1 | """Least squares smooting and interpolation. |
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2 | |
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3 | measure the speed of least squares. |
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4 | |
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5 | ________________________ |
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6 | General comments |
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7 | |
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8 | The max_points_per_cell does effect the time spent solving a |
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9 | problem. The best value to use is probably dependent on the number |
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10 | of triangles. Maybe develop a simple imperical algorithm, based on |
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11 | test results. |
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12 | |
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13 | Duncan Gray |
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14 | Geoscience Australia, 2004. |
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15 | """ |
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16 | |
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17 | |
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18 | import os |
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19 | import sys |
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20 | import time |
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21 | from random import seed, random |
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22 | |
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23 | from pyvolution.least_squares import Interpolation |
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24 | from fit_interpolate.interpolate import Interpolate |
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25 | from pmesh.mesh import Mesh |
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26 | |
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27 | def mem_usage(): |
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28 | ''' |
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29 | returns the rss. |
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30 | |
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31 | RSS The total amount of physical memory used by the task, in kilo- |
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32 | bytes, is shown here. For ELF processes used library pages are |
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33 | counted here, for a.out processes not. |
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34 | |
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35 | Only works on nix systems. |
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36 | ''' |
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37 | import string |
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38 | p=os.popen('ps uwp %s'%os.getpid()) |
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39 | lines=p.readlines() |
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40 | #print "lines", lines |
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41 | status=p.close() |
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42 | if status or len(lines)!=2 or sys.platform == 'win32': |
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43 | return None |
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44 | return int(string.split(lines[1])[4]) |
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45 | |
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46 | |
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47 | |
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48 | |
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49 | class BenchmarkLeastSquares: |
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50 | |
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51 | |
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52 | def __init__(self): |
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53 | pass |
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54 | |
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55 | def trial(self, |
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56 | num_of_points=20000, |
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57 | maxArea=1000, |
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58 | max_points_per_cell=4, |
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59 | is_fit=True, |
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60 | use_least_squares=True, |
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61 | save=False): |
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62 | ''' |
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63 | num_of_points |
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64 | ''' |
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65 | |
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66 | #print "num_of_points",num_of_points |
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67 | #print "maxArea",maxArea |
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68 | #print "max_points_per_cell", max_points_per_cell |
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69 | |
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70 | mesh_dict = self._build_regular_mesh_dict(maxArea=maxArea, |
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71 | save=save) |
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72 | points_dict = self._build_points_dict(num_of_points=num_of_points) |
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73 | |
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74 | #Initial time and memory |
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75 | t0 = time.time() |
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76 | #m0 = None on windows |
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77 | m0 = mem_usage() |
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78 | |
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79 | if use_least_squares is True: |
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80 | interp = Interpolation(mesh_dict['vertices'], |
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81 | mesh_dict['triangles'], |
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82 | points_dict['points'], |
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83 | expand_search=True, |
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84 | verbose = False, |
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85 | max_points_per_cell = max_points_per_cell) |
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86 | if is_fit is True: |
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87 | calc = interp.fit_points(points_dict['point_attributes']) |
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88 | |
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89 | else: |
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90 | # run an interploate problem. |
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91 | print "Interpolate!" |
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92 | calc = interp.interpolate(mesh_dict['vertex_attributes']) |
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93 | else: |
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94 | # need to change to fit_interpolate code |
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95 | interp = Interpolate(mesh_dict['vertices'], |
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96 | mesh_dict['triangles'], |
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97 | max_vertices_per_cell = max_points_per_cell) |
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98 | if is_fit is True: |
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99 | #calc = interp.fit_points(point_atts) |
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100 | pass |
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101 | else: |
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102 | # run an interploate problem. |
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103 | print "Interpolate!" |
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104 | calc = interp.interpolate(mesh_dict['vertex_attributes'] |
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105 | ,points_dict['points'] |
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106 | ,start_blocking_len = 500000) |
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107 | |
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108 | time_taken_sec = (time.time()-t0) |
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109 | m1 = mem_usage() |
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110 | if m0 is None or m1 is None: |
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111 | memory_used = None |
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112 | else: |
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113 | memory_used = (m1 - m0) |
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114 | #print 'That took %.2f seconds' %time_taken_sec |
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115 | return time_taken_sec, memory_used, len(mesh_dict['triangles']) |
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116 | |
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117 | def _build_regular_mesh_dict(self, |
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118 | maxArea=1000, |
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119 | save=False): |
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120 | # make a mesh |
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121 | # pretty regular size, with some segments thrown in. |
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122 | m = Mesh() |
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123 | m.addUserVertex(0,0) |
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124 | m.addUserVertex(1.0,0) |
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125 | m.addUserVertex(0,1.0) |
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126 | m.addUserVertex(1.0,1.0) |
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127 | |
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128 | m.autoSegment(alpha = 100 ) |
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129 | |
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130 | dict = {} |
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131 | dict['points'] = [[.10,.10],[.90,.20]] |
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132 | dict['segments'] = [[0,1]] |
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133 | dict['segment_tags'] = ['wall1'] |
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134 | m.addVertsSegs(dict) |
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135 | |
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136 | dict = {} |
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137 | dict['points'] = [[.10,.90],[.40,.20]] |
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138 | dict['segments'] = [[0,1]] |
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139 | dict['segment_tags'] = ['wall2'] |
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140 | m.addVertsSegs(dict) |
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141 | |
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142 | dict = {} |
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143 | dict['points'] = [[.20,.90],[.60,.60]] |
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144 | dict['segments'] = [[0,1]] |
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145 | dict['segment_tags'] = ['wall3'] |
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146 | m.addVertsSegs(dict) |
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147 | |
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148 | dict = {} |
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149 | dict['points'] = [[.60,.20],[.90,.90]] |
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150 | dict['segments'] = [[0,1]] |
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151 | dict['segment_tags'] = ['wall4'] |
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152 | m.addVertsSegs(dict) |
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153 | |
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154 | m.generateMesh(mode = "Q", maxArea = maxArea) |
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155 | if save is True: |
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156 | m.export_mesh_file("aaaa.tsh") |
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157 | mesh_dict = m.Mesh2IOTriangulationDict() |
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158 | |
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159 | #Add vert attribute info to the mesh |
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160 | mesh_dict['vertex_attributes'] = [] |
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161 | # There has to be a better way of doing this.. |
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162 | for vertex in mesh_dict['vertices']: |
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163 | mesh_dict['vertex_attributes'].append([10.0]) |
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164 | |
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165 | return mesh_dict |
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166 | |
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167 | def _build_points_dict(self, num_of_points=20000): |
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168 | |
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169 | points_dict = {} |
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170 | points = [] |
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171 | point_atts = [] |
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172 | |
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173 | for point in range(num_of_points): |
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174 | points.append([random(), random()]) |
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175 | point_atts.append(10.0) |
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176 | |
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177 | points_dict['points'] = points |
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178 | points_dict['point_attributes'] = point_atts |
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179 | return points_dict |
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180 | |
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181 | |
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182 | #------------------------------------------------------------- |
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183 | if __name__ == "__main__": |
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184 | b = BenchmarkLeastSquares() |
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185 | b._build_regular_mesh_dict() |
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186 | b._build_points_dict() |
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