1 | |
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2 | /* |
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3 | This software was developed by the University of Tennessee as part of the |
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4 | Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
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5 | project funded by the US National Science Foundation. |
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6 | |
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7 | If you use DANSE applications to do scientific research that leads to |
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8 | publication, we ask that you acknowledge the use of the software with the |
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9 | following sentence: |
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10 | |
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11 | "This work benefited from DANSE software developed under NSF award DMR-0520547." |
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12 | |
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13 | copyright 2008, University of Tennessee |
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14 | |
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15 | SHIBAYAMA-GEISSLER TWO-LENGTH SCALE SCATTERING FUNCTION FOR GELS |
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16 | |
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17 | See Sibayama, Tanaka & Han, J Chem Phys, (1992), 97(9), 6829-6841 |
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18 | or Mallam, Horkay, Hecht, Rennie & Geissler, Macromol, (1991), 24, 543 |
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19 | |
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20 | Ported to C++ from Fortran by Robert Whitley (2012) |
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21 | */ |
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22 | |
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23 | #include <math.h> |
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24 | #include "parameters.hh" |
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25 | #include <stdio.h> |
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26 | using namespace std; |
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27 | #include "GelFit.h" |
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28 | |
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29 | GelFitModel::GelFitModel() |
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30 | { |
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31 | lScale = Parameter(3.5); |
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32 | gScale = Parameter(1.7); |
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33 | zeta = Parameter(16.0); |
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34 | radius = Parameter(104.0,true); |
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35 | radius.set_min(2.0); |
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36 | FractalExp = Parameter(2.0,true); |
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37 | background = Parameter(0.01); |
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38 | } |
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39 | |
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40 | double GelFitModel::operator()(double q) |
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41 | { |
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42 | double dp[3]; |
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43 | dp[0] = zeta(); |
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44 | dp[1] = radius(); |
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45 | dp[2] = FractalExp(); |
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46 | |
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47 | if (dp[2] <= 0) |
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48 | { |
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49 | //cout << "\n\nThe Scaling Exponent must be > 0"; |
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50 | //cout << "\nWill set to 2.0"; |
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51 | dp[2] = 2.0; |
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52 | } |
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53 | |
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54 | // Lorentzian Term |
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55 | ////////////////////////double a(x[i]*x[i]*zeta*zeta); |
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56 | double a(q*q*dp[0]*dp[0]); |
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57 | double b(1.0 + (((dp[2] + 1.0)/3.0)*a) ); |
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58 | double c(pow(b, (dp[2]/2.0) ) ); |
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59 | |
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60 | // Exponential Term |
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61 | ////////////////////////double d(x[i]*x[i]*rg*rg); |
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62 | double d(q*q*dp[1]*dp[1]); |
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63 | double e(-1.0*(d/3.0) ); |
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64 | double f(exp(e)); |
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65 | |
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66 | // Scattering Law |
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67 | double result((lScale()/c) + (gScale()*f) + background()); |
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68 | return result; |
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69 | } |
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70 | |
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71 | |
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72 | /** |
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73 | * Function to evaluate 2D scattering function |
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74 | * @param q_x: value of Q along x |
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75 | * @param q_y: value of Q along y |
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76 | * @return: function value |
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77 | */ |
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78 | double GelFitModel::operator()(double qx, double qy) |
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79 | { |
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80 | double q = sqrt(qx*qx + qy*qy); |
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81 | return (*this).operator()(q); |
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82 | } |
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83 | |
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84 | /** |
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85 | * Function to evaluate 2D scattering function |
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86 | * @param pars: parameters of the cylinder |
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87 | * @param q: q-value |
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88 | * @param phi: angle phi |
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89 | * @return: function value |
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90 | */ |
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91 | double GelFitModel::evaluate_rphi(double q, double phi) |
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92 | { |
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93 | double qx = q*cos(phi); |
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94 | double qy = q*sin(phi); |
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95 | return (*this).operator()(qx, qy); |
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96 | } |
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97 | /** |
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98 | * Function to calculate effective radius |
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99 | * @return: effective radius value |
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100 | */ |
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101 | double GelFitModel::calculate_ER() |
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102 | { |
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103 | //NOT implemented yet!!! |
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104 | return 0.0; |
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105 | } |
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106 | double GelFitModel::calculate_VR() |
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107 | { |
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108 | return 1.0; |
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109 | } |
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