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|
(.using
[library
[lux "*"
["_" test {"+" Test}]
[abstract
[monad {"+" do}]
[\\specification
["$[0]" functor {"+" Injection Comparison}]
["$[0]" apply]
["$[0]" monad]]]
[control
["[0]" pipe]
["[0]" io]]
[data
["[0]" product]]
[math
["[0]" random]
[number
["n" nat]]]]]
[\\library
["[0]" / {"+" State}]])
(def: (with_conditions [state output] computation)
(-> [Nat Nat] (State Nat Nat) Bit)
(|> computation
(/.result state)
product.right
(n.= output)))
(def: basics
(do random.monad
[state random.nat
value random.nat]
($_ _.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 (++ state)]
(/.use ++)))
(_.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 (/.result init left))
(product.right (/.result init right)))))
(def: structures
Test
(do random.monad
[state 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 (# ! each (n.% 10)))
.let [condition (do /.monad
[state /.get]
(in (n.< limit state)))]]
($_ _.and
(_.cover [/.while /.result]
(|> (/.while condition (/.update ++))
(/.result 0)
(pipe.let [state' output']
(n.= limit state'))))
(_.cover [/.do_while]
(|> (/.do_while condition (/.update ++))
(/.result 0)
(pipe.let [state' output']
(or (n.= limit state')
(and (n.= 0 limit)
(n.= 1 state'))))))
)))
(def: monad_transformer
Test
(do random.monad
[state random.nat
left random.nat
right random.nat]
(let [(^open "io#[0]") io.monad]
(_.cover [/.+State /.with /.lifted /.result']
(|> (: (/.+State io.IO Nat Nat)
(do (/.with io.monad)
[a (/.lifted io.monad (io#in left))
b (in right)]
(in (n.+ a b))))
(/.result' state)
io.run!
(pipe.let [state' output']
(and (n.= state state')
(n.= (n.+ left right) output')))))
)))
(def: .public test
Test
(<| (_.covering /._)
($_ _.and
..basics
..structures
..loops
..monad_transformer)))
|
