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|
(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]]
[control
["[0]" io {"+" [IO]}]
["[0]" state {"+" [State]} ("[1]#[0]" monad)]]
[data
["[0]" product]
[collection
["[0]" dictionary {"+" [Dictionary]}]
["[0]" list ("[1]#[0]" functor mix)]]]
[math
["[0]" random]
[number
["n" nat]
["[0]" i64]]]
[time
["[0]" instant]
["[0]" duration {"+" [Duration]}]]]]
[\\library
["[0]" /
["/[1]" // "_"
["[1]" mixin]]]])
(def: (fibonacci recur input)
(/.Memo Nat Nat)
(case input
0 (state#in 0)
1 (state#in 1)
_ (do state.monad
[output_1 (recur (n.- 1 input))
output_2 (recur (n.- 2 input))]
(in (n.+ output_1 output_2)))))
(def: (time function input)
(All (_ i o) (-> (-> i o) i (IO [Duration o])))
(do io.monad
[before instant.now
.let [output (function input)]
after instant.now]
(in [(instant.span before after)
output])))
(def: milli_seconds
(-> Duration Nat)
(|>> (duration.ticks duration.milli_second) .nat))
... the wiggle room is there to account for GC pauses
... and other issues that might mess with duration
(def: wiggle_room
Nat
(i64.left_shifted 4 1))
(def: .public test
Test
(<| (_.covering /._)
(do [! random.monad]
[input (|> random.nat (# ! each (|>> (n.% 5) (n.+ 21))))])
(_.for [/.Memo])
($_ _.and
(_.cover [/.closed /.none]
(io.run!
(do io.monad
[.let [slow (/.none n.hash ..fibonacci)
fast (/.closed n.hash fibonacci)]
[slow_time slow_output] (..time slow input)
[fast_time fast_output] (..time fast input)
.let [same_output!
(n.= slow_output
fast_output)
memo_is_faster!
(n.< (n.+ ..wiggle_room (milli_seconds slow_time))
(milli_seconds fast_time))]]
(in (and same_output!
memo_is_faster!)))))
(_.cover [/.open]
(io.run!
(do io.monad
[.let [none (/.none n.hash ..fibonacci)
memory (dictionary.empty n.hash)
open (/.open fibonacci)]
[none_time none_output] (..time none input)
[open_time [memory open_output]] (..time open [memory input])
[open_time/+1 _] (..time open [memory (++ input)])
.let [same_output!
(n.= none_output
open_output)
memo_is_faster!
(n.< (n.+ ..wiggle_room (milli_seconds none_time))
(milli_seconds open_time))
incrementalism_is_faster!
(n.< (n.+ ..wiggle_room (milli_seconds open_time))
(milli_seconds open_time/+1))]]
(in (and same_output!
memo_is_faster!
incrementalism_is_faster!)))))
(_.cover [/.memoization]
(let [memo (<| //.fixed
(//.mixed /.memoization)
(: (//.Mixin Nat (State (Dictionary Nat Nat) Nat))
(function (factorial delegate recur input)
(case input
(^or 0 1) (# state.monad in 1)
_ (do state.monad
[output' (recur (-- input))]
(in (n.* input output')))))))
expected (|> (list.indices input)
(list#each ++)
(list#mix n.* 1))
actual (|> (memo input)
(state.result (dictionary.empty n.hash))
product.right)]
(n.= expected actual)))
)))
|
