Mercurial > hg > Papers > 2019 > oshiro-thesis
diff final_main/src/AgdaTreeImpl.agda.replaced @ 0:83f997abf3b5
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author | e155702 |
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date | Thu, 14 Feb 2019 16:51:50 +0900 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/final_main/src/AgdaTreeImpl.agda.replaced Thu Feb 14 16:51:50 2019 +0900 @@ -0,0 +1,47 @@ +record TreeMethods {n m : Level } {a : Set n } {t : Set m } (treeImpl : Set n ) : Set (m Level.@$\sqcup$@ n) where + field + putImpl : treeImpl @$\rightarrow$@ a @$\rightarrow$@ (treeImpl @$\rightarrow$@ t) @$\rightarrow$@ t + getImpl : treeImpl @$\rightarrow$@ (treeImpl @$\rightarrow$@ Maybe a @$\rightarrow$@ t) @$\rightarrow$@ t +open TreeMethods + +record Tree {n m : Level } {a : Set n } {t : Set m } (treeImpl : Set n ) : Set (m Level.@$\sqcup$@ n) where + field + tree : treeImpl + treeMethods : TreeMethods {n} {m} {a} {t} treeImpl + putTree : a @$\rightarrow$@ (Tree treeImpl @$\rightarrow$@ t) @$\rightarrow$@ t + putTree d next = putImpl (treeMethods ) tree d (\t1 @$\rightarrow$@ next (record {tree = t1 ; treeMethods = treeMethods} )) + getTree : (Tree treeImpl @$\rightarrow$@ Maybe a @$\rightarrow$@ t) @$\rightarrow$@ t + getTree next = getImpl (treeMethods ) tree (\t1 d @$\rightarrow$@ next (record {tree = t1 ; treeMethods = treeMethods} ) d ) +open Tree + +record Node {n : Level } (a k : Set n) : Set n where + inductive + field + key : k + value : a + right : Maybe (Node a k) + left : Maybe (Node a k) + color : Color {n} +open Node + +leafNode : {n : Level } {a k : Set n} @$\rightarrow$@ k @$\rightarrow$@ a @$\rightarrow$@ Node a k +leafNode k1 value = record { + key = k1 ; + value = value ; + right = Nothing ; + left = Nothing ; + color = Red + } +record RedBlackTree {n m : Level } {t : Set m} (a k : Set n) : Set (m Level.@$\sqcup$@ n) where + field + root : Maybe (Node a k) + nodeStack : SingleLinkedStack (Node a k) + compare : k @$\rightarrow$@ k @$\rightarrow$@ CompareResult {n} +open RedBlackTree + +putRedBlackTree : {n m : Level } {a k : Set n} {t : Set m} @$\rightarrow$@ RedBlackTree {n} {m} {t} a k @$\rightarrow$@ k @$\rightarrow$@ a @$\rightarrow$@ (RedBlackTree {n} {m} {t} a k @$\rightarrow$@ t) @$\rightarrow$@ t +putRedBlackTree {n} {m} {a} {k} {t} tree k1 value next with (root tree) +... | Nothing = next (record tree {root = Just (leafNode k1 value) }) +... | Just n2 = clearSingleLinkedStack (nodeStack tree) (\ s @$\rightarrow$@ findNode tree s (leafNode k1 value) n2 (\ tree1 s n1 @$\rightarrow$@ insertNode tree1 s n1 next)) + +-- 以下省略