#include <iostream>
#include <stdio.h>
#include <TObject.h>
#include <TString.h>
#include <TMatrixD.h>

#include <OrientationInfo.h>

ClassImp(OrientationInfo)


using namespace std;

OrientationInfo::OrientationInfo() : TObject(){
    a = 360/(2*TMath::Pi());
    Re = 6000000;
}

OrientationInfo::~OrientationInfo(){
}

TMatrixD OrientationInfo::QuatoECI(Float_t q0, Float_t q1, Float_t q2, Float_t q3){
    TMatrixD Pij(3,3);
    Pij(0,0) = pow(q0,2)+pow(q1,2)-pow(q2,2)-pow(q3,2);
    Pij(0,1) = /*2*(q1*q2+q0*q3);/*/ 2*(q1*q2-q0*q3);
    Pij(0,2) = /*2*(q1*q3-q0*q2);/*/ 2*(q1*q3+q0*q2);
    Pij(1,0) = /*2*(q1*q2-q0*q3);/*/ 2*(q1*q2+q0*q3);
    Pij(1,1) = pow(q0,2)-pow(q1,2)+pow(q2,2)-pow(q3,2);
    Pij(1,2) = /*2*(q2*q3+q0*q1);/*/ 2*(q2*q3-q0*q1);
    Pij(2,0) = /*2*(q1*q3+q0*q2);/*/ 2*(q1*q3-q0*q2);
    Pij(2,1) = /*2*(q2*q3-q0*q1);/*/ 2*(q2*q3+q0*q1);
    Pij(2,2) = pow(q0,2)-pow(q1,2)-pow(q2,2)+pow(q3,2);
    return Pij;
}

TMatrixD OrientationInfo::ECItoGreenwich(TMatrixD Aij, UInt_t t){
    TMatrixD Gij(3,3);
    Double_t omg = (7.292115e-5)*a; 			// Earth rotation velosity (Around polar axis);
    Double_t d = (t-10957*86400-43200); 		     //Number of day, passing from 01/01/2000 12:00:00 to t;
    d = d/86400;
    Double_t T = d/36525;				     //Number of Julian centuries;
    
    Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*pow(T,2)-(6.2e-6)*pow(T,3);

    Int_t tr = (t-10957*86400)%86400;

    Double_t Somg = (Se+49.077+omg*86400*tr/360)*360/86400;

    //Somg = 25; //for test transition

    Gij(0,0) = cos(Somg/a);
    Gij(0,1) = -sin(Somg/a);
    Gij(0,2) = 0;
    Gij(1,0) = sin(Somg/a);
    Gij(1,1) = cos(Somg/a);
    Gij(1,2) = 0;
    Gij(2,0) = 0;
    Gij(2,1) = 0;
    Gij(2,2) = 1;
    Gij.Invert();
    return Gij*Aij;
}

TMatrixD OrientationInfo::GreenwichtoGEO(Double_t lat, Double_t lon, TMatrixD Aij){

    TMatrixD Gij(3,3);
    TMatrixD Fij(3,3);

    lon=(-lon)/a; lat=(-lat)/a;   // here has the same result as Gij.Invert() in ECItoGreenwich function

    Gij(0,0) = cos(lon);	// rotation around z-axis:
    Gij(0,1) = -sin(lon);
    Gij(0,2) = 0;		//	| cos(lon) 	-sin(lon)	0|
    Gij(1,0) = sin(lon);	//	| sin(lon) 	cos(lon)	0|
    Gij(1,1) = cos(lon);	//	|   0			0	1|
    Gij(1,2) = 0;
    Gij(2,0) = 0;
    Gij(2,1) = 0;
    Gij(2,2) = 1;
    
    Fij(0,0) = cos(lat);	// rotation around y-axis at angle -lat, cause rotation around y from x to z axis is negative
    Fij(0,1) = 0;		//
    Fij(0,2) = -sin(lat);	//	|cos(-lat)	0	sin(-lat)|		|cos(lat)	0	-sin(lat)|
    Fij(1,0) = 0;		//	|	0	1		0 |	==>	|	0	1		0 |
    Fij(1,1) = 1;		//	|-sin(-lat)	0	cos(-lat)|		|sin(lat)	0	cos(lat) |
    Fij(1,2) = 0;
    Fij(2,0) = sin(lat);
    Fij(2,1) = 0;
    Fij(2,2) = cos(lat);

    return Fij*(Gij*Aij);
}

TMatrixD OrientationInfo::GEOtoGeomag(TMatrixD Aij,Double_t Bnorth, Double_t Beast, Double_t Bup){	//Geomagnetic geodetic reference frame
	Double_t alpha = 0;
	if(Beast==0. && Bnorth>0) alpha = 0; else
	if(Beast==0. && Bnorth<0) alpha = 180.; else{
		if(Beast > 0) alpha = TMath::ATan(Bnorth/Beast)*TMath::RadToDeg() - 90.;
		if(Beast < 0) alpha = TMath::ATan(Bnorth/Beast)*TMath::RadToDeg() + 90.;
	}
	alpha = alpha*TMath::DegToRad();
	Double_t beta = TMath::ATan(Bup/sqrt(pow(Bnorth,2)+pow(Beast,2)));
	//if(Bup<0.0) beta = TMath::ATan(TMath::Abs(Bup/sqrt(pow(Bnorth,2)+pow(Beast,2))));
	//if(Bup>0.0) beta = TMath::ATan(TMath::Abs(sqrt(pow(Bnorth,2)+pow(Beast,2))/Bup));
	//cout<<"GEOtomag:alpha = "<<alpha*TMath::RadToDeg()<<"\tbeta = "<<beta*TMath::RadToDeg()<<endl;
	TMatrixD Gij(3,3);
    	TMatrixD Fij(3,3);
	Gij(0,0) = 1;			//rotation around x-axis at angle alpha
	Gij(0,1) = 0;
	Gij(0,2) = 0;			//	|1		0		0	|
	Gij(1,0) = 0;			//	|0	cos(alpha)	-sin(alpha)	|
	Gij(1,1) = cos(alpha);	//	|0	sin(alpha)	cos(alpha)	|
	Gij(1,2) = -sin(alpha);
	Gij(2,0) = 0;
	Gij(2,1) = sin(alpha);
	Gij(2,2) = cos(alpha);
	Gij.Invert();
	Fij(0,0) = cos(beta);	//rotation around y-axis at angle beta
	Fij(0,1) = 0;
    	Fij(0,2) = sin(beta);	//	|cos(beta)	0	sin(beta)|
    	Fij(1,0) = 0;			//	|	0	1		0 |
    	Fij(1,1) = 1;			//	|-sin(beta)	0	cos(beta)|
    	Fij(1,2) = 0;
    	Fij(2,0) = -sin(beta);
    	Fij(2,1) = 0;
    	Fij(2,2) = cos(beta);
	Fij.Invert();
	//Int_t tri;
	//cin >> tri;
	return Fij*(Gij*Aij);
}

TMatrixD OrientationInfo::PamelatoGEO(TMatrixD Aij, Double_t B1, Double_t B2, Double_t B3){
    //TMatrixD Gij(3,3);
    TMatrixD Hij(3,1);
    TMatrixD Bij(3,1);
    Bij(0,0) = B1;
    Bij(1,0) = B2;
    Bij(2,0) = B3;
    Hij=Aij*Bij;
    return Hij;
}

TMatrixD OrientationInfo::ColPermutation(TMatrixD Aij){
    TMatrixD Gij(3,3);
    Gij(0,0) = 1; Gij(0,1) = 0; Gij(0,2) = 0;
    Gij(1,0) = 0; Gij(1,1) = 0; Gij(1,2) = 1;
    Gij(2,0) = 0; Gij(2,1) = -1; Gij(2,2) = 0;
    return Aij*Gij;
}

Float_t OrientationInfo::Larmor(Float_t Ek,Float_t Bm,Int_t iZ,Float_t xA){  //Ek in MeV, Bm in nT, Pitch-angle, rad
    Float_t mp = 938.272029;	Float_t amu = 931.494043e0;
    Float_t cc = 299792458.;
    Float_t ee = 1.60217653e-19;
    Float_t kg = 1.7826619e-30;
    Float_t gam = (Ek+mp)/mp;
    Float_t mm = mp*kg;
    Float_t omega = iZ*ee*Bm*1e-9/(gam*mm);
    Float_t larmor = 1e-3*sqrt(1e0-1e0/pow(gam,2))*cc/omega;
    larmor = 1e-3*Ek*cc/omega; //Ek here is p or for onecharged particle R;
    return larmor;
}

TMatrixD OrientationInfo::GetDirectiontoGirocenter(Float_t R, Float_t Px, Float_t Py){
    TMatrixD GirDir(3,1);
    if(R>0){
	GirDir(0,0) = Py;
	GirDir(1,0) = -Px;
    }else{
	GirDir(0,0) = -Py;
	GirDir(1,0) = Px;
    }
    GirDir(2,0) = 0.;
    return GirDir;
}

Double_t OrientationInfo::GetPitchAngle(Double_t x1, Double_t y1, Double_t z1, Double_t x2, Double_t y2, Double_t z2){
    return TMath::ACos((x1*x2 + y1*y2 + z1*z2)/(sqrt(pow(x1,2)+pow(y1,2)+pow(z1,2))*sqrt(pow(x2,2)+pow(y2,2)+pow(z2,2)))) * TMath::RadToDeg();
}