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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
["." monad (#+ do)]
["." enum]
[\\spec
["$." equivalence]
["$." monoid]]]
[control
["." try (#+ Try)]
["." exception (#+ Exception)]]
[data
[collection
["." list]]]
[math
["." random (#+ Random)]
[number
["." i64]
["n" nat]]]]]
[\\library
["." / (#+ Binary)]])
(def: (succeed result)
(-> (Try Bit) Bit)
(case result
(#try.Failure _)
false
(#try.Success output)
output))
(def: #export (random size)
(-> Nat (Random Binary))
(let [output (/.create size)]
(loop [idx 0]
(if (n.< size idx)
(do random.monad
[byte random.nat]
(exec (try.assume (/.write/8 idx byte output))
(recur (inc idx))))
(\ random.monad wrap output)))))
(def: (throws? exception try)
(All [e a] (-> (Exception e) (Try a) Bit))
(case try
(#try.Failure error)
(exception.match? exception error)
(#try.Success _)
false))
(def: (binary_io power read write value)
(-> Nat (-> Nat Binary (Try Nat)) (-> Nat Nat Binary (Try Any)) Nat Bit)
(let [bytes (i64.left_shift power 1)
binary (/.create bytes)
cap (case bytes
8 (dec 0)
_ (|> 1 (i64.left_shift (n.* 8 bytes)) dec))
capped_value (i64.and cap value)]
(and (..succeed
(do try.monad
[pre (read 0 binary)
_ (write 0 value binary)
post (read 0 binary)]
(wrap (and (n.= 0 pre)
(n.= capped_value post)))))
(throws? /.index_out_of_bounds (read 1 binary))
(throws? /.index_out_of_bounds (write 1 value binary)))))
(def: as_list
(-> /.Binary (List Nat))
(/.fold (function (_ head tail)
(#.Cons head tail))
(list)))
(def: #export test
Test
(<| (_.covering /._)
(do {! random.monad}
[#let [gen_size (|> random.nat (\ ! map (|>> (n.% 100) (n.max 8))))]
size gen_size
sample (..random size)
value random.nat
#let [gen_idx (|> random.nat (\ ! map (n.% size)))]
offset gen_idx
length (\ ! map (n.% (n.- offset size)) random.nat)]
(_.for [/.Binary]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec /.equivalence (..random size)))
(_.for [/.monoid]
($monoid.spec /.equivalence /.monoid (..random size)))
(_.cover [/.fold]
(n.= (\ list.fold fold n.+ 0 (..as_list sample))
(/.fold n.+ 0 sample)))
(_.cover [/.create]
(\ /.equivalence =
(/.create size)
(/.create size)))
(_.cover [/.size]
(|> (/.create size) /.size (n.= size)))
(_.for [/.index_out_of_bounds]
($_ _.and
(_.cover [/.read/8 /.write/8]
(..binary_io 0 /.read/8 /.write/8 value))
(_.cover [/.read/16 /.write/16]
(..binary_io 1 /.read/16 /.write/16 value))
(_.cover [/.read/32 /.write/32]
(..binary_io 2 /.read/32 /.write/32 value))
(_.cover [/.read/64 /.write/64]
(..binary_io 3 /.read/64 /.write/64 value))))
(_.cover [/.slice]
(let [random_slice (try.assume (/.slice offset length sample))
idxs (: (List Nat)
(case length
0 (list)
_ (enum.range n.enum 0 (dec length))))
reader (function (_ binary idx)
(/.read/8 idx binary))]
(and (n.= length (/.size random_slice))
(case [(monad.map try.monad (|>> (n.+ offset) (reader sample)) idxs)
(monad.map try.monad (reader random_slice) idxs)]
[(#try.Success binary_vals) (#try.Success slice_vals)]
(\ (list.equivalence n.equivalence) = binary_vals slice_vals)
_
#0))))
(_.cover [/.slice_out_of_bounds]
(and (throws? /.slice_out_of_bounds (/.slice size size sample))
(let [verdict (throws? /.slice_out_of_bounds (/.slice offset size sample))]
(case offset
0 (not verdict)
_ verdict))))
(_.cover [/.drop]
(and (\ /.equivalence = sample (/.drop 0 sample))
(\ /.equivalence = (/.create 0) (/.drop size sample))
(case (list.reverse (..as_list sample))
#.Nil
false
(#.Cons head tail)
(n.= (list.fold n.+ 0 tail)
(/.fold n.+ 0 (/.drop 1 sample))))))
(_.cover [/.copy]
(and (case (/.copy size 0 sample 0 (/.create size))
(#try.Success output)
(and (not (is? sample output))
(\ /.equivalence = sample output))
(#try.Failure _)
false)
(succeed
(do try.monad
[sample/0 (/.read/8 0 sample)
copy (/.copy 1 0 sample 0 (/.create 2))
copy/0 (/.read/8 0 copy)
copy/1 (/.read/8 1 copy)]
(wrap (and (n.= sample/0 copy/0)
(n.= 0 copy/1)))))))
)))))
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