source: sasview/sansmodels/src/sans/models/c_models/cylinder.cpp @ 87fbc60

/**
        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
 *
 *      TODO: refactor so that we pull in the old sansmodels.c_extensions
 */

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

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

CylinderModel :: CylinderModel() {
        scale      = Parameter(1.0);
        radius     = Parameter(20.0, true);
        radius.set_min(0.0);
        length     = Parameter(400.0, true);
        length.set_min(0.0);
        contrast   = Parameter(3.e-6);
        background = Parameter(0.0);
        cyl_theta  = Parameter(0.0, true);
        cyl_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 CylinderModel :: operator()(double q) {
        double dp[5];

        // Fill parameter array for IGOR library
        // Add the background after averaging
        dp[0] = scale();
        dp[1] = radius();
        dp[2] = length();
        dp[3] = contrast();
        dp[4] = 0.0;

        // Get the dispersion points for the radius
        vector<WeightPoint> weights_rad;
        radius.get_weights(weights_rad);

        // Get the dispersion points for the length
        vector<WeightPoint> weights_len;
        length.get_weights(weights_len);

        // Perform the computation, with all weight points
        double sum = 0.0;
        double norm = 0.0;

        // Loop over radius weight points
        for(int i=0; i<weights_rad.size(); i++) {
                dp[1] = weights_rad[i].value;

                // Loop over length weight points
                for(int j=0; j<weights_len.size(); j++) {
                        dp[2] = weights_len[j].value;

                        sum += weights_rad[i].weight
                                * weights_len[j].weight * CylinderForm(dp, q);
                        norm += weights_rad[i].weight
                                * weights_len[j].weight;
                }
        }
        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 CylinderModel :: operator()(double qx, double qy) {
        CylinderParameters dp;
        // Fill parameter array
        dp.scale      = scale();
        dp.radius     = radius();
        dp.length     = length();
        dp.contrast   = contrast();
        dp.background = 0.0;
        dp.cyl_theta  = cyl_theta();
        dp.cyl_phi    = cyl_phi();

        // Get the dispersion points for the radius
        vector<WeightPoint> weights_rad;
        radius.get_weights(weights_rad);

        // Get the dispersion points for the length
        vector<WeightPoint> weights_len;
        length.get_weights(weights_len);

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

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

        // Perform the computation, with all weight points
        double sum = 0.0;
        double norm = 0.0;

        // Loop over radius weight points
        for(int i=0; i<weights_rad.size(); i++) {
                dp.radius = weights_rad[i].value;


                // Loop over length weight points
                for(int j=0; j<weights_len.size(); j++) {
                        dp.length = weights_len[j].value;

                        // Average over theta distribution
                        for(int k=0; k<weights_theta.size(); k++) {
                                dp.cyl_theta = weights_theta[k].value;

                                // Average over phi distribution
                                for(int l=0; l<weights_phi.size(); l++) {
                                        dp.cyl_phi = weights_phi[l].value;

                                        double _ptvalue = weights_rad[i].weight
                                                * weights_len[j].weight
                                                * weights_theta[k].weight
                                                * weights_phi[l].weight
                                                * cylinder_analytical_2DXY(&dp, qx, qy);
                                        if (weights_theta.size()>1) {
                                                _ptvalue *= sin(weights_theta[k].value);
                                        }
                                        sum += _ptvalue;

                                        norm += weights_rad[i].weight
                                                * weights_len[j].weight
                                                * weights_theta[k].weight
                                                * weights_phi[l].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);
        return sum/norm + background();
}

/**
 * Function to evaluate 2D scattering function
 * @param pars: parameters of the cylinder
 * @param q: q-value
 * @param phi: angle phi
 * @return: function value
 */
double CylinderModel :: evaluate_rphi(double q, double phi) {
        double qx = q*cos(phi);
        double qy = q*sin(phi);
        return (*this).operator()(qx, qy);
}

// Testing code
int main(void)
{
        CylinderModel c = CylinderModel();

        printf("Length = %g\n", c.length());
        printf("I(Qx=%g,Qy=%g) = %g\n", 0.001, 0.001, c(0.001, 0.001));
        printf("I(Q=%g) = %g\n", 0.001, c(0.001));
        c.radius.dispersion = new GaussianDispersion();
        c.radius.dispersion->npts = 100;
        c.radius.dispersion->width = 5;

        //c.length.dispersion = GaussianDispersion();
        //c.length.dispersion.npts = 20;
        //c.length.dispersion.width = 65;

        printf("I(Q=%g) = %g\n", 0.001, c(0.001));
        c.scale = 10.0;
        printf("I(Q=%g) = %g\n", 0.001, c(0.001));
        printf("I(Qx=%g, Qy=%g) = %g\n", 0.001, 0.001, c(0.001, 0.001));
        printf("I(Q=%g,  Phi=%g) = %g\n", 0.00447, .7854, c.evaluate_rphi(sqrt(0.00002), .7854));

        // Average over phi at theta=90 deg
        c.cyl_theta = 1.57;
        double values_th[100];
        double values[100];
        double weights[100];
        double pi = acos(-1.0);
        printf("pi=%g\n", pi);
        for(int i=0; i<100; i++){
                values[i] = (float)i*2.0*pi/99.0;
                values_th[i] = (float)i*pi/99.0;
                weights[i] = 1.0;
        }
        //c.radius.dispersion->width = 0;
        c.cyl_phi.dispersion = new ArrayDispersion();
        c.cyl_theta.dispersion = new ArrayDispersion();
        (*c.cyl_phi.dispersion).set_weights(100, values, weights);
        (*c.cyl_theta.dispersion).set_weights(100, values_th, weights);

        double i_avg = c(0.01, 0.01);
        double i_1d = c(sqrt(0.0002));

        printf("\nI(Qx=%g, Qy=%g) = %g\n", 0.01, 0.01, i_avg);
        printf("I(Q=%g)         = %g\n", sqrt(0.0002), i_1d);
        printf("ratio %g %g\n", i_avg/i_1d, i_1d/i_avg);


        return 0;
}