Mercurial > hg > Papers > 2020 > soto-midterm
diff src/AgdaTree.agda @ 1:73127e0ab57c
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author | soto@cr.ie.u-ryukyu.ac.jp |
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date | Tue, 08 Sep 2020 18:38:08 +0900 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/AgdaTree.agda Tue Sep 08 18:38:08 2020 +0900 @@ -0,0 +1,22 @@ +record TreeMethods {n m : Level } {a : Set n } {t : Set m } (treeImpl : Set n ) : Set (m Level.⊔ n) where + field + putImpl : treeImpl -> a -> (treeImpl -> t) -> t + getImpl : treeImpl -> (treeImpl -> Maybe a -> t) -> t +open TreeMethods + +record Tree {n m : Level } {a : Set n } {t : Set m } (treeImpl : Set n ) : Set (m Level.⊔ n) where + field + tree : treeImpl + treeMethods : TreeMethods {n} {m} {a} {t} treeImpl + putTree : a -> (Tree treeImpl -> t) -> t + putTree d next = putImpl (treeMethods ) tree d (\t1 -> next (record {tree = t1 ; treeMethods = treeMethods} )) + getTree : (Tree treeImpl -> Maybe a -> t) -> t + getTree next = getImpl (treeMethods ) tree (\t1 d -> next (record {tree = t1 ; treeMethods = treeMethods} ) d ) +open Tree + +record RedBlackTree {n m : Level } {t : Set m} (a k : Set n) : Set (m Level.⊔ n) where + field + root : Maybe (Node a k) + nodeStack : SingleLinkedStack (Node a k) + compare : k -> k -> CompareResult {n} +open RedBlackTree