51b56b20ec
This PR adds missing monadic higher order functions on `List`/`Array`/`Vector`. Only the most basic verification lemmas (relating the operations on the three container types) are provided for now.
111 lines
2.1 KiB
Text
111 lines
2.1 KiB
Text
-- This files tracks the implementation of monadic functions for lists, arrays, and vectors.
|
||
-- This is just about the definitions, not the theorems.
|
||
|
||
#check List.mapM
|
||
#check Array.mapM
|
||
#check Vector.mapM
|
||
|
||
#check List.flatMapM
|
||
#check Array.flatMapM
|
||
#check Vector.flatMapM
|
||
|
||
#check List.mapFinIdxM
|
||
#check Array.mapFinIdxM
|
||
#check Vector.mapFinIdxM
|
||
|
||
#check List.mapIdxM
|
||
#check Array.mapIdxM
|
||
#check Vector.mapIdxM
|
||
|
||
#check List.firstM
|
||
#check Array.firstM
|
||
#check Vector.firstM
|
||
|
||
#check List.forM
|
||
#check Array.forM
|
||
#check Vector.forM
|
||
|
||
#check List.filterM
|
||
#check Array.filterM
|
||
|
||
#check List.filterRevM
|
||
#check Array.filterRevM
|
||
|
||
#check List.filterMapM
|
||
#check Array.filterMapM
|
||
|
||
#check List.foldlM
|
||
#check Array.foldlM
|
||
#check Vector.foldlM
|
||
|
||
#check List.foldrM
|
||
#check Array.foldrM
|
||
#check Vector.foldrM
|
||
|
||
#check List.findM?
|
||
#check Array.findM?
|
||
#check Vector.findM?
|
||
|
||
#check List.findSomeM?
|
||
#check Array.findSomeM?
|
||
#check Vector.findSomeM?
|
||
|
||
#check List.anyM
|
||
#check Array.anyM
|
||
#check Vector.anyM
|
||
|
||
#check List.allM
|
||
#check Array.allM
|
||
#check Vector.allM
|
||
|
||
variable {m : Type v → Type w} [Monad m] {α : Type} {n : Nat}
|
||
#synth ForIn' m (List α) α inferInstance
|
||
#synth ForIn' m (Array α) α inferInstance
|
||
#synth ForIn' m (Vector α n) α inferInstance
|
||
|
||
#check List.forM
|
||
#check Array.forM
|
||
#check Vector.forM
|
||
|
||
#synth ForM m (List α) α
|
||
#synth ForM m (Array α) α
|
||
#synth ForM m (Vector α n) α
|
||
|
||
#synth Functor List
|
||
#synth Functor Array
|
||
|
||
-- These operations still have discrepancies.
|
||
|
||
-- #check List.modifyM
|
||
#check Array.modifyM
|
||
-- #check Vector.modifyM
|
||
|
||
-- #check List.forRevM
|
||
#check Array.forRevM
|
||
-- #check Vector.forRevM
|
||
|
||
-- #check List.findRevM?
|
||
#check Array.findRevM?
|
||
-- #check Vector.findRevM?
|
||
|
||
-- #check List.findSomeRevM?
|
||
#check Array.findSomeRevM?
|
||
-- #check Vector.findSomeRevM?
|
||
|
||
-- #check List.findIdxM?
|
||
#check Array.findIdxM?
|
||
-- #check Vector.findIdxM?
|
||
|
||
-- The following have not been implemented for any of the containers.
|
||
|
||
-- #check List.foldlIdxM
|
||
-- #check Array.foldlIdxM
|
||
-- #check Vector.foldlIdxM
|
||
|
||
-- #check List.foldrIdxM
|
||
-- #check Array.foldrIdxM
|
||
-- #check Vector.foldrIdxM
|
||
|
||
-- #check List.ofFnM
|
||
-- #check Array.ofFnM
|
||
-- #check Vector.ofFnM
|