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|
(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\spec
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]]]
[control
[pipe (#+ let>)]
["." io]]
[data
["." product]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / (#+ State)]])
(def: (with-conditions [state output] computation)
(-> [Nat Nat] (State Nat Nat) Bit)
(|> computation
(/.run state)
product.right
(n.= output)))
(def: basics
(do random.monad
[state random.nat
value random.nat]
($_ _.and
(_.cover [/.State /.get]
(with-conditions [state state]
/.get))
(_.cover [/.put]
(with-conditions [state value]
(do /.monad
[_ (/.put value)]
/.get)))
(_.cover [/.update]
(with-conditions [state (n.* value state)]
(do /.monad
[_ (/.update (n.* value))]
/.get)))
(_.cover [/.use]
(with-conditions [state (inc state)]
(/.use inc)))
(_.cover [/.local]
(with-conditions [state (n.* value state)]
(/.local (n.* value)
/.get)))
)))
(def: (injection value)
(All [s] (Injection (State s)))
(function (_ state)
[state value]))
(def: (comparison init)
(All [s] (-> s (Comparison (State s))))
(function (_ == left right)
(== (product.right (/.run init left))
(product.right (/.run init right)))))
(def: structures
Test
(do random.monad
[state random.nat
value random.nat]
($_ _.and
(_.for [/.functor]
($functor.spec ..injection (..comparison state) /.functor))
(_.for [/.apply]
($apply.spec ..injection (..comparison state) /.apply))
(_.for [/.monad]
($monad.spec ..injection (..comparison state) /.monad))
)))
(def: loops
Test
(do {! random.monad}
[limit (|> random.nat (\ ! map (n.% 10)))
#let [condition (do /.monad
[state /.get]
(wrap (n.< limit state)))]]
($_ _.and
(_.cover [/.while /.run]
(|> (/.while condition (/.update inc))
(/.run 0)
(let> [state' output']
(n.= limit state'))))
(_.cover [/.do-while]
(|> (/.do-while condition (/.update inc))
(/.run 0)
(let> [state' output']
(or (n.= limit state')
(and (n.= 0 limit)
(n.= 1 state'))))))
)))
(def: monad-transformer
Test
(do random.monad
[state random.nat
left random.nat
right random.nat]
(let [(^open "io\.") io.monad]
(_.cover [/.State' /.with /.lift /.run']
(|> (: (/.State' io.IO Nat Nat)
(do (/.with io.monad)
[a (/.lift io.monad (io\wrap left))
b (wrap right)]
(wrap (n.+ a b))))
(/.run' state)
io.run
(let> [state' output']
(and (n.= state state')
(n.= (n.+ left right) output')))))
)))
(def: #export test
Test
(<| (_.covering /._)
($_ _.and
..basics
..structures
..loops
..monad-transformer)))
|
