1 | import numpy as np
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2 | from pairoptions import pairoptions
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3 |
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4 |
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5 | def project3d(md, *args):
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6 | '''
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7 | PROJECT3D - vertically project a vector from 2d mesh
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8 |
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9 | vertically project a vector from 2d mesh (split in noncoll and coll
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10 | areas) into a 3d mesh.
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11 | This vector can be a node vector of size (md.mesh.numberofvertices2d,
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12 | N/A) or an element vector of size (md.mesh.numberofelements2d, N/A).
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13 |
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14 | arguments:
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15 | 'vector': 2d vector
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16 | 'type': 'element' or 'node' or 'poly'
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17 |
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18 | options:
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19 | 'layer' a layer number where vector should keep its values. If
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20 | not specified, all layers adopt the value of the 2d
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21 | vector.
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22 | 'padding': default to 0 (value adopted by other 3d layers not
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23 | being projected.
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24 | 'degree': degree of polynomials when extrude from bottom to the top
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25 |
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26 | Examples:
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27 | extruded_vector = project3d(md, 'vector', vector2d, 'type', 'node', 'layer', 1, 'padding', NaN)
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28 | extruded_vector = project3d(md, 'vector', vector2d, 'type', 'element', 'padding', 0)
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29 | extruded_vector = project3d(md, 'vector', vector2d, 'type', 'node')
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30 | '''
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31 |
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32 | #some regular checks
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33 | if not md:
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34 | raise TypeError("bad usage")
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35 | if md.mesh.domaintype().lower() != '3d':
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36 | raise TypeError("input model is not 3d")
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37 |
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38 | #retrieve parameters from options.
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39 | options = pairoptions(*args)
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40 | vector2d = options.getfieldvalue('vector') #mandatory
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41 | vectype = options.getfieldvalue('type') #mandatory
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42 | layer = options.getfieldvalue('layer', 0) #optional (do all layers otherwise)
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43 | paddingvalue = options.getfieldvalue('padding', 0) #0 by default
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44 | polyexponent = options.getfieldvalue('degree', 0) #0 by default, 0-degree polynomial
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45 |
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46 | #Handle special case where vector2d is single element (differs from representation in MATLAB)
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47 | if isinstance(vector2d, (bool, int, float)):
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48 | projected_vector = vector2d
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49 |
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50 | if np.size(vector2d) == 1:
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51 | projected_vector = vector2d
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52 |
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53 | elif vectype.lower() == 'node':
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54 | #Initialize 3d vector
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55 | if np.ndim(vector2d) == 1:
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56 | if vector2d.shape[0] == md.mesh.numberofvertices2d:
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57 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices))).astype(vector2d.dtype)
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58 | elif vector2d.shape[0] == md.mesh.numberofvertices2d + 1:
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59 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices + 1))).astype(vector2d.dtype)
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60 | projected_vector[-1] = vector2d[-1]
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61 | vector2d = vector2d[:-1]
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62 | else:
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63 | raise TypeError("vector length not supported")
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64 | #Fill in
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65 | if layer == 0:
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66 | for i in range(md.mesh.numberoflayers):
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67 | projected_vector[(i * md.mesh.numberofvertices2d):((i + 1) * md.mesh.numberofvertices2d)] = vector2d
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68 | else:
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69 | projected_vector[((layer - 1) * md.mesh.numberofvertices2d):(layer * md.mesh.numberofvertices2d)] = vector2d
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70 | else:
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71 | if vector2d.shape[0] == md.mesh.numberofvertices2d:
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72 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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73 | elif vector2d.shape[0] == md.mesh.numberofvertices2d + 1:
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74 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices + 1, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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75 | projected_vector[-1, :] = vector2d[-1, :]
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76 | vector2d = vector2d[:-1, :]
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77 | else:
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78 | raise TypeError("vector length not supported")
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79 | #Fill in
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80 | if layer == 0:
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81 | for i in range(md.mesh.numberoflayers):
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82 | projected_vector[(i * md.mesh.numberofvertices2d):((i + 1) * md.mesh.numberofvertices2d), :] = vector2d
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83 | else:
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84 | projected_vector[((layer - 1) * md.mesh.numberofvertices2d):(layer * md.mesh.numberofvertices2d), :] = vector2d
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85 |
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86 | elif vectype.lower() == 'element':
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87 | #Initialize 3d vector
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88 | if np.ndim(vector2d) == 1:
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89 | if vector2d.shape[0] == md.mesh.numberofelements2d:
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90 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofelements))).astype(vector2d.dtype)
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91 | elif vector2d.shape[0] == md.mesh.numberofelements2d + 1:
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92 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofelements + 1))).astype(vector2d.dtype)
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93 | projected_vector[-1] = vector2d[-1]
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94 | vector2d = vector2d[:-1]
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95 | else:
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96 | raise TypeError("vector length not supported")
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97 | #Fill in
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98 | if layer == 0:
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99 | for i in range(md.mesh.numberoflayers - 1):
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100 | projected_vector[(i * md.mesh.numberofelements2d):((i + 1) * md.mesh.numberofelements2d)] = vector2d
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101 | else:
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102 | projected_vector[((layer - 1) * md.mesh.numberofelements2d):(layer * md.mesh.numberofelements2d)] = vector2d
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103 | else:
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104 | if vector2d.shape[0] == md.mesh.numberofelements2d:
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105 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofelements, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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106 | elif vector2d.shape[0] == md.mesh.numberofelements2d + 1:
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107 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofelements + 1, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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108 | projected_vector[-1, :] = vector2d[-1, :]
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109 | vector2d = vector2d[:-1, :]
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110 | else:
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111 | raise TypeError("vector length not supported")
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112 | #Fill in
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113 | if layer == 0:
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114 | for i in range(md.mesh.numberoflayers - 1):
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115 | projected_vector[(i * md.mesh.numberofelements2d):((i + 1) * md.mesh.numberofelements2d), :] = vector2d
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116 | else:
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117 | projected_vector[((layer - 1) * md.mesh.numberofelements2d):(layer * md.mesh.numberofelements2d), :] = vector2d
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118 | elif vectype.lower() == 'poly':
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119 | #Initialize 3d vector
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120 | if np.ndim(vector2d) == 1:
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121 | if vector2d.shape[0] == md.mesh.numberofvertices2d:
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122 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices))).astype(vector2d.dtype)
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123 | elif vector2d.shape[0] == md.mesh.numberofvertices2d + 1:
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124 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices + 1))).astype(vector2d.dtype)
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125 | projected_vector[-1] = vector2d[-1]
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126 | vector2d = vector2d[:-1]
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127 | else:
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128 | raise TypeError("vector length not supported")
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129 | #Fill in
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130 | if layer == 0:
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131 | for i in range(md.mesh.numberoflayers - 1):
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132 | projected_vector[(i * md.mesh.numberofvertices2d):((i + 1) * md.mesh.numberofvertices2d)] = vector2d * (1.0 - (1.0 - i / (md.mesh.numberoflayers - 1.0))**polyexponent)
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133 | else:
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134 | projected_vector[((layer - 1) * md.mesh.numberofvertices2d):(layer * md.mesh.numberofvertices2d)] = vector2d * (1.0 - (1.0 - layer / (md.mesh.numberoflayers - 1.0))**polyexponent)
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135 | else:
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136 | if vector2d.shape[0] == md.mesh.numberofvertices2d:
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137 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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138 | elif vector2d.shape[0] == md.mesh.numberofvertices2d + 1:
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139 | projected_vector = (paddingvalue * np.ones((md.mesh.numberofvertices + 1, np.size(vector2d, axis=1)))).astype(vector2d.dtype)
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140 | projected_vector[-1, :] = vector2d[-1, :]
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141 | vector2d = vector2d[:-1, :]
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142 | else:
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143 | raise TypeError("vector length not supported")
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144 | #Fill in
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145 | if layer == 0:
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146 | for i in range(md.mesh.numberoflayers - 1):
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147 | projected_vector[(i * md.mesh.numberofvertices2d):((i + 1) * md.mesh.numberofvertices2d), :] = vector2d * (1.0 - (1.0 - i / (md.mesh.numberoflayers - 1.0))**polyexponent)
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148 | else:
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149 | projected_vector[((layer - 1) * md.mesh.numberofvertices2d):(layer * md.mesh.numberofvertices2d), :] = vector2d * (1.0 - (1.0 - layer / (md.mesh.numberoflayers - 1.0))**polyexponent)
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150 | else:
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151 | raise TypeError("project3d error message: unknown projection type")
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152 |
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153 | return projected_vector
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