Your task in this homework assignment is to refactor a program using the struct construct to analyze and manipulate points.

Solution Specifications

Your solution to this problem must meet the following criteria.

1. Define two data structures, one for a cartesian point CartesianPoint and another for a polar point PolarPoint.
2. Replace the code that uses (x,y) with code using a cartesian point structure.
3. Replace the code that uses (r,t) with code using a polar point structure.
4. When you can return a single structure from a function do so (rather than using pass-by-reference to get to multiple values).
5. After updating the functions, the following should true about each function:
   • CartesianToPolar should take a cartesian point as a parameter and return a polar point.
   • PolarToCartesian should take a polar point as a parameter and return a cartesian point.
   • LengthC should take a cartesian point as a parameter and return a double.
   • NormalizedC should take a cartesian point point as a parameter and return a cartesian point.
   • DotProductC should take two cartesian points as parameters and return a double.
   • SumC should take two cartesian points as parameters and return a return a cartesian point.

You must product output matching the existing output, but change the internals of the code.

USING C++ LANGUAGE: In file main.cpp

IN file points.cpp

In file points.h

Edit points.cpp and possibly points.h for struct construct

#include "points.h" * /*==================================================================== * Main program */ int main() { double x1 = 1.0, y1 = 2.0; cout // for cin and cout #include // for trig functions using namespace std; #include "points.h" void CartesianTopolar(double x, double y, double &radius, double &theta) { radius = sqrt(pow(x, 2) + powly, 2)); theta = atan2(y, x); 20 void PolarToCartesian(double radius, double theta, double &x, double &y) { x = radius * cos(theta); y = radius * sin(theta); } 26 double Lengthc(double x, double y) { return (sqrt(pow(x, 2.0) + powly, 2.0))); } void Normalizedc(double xIn, double yIn, double exOut, double &yout) { double length = Length (xIn, yin); xOut = xin / length; yout = yIn / length; } 34 35 36 double DotProductC(double firstx, double firsty, double secondx, double seconde) { return (firstx * secondx + firsty * seconde) } 39 void Sumc(double firstx, double firsty, double secondx, double seconde, double &resultx, double &resulty) {/ resultx = firstx + secondx; resulty = firsty + secondy: } 44 45 #ifndef POINTS_H #define POINTS_H // function declarations (prototypes) void CartesianToPolar(double x, double y, double &radius, double &theta); void PolarToCartesian(double radius, double theta, double &x, double &y); double Lengthc(double x, double y); void Normalizedc(double xIn, double yin, double &xOut, double &yout); double DotProductc(double firstx, double firsty, double secondx, double seconde); void Sumc(double firstx, double firsty, double secondx, double seconde, double &resultx, double &resulty); 21 24 #endif // POINTS_H 25