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(.module:
  [lux #*
   [control
    ["." monad (#+ do)]
    pipe]
   [data
    ["." product]
    ["." maybe]
    ["." text ("text/." equivalence)]
    [collection
     ["." list ("list/." monad)]
     ["." set]]]
   [math
    ["r" random ("random/." monad)]]
   ["." type
    ["." check]]
   [macro
    ["." code]]
   [compiler
    [default
     ["." phase
      ["." analysis
       ["." module]
       [".A" type]
       ["/" case]]]]]
   test]
  [//
   ["_." primitive]
   ["_." structure]])

(def: (exhaustive-weaving branchings)
  (-> (List (List Code)) (List (List Code)))
  (case branchings
    #.Nil
    #.Nil

    (#.Cons head+ #.Nil)
    (list/map (|>> list) head+)

    (#.Cons head+ tail++)
    (do list.monad
      [tail+ (exhaustive-weaving tail++)
       head head+]
      (wrap (#.Cons head tail+)))))

(def: #export (exhaustive-branches allow-literals? variantTC inputC)
  (-> Bit (List [Code Code]) Code (r.Random (List Code)))
  (case inputC
    [_ (#.Bit _)]
    (random/wrap (list (' #1) (' #0)))

    (^template [<tag> <gen> <wrapper>]
      [_ (<tag> _)]
      (if allow-literals?
        (do r.monad
          [?sample (r.maybe <gen>)]
          (case ?sample
            (#.Some sample)
            (do @
              [else (exhaustive-branches allow-literals? variantTC inputC)]
              (wrap (list& (<wrapper> sample) else)))

            #.None
            (wrap (list (' _)))))
        (random/wrap (list (' _)))))
    ([#.Nat  r.nat          code.nat]
     [#.Int  r.int          code.int]
     [#.Rev  r.rev          code.rev]
     [#.Frac r.frac         code.frac]
     [#.Text (r.unicode 5) code.text])
    
    (^ [_ (#.Tuple (list))])
    (random/wrap (list (' [])))

    (^ [_ (#.Record (list))])
    (random/wrap (list (' {})))

    [_ (#.Tuple members)]
    (do r.monad
      [member-wise-patterns (monad.map @ (exhaustive-branches allow-literals? variantTC) members)]
      (wrap (|> member-wise-patterns
                exhaustive-weaving
                (list/map code.tuple))))

    [_ (#.Record kvs)]
    (do r.monad
      [#let [ks (list/map product.left kvs)
             vs (list/map product.right kvs)]
       member-wise-patterns (monad.map @ (exhaustive-branches allow-literals? variantTC) vs)]
      (wrap (|> member-wise-patterns
                exhaustive-weaving
                (list/map (|>> (list.zip2 ks) code.record)))))

    (^ [_ (#.Form (list [_ (#.Tag _)] _))])
    (do r.monad
      [bundles (monad.map @
                          (function (_ [_tag _code])
                            (do @
                              [v-branches (exhaustive-branches allow-literals? variantTC _code)]
                              (wrap (list/map (function (_ pattern) (` ((~ _tag) (~ pattern))))
                                              v-branches))))
                          variantTC)]
      (wrap (list/join bundles)))

    _
    (random/wrap (list))
    ))

(def: #export (input variant-tags record-tags primitivesC)
  (-> (List Code) (List Code) (List Code) (r.Random Code))
  (r.rec
   (function (_ input)
     ($_ r.either
         (random/map product.right _primitive.primitive)
         (do r.monad
           [choice (|> r.nat (:: @ map (n/% (list.size variant-tags))))
            #let [choiceT (maybe.assume (list.nth choice variant-tags))
                  choiceC (maybe.assume (list.nth choice primitivesC))]]
           (wrap (` ((~ choiceT) (~ choiceC)))))
         (do r.monad
           [size (|> r.nat (:: @ map (n/% 3)))
            elems (r.list size input)]
           (wrap (code.tuple elems)))
         (random/wrap (code.record (list.zip2 record-tags primitivesC)))
         ))))

(def: (branch body pattern)
  (-> Code Code [Code Code])
  [pattern body])

(context: "Pattern-matching."
  ## #seed 9253409297339902486
  ## #seed 3793366152923578600
  (<| (seed 5004137551292836565)
      ## (times 100)
      (do @
        [module-name (r.unicode 5)
         variant-name (r.unicode 5)
         record-name (|> (r.unicode 5) (r.filter (|>> (text/= variant-name) not)))
         size (|> r.nat (:: @ map (|>> (n/% 10) (n/max 2))))
         variant-tags (|> (r.set text.hash size (r.unicode 5)) (:: @ map set.to-list))
         record-tags (|> (r.set text.hash size (r.unicode 5)) (:: @ map set.to-list))
         primitivesTC (r.list size _primitive.primitive)
         #let [primitivesT (list/map product.left primitivesTC)
               primitivesC (list/map product.right primitivesTC)
               code-tag (|>> [module-name] code.tag)
               variant-tags+ (list/map code-tag variant-tags)
               record-tags+ (list/map code-tag record-tags)
               variantTC (list.zip2 variant-tags+ primitivesC)]
         inputC (input variant-tags+ record-tags+ primitivesC)
         [outputT outputC] _primitive.primitive
         [heterogeneousT heterogeneousC] (r.filter (|>> product.left (check.checks? outputT) not)
                                                   _primitive.primitive)
         exhaustive-patterns (exhaustive-branches #1 variantTC inputC)
         redundant-patterns (exhaustive-branches #0 variantTC inputC)
         redundancy-idx (|> r.nat (:: @ map (n/% (list.size redundant-patterns))))
         heterogeneous-idx (|> r.nat (:: @ map (n/% (list.size exhaustive-patterns))))
         #let [exhaustive-branchesC (list/map (branch outputC)
                                              exhaustive-patterns)
               non-exhaustive-branchesC (list.take (dec (list.size exhaustive-branchesC))
                                                   exhaustive-branchesC)
               redundant-branchesC (<| (list/map (branch outputC))
                                       list.concat
                                       (list (list.take redundancy-idx redundant-patterns)
                                             (list (maybe.assume (list.nth redundancy-idx redundant-patterns)))
                                             (list.drop redundancy-idx redundant-patterns)))
               heterogeneous-branchesC (list.concat (list (list.take heterogeneous-idx exhaustive-branchesC)
                                                          (list (let [[_pattern _body] (maybe.assume (list.nth heterogeneous-idx exhaustive-branchesC))]
                                                                  [_pattern heterogeneousC]))
                                                          (list.drop (inc heterogeneous-idx) exhaustive-branchesC)))
               analyse-pm (|>> (/.case _primitive.phase inputC)
                               (typeA.with-type outputT)
                               analysis.with-scope
                               (do phase.monad
                                 [_ (module.declare-tags variant-tags #0
                                                         (#.Named [module-name variant-name]
                                                                  (type.variant primitivesT)))
                                  _ (module.declare-tags record-tags #0
                                                         (#.Named [module-name record-name]
                                                                  (type.tuple primitivesT)))])
                               (module.with-module 0 module-name))]]
        ($_ seq
            (test "Will reject empty pattern-matching (no branches)."
                  (|> (analyse-pm (list))
                      _structure.check-fails))
            (test "Can analyse exhaustive pattern-matching."
                  (|> (analyse-pm exhaustive-branchesC)
                      _structure.check-succeeds))
            (test "Will reject non-exhaustive pattern-matching."
                  (|> (analyse-pm non-exhaustive-branchesC)
                      _structure.check-fails))
            (test "Will reject redundant pattern-matching."
                  (|> (analyse-pm redundant-branchesC)
                      _structure.check-fails))
            (test "Will reject pattern-matching if the bodies of the branches do not all have the same type."
                  (|> (analyse-pm heterogeneous-branchesC)
                      _structure.check-fails)))
        )))