{-| Module  : FiniteCategories
Description : An example of slice category.
Copyright   : Guillaume Sabbagh 2021
License     : GPL-3
Maintainer  : guillaumesabbagh@protonmail.com
Stability   : experimental
Portability : portable

An example of slice category.
-}
module ExampleCommaCategory.ExampleSliceCategory
(
    sliceCategory,
    main
)
where
    import              RandomCompositionGraph.RandomCompositionGraph
    import              System.Random                                   
    import              ExportGraphViz.ExportGraphViz                   (catToPdf,diagToPdf,diagToPdf2)
    import              Diagram.Diagram                                 (mkIdentityDiagram)
    import              FiniteCategory.FiniteCategory
    import              CommaCategory.CommaCategory
    import              Utils.Sample
    import              Data.Maybe

    (rcg1,newGen) = (defaultMkRandomCompositionGraph (mkStdGen 83456789))
    
    -- | The category of objects over a random one.
    sliceCategory = fromJust $ mkSliceCategory rcg1 (fst (pickOne (ob rcg1) newGen))

    -- | Export the slice category as a pdf with GraphViz.
    main = do 
        putStrLn "Start of ExampleSliceCategory"
        catToPdf rcg1 "OutputGraphViz/Examples/CommaCategory/SliceCategory/rcg"
        catToPdf sliceCategory "OutputGraphViz/Examples/CommaCategory/SliceCategory/slice"
        putStrLn "End of ExampleSliceCategory"