lcmath.h

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#pragma once

#include "cad/geometry/geocoordinate.h"
#include <iostream>
#include <complex>
#include <float.h>
#include <vector>
namespace lc {
    class Math {
        public:
            static bool isAngleBetween(double a,
                                       double start, double end,
                                       bool CCW);

            static double correctAngle(double a);

            static double getAngleDifferenceShort(double a1, double a2, bool CCW) ;

            static double getAngleDifference(double a1, double a2, bool CCW) ;

            static std::vector<double> quadraticSolver(const std::vector<double>& ce);

            static std::vector<double> cubicSolver(const std::vector<double>& ce);
            static std::vector<double> quarticSolver(const std::vector<double>& ce);
            static std::vector<double> sexticSolver(const std::vector<double>& ce);
            static std::vector<double> quarticSolverFull(const std::vector<double>& ce);

            /* solve the following quadratic simultaneous equations,
                      *  ma000 x^2 + ma011 y^2 - 1 =0
                      * ma100 x^2 + 2 ma101 xy + ma111 y^2 + mb10 x + mb11 y +mc1 =0
                      *
                      *@m, a vector of size 8 contains coefficients in the strict order of:
                      ma000 ma011 ma100 ma101 ma111 mb10 mb11 mc1
                      *@return a std::vector<lc::geo::Coordinate> contains real roots (x,y)
                      */
            static std::vector<lc::geo::Coordinate> simultaneousQuadraticSolver(const std::vector<double>& m);

            /* solve the following quadratic simultaneous equations,
                      * ma000 x^2 + ma001 xy + ma011 y^2 + mb00 x + mb01 y + mc0 =0
                      * ma100 x^2 + ma101 xy + ma111 y^2 + mb10 x + mb11 y + mc1 =0
                      *
                  *@m, a vector of size 2 each contains a vector of size 6 coefficients in the strict order of:
                  ma000 ma001 ma011 mb00 mb01 mc0
                  ma100 ma101 ma111 mb10 mb11 mc1
                      *@return a std::vector<lc::geo::Coordinate> contains real roots (x,y)
                      */
            static bool simultaneousQuadraticVerify(const std::vector<std::vector<double> >& m, const geo::Coordinate& v);
            static std::vector<lc::geo::Coordinate> simultaneousQuadraticSolverFull(const std::vector<std::vector<double> >& m);
            static std::vector<lc::geo::Coordinate> simultaneousQuadraticSolverMixed(const std::vector<std::vector<double> >& m);
    };
}

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