/**
	This software was developed by the University of Tennessee as part of the
	Distributed Data Analysis of Neutron Scattering Experiments (DANSE)
	project funded by the US National Science Foundation.

	If you use DANSE applications to do scientific research that leads to
	publication, we ask that you acknowledge the use of the software with the
	following sentence:

	"This work benefited from DANSE software developed under NSF award DMR-0520547."

	copyright 2008, University of Tennessee
 */

/**
 * Scattering model classes
 * The classes use the IGOR library found in
 *   sansmodels/src/libigor
 *
 */

#include <math.h>
#include "models.hh"
#include "parameters.hh"
#include <stdio.h>
using namespace std;

extern "C" {
	#include "libCylinder.h"
	#include "barbell.h"
}

BarBellModel :: BarBellModel() {
	scale      = Parameter(1.0);
	rad_bar		= Parameter(20.0);
	rad_bar.set_min(0.0);
	len_bar     = Parameter(400.0, true);
	len_bar.set_min(0.0);
	rad_bell = Parameter(40.0);
	rad_bell.set_min(0.0);
	sld_barbell   = Parameter(1.0e-6);
	sld_solv   = Parameter(6.3e-6);
	background = Parameter(0.0);
	theta  = Parameter(0.0, true);
	phi    = Parameter(0.0, true);
}

/**
 * Function to evaluate 1D scattering function
 * The NIST IGOR library is used for the actual calculation.
 * @param q: q-value
 * @return: function value
 */
double BarBellModel :: operator()(double q) {
	double dp[7];

	// Fill parameter array for IGOR library
	// Add the background after averaging
	dp[0] = scale();
	dp[1] = rad_bar();
	dp[2] = len_bar();
	dp[3] = rad_bell();
	dp[4] = sld_barbell();
	dp[5] = sld_solv();
	dp[6] = 0.0;

	// Get the dispersion points for the rad_bar
	vector<WeightPoint> weights_rad_bar;
	rad_bar.get_weights(weights_rad_bar);
	// Get the dispersion points for the len_bar
	vector<WeightPoint> weights_len_bar;
	len_bar.get_weights(weights_len_bar);
	// Get the dispersion points for the rad_bell
	vector<WeightPoint> weights_rad_bell;
	rad_bell.get_weights(weights_rad_bell);

	// Perform the computation, with all weight points
	double sum = 0.0;
	double norm = 0.0;
	double vol = 0.0;
	double pi,hDist,result;
	double vol_i = 0.0;
	pi = 4.0*atan(1.0);
	// Loop over radius weight points
	for(size_t i=0; i<weights_rad_bar.size(); i++) {
		dp[1] = weights_rad_bar[i].value;
		for(size_t j=0; j<weights_len_bar.size(); j++) {
			dp[2] = weights_len_bar[j].value;
			for(size_t k=0; k<weights_rad_bell.size(); k++) {
				dp[3] = weights_rad_bell[k].value;

				//Un-normalize SphereForm by volume
				hDist = sqrt(fabs(dp[3]*dp[3]-dp[1]*dp[1]));
				vol_i = pi*dp[1]*dp[1]*dp[2]+2.0*pi*(2.0*dp[3]*dp[3]*dp[3]/3.0
								+dp[3]*dp[3]*hDist-hDist*hDist*hDist/3.0);
				result =  Barbell(dp, q) * vol_i;
				// This FIXES a singualrity the kernel in libigor.
				if ( result == INFINITY || result == NAN){
					result = 0.0;
				}
				sum += weights_rad_bar[i].weight*weights_len_bar[j].weight*weights_rad_bell[k].weight
					* result;
				//Find average volume
				vol += weights_rad_bar[i].weight*weights_len_bar[j].weight*weights_rad_bell[k].weight
					* vol_i;

				norm += weights_rad_bar[i].weight*weights_len_bar[j].weight*weights_rad_bell[k].weight;
			}
		}
	}

	if (vol != 0.0 && norm != 0.0) {
		//Re-normalize by avg volume
		sum = sum/(vol/norm);}
	return sum/norm + background();
}

/**
 * Function to evaluate 2D scattering function
 * @param q_x: value of Q along x
 * @param q_y: value of Q along y
 * @return: function value
 */
double BarBellModel :: operator()(double qx, double qy) {
	BarBellParameters dp;

	dp.scale = scale();
	dp.rad_bar = rad_bar();
	dp.len_bar = len_bar();
	dp.rad_bell = rad_bell();
	dp.sld_barbell = sld_barbell();
	dp.sld_solv = sld_solv();
	dp.background = 0.0;
	dp.theta  = theta();
	dp.phi    = phi();


	// Get the dispersion points for the rad_bar
	vector<WeightPoint> weights_rad_bar;
	rad_bar.get_weights(weights_rad_bar);

	// Get the dispersion points for the len_bar
	vector<WeightPoint> weights_len_bar;
	len_bar.get_weights(weights_len_bar);

	// Get the dispersion points for the rad_bell
	vector<WeightPoint> weights_rad_bell;
	rad_bell.get_weights(weights_rad_bell);

	// Get angular averaging for theta
	vector<WeightPoint> weights_theta;
	theta.get_weights(weights_theta);

	// Get angular averaging for phi
	vector<WeightPoint> weights_phi;
	phi.get_weights(weights_phi);


	// Perform the computation, with all weight points
	double sum = 0.0;
	double norm = 0.0;
	double norm_vol = 0.0;
	double vol = 0.0;
	double pi,hDist;
	double vol_i = 0.0;
	pi = 4.0*atan(1.0);

	// Loop over radius weight points
	for(size_t i=0; i<weights_rad_bar.size(); i++) {
		dp.rad_bar = weights_rad_bar[i].value;
		for(size_t j=0; j<weights_len_bar.size(); j++) {
			dp.len_bar = weights_len_bar[j].value;
			for(size_t k=0; k<weights_rad_bell.size(); k++) {
				dp.rad_bell = weights_rad_bell[k].value;
				// Average over theta distribution
				for(size_t l=0; l< weights_theta.size(); l++) {
					dp.theta = weights_theta[l].value;
					// Average over phi distribution
					for(size_t m=0; m< weights_phi.size(); m++) {
						dp.phi = weights_phi[m].value;
						//Un-normalize Form by volume
						hDist = sqrt(fabs(dp.rad_bell*dp.rad_bell-dp.rad_bar*dp.rad_bar));
						vol_i = pi*dp.rad_bar*dp.rad_bar*dp.len_bar+2.0*pi*(2.0*dp.rad_bell*dp.rad_bell*dp.rad_bell/3.0
										+dp.rad_bell*dp.rad_bell*hDist-hDist*hDist*hDist/3.0);

						double _ptvalue = weights_rad_bar[i].weight
											* weights_len_bar[j].weight
											* weights_rad_bell[k].weight
											* weights_theta[l].weight
											* weights_phi[m].weight
											* vol_i
											* barbell_analytical_2DXY(&dp, qx, qy);
											//* pow(weights_rad[i].value,3.0);
						// Consider when there is infinte or nan.
						if ( _ptvalue == INFINITY || _ptvalue == NAN){
							_ptvalue = 0.0;
						}
						if (weights_theta.size()>1) {
							_ptvalue *= fabs(sin(weights_theta[l].value*pi/180.0));
						}
						sum += _ptvalue;
						// This model dose not need the volume of spheres correction!!!
						//Find average volume
						vol += weights_rad_bar[i].weight
								* weights_len_bar[j].weight
								* weights_rad_bell[k].weight
								* vol_i;
						//Find norm for volume
						norm_vol += weights_rad_bar[i].weight
								* weights_len_bar[j].weight
								* weights_rad_bell[k].weight;

						norm += weights_rad_bar[i].weight
								* weights_len_bar[j].weight
								* weights_rad_bell[k].weight
								* weights_theta[l].weight
								* weights_phi[m].weight;
					}
				}
			}
		}
	}
	// Averaging in theta needs an extra normalization
	// factor to account for the sin(theta) term in the
	// integration (see documentation).
	if (weights_theta.size()>1) norm = norm / asin(1.0);

	if (vol != 0.0 && norm_vol != 0.0) {
		//Re-normalize by avg volume
		sum = sum/(vol/norm_vol);}

	return sum/norm + background();
}

/**
 * Function to evaluate 2D scattering function
 * @param pars: parameters of the SCCrystal
 * @param q: q-value
 * @param phi: angle phi
 * @return: function value
 */
double BarBellModel :: evaluate_rphi(double q, double phi) {
	return (*this).operator()(q);
}

/**
 * Function to calculate effective radius
 * @return: effective radius value
 */
double BarBellModel :: calculate_ER() {
	//NOT implemented yet!!!
	return 0.0;
}