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|
(.module:
[lux #*
[abstract ["." monad (#+ do)]]
[data
["." name]]
["r" math/random (#+ Random) ("#@." monad)]
["_" test (#+ Test)]
[control
pipe
["." try]]
[data
["." product]
["." maybe]
[number
["." nat]]
[collection
["." list ("#@." functor fold)]
["dict" dictionary (#+ Dictionary)]
["." set]]]]
["." // #_
["#." primitive]]
{1
["." /
["/#" //
["/#" //
[extension
["#." bundle]]
["/#" //
["#." reference (#+ Variable) ("variable@." equivalence)]
["#." analysis (#+ Arity Analysis)]
["#." synthesis (#+ Synthesis)]]]]]})
(def: constant-function
(Random [Arity Analysis Analysis])
(r.rec
(function (_ constant-function)
(do r.monad
[function? r.bit]
(if function?
(do @
[[arity bodyA predictionA] constant-function]
(wrap [(inc arity)
(#////analysis.Function (list) bodyA)
predictionA]))
(do @
[predictionA //primitive.primitive]
(wrap [0 predictionA predictionA])))))))
(def: (pick scope-size)
(-> Nat (Random Nat))
(|> r.nat (:: r.monad map (n/% scope-size))))
(def: function-with-environment
(Random [Arity Analysis Variable])
(do r.monad
[num-locals (|> r.nat (:: @ map (|>> (n/% 100) (n/max 10))))
#let [indices (list.n/range 0 (dec num-locals))
local-env (list@map (|>> #////reference.Local) indices)
foreign-env (list@map (|>> #////reference.Foreign) indices)]
[arity bodyA predictionA] (: (Random [Arity Analysis Variable])
(loop [arity 1
current-env foreign-env]
(let [current-env/size (list.size current-env)
resolver (list@fold (function (_ [idx var] resolver)
(dict.put idx var resolver))
(: (Dictionary Nat Variable)
(dict.new nat.hash))
(list.enumerate current-env))]
(do @
[nest? r.bit]
(if nest?
(do @
[num-picks (:: @ map (n/max 1) (pick (inc current-env/size)))
picks (|> (r.set nat.hash num-picks (pick current-env/size))
(:: @ map set.to-list))
[arity bodyA predictionA] (recur (inc arity)
(list@map (function (_ pick)
(maybe.assume (list.nth pick current-env)))
picks))
#let [picked-env (list@map (|>> #////reference.Foreign) picks)]]
(wrap [arity
(#////analysis.Function picked-env bodyA)
predictionA]))
(do @
[chosen (pick (list.size current-env))]
(wrap [arity
(#////analysis.Reference (////reference.foreign chosen))
(maybe.assume (dict.get chosen resolver))])))))))]
(wrap [arity
(#////analysis.Function local-env bodyA)
predictionA])))
(def: local-function
(Random [Arity Analysis Variable])
(loop [arity 0
nest? #1]
(if nest?
(do r.monad
[nest?' r.bit
[arity' bodyA predictionA] (recur (inc arity) nest?')]
(wrap [arity'
(#////analysis.Function (list) bodyA)
predictionA]))
(do r.monad
[chosen (|> r.nat (:: @ map (|>> (n/% 100) (n/max 2))))]
(wrap [arity
(#////analysis.Reference (////reference.local chosen))
(|> chosen (n/+ (dec arity)) #////reference.Local)])))))
(def: abstraction
Test
(do r.monad
[[arity//constant function//constant prediction//constant] constant-function
[arity//environment function//environment prediction//environment] function-with-environment
[arity//local function//local prediction//local] local-function]
($_ _.and
(_.test "Nested functions will get folded together."
(|> function//constant
//.phase
(///.run [///bundle.empty ////synthesis.init])
(case> (^ (#try.Success (////synthesis.function/abstraction [environment arity output])))
(and (n/= arity//constant arity)
(//primitive.corresponds? prediction//constant output))
_
(n/= 0 arity//constant))))
(_.test "Folded functions provide direct access to environment variables."
(|> function//environment
//.phase
(///.run [///bundle.empty ////synthesis.init])
(case> (^ (#try.Success (////synthesis.function/abstraction [environment arity (#////synthesis.Reference (////reference.variable output))])))
(and (n/= arity//environment arity)
(variable@= prediction//environment output))
_
#0)))
(_.test "Folded functions properly offset local variables."
(|> function//local
//.phase
(///.run [///bundle.empty ////synthesis.init])
(case> (^ (#try.Success (////synthesis.function/abstraction [environment arity (#////synthesis.Reference (////reference.variable output))])))
(and (n/= arity//local arity)
(variable@= prediction//local output))
_
#0)))
)))
(def: application
Test
(do r.monad
[arity (|> r.nat (:: @ map (|>> (n/% 10) (n/max 1))))
funcA //primitive.primitive
argsA (r.list arity //primitive.primitive)]
($_ _.and
(_.test "Can synthesize function application."
(|> (////analysis.apply [funcA argsA])
//.phase
(///.run [///bundle.empty ////synthesis.init])
(case> (^ (#try.Success (////synthesis.function/apply [funcS argsS])))
(and (//primitive.corresponds? funcA funcS)
(list.every? (product.uncurry //primitive.corresponds?)
(list.zip2 argsA argsS)))
_
#0)))
(_.test "Function application on no arguments just synthesizes to the function itself."
(|> (////analysis.apply [funcA (list)])
//.phase
(///.run [///bundle.empty ////synthesis.init])
(case> (#try.Success funcS)
(//primitive.corresponds? funcA funcS)
_
#0)))
)))
(def: #export test
Test
(<| (_.context (name.module (name-of /._)))
($_ _.and
..abstraction
..application
)))
|
