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-rw-r--r-- | sca-cpp/branches/cpp-contrib/kernel/tree.hpp | 125 |
1 files changed, 125 insertions, 0 deletions
diff --git a/sca-cpp/branches/cpp-contrib/kernel/tree.hpp b/sca-cpp/branches/cpp-contrib/kernel/tree.hpp new file mode 100644 index 0000000000..436385aa1b --- /dev/null +++ b/sca-cpp/branches/cpp-contrib/kernel/tree.hpp @@ -0,0 +1,125 @@ +/* + * Licensed to the Apache Software Foundation (ASF) under one + * or more contributor license agreements. See the NOTICE file + * distributed with this work for additional information + * regarding copyright ownership. The ASF licenses this file + * to you under the Apache License, Version 2.0 (the + * "License"); you may not use this file except in compliance + * with the License. You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, + * software distributed under the License is distributed on an + * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY + * KIND, either express or implied. See the License for the + * specific language governing permissions and limitations + * under the License. + */ + +/* $Rev$ $Date$ */ + +#ifndef tuscany_tree_hpp +#define tuscany_tree_hpp + +/** + * Functions to work with trees. + */ + +#include "stream.hpp" +#include "string.hpp" +#include "function.hpp" +#include "list.hpp" +#include "monad.hpp" +#include "value.hpp" + +namespace tuscany { + +/** + * Make a tree from a leaf and two branches. + */ +template<typename T> const list<T> mktree(const T& e, const list<T>& left, const list<T>& right) { + return mklist<T>(e, left, right); +} + +/** + * Find a leaf with the given key in a tree. + */ +template<typename T> const list<T> assoctree(const T& k, const list<T>& tree) { + if (isNil(tree)) + return tree; + if (k == car<T>(car(tree))) + return car(tree); + if (k < car<T>(car(tree))) + return assoctree<T>(k, cadr(tree)); + return assoctree<T>(k, caddr(tree)); +} + +/** + * Construct a new tree from a leaf and a tree. + */ +template<typename T> const list<T> constree(const T& e, const list<T>& tree) { + if (isNil(tree)) + return mktree(e, list<T>(), list<T>()); + if (e == car(tree)) + return tree; + if (e < car(tree)) + return mktree<T>(car(tree), constree<T>(e, cadr(tree)), caddr(tree)); + return mktree<T>(car(tree), cadr(tree), constree<T>(e, caddr(tree))); +} + +/** + * Make a tree from an unordered list of leaves. + */ +template<typename T> const list<T> mktree(const list<T>& l) { + if (isNil(l)) + return l; + return constree(car(l), mktree(cdr(l))); +} + +/** + * Convert a tree to an ordered list of leaves. + */ +template<typename T> const list<T> flatten(const list<T>& tree) { + if (isNil(tree)) + return tree; + return append<T>(flatten<T>(cadr(tree)), cons<T>(car(tree), flatten<T>(caddr(tree)))); +} + +/** + * Sort a list. + */ +template<typename T> const list<T> sort(const list<T>& l) { + return flatten(mktree(l)); +} + +/** + * Make a balanced tree from an ordered list of leaves. + */ +template<typename T> const list<T> btreeHelper(const list<T>& elements, const int n) { + if (n == 0) + return cons<T>(list<T>(), elements); + const int leftSize = (n - 1) / 2; { + const list<T> leftResult = btreeHelper<T>(elements, leftSize); { + const list<T> leftTree = car(leftResult); + const list<T> nonLeftElements = cdr(leftResult); + const int rightSize = n - (leftSize + 1); { + const T thisEntry = car(nonLeftElements); + const list<T> rightResult = btreeHelper<T>(cdr(nonLeftElements), rightSize); { + const list<T> rightTree = car(rightResult); + const list<T> remainingElements = cdr(rightResult); { + return cons<T>(mktree<T>(thisEntry, leftTree, rightTree), remainingElements); + } + } + } + } + } +} + +template<typename T> const list<T> mkbtree(const list<T>& elements) { + return car(btreeHelper<T>(elements, length(elements))); +} + +} + +#endif /* tuscany_tree_hpp */ |