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(.module:
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
{[0 #test]
[/
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]]}]
[control
[pipe (#+ let>)]
["." io]]
[data
["." product]
[text
["%" format (#+ format)]]]
[math
["r" random]]]
{1
["." / (#+ State)]})
(def: (with-conditions [state output] computation)
(-> [Nat Nat] (State Nat Nat) Bit)
(|> computation
(/.run state)
product.right
(n/= output)))
(def: basics
(do r.monad
[state r.nat
value r.nat]
($_ _.and
(_.test "Can get the state as a value."
(with-conditions [state state]
/.get))
(_.test "Can replace the state."
(with-conditions [state value]
(do /.monad
[_ (/.put value)]
/.get)))
(_.test "Can update the state."
(with-conditions [state (n/* value state)]
(do /.monad
[_ (/.update (n/* value))]
/.get)))
(_.test "Can use the state."
(with-conditions [state (inc state)]
(/.use inc)))
(_.test "Can use a temporary (local) state."
(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 r.monad
[state r.nat
value r.nat]
($_ _.and
($functor.spec ..injection (..comparison state) /.functor)
($apply.spec ..injection (..comparison state) /.apply)
($monad.spec ..injection (..comparison state) /.monad)
)))
(def: loops
Test
(do r.monad
[limit (|> r.nat (:: @ map (n/% 10)))
#let [condition (do /.monad
[state /.get]
(wrap (n/< limit state)))]]
($_ _.and
(_.test "'while' will only execute if the condition is #1."
(|> (/.while condition (/.update inc))
(/.run 0)
(let> [state' output']
(n/= limit state'))))
(_.test "'do-while' will execute at least once."
(|> (/.do-while condition (/.update inc))
(/.run 0)
(let> [state' output']
(or (n/= limit state')
(and (n/= 0 limit)
(n/= 1 state'))))))
)))
(def: monad-transformer
Test
(do r.monad
[state r.nat
left r.nat
right r.nat]
(let [(^open "io;.") io.monad]
(_.test "Can add state functionality to any monad."
(|> (: (/.State' io.IO Nat Nat)
(do (/.with io.monad)
[a (/.lift io.monad (io;wrap left))
b (wrap right)]
(wrap (n/+ a b))))
(/.run' state)
io.run
(let> [state' output']
(and (n/= state state')
(n/= (n/+ left right) output')))))
)))
(def: #export test
Test
(<| (_.context (%.name (name-of /.State)))
($_ _.and
(<| (_.context "Basics.")
..basics)
(<| (_.context "Structures.")
..structures)
(<| (_.context "Loops.")
..loops)
(<| (_.context "Monad transformer.")
..monad-transformer))))
|
