String str ="4*5";

ScriptEngineManager manager = new ScriptEngineManager();
ScriptEngine engine = manager.getEngineByName("js");
Object result = engine.eval("4*5");

Expression e = new ExpressionBuilder("3 * sin(y) - 2 / (x - 2)")
    .variables("x","y")
    .build()
    .setVariable("x", 2.3)
    .setVariable("y", 3.14);
double result = e.evaluate();

import jdk.jshell.JShell;
import java.lang.StringBuilder;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;

public class Eval {
    public static void main(String[] args) throws IOException {
        try(JShell js = JShell.create(); BufferedReader br = new BufferedReader(new InputStreamReader(System.in))) {

            js.onSnippetEvent(snip -> {
                if (snip.status() == jdk.jshell.Snippet.Status.VALID) {
                    System.out.println("?" + snip.value());
                }
            });

            System.out.print(">");
            for (String line = br.readLine(); line != null; line = br.readLine()) {
                js.eval(js.sourceCodeAnalysis().analyzeCompletion(line).source());
                System.out.print(">");
            }
        }
    }
}

> 1 + 2 / 4 * 3
? 1
> 32 * 121
? 3872
> 4 * 5
? 20
> 121 * 51
? 6171
>

package core;

 import java.lang.reflect.InvocationTargetException;
 import java.lang.reflect.Method;
 import java.util.ArrayList;
 import java.util.Arrays;
 import java.util.HashMap;

 public abstract class FunctionSolver {

public static double solveNumericExpression (String expression) throws NoSuchMethodException, IllegalAccessException, IllegalArgumentException, InvocationTargetException {
    return solve(expression, new HashMap<>());
}

public static double solveByX (String function, double value) throws NoSuchMethodException, IllegalAccessException, IllegalArgumentException, InvocationTargetException {

    HashMap<String, Double> values = new HashMap<>();
    values.put("x", value);
    return solveComplexFunction(function, function, values);
}

public static double solve (String function, HashMap<String,Double> values) throws NoSuchMethodException, IllegalAccessException, IllegalArgumentException, InvocationTargetException {

    return solveComplexFunction(function, function, values);
}

private static double solveComplexFunction (String function, String motherFunction, HashMap<String, Double> values) throws NoSuchMethodException, IllegalAccessException, IllegalArgumentException, InvocationTargetException {

    int position = 0;
    while(position < function.length()) {
        if (alphabetic.contains(""+function.charAt(position))) {
            if (position == 0 || !alphabetic.contains(""+function.charAt(position-1))) {
                int endIndex = -1;
                for (int j = position ; j < function.length()-1 ; j++) {
                    if (alphabetic.contains(""+function.charAt(j))
                            && !alphabetic.contains(""+function.charAt(j+1))) {
                        endIndex = j;
                        break;
                    }
                }
                if (endIndex == -1 & alphabetic.contains(""+function.charAt(function.length()-1))) {
                    endIndex = function.length()-1;
                }
                if (endIndex != -1) {
                    String alphabeticElement = function.substring(position, endIndex+1);
                    if (Arrays.asList(usableMathMethods()).contains(alphabeticElement)) {
                        //Start analyzing a Math function
                        int closeParenthesisIndex = -1;
                        int openedParenthesisquantity = 0;
                        int commaIndex = -1;
                        for (int j = endIndex+1 ; j < function.length() ; j++) {
                            if (function.substring(j,j+1).equals("(")) {
                                openedParenthesisquantity++;
                            }else if (function.substring(j,j+1).equals(")")) {
                                openedParenthesisquantity--;
                                if (openedParenthesisquantity == 0) {
                                    closeParenthesisIndex = j;
                                    break;
                                }
                            }else if (function.substring(j,j+1).equals(",") & openedParenthesisquantity == 0) {
                                if (commaIndex == -1) {
                                    commaIndex = j;
                                }else{
                                    throw new IllegalArgumentException("The argument of math function (which is"+alphabeticElement+") has too many commas");
                                }
                            }
                        }
                        if (closeParenthesisIndex == -1) {
                            throw new IllegalArgumentException("The argument of a Math function (which is"+alphabeticElement+") hasn't got the closing bracket )");
                        }  
                        String functionArgument = function.substring(endIndex+2,closeParenthesisIndex);
                        if (commaIndex != -1) {
                            double firstParameter = solveComplexFunction(functionArgument.substring(0,commaIndex),motherFunction,values);
                            double secondParameter = solveComplexFunction(functionArgument.substring(commaIndex+1),motherFunction,values);
                            Method mathMethod = Math.class.getDeclaredMethod(alphabeticElement, new Class< ? >[] {double.class, double.class});
                            mathMethod.setAccessible(true);
                            String newKey = getNewKey(values);
                            values.put(newKey, (Double) mathMethod.invoke(null, firstParameter, secondParameter));
                            function = function.substring(0, position)+newKey
                                       +((closeParenthesisIndex == function.length()-1)?(""):(function.substring(closeParenthesisIndex+1)));
                        }else {
                            double firstParameter = solveComplexFunction(functionArgument, motherFunction, values);
                            Method mathMethod = Math.class.getDeclaredMethod(alphabeticElement, new Class< ? >[] {double.class});
                            mathMethod.setAccessible(true);
                            String newKey = getNewKey(values);
                            values.put(newKey, (Double) mathMethod.invoke(null, firstParameter));
                            function = function.substring(0, position)+newKey
                                       +((closeParenthesisIndex == function.length()-1)?(""):(function.substring(closeParenthesisIndex+1)));
                        }  
                    }else if (!values.containsKey(alphabeticElement)) {
                        throw new IllegalArgumentException("Found a group of letters ("+alphabeticElement+") which is neither a variable nor a Math function:");
                    }
                }
            }
        }
        position++;
    }
    return solveBracketsFunction(function,motherFunction,values);
}

private static double solveBracketsFunction (String function,String motherFunction,HashMap<String, Double> values) throws IllegalArgumentException{

    function = function.replace("","");
    String openingBrackets ="([{";
    String closingBrackets =")]}";
    int parenthesisIndex = 0;
    do {
        int position = 0;
        int openParenthesisBlockIndex = -1;
        String currentOpeningBracket = openingBrackets.charAt(parenthesisIndex)+"";
        String currentClosingBracket = closingBrackets.charAt(parenthesisIndex)+"";
        if (contOccouranceIn(currentOpeningBracket,function) != contOccouranceIn(currentClosingBracket,function)) {
            throw new IllegalArgumentException("Error: brackets are misused in the function"+function);
        }
        while (position < function.length()) {
            if (function.substring(position,position+1).equals(currentOpeningBracket)) {
                if (position != 0 && !operators.contains(function.substring(position-1,position))) {
                    throw new IllegalArgumentException("Error in function: there must be an operator following a"+currentClosingBracket+" breacket");
                }
                openParenthesisBlockIndex = position;
            }else if (function.substring(position,position+1).equals(currentClosingBracket)) {
                if (position != function.length()-1 && !operators.contains(function.substring(position+1,position+2))) {
                    throw new IllegalArgumentException("Error in function: there must be an operator before a"+currentClosingBracket+" breacket");
                }
                String newKey = getNewKey(values);
                values.put(newKey, solveBracketsFunction(function.substring(openParenthesisBlockIndex+1,position),motherFunction, values));
                function = function.substring(0,openParenthesisBlockIndex)+newKey
                           +((position == function.length()-1)?(""):(function.substring(position+1)));
                position = -1;
            }
            position++;
        }
        parenthesisIndex++;
    }while (parenthesisIndex < openingBrackets.length());
    return solveBasicFunction(function,motherFunction, values);
}

private static double solveBasicFunction (String function, String motherFunction, HashMap<String, Double> values) throws IllegalArgumentException{

    if (!firstContainsOnlySecond(function, alphanumeric+operators)) {
        throw new IllegalArgumentException("The function"+function+" is not a basic function");
    }
    if (function.contains("**") |
        function.contains("//") |
        function.contains("--") |
        function.contains("+*") |
        function.contains("+/") |
        function.contains("-*") |
        function.contains("-/")) {
        /*
         * ( -+ , +- , *- , *+ , /- , /+ )> Those values are admitted
         */
        throw new IllegalArgumentException("Operators are misused in the function");
    }
    function = function.replace("","");
    int position;
    int operatorIndex = 0;
    String currentOperator;
    do {
        currentOperator = operators.substring(operatorIndex,operatorIndex+1);
        if (currentOperator.equals("*")) {
            currentOperator+="/";
            operatorIndex++;
        }else if (currentOperator.equals("+")) {
            currentOperator+="-";
            operatorIndex++;
        }
        operatorIndex++;
        position = 0;
        while (position < function.length()) {
            if ((position == 0 && !(""+function.charAt(position)).equals("-") && !(""+function.charAt(position)).equals("+") && operators.contains(""+function.charAt(position))) ||
                (position == function.length()-1 && operators.contains(""+function.charAt(position)))){
                throw new IllegalArgumentException("Operators are misused in the function");
            }
            if (currentOperator.contains(function.substring(position, position+1)) & position != 0) {
                int firstTermBeginIndex = position;
                while (firstTermBeginIndex > 0) {
                    if ((alphanumeric.contains(""+function.charAt(firstTermBeginIndex))) & (operators.contains(""+function.charAt(firstTermBeginIndex-1)))){
                        break;
                    }
                    firstTermBeginIndex--;
                }
                if (firstTermBeginIndex != 0 && (function.charAt(firstTermBeginIndex-1) == '-' | function.charAt(firstTermBeginIndex-1) == '+')) {
                    if (firstTermBeginIndex == 1) {
                        firstTermBeginIndex--;
                    }else if (operators.contains(""+(function.charAt(firstTermBeginIndex-2)))){
                        firstTermBeginIndex--;
                    }
                }
                String firstTerm = function.substring(firstTermBeginIndex,position);
                int secondTermLastIndex = position;
                while (secondTermLastIndex < function.length()-1) {
                    if ((alphanumeric.contains(""+function.charAt(secondTermLastIndex))) & (operators.contains(""+function.charAt(secondTermLastIndex+1)))) {
                        break;
                    }
                    secondTermLastIndex++;
                }
                String secondTerm = function.substring(position+1,secondTermLastIndex+1);
                double result;
                switch (function.substring(position,position+1)) {
                    case"*": result = solveSingleValue(firstTerm,values)*solveSingleValue(secondTerm,values); break;
                    case"/": result = solveSingleValue(firstTerm,values)/solveSingleValue(secondTerm,values); break;
                    case"+": result = solveSingleValue(firstTerm,values)+solveSingleValue(secondTerm,values); break;
                    case"-": result = solveSingleValue(firstTerm,values)-solveSingleValue(secondTerm,values); break;
                    case"^": result = Math.pow(solveSingleValue(firstTerm,values),solveSingleValue(secondTerm,values)); break;
                    default: throw new IllegalArgumentException("Unknown operator:"+currentOperator);
                }
                String newAttribute = getNewKey(values);
                values.put(newAttribute, result);
                function = function.substring(0,firstTermBeginIndex)+newAttribute+function.substring(secondTermLastIndex+1,function.length());
                deleteValueIfPossible(firstTerm, values, motherFunction);
                deleteValueIfPossible(secondTerm, values, motherFunction);
                position = -1;
            }
            position++;
        }
    }while (operatorIndex < operators.length());
    return solveSingleValue(function, values);
}

private static double solveSingleValue (String singleValue, HashMap<String, Double> values) throws IllegalArgumentException{

    if (isDouble(singleValue)) {
        return Double.parseDouble(singleValue);
    }else if (firstContainsOnlySecond(singleValue, alphabetic)){
        return getValueFromVariable(singleValue, values);
    }else if (firstContainsOnlySecond(singleValue, alphanumeric+"-+")) {
        String[] composition = splitByLettersAndNumbers(singleValue);
        if (composition.length != 2) {
            throw new IllegalArgumentException("Wrong expression:"+singleValue);
        }else {
            if (composition[0].equals("-")) {
                composition[0] ="-1";
            }else if (composition[1].equals("-")) {
                composition[1] ="-1";
            }else if (composition[0].equals("+")) {
                composition[0] ="+1";
            }else if (composition[1].equals("+")) {
                composition[1] ="+1";
            }
            if (isDouble(composition[0])) {
                return Double.parseDouble(composition[0])*getValueFromVariable(composition[1], values);
            }else if (isDouble(composition[1])){
                return Double.parseDouble(composition[1])*getValueFromVariable(composition[0], values);
            }else {
                throw new IllegalArgumentException("Wrong expression:"+singleValue);
            }
        }
    }else {
        throw new IllegalArgumentException("Wrong expression:"+singleValue);
    }
}

private static double getValueFromVariable (String variable, HashMap<String, Double> values) throws IllegalArgumentException{

    Double val = values.get(variable);
    if (val == null) {
        throw new IllegalArgumentException("Unknown variable:"+variable);
    }else {
        return val;
    }
}

/*
 * FunctionSolver help tools:
 *
 */

private static final String alphabetic ="abcdefghilmnopqrstuvzwykxy";
private static final String numeric ="0123456789.";
private static final String alphanumeric = alphabetic+numeric;
private static final String operators ="^*/+-"; //--> Operators order in important!

private static boolean firstContainsOnlySecond(String firstString, String secondString) {

    for (int j = 0 ; j < firstString.length() ; j++) {
        if (!secondString.contains(firstString.substring(j, j+1))) {
            return false;
        }
    }
    return true;
}

private static String getNewKey (HashMap<String, Double> hashMap) {

    String alpha ="abcdefghilmnopqrstuvzyjkx";
    for (int j = 0 ; j < alpha.length() ; j++) {
        String k = alpha.substring(j,j+1);
        if (!hashMap.containsKey(k) & !Arrays.asList(usableMathMethods()).contains(k)) {
            return k;
        }
    }
    for (int j = 0 ; j < alpha.length() ; j++) {
        for (int i = 0 ; i < alpha.length() ; i++) {
            String k = alpha.substring(j,j+1)+alpha.substring(i,i+1);
            if (!hashMap.containsKey(k) & !Arrays.asList(usableMathMethods()).contains(k)) {
                return k;
            }
        }
    }
    throw new NullPointerException();
}

public static String[] usableMathMethods () {

    /*
     *  Only methods that:
     *  return a double type
     *  present one or two parameters (which are double type)
     */

    Method[] mathMethods = Math.class.getDeclaredMethods();
    ArrayList<String> usableMethodsNames = new ArrayList<>();
    for (Method method : mathMethods) {
        boolean usable = true;
        int argumentsCounter = 0;
        Class< ? >[] methodParametersTypes = method.getParameterTypes();
        for (Class< ? > parameter : methodParametersTypes) {
            if (!parameter.getSimpleName().equalsIgnoreCase("double")) {
                usable = false;
                break;
            }else {
                argumentsCounter++;
            }
        }
        if (!method.getReturnType().getSimpleName().toLowerCase().equals("double")) {
            usable = false;
        }
        if (usable & argumentsCounter<=2) {
            usableMethodsNames.add(method.getName());
        }
    }
    return usableMethodsNames.toArray(new String[usableMethodsNames.size()]);
}

private static boolean isDouble (String number) {
    try {
        Double.parseDouble(number);
        return true;
    }catch (Exception ex) {
        return false;
    }
}

private static String[] splitByLettersAndNumbers (String val) {
    if (!firstContainsOnlySecond(val, alphanumeric+"+-")) {
        throw new IllegalArgumentException("Wrong passed value: <<"+val+">>");
    }
    ArrayList<String> response = new ArrayList<>();
    String searchingFor;
    int lastIndex = 0;
    if (firstContainsOnlySecond(""+val.charAt(0), numeric+"+-")) {
        searchingFor = alphabetic;
    }else {
        searchingFor = numeric+"+-";
    }
    for (int j = 0 ; j < val.length() ; j++) {
        if (searchingFor.contains(val.charAt(j)+"")) {
            response.add(val.substring(lastIndex, j));
            lastIndex = j;
            if (searchingFor.equals(numeric+"+-")) {
                searchingFor = alphabetic;
            }else {
                searchingFor = numeric+"+-";
            }
        }
    }
    response.add(val.substring(lastIndex,val.length()));
    return response.toArray(new String[response.size()]);
}

private static void deleteValueIfPossible (String val, HashMap<String, Double> values, String function) {
    if (values.get(val) != null & function != null) {
        if (!function.contains(val)) {
            values.remove(val);
        }
    }
}

private static int contOccouranceIn (String howManyOfThatString, String inThatString) {
    return inThatString.length() - inThatString.replace(howManyOfThatString,"").length();
}
 }

package evaluation;

import java.math.BigInteger;
import java.util.EmptyStackException;
import java.util.Scanner;
import java.util.Stack;
import javax.script.ScriptEngine;
import javax.script.ScriptEngineManager;
import javax.script.ScriptException;

public class EvalPlus {
    private static Scanner scanner = new Scanner(System.in);

    public static void main(String[] args) {
        System.out.println("This Evaluation is based on BODMAS rule
");
        evaluate();
    }

    private static void evaluate() {
        StringBuilder finalStr = new StringBuilder();
        System.out.println("Enter an expression to evaluate:");
        String expr = scanner.nextLine();
        if(isProperExpression(expr)) {
            expr = replaceBefore(expr);
            char[] temp = expr.toCharArray();
            String operators ="(+-*/%)";
            for(int i = 0; i < temp.length; i++) {
                if((i == 0 && temp[i] != '*') || (i == temp.length-1 && temp[i] != '*' && temp[i] != '!')) {
                    finalStr.append(temp[i]);
                } else if((i > 0 && i < temp.length -1) || (i==temp.length-1 && temp[i] == '!')) {
                    if(temp[i] == '!') {
                        StringBuilder str = new StringBuilder();
                        for(int k = i-1; k >= 0; k--) {
                            if(Character.isDigit(temp[k])) {
                                str.insert(0, temp[k] );
                            } else {
                                break;
                            }
                        }
                        Long prev = Long.valueOf(str.toString());
                        BigInteger val = new BigInteger("1");
                        for(Long j = prev; j > 1; j--) {
                            val = val.multiply(BigInteger.valueOf(j));
                        }
                        finalStr.setLength(finalStr.length() - str.length());
                        finalStr.append("(" + val +")");
                        if(temp.length > i+1) {
                            char next = temp[i+1];
                            if(operators.indexOf(next) == -1) {
                                finalStr.append("*");
                            }
                        }
                    } else {
                        finalStr.append(temp[i]);
                    }
                }
            }
            expr = finalStr.toString();
            if(expr != null && !expr.isEmpty()) {
                ScriptEngineManager mgr = new ScriptEngineManager();
                ScriptEngine engine = mgr.getEngineByName("JavaScript");
                try {
                    System.out.println("Result:" + engine.eval(expr));
                    evaluate();
                } catch (ScriptException e) {
                    System.out.println(e.getMessage());
                }
            } else {
                System.out.println("Please give an expression");
                evaluate();
            }
        } else {
            System.out.println("Not a valid expression");
            evaluate();
        }
    }

    private static String replaceBefore(String expr) {
        expr = expr.replace("(","*(");
        expr = expr.replace("+*","+").replace("-*","-").replace("**","*").replace("/*","/").replace("%*","%");
        return expr;
    }

    private static boolean isProperExpression(String expr) {
        expr = expr.replaceAll("[^()]","");
        char[] arr = expr.toCharArray();
        Stack<Character> stack = new Stack<Character>();
        int i =0;
        while(i < arr.length) {
            try {
                if(arr[i] == '(') {
                    stack.push(arr[i]);
                } else {
                    stack.pop();
                }
            } catch (EmptyStackException e) {
                stack.push(arr[i]);
            }
            i++;
        }
        return stack.isEmpty();
    }
}

ScriptEngineManager mgr = new ScriptEngineManager();
ScriptEngine engine = mgr.getEngineByName("JavaScript");
String str ="4*5";
System.out.println(engine.eval(str));