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 | * TODO: refactor so that we pull in the old sansmodels.c_extensions |
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21 | */ |
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22 | |
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23 | #include <math.h> |
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24 | #include "models.hh" |
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25 | #include "parameters.hh" |
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26 | #include <stdio.h> |
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27 | using namespace std; |
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28 | |
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29 | extern "C" { |
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30 | #include "libCylinder.h" |
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31 | #include "hollow_cylinder.h" |
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32 | } |
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33 | |
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34 | HollowCylinderModel :: HollowCylinderModel() { |
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35 | scale = Parameter(1.0); |
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36 | core_radius = Parameter(20.0, true); |
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37 | core_radius.set_min(0.0); |
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38 | shell_radius = Parameter(30.0, true); |
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39 | shell_radius.set_min(0.0); |
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40 | length = Parameter(400.0, true); |
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41 | length.set_min(0.0); |
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42 | contrast = Parameter(5.3e-6); |
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43 | background = Parameter(0.0); |
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44 | axis_theta = Parameter(0.0, true); |
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45 | axis_phi = Parameter(0.0, true); |
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46 | } |
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47 | |
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48 | /** |
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49 | * Function to evaluate 1D scattering function |
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50 | * The NIST IGOR library is used for the actual calculation. |
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51 | * @param q: q-value |
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52 | * @return: function value |
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53 | */ |
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54 | double HollowCylinderModel :: operator()(double q) { |
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55 | double dp[6]; |
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56 | |
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57 | dp[0] = scale(); |
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58 | dp[1] = core_radius(); |
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59 | dp[2] = shell_radius(); |
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60 | dp[3] = length(); |
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61 | dp[4] = contrast(); |
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62 | dp[5] = 0.0; |
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63 | |
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64 | // Get the dispersion points for the core radius |
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65 | vector<WeightPoint> weights_core_radius; |
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66 | core_radius.get_weights(weights_core_radius); |
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67 | |
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68 | // Get the dispersion points for the shell radius |
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69 | vector<WeightPoint> weights_shell_radius; |
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70 | shell_radius.get_weights(weights_shell_radius); |
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71 | |
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72 | // Get the dispersion points for the length |
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73 | vector<WeightPoint> weights_length; |
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74 | length.get_weights(weights_length); |
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75 | |
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76 | // Perform the computation, with all weight points |
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77 | double sum = 0.0; |
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78 | double norm = 0.0; |
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79 | |
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80 | // Loop over core radius weight points |
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81 | for(int i=0; i< (int)weights_core_radius.size(); i++) { |
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82 | dp[1] = weights_core_radius[i].value; |
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83 | |
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84 | // Loop over length weight points |
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85 | for(int j=0; j< (int)weights_length.size(); j++) { |
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86 | dp[3] = weights_length[j].value; |
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87 | |
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88 | // Loop over shell radius weight points |
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89 | for(int k=0; k< (int)weights_shell_radius.size(); k++) { |
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90 | dp[2] = weights_shell_radius[k].value; |
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91 | |
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92 | sum += weights_core_radius[i].weight |
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93 | * weights_length[j].weight |
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94 | * weights_shell_radius[k].weight |
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95 | * HollowCylinder(dp, q); |
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96 | norm += weights_core_radius[i].weight |
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97 | * weights_length[j].weight |
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98 | * weights_shell_radius[k].weight; |
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99 | } |
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100 | } |
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101 | } |
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102 | return sum/norm + background(); |
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103 | } |
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104 | |
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105 | /** |
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106 | * Function to evaluate 2D scattering function |
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107 | * @param q_x: value of Q along x |
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108 | * @param q_y: value of Q along y |
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109 | * @return: function value |
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110 | */ |
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111 | double HollowCylinderModel :: operator()(double qx, double qy) { |
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112 | HollowCylinderParameters dp; |
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113 | // Fill parameter array |
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114 | dp.scale = scale(); |
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115 | dp.core_radius = core_radius(); |
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116 | dp.shell_radius = shell_radius(); |
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117 | dp.length = length(); |
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118 | dp.contrast = contrast(); |
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119 | dp.background = 0.0; |
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120 | dp.axis_theta = axis_theta(); |
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121 | dp.axis_phi = axis_phi(); |
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122 | |
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123 | // Get the dispersion points for the core radius |
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124 | vector<WeightPoint> weights_core_radius; |
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125 | core_radius.get_weights(weights_core_radius); |
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126 | |
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127 | // Get the dispersion points for the shell radius |
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128 | vector<WeightPoint> weights_shell_radius; |
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129 | shell_radius.get_weights(weights_shell_radius); |
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130 | |
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131 | // Get the dispersion points for the length |
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132 | vector<WeightPoint> weights_length; |
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133 | length.get_weights(weights_length); |
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134 | |
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135 | // Get angular averaging for theta |
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136 | vector<WeightPoint> weights_theta; |
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137 | axis_theta.get_weights(weights_theta); |
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138 | |
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139 | // Get angular averaging for phi |
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140 | vector<WeightPoint> weights_phi; |
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141 | axis_phi.get_weights(weights_phi); |
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142 | |
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143 | // Perform the computation, with all weight points |
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144 | double sum = 0.0; |
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145 | double norm = 0.0; |
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146 | |
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147 | // Loop over core radius weight points |
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148 | for(int i=0; i<(int)weights_core_radius.size(); i++) { |
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149 | dp.core_radius = weights_core_radius[i].value; |
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150 | |
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151 | |
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152 | // Loop over length weight points |
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153 | for(int j=0; j<(int)weights_length.size(); j++) { |
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154 | dp.length = weights_length[j].value; |
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155 | |
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156 | // Loop over shell radius weight points |
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157 | for(int m=0; m< (int)weights_shell_radius.size(); m++) { |
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158 | dp.shell_radius = weights_shell_radius[m].value; |
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159 | |
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160 | // Average over theta distribution |
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161 | for(int k=0; k< (int)weights_theta.size(); k++) { |
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162 | dp.axis_theta = weights_theta[k].value; |
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163 | |
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164 | // Average over phi distribution |
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165 | for(int l=0; l< (int)weights_phi.size(); l++) { |
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166 | dp.axis_phi = weights_phi[l].value; |
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167 | |
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168 | double _ptvalue = weights_core_radius[i].weight |
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169 | * weights_length[j].weight |
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170 | * weights_shell_radius[m].weight |
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171 | * weights_theta[k].weight |
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172 | * weights_phi[l].weight |
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173 | * hollow_cylinder_analytical_2DXY(&dp, qx, qy); |
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174 | if (weights_theta.size()>1) { |
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175 | _ptvalue *= sin(weights_theta[k].value); |
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176 | } |
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177 | sum += _ptvalue; |
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178 | |
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179 | norm += weights_core_radius[i].weight |
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180 | * weights_length[j].weight |
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181 | * weights_shell_radius[m].weight |
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182 | * weights_theta[k].weight |
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183 | * weights_phi[l].weight; |
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184 | |
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185 | } |
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186 | } |
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187 | } |
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188 | } |
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189 | } |
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190 | // Averaging in theta needs an extra normalization |
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191 | // factor to account for the sin(theta) term in the |
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192 | // integration (see documentation). |
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193 | if (weights_theta.size()>1) norm = norm / asin(1.0); |
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194 | return sum/norm + background(); |
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195 | } |
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196 | |
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197 | /** |
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198 | * Function to evaluate 2D scattering function |
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199 | * @param pars: parameters of the cylinder |
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200 | * @param q: q-value |
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201 | * @param phi: angle phi |
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202 | * @return: function value |
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203 | */ |
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204 | double HollowCylinderModel :: evaluate_rphi(double q, double phi) { |
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205 | double qx = q*cos(phi); |
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206 | double qy = q*sin(phi); |
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207 | return (*this).operator()(qx, qy); |
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208 | } |
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