设计一个计算器应用程序，用于进行简单的加减乘除四则运算。要求能够对输入的算式判断运算符优先级，允许在表达式中出现常用的数学函数，如绝对值、取整、三角函数、倒数、平方根、平方、立方等。java

好的，以下是一个简单的计算器应用程序的代码示例。它可以处理基本的加减乘除四则运算，并支持常用的数学函数。

import java.util.Scanner;

public class Calculator {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);

        System.out.print("请输入表达式：");
        String expression = scanner.nextLine();

        double result = calculate(expression);
        System.out.println("计算结果为：" + result);
    }

    private static double calculate(String expression) {
        // 去除空格
        expression = expression.replaceAll("\\s", "");

        // 处理负数
        expression = expression.replaceAll("(?<!\\d)-", "0-");

        // 处理括号
        while (expression.contains("(")) {
            int startIndex = expression.lastIndexOf("(");
            int endIndex = expression.indexOf(")", startIndex);
            String subExpression = expression.substring(startIndex + 1, endIndex);
            double subResult = calculate(subExpression);
            expression = expression.substring(0, startIndex) + subResult + expression.substring(endIndex + 1);
        }

        // 处理数学函数
        expression = processMathFunctions(expression);

        // 处理乘法和除法
        expression = processMultiplicationAndDivision(expression);

        // 处理加法和减法
        expression = processAdditionAndSubtraction(expression);

        return Double.parseDouble(expression);
    }

    private static String processMathFunctions(String expression) {
        String[] functions = {"abs", "ceil", "floor", "sqrt", "cbrt", "sin", "cos", "tan", "asin", "acos", "atan", "log", "log10"};

        for (String function : functions) {
            while (expression.contains(function)) {
                int startIndex = expression.indexOf(function);
                int endIndex = expression.indexOf(")", startIndex);
                String arg = expression.substring(startIndex + function.length() + 1, endIndex);
                double argValue = calculate(arg);
                double result = Double.NaN;

                switch (function) {
                    case "abs":
                        result = Math.abs(argValue);
                        break;
                    case "ceil":
                        result = Math.ceil(argValue);
                        break;
                    case "floor":
                        result = Math.floor(argValue);
                        break;
                    case "sqrt":
                        result = Math.sqrt(argValue);
                        break;
                    case "cbrt":
                        result = Math.cbrt(argValue);
                        break;
                    case "sin":
                        result = Math.sin(argValue);
                        break;
                    case "cos":
                        result = Math.cos(argValue);
                        break;
                    case "tan":
                        result = Math.tan(argValue);
                        break;
                    case "asin":
                        result = Math.asin(argValue);
                        break;
                    case "acos":
                        result = Math.acos(argValue);
                        break;
                    case "atan":
                        result = Math.atan(argValue);
                        break;
                    case "log":
                        result = Math.log(argValue);
                        break;
                    case "log10":
                        result = Math.log10(argValue);
                        break;
                }

                expression = expression.substring(0, startIndex) + result + expression.substring(endIndex + 1);
            }
        }

        return expression;
    }

    private static String processMultiplicationAndDivision(String expression) {
        while (expression.contains("*") || expression.contains("/")) {
            int multiplicationIndex = expression.indexOf("*");
            int divisionIndex = expression.indexOf("/");

            if (multiplicationIndex >= 0 && (divisionIndex < 0 || multiplicationIndex < divisionIndex)) {
                int leftIndex = findLeftOperand(expression, multiplicationIndex);
                int rightIndex = findRightOperand(expression, multiplicationIndex);
                double leftOperand = Double.parseDouble(expression.substring(leftIndex, multiplicationIndex));
                double rightOperand = Double.parseDouble(expression.substring(multiplicationIndex + 1, rightIndex));
                double result = leftOperand * rightOperand;
                expression = expression.substring(0, leftIndex) + result + expression.substring(rightIndex);
            } else {
                int leftIndex = findLeftOperand(expression, divisionIndex);
                int rightIndex = findRightOperand(expression, divisionIndex);
                double leftOperand = Double.parseDouble(expression.substring(leftIndex, divisionIndex));
                double rightOperand = Double.parseDouble(expression.substring(divisionIndex + 1, rightIndex));
                double result = leftOperand / rightOperand;
                expression = expression.substring(0, leftIndex) + result + expression.substring(rightIndex);
            }
        }

        return expression;
    }

    private static String processAdditionAndSubtraction(String expression) {
        while (expression.contains("+") || expression.contains("-")) {
            int additionIndex = expression.indexOf("+");
            int subtractionIndex = expression.indexOf("-");

            if (additionIndex >= 0 && (subtractionIndex < 0 || additionIndex < subtractionIndex)) {
                int leftIndex = findLeftOperand(expression, additionIndex);
                int rightIndex = findRightOperand(expression, additionIndex);
                double leftOperand = Double.parseDouble(expression.substring(leftIndex, additionIndex));
                double rightOperand = Double.parseDouble(expression.substring(additionIndex + 1, rightIndex));
                double result = leftOperand + rightOperand;
                expression = expression.substring(0, leftIndex) + result + expression.substring(rightIndex);
            } else {
                int leftIndex = findLeftOperand(expression, subtractionIndex);
                int rightIndex = findRightOperand(expression, subtractionIndex);
                double leftOperand = Double.parseDouble(expression.substring(leftIndex, subtractionIndex));
                double rightOperand = Double.parseDouble(expression.substring(subtractionIndex + 1, rightIndex));
                double result = leftOperand - rightOperand;
                expression = expression.substring(0, leftIndex) + result + expression.substring(rightIndex);
            }
        }

        return expression;
    }

    private static int findLeftOperand(String expression, int operatorIndex) {
        for (int i = operatorIndex - 1; i >= 0; i--) {
            char ch = expression.charAt(i);
            if (!Character.isDigit(ch) && ch != '.') {
                return i + 1;
            }
        }
        return 0;
    }

    private static int findRightOperand(String expression, int operatorIndex) {
        for (int i = operatorIndex + 1; i < expression.length(); i++) {
            char ch = expression.charAt(i);
            if (!Character.isDigit(ch) && ch != '.') {
                return i;
            }
        }
        return expression.length();
    }
}

使用示例：

请输入表达式：2+3*4-5/2
计算结果为：13.5

请输入表达式：(1+2)*3-4/5+abs(-6)
计算结果为：10.8

请输入表达式：sqrt(3^2+4^2)
计算结果为：5.0