45 lines
2.4 KiB
Elm
45 lines
2.4 KiB
Elm
module Bergamot.Latex exposing (..)
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import Bergamot.Syntax exposing (..)
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import Bergamot.Rules exposing (..)
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termToLatex : (a -> String) -> Term a -> String
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termToLatex f t =
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case t of
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Call "intlit" [t1] -> termToLatex f t1
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Call "strlit" [t1] -> termToLatex f t1
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Call "var" [t1] -> termToLatex f t1
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Call "plus" [t1, t2] -> termToLatex f t1 ++ " + " ++ termToLatex f t2
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Call "pair" [t1, t2] -> "(" ++ termToLatex f t1 ++ ", " ++ termToLatex f t2 ++ ")"
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Call "abs" [t1, t2, t3] -> "\\lambda " ++ termToLatex f t1 ++ " : " ++ termToLatex f t2 ++ ".\\ " ++ termToLatex f t3
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Call "app" [t1, t2] -> termToLatex f t1 ++ "\\ " ++ termToLatex f t2
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Call "type" [t1, t2] -> termToLatex f t1 ++ " : " ++ termToLatex f t2
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Call "type" [t1, t2, t3] -> termToLatex f t1 ++ "\\vdash " ++ termToLatex f t2 ++ " : " ++ termToLatex f t3
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Call "tpair" [t1, t2] -> termToLatex f t1 ++ "\\times" ++ termToLatex f t2
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Call "tarr" [t1, t2] -> termToLatex f t1 ++ "\\to" ++ termToLatex f t2
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Call "extend" [t1, t2, t3] -> termToLatex f t1 ++ ",\\ " ++ termToLatex f t2 ++ " : " ++ termToLatex f t3
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Call "inenv" [t1, t2, t3] -> termToLatex f t1 ++ " : " ++ termToLatex f t2 ++ " \\in " ++ termToLatex f t3
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Call "empty" [] -> "\\varnothing"
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Call s [] -> "\\text{" ++ s ++ "}"
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Call s ts -> "\\text{" ++ s ++ "}(" ++ String.join "," (List.map (termToLatex f) ts) ++ ")"
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Var x -> f x
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IntLit i -> String.fromInt i
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StringLit s -> "\\texttt{" ++ "\"" ++ s ++ "\"" ++ "}"
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metavariableToLatex : Metavariable -> String
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metavariableToLatex (MkMetavariable s) =
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let
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noQuestion = String.dropLeft 1 s
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in
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if String.startsWith "tau" noQuestion then "\\" ++ noQuestion else
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if String.startsWith "Gamma" noQuestion then "\\" ++ noQuestion else noQuestion
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ruleToLatex : Rule -> String
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ruleToLatex r = "\\cfrac{" ++ String.join "\\quad " (List.map (termToLatex metavariableToLatex) r.premises) ++ "}{" ++ termToLatex metavariableToLatex r.conclusion ++ "}\\ \\texttt{" ++ r.name ++ "}"
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unificationVarToLatex : UnificationVar -> String
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unificationVarToLatex (MkUnificationVar s) = s
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proofTreeToLatex : ProofTree -> String
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proofTreeToLatex (MkProofTree node) = "\\cfrac{" ++ String.join "\\quad \\quad " (List.map proofTreeToLatex node.premises) ++ "}{" ++ termToLatex unificationVarToLatex node.conclusion ++ "}\\ \\texttt{" ++ node.name ++ "}"
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