学过编译原理的同学都知道有最开始的一步就是词法分析.
下面就是一次入门级的实践.(看之前需要了解一下什么是二叉树)

主要有三个类

  • Node.java 二叉树的java model
  • NodeType.java 节点的枚举类型,四则运算中有数字和运算符两种
  • Parser.java 关键类,paser的实现
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public class Node {

Node left = null;
Node right = null;
String value;
NodeType nodeType;
// 是否在括号中
Boolean isBlock;

public Node(String value, NodeType nodeType){
super();
this.value = value;
this.nodeType = nodeType;
this.isBlock = false;
}

public Node(String value, NodeType nodeType, Boolean isBlock){
super();
this.value = value;
this.nodeType = nodeType;
this.isBlock = isBlock;
}

public Node(){
super();
}

@Override
public String toString() {
return value + ":" + nodeType;
}

public void setIsBlock(Boolean isBlock) {
this.isBlock = isBlock;
}

public boolean isHigerThanOther(Node other) {
if (other.isBlock) {
return false;
}
if (("*".equals(value) || "/".equals(value)) && ("+".equals(other.value) || "-".equals(other.value))) {
return true;
}
return false;
}

}
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public enum NodeType {
num, op;
}
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public class Parser {

private char[] ca;
private int total;
private int point = 0;

public Parser(String s){
s = s.replaceAll("\\s+", "");
ca = s.toCharArray();
total = ca.length;
}

public Node parse() {
Node root = getNode();
while (true) {
Node node = getNode();
if (null == node) {
break;
}
if (!NodeType.op.equals(node.nodeType)) {
throw new RuntimeException("格式错误!");
}
Node nextNode = getNode();
if (nextNode == null) {
throw new RuntimeException("操作符后面不能为空!");
}
node.right = nextNode;
if (node.isHigerThanOther(root)) {
node.left = root.right;
root.right = node;
} else {
node.left = root;
root = node;
}
}

return root;
}

/**
* 获取单个node
*
* @return
*/
Node getNode() {
String v = "";
while (true) {
if (point == total) {
break;
}
char c = ca[point];
point++;
if (c == '(') {
String sub = subStringInBracket();
Parser parser = new Parser(sub);
Node subNode = parser.parse();
subNode.setIsBlock(true);
return subNode;
}
if (isOp(c)) {
if ("".equals(v)) {
return new Node(String.valueOf(c), NodeType.op);
} else {
point--;
return new Node(v, NodeType.num);
}
}
v += c;
}
return "".equals(v) ? null : new Node(v, NodeType.num);
}

public boolean isOp(char c) {
return c == '+' || c == '-' || c == '*' || c == '/';
}

/**
* 获取括号中的字符串
*
* @return
*/
public String subStringInBracket() {
StringBuilder sb = new StringBuilder();
if (ca[point - 1] != '(') {
throw new RuntimeException("4");
}
int bracketFlag = 0;
for (;;) {
char c = ca[point];
if (c == ')' && bracketFlag == 0) {
point++;
return sb.toString();
}
if (c == '(') {
bracketFlag++;
}
if (c == ')' && bracketFlag > 0) {
bracketFlag--;
}
sb.append(c);
point++;
if (point == total) {
throw new RuntimeException("找不到')',格式错误");
}
}
}

/**
* 递归计算node的值
*
* @param node
* @return
*/
public Integer getResult(Node node) {
Integer left = null;
Integer right = null;
if (NodeType.num.equals(node.left.nodeType)) {
left = Integer.valueOf(node.left.value);
} else {
left = getResult(node.left);
}
if (NodeType.num.equals(node.right.nodeType)) {
right = Integer.valueOf(node.right.value);
} else {
right = getResult(node.right);
}

String op = node.value;

if ("+".equals(op)) {
return left + right;
}
if ("-".equals(op)) {
return left - right;
}
if ("*".equals(op)) {
return left * right;
}
if ("/".equals(op)) {
return left / right;
}
throw new RuntimeException("3");
}
}

测试

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public class ParserTest extends TestCase {

public void test_getResult() {

Parser parser = new Parser("1+2+3");
assertEquals(6, parser.getResult(parser.parse()).intValue());

parser = new Parser("1*2*3");
assertEquals(6, parser.getResult(parser.parse()).intValue());

parser = new Parser("4/2/1");
assertEquals(2, parser.getResult(parser.parse()).intValue());

parser = new Parser("1+2*3-1+100/2");
assertEquals(56, parser.getResult(parser.parse()).intValue());

parser = new Parser("(1+2)*3/9");
assertEquals(1, parser.getResult(parser.parse()).intValue());

parser = new Parser("(1+2)*(2+3)/(5-2)");
assertEquals(5, parser.getResult(parser.parse()).intValue());

parser = new Parser("200*73/(543-178)");
assertEquals(40, parser.getResult(parser.parse()).intValue());

parser = new Parser("200*73/(543-178)-(2+2)/2*(((4-1)*2+(3-1))+1)");
assertEquals(22, parser.getResult(parser.parse()).intValue());

parser = new Parser("(2+2)/2*(((4-1)*2+(3-1))+1)");
assertEquals(18, parser.getResult(parser.parse()).intValue());

parser = new Parser("200*73/(543-178)-(2+2)/2*(((4-1)*2+(3-1))+1)-(1+2)*(2+3)/(5-2)");
assertEquals(17, parser.getResult(parser.parse()).intValue());

parser = new Parser("(((((1+2)*(2+3)/(5-2)+1)*(1+1))/4-1)*3+4)*10");
assertEquals(100, parser.getResult(parser.parse()).intValue());
}

}