Интересным способом решения вашей проблемы может быть кодирование функции eval () самостоятельно!
Я сделал это для тебя!
Вы можете использовать библиотеку FunctionSolver, просто набрав FunctionSolver.solveByX ( function , value ) внутри своего кода. Атрибут function - это строка, представляющая функцию, которую вы хотите решить, атрибут value - это значение независимой переменной.
вашей функции (которая должна быть х).
Если вы хотите решить функцию, которая содержит более одной независимой переменной, вы можете использовать FunctionSolver.solve ( function , values ) , где * Атрибут 1021 * values представляет собой HashMap (String, Double) , который содержит все ваши независимые атрибуты (как строки) и их соответствующие значения (как значения типа Double).
Другая часть информации: я кодировал простую версию FunctionSolver , поэтому он поддерживает только математические методы , которые возвращают двойное значение и которые принимают одно или два двойных значения как поля (просто используйте FunctionSolver.usableMathMethods () , если вам интересно) (Эти методы: bs, sin, cos, tan, atan2, sqrt, log, log10, pow, exp, min , max, copySign, signum, IEEEremainder, acos, asin, atan, cbrt, ceil, cosh, expm1, floor, hypot, log1p, nextAfter, nextDown, nextUp, случайный, rint, sinh, tanh, toDegrees, toRadians, ulp) . Кроме того, эта библиотека поддерживает следующие операторы: * / + - ^ (даже если Java обычно не поддерживает оператор ^).
И последнее: при создании этой библиотеки мне пришлось использовать отражений для вызова математических методов . Я думаю, что это действительно круто, просто посмотрите на это , если вам интересно!
Вот и все, вот код (и библиотека ):
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();
}
}