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 | * TODO: add 2D function |
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22 | */ |
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23 | |
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24 | #include <math.h> |
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25 | #include "models.hh" |
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26 | #include "parameters.hh" |
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27 | #include <stdio.h> |
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28 | using namespace std; |
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29 | |
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30 | extern "C" { |
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31 | #include "libCylinder.h" |
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32 | #include "parallelepiped.h" |
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33 | } |
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34 | |
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35 | ParallelepipedModel :: ParallelepipedModel() { |
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36 | scale = Parameter(1.0); |
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37 | short_edgeA = Parameter(35.0, true); |
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38 | short_edgeA.set_max(1.0); |
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39 | longer_edgeB = Parameter(75.0, true); |
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40 | longer_edgeB.set_min(1.0); |
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41 | longuest_edgeC = Parameter(400.0, true); |
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42 | longuest_edgeC.set_min(1.0); |
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43 | contrast = Parameter(53.e-7); |
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44 | background = Parameter(0.0); |
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45 | parallel_theta = Parameter(0.0, true); |
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46 | parallel_phi = Parameter(0.0, true); |
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47 | } |
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48 | |
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49 | /** |
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50 | * Function to evaluate 1D scattering function |
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51 | * The NIST IGOR library is used for the actual calculation. |
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52 | * @param q: q-value |
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53 | * @return: function value |
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54 | */ |
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55 | double ParallelepipedModel :: operator()(double q) { |
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56 | double dp[5]; |
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57 | |
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58 | // Fill parameter array for IGOR library |
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59 | // Add the background after averaging |
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60 | dp[0] = scale(); |
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61 | dp[1] = short_edgeA(); |
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62 | dp[2] = longer_edgeB(); |
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63 | dp[3] = longuest_edgeC(); |
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64 | dp[4] = contrast(); |
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65 | //dp[5] = background(); |
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66 | dp[5] = 0.0; |
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67 | |
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68 | // Get the dispersion points for the short_edgeA |
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69 | vector<WeightPoint> weights_short_edgeA; |
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70 | short_edgeA.get_weights(weights_short_edgeA); |
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71 | |
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72 | // Get the dispersion points for the longer_edgeB |
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73 | vector<WeightPoint> weights_longer_edgeB; |
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74 | longer_edgeB.get_weights(weights_longer_edgeB); |
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75 | |
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76 | // Get the dispersion points for the longuest_edgeC |
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77 | vector<WeightPoint> weights_longuest_edgeC; |
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78 | longuest_edgeC.get_weights(weights_longuest_edgeC); |
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79 | |
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80 | |
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81 | |
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82 | // Perform the computation, with all weight points |
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83 | double sum = 0.0; |
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84 | double norm = 0.0; |
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85 | |
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86 | // Loop over short_edgeA weight points |
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87 | for(int i=0; i< (int)weights_short_edgeA.size(); i++) { |
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88 | dp[1] = weights_short_edgeA[i].value; |
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89 | |
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90 | // Loop over longer_edgeB weight points |
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91 | for(int j=0; j< (int)weights_longer_edgeB.size(); j++) { |
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92 | dp[2] = weights_longer_edgeB[i].value; |
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93 | |
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94 | // Loop over longuest_edgeC weight points |
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95 | for(int k=0; k< (int)weights_longuest_edgeC.size(); k++) { |
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96 | dp[3] = weights_longuest_edgeC[j].value; |
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97 | |
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98 | sum += weights_short_edgeA[i].weight * weights_longer_edgeB[j].weight |
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99 | * weights_longuest_edgeC[k].weight * Parallelepiped(dp, q); |
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100 | |
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101 | norm += weights_short_edgeA[i].weight |
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102 | * weights_longer_edgeB[j].weight * weights_longuest_edgeC[k].weight; |
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103 | } |
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104 | } |
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105 | } |
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106 | return sum/norm + background(); |
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107 | } |
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108 | /** |
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109 | * Function to evaluate 2D scattering function |
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110 | * @param q_x: value of Q along x |
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111 | * @param q_y: value of Q along y |
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112 | * @return: function value |
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113 | */ |
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114 | double ParallelepipedModel :: operator()(double qx, double qy) { |
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115 | ParallelepipedParameters dp; |
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116 | // Fill parameter array |
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117 | dp.scale = scale(); |
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118 | dp.short_edgeA = short_edgeA(); |
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119 | dp.longer_edgeB = longer_edgeB(); |
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120 | dp.longuest_edgeC = longuest_edgeC(); |
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121 | dp.contrast = contrast(); |
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122 | dp.background = 0.0; |
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123 | //dp.background = background(); |
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124 | dp.parallel_theta = parallel_theta(); |
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125 | dp.parallel_phi = parallel_phi(); |
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126 | |
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127 | |
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128 | // Get the dispersion points for the short_edgeA |
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129 | vector<WeightPoint> weights_short_edgeA; |
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130 | short_edgeA.get_weights(weights_short_edgeA); |
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131 | |
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132 | // Get the dispersion points for the longer_edgeB |
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133 | vector<WeightPoint> weights_longer_edgeB; |
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134 | longer_edgeB.get_weights(weights_longer_edgeB); |
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135 | |
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136 | // Get angular averaging for the longuest_edgeC |
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137 | vector<WeightPoint> weights_longuest_edgeC; |
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138 | longuest_edgeC.get_weights(weights_longuest_edgeC); |
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139 | |
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140 | // Get angular averaging for theta |
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141 | vector<WeightPoint> weights_parallel_theta; |
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142 | parallel_theta.get_weights(weights_parallel_theta); |
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143 | |
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144 | // Get angular averaging for phi |
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145 | vector<WeightPoint> weights_parallel_phi; |
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146 | parallel_phi.get_weights(weights_parallel_phi); |
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147 | |
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148 | |
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149 | // Perform the computation, with all weight points |
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150 | double sum = 0.0; |
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151 | double norm = 0.0; |
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152 | |
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153 | // Loop over radius weight points |
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154 | for(int i=0; i< (int)weights_short_edgeA.size(); i++) { |
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155 | dp.short_edgeA = weights_short_edgeA[i].value; |
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156 | |
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157 | // Loop over longer_edgeB weight points |
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158 | for(int j=0; j< (int)weights_longer_edgeB.size(); j++) { |
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159 | dp.longer_edgeB = weights_longer_edgeB[j].value; |
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160 | |
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161 | // Average over longuest_edgeC distribution |
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162 | for(int k=0; k< (int)weights_longuest_edgeC.size(); k++) { |
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163 | dp.longuest_edgeC = weights_longuest_edgeC[k].value; |
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164 | |
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165 | // Average over theta distribution |
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166 | for(int l=0; l< (int)weights_parallel_theta.size(); l++) { |
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167 | dp.parallel_theta = weights_parallel_theta[l].value; |
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168 | |
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169 | // Average over phi distribution |
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170 | for(int m=0; m< (int)weights_parallel_phi.size(); m++) { |
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171 | dp.parallel_phi = weights_parallel_phi[m].value; |
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172 | |
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173 | double _ptvalue = weights_short_edgeA[i].weight |
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174 | * weights_longer_edgeB[j].weight |
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175 | * weights_longuest_edgeC[k].weight |
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176 | * weights_parallel_theta[l].weight |
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177 | * weights_parallel_phi[m].weight |
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178 | * parallelepiped_analytical_2DXY(&dp, qx, qy); |
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179 | if (weights_parallel_theta.size()>1) { |
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180 | _ptvalue *= sin(weights_parallel_theta[l].value); |
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181 | } |
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182 | sum += _ptvalue; |
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183 | |
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184 | norm += weights_short_edgeA[i].weight |
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185 | * weights_longer_edgeB[j].weight |
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186 | * weights_longuest_edgeC[k].weight |
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187 | * weights_parallel_theta[l].weight |
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188 | * weights_parallel_phi[m].weight; |
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189 | } |
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190 | |
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191 | } |
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192 | } |
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193 | } |
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194 | } |
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195 | // Averaging in theta needs an extra normalization |
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196 | // factor to account for the sin(theta) term in the |
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197 | // integration (see documentation). |
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198 | if (weights_parallel_theta.size()>1) norm = norm / asin(1.0); |
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199 | return sum/norm + background(); |
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200 | } |
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201 | |
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202 | |
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203 | /** |
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204 | * Function to evaluate 2D scattering function |
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205 | * @param pars: parameters of the cylinder |
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206 | * @param q: q-value |
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207 | * @param phi: angle phi |
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208 | * @return: function value |
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209 | */ |
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210 | double ParallelepipedModel :: evaluate_rphi(double q, double phi) { |
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211 | double qx = q*cos(phi); |
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212 | double qy = q*sin(phi); |
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213 | return (*this).operator()(qx, qy); |
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214 | } |
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