如何使用C++构建一个极坐标系?

#include <iostream>
#include <string>
#include <vector>
#include <cmath>

//Polar coordinate system

using Point = std::pair<double, double>;

//https://developers.google.com/maps/documentation/javascript/coordinates
class PolarTransform
{
public:
	PolarTransform()
		:m_origin{ 0,0 } 
	{

	}

	Point pixelToPixelScreenCoordinate(Point point) {

	}
	/*!
		极坐标=>平面坐标
	*/
	Point polarToCartesian(double radius/*极径*/,double degrees/*极角*/) {
		auto x = radius * std::cos(degressToRadians(degrees));//x = ρcosθ
		auto y = radius * std::sin(degressToRadians(degrees));//y = ρsinθ
		std::cout << "polarToCartesian:[" << x << "," << y << "]" << std::endl;
		return { x,y };
	}
	/*!
		计算方位角，即与 x 轴的夹角
		计算平面上任一点P的极坐标(极径,极角)
	*/
	void calcIncludedAngle(Point point, double &radius/*极径*/, double &degrees/*极角*/,bool ifCalcQuadrant) {
		auto abs_x = std::abs(point.first - m_origin.first);
		auto abs_y = std::abs(point.second - m_origin.second);
		radius = std::hypot(abs_x, abs_y);
		degrees = radiansToDegress(std::atan2(abs_y, abs_x));
		
		if (ifCalcQuadrant) {
			if (point.first > m_origin.first && point.second > m_origin.second) {//1
			} else if (point.first < m_origin.first && point.second > m_origin.second) {//2
				degrees = 180 - degrees;
			} else if (point.first < m_origin.first && point.second < m_origin.second) {//3
				degrees = 180 + degrees;
			} else if (point.first > m_origin.first && point.second < m_origin.second) {//4
				degrees = 360 - degrees;
			}
		}

		std::cout << "calcIncludedAngle:[" << radius << "," << degrees << "]" << std::endl;
	}
	/*!将度数转换为弧度*/
	inline double degressToRadians(double degress) {
		constexpr double unit_degress = 3.14159265358979323846 / 180;//单位度
		return degress * unit_degress;
	}

	/*!将弧度转换为度*/
	inline double radiansToDegress(double radians) {
		constexpr double unit_radians = 180 / 3.14159265358979323846;//单位弧度
		return radians * unit_radians;
	}
private:
	Point m_origin;
};