1 | #!/usr/bin/env python |
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2 | """ |
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3 | Test for Elliptical Cylinder model. |
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4 | Class to validate a given 2D model by averaging it |
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5 | and comparing to 1D prediction. |
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6 | |
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7 | """ |
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8 | import sys, math |
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9 | from sans.models.EllipticalCylinderModel import EllipticalCylinderModel |
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10 | |
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11 | |
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12 | class Validate2D: |
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13 | """ |
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14 | Class to validate a given 2D model by averaging it |
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15 | and comparing to 1D prediction. |
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16 | """ |
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17 | |
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18 | def __init__(self): |
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19 | """ Initialization """ |
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20 | # Precision for the result comparison |
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21 | self.precision = 0.000001 |
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22 | # Flag for end result |
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23 | self.passed = True |
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24 | # Verbose flag |
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25 | self.verbose = True |
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26 | |
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27 | def __call__(self, npts = 101): |
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28 | """ |
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29 | Perform test and produce output file |
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30 | @param npts: number of points to average over |
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31 | @return: True if the test passed, otherwise False |
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32 | """ |
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33 | passed = True |
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34 | |
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35 | model = EllipticalCylinderModel() |
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36 | |
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37 | theta_label = 'cyl_theta' |
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38 | if not model.params.has_key(theta_label): |
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39 | theta_label = 'axis_theta' |
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40 | |
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41 | phi_label = 'cyl_phi' |
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42 | if not model.params.has_key(phi_label): |
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43 | phi_label = 'axis_phi' |
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44 | |
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45 | output_f = open("average_func.txt",'w') |
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46 | output_f.write("<q_average> <2d_average> <1d_average>\n") |
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47 | |
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48 | for i_q in range(1, 15): |
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49 | q = 0.3/15.0*i_q |
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50 | value = self.average_point_3D(model, q, npts) |
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51 | ana = model.run(q) |
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52 | if q<0.3 and (value-ana)/ana>0.05: |
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53 | passed = False |
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54 | output_f.write("%10g %10g %10g\n" % (q, value, ana)) |
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55 | if self.verbose: |
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56 | print "Q=%g: %10g %10g %10g %10g" % (q, value, ana, value-ana, value/ana) |
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57 | |
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58 | output_f.close() |
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59 | return passed |
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60 | |
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61 | def average_point_3D(self, model, q, npts): |
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62 | """ |
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63 | Average intensity over all orientations |
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64 | of the main cylinder axis and the |
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65 | rotation around that axis |
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66 | |
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67 | @param model: model to test |
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68 | @param q: q-value |
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69 | @param npts: number of points to average over |
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70 | @return: average intensity |
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71 | """ |
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72 | sum = 0.0 |
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73 | for i_theta in range(npts): |
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74 | theta = math.pi/npts*i_theta |
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75 | |
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76 | model.setParam('cyl_theta', theta) |
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77 | |
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78 | for j in range(npts): |
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79 | model.setParam('cyl_phi', math.pi * 2.0 / npts * j) |
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80 | |
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81 | for k in range(npts): |
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82 | model.setParam("cyl_psi", math.pi * 2.0 / npts * k) |
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83 | |
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84 | if str(model.run([q, 0])).count("IN")>0: |
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85 | if self.verbose: |
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86 | #print "ERROR", q, theta, math.pi * 2.0 / npts * j |
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87 | pass |
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88 | else: |
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89 | sum += math.fabs(math.cos(theta))*model.run([q, 0]) |
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90 | |
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91 | value = sum/npts/npts/npts |
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92 | return value |
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93 | |
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94 | def checkCylinder2D(self, phi): |
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95 | """ |
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96 | Check that the 2D scattering intensity reduces |
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97 | to a cylinder when r_ratio = 1.0 |
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98 | @param phi: angle of the vector q on the detector |
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99 | @return: True if the test passed, otherwise False |
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100 | """ |
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101 | from sans.models.CylinderModel import CylinderModel |
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102 | |
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103 | cyl = CylinderModel() |
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104 | cyl.setParam("cyl_theta", 90) |
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105 | cyl.setParam("cyl_phi", 0.0) |
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106 | cyl.setParam("radius", 20) |
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107 | cyl.setParam("length", 400) |
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108 | cyl.setParam("sldCyl", 2.0e-6) |
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109 | cyl.setParam("sldSolv", 1.0e-6) |
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110 | |
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111 | ell = EllipticalCylinderModel() |
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112 | ell.setParam("r_ratio", 1.0) |
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113 | ell.setParam("r_minor", 20) |
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114 | ell.setParam("cyl_theta", 90) |
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115 | ell.setParam("cyl_phi", 0.0) |
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116 | ell.setParam("length", 400) |
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117 | ell.setParam("sldCyl", 2.0e-6) |
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118 | ell.setParam("sldSolv", 1.0e-6) |
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119 | |
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120 | passed = True |
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121 | for i_q in range(1, 30): |
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122 | q = 0.025*i_q |
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123 | ell_val = ell.run([q, phi]) |
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124 | cyl_val = cyl.run([q, phi]) |
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125 | if self.verbose: |
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126 | print "Q=%g Ell=%g Cyl=%g R=%g" %(q, ell_val, cyl_val, ell_val/cyl_val) |
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127 | if math.fabs(ell_val-cyl_val)/cyl_val>0.05: |
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128 | passed= False |
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129 | |
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130 | return passed |
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131 | |
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132 | |
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133 | def checkCylinder(self, points): |
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134 | """ |
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135 | Compare the average over all orientations |
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136 | of the main cylinder axis for a cylinder |
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137 | and the elliptical cylinder with r_ratio = 1 |
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138 | |
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139 | @param points: number of points to average over |
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140 | @return: True if the test passed, otherwise False |
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141 | """ |
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142 | from sans.models.CylinderModel import CylinderModel |
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143 | |
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144 | passed = True |
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145 | |
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146 | npts =points |
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147 | model = EllipticalCylinderModel() |
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148 | model.setParam('r_ratio', 1.0) |
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149 | model.setParam("r_minor", 20) |
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150 | model.setParam("cyl_theta", 90) |
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151 | model.setParam("cyl_phi", 0.0) |
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152 | model.setParam("length", 400) |
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153 | model.setParam("sldEll", 2.0e-6) |
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154 | model.setParam("sldSolv", 1.0e-6) |
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155 | |
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156 | cyl = CylinderModel() |
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157 | cyl.setParam("cyl_theta", 90) |
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158 | cyl.setParam("cyl_phi", 0.0) |
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159 | cyl.setParam("radius", 20) |
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160 | cyl.setParam("length", 400) |
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161 | cyl.setParam("sldCyl", 2.0e-6) |
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162 | cyl.setParam("sldSolv", 1.0e-6) |
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163 | |
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164 | |
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165 | output_f = open("average_func.txt",'w') |
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166 | output_f.write("<q_average> <2d_average> <1d_average>\n") |
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167 | |
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168 | for i_q in range(1, 15): |
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169 | q = 0.3/15.0*i_q |
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170 | value = self.average_point_2D(model, q, npts) |
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171 | |
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172 | ana = cyl.run(q) |
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173 | if q<0.3 and math.fabs(value-ana)/ana>0.05: |
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174 | passed = False |
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175 | output_f.write("%10g %10g %10g\n" % (q, value, ana)) |
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176 | if self.verbose: |
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177 | print "Q=%g: %10g %10g %10g %10g" % (q, value, ana, value-ana, value/ana) |
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178 | |
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179 | output_f.close() |
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180 | return passed |
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181 | |
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182 | |
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183 | |
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184 | def average_point_2D(self, model, q, npts): |
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185 | """ |
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186 | Average intensity over all orientations |
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187 | of the main cylinder axis |
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188 | |
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189 | @param model: model to test |
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190 | @param q: q-value |
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191 | @param npts: number of points to average over |
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192 | @return: average intensity |
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193 | """ |
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194 | sum = 0.0 |
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195 | |
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196 | for i_theta in range(npts): |
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197 | theta = math.pi/npts*i_theta |
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198 | model.setParam('cyl_theta', theta * 180 / math.pi) |
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199 | |
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200 | for j in range(npts): |
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201 | model.setParam('cyl_phi', 180 * 2.0 / npts * j) |
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202 | |
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203 | if str(model.run([q, 0])).count("IN")>0: |
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204 | if self.verbose: |
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205 | print "ERROR", q, theta, 180 * 2.0 / npts * j |
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206 | else: |
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207 | sum += math.fabs(math.cos(theta))*model.run([q, 0]) |
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208 | |
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209 | value = sum/npts/npts*math.pi/2.0 |
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210 | return value |
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211 | |
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212 | |
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213 | if __name__ == '__main__': |
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214 | select = 0 |
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215 | |
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216 | validator = Validate2D() |
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217 | validator.verbose = True |
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218 | |
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219 | print "Testing Elliptical cylinder to 5%\n" |
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220 | |
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221 | if select == 0 or select == 1: |
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222 | # Check that the scat intensity reduces to a cylinder |
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223 | # for r_ratio = 1 |
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224 | print "Comparing to Cyl I(q,theta):", validator.checkCylinder2D(1.5) |
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225 | elif select == 0 or select == 2: |
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226 | print "Comparing average to Cyl I(q):", validator.checkCylinder(100) |
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227 | elif select == 0 or select == 3: |
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228 | ellcyl_passed = validator(100) |
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229 | |
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230 | |
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231 | |
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232 | |
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233 | |
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234 | |
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