(;module:
  lux
  (lux (control [monad #+ do]
                ["ex" exception #+ exception:])
       (concurrency [atom #+ Atom])
       (data [text]
             text/format
             (coll [list "list/" Functor<List>]
                   [array]
                   [dict #+ Dict]))
       [macro]
       (macro [code])
       (lang (type ["tc" check]))
       [io])
  (luxc ["&" lang]
        (lang ["la" analysis]
              (analysis ["&;" common]
                        [";A" function]
                        [";A" case]
                        [";A" type]))))

(exception: #export Incorrect-Procedure-Arity)

## [Utils]
(type: #export Proc
  (-> &;Analyser &;Eval (List Code) (Meta la;Analysis)))

(type: #export Bundle
  (Dict Text (-> Text Proc)))

(def: #export (install name unnamed)
  (-> Text (-> Text Proc)
      (-> Bundle Bundle))
  (dict;put name unnamed))

(def: #export (prefix prefix bundle)
  (-> Text Bundle Bundle)
  (|> bundle
      dict;entries
      (list/map (function [[key val]] [(format prefix " " key) val]))
      (dict;from-list text;Hash<Text>)))

(def: #export (wrong-arity proc expected actual)
  (-> Text Nat Nat Text)
  (format "      Procedure: " (%t proc) "\n"
          " Expected Arity: " (|> expected nat-to-int %i) "\n"
          "   Actual Arity: " (|> actual nat-to-int %i)))

(def: (simple proc inputsT+ outputT)
  (-> Text (List Type) Type Proc)
  (let [num-expected (list;size inputsT+)]
    (function [analyse eval args]
      (let [num-actual (list;size args)]
        (if (n.= num-expected num-actual)
          (do macro;Monad<Meta>
            [_ (&;infer outputT)
             argsA (monad;map @
                              (function [[argT argC]]
                                (&;with-type argT
                                  (analyse argC)))
                              (list;zip2 inputsT+ args))]
            (wrap (la;procedure proc argsA)))
          (&;throw Incorrect-Procedure-Arity (wrong-arity proc num-expected num-actual)))))))

(def: #export (nullary valueT proc)
  (-> Type Text Proc)
  (simple proc (list) valueT))

(def: #export (unary inputT outputT proc)
  (-> Type Type Text Proc)
  (simple proc (list inputT) outputT))

(def: #export (binary subjectT paramT outputT proc)
  (-> Type Type Type Text Proc)
  (simple proc (list subjectT paramT) outputT))

(def: #export (trinary subjectT param0T param1T outputT proc)
  (-> Type Type Type Type Text Proc)
  (simple proc (list subjectT param0T param1T) outputT))

## [Analysers]
## "lux is" represents reference/pointer equality.
(def: (lux-is proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((binary varT varT Bool proc)
       analyse eval args))))

## "lux try" provides a simple way to interact with the host platform's
## error-handling facilities.
(def: (lux-try proc)
  (-> Text Proc)
  (function [analyse eval args]
    (case args
      (^ (list opC))
      (do macro;Monad<Meta>
        [[var-id varT] (&;with-type-env tc;var)
         _ (&;infer (type (Either Text varT)))
         opA (&;with-type (type (io;IO varT))
               (analyse opC))]
        (wrap (la;procedure proc (list opA))))
      
      _
      (&;throw Incorrect-Procedure-Arity (wrong-arity proc +1 (list;size args))))))

(def: (lux//function proc)
  (-> Text Proc)
  (function [analyse eval args]
    (case args
      (^ (list [_ (#;Symbol ["" func-name])]
               [_ (#;Symbol ["" arg-name])]
               body))
      (functionA;analyse-function analyse func-name arg-name body)
      
      _
      (&;throw Incorrect-Procedure-Arity (wrong-arity proc +3 (list;size args))))))

(def: (lux//case proc)
  (-> Text Proc)
  (function [analyse eval args]
    (case args
      (^ (list input [_ (#;Record branches)]))
      (caseA;analyse-case analyse input branches)
      
      _
      (&;throw Incorrect-Procedure-Arity (wrong-arity proc +2 (list;size args))))))

(do-template [<name> <analyser>]
  [(def: (<name> proc)
     (-> Text Proc)
     (function [analyse eval args]
       (case args
         (^ (list typeC valueC))
         (<analyser> analyse eval typeC valueC)
         
         _
         (&;throw Incorrect-Procedure-Arity (wrong-arity proc +2 (list;size args))))))]

  [lux//check typeA;analyse-check]
  [lux//coerce typeA;analyse-coerce])

(def: (lux//check//type proc)
  (-> Text Proc)
  (function [analyse eval args]
    (case args
      (^ (list valueC))
      (do macro;Monad<Meta>
        [_ (&;infer (type Type))
         valueA (&;with-type Type
                  (analyse valueC))]
        (wrap valueA))
      
      _
      (&;throw Incorrect-Procedure-Arity (wrong-arity proc +1 (list;size args))))))

(def: lux-procs
  Bundle
  (|> (dict;new text;Hash<Text>)
      (install "is" lux-is)
      (install "try" lux-try)
      (install "function" lux//function)
      (install "case" lux//case)
      (install "check" lux//check)
      (install "coerce" lux//coerce)
      (install "check type" lux//check//type)))

(def: io-procs
  Bundle
  (<| (prefix "io")
      (|> (dict;new text;Hash<Text>)
          (install "log" (unary Text Unit))
          (install "error" (unary Text Bottom))
          (install "exit" (unary Nat Bottom))
          (install "current-time" (nullary Int)))))

(def: bit-procs
  Bundle
  (<| (prefix "bit")
      (|> (dict;new text;Hash<Text>)
          (install "count" (unary Nat Nat))
          (install "and" (binary Nat Nat Nat))
          (install "or" (binary Nat Nat Nat))
          (install "xor" (binary Nat Nat Nat))
          (install "shift-left" (binary Nat Nat Nat))
          (install "unsigned-shift-right" (binary Nat Nat Nat))
          (install "shift-right" (binary Int Nat Int))
          )))

(def: nat-procs
  Bundle
  (<| (prefix "nat")
      (|> (dict;new text;Hash<Text>)
          (install "+" (binary Nat Nat Nat))
          (install "-" (binary Nat Nat Nat))
          (install "*" (binary Nat Nat Nat))
          (install "/" (binary Nat Nat Nat))
          (install "%" (binary Nat Nat Nat))
          (install "=" (binary Nat Nat Bool))
          (install "<" (binary Nat Nat Bool))
          (install "min" (nullary Nat))
          (install "max" (nullary Nat))
          (install "to-int" (unary Nat Int))
          (install "to-text" (unary Nat Text)))))

(def: int-procs
  Bundle
  (<| (prefix "int")
      (|> (dict;new text;Hash<Text>)
          (install "+" (binary Int Int Int))
          (install "-" (binary Int Int Int))
          (install "*" (binary Int Int Int))
          (install "/" (binary Int Int Int))
          (install "%" (binary Int Int Int))
          (install "=" (binary Int Int Bool))
          (install "<" (binary Int Int Bool))
          (install "min" (nullary Int))
          (install "max" (nullary Int))
          (install "to-nat" (unary Int Nat))
          (install "to-frac" (unary Int Frac)))))

(def: deg-procs
  Bundle
  (<| (prefix "deg")
      (|> (dict;new text;Hash<Text>)
          (install "+" (binary Deg Deg Deg))
          (install "-" (binary Deg Deg Deg))
          (install "*" (binary Deg Deg Deg))
          (install "/" (binary Deg Deg Deg))
          (install "%" (binary Deg Deg Deg))
          (install "=" (binary Deg Deg Bool))
          (install "<" (binary Deg Deg Bool))
          (install "scale" (binary Deg Nat Deg))
          (install "reciprocal" (binary Deg Nat Deg))
          (install "min" (nullary Deg))
          (install "max" (nullary Deg))
          (install "to-frac" (unary Deg Frac)))))

(def: frac-procs
  Bundle
  (<| (prefix "frac")
      (|> (dict;new text;Hash<Text>)
          (install "+" (binary Frac Frac Frac))
          (install "-" (binary Frac Frac Frac))
          (install "*" (binary Frac Frac Frac))
          (install "/" (binary Frac Frac Frac))
          (install "%" (binary Frac Frac Frac))
          (install "=" (binary Frac Frac Bool))
          (install "<" (binary Frac Frac Bool))
          (install "smallest" (nullary Frac))
          (install "min" (nullary Frac))
          (install "max" (nullary Frac))
          (install "not-a-number" (nullary Frac))
          (install "positive-infinity" (nullary Frac))
          (install "negative-infinity" (nullary Frac))
          (install "to-deg" (unary Frac Deg))
          (install "to-int" (unary Frac Int))
          (install "encode" (unary Frac Text))
          (install "decode" (unary Text (type (Maybe Frac)))))))

(def: text-procs
  Bundle
  (<| (prefix "text")
      (|> (dict;new text;Hash<Text>)
          (install "=" (binary Text Text Bool))
          (install "<" (binary Text Text Bool))
          (install "concat" (binary Text Text Text))
          (install "index" (trinary Text Text Nat (type (Maybe Nat))))
          (install "size" (unary Text Nat))
          (install "hash" (unary Text Nat))
          (install "replace-once" (trinary Text Text Text Text))
          (install "replace-all" (trinary Text Text Text Text))
          (install "char" (binary Text Nat (type (Maybe Nat))))
          (install "clip" (trinary Text Nat Nat (type (Maybe Text))))
          (install "upper" (unary Text Text))
          (install "lower" (unary Text Text))
          )))

(def: (array-get proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((binary Nat (type (Array varT)) varT proc)
       analyse eval args))))

(def: (array-put proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((trinary Nat varT (type (Array varT)) (type (Array varT)) proc)
       analyse eval args))))

(def: (array-remove proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((binary Nat (type (Array varT)) (type (Array varT)) proc)
       analyse eval args))))

(def: array-procs
  Bundle
  (<| (prefix "array")
      (|> (dict;new text;Hash<Text>)
          (install "new" (unary Nat Array))
          (install "get" array-get)
          (install "put" array-put)
          (install "remove" array-remove)
          (install "size" (unary (type (Ex [a] (Array a))) Nat))
          )))

(def: math-procs
  Bundle
  (<| (prefix "math")
      (|> (dict;new text;Hash<Text>)
          (install "cos" (unary Frac Frac))
          (install "sin" (unary Frac Frac))
          (install "tan" (unary Frac Frac))
          (install "acos" (unary Frac Frac))
          (install "asin" (unary Frac Frac))
          (install "atan" (unary Frac Frac))
          (install "cosh" (unary Frac Frac))
          (install "sinh" (unary Frac Frac))
          (install "tanh" (unary Frac Frac))
          (install "exp" (unary Frac Frac))
          (install "log" (unary Frac Frac))
          (install "root2" (unary Frac Frac))
          (install "root3" (unary Frac Frac))
          (install "ceil" (unary Frac Frac))
          (install "floor" (unary Frac Frac))
          (install "round" (unary Frac Frac))
          (install "atan2" (binary Frac Frac Frac))
          (install "pow" (binary Frac Frac Frac))
          )))

(def: (atom-new proc)
  (-> Text Proc)
  (function [analyse eval args]
    (case args
      (^ (list initC))
      (do macro;Monad<Meta>
        [[var-id varT] (&;with-type-env tc;var)
         _ (&;infer (type (Atom varT)))
         initA (&;with-type varT
                 (analyse initC))]
        (wrap (la;procedure proc (list initA))))
      
      _
      (&;throw Incorrect-Procedure-Arity (wrong-arity proc +1 (list;size args))))))

(def: (atom-read proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((unary (type (Atom varT)) varT proc)
       analyse eval args))))

(def: (atom-compare-and-swap proc)
  (-> Text Proc)
  (function [analyse eval args]
    (do macro;Monad<Meta>
      [[var-id varT] (&;with-type-env tc;var)]
      ((trinary varT varT (type (Atom varT)) Bool proc)
       analyse eval args))))

(def: atom-procs
  Bundle
  (<| (prefix "atom")
      (|> (dict;new text;Hash<Text>)
          (install "new" atom-new)
          (install "read" atom-read)
          (install "compare-and-swap" atom-compare-and-swap)
          )))

(def: process-procs
  Bundle
  (<| (prefix "process")
      (|> (dict;new text;Hash<Text>)
          (install "concurrency-level" (nullary Nat))
          (install "future" (unary (type (io;IO Top)) Unit))
          (install "schedule" (binary Nat (type (io;IO Top)) Unit))
          )))

(def: #export procedures
  Bundle
  (<| (prefix "lux")
      (|> (dict;new text;Hash<Text>)
          (dict;merge lux-procs)
          (dict;merge bit-procs)
          (dict;merge nat-procs)
          (dict;merge int-procs)
          (dict;merge deg-procs)
          (dict;merge frac-procs)
          (dict;merge text-procs)
          (dict;merge array-procs)
          (dict;merge math-procs)
          (dict;merge atom-procs)
          (dict;merge process-procs)
          (dict;merge io-procs))))