations (including the four basic operations and various algebraic and transcendental operations) are presented. A Swift implementation of these algorithms is attached, along with its interfaces.

Translated to Swift from an original work called qd-2.3.15 by Yozo Hida, Xiaoye S. Li, and David H. Bailey Bug fixes incorporated from qd-2.3.22 - MG - 24 Mar 2019.

(Original) work was supported by the Director, Office of Science, Division of Mathematical, Information, and Computational Sciences of the U.S. Department of Energy under contract number DE-AC03-76SF00098.

Copyright (c) 2000-2007

```
let x = Quad("123456789012345678901234567890")
let y = 123456789012345678901234567890.0
let two : Quad = "2"
let ptOne = Quad("0.1")
print("Quad-Double precision \(x)\nDouble precision \(y)")
print("Sqrt(2) = \(two.sqrt())")
print("2^1000 = \(two.pow(1000))")
print("Sqrt(\(x)^2) = \(x.sqr().sqrt())")
print("π = \(Quad.pi)")
print("1/3 = \(Quad(1)/3)")
print("sqrt(0.1) = \(ptOne.sqrt())")
print("sqrt(0.1)^2 = \(ptOne.sqrt().sqr())")
print("Comparison operations: \(x) == \(y) -> \(x == Quad.zero+y)")
```

The corresponding output:

```
Quad-Double precision 1.23456789012345678901234567890000000000000000000000000000000000e+29
Double precision 1.2345678901234568e+29
Sqrt(2) = 1.41421356237309504880168872420969807856967187537694807317667974e+00
2^1000 = 1.07150860718626732094842504906000181056140481170553360744375039e+301
Sqrt(1.23456789012345678901234567890000000000000000000000000000000000e+29^2) = 1.23456789012345678901234567890000000000000000000000000000000000e+29
π = 3.14159265358979323846264338327950288419716939937510582097494459e+00
1/3 = 3.33333333333333333333333333333333333333333333333333333333333333e-01
sqrt(0.1) = 3.16227766016837933199889354443271853371955513932521682685750485e-01
sqrt(0.1)^2 = 1.00000000000000000000000000000000000000000000000000000000000000e-02
Comparison operations: 1.23456789012345678901234567890000000000000000000000000000000000e+29 == 1.2345678901234568e+29 -> false
```

link |

Stars: 0 |

Last commit: 4 weeks ago |

Perry Street Software is Jack’d and SCRUFF. We are two of the world’s largest gay, bi, trans and queer social dating apps on iOS and Android. Our brands reach more than 20 million members worldwide so members can connect, meet and express themselves on a platform that prioritizes privacy and security. We invest heavily into SwiftUI and using Swift Packages to modularize the codebase.

Release V1.0.1

4 weeks ago

Updated with a Swift example.

Swiftpack is being maintained by Petr Pavlik | @ptrpavlik | @swiftpackco | API