我试图写一个Java例程来计算数学表达式从字符串值,如:

"5 + 3" "10-4 * 5" "(1 + 10) * 3"

我想避免很多如果-then-else语句。 我该怎么做呢?


当前回答

我已经使用迭代解析和分流码算法,我真的很喜欢开发表达式求值器,你可以在这里找到所有的代码

https://github.com/nagaraj200788/JavaExpressionEvaluator

有73个测试用例,甚至工作于大整数,大小数

支持所有关系,算术表达式和两者的组合。 甚至支持三元运算符。

增加了增强,以支持有符号的数字,如-100+89,这是有趣的,详细信息请检查TokenReader.isUnaryOperator()方法,我已经更新了上面链接中的代码

其他回答

你可以看看Symja框架:

ExprEvaluator util = new ExprEvaluator(); 
IExpr result = util.evaluate("10-40");
System.out.println(result.toString()); // -> "-30" 

请注意,可以计算更复杂的表达式:

// D(...) gives the derivative of the function Sin(x)*Cos(x)
IAST function = D(Times(Sin(x), Cos(x)), x);
IExpr result = util.evaluate(function);
// print: Cos(x)^2-Sin(x)^2

这实际上是对@Boann给出的答案的补充。它有一个轻微的错误,导致“-2 ^ 2”给出一个错误的结果-4.0。这里的问题是求幂的点。只需将取幂运算移到parseTerm()的块中,就可以了。看看下面,这是@Boann的回答略有修改。修改意见见评论。

public static double eval(final String str) {
    return new Object() {
        int pos = -1, ch;

        void nextChar() {
            ch = (++pos < str.length()) ? str.charAt(pos) : -1;
        }

        boolean eat(int charToEat) {
            while (ch == ' ') nextChar();
            if (ch == charToEat) {
                nextChar();
                return true;
            }
            return false;
        }

        double parse() {
            nextChar();
            double x = parseExpression();
            if (pos < str.length()) throw new RuntimeException("Unexpected: " + (char)ch);
            return x;
        }

        // Grammar:
        // expression = term | expression `+` term | expression `-` term
        // term = factor | term `*` factor | term `/` factor
        // factor = `+` factor | `-` factor | `(` expression `)`
        //        | number | functionName factor | factor `^` factor

        double parseExpression() {
            double x = parseTerm();
            for (;;) {
                if      (eat('+')) x += parseTerm(); // addition
                else if (eat('-')) x -= parseTerm(); // subtraction
                else return x;
            }
        }

        double parseTerm() {
            double x = parseFactor();
            for (;;) {
                if      (eat('*')) x *= parseFactor(); // multiplication
                else if (eat('/')) x /= parseFactor(); // division
                else if (eat('^')) x = Math.pow(x, parseFactor()); //exponentiation -> Moved in to here. So the problem is fixed
                else return x;
            }
        }

        double parseFactor() {
            if (eat('+')) return parseFactor(); // unary plus
            if (eat('-')) return -parseFactor(); // unary minus

            double x;
            int startPos = this.pos;
            if (eat('(')) { // parentheses
                x = parseExpression();
                eat(')');
            } else if ((ch >= '0' && ch <= '9') || ch == '.') { // numbers
                while ((ch >= '0' && ch <= '9') || ch == '.') nextChar();
                x = Double.parseDouble(str.substring(startPos, this.pos));
            } else if (ch >= 'a' && ch <= 'z') { // functions
                while (ch >= 'a' && ch <= 'z') nextChar();
                String func = str.substring(startPos, this.pos);
                x = parseFactor();
                if (func.equals("sqrt")) x = Math.sqrt(x);
                else if (func.equals("sin")) x = Math.sin(Math.toRadians(x));
                else if (func.equals("cos")) x = Math.cos(Math.toRadians(x));
                else if (func.equals("tan")) x = Math.tan(Math.toRadians(x));
                else throw new RuntimeException("Unknown function: " + func);
            } else {
                throw new RuntimeException("Unexpected: " + (char)ch);
            }

            //if (eat('^')) x = Math.pow(x, parseFactor()); // exponentiation -> This is causing a bit of problem

            return x;
        }
    }.parse();
}
package ExpressionCalculator.expressioncalculator;

import java.text.DecimalFormat;
import java.util.Scanner;

public class ExpressionCalculator {

private static String addSpaces(String exp){

    //Add space padding to operands.
    //https://regex101.com/r/sJ9gM7/73
    exp = exp.replaceAll("(?<=[0-9()])[\\/]", " / ");
    exp = exp.replaceAll("(?<=[0-9()])[\\^]", " ^ ");
    exp = exp.replaceAll("(?<=[0-9()])[\\*]", " * ");
    exp = exp.replaceAll("(?<=[0-9()])[+]", " + "); 
    exp = exp.replaceAll("(?<=[0-9()])[-]", " - ");

    //Keep replacing double spaces with single spaces until your string is properly formatted
    /*while(exp.indexOf("  ") != -1){
        exp = exp.replace("  ", " ");
     }*/
    exp = exp.replaceAll(" {2,}", " ");

       return exp;
}

public static Double evaluate(String expr){

    DecimalFormat df = new DecimalFormat("#.####");

    //Format the expression properly before performing operations
    String expression = addSpaces(expr);

    try {
        //We will evaluate using rule BDMAS, i.e. brackets, division, power, multiplication, addition and
        //subtraction will be processed in following order
        int indexClose = expression.indexOf(")");
        int indexOpen = -1;
        if (indexClose != -1) {
            String substring = expression.substring(0, indexClose);
            indexOpen = substring.lastIndexOf("(");
            substring = substring.substring(indexOpen + 1).trim();
            if(indexOpen != -1 && indexClose != -1) {
                Double result = evaluate(substring);
                expression = expression.substring(0, indexOpen).trim() + " " + result + " " + expression.substring(indexClose + 1).trim();
                return evaluate(expression.trim());
            }
        }

        String operation = "";
        if(expression.indexOf(" / ") != -1){
            operation = "/";
        }else if(expression.indexOf(" ^ ") != -1){
            operation = "^";
        } else if(expression.indexOf(" * ") != -1){
            operation = "*";
        } else if(expression.indexOf(" + ") != -1){
            operation = "+";
        } else if(expression.indexOf(" - ") != -1){ //Avoid negative numbers
            operation = "-";
        } else{
            return Double.parseDouble(expression);
        }

        int index = expression.indexOf(operation);
        if(index != -1){
            indexOpen = expression.lastIndexOf(" ", index - 2);
            indexOpen = (indexOpen == -1)?0:indexOpen;
            indexClose = expression.indexOf(" ", index + 2);
            indexClose = (indexClose == -1)?expression.length():indexClose;
            if(indexOpen != -1 && indexClose != -1) {
                Double lhs = Double.parseDouble(expression.substring(indexOpen, index));
                Double rhs = Double.parseDouble(expression.substring(index + 2, indexClose));
                Double result = null;
                switch (operation){
                    case "/":
                        //Prevent divide by 0 exception.
                        if(rhs == 0){
                            return null;
                        }
                        result = lhs / rhs;
                        break;
                    case "^":
                        result = Math.pow(lhs, rhs);
                        break;
                    case "*":
                        result = lhs * rhs;
                        break;
                    case "-":
                        result = lhs - rhs;
                        break;
                    case "+":
                        result = lhs + rhs;
                        break;
                    default:
                        break;
                }
                if(indexClose == expression.length()){
                    expression = expression.substring(0, indexOpen) + " " + result + " " + expression.substring(indexClose);
                }else{
                    expression = expression.substring(0, indexOpen) + " " + result + " " + expression.substring(indexClose + 1);
                }
                return Double.valueOf(df.format(evaluate(expression.trim())));
            }
        }
    }catch(Exception exp){
        exp.printStackTrace();
    }
    return 0.0;
}

public static void main(String args[]){

    Scanner scanner = new Scanner(System.in);
    System.out.print("Enter an Mathematical Expression to Evaluate: ");
    String input = scanner.nextLine();
    System.out.println(evaluate(input));
}

}

本文讨论了各种方法。以下是文中提到的两种关键方法:

Apache的JEXL

允许脚本包含对java对象的引用。

// Create or retrieve a JexlEngine
JexlEngine jexl = new JexlEngine();
// Create an expression object
String jexlExp = "foo.innerFoo.bar()";
Expression e = jexl.createExpression( jexlExp );
 
// Create a context and add data
JexlContext jctx = new MapContext();
jctx.set("foo", new Foo() );
 
// Now evaluate the expression, getting the result
Object o = e.evaluate(jctx);

使用JDK中嵌入的javascript引擎:

private static void jsEvalWithVariable()
{
    List<String> namesList = new ArrayList<String>();
    namesList.add("Jill");
    namesList.add("Bob");
    namesList.add("Laureen");
    namesList.add("Ed");
 
    ScriptEngineManager mgr = new ScriptEngineManager();
    ScriptEngine jsEngine = mgr.getEngineByName("JavaScript");
 
    jsEngine.put("namesListKey", namesList);
    System.out.println("Executing in script environment...");
    try
    {
      jsEngine.eval("var x;" +
                    "var names = namesListKey.toArray();" +
                    "for(x in names) {" +
                    "  println(names[x]);" +
                    "}" +
                    "namesListKey.add(\"Dana\");");
    }
    catch (ScriptException ex)
    {
        ex.printStackTrace();
    }
}

对于JDK1.6,您可以使用内置的Javascript引擎。

import javax.script.ScriptEngineManager;
import javax.script.ScriptEngine;
import javax.script.ScriptException;

public class Test {
  public static void main(String[] args) throws ScriptException {
    ScriptEngineManager mgr = new ScriptEngineManager();
    ScriptEngine engine = mgr.getEngineByName("JavaScript");
    String foo = "40+2";
    System.out.println(engine.eval(foo));
    } 
}