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(.module:
  lux
  (lux (control [monad #+ do]
                ["ex" exception #+ exception:]
                ["p" parser])
       (data ["e" error]
             [text]
             text/format
             [number]
             (coll [list "list/" Functor<List>]
                   [dict #+ Dict]))
       [macro #+ with-gensyms]
       (macro [code]
              ["s" syntax #+ syntax:])
       [host])
  (luxc ["&" lang]
        (lang ["la" analysis]
              ["ls" synthesis]
              (host [python #+ Expression Statement])))
  [///]
  (/// [".T" runtime]
       [".T" case]
       [".T" function]
       [".T" loop]))

## [Types]
(type: #export Translator
  (-> ls.Synthesis (Meta Expression)))

(type: #export Proc
  (-> Translator (List ls.Synthesis) (Meta Expression)))

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

(syntax: (Vector [size s.nat] elemT)
  (wrap (list (` [(~+ (list.repeat size elemT))]))))

(type: #export Nullary (-> (Vector +0 Expression) Expression))
(type: #export Unary   (-> (Vector +1 Expression) Expression))
(type: #export Binary  (-> (Vector +2 Expression) Expression))
(type: #export Trinary (-> (Vector +3 Expression) Expression))
(type: #export Variadic (-> (List Expression) Expression))

## [Utils]
(def: #export (install name unnamed)
  (-> Text (-> Text Proc)
      (-> Bundle Bundle))
  (dict.put name (unnamed name)))

(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: (wrong-arity proc expected actual)
  (-> Text Nat Nat Text)
  (format "Wrong number of arguments for " (%t proc) "\n"
          "Expected: " (|> expected nat-to-int %i) "\n"
          "  Actual: " (|> actual nat-to-int %i)))

(syntax: (arity: [name s.local-symbol] [arity s.nat])
  (with-gensyms [g!proc g!name g!translate g!inputs]
    (do @
      [g!input+ (monad.seq @ (list.repeat arity (macro.gensym "input")))]
      (wrap (list (` (def: #export ((~ (code.local-symbol name)) (~ g!proc))
                       (-> (-> (..Vector (~ (code.nat arity)) Expression) Expression)
                           (-> Text ..Proc))
                       (function [(~ g!name)]
                         (function [(~ g!translate) (~ g!inputs)]
                           (case (~ g!inputs)
                             (^ (list (~+ g!input+)))
                             (do macro.Monad<Meta>
                               [(~+ (|> g!input+
                                        (list/map (function [g!input]
                                                    (list g!input (` ((~ g!translate) (~ g!input))))))
                                        list.concat))]
                               ((~' wrap) ((~ g!proc) [(~+ g!input+)])))

                             (~' _)
                             (macro.fail (wrong-arity (~ g!name) +1 (list.size (~ g!inputs))))))))))))))

(arity: nullary +0)
(arity: unary +1)
(arity: binary +2)
(arity: trinary +3)

(def: #export (variadic proc)
  (-> Variadic (-> Text Proc))
  (function [proc-name]
    (function [translate inputsS]
      (do macro.Monad<Meta>
        [inputsI (monad.map @ translate inputsS)]
        (wrap (proc inputsI))))))

## [Procedures]
## [[Lux]]
(def: (lux//is [leftO rightO])
  Binary
  (python.is leftO rightO))

(def: (lux//if [testO thenO elseO])
  Trinary
  (caseT.translate-if testO thenO elseO))

(def: (lux//try riskyO)
  Unary
  (runtimeT.lux//try riskyO))

(def: (lux//noop valueO)
  Unary
  valueO)

(exception: #export Wrong-Syntax)
(def: #export (wrong-syntax procedure args)
  (-> Text (List ls.Synthesis) Text)
  (format "Procedure: " procedure "\n"
          "Arguments: " (%code (code.tuple args))))

(def: lux//loop
  (-> Text Proc)
  (function [proc-name]
    (function [translate inputsS]
      (case (s.run inputsS ($_ p.seq s.nat (s.tuple (p.many s.any)) s.any))
        (#e.Success [offset initsS+ bodyS])
        (loopT.translate-loop translate offset initsS+ bodyS)

        (#e.Error error)
        (&.throw Wrong-Syntax (wrong-syntax proc-name inputsS)))
      )))

(def: lux//recur
  (-> Text Proc)
  (function [proc-name]
    (function [translate inputsS]
      (loopT.translate-recur translate inputsS))))

(def: lux-procs
  Bundle
  (|> (dict.new text.Hash<Text>)
      (install "noop" (unary lux//noop))
      (install "is" (binary lux//is))
      (install "try" (unary lux//try))
      (install "if" (trinary lux//if))
      (install "loop" lux//loop)
      (install "recur" lux//recur)
      ))

## [[Bits]]
(do-template [<name> <op>]
  [(def: (<name> [subjectO paramO])
     Binary
     (<op> paramO subjectO))]

  [bit//and python.bit-and]
  [bit//or  python.bit-or]
  [bit//xor python.bit-xor]
  )

(def: (bit//shift-left [subjectO paramO])
  Binary
  (|> (python.bit-shl paramO subjectO)
      runtimeT.bit//64))

(do-template [<name> <op>]
  [(def: (<name> [subjectO paramO])
     Binary
     (<op> paramO subjectO))]

  [bit//shift-right          python.bit-shr]
  [bit//unsigned-shift-right runtimeT.bit//shift-right]
  )

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

## [[Arrays]]
(def: (array//new sizeO)
  Unary
  (|> python.none
      list python.list
      (python.* sizeO)))

(def: (array//get [arrayO idxO])
  Binary
  (runtimeT.array//get arrayO idxO))

(def: (array//put [arrayO idxO elemO])
  Trinary
  (runtimeT.array//put arrayO idxO elemO))

(def: (array//remove [arrayO idxO])
  Binary
  (runtimeT.array//put arrayO idxO python.none))

(def: array-procs
  Bundle
  (<| (prefix "array")
      (|> (dict.new text.Hash<Text>)
          (install "new" (unary array//new))
          (install "get" (binary array//get))
          (install "put" (trinary array//put))
          (install "remove" (binary array//remove))
          (install "size" (unary python.length))
          )))

## [[Numbers]]
(host.import java/lang/Double
  (#static MIN_VALUE Double)
  (#static MAX_VALUE Double))

(do-template [<name> <const> <encode>]
  [(def: (<name> _)
     Nullary
     (<encode> <const>))]

  [nat//min                 0                           python.int]
  [nat//max                -1                           python.int]

  [frac//smallest          Double::MIN_VALUE            python.float]
  [frac//min               (f/* -1.0 Double::MAX_VALUE) python.float]
  [frac//max               Double::MAX_VALUE            python.float]

  [deg//min                 0                           python.int]
  [deg//max                -1                           python.int]
  )

(do-template [<name> <expression>]
  [(def: (<name> _)
     Nullary
     <expression>)]

  [int//min (|> (python.int -2) (python.** (python.int 63)))]
  [int//max (|> (python.int 2) (python.** (python.int 63)) (python.- (python.int 1)))]
  )

(do-template [<name> <label>]
  [(def: (<name> _)
     Nullary
     (python.apply (list (python.string <label>)) (python.global "float")))]

  [frac//not-a-number      "nan"]
  [frac//positive-infinity "inf"]
  [frac//negative-infinity "-inf"]
  )

(do-template [<name> <op>]
  [(def: (<name> [subjectO paramO])
     Binary
     (|> subjectO
         (<op> paramO)
         runtimeT.bit//64))]

  [int//add        python.+]
  [int//sub        python.-]
  [int//mul        python.*]

  [nat//add        python.+]
  [nat//sub        python.-]
  [nat//mul        python.*]

  [deg//add        python.+]
  [deg//sub        python.-]
  [deg//rem        python.-]
  [deg//scale      python.*]
  )

(do-template [<name> <op>]
  [(def: (<name> [subjectO paramO])
     Binary
     (|> subjectO
         (<op> paramO)))]

  [int//div        python./]
  [int//rem        python.%]
  
  [nat//div        runtimeT.nat///]
  [nat//rem        runtimeT.nat//%]

  [deg//mul        runtimeT.deg//*]
  [deg//div        runtimeT.deg///]
  [deg//reciprocal python./]
  )

(do-template [<name> <op>]
  [(def: (<name> [subjectO paramO])
     Binary
     (<op> paramO subjectO))]

  [frac//add python.+]
  [frac//sub python.-]
  [frac//mul python.*]
  [frac//div python./]
  [frac//rem python.%]
  [frac//=   python.=]
  [frac//<   python.<]

  [text//=   python.=]
  [text//<   python.<]
  )

(do-template [<name> <cmp>]
  [(def: (<name> [subjectO paramO])
     Binary
     (<cmp> paramO subjectO))]

  [nat//= python.=]
  [nat//< runtimeT.nat//<]

  [int//= python.=]
  [int//< python.<]

  [deg//= python.=]
  [deg//< runtimeT.nat//<]
  )

(def: (apply1 func)
  (-> Expression (-> Expression Expression))
  (function [value]
    (python.apply (list value) func)))

(def: (send0 method)
  (-> Text (-> Expression Expression))
  (function [object]
    (python.send (list) method object)))

(do-template [<name> <divisor>]
  [(def: (<name> inputO)
     Unary
     (|> inputO (python./ <divisor>)))]

  [deg//to-frac (python.apply (list (|> (python.int 1) (python.bit-shl (python.int 32))))
                              (python.global "float"))]
  )

(def: nat-procs
  Bundle
  (<| (prefix "nat")
      (|> (dict.new text.Hash<Text>)
          (install "+" (binary nat//add))
          (install "-" (binary nat//sub))
          (install "*" (binary nat//mul))
          (install "/" (binary nat//div))
          (install "%" (binary nat//rem))
          (install "=" (binary nat//=))
          (install "<" (binary nat//<))
          (install "min" (nullary nat//min))
          (install "max" (nullary nat//max))
          (install "to-int" (unary id))
          (install "char" (unary (apply1 (python.global "chr")))))))

(def: int-procs
  Bundle
  (<| (prefix "int")
      (|> (dict.new text.Hash<Text>)
          (install "+" (binary int//add))
          (install "-" (binary int//sub))
          (install "*" (binary int//mul))
          (install "/" (binary int//div))
          (install "%" (binary int//rem))
          (install "=" (binary int//=))
          (install "<" (binary int//<))
          (install "min" (nullary int//min))
          (install "max" (nullary int//max))
          (install "to-nat" (unary id))
          (install "to-frac" (unary (apply1 (python.global "float")))))))

(def: deg-procs
  Bundle
  (<| (prefix "deg")
      (|> (dict.new text.Hash<Text>)
          (install "+" (binary deg//add))
          (install "-" (binary deg//sub))
          (install "*" (binary deg//mul))
          (install "/" (binary deg//div))
          (install "%" (binary deg//rem))
          (install "=" (binary deg//=))
          (install "<" (binary deg//<))
          (install "scale" (binary deg//scale))
          (install "reciprocal" (binary deg//reciprocal))
          (install "min" (nullary deg//min))
          (install "max" (nullary deg//max))
          (install "to-frac" (unary deg//to-frac)))))

(def: frac-procs
  Bundle
  (<| (prefix "frac")
      (|> (dict.new text.Hash<Text>)
          (install "+" (binary frac//add))
          (install "-" (binary frac//sub))
          (install "*" (binary frac//mul))
          (install "/" (binary frac//div))
          (install "%" (binary frac//rem))
          (install "=" (binary frac//=))
          (install "<" (binary frac//<))
          (install "smallest" (nullary frac//smallest))
          (install "min" (nullary frac//min))
          (install "max" (nullary frac//max))
          (install "not-a-number" (nullary frac//not-a-number))
          (install "positive-infinity" (nullary frac//positive-infinity))
          (install "negative-infinity" (nullary frac//negative-infinity))
          (install "to-deg" (unary runtimeT.deg//from-frac))
          (install "to-int" (unary (apply1 (python.global "int"))))
          (install "encode" (unary (apply1 (python.global "repr"))))
          (install "decode" (unary runtimeT.frac//decode)))))

## [[Text]]
(def: (text//concat [subjectO paramO])
  Binary
  (|> subjectO (python.+ paramO)))

(def: (text//char [subjectO paramO])
  Binary
  (runtimeT.text//char subjectO paramO))

(def: (text//replace-all [subjectO paramO extraO])
  Trinary
  (python.send (list paramO extraO) "replace" subjectO))

(def: (text//replace-once [subjectO paramO extraO])
  Trinary
  (python.send (list paramO extraO (python.int 1)) "replace" subjectO))

(def: (text//clip [subjectO paramO extraO])
  Trinary
  (runtimeT.text//clip subjectO paramO extraO))

(def: (text//index [textO partO startO])
  Trinary
  (runtimeT.text//index textO partO startO))

(def: text-procs
  Bundle
  (<| (prefix "text")
      (|> (dict.new text.Hash<Text>)
          (install "=" (binary text//=))
          (install "<" (binary text//<))
          (install "concat" (binary text//concat))
          (install "index" (trinary text//index))
          (install "size" (unary (apply1 (python.global "len"))))
          (install "hash" (unary (apply1 (python.global "hash"))))
          (install "replace-once" (trinary text//replace-once))
          (install "replace-all" (trinary text//replace-all))
          (install "char" (binary text//char))
          (install "clip" (trinary text//clip))
          (install "upper" (unary (send0 "upper")))
          (install "lower" (unary (send0 "lower")))
          )))

## [[Math]]
(def: (math//pow [subject param])
  Binary
  (|> subject (python.** param)))

(def: math-procs
  Bundle
  (<| (prefix "math")
      (|> (dict.new text.Hash<Text>)
          (install "cos" (unary runtimeT.math//cos))
          (install "sin" (unary runtimeT.math//sin))
          (install "tan" (unary runtimeT.math//tan))
          (install "acos" (unary runtimeT.math//acos))
          (install "asin" (unary runtimeT.math//asin))
          (install "atan" (unary runtimeT.math//atan))
          (install "exp" (unary runtimeT.math//exp))
          (install "log" (unary runtimeT.math//log))
          (install "ceil" (unary runtimeT.math//ceil))
          (install "floor" (unary runtimeT.math//floor))
          (install "pow" (binary math//pow))
          )))

## [[IO]]
(def: io-procs
  Bundle
  (<| (prefix "io")
      (|> (dict.new text.Hash<Text>)
          (install "log" (unary runtimeT.io//log!))
          (install "error" (unary runtimeT.io//throw!))
          (install "exit" (unary runtimeT.io//exit!))
          (install "current-time" (nullary (function [_]
                                             (runtimeT.io//current-time! runtimeT.unit)))))))

## [[Atoms]]
(def: atom//new
  Unary
  (|>> [(python.string runtimeT.atom//field)] (list) python.dict))

(def: atom//read
  Unary
  (python.nth (python.string runtimeT.atom//field)))

(def: (atom//compare-and-swap [atomO oldO newO])
  Trinary
  (runtimeT.atom//compare-and-swap atomO oldO newO))

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

## [[Box]]
(def: box//new
  Unary
  (|>> (list) python.list))

(def: box//read
  Unary
  (python.nth (python.int 0)))

(def: (box//write [valueO boxO])
  Binary
  (runtimeT.box//write valueO boxO))

(def: box-procs
  Bundle
  (<| (prefix "box")
      (|> (dict.new text.Hash<Text>)
          (install "new" (unary box//new))
          (install "read" (unary box//read))
          (install "write" (binary box//write)))))

## [[Processes]]
(def: (process//concurrency-level [])
  Nullary
  (python.int 1))

(def: (process//schedule [milli-secondsO procedureO])
  Binary
  (runtimeT.process//schedule milli-secondsO procedureO))

(def: process-procs
  Bundle
  (<| (prefix "process")
      (|> (dict.new text.Hash<Text>)
          (install "concurrency-level" (nullary process//concurrency-level))
          (install "future" (unary runtimeT.process//future))
          (install "schedule" (binary process//schedule))
          )))

## [Bundles]
(def: #export procedures
  Bundle
  (<| (prefix "lux")
      (|> 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 io-procs)
          (dict.merge atom-procs)
          (dict.merge box-procs)
          (dict.merge process-procs)
          )))