一个Scala解决方案，改编自Vasya Novikov的答案，专门用于二叉树:

/** An immutable Binary Tree. */
case class BTree[T](value: T, left: Option[BTree[T]], right: Option[BTree[T]]) {

  /* Adapted from: http://stackoverflow.com/a/8948691/643684 */
  def pretty: String = {
    def work(tree: BTree[T], prefix: String, isTail: Boolean): String = {
      val (line, bar) = if (isTail) ("└── ", " ") else ("├── ", "│")

      val curr = s"${prefix}${line}${tree.value}"

      val rights = tree.right match {
        case None    => s"${prefix}${bar}   ├── ∅"
        case Some(r) => work(r, s"${prefix}${bar}   ", false)
      }

      val lefts = tree.left match {
        case None    => s"${prefix}${bar}   └── ∅"
        case Some(l) => work(l, s"${prefix}${bar}   ", true)
      }

      s"${curr}\n${rights}\n${lefts}"

    }

    work(this, "", true)
  }
}

按行打印[大]树。

输出的例子:

z
├── c
│   ├── a
│   └── b
├── d
├── e
│   └── asdf
└── f

代码:

public class TreeNode {

    final String name;
    final List<TreeNode> children;

    public TreeNode(String name, List<TreeNode> children) {
        this.name = name;
        this.children = children;
    }

    public String toString() {
        StringBuilder buffer = new StringBuilder(50);
        print(buffer, "", "");
        return buffer.toString();
    }

    private void print(StringBuilder buffer, String prefix, String childrenPrefix) {
        buffer.append(prefix);
        buffer.append(name);
        buffer.append('\n');
        for (Iterator<TreeNode> it = children.iterator(); it.hasNext();) {
            TreeNode next = it.next();
            if (it.hasNext()) {
                next.print(buffer, childrenPrefix + "├── ", childrenPrefix + "│   ");
            } else {
                next.print(buffer, childrenPrefix + "└── ", childrenPrefix + "    ");
            }
        }
    }
}

附注:这个答案并不完全关注“二叉”树——相反，它打印了各种类型的树。解决方案的灵感来自linux中的“树”命令。

与垂直表示相比，水平表示有点复杂。垂直打印只是简单的RNL(右->节点->左或镜像的顺序)遍历，以便先打印右子树，然后打印左子树。

def printFullTree(root, delim=' ', idnt=[], left=None):
    if root:
        idnt.append(delim)
        x, y = setDelims(left)
        printFullTree(root.right, x, idnt, False)
        indent2(root.val, idnt)
        printFullTree(root.left, y, idnt, True)
        idnt.pop()

def setDelims(left):
    x = ' '; y='|'
    return (y,x) if (left == True) else (x,y) if (left == False) else (x,x)

def indent2(x, idnt, width=6):
    for delim in idnt:
        print(delim + ' '*(width-1), end='')
    print('|->', x)

output:
                        |-> 15
                  |-> 14
                  |     |-> 13
            |-> 12
            |     |     |-> 11
            |     |-> 10
            |           |-> 9
      |-> 8
            |           |-> 7
            |     |-> 6
            |     |     |-> 4
            |-> 3
                  |     |-> 2
                  |-> 1
                        |-> 0

在水平表示中，显示由TreeMap的HashMap或HashMap<Integer, TreeMap<Integer, Object>> xy构建;其中HashMap包含节点的y轴/level_no作为Key, TreeMap作为value。Treemap内部保存同一级别的所有节点，按它们的x轴值排序，作为键，从最左端开始-ve，根=0，最右端=+ve。

如果使用自平衡树/Treap，则使用HashMap使算法在每个级别的O(1)查找中工作，并在O(logn)中使用TreeMap排序。

不过，在这样做的时候，不要忘记为空子存储占位符，例如' '/空格，这样树看起来就像预期的那样。

现在唯一剩下的就是计算水平节点的距离，这可以用一些数学计算来完成，

计算树的宽度和高度。 一旦完成，在显示节点时，根据计算的宽度，高度和倾斜信息(如果有的话)，以最佳距离呈现它们。

试试这个:

public static void print(int[] minHeap, int minWidth) {

    int size = minHeap.length;

    int level = log2(size);
    int maxLength = (int) Math.pow(2, level) * minWidth;
    int currentLevel = -1 ;
    int width = maxLength;

    for (int i = 0; i < size; i++) {
        if (log2(i + 1) > currentLevel) {
            currentLevel++;
            System.out.println();
            width = maxLength / (int) Math.pow(2, currentLevel);
        }
        System.out.print(StringUtils.center(String.valueOf(minHeap[i]), width));
    }
    System.out.println();
}

private static int log2(int n) {
    return (int) (Math.log(n) / Math.log(2));
}

这段代码片段的思想是用maxLength(即底线的长度)除以每一行的元素数量来得到块宽度。然后把元素放在每个块的中间。

参数minWidth表示底部行中块的长度。

用一张图片来说明想法并展示结果。

这是一个非常多功能的树打印机。不是最好看的，但能处理很多案子。如果你能弄清楚，可以随意添加斜杠。

package com.tomac120.NodePrinter;

import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;

/**
 * Created by elijah on 6/28/16.
 */
public class NodePrinter{
    final private List<List<PrintableNodePosition>> nodesByRow;
    int maxColumnsLeft = 0;
    int maxColumnsRight = 0;
    int maxTitleLength = 0;
    String sep = " ";
    int depth = 0;

    public NodePrinter(PrintableNode rootNode, int chars_per_node){
        this.setDepth(rootNode,1);
        nodesByRow = new ArrayList<>(depth);
        this.addNode(rootNode._getPrintableNodeInfo(),0,0);
        for (int i = 0;i<chars_per_node;i++){
            //sep += " ";
        }
    }

    private void setDepth(PrintableNode info, int depth){
        if (depth > this.depth){
            this.depth = depth;
        }
        if (info._getLeftChild() != null){
            this.setDepth(info._getLeftChild(),depth+1);
        }
        if (info._getRightChild() != null){
            this.setDepth(info._getRightChild(),depth+1);
        }
    }

    private void addNode(PrintableNodeInfo node, int level, int position){
        if (position < 0 && -position > maxColumnsLeft){
            maxColumnsLeft = -position;
        }
        if (position > 0 && position > maxColumnsRight){
            maxColumnsRight = position;
        }
        if (node.getTitleLength() > maxTitleLength){
           maxTitleLength = node.getTitleLength();
        }
        List<PrintableNodePosition> row = this.getRow(level);
        row.add(new PrintableNodePosition(node, level, position));
        level++;

        int depthToUse = Math.min(depth,6);
        int levelToUse = Math.min(level,6);
        int offset = depthToUse - levelToUse-1;
        offset = (int)(Math.pow(offset,Math.log(depthToUse)*1.4));
        offset = Math.max(offset,3);


        PrintableNodeInfo leftChild = node.getLeftChildInfo();
        PrintableNodeInfo rightChild = node.getRightChildInfo();
        if (leftChild != null){
            this.addNode(leftChild,level,position-offset);
        }
        if (rightChild != null){
            this.addNode(rightChild,level,position+offset);
        }
    }

    private List<PrintableNodePosition> getRow(int row){
        if (row > nodesByRow.size() - 1){
            nodesByRow.add(new LinkedList<>());
        }
        return nodesByRow.get(row);
    }

    public void print(){
        int max_chars = this.maxColumnsLeft+maxColumnsRight+1;
        int level = 0;
        String node_format = "%-"+this.maxTitleLength+"s";
        for (List<PrintableNodePosition> pos_arr : this.nodesByRow){
            String[] chars = this.getCharactersArray(pos_arr,max_chars);
            String line = "";
            int empty_chars = 0;
            for (int i=0;i<chars.length+1;i++){
                String value_i = i < chars.length ? chars[i]:null;
                if (chars.length + 1 == i || value_i != null){
                    if (empty_chars > 0) {
                        System.out.print(String.format("%-" + empty_chars + "s", " "));
                    }
                    if (value_i != null){
                        System.out.print(String.format(node_format,value_i));
                        empty_chars = -1;
                    } else{
                        empty_chars = 0;
                    }
                } else {
                    empty_chars++;
                }
            }
            System.out.print("\n");

            int depthToUse = Math.min(6,depth);
            int line_offset = depthToUse - level;
            line_offset *= 0.5;
            line_offset = Math.max(0,line_offset);

            for (int i=0;i<line_offset;i++){
                System.out.println("");
            }


            level++;
        }
    }

    private String[] getCharactersArray(List<PrintableNodePosition> nodes, int max_chars){
        String[] positions = new String[max_chars+1];
        for (PrintableNodePosition a : nodes){
            int pos_i = maxColumnsLeft + a.column;
            String title_i = a.nodeInfo.getTitleFormatted(this.maxTitleLength);
            positions[pos_i] = title_i;
        }
        return positions;
    }
}

NodeInfo类

package com.tomac120.NodePrinter;

/**
 * Created by elijah on 6/28/16.
 */
public class PrintableNodeInfo {
    public enum CLI_PRINT_COLOR {
        RESET("\u001B[0m"),
        BLACK("\u001B[30m"),
        RED("\u001B[31m"),
        GREEN("\u001B[32m"),
        YELLOW("\u001B[33m"),
        BLUE("\u001B[34m"),
        PURPLE("\u001B[35m"),
        CYAN("\u001B[36m"),
        WHITE("\u001B[37m");

        final String value;
        CLI_PRINT_COLOR(String value){
            this.value = value;
        }

        @Override
        public String toString() {
            return value;
        }
    }
    private final String title;
    private final PrintableNode leftChild;
    private final PrintableNode rightChild;
    private final CLI_PRINT_COLOR textColor;

    public PrintableNodeInfo(String title, PrintableNode leftChild, PrintableNode rightChild){
        this(title,leftChild,rightChild,CLI_PRINT_COLOR.BLACK);
    }

    public PrintableNodeInfo(String title, PrintableNode leftChild, PrintableNode righthild, CLI_PRINT_COLOR textColor){
        this.title = title;
        this.leftChild = leftChild;
        this.rightChild = righthild;
        this.textColor = textColor;
    }

    public String getTitle(){
        return title;
    }

    public CLI_PRINT_COLOR getTextColor(){
        return textColor;
    }

    public String getTitleFormatted(int max_chars){
        return this.textColor+title+CLI_PRINT_COLOR.RESET;
        /*
        String title = this.title.length() > max_chars ? this.title.substring(0,max_chars+1):this.title;
        boolean left = true;
        while(title.length() < max_chars){
            if (left){
                title = " "+title;
            } else {
                title = title + " ";
            }
        }
        return this.textColor+title+CLI_PRINT_COLOR.RESET;*/
    }

    public int getTitleLength(){
        return title.length();
    }

    public PrintableNodeInfo getLeftChildInfo(){
        if (leftChild == null){
            return null;
        }
        return leftChild._getPrintableNodeInfo();
    }

    public PrintableNodeInfo getRightChildInfo(){
        if (rightChild == null){
            return null;
        }
        return rightChild._getPrintableNodeInfo();
    }
}

NodePosition类

package com.tomac120.NodePrinter;

/**
 * Created by elijah on 6/28/16.
 */
public class PrintableNodePosition implements Comparable<PrintableNodePosition> {
    public final int row;
    public final int column;
    public final PrintableNodeInfo nodeInfo;
    public PrintableNodePosition(PrintableNodeInfo nodeInfo, int row, int column){
        this.row = row;
        this.column = column;
        this.nodeInfo = nodeInfo;
    }

    @Override
    public int compareTo(PrintableNodePosition o) {
        return Integer.compare(this.column,o.column);
    }
}

最后是节点接口

package com.tomac120.NodePrinter;

/**
 * Created by elijah on 6/28/16.
 */
public interface PrintableNode {
    PrintableNodeInfo _getPrintableNodeInfo();
    PrintableNode _getLeftChild();
    PrintableNode _getRightChild();
}

我已经创建了简单的二叉树打印机。您可以随心所欲地使用和修改它，但无论如何它都没有优化。我认为这里有很多东西可以改进;)

import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

public class BTreePrinterTest {

    private static Node<Integer> test1() {
        Node<Integer> root = new Node<Integer>(2);
        Node<Integer> n11 = new Node<Integer>(7);
        Node<Integer> n12 = new Node<Integer>(5);
        Node<Integer> n21 = new Node<Integer>(2);
        Node<Integer> n22 = new Node<Integer>(6);
        Node<Integer> n23 = new Node<Integer>(3);
        Node<Integer> n24 = new Node<Integer>(6);
        Node<Integer> n31 = new Node<Integer>(5);
        Node<Integer> n32 = new Node<Integer>(8);
        Node<Integer> n33 = new Node<Integer>(4);
        Node<Integer> n34 = new Node<Integer>(5);
        Node<Integer> n35 = new Node<Integer>(8);
        Node<Integer> n36 = new Node<Integer>(4);
        Node<Integer> n37 = new Node<Integer>(5);
        Node<Integer> n38 = new Node<Integer>(8);

        root.left = n11;
        root.right = n12;

        n11.left = n21;
        n11.right = n22;
        n12.left = n23;
        n12.right = n24;

        n21.left = n31;
        n21.right = n32;
        n22.left = n33;
        n22.right = n34;
        n23.left = n35;
        n23.right = n36;
        n24.left = n37;
        n24.right = n38;

        return root;
    }

    private static Node<Integer> test2() {
        Node<Integer> root = new Node<Integer>(2);
        Node<Integer> n11 = new Node<Integer>(7);
        Node<Integer> n12 = new Node<Integer>(5);
        Node<Integer> n21 = new Node<Integer>(2);
        Node<Integer> n22 = new Node<Integer>(6);
        Node<Integer> n23 = new Node<Integer>(9);
        Node<Integer> n31 = new Node<Integer>(5);
        Node<Integer> n32 = new Node<Integer>(8);
        Node<Integer> n33 = new Node<Integer>(4);

        root.left = n11;
        root.right = n12;

        n11.left = n21;
        n11.right = n22;

        n12.right = n23;
        n22.left = n31;
        n22.right = n32;

        n23.left = n33;

        return root;
    }

    public static void main(String[] args) {

        BTreePrinter.printNode(test1());
        BTreePrinter.printNode(test2());

    }
}

class Node<T extends Comparable<?>> {
    Node<T> left, right;
    T data;

    public Node(T data) {
        this.data = data;
    }
}

class BTreePrinter {

    public static <T extends Comparable<?>> void printNode(Node<T> root) {
        int maxLevel = BTreePrinter.maxLevel(root);

        printNodeInternal(Collections.singletonList(root), 1, maxLevel);
    }

    private static <T extends Comparable<?>> void printNodeInternal(List<Node<T>> nodes, int level, int maxLevel) {
        if (nodes.isEmpty() || BTreePrinter.isAllElementsNull(nodes))
            return;

        int floor = maxLevel - level;
        int endgeLines = (int) Math.pow(2, (Math.max(floor - 1, 0)));
        int firstSpaces = (int) Math.pow(2, (floor)) - 1;
        int betweenSpaces = (int) Math.pow(2, (floor + 1)) - 1;

        BTreePrinter.printWhitespaces(firstSpaces);

        List<Node<T>> newNodes = new ArrayList<Node<T>>();
        for (Node<T> node : nodes) {
            if (node != null) {
                System.out.print(node.data);
                newNodes.add(node.left);
                newNodes.add(node.right);
            } else {
                newNodes.add(null);
                newNodes.add(null);
                System.out.print(" ");
            }

            BTreePrinter.printWhitespaces(betweenSpaces);
        }
        System.out.println("");

        for (int i = 1; i <= endgeLines; i++) {
            for (int j = 0; j < nodes.size(); j++) {
                BTreePrinter.printWhitespaces(firstSpaces - i);
                if (nodes.get(j) == null) {
                    BTreePrinter.printWhitespaces(endgeLines + endgeLines + i + 1);
                    continue;
                }

                if (nodes.get(j).left != null)
                    System.out.print("/");
                else
                    BTreePrinter.printWhitespaces(1);

                BTreePrinter.printWhitespaces(i + i - 1);

                if (nodes.get(j).right != null)
                    System.out.print("\\");
                else
                    BTreePrinter.printWhitespaces(1);

                BTreePrinter.printWhitespaces(endgeLines + endgeLines - i);
            }

            System.out.println("");
        }

        printNodeInternal(newNodes, level + 1, maxLevel);
    }

    private static void printWhitespaces(int count) {
        for (int i = 0; i < count; i++)
            System.out.print(" ");
    }

    private static <T extends Comparable<?>> int maxLevel(Node<T> node) {
        if (node == null)
            return 0;

        return Math.max(BTreePrinter.maxLevel(node.left), BTreePrinter.maxLevel(node.right)) + 1;
    }

    private static <T> boolean isAllElementsNull(List<T> list) {
        for (Object object : list) {
            if (object != null)
                return false;
        }

        return true;
    }

}

输出1:

         2               
        / \       
       /   \      
      /     \     
     /       \    
     7       5       
    / \     / \   
   /   \   /   \  
   2   6   3   6   
  / \ / \ / \ / \ 
  5 8 4 5 8 4 5 8 

输出2:

       2               
      / \       
     /   \      
    /     \     
   /       \    
   7       5       
  / \       \   
 /   \       \  
 2   6       9   
    / \     /   
    5 8     4