1 | /** |
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2 | This software was developed by the University of Tennessee as part of the |
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3 | Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
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4 | project funded by the US National Science Foundation. |
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5 | |
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6 | If you use DANSE applications to do scientific research that leads to |
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7 | publication, we ask that you acknowledge the use of the software with the |
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8 | following sentence: |
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9 | |
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10 | "This work benefited from DANSE software developed under NSF award DMR-0520547." |
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11 | |
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12 | copyright 2008, University of Tennessee |
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13 | */ |
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14 | |
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15 | /** |
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16 | * Scattering model classes |
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17 | * The classes use the IGOR library found in |
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18 | * sansmodels/src/libigor |
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19 | * |
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20 | */ |
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21 | |
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22 | #include <math.h> |
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23 | #include "parameters.hh" |
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24 | #include <stdio.h> |
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25 | using namespace std; |
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26 | #include "masssurfacefractal.h" |
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27 | |
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28 | |
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29 | |
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30 | static double mass_surface_fractal_kernel(double dp[], double q) { |
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31 | //fit parameters |
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32 | double scale = dp[0]; |
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33 | double mass_dim = dp[1]; |
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34 | double surface_dim = dp[2]; |
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35 | double cluster_rg = dp[3]; |
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36 | double primary_rg = dp[4]; |
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37 | double background = dp[5]; |
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38 | |
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39 | //others |
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40 | double tot_dim = 0.0; |
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41 | double rc_norm = 0.0; |
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42 | double rp_norm = 0.0; |
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43 | double x_val1 = 0.0; |
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44 | double x_val2 = 0.0; |
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45 | double form_factor = 0.0; |
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46 | double inv_form = 0.0; |
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47 | |
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48 | // This model is valid only for 0<dm<=6 and 0<ds<=6 |
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49 | // Not valid values => reject as 0.0 |
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50 | if (mass_dim < 1e-16){ |
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51 | return 0.0; |
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52 | } |
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53 | if (mass_dim > 6.0){ |
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54 | return 0.0; |
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55 | } |
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56 | if (surface_dim < 1e-16){ |
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57 | return 0.0; |
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58 | } |
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59 | if (surface_dim > 6.0){ |
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60 | return 0.0; |
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61 | } |
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62 | tot_dim = 6.0 - surface_dim - mass_dim; |
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63 | //singulars |
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64 | if (tot_dim < 0.0){ |
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65 | return 0.0; |
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66 | } |
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67 | |
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68 | //computation |
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69 | mass_dim /= 2.0; |
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70 | tot_dim /= 2.0; |
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71 | rc_norm = cluster_rg * cluster_rg / (3.0 * mass_dim); |
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72 | if (tot_dim < 1.0e-16){ |
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73 | tot_dim = 1.0e-16; |
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74 | } |
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75 | rp_norm = primary_rg * primary_rg / (3.0 * tot_dim); |
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76 | |
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77 | //x for P |
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78 | x_val1 = 1.0 + q * q * rc_norm; |
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79 | x_val2 = 1.0 + q * q * rp_norm; |
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80 | |
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81 | inv_form = pow(x_val1, mass_dim) * pow(x_val2, tot_dim); |
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82 | |
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83 | //another singular |
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84 | if (inv_form == 0.0) return 0.0; |
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85 | |
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86 | form_factor = 1.0; |
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87 | form_factor /= inv_form; |
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88 | |
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89 | //scale and background |
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90 | form_factor *= scale; |
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91 | form_factor += background; |
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92 | return (form_factor); |
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93 | } |
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94 | |
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95 | MassSurfaceFractal :: MassSurfaceFractal() { |
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96 | scale = Parameter(1.0); |
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97 | mass_dim = Parameter(1.8); |
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98 | surface_dim = Parameter(2.3); |
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99 | cluster_rg = Parameter(86.7); |
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100 | primary_rg = Parameter(4000.0); |
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101 | background = Parameter(0.0); |
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102 | } |
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103 | |
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104 | /** |
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105 | * Function to evaluate 1D scattering function |
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106 | * @param q: q-value |
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107 | * @return: function value |
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108 | */ |
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109 | double MassSurfaceFractal :: operator()(double q) { |
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110 | double dp[6]; |
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111 | |
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112 | // Fill parameter array for IGOR library |
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113 | // Add the background after averaging |
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114 | dp[0] = scale(); |
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115 | dp[1] = mass_dim(); |
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116 | dp[2] = surface_dim(); |
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117 | dp[3] = cluster_rg(); |
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118 | dp[4] = primary_rg(); |
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119 | dp[5] = 0.0; |
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120 | |
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121 | //computation: no polydispersion |
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122 | double sum = 0.0; |
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123 | sum = mass_surface_fractal_kernel(dp, q); |
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124 | |
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125 | return sum + background(); |
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126 | } |
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127 | |
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128 | /** |
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129 | * Function to evaluate 2D scattering function |
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130 | * @param q_x: value of Q along x |
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131 | * @param q_y: value of Q along y |
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132 | * @return: function value |
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133 | */ |
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134 | double MassSurfaceFractal :: operator()(double qx, double qy) { |
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135 | double q = sqrt(qx*qx + qy*qy); |
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136 | return (*this).operator()(q); |
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137 | } |
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138 | |
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139 | /** |
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140 | * Function to evaluate 2D scattering function |
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141 | * @param pars: parameters of the FractalModel |
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142 | * @param q: q-value |
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143 | * @param phi: angle phi |
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144 | * @return: function value |
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145 | */ |
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146 | double MassSurfaceFractal :: evaluate_rphi(double q, double phi) { |
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147 | return (*this).operator()(q); |
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148 | } |
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149 | |
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150 | /** |
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151 | * Function to calculate effective radius |
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152 | * @return: effective radius value |
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153 | */ |
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154 | double MassSurfaceFractal :: calculate_ER() { |
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155 | //NOT implemented yet!!! 'cause None shape Model |
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156 | return 0.0; |
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157 | } |
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