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(.module:
  [lux (#- not and or)
   [abstract
    [equivalence (#+ Equivalence)]]
   [control
    pipe]
   [data
    ["." maybe]
    [number
     ["." i64]
     ["n" nat]]
    [collection
     ["." array (#+ Array) ("#@." fold)]]]])

(type: #export Chunk
  I64)

(def: #export chunk-size
  i64.width)

(type: #export Bits
  (Array Chunk))

(def: empty-chunk
  Chunk
  (.i64 0))

(def: #export empty
  Bits
  (array.new 0))

(def: #export (size bits)
  (-> Bits Nat)
  (array@fold (function (_ chunk total)
                (|> chunk i64.count (n.+ total)))
              0
              bits))

(def: #export (capacity bits)
  (-> Bits Nat)
  (|> bits array.size (n.* chunk-size)))

(def: #export empty?
  (-> Bits Bit)
  (|>> size (n.= 0)))

(def: #export (get index bits)
  (-> Nat Bits Bit)
  (let [[chunk-index bit-index] (n./% chunk-size index)]
    (.and (n.< (array.size bits) chunk-index)
          (|> (array.read chunk-index bits)
              (maybe.default empty-chunk)
              (i64.set? bit-index)))))

(def: (chunk idx bits)
  (-> Nat Bits Chunk)
  (if (n.< (array.size bits) idx)
    (|> bits (array.read idx) (maybe.default empty-chunk))
    empty-chunk))

(template [<name> <op>]
  [(def: #export (<name> index input)
     (-> Nat Bits Bits)
     (let [[chunk-index bit-index] (n./% chunk-size index)]
       (loop [size|output (n.max (inc chunk-index)
                                 (array.size input))
              output ..empty]
         (let [idx|output (dec size|output)]
           (if (n.> 0 size|output)
             (case (|> (..chunk idx|output input)
                       (cond> [(new> (n.= chunk-index idx|output) [])]
                              [(<op> bit-index)]

                              ## else
                              [])
                       .nat)
               0
               ## TODO: Remove 'no-op' once new-luxc is the official compiler.
               (let [no-op (recur (dec size|output) output)]
                 no-op)
               
               chunk
               (|> (if (is? ..empty output)
                     (: Bits (array.new size|output))
                     output)
                   (array.write! idx|output (.i64 chunk))
                   (recur (dec size|output))))
             output)))))]

  [set   i64.set]
  [clear i64.clear]
  [flip  i64.flip]
  )

(def: #export (intersects? reference sample)
  (-> Bits Bits Bit)
  (let [chunks (n.min (array.size reference)
                      (array.size sample))]
    (loop [idx 0]
      (if (n.< chunks idx)
        (.or (|> (..chunk idx sample)
                 (i64.and (..chunk idx reference))
                 ("lux i64 =" empty-chunk)
                 .not)
             (recur (inc idx)))
        #0))))

(def: #export (not input)
  (-> Bits Bits)
  (case (array.size input)
    0
    ..empty

    size|output
    (loop [size|output size|output
           output ..empty]
      (let [idx (dec size|output)]
        (case (|> input (..chunk idx) i64.not .nat)
          0
          (recur (dec size|output) output)

          chunk
          (if (n.> 0 size|output)
            (|> (if (is? ..empty output)
                  (: Bits (array.new size|output))
                  output)
                (array.write! idx (.i64 chunk))
                (recur (dec size|output)))
            output))))))

(template [<name> <op>]
  [(def: #export (<name> param subject)
     (-> Bits Bits Bits)
     (case (n.max (array.size param)
                  (array.size subject))
       0
       ..empty

       size|output
       (loop [size|output size|output
              output ..empty]
         (let [idx (dec size|output)]
           (if (n.> 0 size|output)
             (case (|> (..chunk idx subject)
                       (<op> (..chunk idx param))
                       .nat)
               0
               (recur (dec size|output) output)

               chunk
               (|> (if (is? ..empty output)
                     (: Bits (array.new size|output))
                     output)
                   (array.write! idx (.i64 chunk))
                   (recur (dec size|output))))
             output)))))]

  [and i64.and]
  [or  i64.or]
  [xor i64.xor]
  )

(structure: #export equivalence
  (Equivalence Bits)
  
  (def: (= reference sample)
    (let [size (n.max (array.size reference)
                      (array.size sample))]
      (loop [idx 0]
        (if (n.< size idx)
          (.and ("lux i64 ="
                 (..chunk idx reference)
                 (..chunk idx sample))
                (recur (inc idx)))
          #1)))))