ray.hh

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#ifndef RAY_H_
#define RAY_H_

//class Ray:
class Vector;
class IceModel;
class Settings;
class Anita;
class Position;
class Signal;

#include <iostream>
#include <cmath>


using std::cout;
class Ray {
    
private:
    
protected:
    
    
    
public:
    Ray();
    void Initialize();
    
    Vector n_exit2bn[5]; // normal vector in direction of exit point to balloon - 5 iterations, 3 directions for each 
    Vector nsurf_rfexit; // normal of the surface at the place where the rf leaves
    Vector nsurf_rfexit_db;
    Vector nrf_iceside[5];  // direction of rf [tries][3d]
    
    Vector nrf_iceside_eachboresight[5][Anita::NLAYERS_MAX][Anita::NPHI_MAX];  // direction of rf [tries][3d]
    Vector n_exit2bn_eachboresight[5][Anita::NLAYERS_MAX][Anita::NPHI_MAX];
    Position rfexit_eachboresight[5][Anita::NLAYERS_MAX][Anita::NPHI_MAX];
    
    Position rfexit_db[5];
    Position rfexit[5]; // position where the rf exits the ice- 5 iterations, 3 dimensions each
    
    
    double sum_slopeyness; // for summing the average slopeyness
    //double sum_slopeyness=0; // for summing the average slopeyness
    double slopeyx,slopeyy,slopeyz;
    
    void PrintAnglesofIncidence();
    
    int GetRayIceSide(const Vector &n_exit2bn,
              const Vector &nsurf_rfexit,
              double nexit,
              double nenter,
              Vector &nrf2_iceside);
    
    int TraceRay(Settings *settings1,Anita *anita1,int whichiteration,double n_depth);
    
    
    int GetSurfaceNormal(Settings *settings1,IceModel *antarctica,Vector posnu,double &slopeyangle,int whichtry);
    
    int RandomizeSurface(Settings *settings1,Position rfexit_temp,Vector posnu,IceModel *antarctica,double &slopeyangle,int whichtry);
    
    
    void GetRFExit(Settings *settings1,Anita *anita1,int whichray,Position posnu,Position posnu_down,Position r_bn,Position r_boresights[Anita::NLAYERS_MAX][Anita::NPHI_MAX],int whichtry,IceModel *antarctica);
    
    //  void WhereDoesItLeave(const Position &posnu,
    //                const Vector &nnu,Position &r_out);
    
    //  static void WhereDoesItLeave(const Position &posnu,
    //             const Vector &nnu,Position &r_out);
    
    static int WhereDoesItLeave(const Position &posnu, const Vector &ntemp,IceModel *antarctica, Position &r_out) {
                double distance=0;
                double posnu_length=posnu.Mag(); // distance from center of earth to interaction
                double lon,lat;//,lon_old,lat_old; //latitude, longitude indices for 1st and 2nd iteration
                lon = posnu.Lon(); // what latitude, longitude does interaction occur at
                lat = posnu.Lat();
                // lon_old=lon; // save this longitude and latitude so we can refer to it later
                // lat_old=lat;

                // use law of cosines to get distance from interaction to exit point for the ray
                // need to solve for that distance using the quadratic formula

                // angle between posnu and ntemp vector for law of cosines.
                double costheta=-1*(posnu*ntemp)/posnu_length;

                // a,b,c for quadratic formula, needed to solve for 
                double a=1;
                double b=-1*2*posnu_length*costheta;
                double c=posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2);

                if (b*b-4*a*c<0.) {
                    return 0;
                }

                // use the "+" solution because the other one is where the ray is headed downward toward the rock
                distance=(-1*b+sqrt(b*b-4*a*c))/2;
                
                // now here is the exit point for the ray
                r_out = posnu + distance*ntemp;
                
                lon = r_out.Lon(); // latitude and longitude of exit point
                lat = r_out.Lat();
                
                c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                // sometimes though the new surface is lower than the one over posnu which causes a problem.
                if (b*b-4*a*c<0.) {
                    //cout << "inu is " << inu << "\n";  
                    // try halving the distance
                    distance=distance/2.;
                    //cout << "bad.  distance 1/2 is " << distance << "\n";
                    r_out = posnu + distance*ntemp;
                    lon = r_out.Lon(); // latitude and longitude of exit point
                    lat = r_out.Lat();
                    c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                if (b*b-4*a*c<0.) { // if we still have the problem back up more
                        distance=distance/2.; // now we are at 1/4 the distance
                        //cout << "bad.  distance 1/4 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4*a*c<0.) { // the problem is less then 1/4 of the way in
                        distance=distance/2.; // now we are at 1/8 the distance
                        //cout << "bad.  distance 1/8 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4*a*c<0.) {
                                // still have the problem so just make the distance 0
                                distance=0.; // now we are at 1/8 the distance
                                //cout << "bad.  distance is " << distance << "\n";
                                lon = posnu.Lon(); // latitude and longitude of exit point
                                lat = posnu.Lat();
                                r_out=antarctica->Surface(lon,lat)/posnu.Mag()*posnu;
                        }
                        } // now we are at 1/8 the distance
                        else {// if this surface is ok problem is between 1/4 and 1/2
                        distance=distance*1.5; // now we are at 3/8 the distance
                        //  cout << "good.  distance 3/8 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4.*a*c<0.) {
                                distance=distance*2./3.; // go back to 1/4
                                r_out = posnu + distance*ntemp;
                                lon = r_out.Lon(); // latitude and longitude of exit point
                                lat = r_out.Lat();
                                c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                                //cout << "good at distance 1/4 is " << distance << "\n";
                        }
                        } // now we are at 3/8 the distance
        
        
                } // now we are at 1/4 the distance
                else { // if this surface at 1/2 distance is ok see if we can go a little further
                        distance=distance*1.5; // now we are at 3/4 the distance
                        //cout << "good.  distance 3/4 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4*a*c<0.) { // the problem is between 1/2 and 3/4 of the way in
                        distance=distance*5./6.; // now we are at 5/8 the distance
                        //cout << "bad.  distance 5/8 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4*a*c<0.) {
                                distance=distance*4./5.;
                                r_out = posnu + distance*ntemp;
                                lon = r_out.Lon(); // latitude and longitude of exit point
                                lat = r_out.Lat();
                                c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                                //cout << "good at distance 3/4 is " << distance << "\n";
                        }
                        } // now we are at 1/8 the distance
                        else {// if this surface is ok problem is between 1/4 and 1/2
                        distance=distance*7./6.; // now we are at 7/8 the distance
                        //cout << "good.  distance 7/8 is " << distance << "\n";
                        r_out = posnu + distance*ntemp;
                        lon = r_out.Lon(); // latitude and longitude of exit point
                        lat = r_out.Lat();
                        c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        if (b*b-4*a*c<0) {
                                // now found the problem so go back to 3/4 distance
                                distance=distance*6./7.;
                                //cout << "good at  distance 3/4 is " << distance << "\n";
                                r_out = posnu + distance*ntemp;
                                lon = r_out.Lon(); // latitude and longitude of exit point
                                lat = r_out.Lat();
                                c = posnu_length*posnu_length - pow(antarctica->Surface(lon,lat),2); // redo the law of cosines
                        }
                        } // now we are at 3/8 the distance
                } // now we are at 3/4 distance
                } // if exit point we initially found was not ok
                else {
                distance=(-1*b+sqrt(b*b-4*a*c))/2; // and quadratic formula
                r_out = posnu + distance*ntemp;
                }
                return 1;
        }
    
    
    
    Vector xaxis;
    Vector yaxis;
    Vector zaxis;
}; //class Ray


#endif