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authorbculkin2442 <bjculkin@mix.wvu.edu>2019-07-02 18:05:22 -0400
committerbculkin2442 <bjculkin@mix.wvu.edu>2019-07-02 18:05:22 -0400
commit843329de434bb334d90927c4d22345373a388530 (patch)
treeb0ad1f764bd29ff43841e1095a5b58194c20cb37 /src/main/java/bjc/funcdata/bst
parentac36f171a3cebb0993cc28548635e3f654f8e325 (diff)
Rename package root
The package root is now bjc, not io.github.bculkin2442.
Diffstat (limited to 'src/main/java/bjc/funcdata/bst')
-rw-r--r--src/main/java/bjc/funcdata/bst/BinarySearchTree.java224
-rw-r--r--src/main/java/bjc/funcdata/bst/BinarySearchTreeLeaf.java115
-rw-r--r--src/main/java/bjc/funcdata/bst/BinarySearchTreeNode.java295
-rw-r--r--src/main/java/bjc/funcdata/bst/DirectedWalkFunction.java44
-rw-r--r--src/main/java/bjc/funcdata/bst/ITreePart.java104
-rw-r--r--src/main/java/bjc/funcdata/bst/TreeLinearizationMethod.java24
6 files changed, 806 insertions, 0 deletions
diff --git a/src/main/java/bjc/funcdata/bst/BinarySearchTree.java b/src/main/java/bjc/funcdata/bst/BinarySearchTree.java
new file mode 100644
index 0000000..d0319e4
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/BinarySearchTree.java
@@ -0,0 +1,224 @@
+package bjc.funcdata.bst;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.List;
+import java.util.function.Predicate;
+
+import bjc.funcdata.FunctionalList;
+import bjc.funcdata.IList;
+
+/**
+ * A binary search tree, with some mild support for functional traversal.
+ *
+ * @author ben
+ *
+ * @param <T>
+ * The data type stored in the node.
+ */
+public class BinarySearchTree<T> {
+ /* The comparator for use in ordering items */
+ private final Comparator<T> comparator;
+
+ /* The current count of elements in the tree */
+ private int elementCount;
+
+ /* The root element of the tree */
+ private ITreePart<T> root;
+
+ /**
+ * Create a new tree using the specified way to compare elements.
+ *
+ * @param cmp
+ * The thing to use for comparing elements
+ */
+ public BinarySearchTree(final Comparator<T> cmp) {
+ if(cmp == null) throw new NullPointerException("Comparator must not be null");
+
+ elementCount = 0;
+ comparator = cmp;
+ }
+
+ /**
+ * Add a node to the binary search tree.
+ *
+ * @param element
+ * The data to add to the binary search tree.
+ */
+ public void addNode(final T element) {
+ elementCount++;
+
+ if(root == null) {
+ root = new BinarySearchTreeNode<>(element, null, null);
+ } else {
+ root.add(element, comparator);
+ }
+ }
+
+ /**
+ * Check if an adjusted pivot falls with the bounds of a list.
+ *
+ * @param elements
+ * The list to get bounds from.
+ *
+ * @param pivot
+ * The pivot.
+ *
+ * @param pivotAdjustment
+ * The distance from the pivot.
+ *
+ * @return Whether the adjusted pivot is with the list.
+ */
+ private boolean adjustedPivotInBounds(final IList<T> elements, final int pivot, final int pivotAdjustment) {
+ return ((pivot - pivotAdjustment) >= 0) && ((pivot + pivotAdjustment) < elements.getSize());
+ }
+
+ /**
+ * Balance the tree, and remove soft-deleted nodes for free.
+ *
+ * Takes O(N) time, but also O(N) space.
+ */
+ public void balance() {
+ final IList<T> elements = new FunctionalList<>();
+
+ /* Add each element to the list in sorted order. */
+ root.forEach(TreeLinearizationMethod.INORDER, element -> elements.add(element));
+
+ /* Clear the tree. */
+ root = null;
+
+ /* Set up the pivot and adjustment for readding elements. */
+ final int pivot = elements.getSize() / 2;
+ int pivotAdjustment = 0;
+
+ /* Add elements until there aren't any left. */
+ while(adjustedPivotInBounds(elements, pivot, pivotAdjustment)) {
+ if(root == null) {
+ /* Create a new root element. */
+ root = new BinarySearchTreeNode<>(elements.getByIndex(pivot), null, null);
+ } else {
+ /*
+ * Add the left and right elements in a balanced
+ * manner.
+ */
+ root.add(elements.getByIndex(pivot + pivotAdjustment), comparator);
+ root.add(elements.getByIndex(pivot - pivotAdjustment), comparator);
+ }
+
+ /* Increase the distance from the pivot. */
+ pivotAdjustment++;
+ }
+
+ /* Add any trailing unbalanced elements. */
+ if(pivot - pivotAdjustment >= 0) {
+ root.add(elements.getByIndex(pivot - pivotAdjustment), comparator);
+ } else if(pivot + pivotAdjustment < elements.getSize()) {
+ root.add(elements.getByIndex(pivot + pivotAdjustment), comparator);
+ }
+ }
+
+ /**
+ * Soft-delete a node from the tree.
+ *
+ * Soft-deleted nodes stay in the tree until trim()/balance() is
+ * invoked, and are not included in traversals/finds.
+ *
+ * @param element
+ * The node to delete
+ */
+ public void deleteNode(final T element) {
+ elementCount--;
+
+ root.delete(element, comparator);
+ }
+
+ /**
+ * Get the root of the tree.
+ *
+ * @return The root of the tree.
+ */
+ public ITreePart<T> getRoot() {
+ return root;
+ }
+
+ /**
+ * Check if a node is in the tree.
+ *
+ * @param element
+ * The node to check the presence of for the tree..
+ *
+ * @return Whether or not the node is in the tree.
+ */
+ public boolean isInTree(final T element) {
+ return root.contains(element, comparator);
+ }
+
+ /**
+ * Traverse the tree in a specified way until the function fails.
+ *
+ * @param linearizationMethod
+ * The way to linearize the tree for traversal.
+ *
+ * @param traversalPredicate
+ * The function to use until it fails.
+ */
+ public void traverse(final TreeLinearizationMethod linearizationMethod, final Predicate<T> traversalPredicate) {
+ if(linearizationMethod == null) {
+ throw new NullPointerException("Linearization method must not be null");
+ } else if(traversalPredicate == null) {
+ throw new NullPointerException("Predicate must not be nulls");
+ }
+
+ root.forEach(linearizationMethod, traversalPredicate);
+ }
+
+ /** Remove all soft-deleted nodes from the tree. */
+ public void trim() {
+ final List<T> nodes = new ArrayList<>(elementCount);
+
+ /*
+ * Add all non-soft deleted nodes to the tree in insertion
+ * order.
+ */
+ traverse(TreeLinearizationMethod.PREORDER, node -> {
+ nodes.add(node);
+ return true;
+ });
+
+ /* Clear the tree. */
+ root = null;
+
+ /* Add the nodes to the tree in the order they were inserted. */
+ nodes.forEach(node -> addNode(node));
+ }
+
+ @Override
+ public String toString() {
+ return String.format("BinarySearchTree [elementCount=%s, root='%s']", elementCount, root);
+ }
+
+ @Override
+ public int hashCode() {
+ final int prime = 31;
+ int result = 1;
+ result = prime * result + elementCount;
+ result = prime * result + (root == null ? 0 : root.hashCode());
+ return result;
+ }
+
+ @Override
+ public boolean equals(final Object obj) {
+ if(this == obj) return true;
+ if(obj == null) return false;
+ if(!(obj instanceof BinarySearchTree<?>)) return false;
+
+ final BinarySearchTree<?> other = (BinarySearchTree<?>) obj;
+
+ if(elementCount != other.elementCount) return false;
+ if(root == null) {
+ if(other.root != null) return false;
+ } else if(!root.equals(other.root)) return false;
+
+ return true;
+ }
+}
diff --git a/src/main/java/bjc/funcdata/bst/BinarySearchTreeLeaf.java b/src/main/java/bjc/funcdata/bst/BinarySearchTreeLeaf.java
new file mode 100644
index 0000000..dfad3d9
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/BinarySearchTreeLeaf.java
@@ -0,0 +1,115 @@
+package bjc.funcdata.bst;
+
+import java.util.Comparator;
+import java.util.function.BiFunction;
+import java.util.function.Function;
+import java.util.function.Predicate;
+
+/**
+ * A leaf in a tree.
+ *
+ * @author ben
+ *
+ * @param <T>
+ * The data stored in the tree.
+ */
+public class BinarySearchTreeLeaf<T> implements ITreePart<T> {
+ /** The data held in this tree leaf */
+ protected T data;
+
+ /** Whether this node is soft-deleted or not */
+ protected boolean isDeleted;
+
+ /**
+ * Create a new leaf holding the specified data.
+ *
+ * @param element
+ * The data for the leaf to hold.
+ */
+ public BinarySearchTreeLeaf(final T element) {
+ data = element;
+ }
+
+ @Override
+ public void add(final T element, final Comparator<T> comparator) {
+ throw new IllegalArgumentException("Can't add to a leaf.");
+ }
+
+ @Override
+ public <E> E collapse(final Function<T, E> leafTransformer, final BiFunction<E, E, E> branchCollapser) {
+ if(leafTransformer == null) throw new NullPointerException("Transformer must not be null");
+
+ return leafTransformer.apply(data);
+ }
+
+ @Override
+ public boolean contains(final T element, final Comparator<T> comparator) {
+ return this.data.equals(element);
+ }
+
+ @Override
+ public T data() {
+ return data;
+ }
+
+ @Override
+ public void delete(final T element, final Comparator<T> comparator) {
+ if(data.equals(element)) {
+ isDeleted = true;
+ }
+ }
+
+ @Override
+ public boolean directedWalk(final DirectedWalkFunction<T> treeWalker) {
+ if(treeWalker == null) throw new NullPointerException("Tree walker must not be null");
+
+ switch(treeWalker.walk(data)) {
+ case SUCCESS:
+ return true;
+ /* We don't have any children to care about. */
+ case FAILURE:
+ case LEFT:
+ case RIGHT:
+ default:
+ return false;
+ }
+ }
+
+ @Override
+ public boolean forEach(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ if(traversalPredicate == null) throw new NullPointerException("Predicate must not be null");
+
+ return traversalPredicate.test(data);
+ }
+
+ @Override
+ public String toString() {
+ return String.format("BinarySearchTreeLeaf [data='%s', isDeleted=%s]", data, isDeleted);
+ }
+
+ @Override
+ public int hashCode() {
+ final int prime = 31;
+ int result = 1;
+ result = prime * result + (data == null ? 0 : data.hashCode());
+ result = prime * result + (isDeleted ? 1231 : 1237);
+ return result;
+ }
+
+ @Override
+ public boolean equals(final Object obj) {
+ if(this == obj) return true;
+ if(obj == null) return false;
+ if(!(obj instanceof BinarySearchTreeLeaf<?>)) return false;
+
+ final BinarySearchTreeLeaf<?> other = (BinarySearchTreeLeaf<?>) obj;
+
+ if(data == null) {
+ if(other.data != null) return false;
+ } else if(!data.equals(other.data)) return false;
+ if(isDeleted != other.isDeleted) return false;
+
+ return true;
+ }
+}
diff --git a/src/main/java/bjc/funcdata/bst/BinarySearchTreeNode.java b/src/main/java/bjc/funcdata/bst/BinarySearchTreeNode.java
new file mode 100644
index 0000000..0453f80
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/BinarySearchTreeNode.java
@@ -0,0 +1,295 @@
+package bjc.funcdata.bst;
+
+import static bjc.funcdata.bst.DirectedWalkFunction.DirectedWalkResult.FAILURE;
+import static bjc.funcdata.bst.DirectedWalkFunction.DirectedWalkResult.LEFT;
+import static bjc.funcdata.bst.DirectedWalkFunction.DirectedWalkResult.RIGHT;
+import static bjc.funcdata.bst.DirectedWalkFunction.DirectedWalkResult.SUCCESS;
+
+import java.util.Comparator;
+import java.util.function.BiFunction;
+import java.util.function.Function;
+import java.util.function.Predicate;
+
+/**
+ * A binary node in a tree.
+ *
+ * @author ben
+ *
+ * @param <T>
+ * The data type stored in the tree.
+ */
+public class BinarySearchTreeNode<T> extends BinarySearchTreeLeaf<T> {
+ /* The left child of this node */
+ private ITreePart<T> left;
+
+ /* The right child of this node */
+ private ITreePart<T> right;
+
+ /**
+ * Create a new node with the specified data and children.
+ *
+ * @param element
+ * The data to store in this node.
+ *
+ * @param lft
+ * The left child of this node.
+ *
+ * @param rght
+ * The right child of this node.
+ */
+ public BinarySearchTreeNode(final T element, final ITreePart<T> lft, final ITreePart<T> rght) {
+ super(element);
+ this.left = lft;
+ this.right = rght;
+ }
+
+ @Override
+ public void add(final T element, final Comparator<T> comparator) {
+ if(comparator == null) throw new NullPointerException("Comparator must not be null");
+
+ switch(comparator.compare(data, element)) {
+ case -1:
+ if(left == null) {
+ left = new BinarySearchTreeNode<>(element, null, null);
+ } else {
+ left.add(element, comparator);
+ }
+ break;
+ case 0:
+ if(isDeleted) {
+ isDeleted = false;
+ } else
+ throw new IllegalArgumentException("Can't add duplicate values");
+ break;
+ case 1:
+ if(right == null) {
+ right = new BinarySearchTreeNode<>(element, null, null);
+ } else {
+ right.add(element, comparator);
+ }
+ break;
+ default:
+ throw new IllegalStateException("Error: Comparator yielded invalid value");
+ }
+ }
+
+ @Override
+ public <E> E collapse(final Function<T, E> nodeCollapser, final BiFunction<E, E, E> branchCollapser) {
+ if(nodeCollapser == null || branchCollapser == null)
+ throw new NullPointerException("Collapser must not be null");
+
+ final E collapsedNode = nodeCollapser.apply(data);
+
+ if(left != null) {
+ final E collapsedLeftBranch = left.collapse(nodeCollapser, branchCollapser);
+
+ if(right != null) {
+ final E collapsedRightBranch = right.collapse(nodeCollapser, branchCollapser);
+
+ final E collapsedBranches = branchCollapser.apply(collapsedLeftBranch,
+ collapsedRightBranch);
+
+ return branchCollapser.apply(collapsedNode, collapsedBranches);
+ }
+
+ return branchCollapser.apply(collapsedNode, collapsedLeftBranch);
+ }
+
+ if(right != null) {
+ final E collapsedRightBranch = right.collapse(nodeCollapser, branchCollapser);
+
+ return branchCollapser.apply(collapsedNode, collapsedRightBranch);
+ }
+
+ return collapsedNode;
+ }
+
+ @Override
+ public boolean contains(final T element, final Comparator<T> comparator) {
+ if(comparator == null) throw new NullPointerException("Comparator must not be null");
+
+ return directedWalk(currentElement -> {
+ switch(comparator.compare(element, currentElement)) {
+ case -1:
+ return LEFT;
+ case 0:
+ return isDeleted ? FAILURE : SUCCESS;
+ case 1:
+ return RIGHT;
+ default:
+ return FAILURE;
+ }
+ });
+ }
+
+ @Override
+ public void delete(final T element, final Comparator<T> comparator) {
+ if(comparator == null) throw new NullPointerException("Comparator must not be null");
+
+ directedWalk(currentElement -> {
+ switch(comparator.compare(data, element)) {
+ case -1:
+ return left == null ? FAILURE : LEFT;
+ case 0:
+ isDeleted = true;
+ return FAILURE;
+ case 1:
+ return right == null ? FAILURE : RIGHT;
+ default:
+ return FAILURE;
+ }
+ });
+ }
+
+ @Override
+ public boolean directedWalk(final DirectedWalkFunction<T> treeWalker) {
+ if(treeWalker == null) throw new NullPointerException("Walker must not be null");
+
+ switch(treeWalker.walk(data)) {
+ case SUCCESS:
+ return true;
+ case LEFT:
+ return left.directedWalk(treeWalker);
+ case RIGHT:
+ return right.directedWalk(treeWalker);
+ case FAILURE:
+ default:
+ return false;
+ }
+ }
+
+ @Override
+ public boolean forEach(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ if(linearizationMethod == null) {
+ throw new NullPointerException("Linearization method must not be null");
+ } else if(traversalPredicate == null) {
+ throw new NullPointerException("Predicate must not be null");
+ }
+
+ switch(linearizationMethod) {
+ case PREORDER:
+ return preorderTraverse(linearizationMethod, traversalPredicate);
+ case INORDER:
+ return inorderTraverse(linearizationMethod, traversalPredicate);
+ case POSTORDER:
+ return postorderTraverse(linearizationMethod, traversalPredicate);
+ default:
+ String msg = String.format("Passed an incorrect TreeLinearizationMethod %s. WAT",
+ linearizationMethod);
+
+ throw new IllegalArgumentException(msg);
+ }
+ }
+
+ /* Do an in-order traversal. */
+ private boolean inorderTraverse(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ if(!traverseLeftBranch(linearizationMethod, traversalPredicate)) return false;
+
+ if(!traverseElement(traversalPredicate)) return false;
+
+ if(!traverseRightBranch(linearizationMethod, traversalPredicate)) return false;
+
+ return true;
+ }
+
+ /* Do a post-order traversal. */
+ private boolean postorderTraverse(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ if(!traverseLeftBranch(linearizationMethod, traversalPredicate)) return false;
+
+ if(!traverseRightBranch(linearizationMethod, traversalPredicate)) return false;
+
+ if(!traverseElement(traversalPredicate)) return false;
+
+ return true;
+
+ }
+
+ /* Do a pre-order traversal. */
+ private boolean preorderTraverse(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ if(!traverseElement(traversalPredicate)) return false;
+
+ if(!traverseLeftBranch(linearizationMethod, traversalPredicate)) return false;
+
+ if(!traverseRightBranch(linearizationMethod, traversalPredicate)) return false;
+
+ return true;
+ }
+
+ /* Traverse an element. */
+ private boolean traverseElement(final Predicate<T> traversalPredicate) {
+ boolean nodeSuccesfullyTraversed;
+
+ if(isDeleted) {
+ nodeSuccesfullyTraversed = true;
+ } else {
+ nodeSuccesfullyTraversed = traversalPredicate.test(data);
+ }
+
+ return nodeSuccesfullyTraversed;
+ }
+
+ /* Traverse the left branch of a tree. */
+ private boolean traverseLeftBranch(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ boolean leftSuccesfullyTraversed;
+
+ if(left == null) {
+ leftSuccesfullyTraversed = true;
+ } else {
+ leftSuccesfullyTraversed = left.forEach(linearizationMethod, traversalPredicate);
+ }
+
+ return leftSuccesfullyTraversed;
+ }
+
+ /* Traverse the right branch of a tree. */
+ private boolean traverseRightBranch(final TreeLinearizationMethod linearizationMethod,
+ final Predicate<T> traversalPredicate) {
+ boolean rightSuccesfullyTraversed;
+
+ if(right == null) {
+ rightSuccesfullyTraversed = true;
+ } else {
+ rightSuccesfullyTraversed = right.forEach(linearizationMethod, traversalPredicate);
+ }
+
+ return rightSuccesfullyTraversed;
+ }
+
+ @Override
+ public String toString() {
+ return String.format("BinarySearchTreeNode [left='%s', right='%s']", left, right);
+ }
+
+ @Override
+ public int hashCode() {
+ final int prime = 31;
+ int result = super.hashCode();
+ result = prime * result + (left == null ? 0 : left.hashCode());
+ result = prime * result + (right == null ? 0 : right.hashCode());
+ return result;
+ }
+
+ @Override
+ public boolean equals(final Object obj) {
+ if(this == obj) return true;
+ if(!super.equals(obj)) return false;
+ if(!(obj instanceof BinarySearchTreeNode<?>)) return false;
+
+ final BinarySearchTreeNode<?> other = (BinarySearchTreeNode<?>) obj;
+
+ if(left == null) {
+ if(other.left != null) return false;
+ } else if(!left.equals(other.left)) return false;
+
+ if(right == null) {
+ if(other.right != null) return false;
+ } else if(!right.equals(other.right)) return false;
+
+ return true;
+ }
+}
diff --git a/src/main/java/bjc/funcdata/bst/DirectedWalkFunction.java b/src/main/java/bjc/funcdata/bst/DirectedWalkFunction.java
new file mode 100644
index 0000000..ac2b918
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/DirectedWalkFunction.java
@@ -0,0 +1,44 @@
+package bjc.funcdata.bst;
+
+/**
+ * Represents a function for doing a directed walk of a binary tree.
+ *
+ * @author ben
+ *
+ * @param <T>
+ * The type of element stored in the walked tree
+ */
+@FunctionalInterface
+public interface DirectedWalkFunction<T> {
+ /**
+ * Represents the results used to direct a walk in a binary tree.
+ *
+ * @author ben
+ */
+ public enum DirectedWalkResult {
+ /** Specifies that the function has failed. */
+ FAILURE,
+ /**
+ * Specifies that the function wants to move left in the tree
+ * next.
+ */
+ LEFT,
+ /**
+ * Specifies that the function wants to move right in the tree
+ * next.
+ */
+ RIGHT,
+ /** Specifies that the function has succesfully completed */
+ SUCCESS
+ }
+
+ /**
+ * Perform a directed walk on a node of a tree.
+ *
+ * @param element
+ * The data stored in the node currently being visited.
+ *
+ * @return The way the function wants the walk to go next.
+ */
+ public DirectedWalkResult walk(T element);
+}
diff --git a/src/main/java/bjc/funcdata/bst/ITreePart.java b/src/main/java/bjc/funcdata/bst/ITreePart.java
new file mode 100644
index 0000000..903965f
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/ITreePart.java
@@ -0,0 +1,104 @@
+package bjc.funcdata.bst;
+
+import java.util.Comparator;
+import java.util.function.BiFunction;
+import java.util.function.Function;
+import java.util.function.Predicate;
+
+/**
+ * A interface for the fundamental things that want to be part of a tree.
+ *
+ * @author ben
+ *
+ * @param <T>
+ * The data contained in this part of the tree.
+ */
+public interface ITreePart<T> {
+ /**
+ * Add a element below this tree part somewhere.
+ *
+ * @param element
+ * The element to add below this tree part
+ *
+ * @param comparator
+ * The thing to use for comparing values to find where to insert
+ * the tree part.
+ */
+ public void add(T element, Comparator<T> comparator);
+
+ /**
+ * Collapses this tree part into a single value.
+ *
+ * Does not change the underlying tree.
+ *
+ * @param <E>
+ * The type of the final collapsed value
+ *
+ * @param nodeCollapser
+ * The function to use to transform data into mapped form.
+ *
+ * @param branchCollapser
+ * The function to use to collapse data in mapped form into a
+ * single value.
+ *
+ * @return A single value from collapsing the tree.
+ */
+ public <E> E collapse(Function<T, E> nodeCollapser, BiFunction<E, E, E> branchCollapser);
+
+ /**
+ * Check if this tre part or below it contains the specified data item.
+ *
+ * @param element
+ * The data item to look for.
+ *
+ * @param comparator
+ * The comparator to use to search for the data item.
+ *
+ * @return Whether or not the given item is contained in this tree part
+ * or its children.
+ */
+ public boolean contains(T element, Comparator<T> comparator);
+
+ /**
+ * Get the data associated with this tree part.
+ *
+ * @return The data associated with this tree part.
+ */
+ public T data();
+
+ /**
+ * Remove the given node from this tree part and any of its children.
+ *
+ * @param element
+ * The data item to remove.
+ *
+ * @param comparator
+ * The comparator to use to search for the data item.
+ */
+ public void delete(T element, Comparator<T> comparator);
+
+ /**
+ * Execute a directed walk through the tree.
+ *
+ * @param walker
+ * The function to use to direct the walk through the tree.
+ *
+ * @return Whether the directed walk finished successfully.
+ */
+ public boolean directedWalk(DirectedWalkFunction<T> walker);
+
+ /**
+ * Execute a provided function for each element of tree it succesfully
+ * completes for.
+ *
+ * @param linearizationMethod
+ * The way to linearize the tree for executing.
+ *
+ * @param predicate
+ * The predicate to apply to each element, where it returning
+ * false terminates traversal early.
+ *
+ * @return Whether the traversal finished succesfully.
+ */
+ public boolean forEach(TreeLinearizationMethod linearizationMethod, Predicate<T> predicate);
+}
diff --git a/src/main/java/bjc/funcdata/bst/TreeLinearizationMethod.java b/src/main/java/bjc/funcdata/bst/TreeLinearizationMethod.java
new file mode 100644
index 0000000..35b116b
--- /dev/null
+++ b/src/main/java/bjc/funcdata/bst/TreeLinearizationMethod.java
@@ -0,0 +1,24 @@
+package bjc.funcdata.bst;
+
+/**
+ * Represents the ways to linearize a tree for traversal.
+ *
+ * @author ben
+ */
+public enum TreeLinearizationMethod {
+ /**
+ * Visit the left side of this tree part, the tree part itself, and then
+ * the right part.
+ */
+ INORDER,
+ /**
+ * Visit the left side of this tree part, the right side, and then the
+ * tree part itself.
+ */
+ POSTORDER,
+ /**
+ * Visit the tree part itself, then the left side of tthis tree part and
+ * then the right part.
+ */
+ PREORDER
+}