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NiceNumbers.jl
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The nicest numbers in Julia.
Download README (.md)
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README.md
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NiceNumbers.jl
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# NiceNumbers.jl *The nicest numbers in Julia* <!-- [](https://travis-ci.org/fkastner/NiceNumbers.jl) [](https://coveralls.io/github/fkastner/NiceNumbers.jl?branch=master) [](https://fkastner.github.io/NiceNumbers.jl/stable) --> [](https://fkastner.github.io/NiceNumbers.jl/stable) [](https://fkastner.github.io/NiceNumbers.jl/dev) [](https://github.com/fkastner/NiceNumbers.jl/actions) [](https://coveralls.io/github/fkastner/NiceNumbers.jl?branch=master) This package implements a number type to represent numbers you can safely give to your students to work with. The goal is that when common linear algebra or numerical algorithms work using `NiceNumber`s that then one can be sure that the algorithm can be reasonably easy worked through by hand with the given numbers. Nice numbers as implemented in this package consist of a rational part and a square root part with a rational coefficient. Thus every `NiceNumber` is specified using two `Rational{Int}`s and one `Int`. ## Installation Just add the package from the Julia Pkg mode: ```julia julia>] add NiceNumbers ``` ## Usage Example ```julia julia> using NiceNumbers julia> n = NiceNumber(2,3,5) Nice number: 2+3⋅√5 julia> n^2 Nice number: 49+12⋅√5 julia> m = NiceNumber(3//5) Nice number: 3//5 julia> n+m, n-m, n*m, n/m (13//5+3⋅√5, 7//5+3⋅√5, 6//5+9//5⋅√5, 10//3+5⋅√5) julia> sqrt(m) Nice number: 1//5⋅√15 julia> sqrt(n) ERROR: sqrt(2+3⋅√5) is not nice anymore! [...] ``` There is also a macro to simplify working with nice numbers: ```julia julia> using LinearAlgebra julia> n = norm([4,12,3] * √2) 18.38477631085024 julia> @nice m = norm([4,12,3] * √2) Nice number: 13⋅√2 julia> n == m true ``` For further examples see the examples section of the documentation, especially the [SVD example](https://fkastner.github.io/NiceNumbers.jl/dev/example_svd/).
