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(.module:
  [lux #- not and or]
  (lux (control [equality #+ Eq]
                pipe)
       (data [maybe]
             [bit]
             (coll [array "array/" Fold<Array>])
             text/format)))

(type: #export Chunk Nat)

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

(type: #export Bits
  (Array Chunk))

(def: empty-chunk Chunk +0)

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

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

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

(def: #export (empty? bits)
  (-> Bits Bool)
  (n/= +0 (size bits)))

(def: #export (get index bits)
  (-> Nat Bits Bool)
  (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)
              (bit.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))

(do-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
                              []))
               +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 chunk)
                   (recur (dec size|output))))
             output)))))]

  [set   bit.set]
  [clear bit.clear]
  [flip  bit.flip]
  )

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

(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 (bit.not (chunk idx input))
          +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 chunk)
                (recur (dec size|output)))
            output))))))

(do-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 (<op> (chunk idx param) (chunk idx subject))
               +0
               (recur (dec size|output) output)

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

  [and bit.and]
  [or  bit.or]
  [xor bit.xor]
  )

(struct: #export _ (Eq Bits)
  (def: (= reference sample)
    (let [size|= (n/max (array.size reference)
                        (array.size sample))]
      (loop [idx +0]
        (if (n/< size|= idx)
          (.and (n/= (chunk idx reference)
                     (chunk idx sample))
                (recur (inc idx)))
          true)))))