// $Id: pi0_proton_photoprod.cc,v 1.6 2006/04/06 01:35:56 mikewood Exp $
// Description:
//
// This generator photo-produces pi0s off of the proton.
// I'd don't recall the exact source of the cross-section tables
// so they may be completely wrong.

#include <stdlib.h>
#include <iomanip>
#include <vector>
#include <iostream>
using namespace std;

#include <dlfcn.h>

#include "kinematics.h"
#include "cern.h"
#include "bg_hddm.h"

char Name[] = "pi0 photoprod-proton";
char Description[] = "pi0 photoproduction off the proton.";
  
float BEAM_ENERGY = 9.0;
int Nmax = 100;

typedef struct {
  float theta;
  float total;
  float primakoff;
  float nuclear;
  float interference;
}cross_section_t;
#define N_pi0_H_4_5GeV 1001
extern cross_section_t pi0_H_4_5GeV[N_pi0_H_4_5GeV];


// Total integrals (used to decide which mechanism created pi0)
double It=0.0,Ip=0.0,In=0.0,Ii=0.0;

double BREM_LO = 0.69167;
double BREM_HI = 0.75833;
#define cm 1.0

#define _DBG_ cerr<<__FILE__<<":"<<__LINE__<<" "

void ParseCommandLineArguments(int narg, char *argv[]);
void Usage(void);
int Init(double Ebeam);
int GenerateEvent(int *Ninitial	// Number of incident particles
		  ,mcparticle_t* initial // Array of incident particles
		  ,int *Nintermediary // Number of intermediary particles
		  ,mcparticle_t* intermediary // Intermediary particles array
		  ,int *Nfinal // Number of final state particles
		  ,mcparticle_t* final // Array of final state particles
		  ,int *production_mech	// prod channel (specific to generator)
		  ,int *decay_mech); // decay channel (specific to generator)


//----------------------
// main
//----------------------
int main(int narg, char *argv[])
{
	ParseCommandLineArguments(narg, argv);

	open_hddm_output("genp_pi0.hddm");

	Init(9.0);
	
	for(int N=0; N<Nmax; N++){
		int Ninitial, Nintermediary, Nfinal;
		mcparticle_t initial[10], intermediary[10], final[10];
		int production_mech, decay_mech;

		GenerateEvent(&Ninitial, initial, &Nintermediary, intermediary, &Nfinal, final, &production_mech, &decay_mech);

		int iev = 0;
		int iproc = production_mech;
		keve_t kin[2]; // element 0 is beam,  element 1 is target
		peve_t pin[2]; // element 0 is beam,  element 1 is target
		int ntra = Nfinal;
		vector<keve_t> keve;
		vector<peve_t> peve;
		
		// Beam
		kin[0].geantid = initial[0].type;
		kin[0].mech = production_mech;
		kin[0].kfid = 0;
		kin[0].parent = 0;
		kin[0].firstdaughter = 0;
		kin[0].lastdaughter = 0;
		pin[0].px = initial[0].v.x;
		pin[0].py = initial[0].v.y;
		pin[0].pz = initial[0].v.z;
		pin[0].en = initial[0].v.E;

		// Target
		kin[1].geantid = 14;
		kin[1].mech = production_mech;
		kin[1].kfid = 0;
		kin[1].parent = 0;
		kin[1].firstdaughter = 0;
		kin[1].lastdaughter = 0;
		pin[1].px = 0.0;
		pin[1].py = 0.0;
		pin[1].pz = 0.0;
		pin[1].en = PROTON_MASS;

		keve.clear();
		peve.clear();
		for(int i=0; i<ntra; i++){
			keve_t k;
			peve_t p;
			
			k.geantid = final[i].type;
			k.mech = decay_mech;
			k.kfid = 0;
			k.parent = 0;
			k.firstdaughter = 0;
			k.lastdaughter = 0;

			p.px = final[i].v.x;
			p.py = final[i].v.y;
			p.pz = final[i].v.z;
			p.en = final[i].v.E;
			
			keve.push_back(k);
			peve.push_back(p);
		}
		
		write_hddm_event(&iev, &iproc, kin, pin, &ntra, &keve[0], &peve[0]);
		
		if((N%100)==0){cout<<"  "<<N<<" events ("<<100*((double)(N+1)/(double)Nmax)<<"%)        \r"; cout.flush();}
	}
	cout<<"  "<<Nmax<<" events ("<<100*((double)(Nmax)/(double)Nmax)<<"%)            "<<endl;
	
	// Close out HDDM file
	close_hddm_output();

	return 0;
}

//----------------------
// ParseCommandLineArguments
//----------------------
void ParseCommandLineArguments(int narg, char *argv[])
{
	for(int i=1; i<narg; i++){
		string arg = argv[i];
		string arg2 = (i+1)<narg ? argv[i+1]:"";
		
		if(arg=="-h" || arg=="--help"){ Usage(); exit(0);}
		if(arg=="-N"){ Nmax = atof(arg2.c_str()); i++;}
		
		if(i>=narg){
			cerr<<"Argument \""<<arg<<"\" requires an argument!"<<endl;
			exit(-1);
		}
	}
}

//----------------------
// Usage
//----------------------
void Usage(void)
{
	cout<<endl;
	cout<<"Usage:"<<endl;
	cout<<"   genp_pi0 [options]"<<endl;
	cout<<endl;
	cout<<" Generate single pi0 production events using photons"<<endl;
	cout<<"incident on protons. This was recycled from some older"<<endl;
	cout<<"PrimEx code."<<endl;
	cout<<endl;
	cout<<" options:"<<endl;
	cout<<"   -h  Print this Usage statement"<<endl;
	cout<<"   -N # Generate the specified number of events (def: "<<Nmax<<")"<<endl;
	cout<<endl;
}

//----------------------
// Init
//----------------------
int Init(double Ebeam)
{
  BEAM_ENERGY = Ebeam; // Remember beam energy for later use
  
  //---- Convert cross section table to integral fractions ----
  // First, numerically integrate
  cross_section_t *c=pi0_H_4_5GeV;
  for(int i=0;i<N_pi0_H_4_5GeV;i++,c++){
    It += c->total;	    
    c->total = It;
    Ip += c->primakoff;	    
    c->primakoff = Ip;
    In += c->nuclear;	    
    c->nuclear = In;
    Ii += c->interference;  
    c->interference = Ii;
  }
  // Next, normalize tables
  c=pi0_H_4_5GeV;
  for(int i=0;i<N_pi0_H_4_5GeV;i++,c++){
    c->theta /= 1000.0; //convert from mrad to rad for later
    c->total /= It;
    c->primakoff /= Ip;
    c->nuclear /= In;
    c->interference /= Ii;
  }
  
  // Normalize three total integrals to total so we can generate
  // them in the proper proportions
  double Itotal = Ip + In + Ii;
  Ip/=Itotal;
  In/=Itotal;
  Ii/=Itotal;
  
  return 0;
}

//----------------------
// GenerateEvent
//----------------------
int GenerateEvent(int *Ninitial	// Number of incident particles
		  ,mcparticle_t* initial // Array of incident particles
		  ,int *Nintermediary // Number of intermediary particles
		  ,mcparticle_t* intermediary // Intermediary particles array
		  ,int *Nfinal // Number of final state particles
		  ,mcparticle_t* final // Array of final state particles
		  ,int *production_mech	// prod channel (specific to generator)
		  ,int *decay_mech) // decay channel (specific to generator)
{
  // Incident photon
  *Ninitial = 1;
  initial->type = ptype_gamma;
  initial->v.E = BEAM_ENERGY;

  // sample vertex from a cylindrical target aligned with the beamline.
  // for simplicity, let the radial distribution be exponential.
  float beam_width = 0.2*cm;
  float target_radius = 1.0*cm;
  float target_length = 40.0*cm;
  float r;
  float k = log(2.0)/beam_width;
  do{
    double s = ((double)random()/(double)RAND_MAX);
    r = fabs(log(1.0-s)/k);
  }while(r>target_radius);
  double s = ((double)random()/(double)RAND_MAX);
  double ss = ((double)random()/(double)RAND_MAX);
  float vphi = 2.0*M_PI*s;
  float z = ss*target_length - (target_length/2.0);
  initial->x = r*cos(vphi);	
  initial->y = r*sin(vphi);	
  initial->z = z;
  initial->v.x = 0.0;
  initial->v.y = 0.0;			
  initial->v.z = initial->v.E;
  
  // Intermediary state particles (pi0)
  // -- Determine production mechanism
  s = ((double)random()/(double)RAND_MAX);
  ss = ((double)random()/(double)RAND_MAX);
  cross_section_t *c=pi0_H_4_5GeV;
  int index;
  double delta_cross;
  if(s<=Ip){
    // Primakoff
    for(index=0;index<N_pi0_H_4_5GeV-1;index++,c++)if(ss <= c->primakoff)break;
    delta_cross = c->primakoff + c[1].primakoff;
    *production_mech=0;
  }else if(s<=(Ip+In)){
    // Nuclear Coherent
    for(index=0;index<N_pi0_H_4_5GeV-1;index++,c++)if(ss <= c->nuclear)break;
    delta_cross = c->nuclear + c[1].nuclear;
    *production_mech=1;
  }else{
    // Interference
    for(index=0;index<N_pi0_H_4_5GeV-1;index++,c++)if(ss <= c->interference)break;
    delta_cross = c->interference + c[1].interference;
    *production_mech=2;
  }
  double pi0_theta=c->theta+(c->theta+c[1].theta)*(ss-c->theta)/delta_cross;
  double pi0_phi = 2.0*M_PI*((double)random()/(double)RAND_MAX);
  
  // Smear pi0 theta by +/-10^3 degrees to wash out some binning effects
  pi0_theta += (M_PI/180.0)*0.005*(1.0 - 2.0*((double)random()/(double)RAND_MAX));
  
  // Calculate pi0 momentum
  double M_N = PROTON_MASS;
  double Eg = initial->v.E;
  double L = Eg/(Eg + M_N);
  double K = (Eg*M_N + pow(PI_ZERO_MASS,2.0)/2.0)/(Eg + M_N);
  double A = pow(L*cos(pi0_theta),2.0) - 1.0;
  double B = 2.0*K*L*cos(pi0_theta);
  double C = pow(K,2.0) - pow(PI_ZERO_MASS,2.0);
  double pi0_p = ((-B) - sqrt(B*B - 4.0*A*C))/(2.0*A);
  //double pi0_p = sqrt(pow(initial->v.E,2.0) - pow(PI_ZERO_MASS,2.0));
  intermediary->v.E = sqrt(pow(pi0_p,2.0) + pow(PI_ZERO_MASS,2.0));
	     
  *Nintermediary = 1;
  intermediary->type = ptype_pion_zero;
  double vertex_r = 0.5*cm*(-0.5 + ((double)random()/(double)RAND_MAX));
  double vertex_phi = 2.0*M_PI*((double)random()/(double)RAND_MAX);
  intermediary->x = vertex_r*cos(vertex_phi);
  intermediary->y = vertex_r*sin(vertex_phi);
  intermediary->z = 65.0*cm + 30.0*cm*(-0.5 + ((double)random()/(double)RAND_MAX));
  
  intermediary->v.x = pi0_p*sin(pi0_theta)*cos(pi0_phi);
  intermediary->v.y = pi0_p*sin(pi0_theta)*sin(pi0_phi);
  intermediary->v.z = pi0_p*cos(pi0_theta);
  
  // ------------ Final state photons ---------------
  // Define decay photons in rest frame of pi0
  *Nfinal = 2;
  final[0].type = ptype_gamma;
  final[0].v.E = PI_ZERO_MASS/2.0;
  final[0].x = intermediary->x;
  final[0].y = intermediary->y;
  final[0].z = intermediary->z;
  
  double phi = 2.0*M_PI*((double)random()/(double)RAND_MAX);
  double theta = M_PI*((double)random()/(double)RAND_MAX);
  
  final[0].v.x = final[0].v.E*sin(theta)*cos(phi);
  final[0].v.y = final[0].v.E*sin(theta)*sin(phi);
  final[0].v.z = final[0].v.E*cos(theta);
  
  // second decay photon goes in opposite direction
  final[1] = final[0];
  final[1].v.x = -final[0].v.x;
  final[1].v.y = -final[0].v.y;
  final[1].v.z = -final[0].v.z;

  // Boost photons into lab frame (http://rd11.web.cern.ch/RD11/rkb/PH14pp/node105.html)
  for(int i=0;i<*Nfinal;i++){
    final[i].v.E = (final[i].v.E*intermediary->v.E
		    + final[i].v.x*intermediary->v.x
		    + final[i].v.y*intermediary->v.y
		    + final[i].v.z*intermediary->v.z)/PI_ZERO_MASS;
    final[i].v.x += intermediary->v.x*(PI_ZERO_MASS/2.0 + final[i].v.E)/(intermediary->v.E + PI_ZERO_MASS);
    final[i].v.y += intermediary->v.y*(PI_ZERO_MASS/2.0 + final[i].v.E)/(intermediary->v.E + PI_ZERO_MASS);
    final[i].v.z += intermediary->v.z*(PI_ZERO_MASS/2.0 + final[i].v.E)/(intermediary->v.E + PI_ZERO_MASS);
  }

  // Final state proton
  vect4 fpi0 = vect4_add(final[0].v, final[1].v);
  vect4 tgt = {PROTON_MASS, 0.0, 0.0, 0.0};
  vect4 iall = vect4_add(tgt, initial[0].v);
  final[2].v = vect4_sub(iall, fpi0);
  final[2].type = ptype_proton;
  final[2].x = final[0].x;
  final[2].y = final[0].y;
  final[2].z = final[0].z;
  (*Nfinal)++;
  
  // Only one decay mechanisim for this generator!
  *decay_mech=0;
  return 0;
}

//=============================================================================
// Table of cross sections for pi0 production on Hydrogen with 4.5GeV photons
//=============================================================================
cross_section_t pi0_H_4_5GeV[N_pi0_H_4_5GeV] =
{
  {0.001,	1.92515e-06,	1.92051e-06,	2.7999e-12,	4.63777e-09},
  {0.114445,	0.0222486,	0.0221915,	3.66722e-08,	5.70548e-05},
  {0.227891,	0.0633747,	0.0631828,	1.45407e-07,	0.0001917},
  {0.341336,	0.0905145,	0.0901712,	3.26201e-07,	0.00034301},
  {0.454782,	0.0977022,	0.097227,	5.79042e-07,	0.000474546},
  {0.568227,	0.0927104,	0.0921323,	9.03913e-07,	0.000577164},
  {0.681672,	0.082875,	0.0822196,	1.30079e-06,	0.000654066},
  {0.795118,	0.0721751,	0.0714621,	1.76965e-06,	0.000711233},
  {0.908563,	0.0622731,	0.0615168,	2.31047e-06,	0.000754009},
  {1.02201,	0.0536825,	0.0528932,	2.92319e-06,	0.000786427},
  {1.13545,	0.0464321,	0.0456171,	3.6078e-06,	0.000811363},
  {1.2489,	0.0403772,	0.039542,	4.36423e-06,	0.000830831},
  {1.36234,	0.0353313,	0.0344799,	5.19244e-06,	0.00084625},
  {1.47579,	0.031117,	0.0302523,	6.09238e-06,	0.000858623},
  {1.58924,	0.0275813,	0.0267055,	7.06398e-06,	0.000868671},
  {1.70268,	0.0245982,	0.0237131,	8.10719e-06,	0.000876919},
  {1.81613,	0.022066,	0.021173,	9.22192e-06,	0.000883755},
  {1.92957,	0.0199032,	0.0190033,	1.04081e-05,	0.000889468},
  {2.04302,	0.0180446,	0.0171386,	1.16657e-05,	0.000894279},
  {2.15646,	0.0164379,	0.0155266,	1.29946e-05,	0.000898357},
  {2.26991,	0.0150413,	0.0141251,	1.43946e-05,	0.000901833},
  {2.38335,	0.0138208,	0.0129001,	1.58658e-05,	0.000904811},
  {2.4968,	0.0127487,	0.0118239,	1.74081e-05,	0.000907372},
  {2.61024,	0.0118025,	0.0108739,	1.90212e-05,	0.000909582},
  {2.72369,	0.0109638,	0.0100316,	2.07051e-05,	0.000911494},
  {2.83714,	0.0102171,	0.00928153,	2.24598e-05,	0.000913151},
  {2.95058,	0.00954987,	0.008611,	2.4285e-05,	0.000914589},
  {3.06403,	0.00895131,	0.0080093,	2.61807e-05,	0.000915836},
  {3.17747,	0.00841253,	0.00746747,	2.81467e-05,	0.000916918},
  {3.29092,	0.00792596,	0.00697792,	3.0183e-05,	0.000917855},
  {3.40436,	0.00748518,	0.00653423,	3.22893e-05,	0.000918663},
  {3.51781,	0.00708473,	0.0061309,	3.44655e-05,	0.000919358},
  {3.63125,	0.00671991,	0.00576325,	3.67116e-05,	0.000919952},
  {3.7447,	0.0063867,	0.00542721,	3.90272e-05,	0.000920455},
  {3.85814,	0.00608161,	0.00511932,	4.14124e-05,	0.000920876},
  {3.97159,	0.00580162,	0.00483653,	4.38669e-05,	0.000921224},
  {4.08503,	0.00554411,	0.00457621,	4.63906e-05,	0.000921506},
  {4.19848,	0.00530678,	0.00433607,	4.89833e-05,	0.000921726},
  {4.31193,	0.00508762,	0.00411408,	5.16448e-05,	0.000921891},
  {4.42537,	0.00488485,	0.00390848,	5.43749e-05,	0.000922004},
  {4.53882,	0.00469694,	0.00371769,	5.71736e-05,	0.000922071},
  {4.65226,	0.00452248,	0.00354035,	6.00405e-05,	0.000922094},
  {4.76571,	0.00436027,	0.00337522,	6.29755e-05,	0.000922077},
  {4.87915,	0.00420921,	0.00322121,	6.59785e-05,	0.000922021},
  {4.9926,	0.00406834,	0.00307736,	6.90491e-05,	0.000921931},
  {5.10604,	0.00393679,	0.00294279,	7.21873e-05,	0.000921807},
  {5.21949,	0.00381377,	0.00281673,	7.53928e-05,	0.000921653},
  {5.33293,	0.00369861,	0.00269847,	7.86653e-05,	0.000921469},
  {5.44638,	0.00359066,	0.0025874,	8.20048e-05,	0.000921258},
  {5.55982,	0.00348936,	0.00248293,	8.54109e-05,	0.00092102},
  {5.67327,	0.00339421,	0.00238457,	8.88834e-05,	0.000920757},
  {5.78672,	0.00330473,	0.00229184,	9.24221e-05,	0.00092047},
  {5.90016,	0.00322051,	0.00220432,	9.60268e-05,	0.000920161},
  {6.01361,	0.00314117,	0.00212164,	9.96972e-05,	0.00091983},
  {6.12705,	0.00306636,	0.00204344,	0.000103433,	0.000919478},
  {6.2405,	0.00299576,	0.00196942,	0.000107234,	0.000919106},
  {6.35394,	0.00292908,	0.00189926,	0.0001111,	0.000918715},
  {6.46739,	0.00286606,	0.00183272,	0.000115031,	0.000918304},
  {6.58083,	0.00280646,	0.00176955,	0.000119027,	0.000917876},
  {6.69428,	0.00275005,	0.00170953,	0.000123086,	0.000917431},
  {6.80772,	0.00269662,	0.00165245,	0.00012721,	0.000916968},
  {6.92117,	0.002646,	0.00159812,	0.000131397,	0.000916489},
  {7.03461,	0.00259801,	0.00154637,	0.000135648,	0.000915994},
  {7.14806,	0.00255248,	0.00149703,	0.000139962,	0.000915483},
  {7.26151,	0.00250927,	0.00144997,	0.000144338,	0.000914957},
  {7.37495,	0.00246824,	0.00140505,	0.000148777,	0.000914416},
  {7.4884,	0.00242927,	0.00136213,	0.000153279,	0.000913861},
  {7.60184,	0.00239223,	0.0013211,	0.000157842,	0.000913291},
  {7.71529,	0.00235703,	0.00128185,	0.000162467,	0.000912707},
  {7.82873,	0.00232355,	0.00124428,	0.000167154,	0.00091211},
  {7.94218,	0.0022917,	0.0012083,	0.000171901,	0.000911499},
  {8.05562,	0.0022614,	0.00117381,	0.000176709,	0.000910875},
  {8.16907,	0.00223256,	0.00114074,	0.000181578,	0.000910239},
  {8.28251,	0.00220511,	0.00110901,	0.000186507,	0.000909589},
  {8.39596,	0.00217897,	0.00107855,	0.000191496,	0.000908927},
  {8.50941,	0.00215408,	0.00104929,	0.000196544,	0.000908252},
  {8.62285,	0.00213038,	0.00102116,	0.000201651,	0.000907565},
  {8.7363,	0.00210781,	0.000994125,	0.000206817,	0.000906866},
  {8.84974,	0.00208631,	0.000968111,	0.000212041,	0.000906156},
  {8.96319,	0.00206583,	0.000943073,	0.000217324,	0.000905433},
  {9.07663,	0.00204633,	0.000918963,	0.000222664,	0.000904699},
  {9.19008,	0.00202775,	0.000895735,	0.000228062,	0.000903953},
  {9.30352,	0.00201006,	0.000873346,	0.000233517,	0.000903196},
  {9.41697,	0.00199321,	0.000851758,	0.000239028,	0.000902428},
  {9.53041,	0.00197718,	0.000830932,	0.000244596,	0.000901649},
  {9.64386,	0.00196191,	0.000810833,	0.00025022,	0.000900859},
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