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 "oblate.h" |
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32 | } |
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33 | |
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34 | OblateModel :: OblateModel() { |
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35 | scale = Parameter(1.0); |
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36 | major_core = Parameter(200.0, true); |
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37 | major_core.set_min(0.0); |
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38 | minor_core = Parameter(20.0, true); |
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39 | minor_core.set_min(0.0); |
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40 | major_shell = Parameter(250.0, true); |
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41 | major_shell.set_min(0.0); |
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42 | minor_shell = Parameter(30.0, true); |
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43 | minor_shell.set_min(0.0); |
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44 | contrast = Parameter(1e-6); |
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45 | sld_solvent = Parameter(6.3e-6); |
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46 | background = Parameter(0.0); |
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47 | axis_theta = Parameter(0.0, true); |
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48 | axis_phi = Parameter(0.0, true); |
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49 | } |
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50 | |
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51 | /** |
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52 | * Function to evaluate 1D scattering function |
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53 | * The NIST IGOR library is used for the actual calculation. |
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54 | * @param q: q-value |
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55 | * @return: function value |
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56 | */ |
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57 | double OblateModel :: operator()(double q) { |
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58 | double dp[8]; |
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59 | |
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60 | // Fill parameter array for IGOR library |
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61 | // Add the background after averaging |
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62 | dp[0] = scale(); |
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63 | dp[1] = major_core(); |
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64 | dp[2] = minor_core(); |
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65 | dp[3] = major_shell(); |
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66 | dp[4] = minor_shell(); |
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67 | dp[5] = contrast(); |
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68 | dp[6] = sld_solvent(); |
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69 | dp[7] = background(); |
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70 | |
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71 | // Get the dispersion points for the major core |
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72 | vector<WeightPoint> weights_major_core; |
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73 | major_core.get_weights(weights_major_core); |
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74 | |
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75 | // Get the dispersion points for the minor core |
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76 | vector<WeightPoint> weights_minor_core; |
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77 | minor_core.get_weights(weights_minor_core); |
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78 | |
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79 | // Get the dispersion points for the major shell |
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80 | vector<WeightPoint> weights_major_shell; |
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81 | major_shell.get_weights(weights_major_shell); |
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82 | |
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83 | // Get the dispersion points for the minor_shell |
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84 | vector<WeightPoint> weights_minor_shell; |
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85 | minor_shell.get_weights(weights_minor_shell); |
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86 | |
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87 | |
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88 | // Perform the computation, with all weight points |
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89 | double sum = 0.0; |
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90 | double norm = 0.0; |
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91 | |
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92 | // Loop over major core weight points |
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93 | for(int i=0; i<(int)weights_major_core.size(); i++) { |
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94 | dp[1] = weights_major_core[i].value; |
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95 | |
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96 | // Loop over minor core weight points |
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97 | for(int j=0; j<(int)weights_minor_core.size(); j++) { |
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98 | dp[2] = weights_minor_core[j].value; |
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99 | |
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100 | // Loop over major shell weight points |
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101 | for(int k=0; k<(int)weights_major_shell.size(); k++) { |
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102 | dp[3] = weights_major_shell[k].value; |
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103 | |
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104 | // Loop over minor shell weight points |
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105 | for(int l=0; l<(int)weights_minor_shell.size(); l++) { |
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106 | dp[4] = weights_minor_shell[l].value; |
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107 | |
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108 | sum += weights_major_core[i].weight* weights_minor_core[j].weight * weights_major_shell[k].weight |
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109 | * weights_minor_shell[l].weight * OblateForm(dp, q); |
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110 | norm += weights_major_core[i].weight* weights_minor_core[j].weight * weights_major_shell[k].weight |
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111 | * weights_minor_shell[l].weight; |
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112 | } |
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113 | } |
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114 | } |
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115 | } |
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116 | return sum/norm + background(); |
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117 | } |
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118 | |
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119 | /** |
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120 | * Function to evaluate 2D scattering function |
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121 | * @param q_x: value of Q along x |
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122 | * @param q_y: value of Q along y |
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123 | * @return: function value |
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124 | */ |
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125 | double OblateModel :: operator()(double qx, double qy) { |
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126 | OblateParameters dp; |
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127 | // Fill parameter array |
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128 | dp.scale = scale(); |
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129 | dp.major_core = major_core(); |
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130 | dp.minor_core = minor_core(); |
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131 | dp.major_shell = major_shell(); |
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132 | dp.minor_shell = minor_shell(); |
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133 | dp.contrast = contrast(); |
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134 | dp.sld_solvent = sld_solvent(); |
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135 | dp.background = background(); |
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136 | dp.axis_theta = axis_theta(); |
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137 | dp.axis_phi = axis_phi(); |
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138 | |
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139 | // Get the dispersion points for the major core |
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140 | vector<WeightPoint> weights_major_core; |
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141 | major_core.get_weights(weights_major_core); |
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142 | |
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143 | // Get the dispersion points for the minor core |
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144 | vector<WeightPoint> weights_minor_core; |
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145 | minor_core.get_weights(weights_minor_core); |
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146 | |
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147 | // Get the dispersion points for the major shell |
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148 | vector<WeightPoint> weights_major_shell; |
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149 | major_shell.get_weights(weights_major_shell); |
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150 | |
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151 | // Get the dispersion points for the minor shell |
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152 | vector<WeightPoint> weights_minor_shell; |
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153 | minor_shell.get_weights(weights_minor_shell); |
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154 | |
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155 | |
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156 | // Get angular averaging for theta |
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157 | vector<WeightPoint> weights_theta; |
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158 | axis_theta.get_weights(weights_theta); |
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159 | |
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160 | // Get angular averaging for phi |
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161 | vector<WeightPoint> weights_phi; |
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162 | axis_phi.get_weights(weights_phi); |
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163 | |
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164 | // Perform the computation, with all weight points |
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165 | double sum = 0.0; |
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166 | double norm = 0.0; |
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167 | |
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168 | // Loop over major core weight points |
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169 | for(int i=0; i< (int)weights_major_core.size(); i++) { |
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170 | dp.major_core = weights_major_core[i].value; |
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171 | |
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172 | // Loop over minor core weight points |
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173 | for(int j=0; j< (int)weights_minor_core.size(); j++) { |
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174 | dp.minor_core = weights_minor_core[j].value; |
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175 | |
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176 | // Loop over major shell weight points |
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177 | for(int k=0; k< (int)weights_major_shell.size(); k++) { |
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178 | dp.major_shell = weights_major_shell[i].value; |
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179 | |
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180 | // Loop over minor shell weight points |
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181 | for(int l=0; l< (int)weights_minor_shell.size(); l++) { |
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182 | dp.minor_shell = weights_minor_shell[l].value; |
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183 | |
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184 | // Average over theta distribution |
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185 | for(int m=0; m< (int)weights_theta.size(); m++) { |
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186 | dp.axis_theta = weights_theta[m].value; |
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187 | |
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188 | // Average over phi distribution |
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189 | for(int n=0; n< (int)weights_phi.size(); n++) { |
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190 | dp.axis_phi = weights_phi[n].value; |
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191 | |
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192 | double _ptvalue = weights_major_core[i].weight *weights_minor_core[j].weight |
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193 | * weights_major_shell[k].weight * weights_minor_shell[l].weight |
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194 | * weights_theta[m].weight |
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195 | * weights_phi[n].weight |
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196 | * oblate_analytical_2DXY(&dp, qx, qy); |
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197 | if (weights_theta.size()>1) { |
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198 | _ptvalue *= sin(weights_theta[k].value); |
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199 | } |
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200 | sum += _ptvalue; |
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201 | |
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202 | norm += weights_major_core[i].weight *weights_minor_core[j].weight |
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203 | * weights_major_shell[k].weight * weights_minor_shell[l].weight |
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204 | * weights_theta[m].weight * weights_phi[n].weight; |
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205 | } |
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206 | } |
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207 | } |
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208 | } |
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209 | } |
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210 | } |
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211 | // Averaging in theta needs an extra normalization |
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212 | // factor to account for the sin(theta) term in the |
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213 | // integration (see documentation). |
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214 | if (weights_theta.size()>1) norm = norm / asin(1.0); |
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215 | return sum/norm + background(); |
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216 | } |
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217 | |
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218 | /** |
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219 | * Function to evaluate 2D scattering function |
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220 | * @param pars: parameters of the oblate |
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221 | * @param q: q-value |
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222 | * @param phi: angle phi |
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223 | * @return: function value |
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224 | */ |
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225 | double OblateModel :: evaluate_rphi(double q, double phi) { |
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226 | double qx = q*cos(phi); |
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227 | double qy = q*sin(phi); |
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228 | return (*this).operator()(qx, qy); |
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229 | } |
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