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ex5.cpp
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#include <iostream>
#include <string>
#include <cstring>
#include <vector>
#include <regex>
#include "stdlib.h"
using namespace std;
regex regOnlyReal("[-]?[0-9]*");
regex regOnlyImaginary("[-]?[0-9]*[i]");
regex regBoth("[-]?[0-9]*[+-][0-9]*[i]");
class ComplexNumber{
public:
ComplexNumber(){
this->real = 0;
this->imaginary = 0;
}
int getReal(){
return this->real;
}
int getImaginary(){
return this->imaginary;
}
void setReal(int r){
this->real = r;
}
void setImaginary(int i){
this->imaginary = i;
}
private:
int real;
int imaginary;
};
string cal(string a, string op, string b){
string aR="";
string aI="";
string bR="";
string bI="";
string result = "";
if( regex_match(a, regOnlyReal) && regex_match(b, regOnlyReal) ){ // a only real part & b only real part
if(op == "*")
return to_string( atoi( a.c_str() ) * atoi( b.c_str() ) );
else if(op == "+")
return to_string( atoi( a.c_str() ) + atoi( b.c_str() ) );
else if(op == "-")
return to_string( atoi( a.c_str() ) - atoi( b.c_str() ) );
}
else if( regex_match(a, regOnlyImaginary) && regex_match(b, regOnlyImaginary) ){ // a only imaginary part & b only imaginary part
for(int i=0;i<a.size()-1;i++) // get imaginary of a
aI += a[i];
for(int i=0;i<b.size()-1;i++) // get imaginary of b
bI += b[i];
if(op == "*"){
if(atoi( aI.c_str() ) * atoi( bI.c_str()) < 0)
result = to_string( atoi( aI.c_str() ) * atoi( bI.c_str() ) * -1)+"i";
else
result = to_string( atoi( aI.c_str() ) * atoi( bI.c_str() ))+"i";
}
else if(op == "+")
result = to_string( atoi( aI.c_str() ) + atoi( bI.c_str() ))+"i";
else if(op == "-")
result = to_string( atoi( aI.c_str() ) - atoi( bI.c_str() ))+"i";
return result;
}
else if( regex_match(a, regOnlyReal) && regex_match(b, regOnlyImaginary) ){ // a only real part & b only imaginary part
for(int i=0;i<b.size()-1;i++) // get imaginary of b
bI += b[i];
if(op == "*")
return to_string( atoi( a.c_str() ) * atoi( bI.c_str() ) )+"i";
else if(op == "+"){
return to_string( atoi( a.c_str() ) + atoi( b.c_str() ) )+"i";
}
else if(op == "-"){
if(atoi(bI.c_str())<0)
return to_string( atoi( a.c_str() )) + "+" +to_string( atoi( bI.c_str() ) ) +"i";
return to_string( atoi( a.c_str() )) + "-" +to_string( atoi( bI.c_str() ) ) +"i";
}
}
else if( regex_match(a, regOnlyImaginary) && regex_match(b, regOnlyReal) ){ // a only imaginary part & b only real part
for(int i=0;i<a.size()-1;i++)
aI += a[i];
if(op == "*")
return to_string( atoi( b.c_str() ) * atoi( aI.c_str() ) )+"i";
else if(op == "+")
return to_string( atoi( b.c_str() ) + atoi( a.c_str() ) )+"i";
else if(op == "-")
return to_string( atoi( b.c_str() ) + atoi( a.c_str() ) )+"i";
}
else if(regex_match(a, regBoth) && regex_match(b, regOnlyReal)){
for(int i=1;;i++){
if(a[i] == '+' || a[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
aR += a[j];
if(a[i] == '-')
aI += '-';
for(int j=i+1;a[j]!='i';j++) // get imaginary part of a
aI += a[j];
break;
}
}
if(op == "*")
return to_string( atoi(aR.c_str()) * atoi(b.c_str() )) + to_string(atoi( aI.c_str() ) * atoi( b.c_str() ) )+"i";
else if(op == "+")
return to_string( atoi(aR.c_str()) + atoi(b.c_str() )) + to_string(atoi( aI.c_str() ) )+"i";
else if(op == "-")
return to_string( atoi(aR.c_str()) - atoi(b.c_str() )) + to_string(atoi( aI.c_str() ) )+"i";
}
else if(regex_match(a, regBoth) && regex_match(b, regOnlyImaginary)){
for(int i=1;;i++){
if(a[i] == '+' || a[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
aR += a[j];
if(a[i] == '-')
aI += '-';
for(int j=i+1;a[j]!='i';j++) // get imaginary part of a
aI += a[j];
break;
}
}
for(int i=0;i<b.size()-1;i++) // get imaginary part of b
bI += b[i];
if(op == "*")
return to_string( atoi(aI.c_str()) * atoi(bI.c_str())*-1 ) + to_string( atoi(aR.c_str()) * atoi(bI.c_str()) )+"i";
else if(op == "+"){
if( atoi(aI.c_str()) + atoi(bI.c_str()) > 0)
return to_string( atoi(aR.c_str()) ) + "+" + to_string( atoi(aI.c_str()) + atoi(bI.c_str()) )+"i";
return to_string( atoi(aR.c_str()) ) + "-" + to_string( atoi(aI.c_str()) + atoi(bI.c_str()) )+"i";
}
else if(op == "-")
return to_string( atoi(aR.c_str()) ) + to_string( atoi(aI.c_str()) - atoi(bI.c_str()) )+"i";
}
else if(regex_match(a, regOnlyReal) && regex_match(b, regBoth)){
for(int i=1;;i++){
if(b[i] == '+' || b[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
bR += b[j];
if(b[i] == '-')
bI += '-';
for(int j=i+1;b[j]!='i';j++) // get imaginary part of a
bI += b[j];
break;
}
}
if(op == "*")
return to_string( atoi(bR.c_str()) * atoi(a.c_str() )) + to_string(atoi( bI.c_str() ) * atoi( a.c_str() ) )+"i";
else if(op == "+")
return to_string( atoi(aR.c_str()) + atoi(bR.c_str()) ) + to_string( atoi(bI.c_str()) )+"i";
else if(op == "-")
return to_string( atoi(aR.c_str()) - atoi(bR.c_str()) ) + to_string( atoi(bI.c_str())*-1 )+"i";
}
else if(regex_match(a, regOnlyImaginary) && regex_match(b, regBoth)){
for(int i=0;i<a.size()-1;i++) // get imaginary part of a
aI += a[i];
for(int i=1;;i++){
if(b[i] == '+' || b[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
bR += b[j];
if(b[i] == '-')
bI += '-';
for(int j=i+1;b[j]!='i';j++) // get imaginary part of a
bI += b[j];
break;
}
}
if(op == "*"){
if( atoi(bR.c_str()) * atoi(aI.c_str()) > 0)
return to_string( atoi(bI.c_str()) * atoi(aI.c_str())*-1 ) + "+" + to_string( atoi(bR.c_str()) * atoi(aI.c_str()) )+"i";
else if( atoi(bR.c_str()) * atoi(aI.c_str()) == 0 )
return to_string( atoi(bI.c_str()) * atoi(aI.c_str())*-1 );
return to_string( atoi(bI.c_str()) * atoi(aI.c_str())*-1 ) + to_string( atoi(bR.c_str()) * atoi(aI.c_str()) )+"i";
}
else if(op == "+")
return to_string( atoi(bR.c_str()) ) + to_string( atoi(bI.c_str()) + atoi(aI.c_str()) )+"i";
else if(op == "-")
return to_string( atoi(bR.c_str())*-1 ) + to_string( atoi(aI.c_str()) - atoi(bI.c_str()) )+"i";
}
else if(regex_match(a, regBoth) && regex_match(b, regBoth) ){
for(int i=1;;i++){
if(a[i] == '+' || a[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
aR += a[j];
if(a[i] == '-')
aI += '-';
for(int j=i+1;a[j]!='i';j++) // get imaginary part of a
aI += a[j];
break;
}
}
for(int i=1;;i++){
if(b[i] == '+' || b[i] == '-'){
for(int j=0;j<i;j++) // get real part of a
bR += b[j];
if(b[i] == '-')
bI += '-';
for(int j=i+1;b[j]!='i';j++) // get imaginary part of b
bI += b[j];
break;
}
}
int resultR = 0;
int resultI = 0;
if(op == "*"){
resultR = atoi(aR.c_str()) * atoi(bR.c_str()) + atoi(aI.c_str()) * atoi(bI.c_str())*-1;
resultI = atoi(aR.c_str()) * atoi(bI.c_str()) + atoi(bR.c_str()) * atoi(aI.c_str());
if(resultI < 0)
result = to_string(resultR) + to_string(resultI)+"i";
else if(resultI>0)
result = to_string(resultR) + "+" + to_string(resultI)+"i";
else if(resultI == 0)
result = to_string(resultR);
}
else if(op == "+"){
resultR = atoi(aR.c_str()) + atoi(bR.c_str());
resultI = atoi(aI.c_str()) + atoi(bI.c_str());
if(resultI < 0)
result = to_string(resultR) + to_string(resultI)+"i";
else if(resultI>0)
result = to_string(resultR) + "+" + to_string(resultI)+"i";
else if(resultI == 0)
result = to_string(resultR);
}
else if(op == "-"){
resultR = atoi(aR.c_str()) - atoi(bR.c_str());
resultI = atoi(aI.c_str()) - atoi(bI.c_str());
if(resultI < 0)
result = to_string(resultR) + to_string(resultI)+"i";
else if(resultI>0)
result = to_string(resultR) + "+" + to_string(resultI)+"i";
else if(resultI == 0)
result = to_string(resultR);
}
return result;
}
}
int main(){
int num = 1;
// cin>>num;
for(int count=0;count<num;count++){
char temps[] = "(5+3i)*(2-3i)*(5-9i)+216i+(7-3i)*5-(5-2i)*7-13+i-2i*(5-3i)-7i+5";
// cin>>temps;
string s;
for(int i=0;;i++){
if(temps[i] == '\0')
break;
else if(temps[i] == 'i'){
if(temps[i-1] == '+')
s += '1';
else if(temps[i-1] == '-')
s += '1';
}
s += temps[i];
}
cout<<endl<<"s[]: "<<s<<endl;
int lengthOfS = sizeof(temps)/sizeof(temps[0]);
bool flag=false;
string temp="";
vector<string> tempArray;
regex reg("[0-9]*");
for(int i=0;i<lengthOfS+1;i++){
string regString = "";
regString += s[i];
if(s[i] == '(')
flag = true;
else if(s[i] == ')'){
if(temp != "")
tempArray.push_back(temp);
temp = "";
flag = false;
}
else if( (s[i] == '+' || s[i] == '-' || s[i] == '*') && !flag){
if(temp != "")
tempArray.push_back(temp);
temp = s[i];
if(temp != "")
tempArray.push_back(temp);
temp = "";
}
else if( (regex_match(regString, reg) && !flag) || s[i] == 'i') // s[i] is number
temp += s[i];
if(flag)
if(s[i] != '(' && s[i] != 'i')
temp += s[i];
if(i==lengthOfS){
if(temp != "")
tempArray.push_back(temp);
}
}
cout<<"---- tempArray: "<<endl;
for(int i=0;i<tempArray.size();i++){
cout<<i<<": "<<tempArray[i]<<endl;
}
for(int i=0;i<tempArray.size();i++){ // scan mul first
if(tempArray[i] == "*"){
tempArray[i-1] = cal(tempArray[i-1], "*", tempArray[i+1]);
for(int j=i;j<tempArray.size()-2;j++) // move [j+2] to [j]
tempArray[j] = tempArray[j+2];
tempArray.resize(tempArray.size()-2);
i -= 1;
cout<<"--"<<endl;
for(int i=0;i<tempArray.size();i++)
cout<<i<<": "<<tempArray[i]<<endl;
continue;
}
}
for(int i=0;i<tempArray.size();i++){ // scan +, -
if(tempArray[i] == "+" || tempArray[i] == "-"){
tempArray[i-1] = cal(tempArray[i-1], tempArray[i], tempArray[i+1]);
for(int j=i;j<tempArray.size()-2;j++) // move [j+2] to [j]
tempArray[j] = tempArray[j+2];
tempArray.resize(tempArray.size()-2);
i -= 1;
cout<<"--"<<endl;
for(int i=0;i<tempArray.size();i++)
cout<<i<<": "<<tempArray[i]<<endl;
}
}
// -- print Complex Number --
ComplexNumber r;
if( regex_match(tempArray[0], regOnlyReal)){
string aR = tempArray[0];
r.setReal(atoi(aR.c_str()));
}
else if( regex_match(tempArray[0], regOnlyImaginary) ){
string aI = "";
for(int i=0;i<tempArray[0].size()-1;i++)
aI += tempArray[0][i];
r.setImaginary(atoi(aI.c_str()));
}
else if( regex_match(tempArray[0], regBoth) ){
string aR = "";
string aI = "";
for(int i=1;;i++){
if(tempArray[0][i] == '+' || tempArray[0][i] == '-'){
for(int j=0;j<i;j++) // get real part of a
aR += tempArray[0][j];
if(tempArray[0][i] == '-')
aI += '-';
for(int j=i+1;tempArray[0][j]!='i';j++) // get imaginary part of a
aI += tempArray[0][j];
break;
}
}
r.setReal(atoi(aR.c_str()));
r.setImaginary(atoi(aI.c_str()));
}
if( r.getReal() == 0 && r.getImaginary() == 0){
cout<<"0";
}
else if(r.getReal() == 0){
if(r.getImaginary() == 1)
cout<<"i";
else if(r.getImaginary() == -1)
cout<<"-i";
else
cout<<r.getImaginary()<<"i";
}
else if(r.getImaginary() == 0){
cout<<r.getReal();
}
else{
if(r.getImaginary() == 1)
cout<<"("<<r.getReal()<<"+"<<"i"<<")";
else if(r.getImaginary() == -1)
cout<<"("<<r.getReal()<<"-"<<"i"<<")";
else{
if(r.getImaginary() > 1){
cout<<"("<<r.getReal()<<"+"<<r.getImaginary()<<"i"<<")";
}
else if(r.getImaginary() < 1){
cout<<"("<<r.getReal()<<r.getImaginary()<<"i"<<")";
}
}
}
cout<<endl;
}
return 0;
}