import java.util.*;
public class ValuteExpression {
public static void main (String args[]){
String expression = "(3.0^(3.0^(1.0/4.0)*2.0))*(sqrt(13.0)*3.0^2.0+25.0-1.0)";
System.out.println("Risolvo l'espressione: '" + expression +"'");
expression = sanitize(expression);
expression = Function.computeAll(expression);
expression = compute(expression);
System.out.println(expression);
}
public static String sanitize(String expression){
if (expression.charAt(0)=='-' || expression.charAt(0)=='+')
expression="0.0"+expression;
return expression;
}
public static String compute(String expression){
//expression = sanitize(expression);
expression="("+expression+"+0.0)";
System.out.println(expression);
MathExpression MExp = new
MathExpression(expression);
Dominio dominio = MExp.internalBrackets();
while (MExp.operators.size() > 0 && MExp.numbers.size() >=2){
dominio = MExp.internalBrackets();
String subExpression = expression.substring(dominio.inizio(),dominio.fine()+1);
System.out.println(subExpression);
MathExpression MExp2 = new MathExpression(subExpression);
int n = MExp2.numPow();
for(int k = 0; k < n; k++) {
for(int j = 0; j < MExp2.numbers.size()-1; j++){
double num0 = MExp2.numbers.get(j).value();
double num1 = MExp2.numbers.get(j+1).value();
int pos0 = MExp2.numbers.get(j).position();
int pos1 = MExp2.numbers.get(j+1).position();
int posOP = MExp2.operators.get(j).position();
char typeOP = MExp2.operators.get(j).type();
if (typeOP==Operator.POTENZA){
if (posOP > pos0 && posOP < pos1){
String old = num0 + "^" + num1;
String result = String.valueOf(MathExpression.Potenza(num0, num1));
subExpression = subExpression.replace(old, result);
//System.out.println(result);
}
}
}
MExp2 = new MathExpression(subExpression);
}
n = MExp2.numMultiply();
for(int k = 0; k < n; k++) {
for(int j = 0; j < MExp2.numbers.size()-1; j++){
double num0 = MExp2.numbers.get(j).value();
double num1 = MExp2.numbers.get(j+1).value();
int pos0 = MExp2.numbers.get(j).position();
int pos1 = MExp2.numbers.get(j+1).position();
int posOP = MExp2.operators.get(j).position();
char typeOP = MExp2.operators.get(j).type();
if (typeOP==Operator.MULTIPLY){
if (posOP > pos0 && posOP < pos1){
String old = num0 + "*" + num1;
String result = String.valueOf(MathExpression.Moltiplica(num0, num1));
subExpression = subExpression.replace(old, result);
}
}
}
MExp2 = new MathExpression(subExpression);
}
n = MExp2.numDivide();
for(int k = 0; k < n; k++) {
for(int j = 0; j < MExp2.numbers.size()-1; j++){
double num0 = MExp2.numbers.get(j).value();
double num1 = MExp2.numbers.get(j+1).value();
int pos0 = MExp2.numbers.get(j).position();
int pos1 = MExp2.numbers.get(j+1).position();
int posOP = MExp2.operators.get(j).position();
char typeOP = MExp2.operators.get(j).type();
if (typeOP==Operator.DIVIDE){
if (posOP > pos0 && posOP < pos1){
String old = num0 + "/" + num1;
String result = String.valueOf(MathExpression.Dividi(num0, num1));
subExpression = subExpression.replace(old, result);
//System.out.println(subExpression);
}
}
}
MExp2 = new MathExpression(subExpression);
}
n = MExp2.numSum();
for(int k = 0; k < n; k++) {
for(int j = 0; j < MExp2.numbers.size()-1; j++){
double num0 = MExp2.numbers.get(j).value();
double num1 = MExp2.numbers.get(j+1).value();
int pos0 = MExp2.numbers.get(j).position();
int pos1 = MExp2.numbers.get(j+1).position();
int posOP = MExp2.operators.get(j).position();
char typeOP = MExp2.operators.get(j).type();
if (typeOP==Operator.SUM){
if (posOP > pos0 && posOP < pos1){
String old = num0 + "+" + num1;
String result = String.valueOf(MathExpression.Somma(num0, num1));
subExpression = subExpression.replace(old, result);
//System.out.println(subExpression);
}
}
}
MExp2 = new MathExpression(subExpression);
}
n = MExp2.numSubtract();
for(int k = 0; k < n; k++) {
for(int j = 0; j < MExp2.numbers.size()-1; j++){
double num0 = MExp2.numbers.get(j).value();
double num1 = MExp2.numbers.get(j+1).value();
int pos0 = MExp2.numbers.get(j).position();
int pos1 = MExp2.numbers.get(j+1).position();
int posOP = MExp2.operators.get(j).position();
char typeOP = MExp2.operators.get(j).type();
if (typeOP==Operator.SUBTRACT){
if (posOP > pos0 && posOP < pos1){
String old = num0 + "-" + num1;
String result = String.valueOf(MathExpression.Sottrai(num0, num1));
subExpression = subExpression.replace(old, result);
//System.out.println(subExpression);
}
}
}
MExp2 = new MathExpression(subExpression);
}
String left = pos(expression,0,dominio.inizio()-2);
String rigth = pos(expression,dominio.fine()+2,expression.length()-1);
expression = left+subExpression+rigth;
expression = sanitize(expression);
MExp = new MathExpression(expression);
}
return expression;
}
public static String pos(String s, int begin, int end){
String str = "";
for(int k=begin; k<=end; k++){
str += s.charAt(k);
}
return str;
}
}
class MathExpression {
int o = 0; int b = 0; int n = 0; int f=0;
Dominio dominio;
ArrayList <Number> numbers = new ArrayList<>();
ArrayList <Bracket> brackets = new ArrayList<>();
ArrayList <Operator> operators = new ArrayList<>();
ArrayList <Function> functions = new ArrayList<>();
private int numPotenza;
private int numMultiply;
private int numDivide;
private int numSum;
private int numSubtract;
String expression;
private void getNum(){
for(Operator op : operators) {
switch(op.type()) {
case Operator.POTENZA:
numPotenza++; break;
case Operator.MULTIPLY:
numMultiply++; break;
case Operator.DIVIDE:
numDivide++; break;
case Operator.SUM:
numSum++; break;
case Operator.SUBTRACT:
numSubtract++; break;
}
}
}
public int numPow(){
return numPotenza;
}
public int numMultiply(){
return numMultiply;
}
public int numDivide(){
return numDivide;
}
public int numSum(){
return numSum;
}
public int numSubtract(){
return numSubtract;
}
public void setExpression(String expression){
this.expression = expression;
}
public String getExpression(){
return this.expression;
}
MathExpression(String expression) {
scandisk(expression);
this.getNum();
}
Dominio internalBrackets(){
int j = brackets.size()-1;
char parentesi = brackets.get(j).type();
while (parentesi != Bracket.OPEN) {
j--; parentesi = brackets.get(j).type();
}
if (parentesi == Bracket.OPEN) {
if (brackets.get(j+1).type() == Bracket.CLOSE) {
dominio = new Dominio(brackets.get(j).position()+1,
brackets.get(j+1).position()-1);
}
}
return dominio;
}
void scandisk(String expression){
char c = expression.charAt(0);
int i = 0;
while(i<expression.length() && isMathValue(c)){
String numero = "";
while (isNumber(c) && i<expression.length()) { c = expression.charAt(i); if(isNumber(c)) {
numero += String.valueOf(c); i++; } }
if (numero!="") {
if (numero.indexOf(".")==-1) numero+=".0";
Double valore = Double.parseDouble(String.valueOf(numero));
Number number = new Number(valore, i-1); numbers.add(number); n++;}
//
while (isBracket(c) && i<expression.length()) { c = expression.charAt(i); if(isBracket(c)) {
Bracket bracket = new Bracket(c, i); brackets.add(bracket); i++; b++; } }
if (b > 0) b++;
//
while (isOperator(c) && i<expression.length()) { c = expression.charAt(i); if(isOperator(c)) {
Operator operator = new Operator(c, i); operators.add(operator); i++; o++; } }
if (o > 0) o++;
}
}
public static boolean isNumber(char c){
int ascii = (int)c;
if (ascii>=48 && ascii<=58 || c=='.')
return true; else return false;
}
public static boolean isLetter(char c){
int ascii = (int)c;
if (ascii>=65 && ascii<=91)
return true; else return false;
}
public static boolean isOperator(char c){
if (Operator.isValide(c))
return true; else return false;
}
public static boolean isBracket(char c){
if (c=='(' || c==')')
return true; else return false;
}
public static boolean isMathValue(char c){
if (isOperator(c) || isNumber(c) || isBracket(c))
return true; else return false;
}
public static double Potenza(double a, double b){
return Math.pow(a, b);
}
public static double Moltiplica(double a, double b){
return a * b;
}
public static double Dividi(double a, double b){
return a / b;
}
public static double Somma(double a, double b){
return a + b;
}
public static double Sottrai(double a, double b){
return a - b;
}
}
class Dominio {
private int inizio;
private int fine;
Dominio(int inizio, int fine){
this.inizio = inizio;
this.fine = fine;
}
public int inizio(){
return inizio;
}
public int fine(){
return fine;
}
}
enum Function {
sin, cos, sqrt;
public static String computeAll(String expression){
expression = "("+expression+")";
for (Function f : Function.values()) {
String name = f.toString();
//System.out.println(name);
while (expression.indexOf(name)>=0) {
String argomento = Function.getArg(expression, name);
String argomentoComputed =
ValuteExpression.compute(argomento);
String valueFunction = Function.compute(argomentoComputed, name);
expression = expression.replace(name+"("+argomento+")", valueFunction);
}
}
return expression;
}
public static String getArg(String expression, String name){
String[] NAME = expression.split(name);
int posNAME = expression.indexOf(name);
int begin = NAME[1].indexOf("(");
int end = NAME[1].indexOf(")");
String arg = ValuteExpression.pos(NAME[1], begin+1, end-1);
return arg;
}
public static String compute(String argomento, String name){
double dfncValue = Double.parseDouble(argomento);
switch(name){
case "sin":
dfncValue = Math.sin(dfncValue);
break;
case "cos":
dfncValue = Math.cos(dfncValue);
break;
case "sqrt":
dfncValue = Math.sqrt(dfncValue);
break;
}
String sfncValue = String.valueOf(dfncValue);
return sfncValue;
}
}
class Operator {
public final static char POTENZA = '^';
public final static char MULTIPLY = '*';
public final static char DIVIDE = '/';
public final static char SUM = '+';
public final static char SUBTRACT = '-';
private int position;
private char type;
Operator(char type, int postion){
set(type, postion);
}
public boolean set(char type, int position){
if (isValide(type)) {
this.type = type;
this.position = position;
return true;
}
else return false;
}
public int position(){
return position;
}
public char type(){
return type;
}
public static boolean isValide(char type){
boolean valide = false;
switch(type) {
case POTENZA:
valide = true; break;
case MULTIPLY:
valide = true; break;
case DIVIDE:
valide = true; break;
case SUM:
valide = true; break;
case SUBTRACT:
valide = true; break;
}
return valide;
}
}
class Number {
private int position;
private double value;
private String strvalue;
Number(double value, int position){
set(value, position);
}
Number(String value, int position){
set(value, position);
}
public boolean set(double value, int position){
this.value = value;
this.position = position;
return true;
}
public boolean set(String value, int position){
this.strvalue = strvalue;
this.position = position;
return true;
}
public int position(){
return position;
}
public double value(){
return value;
}
public String strvalue(){
return strvalue;
}
}
class Bracket {
public final static char OPEN = '(';
public final static char CLOSE = ')';
private int position;
private char type;
Bracket(char type, int postion){
set(type, postion);
}
public boolean set(char type, int position){
if (isValide(type)) {
this.type = type;
this.position = position;
return true;
}
else return false;
}
public int position(){
return position;
}
public char type(){
return type;
}
public static boolean isValide(char type){
boolean valide = false;
switch(type) {
case OPEN:
valide = true; break;
case CLOSE:
valide = true; break;
}
return valide;
}
}
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