//--------------------------------------------------------------------------
//
// Environment:
//      This software is part of the EvtGen package developed jointly
//      for the BaBar and CLEO collaborations.  If you use all or part
//      of it, please give an appropriate acknowledgement.
//
// Copyright Information: See EvtGen/COPYRIGHT
//      Copyright (C) 1998      Caltech, UCSB
//
// Module: EvtVector4R.cc
//
// Description: Real implementation of 4-vectors
//
// Modification history:
//
//    DJL/RYD  September 25, 1996            Module created
//
//------------------------------------------------------------------------
// 

#include <iostream>
#include <math.h>
#include <assert.h>
#include "PspGen/EvtVector4R.hh"
#include "PspGen/EvtVector3R.hh"
#include "PspGen/EvtVector4C.hh"
#include "PspGen/EvtTensor4C.hh"


EvtVector4R::EvtVector4R(double e,double p1,double p2, double p3){
  
  v[0]=e; v[1]=p1; v[2]=p2; v[3]=p3;
}

double EvtVector4R::mass() const{

  double m2=v[0]*v[0]-v[1]*v[1]-v[2]*v[2]-v[3]*v[3];

  if (m2>0.0) {
    return sqrt(m2);
  }
  else{
    return 0.0;
  }
}


EvtVector4R rotateEuler(const EvtVector4R& rs,
			double alpha,double beta,double gamma){

  EvtVector4R tmp(rs);
  tmp.applyRotateEuler(alpha,beta,gamma);
  return tmp;

}

EvtVector4R boostTo(const EvtVector4R& rs,
		    const EvtVector4R& p4){

  EvtVector4R tmp(rs);
  tmp.applyBoostTo(p4);
  return tmp;

}

EvtVector4R boostTo(const EvtVector4R& rs,
		    const EvtVector3R& boost){

  EvtVector4R tmp(rs);
  tmp.applyBoostTo(boost);
  return tmp;

}



void EvtVector4R::applyRotateEuler(double phi,double theta,double ksi){

  double sp=sin(phi);
  double st=sin(theta);
  double sk=sin(ksi);
  double cp=cos(phi);
  double ct=cos(theta);
  double ck=cos(ksi);

  double x=( ck*ct*cp-sk*sp)*v[1]+( -sk*ct*cp-ck*sp)*v[2]+st*cp*v[3];
  double y=( ck*ct*sp+sk*cp)*v[1]+(-sk*ct*sp+ck*cp)*v[2]+st*sp*v[3];
  double z=-ck*st*v[1]+sk*st*v[2]+ct*v[3];

  v[1]=x;
  v[2]=y;
  v[3]=z;
  
}

std::ostream& operator<<(std::ostream& s, const EvtVector4R& v){

  s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<","<<v.v[3]<<")";

  return s;

}

void EvtVector4R::applyBoostTo(const EvtVector4R& p4){

  double e=p4.get(0);

  EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);

  applyBoostTo(boost);

  return;

}

void EvtVector4R::applyBoostTo(const EvtVector3R& boost){

  double bx,by,bz,gamma,b2;

  bx=boost.get(0);
  by=boost.get(1);
  bz=boost.get(2);

  double bxx=bx*bx;
  double byy=by*by;
  double bzz=bz*bz;

  b2=bxx+byy+bzz;


  if (b2==0.0){
    return;
  }

  assert(b2<1.0);

  gamma=1.0/sqrt(1-b2);


  double gb2=(gamma-1.0)/b2;

  double gb2xy=gb2*bx*by;
  double gb2xz=gb2*bx*bz;
  double gb2yz=gb2*by*bz;

  double gbx=gamma*bx;
  double gby=gamma*by;
  double gbz=gamma*bz;

  double e2=v[0];
  double px2=v[1];
  double py2=v[2];
  double pz2=v[3];

  v[0]=gamma*e2+gbx*px2+gby*py2+gbz*pz2;

  v[1]=gbx*e2+gb2*bxx*px2+px2+gb2xy*py2+gb2xz*pz2;

  v[2]=gby*e2+gb2*byy*py2+py2+gb2xy*px2+gb2yz*pz2;

  v[3]=gbz*e2+gb2*bzz*pz2+pz2+gb2yz*py2+gb2xz*px2;

  return;

}

EvtVector4R EvtVector4R::cross( const EvtVector4R& p2 ){

  //Calcs the cross product.  Added by djl on July 27, 1995.
  //Modified for real vectros by ryd Aug 28-96

  EvtVector4R temp;
  
  temp.v[0] = 0.0; 
  temp.v[1] = v[2]*p2.v[3] - v[3]*p2.v[2];
  temp.v[2] = v[3]*p2.v[1] - v[1]*p2.v[3];
  temp.v[3] = v[1]*p2.v[2] - v[2]*p2.v[1];

  return temp;
}

double EvtVector4R::d3mag() const

// returns the 3 momentum mag.
{
  double temp;

  temp = v[1]*v[1]+v[2]*v[2]+v[3]*v[3];

  temp = sqrt( temp );

  return temp;
} // r3mag

double EvtVector4R::dot ( const EvtVector4R& p2 )const{

  //Returns the dot product of the 3 momentum.  Added by
  //djl on July 27, 1995.  for real!!!

  double temp;

  temp = v[1]*p2.v[1];
  temp += v[2]*p2.v[2];
  temp += v[3]*p2.v[3];
 
  return temp;

} //dot

// Functions below added by AJB

// // Calculate ( \vec{p1} cross \vec{p2} ) \cdot \vec{p3} in rest frame of object
// double EvtVector4R::scalartripler3( const EvtVector4R& p1,
//         const EvtVector4R& p2, const EvtVector4R& p3 ) const
// {
//     EvtVector4C lc=dual(directProd(*this, p1)).cont2(p2);
//     EvtVector4R  l(real(lc.get(0)), real(lc.get(1)), real(lc.get(2)),
//             real(lc.get(3)));

//     return -1.0/mass() * (l * p3);
// }
double EvtVector4R::scalartripler3( const EvtVector4R& p1,
				    const EvtVector4R& p2, const EvtVector4R& p3 ) const
{
  EvtVector4C lc=dual(EvtGenFunctions::directProd(*this, p1)).cont2(p2);
  EvtVector4R  l(real(lc.get(0)), real(lc.get(1)), real(lc.get(2)),
		 real(lc.get(3)));
 
  return -1.0/mass() * (l * p3);
}

// Calculate the 3-d dot product of 4-vectors p1 and p2 in the rest frame of
// 4-vector p0
double EvtVector4R::dotr3( const EvtVector4R& p1, const EvtVector4R& p2 ) const
{
    return 1/mass2() * ((*this) * p1) * ((*this) * p2) - p1 * p2;
}

// Calculate the 3-d magnitude squared of 4-vector p1 in the rest frame of
// 4-vector p0
double EvtVector4R::mag2r3( const EvtVector4R& p1 ) const
{
    return Square((*this) * p1)/mass2() - p1.mass2();
}

// Calculate the 3-d magnitude 4-vector p1 in the rest frame of 4-vector p0.
double EvtVector4R::magr3( const EvtVector4R& p1 ) const
{
    return sqrt(mag2r3(p1));
}







