Question

EXPLAIN HOW THIS PROGRAM WORKS, USING DEV C++

#include <iostream>
#include <cmath>

#define PI 3.1415926535897

using namespace std;

typedef struct ComplexRectStruct {
   double real;
   double imaginary;
} ComplexRect;

typedef struct ComplexPolarStruct {
   double magnitude;
   double angle;
} ComplexPolar;

double radToDegree (double rad) {
   return (180.00 * rad) / PI;
}

double degToRadian (double deg) {
   return (deg * PI) / 180;
}

ComplexPolar toPolar (ComplexRect r) {
   ComplexPolar p;
   p.magnitude = round(sqrt(pow(r.real, 2.0) + pow(r.imaginary, 2.0)));
   p.angle = round(radToDegree(atan(r.imaginary / r.real)));
  
   return p;
}

ComplexRect toRect (ComplexPolar p) {
   ComplexRect r;
   r.real = round(p.magnitude * cos(degToRadian(p.angle)));
   r.imaginary = round(p.magnitude * sin(degToRadian(p.angle)));
  
   return r;
}

void displayRect (ComplexRect r) {
   cout << r.real << " + " << r.imaginary << "i";
}

void displayPolar (ComplexPolar p) {
   cout << p.magnitude << "(cos(" << p.angle << (char) 248 << ") + isin(" << p.angle << (char) 248 << "))";
}

void addComplexRect(ComplexRect *pC1, ComplexRect *pC2, ComplexRect *pSum) {
   pSum->real = pC1->real + pC2->real;
   pSum->imaginary = pC1->imaginary + pC2->imaginary;
}

void multComplexRect(ComplexRect *pC1, ComplexRect *pC2, ComplexRect *pProd) {
   pProd->real = (pC1->real * pC2->real) - (pC1->imaginary * pC2->imaginary);
   pProd->imaginary = (pC1->real * pC2->imaginary) + (pC1->imaginary * pC2->real);
}

int main () {
   ComplexRect r0, r1, r2;
   ComplexPolar p0, p1, p2;
   int operation_done = 0, choice0, is_polar = 0;
  
   r0.real = 1;
   r0.imaginary = 2;
  
   r1.real = 3;
   r1.imaginary = 4;
  
   r2.real = 1;
   r2.imaginary = 1;
  
   p0 = toPolar(r0);
   p1 = toPolar(r1);
   p2 = toPolar(r2);
  
   do {
       system("cls");
       cout << "1 Edit the First Complex Number" << endl;
       cout << "2 Edit the Second Complex Number" << endl;
       cout << "3 Addition" << endl;
       cout << "4 Multiplication" << endl;
       cout << "5 Display All" << endl;
       if (is_polar)
           cout << "[6] Change Form: Rectangular" << endl;
       else
           cout << "[6] Change Form: Polar" << endl;
       cout << "[7] Exit" << endl;
       cout << ">> ";
       cin >> choice0;
      
       cout << endl;
       switch (choice0) {
           case 1:
               if (!is_polar) {
                   cout << "Real Part (Current: " << r0.real << "): ";
                   cin >> r0.real;
              
                   cout << "Imaginary Part (Current: " << r0.imaginary << "): ";
                   cin >> r0.imaginary;
                  
                   p0 = toPolar(r0);
               } else {
                   cout << "Magnitude Part (Current: " << p0.magnitude << "): ";
                   cin >> p0.magnitude;
              
                   cout << "Angle Part (Current: " << p0.angle << (char) 248 << "): ";
                   cin >> p0.angle;
                  
                   r0 = toRect(p0);
               }
              
               cout << "Note: Succesfully updated the first complex number." << endl;
               system("pause");
               break;
           case 2:
               if (!is_polar) {
                   cout << "Real Part (Current: " << r1.real << "): ";
                   cin >> r1.real;
              
                   cout << "Imaginary Part (Current: " << r1.imaginary << "): ";
                   cin >> r1.imaginary;
                  
                   p1 = toPolar(r1);
               } else {
                   cout << "Magnitude Part (Current: " << p1.magnitude << "): ";
                   cin >> p1.magnitude;
              
                   cout << "Angle Part (Current: " << p1.angle << (char) 248 << "): ";
                   cin >> p1.angle;
                  
                   r1 = toRect(p1);
               }
              
               cout << "Note: Succesfully updated the second complex number." << endl;
               system("pause");
               break;
           case 3:
               operation_done = 1;
               addComplexRect(&r0, &r1, &r2);
               p2 = toPolar(r2);
              
               cout << "Note: Succesfully added the first and second complex number." << endl;
               system("pause");
               break;
           case 4:
               operation_done = 1;
               multComplexRect(&r0, &r1, &r2);
               p2 = toPolar(r2);
              
               cout << "Note: Succesfully multiplied the first and second complex number." << endl;
               system("pause");
               break;
           case 5:
               cout << "Complex Number #1: ";
               if (!is_polar)
                   displayRect(r0);
               else
                   displayPolar(p0);
               cout << endl;
                  
               cout << "Complex Number #2: ";
               if (!is_polar)
                   displayRect(r1);
               else
                   displayPolar(p1);
               cout << endl;
              
               if (operation_done) {
                   cout << "Complex Number #3: ";
               if (!is_polar)
                   displayRect(r2);
               else
                   displayPolar(p2);
                   cout << endl;
               }
              
               system("pause");
               break;
           case 6:
               is_polar = !is_polar;
               break;
           case 7: break;
           default:
               cout << "Invalid Option" << endl;
               system("pause");
       }
   } while (choice0 != 7);
  
   return 0;
}

Answer 1

This program is basically used to calculate operation on Complex number using object oriented way - I have added comment through the code for your explaination pls check the code via comments

#include <iostream>

#include <cmath>

//declare the constant value of pie

#define PI 3.1415926535897

using namespace std;

//complex number rectangle structure define

typedef struct ComplexRectStruct {

double real;

double imaginary;

} ComplexRect;

//complex number polar structure define

typedef struct ComplexPolarStruct {

double magnitude;

double angle;

} ComplexPolar;

//function to convert radian to degree

double radToDegree (double rad) {

return (180.00 * rad) / PI;

}

//function to convert degree to radian

double degToRadian (double deg) {

return (deg * PI) / 180;

}

//function converts complex number rectangle to complex number polar

//this take ComplexRect struct as input parameter and return ComplexPolar number

ComplexPolar toPolar (ComplexRect r) {

//variable declare complex polar

ComplexPolar p;

//calculate the magnitude and angle

p.magnitude = round(sqrt(pow(r.real, 2.0) + pow(r.imaginary, 2.0)));

p.angle = round(radToDegree(atan(r.imaginary / r.real)));

//return the calculate value

return p;

}

//function converts complex number polar to complex number rectangle

//this take ComplexPolar struct as input parameter and return ComplexRect number

ComplexRect toRect (ComplexPolar p) {

ComplexRect r;

r.real = round(p.magnitude * cos(degToRadian(p.angle)));

r.imaginary = round(p.magnitude * sin(degToRadian(p.angle)));

return r;

}

//function to display complex rect this take complex rect as input parameter

void displayRect (ComplexRect r) {

cout << r.real << " + " << r.imaginary << "i";

}

//function to display complex polar this take complex polar as input parameter

void displayPolar (ComplexPolar p) {

cout << p.magnitude << "(cos(" << p.angle << (char) 248 << ") + isin(" << p.angle << (char) 248 << "))";

}

//function to add 2 complex number rect

void addComplexRect(ComplexRect *pC1, ComplexRect *pC2, ComplexRect *pSum) {

pSum->real = pC1->real + pC2->real;

pSum->imaginary = pC1->imaginary + pC2->imaginary;

}

//function to multiply 2 complex number rect

void multComplexRect(ComplexRect *pC1, ComplexRect *pC2, ComplexRect *pProd) {

pProd->real = (pC1->real * pC2->real) - (pC1->imaginary * pC2->imaginary);

pProd->imaginary = (pC1->real * pC2->imaginary) + (pC1->imaginary * pC2->real);

}

//driver function , execution start from here

int main () {

//decalre ComplexRect struct variable

ComplexRect r0, r1, r2;

//decalre ComplexPolar struct variable

ComplexPolar p0, p1, p2;

int operation_done = 0, choice0, is_polar = 0;

//declare initial value to ComplexRect struct variable

r0.real = 1;

r0.imaginary = 2;

r1.real = 3;

r1.imaginary = 4;

r2.real = 1;

r2.imaginary = 1;

//converting to polar complex struct using toPolar method

p0 = toPolar(r0);

p1 = toPolar(r1);

p2 = toPolar(r2);

//menu driven program

do {

//ask user for his choice to perform operation

system("cls");

cout << "1 Edit the First Complex Number" << endl;

cout << "2 Edit the Second Complex Number" << endl;

cout << "3 Addition" << endl;

cout << "4 Multiplication" << endl;

cout << "5 Display All" << endl;

if (is_polar)

cout << "[6] Change Form: Rectangular" << endl;

else

cout << "[6] Change Form: Polar" << endl;

cout << "[7] Exit" << endl;

cout << ">> ";

cin >> choice0;

cout << endl;

//put user choice in a switch case

switch (choice0) {

//case 1 Edit the First Complex Number

case 1:

if (!is_polar) {

//take the value from user and replace it

cout << "Real Part (Current: " << r0.real << "): ";

cin >> r0.real;

cout << "Imaginary Part (Current: " << r0.imaginary << "): ";

//take the value from user and replace it

cin >> r0.imaginary;

p0 = toPolar(r0);

} else {

cout << "Magnitude Part (Current: " << p0.magnitude << "): ";

//take the value from user and replace it

cin >> p0.magnitude;

cout << "Angle Part (Current: " << p0.angle << (char) 248 << "): ";

//take the value from user and replace it

cin >> p0.angle;

r0 = toRect(p0);

}

cout << "Note: Succesfully updated the first complex number." << endl;

system("pause");

break;

//this is to Edit the Second Complex Number

case 2:

if (!is_polar) {

cout << "Real Part (Current: " << r1.real << "): ";

//take the value from user and replace it

cin >> r1.real;

cout << "Imaginary Part (Current: " << r1.imaginary << "): ";

//take the value from user and replace it

cin >> r1.imaginary;

p1 = toPolar(r1);

} else {

cout << "Magnitude Part (Current: " << p1.magnitude << "): ";

//take the value from user and replace it

cin >> p1.magnitude;

cout << "Angle Part (Current: " << p1.angle << (char) 248 << "): ";

//take the value from user and replace it

cin >> p1.angle;

r1 = toRect(p1);

}

cout << "Note: Succesfully updated the second complex number." << endl;

system("pause");

break;

//perform adddition on complex numver

case 3:

operation_done = 1;

//call function to perform addition

addComplexRect(&r0, &r1, &r2);

//convert addition to polar form

p2 = toPolar(r2);

cout << "Note: Succesfully added the first and second complex number." << endl;

system("pause");

break;

//perform multiplicaiton on complex numbers

case 4:

operation_done = 1;

//call function to perform multiplicaiton

multComplexRect(&r0, &r1, &r2);

//convert to polar form

p2 = toPolar(r2);

cout << "Note: Succesfully multiplied the first and second complex number." << endl;

system("pause");

break;

//diplay all the complex numbers

case 5:

cout << "Complex Number #1: ";

if (!is_polar)

displayRect(r0);

else

displayPolar(p0);

cout << endl;

cout << "Complex Number #2: ";

if (!is_polar)

displayRect(r1);

else

displayPolar(p1);

cout << endl;

if (operation_done) {

cout << "Complex Number #3: ";

if (!is_polar)

displayRect(r2);

else

displayPolar(p2);

cout << endl;

}

system("pause");

break;

//this is change polar to rect and rect to polar

case 6:

is_polar = !is_polar;

break;

case 7: break;

default:

cout << "Invalid Option" << endl;

system("pause");

}

} while (choice0 != 7);

return 0;

}