1 | """Class Quantity - Implements values at each triangular element |
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2 | |
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3 | To create: |
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4 | |
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5 | Quantity(domain, vertex_values) |
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6 | |
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7 | domain: Associated domain structure. Required. |
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8 | |
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9 | vertex_values: N x 3 array of values at each vertex for each element. |
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10 | Default None |
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11 | |
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12 | If vertex_values are None Create array of zeros compatible with domain. |
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13 | Otherwise check that it is compatible with dimenions of domain. |
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14 | Otherwise raise an exception |
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15 | """ |
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16 | |
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17 | from anuga.utilities.numerical_tools import ensure_numeric, is_scalar |
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18 | from anuga.utilities.polygon import inside_polygon |
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19 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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20 | from anuga.fit_interpolate.fit import fit_to_mesh |
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21 | from anuga.config import points_file_block_line_size as default_block_line_size |
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22 | from anuga.config import epsilon |
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23 | from anuga.caching import cache |
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24 | |
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25 | import anuga.utilities.numerical_tools as aunt |
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26 | |
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27 | import numpy as num |
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28 | |
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29 | |
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30 | ## |
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31 | # @brief Implement values at each triangular element. |
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32 | class Quantity: |
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33 | |
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34 | ## |
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35 | # @brief Construct values art each triangular element. |
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36 | # @param domain ?? |
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37 | # @param vertex_values ?? |
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38 | def __init__(self, domain, vertex_values=None): |
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39 | from anuga.abstract_2d_finite_volumes.domain import Domain |
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40 | |
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41 | msg = ('First argument in Quantity.__init__() must be of class Domain ' |
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42 | '(or a subclass thereof). I got %s.' % str(domain.__class__)) |
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43 | assert isinstance(domain, Domain), msg |
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44 | |
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45 | if vertex_values is None: |
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46 | N = len(domain) # number_of_elements |
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47 | self.vertex_values = num.zeros((N, 3), num.float) |
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48 | else: |
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49 | self.vertex_values = num.array(vertex_values, num.float) |
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50 | |
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51 | N, V = self.vertex_values.shape |
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52 | assert V == 3, 'Three vertex values per element must be specified' |
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53 | |
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54 | msg = 'Number of vertex values (%d) must be consistent with' % N |
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55 | msg += 'number of elements in specified domain (%d).' % len(domain) |
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56 | assert N == len(domain), msg |
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57 | |
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58 | self.domain = domain |
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59 | |
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60 | # Allocate space for other quantities |
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61 | self.centroid_values = num.zeros(N, num.float) |
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62 | self.edge_values = num.zeros((N, 3), num.float) |
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63 | |
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64 | # Allocate space for Gradient |
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65 | self.x_gradient = num.zeros(N, num.float) |
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66 | self.y_gradient = num.zeros(N, num.float) |
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67 | |
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68 | # Allocate space for Limiter Phi |
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69 | self.phi = num.zeros(N, num.float) |
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70 | |
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71 | # Intialise centroid and edge_values |
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72 | self.interpolate() |
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73 | |
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74 | # Allocate space for boundary values |
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75 | L = len(domain.boundary) |
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76 | self.boundary_values = num.zeros(L, num.float) |
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77 | |
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78 | # Allocate space for updates of conserved quantities by |
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79 | # flux calculations and forcing functions |
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80 | |
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81 | # Allocate space for update fields |
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82 | self.explicit_update = num.zeros(N, num.float ) |
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83 | self.semi_implicit_update = num.zeros(N, num.float ) |
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84 | self.centroid_backup_values = num.zeros(N, num.float) |
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85 | |
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86 | self.set_beta(1.0) |
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87 | |
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88 | ############################################################################ |
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89 | # Methods for operator overloading |
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90 | ############################################################################ |
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91 | |
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92 | def __len__(self): |
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93 | return self.centroid_values.shape[0] |
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94 | |
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95 | def __neg__(self): |
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96 | """Negate all values in this quantity giving meaning to the |
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97 | expression -Q where Q is an instance of class Quantity |
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98 | """ |
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99 | |
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100 | Q = Quantity(self.domain) |
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101 | Q.set_values(-self.vertex_values) |
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102 | return Q |
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103 | |
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104 | def __add__(self, other): |
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105 | """Add to self anything that could populate a quantity |
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106 | |
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107 | E.g other can be a constant, an array, a function, another quantity |
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108 | (except for a filename or points, attributes (for now)) |
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109 | - see set_values for details |
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110 | """ |
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111 | |
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112 | Q = Quantity(self.domain) |
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113 | Q.set_values(other) |
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114 | |
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115 | result = Quantity(self.domain) |
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116 | result.set_values(self.vertex_values + Q.vertex_values) |
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117 | return result |
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118 | |
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119 | def __radd__(self, other): |
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120 | """Handle cases like 7+Q, where Q is an instance of class Quantity |
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121 | """ |
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122 | |
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123 | return self + other |
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124 | |
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125 | def __sub__(self, other): |
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126 | return self + -other # Invoke self.__neg__() |
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127 | |
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128 | def __mul__(self, other): |
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129 | """Multiply self with anything that could populate a quantity |
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130 | |
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131 | E.g other can be a constant, an array, a function, another quantity |
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132 | (except for a filename or points, attributes (for now)) |
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133 | - see set_values for details |
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134 | """ |
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135 | |
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136 | if isinstance(other, Quantity): |
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137 | Q = other |
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138 | else: |
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139 | Q = Quantity(self.domain) |
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140 | Q.set_values(other) |
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141 | |
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142 | result = Quantity(self.domain) |
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143 | |
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144 | # The product of vertex_values, edge_values and centroid_values |
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145 | # are calculated and assigned directly without using |
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146 | # set_values (which calls interpolate). Otherwise |
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147 | # edge and centroid values wouldn't be products from q1 and q2 |
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148 | result.vertex_values = self.vertex_values * Q.vertex_values |
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149 | result.edge_values = self.edge_values * Q.edge_values |
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150 | result.centroid_values = self.centroid_values * Q.centroid_values |
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151 | |
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152 | return result |
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153 | |
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154 | def __rmul__(self, other): |
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155 | """Handle cases like 3*Q, where Q is an instance of class Quantity |
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156 | """ |
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157 | |
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158 | return self * other |
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159 | |
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160 | def __div__(self, other): |
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161 | """Divide self with anything that could populate a quantity |
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162 | |
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163 | E.g other can be a constant, an array, a function, another quantity |
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164 | (except for a filename or points, attributes (for now)) |
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165 | - see set_values for details |
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166 | |
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167 | Zero division is dealt with by adding an epsilon to the divisore |
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168 | FIXME (Ole): Replace this with native INF once we migrate to NumPy |
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169 | """ |
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170 | |
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171 | if isinstance(other, Quantity): |
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172 | Q = other |
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173 | else: |
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174 | Q = Quantity(self.domain) |
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175 | Q.set_values(other) |
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176 | |
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177 | result = Quantity(self.domain) |
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178 | |
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179 | # The quotient of vertex_values, edge_values and centroid_values |
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180 | # are calculated and assigned directly without using |
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181 | # set_values (which calls interpolate). Otherwise |
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182 | # edge and centroid values wouldn't be quotient of q1 and q2 |
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183 | result.vertex_values = self.vertex_values/(Q.vertex_values + epsilon) |
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184 | result.edge_values = self.edge_values/(Q.edge_values + epsilon) |
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185 | result.centroid_values = self.centroid_values/(Q.centroid_values + epsilon) |
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186 | |
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187 | return result |
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188 | |
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189 | def __rdiv__(self, other): |
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190 | """Handle cases like 3/Q, where Q is an instance of class Quantity |
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191 | """ |
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192 | |
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193 | return self / other |
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194 | |
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195 | def __pow__(self, other): |
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196 | """Raise quantity to (numerical) power |
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197 | |
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198 | As with __mul__ vertex values are processed entry by entry |
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199 | while centroid and edge values are re-interpolated. |
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200 | |
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201 | Example using __pow__: |
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202 | Q = (Q1**2 + Q2**2)**0.5 |
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203 | """ |
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204 | |
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205 | if isinstance(other, Quantity): |
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206 | Q = other |
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207 | else: |
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208 | Q = Quantity(self.domain) |
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209 | Q.set_values(other) |
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210 | |
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211 | result = Quantity(self.domain) |
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212 | |
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213 | # The power of vertex_values, edge_values and centroid_values |
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214 | # are calculated and assigned directly without using |
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215 | # set_values (which calls interpolate). Otherwise |
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216 | # edge and centroid values wouldn't be correct |
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217 | result.vertex_values = self.vertex_values ** other |
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218 | result.edge_values = self.edge_values ** other |
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219 | result.centroid_values = self.centroid_values ** other |
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220 | |
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221 | return result |
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222 | |
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223 | ############################################################################ |
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224 | # Setters/Getters |
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225 | ############################################################################ |
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226 | |
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227 | ## |
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228 | # @brief Set default beta value for limiting. |
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229 | # @param beta ?? |
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230 | def set_beta(self, beta): |
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231 | """Set default beta value for limiting """ |
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232 | |
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233 | if beta < 0.0: |
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234 | print 'WARNING: setting beta < 0.0' |
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235 | if beta > 2.0: |
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236 | print 'WARNING: setting beta > 2.0' |
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237 | |
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238 | self.beta = beta |
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239 | |
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240 | ## |
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241 | # @brief Get the current beta value. |
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242 | # @return The current beta value. |
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243 | def get_beta(self): |
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244 | """Get default beta value for limiting""" |
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245 | |
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246 | return self.beta |
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247 | |
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248 | ## |
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249 | # @brief Compute interpolated values at edges and centroid. |
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250 | # @note vertex_values must be set before calling this. |
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251 | def interpolate(self): |
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252 | """Compute interpolated values at edges and centroid |
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253 | Pre-condition: vertex_values have been set |
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254 | """ |
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255 | |
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256 | # FIXME (Ole): Maybe this function |
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257 | # should move to the C-interface? |
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258 | # However, it isn't called by validate_all.py, so it |
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259 | # may not be that important to optimise it? |
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260 | |
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261 | N = self.vertex_values.shape[0] |
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262 | for i in range(N): |
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263 | v0 = self.vertex_values[i, 0] |
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264 | v1 = self.vertex_values[i, 1] |
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265 | v2 = self.vertex_values[i, 2] |
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266 | |
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267 | self.centroid_values[i] = (v0 + v1 + v2)/3 |
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268 | |
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269 | self.interpolate_from_vertices_to_edges() |
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270 | |
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271 | ## |
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272 | # @brief ?? |
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273 | def interpolate_from_vertices_to_edges(self): |
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274 | # Call correct module function (either from this module or C-extension) |
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275 | interpolate_from_vertices_to_edges(self) |
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276 | |
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277 | ## |
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278 | # @brief ?? |
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279 | def interpolate_from_edges_to_vertices(self): |
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280 | # Call correct module function (either from this module or C-extension) |
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281 | interpolate_from_edges_to_vertices(self) |
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282 | |
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283 | #--------------------------------------------- |
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284 | # Public interface for setting quantity values |
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285 | #--------------------------------------------- |
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286 | |
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287 | ## |
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288 | # @brief Set values for quantity based on different sources. |
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289 | # @param numeric A num array, list or constant value. |
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290 | # @param quantity Another Quantity. |
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291 | # @param function Any callable object that takes two 1d arrays. |
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292 | # @param geospatial_data Arbitrary instance of class Geospatial_data |
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293 | # @param filename Path to a points file. |
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294 | # @param attribute_name If specified any array using that name will be used. |
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295 | # @param alpha Smoothing parameter to be used with fit_interpolate.fit. |
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296 | # @param location Where to store values (vertices, edges, centroids). |
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297 | # @param polygon Restrict update to locations that fall inside polygon. |
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298 | # @param indices Restrict update to locations specified by this. |
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299 | # @param smooth If True, smooth vertex values. |
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300 | # @param verbose True if this method is to be verbose. |
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301 | # @param use_cache If True cache results for fit_interpolate.fit. |
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302 | # @note Exactly one of 'numeric', 'quantity', 'function', 'filename' |
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303 | # must be present. |
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304 | def set_values(self, numeric=None, # List, numeric array or constant |
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305 | quantity=None, # Another quantity |
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306 | function=None, # Callable object: f(x,y) |
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307 | geospatial_data=None, # Arbitrary dataset |
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308 | filename=None, |
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309 | attribute_name=None, # Input from file |
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310 | alpha=None, |
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311 | location='vertices', |
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312 | polygon=None, |
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313 | indices=None, |
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314 | smooth=False, |
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315 | verbose=False, |
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316 | use_cache=False): |
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317 | """Set values for quantity based on different sources. |
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318 | |
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319 | numeric: |
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320 | Compatible list, numeric array (see below) or constant. |
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321 | If callable it will treated as a function (see below) |
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322 | If instance of another Quantity it will be treated as such. |
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323 | If geo_spatial object it will be treated as such |
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324 | |
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325 | quantity: |
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326 | Another quantity (compatible quantity, e.g. obtained as a |
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327 | linear combination of quantities) |
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328 | |
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329 | function: |
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330 | Any callable object that takes two 1d arrays x and y |
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331 | each of length N and returns an array also of length N. |
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332 | The function will be evaluated at points determined by |
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333 | location and indices in the underlying mesh. |
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334 | |
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335 | geospatial_data: |
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336 | Arbitrary geo spatial dataset in the form of the class |
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337 | Geospatial_data. Mesh points are populated using |
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338 | fit_interpolate.fit fitting |
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339 | |
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340 | filename: |
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341 | Name of a points file containing data points and attributes for |
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342 | use with fit_interpolate.fit. |
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343 | |
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344 | attribute_name: |
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345 | If specified, any array matching that name |
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346 | will be used. from file or geospatial_data. |
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347 | Otherwise a default will be used. |
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348 | |
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349 | alpha: |
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350 | Smoothing parameter to be used with fit_interpolate.fit. |
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351 | See module fit_interpolate.fit for further details about alpha. |
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352 | Alpha will only be used with points, values or filename. |
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353 | Otherwise it will be ignored. |
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354 | |
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355 | |
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356 | location: Where values are to be stored. |
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357 | Permissible options are: vertices, edges, centroids |
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358 | Default is 'vertices' |
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359 | |
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360 | In case of location == 'centroids' the dimension values must |
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361 | be a list of a numerical array of length N, |
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362 | N being the number of elements. |
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363 | Otherwise it must be of dimension Nx3 |
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364 | |
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365 | |
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366 | The values will be stored in elements following their |
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367 | internal ordering. |
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368 | |
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369 | If location is 'unique vertices' indices refers the set |
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370 | of node ids that the operation applies to. |
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371 | If location is not 'unique vertices' indices refers the |
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372 | set of triangle ids that the operation applies to. |
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373 | |
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374 | |
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375 | If selected location is vertices, values for |
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376 | centroid and edges will be assigned interpolated |
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377 | values. In any other case, only values for the |
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378 | specified locations will be assigned and the others |
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379 | will be left undefined. |
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380 | |
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381 | |
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382 | polygon: Restrict update of quantity to locations that fall |
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383 | inside polygon. Polygon works by selecting indices |
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384 | and calling set_values recursively. |
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385 | Polygon mode has only been implemented for |
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386 | constant values so far. |
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387 | |
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388 | indices: Restrict update of quantity to locations that are |
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389 | identified by indices (e.g. node ids if location |
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390 | is 'unique vertices' or triangle ids otherwise). |
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391 | |
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392 | verbose: True means that output to stdout is generated |
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393 | |
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394 | use_cache: True means that caching of intermediate results is |
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395 | attempted for fit_interpolate.fit. |
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396 | |
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397 | |
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398 | |
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399 | |
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400 | Exactly one of the arguments |
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401 | numeric, quantity, function, filename |
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402 | must be present. |
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403 | """ |
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404 | |
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405 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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406 | from types import FloatType, IntType, LongType, ListType, NoneType |
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407 | |
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408 | # Treat special case: Polygon situation |
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409 | # Location will be ignored and set to 'centroids' |
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410 | # FIXME (Ole): This needs to be generalised and |
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411 | # perhaps the notion of location and indices simplified |
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412 | |
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413 | # FIXME (Ole): Need to compute indices based on polygon |
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414 | # (and location) and use existing code after that. |
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415 | |
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416 | # See ticket:275, ticket:250, ticeket:254 for refactoring plan |
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417 | |
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418 | if polygon is not None: |
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419 | if indices is not None: |
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420 | msg = 'Only one of polygon and indices can be specified' |
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421 | raise Exception, msg |
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422 | |
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423 | msg = 'With polygon selected, set_quantity must provide ' |
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424 | msg += 'the keyword numeric and it must (currently) be ' |
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425 | msg += 'a constant.' |
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426 | if numeric is None: |
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427 | raise Exception, msg |
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428 | else: |
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429 | # Check that numeric is as constant |
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430 | assert type(numeric) in [FloatType, IntType, LongType], msg |
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431 | |
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432 | location = 'centroids' |
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433 | |
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434 | points = self.domain.get_centroid_coordinates(absolute=True) |
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435 | indices = inside_polygon(points, polygon) |
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436 | |
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437 | self.set_values_from_constant(numeric, location, indices, verbose) |
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438 | |
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439 | self.extrapolate_first_order() |
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440 | |
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441 | if smooth: |
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442 | self.smooth_vertex_values(use_cache=use_cache, |
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443 | verbose=verbose) |
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444 | |
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445 | return |
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446 | |
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447 | # General input checks |
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448 | L = [numeric, quantity, function, geospatial_data, filename] |
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449 | msg = ('Exactly one of the arguments numeric, quantity, function, ' |
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450 | 'geospatial_data, or filename must be present.') |
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451 | assert L.count(None) == len(L)-1, msg |
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452 | |
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453 | if location == 'edges': |
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454 | msg = 'edges has been deprecated as valid location' |
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455 | raise Exception, msg |
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456 | |
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457 | if location not in ['vertices', 'centroids', 'unique vertices']: |
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458 | msg = 'Invalid location: %s' % location |
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459 | raise Exception, msg |
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460 | |
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461 | msg = 'Indices must be a list or None' |
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462 | assert (type(indices) in [ListType, NoneType] |
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463 | or isinstance(indices, num.ndarray)), msg |
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464 | |
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465 | # Determine which 'set_values_from_...' to use |
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466 | if numeric is not None: |
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467 | if isinstance(numeric, num.ndarray) or isinstance(numeric, list): |
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468 | self.set_values_from_array(numeric, location, indices, |
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469 | use_cache=use_cache, verbose=verbose) |
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470 | elif callable(numeric): |
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471 | self.set_values_from_function(numeric, location, indices, |
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472 | use_cache=use_cache, |
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473 | verbose=verbose) |
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474 | elif isinstance(numeric, Quantity): |
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475 | self.set_values_from_quantity(numeric, location, indices, |
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476 | verbose=verbose) |
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477 | elif isinstance(numeric, Geospatial_data): |
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478 | self.set_values_from_geospatial_data(numeric, alpha, location, |
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479 | indices, verbose=verbose, |
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480 | use_cache=use_cache) |
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481 | else: |
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482 | try: |
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483 | numeric = float(numeric) |
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484 | except ValueError: |
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485 | msg = ("Illegal type for variable 'numeric': %s" |
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486 | % type(numeric)) |
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487 | raise Exception, msg |
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488 | self.set_values_from_constant(numeric, location, |
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489 | indices, verbose) |
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490 | elif quantity is not None: |
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491 | self.set_values_from_quantity(quantity, location, indices, verbose) |
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492 | elif function is not None: |
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493 | msg = 'Argument function must be callable' |
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494 | assert callable(function), msg |
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495 | self.set_values_from_function(function, location, indices, |
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496 | use_cache=use_cache, verbose=verbose) |
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497 | elif geospatial_data is not None: |
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498 | self.set_values_from_geospatial_data(geospatial_data, alpha, |
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499 | location, indices, |
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500 | verbose=verbose, |
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501 | use_cache=use_cache) |
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502 | elif filename is not None: |
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503 | if hasattr(self.domain, 'points_file_block_line_size'): |
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504 | max_read_lines = self.domain.points_file_block_line_size |
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505 | else: |
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506 | max_read_lines = default_block_line_size |
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507 | self.set_values_from_file(filename, attribute_name, alpha, location, |
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508 | indices, verbose=verbose, |
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509 | max_read_lines=max_read_lines, |
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510 | use_cache=use_cache) |
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511 | else: |
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512 | raise Exception, "This can't happen :-)" |
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513 | |
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514 | # Update all locations in triangles |
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515 | if location == 'vertices' or location == 'unique vertices': |
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516 | # Intialise centroid and edge_values |
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517 | self.interpolate() |
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518 | |
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519 | if location == 'centroids': |
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520 | # Extrapolate 1st order - to capture notion of area being specified |
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521 | self.extrapolate_first_order() |
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522 | |
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523 | |
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524 | |
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525 | ############################################################################ |
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526 | # Specific internal functions for setting values based on type |
---|
527 | ############################################################################ |
---|
528 | |
---|
529 | ## |
---|
530 | # @brief Set quantity values from specified constant. |
---|
531 | # @param X The constant to set quantity values to. |
---|
532 | # @param location |
---|
533 | # @param indices |
---|
534 | # @param verbose |
---|
535 | def set_values_from_constant(self, X, location, indices, verbose): |
---|
536 | """Set quantity values from specified constant X""" |
---|
537 | |
---|
538 | # FIXME (Ole): Somehow indices refer to centroids |
---|
539 | # rather than vertices as default. See unit test |
---|
540 | # test_set_vertex_values_using_general_interface_with_subset(self): |
---|
541 | |
---|
542 | if location == 'centroids': |
---|
543 | if indices is None: |
---|
544 | self.centroid_values[:] = X |
---|
545 | else: |
---|
546 | # Brute force |
---|
547 | for i in indices: |
---|
548 | self.centroid_values[i] = X |
---|
549 | elif location == 'unique vertices': |
---|
550 | if indices is None: |
---|
551 | self.edge_values[:] = X #FIXME (Ole): Shouldn't this be vertex_values? |
---|
552 | else: |
---|
553 | # Go through list of unique vertices |
---|
554 | for unique_vert_id in indices: |
---|
555 | triangles = \ |
---|
556 | self.domain.get_triangles_and_vertices_per_node(node=unique_vert_id) |
---|
557 | |
---|
558 | # In case there are unused points |
---|
559 | if len(triangles) == 0: |
---|
560 | continue |
---|
561 | |
---|
562 | # Go through all triangle, vertex pairs |
---|
563 | # and set corresponding vertex value |
---|
564 | for triangle_id, vertex_id in triangles: |
---|
565 | self.vertex_values[triangle_id, vertex_id] = X |
---|
566 | |
---|
567 | # Intialise centroid and edge_values |
---|
568 | self.interpolate() |
---|
569 | else: |
---|
570 | if indices is None: |
---|
571 | self.vertex_values[:] = X |
---|
572 | else: |
---|
573 | # Brute force |
---|
574 | for i_vertex in indices: |
---|
575 | self.vertex_values[i_vertex] = X |
---|
576 | |
---|
577 | ## |
---|
578 | # @brief Set values for a quantity. |
---|
579 | # @param values Array of values. |
---|
580 | # @param location Where values are to be stored. |
---|
581 | # @param indices Limit update to these indices. |
---|
582 | # @param use_cache ?? |
---|
583 | # @param verbose True if this method is to be verbose. |
---|
584 | def set_values_from_array(self, values, |
---|
585 | location='vertices', |
---|
586 | indices=None, |
---|
587 | use_cache=False, |
---|
588 | verbose=False): |
---|
589 | """Set values for quantity |
---|
590 | |
---|
591 | values: numeric array |
---|
592 | location: Where values are to be stored. |
---|
593 | Permissible options are: vertices, centroid, unique vertices |
---|
594 | Default is 'vertices' |
---|
595 | |
---|
596 | indices - if this action is carried out on a subset of |
---|
597 | elements or unique vertices |
---|
598 | The element/unique vertex indices are specified here. |
---|
599 | |
---|
600 | In case of location == 'centroid' the dimension values must |
---|
601 | be a list of a numerical array of length N, N being the number |
---|
602 | of elements. |
---|
603 | |
---|
604 | Otherwise it must be of dimension Nx3 |
---|
605 | |
---|
606 | The values will be stored in elements following their |
---|
607 | internal ordering. |
---|
608 | |
---|
609 | If selected location is vertices, values for centroid and edges |
---|
610 | will be assigned interpolated values. |
---|
611 | In any other case, only values for the specified locations |
---|
612 | will be assigned and the others will be left undefined. |
---|
613 | """ |
---|
614 | |
---|
615 | values = num.array(values, num.float) |
---|
616 | |
---|
617 | if indices is not None: |
---|
618 | indices = num.array(indices, num.int) |
---|
619 | msg = ('Number of values must match number of indices: You ' |
---|
620 | 'specified %d values and %d indices' |
---|
621 | % (values.shape[0], indices.shape[0])) |
---|
622 | assert values.shape[0] == indices.shape[0], msg |
---|
623 | |
---|
624 | N = self.centroid_values.shape[0] |
---|
625 | |
---|
626 | if location == 'centroids': |
---|
627 | assert len(values.shape) == 1, 'Values array must be 1d' |
---|
628 | |
---|
629 | if indices is None: |
---|
630 | msg = 'Number of values must match number of elements' |
---|
631 | assert values.shape[0] == N, msg |
---|
632 | |
---|
633 | self.centroid_values = values |
---|
634 | else: |
---|
635 | msg = 'Number of values must match number of indices' |
---|
636 | assert values.shape[0] == indices.shape[0], msg |
---|
637 | |
---|
638 | # Brute force |
---|
639 | for i in range(len(indices)): |
---|
640 | self.centroid_values[indices[i]] = values[i] |
---|
641 | elif location == 'unique vertices': |
---|
642 | assert (len(values.shape) == 1 or num.allclose(values.shape[1:], 1), |
---|
643 | 'Values array must be 1d') |
---|
644 | |
---|
645 | self.set_vertex_values(values.flatten(), indices=indices, |
---|
646 | use_cache=use_cache, verbose=verbose) |
---|
647 | else: |
---|
648 | # Location vertices |
---|
649 | if len(values.shape) == 1: |
---|
650 | # This is the common case arising from fitted |
---|
651 | # values (e.g. from pts file). |
---|
652 | self.set_vertex_values(values, indices=indices, |
---|
653 | use_cache=use_cache, verbose=verbose) |
---|
654 | elif len(values.shape) == 2: |
---|
655 | # Vertex values are given as a triplet for each triangle |
---|
656 | msg = 'Array must be N x 3' |
---|
657 | assert values.shape[1] == 3, msg |
---|
658 | |
---|
659 | if indices is None: |
---|
660 | self.vertex_values = values |
---|
661 | else: |
---|
662 | for element_index, value in map(None, indices, values): |
---|
663 | self.vertex_values[element_index] = value |
---|
664 | else: |
---|
665 | msg = 'Values array must be 1d or 2d' |
---|
666 | raise Exception, msg |
---|
667 | |
---|
668 | ## |
---|
669 | # @brief Set quantity values from a specified quantity instance. |
---|
670 | # @param q The quantity instance to take values from. |
---|
671 | # @param location IGNORED, 'vertices' ALWAYS USED! |
---|
672 | # @param indices ?? |
---|
673 | # @param verbose True if this method is to be verbose. |
---|
674 | def set_values_from_quantity(self, q, location, indices, verbose): |
---|
675 | """Set quantity values from specified quantity instance q |
---|
676 | |
---|
677 | Location is ignored - vertices will always be used here. |
---|
678 | """ |
---|
679 | |
---|
680 | |
---|
681 | A = q.vertex_values |
---|
682 | |
---|
683 | msg = 'Quantities are defined on different meshes. '+\ |
---|
684 | 'This might be a case for implementing interpolation '+\ |
---|
685 | 'between different meshes.' |
---|
686 | assert num.allclose(A.shape, self.vertex_values.shape), msg |
---|
687 | |
---|
688 | self.set_values(A, location='vertices', |
---|
689 | indices=indices, verbose=verbose) |
---|
690 | |
---|
691 | ## |
---|
692 | # @brief Set quantity values from a specified quantity instance. |
---|
693 | # @param f Callable that takes two 1d array -> 1d array. |
---|
694 | # @param location Where values are to be stored. |
---|
695 | # @param indices ?? |
---|
696 | # @param use_cache ?? |
---|
697 | # @param verbose True if this method is to be verbose. |
---|
698 | def set_values_from_function(self, f, |
---|
699 | location='vertices', |
---|
700 | indices=None, |
---|
701 | use_cache=False, |
---|
702 | verbose=False): |
---|
703 | """Set values for quantity using specified function |
---|
704 | |
---|
705 | Input |
---|
706 | f: x, y -> z Function where x, y and z are arrays |
---|
707 | location: Where values are to be stored. |
---|
708 | Permissible options are: vertices, centroid, |
---|
709 | unique vertices |
---|
710 | Default is "vertices" |
---|
711 | indices: |
---|
712 | """ |
---|
713 | |
---|
714 | # FIXME: Should check that function returns something sensible and |
---|
715 | # raise a meaningful exception if it returns None for example |
---|
716 | |
---|
717 | # FIXME: Should supply absolute coordinates |
---|
718 | |
---|
719 | # Compute the function values and call set_values again |
---|
720 | if location == 'centroids': |
---|
721 | if indices is None: |
---|
722 | indices = range(len(self)) |
---|
723 | |
---|
724 | V = num.take(self.domain.get_centroid_coordinates(), indices, axis=0) |
---|
725 | x = V[:,0]; y = V[:,1] |
---|
726 | if use_cache is True: |
---|
727 | res = cache(f, (x, y), verbose=verbose) |
---|
728 | else: |
---|
729 | res = f(x, y) |
---|
730 | |
---|
731 | self.set_values(res, location=location, indices=indices) |
---|
732 | elif location == 'vertices': |
---|
733 | # This is the default branch taken by set_quantity |
---|
734 | M = self.domain.number_of_triangles |
---|
735 | V = self.domain.get_vertex_coordinates() |
---|
736 | |
---|
737 | x = V[:,0]; |
---|
738 | y = V[:,1] |
---|
739 | if use_cache is True: |
---|
740 | #print 'Caching function' |
---|
741 | values = cache(f, (x, y), verbose=verbose) |
---|
742 | else: |
---|
743 | if verbose is True: |
---|
744 | print 'Evaluating function in set_values' |
---|
745 | values = f(x, y) |
---|
746 | |
---|
747 | # FIXME (Ole): This code should replace all the |
---|
748 | # rest of this function and it would work, except |
---|
749 | # one unit test in test_region fails. |
---|
750 | # If that could be resolved this one will be |
---|
751 | # more robust and simple. |
---|
752 | |
---|
753 | # This should be removed |
---|
754 | if is_scalar(values): |
---|
755 | # Function returned a constant value |
---|
756 | self.set_values_from_constant(values, location, |
---|
757 | indices, verbose) |
---|
758 | return |
---|
759 | |
---|
760 | # This should be removed |
---|
761 | if indices is None: |
---|
762 | for j in range(3): |
---|
763 | self.vertex_values[:, j] = values[j::3] |
---|
764 | else: |
---|
765 | # Brute force |
---|
766 | for i in indices: |
---|
767 | for j in range(3): |
---|
768 | self.vertex_values[i, j] = values[3*i + j] |
---|
769 | else: |
---|
770 | raise Exception, 'Not implemented: %s' % location |
---|
771 | |
---|
772 | ## |
---|
773 | # @brief Set values based on geo referenced geospatial data object. |
---|
774 | # @param geospatial_data ?? |
---|
775 | # @param alpha ?? |
---|
776 | # @param location ?? |
---|
777 | # @param indices ?? |
---|
778 | # @param verbose ?? |
---|
779 | # @param use_cache ?? |
---|
780 | def set_values_from_geospatial_data(self, geospatial_data, |
---|
781 | alpha, |
---|
782 | location, |
---|
783 | indices, |
---|
784 | verbose=False, |
---|
785 | use_cache=False): |
---|
786 | """Set values based on geo referenced geospatial data object.""" |
---|
787 | |
---|
788 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
---|
789 | |
---|
790 | points = geospatial_data.get_data_points(absolute=False) |
---|
791 | values = geospatial_data.get_attributes() |
---|
792 | data_georef = geospatial_data.get_geo_reference() |
---|
793 | |
---|
794 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
---|
795 | |
---|
796 | points = ensure_numeric(points, num.float) |
---|
797 | values = ensure_numeric(values, num.float) |
---|
798 | |
---|
799 | if location != 'vertices': |
---|
800 | msg = ("set_values_from_points is only defined for " |
---|
801 | "location='vertices'") |
---|
802 | raise Exception, msg |
---|
803 | |
---|
804 | # Take care of georeferencing |
---|
805 | if data_georef is None: |
---|
806 | data_georef = Geo_reference() |
---|
807 | |
---|
808 | mesh_georef = self.domain.geo_reference |
---|
809 | |
---|
810 | # Call fit_interpolate.fit function |
---|
811 | args = (points, ) |
---|
812 | kwargs = {'vertex_coordinates': None, |
---|
813 | 'triangles': None, |
---|
814 | 'mesh': self.domain.mesh, |
---|
815 | 'point_attributes': values, |
---|
816 | 'data_origin': data_georef.get_origin(), |
---|
817 | 'mesh_origin': mesh_georef.get_origin(), |
---|
818 | 'alpha': alpha, |
---|
819 | 'verbose': verbose} |
---|
820 | |
---|
821 | vertex_attributes = apply(fit_to_mesh, args, kwargs) |
---|
822 | |
---|
823 | # Call underlying method using array values |
---|
824 | self.set_values_from_array(vertex_attributes, location, indices, |
---|
825 | use_cache=use_cache, verbose=verbose) |
---|
826 | |
---|
827 | ## |
---|
828 | # @brief Set quantity values from arbitray data points. |
---|
829 | # @param points ?? |
---|
830 | # @param values ?? |
---|
831 | # @param alpha ?? |
---|
832 | # @param location ?? |
---|
833 | # @param indices ?? |
---|
834 | # @param data_georef ?? |
---|
835 | # @param verbose True if this method is to be verbose. |
---|
836 | # @param use_cache ?? |
---|
837 | def set_values_from_points(self, points, |
---|
838 | values, |
---|
839 | alpha, |
---|
840 | location, |
---|
841 | indices, |
---|
842 | data_georef=None, |
---|
843 | verbose=False, |
---|
844 | use_cache=False): |
---|
845 | """Set quantity values from arbitray data points using fit_interpolate.fit""" |
---|
846 | |
---|
847 | raise Exception, 'set_values_from_points is obsolete, use geospatial data object instead' |
---|
848 | |
---|
849 | ## |
---|
850 | # @brief Set quantity based on arbitrary points in a points file. |
---|
851 | # @param filename Path to the points file. |
---|
852 | # @param attribute_name |
---|
853 | # @param alpha |
---|
854 | # @param location |
---|
855 | # @param indices |
---|
856 | # @param verbose True if this method is to be verbose. |
---|
857 | # @param use_cache |
---|
858 | # @param max_read_lines |
---|
859 | def set_values_from_file(self, filename, |
---|
860 | attribute_name, |
---|
861 | alpha, |
---|
862 | location, |
---|
863 | indices, |
---|
864 | verbose=False, |
---|
865 | use_cache=False, |
---|
866 | max_read_lines=None): |
---|
867 | """Set quantity based on arbitrary points in a points file using |
---|
868 | attribute_name selects name of attribute present in file. |
---|
869 | If attribute_name is not specified, use first available attribute |
---|
870 | as defined in geospatial_data. |
---|
871 | """ |
---|
872 | |
---|
873 | from types import StringType |
---|
874 | |
---|
875 | msg = 'Filename must be a text string' |
---|
876 | assert type(filename) == StringType, msg |
---|
877 | |
---|
878 | if location != 'vertices': |
---|
879 | msg = "set_values_from_file is only defined for location='vertices'" |
---|
880 | raise Exception, msg |
---|
881 | |
---|
882 | |
---|
883 | # FIXME(Ole): I noticed a couple of examples where this caused |
---|
884 | # a crash in fittng, so disabled it until I can investigate further |
---|
885 | # Sorry. 23 Jan 2009. Logged as ticket:314 |
---|
886 | if False: |
---|
887 | # Use mesh as defined by domain |
---|
888 | # This used to cause problems for caching due to quantities |
---|
889 | # changing, but it now works using the appropriate Mesh object. |
---|
890 | # This should close ticket:242 |
---|
891 | vertex_attributes = fit_to_mesh(filename, |
---|
892 | mesh=self.domain.mesh, |
---|
893 | alpha=alpha, |
---|
894 | attribute_name=attribute_name, |
---|
895 | use_cache=use_cache, |
---|
896 | verbose=verbose, |
---|
897 | max_read_lines=max_read_lines) |
---|
898 | else: |
---|
899 | # This variant will cause Mesh object to be recreated |
---|
900 | # in fit_to_mesh thus doubling up on the neighbour structure |
---|
901 | # FIXME(Ole): This is now obsolete 19 Jan 2009. |
---|
902 | nodes = self.domain.get_nodes(absolute=True) |
---|
903 | triangles = self.domain.get_triangles() |
---|
904 | vertex_attributes = fit_to_mesh(filename, |
---|
905 | nodes, triangles, |
---|
906 | mesh=None, |
---|
907 | alpha=alpha, |
---|
908 | attribute_name=attribute_name, |
---|
909 | use_cache=use_cache, |
---|
910 | verbose=verbose, |
---|
911 | max_read_lines=max_read_lines) |
---|
912 | |
---|
913 | # Call underlying method using array values |
---|
914 | if verbose: |
---|
915 | print 'Applying fitted data to domain' |
---|
916 | self.set_values_from_array(vertex_attributes, location, |
---|
917 | indices, use_cache=use_cache, |
---|
918 | verbose=verbose) |
---|
919 | |
---|
920 | ## |
---|
921 | # @brief Get index for maximum or minimum value of quantity. |
---|
922 | # @param mode Either 'max' or 'min'. |
---|
923 | # @param indices Set of IDs of elements to work on. |
---|
924 | def get_extremum_index(self, mode=None, indices=None): |
---|
925 | """Return index for maximum or minimum value of quantity (on centroids) |
---|
926 | |
---|
927 | Optional arguments: |
---|
928 | mode is either 'max'(default) or 'min'. |
---|
929 | indices is the set of element ids that the operation applies to. |
---|
930 | |
---|
931 | Usage: |
---|
932 | i = get_extreme_index() |
---|
933 | |
---|
934 | Notes: |
---|
935 | We do not seek the extremum at vertices as each vertex can |
---|
936 | have multiple values - one for each triangle sharing it. |
---|
937 | |
---|
938 | If there are multiple cells with same maximum value, the |
---|
939 | first cell encountered in the triangle array is returned. |
---|
940 | """ |
---|
941 | |
---|
942 | V = self.get_values(location='centroids', indices=indices) |
---|
943 | |
---|
944 | # Always return absolute indices |
---|
945 | if mode is None or mode == 'max': |
---|
946 | i = num.argmax(V) |
---|
947 | elif mode == 'min': |
---|
948 | i = num.argmin(V) |
---|
949 | else: |
---|
950 | raise ValueError, 'Bad mode value, got: %s' % str(mode) |
---|
951 | |
---|
952 | if indices is None: |
---|
953 | return i |
---|
954 | else: |
---|
955 | return indices[i] |
---|
956 | |
---|
957 | ## |
---|
958 | # @brief Get index for maximum value of quantity. |
---|
959 | # @param indices Set of IDs of elements to work on. |
---|
960 | def get_maximum_index(self, indices=None): |
---|
961 | """See get extreme index for details""" |
---|
962 | |
---|
963 | return self.get_extremum_index(mode='max', indices=indices) |
---|
964 | |
---|
965 | ## |
---|
966 | # @brief Return maximum value of quantity (on centroids). |
---|
967 | # @param indices Set of IDs of elements to work on. |
---|
968 | def get_maximum_value(self, indices=None): |
---|
969 | """Return maximum value of quantity (on centroids) |
---|
970 | |
---|
971 | Optional argument: |
---|
972 | indices is the set of element ids that the operation applies to. |
---|
973 | |
---|
974 | Usage: |
---|
975 | v = get_maximum_value() |
---|
976 | |
---|
977 | Note, we do not seek the maximum at vertices as each vertex can |
---|
978 | have multiple values - one for each triangle sharing it |
---|
979 | """ |
---|
980 | |
---|
981 | i = self.get_maximum_index(indices) |
---|
982 | V = self.get_values(location='centroids') #, indices=indices) |
---|
983 | |
---|
984 | return V[i] |
---|
985 | |
---|
986 | ## |
---|
987 | # @brief Get location of maximum value of quantity (on centroids). |
---|
988 | # @param indices Set of IDs of elements to work on. |
---|
989 | def get_maximum_location(self, indices=None): |
---|
990 | """Return location of maximum value of quantity (on centroids) |
---|
991 | |
---|
992 | Optional argument: |
---|
993 | indices is the set of element ids that the operation applies to. |
---|
994 | |
---|
995 | Usage: |
---|
996 | x, y = get_maximum_location() |
---|
997 | |
---|
998 | Notes: |
---|
999 | We do not seek the maximum at vertices as each vertex can |
---|
1000 | have multiple values - one for each triangle sharing it. |
---|
1001 | |
---|
1002 | If there are multiple cells with same maximum value, the |
---|
1003 | first cell encountered in the triangle array is returned. |
---|
1004 | """ |
---|
1005 | |
---|
1006 | i = self.get_maximum_index(indices) |
---|
1007 | x, y = self.domain.get_centroid_coordinates()[i] |
---|
1008 | |
---|
1009 | return x, y |
---|
1010 | |
---|
1011 | ## |
---|
1012 | # @brief Get index for minimum value of quantity. |
---|
1013 | # @param indices Set of IDs of elements to work on. |
---|
1014 | def get_minimum_index(self, indices=None): |
---|
1015 | """See get extreme index for details""" |
---|
1016 | |
---|
1017 | return self.get_extremum_index(mode='min', indices=indices) |
---|
1018 | |
---|
1019 | ## |
---|
1020 | # @brief Return minimum value of quantity (on centroids). |
---|
1021 | # @param indices Set of IDs of elements to work on. |
---|
1022 | def get_minimum_value(self, indices=None): |
---|
1023 | """Return minimum value of quantity (on centroids) |
---|
1024 | |
---|
1025 | Optional argument: |
---|
1026 | indices is the set of element ids that the operation applies to. |
---|
1027 | |
---|
1028 | Usage: |
---|
1029 | v = get_minimum_value() |
---|
1030 | |
---|
1031 | See get_maximum_value for more details. |
---|
1032 | """ |
---|
1033 | |
---|
1034 | i = self.get_minimum_index(indices) |
---|
1035 | V = self.get_values(location='centroids') |
---|
1036 | |
---|
1037 | return V[i] |
---|
1038 | |
---|
1039 | |
---|
1040 | ## |
---|
1041 | # @brief Get location of minimum value of quantity (on centroids). |
---|
1042 | # @param indices Set of IDs of elements to work on. |
---|
1043 | def get_minimum_location(self, indices=None): |
---|
1044 | """Return location of minimum value of quantity (on centroids) |
---|
1045 | |
---|
1046 | Optional argument: |
---|
1047 | indices is the set of element ids that the operation applies to. |
---|
1048 | |
---|
1049 | Usage: |
---|
1050 | x, y = get_minimum_location() |
---|
1051 | |
---|
1052 | Notes: |
---|
1053 | We do not seek the maximum at vertices as each vertex can |
---|
1054 | have multiple values - one for each triangle sharing it. |
---|
1055 | |
---|
1056 | If there are multiple cells with same maximum value, the |
---|
1057 | first cell encountered in the triangle array is returned. |
---|
1058 | """ |
---|
1059 | |
---|
1060 | i = self.get_minimum_index(indices) |
---|
1061 | x, y = self.domain.get_centroid_coordinates()[i] |
---|
1062 | |
---|
1063 | return x, y |
---|
1064 | |
---|
1065 | ## |
---|
1066 | # @brief Get values at interpolation points. |
---|
1067 | # @param interpolation_points List of UTM coords or geospatial data object. |
---|
1068 | # @param use_cache ?? |
---|
1069 | # @param verbose True if this method is to be verbose. |
---|
1070 | def get_interpolated_values(self, interpolation_points, |
---|
1071 | use_cache=False, |
---|
1072 | verbose=False): |
---|
1073 | """Get values at interpolation points |
---|
1074 | |
---|
1075 | The argument interpolation points must be given as either a |
---|
1076 | list of absolute UTM coordinates or a geospatial data object. |
---|
1077 | """ |
---|
1078 | |
---|
1079 | # FIXME (Ole): Points might be converted to coordinates relative to mesh origin |
---|
1080 | # This could all be refactored using the |
---|
1081 | # 'change_points_geo_ref' method of Class geo_reference. |
---|
1082 | # The purpose is to make interpolation points relative |
---|
1083 | # to the mesh origin. |
---|
1084 | # |
---|
1085 | # Speed is also a consideration here. |
---|
1086 | |
---|
1087 | # Ensure that interpolation points is either a list of |
---|
1088 | # points, Nx2 array, or geospatial and convert to numeric array |
---|
1089 | if isinstance(interpolation_points, Geospatial_data): |
---|
1090 | # Ensure interpolation points are in absolute UTM coordinates |
---|
1091 | interpolation_points = \ |
---|
1092 | interpolation_points.get_data_points(absolute=True) |
---|
1093 | |
---|
1094 | # Reconcile interpolation points with georeference of domain |
---|
1095 | interpolation_points = \ |
---|
1096 | self.domain.geo_reference.get_relative(interpolation_points) |
---|
1097 | interpolation_points = ensure_numeric(interpolation_points) |
---|
1098 | |
---|
1099 | |
---|
1100 | # Get internal representation (disconnected) of vertex values |
---|
1101 | vertex_values, triangles = self.get_vertex_values(xy=False, |
---|
1102 | smooth=False) |
---|
1103 | |
---|
1104 | # Get possibly precomputed interpolation object |
---|
1105 | I = self.domain.get_interpolation_object() |
---|
1106 | |
---|
1107 | # Call interpolate method with interpolation points |
---|
1108 | result = I.interpolate_block(vertex_values, interpolation_points, |
---|
1109 | use_cache=use_cache, verbose=verbose) |
---|
1110 | |
---|
1111 | return result |
---|
1112 | |
---|
1113 | ## |
---|
1114 | # @brief Get values as an array. |
---|
1115 | # @param interpolation_points List of coords to get values at. |
---|
1116 | # @param location Where to store results. |
---|
1117 | # @param indices Set of IDs of elements to work on. |
---|
1118 | # @param use_cache |
---|
1119 | # @param verbose True if this method is to be verbose. |
---|
1120 | def get_values(self, interpolation_points=None, |
---|
1121 | location='vertices', |
---|
1122 | indices=None, |
---|
1123 | use_cache=False, |
---|
1124 | verbose=False): |
---|
1125 | """Get values for quantity |
---|
1126 | |
---|
1127 | Extract values for quantity as a numeric array. |
---|
1128 | |
---|
1129 | Inputs: |
---|
1130 | interpolation_points: List of x, y coordinates where value is |
---|
1131 | sought (using interpolation). If points |
---|
1132 | are given, values of location and indices |
---|
1133 | are ignored. Assume either absolute UTM |
---|
1134 | coordinates or geospatial data object. |
---|
1135 | |
---|
1136 | location: Where values are to be stored. |
---|
1137 | Permissible options are: vertices, edges, centroids |
---|
1138 | and unique vertices. Default is 'vertices' |
---|
1139 | |
---|
1140 | |
---|
1141 | The returned values will have the leading dimension equal to length of the indices list or |
---|
1142 | N (all values) if indices is None. |
---|
1143 | |
---|
1144 | In case of location == 'centroids' the dimension of returned |
---|
1145 | values will be a list or a numerical array of length N, N being |
---|
1146 | the number of elements. |
---|
1147 | |
---|
1148 | In case of location == 'vertices' or 'edges' the dimension of |
---|
1149 | returned values will be of dimension Nx3 |
---|
1150 | |
---|
1151 | In case of location == 'unique vertices' the average value at |
---|
1152 | each vertex will be returned and the dimension of returned values |
---|
1153 | will be a 1d array of length "number of vertices" |
---|
1154 | |
---|
1155 | Indices is the set of element ids that the operation applies to. |
---|
1156 | |
---|
1157 | The values will be stored in elements following their |
---|
1158 | internal ordering. |
---|
1159 | """ |
---|
1160 | |
---|
1161 | # FIXME (Ole): I reckon we should have the option of passing a |
---|
1162 | # polygon into get_values. The question becomes how |
---|
1163 | # resulting values should be ordered. |
---|
1164 | |
---|
1165 | if verbose is True: |
---|
1166 | print 'Getting values from %s' % location |
---|
1167 | |
---|
1168 | if interpolation_points is not None: |
---|
1169 | return self.get_interpolated_values(interpolation_points, |
---|
1170 | use_cache=use_cache, |
---|
1171 | verbose=verbose) |
---|
1172 | |
---|
1173 | # FIXME (Ole): Consider deprecating 'edges' - but not if it is used |
---|
1174 | # elsewhere in ANUGA. |
---|
1175 | # Edges have already been deprecated in set_values, see changeset:5521, |
---|
1176 | # but *might* be useful in get_values. Any thoughts anyone? |
---|
1177 | |
---|
1178 | if location not in ['vertices', 'centroids', |
---|
1179 | 'edges', 'unique vertices']: |
---|
1180 | msg = 'Invalid location: %s' % location |
---|
1181 | raise Exception, msg |
---|
1182 | |
---|
1183 | import types |
---|
1184 | |
---|
1185 | assert type(indices) in [types.ListType, types.NoneType, |
---|
1186 | num.ndarray], \ |
---|
1187 | 'Indices must be a list or None' #??# |
---|
1188 | |
---|
1189 | if location == 'centroids': |
---|
1190 | if (indices == None): |
---|
1191 | indices = range(len(self)) |
---|
1192 | return num.take(self.centroid_values, indices, axis=0) |
---|
1193 | elif location == 'edges': |
---|
1194 | if (indices == None): |
---|
1195 | indices = range(len(self)) |
---|
1196 | return num.take(self.edge_values, indices, axis=0) |
---|
1197 | elif location == 'unique vertices': |
---|
1198 | if (indices == None): |
---|
1199 | indices=range(self.domain.get_number_of_nodes()) |
---|
1200 | vert_values = [] |
---|
1201 | |
---|
1202 | # Go through list of unique vertices |
---|
1203 | for unique_vert_id in indices: |
---|
1204 | triangles = self.domain.get_triangles_and_vertices_per_node(node=unique_vert_id) |
---|
1205 | |
---|
1206 | # In case there are unused points |
---|
1207 | if len(triangles) == 0: |
---|
1208 | msg = 'Unique vertex not associated with triangles' |
---|
1209 | raise Exception, msg |
---|
1210 | |
---|
1211 | # Go through all triangle, vertex pairs |
---|
1212 | # Average the values |
---|
1213 | # FIXME (Ole): Should we merge this with get_vertex_values |
---|
1214 | sum = 0 |
---|
1215 | for triangle_id, vertex_id in triangles: |
---|
1216 | sum += self.vertex_values[triangle_id, vertex_id] |
---|
1217 | vert_values.append(sum / len(triangles)) |
---|
1218 | return num.array(vert_values, num.float) |
---|
1219 | else: |
---|
1220 | if (indices is None): |
---|
1221 | indices = range(len(self)) |
---|
1222 | return num.take(self.vertex_values, indices, axis=0) |
---|
1223 | |
---|
1224 | ## |
---|
1225 | # @brief Set vertex values for all unique vertices based on array. |
---|
1226 | # @param A Array to set values with. |
---|
1227 | # @param indices Set of IDs of elements to work on. |
---|
1228 | # @param use_cache ?? |
---|
1229 | # @param verbose?? |
---|
1230 | def set_vertex_values(self, A, |
---|
1231 | indices=None, |
---|
1232 | use_cache=False, |
---|
1233 | verbose=False): |
---|
1234 | """Set vertex values for all unique vertices based on input array A |
---|
1235 | which has one entry per unique vertex, i.e. one value for each row in |
---|
1236 | array self.domain.nodes. |
---|
1237 | |
---|
1238 | indices is the list of vertex_id's that will be set. |
---|
1239 | |
---|
1240 | This function is used by set_values_from_array |
---|
1241 | """ |
---|
1242 | |
---|
1243 | # Check that A can be converted to array and is of appropriate dim |
---|
1244 | A = ensure_numeric(A, num.float) |
---|
1245 | assert len(A.shape) == 1 |
---|
1246 | |
---|
1247 | if indices is None: |
---|
1248 | assert A.shape[0] == self.domain.get_nodes().shape[0] |
---|
1249 | vertex_list = range(A.shape[0]) |
---|
1250 | else: |
---|
1251 | assert A.shape[0] == len(indices) |
---|
1252 | vertex_list = indices |
---|
1253 | |
---|
1254 | #FIXME(Ole): This function ought to be faster. |
---|
1255 | # We need to get the triangles_and_vertices list |
---|
1256 | # from domain in one hit, then cache the computation of the |
---|
1257 | # Nx3 array of vertex values that can then be assigned using |
---|
1258 | # set_values_from_array. |
---|
1259 | # |
---|
1260 | # Alternatively, some C code would be handy |
---|
1261 | # |
---|
1262 | self._set_vertex_values(vertex_list, A) |
---|
1263 | |
---|
1264 | ## |
---|
1265 | # @brief Go through list of unique vertices. |
---|
1266 | # @param vertex_list ?? |
---|
1267 | # @param A ?? |
---|
1268 | def _set_vertex_values(self, vertex_list, A): |
---|
1269 | """Go through list of unique vertices |
---|
1270 | This is the common case e.g. when values |
---|
1271 | are obtained from a pts file through fitting |
---|
1272 | """ |
---|
1273 | |
---|
1274 | # Go through list of unique vertices |
---|
1275 | for i_index, unique_vert_id in enumerate(vertex_list): |
---|
1276 | triangles = self.domain.get_triangles_and_vertices_per_node(node=unique_vert_id) |
---|
1277 | |
---|
1278 | # In case there are unused points |
---|
1279 | if len(triangles) == 0: |
---|
1280 | continue |
---|
1281 | |
---|
1282 | # Go through all triangle, vertex pairs |
---|
1283 | # touching vertex unique_vert_id and set corresponding vertex value |
---|
1284 | for triangle_id, vertex_id in triangles: |
---|
1285 | self.vertex_values[triangle_id, vertex_id] = A[i_index] |
---|
1286 | |
---|
1287 | # Intialise centroid and edge_values |
---|
1288 | self.interpolate() |
---|
1289 | |
---|
1290 | ## |
---|
1291 | # @brief Smooth vertex values. |
---|
1292 | def smooth_vertex_values(self, use_cache=False, verbose=False): |
---|
1293 | """Smooths vertex values.""" |
---|
1294 | |
---|
1295 | A, V = self.get_vertex_values(xy=False, smooth=True) |
---|
1296 | self.set_vertex_values(A, use_cache=use_cache, verbose=verbose) |
---|
1297 | |
---|
1298 | ############################################################################ |
---|
1299 | # Methods for outputting model results |
---|
1300 | ############################################################################ |
---|
1301 | |
---|
1302 | ## |
---|
1303 | # @brief Get vertex values like an OBJ format i.e. one value per node. |
---|
1304 | # @param xy True if we return X and Y as well as A and V. |
---|
1305 | # @param smooth True if vertex values are to be smoothed. |
---|
1306 | # @param precision The type of the result values (default float). |
---|
1307 | def get_vertex_values(self, xy=True, smooth=None, precision=None): |
---|
1308 | """Return vertex values like an OBJ format i.e. one value per node. |
---|
1309 | |
---|
1310 | The vertex values are returned as one sequence in the 1D float array A. |
---|
1311 | If requested the coordinates will be returned in 1D arrays X and Y. |
---|
1312 | |
---|
1313 | The connectivity is represented as an integer array, V, of dimension |
---|
1314 | Mx3, where M is the number of triangles. Each row has three indices |
---|
1315 | defining the triangle and they correspond to elements in the arrays |
---|
1316 | X, Y and A. |
---|
1317 | |
---|
1318 | If smooth is True, vertex values corresponding to one common coordinate |
---|
1319 | set will be smoothed by taking the average of vertex values for each |
---|
1320 | node. In this case vertex coordinates will be de-duplicated |
---|
1321 | corresponding to the original nodes as obtained from the method |
---|
1322 | general_mesh.get_nodes() |
---|
1323 | |
---|
1324 | If no smoothings is required, vertex coordinates and values will be |
---|
1325 | aggregated as a concatenation of values at vertices 0, vertices 1 and |
---|
1326 | vertices 2. This corresponds to the node coordinates obtained from the |
---|
1327 | method general_mesh.get_vertex_coordinates() |
---|
1328 | |
---|
1329 | Calling convention |
---|
1330 | if xy is True: |
---|
1331 | X, Y, A, V = get_vertex_values |
---|
1332 | else: |
---|
1333 | A, V = get_vertex_values |
---|
1334 | """ |
---|
1335 | |
---|
1336 | if smooth is None: |
---|
1337 | # Take default from domain |
---|
1338 | try: |
---|
1339 | smooth = self.domain.smooth |
---|
1340 | except: |
---|
1341 | smooth = False |
---|
1342 | |
---|
1343 | if precision is None: |
---|
1344 | precision = num.float |
---|
1345 | |
---|
1346 | if smooth is True: |
---|
1347 | # Ensure continuous vertex values by averaging values at each node |
---|
1348 | V = self.domain.get_triangles() |
---|
1349 | N = self.domain.number_of_full_nodes # Ignore ghost nodes if any |
---|
1350 | A = num.zeros(N, num.float) |
---|
1351 | points = self.domain.get_nodes() |
---|
1352 | |
---|
1353 | if 1: |
---|
1354 | # Fast C version |
---|
1355 | average_vertex_values(ensure_numeric(self.domain.vertex_value_indices), |
---|
1356 | ensure_numeric(self.domain.number_of_triangles_per_node), |
---|
1357 | ensure_numeric(self.vertex_values), |
---|
1358 | A) |
---|
1359 | A = A.astype(precision) |
---|
1360 | else: |
---|
1361 | # Slow Python version |
---|
1362 | current_node = 0 |
---|
1363 | k = 0 # Track triangles touching on node |
---|
1364 | total = 0.0 |
---|
1365 | for index in self.domain.vertex_value_indices: |
---|
1366 | if current_node == N: |
---|
1367 | msg = 'Current node exceeding number of nodes (%d) ' % N |
---|
1368 | raise Exception, msg |
---|
1369 | |
---|
1370 | k += 1 |
---|
1371 | |
---|
1372 | volume_id = index / 3 |
---|
1373 | vertex_id = index % 3 |
---|
1374 | |
---|
1375 | v = self.vertex_values[volume_id, vertex_id] |
---|
1376 | total += v |
---|
1377 | |
---|
1378 | if self.domain.number_of_triangles_per_node[current_node] == k: |
---|
1379 | A[current_node] = total/k |
---|
1380 | |
---|
1381 | # Move on to next node |
---|
1382 | total = 0.0 |
---|
1383 | k = 0 |
---|
1384 | current_node += 1 |
---|
1385 | else: |
---|
1386 | # Return disconnected internal vertex values |
---|
1387 | V = self.domain.get_disconnected_triangles() |
---|
1388 | points = self.domain.get_vertex_coordinates() |
---|
1389 | A = self.vertex_values.flatten().astype(precision) |
---|
1390 | |
---|
1391 | # Return |
---|
1392 | if xy is True: |
---|
1393 | X = points[:,0].astype(precision) |
---|
1394 | Y = points[:,1].astype(precision) |
---|
1395 | |
---|
1396 | return X, Y, A, V |
---|
1397 | else: |
---|
1398 | return A, V |
---|
1399 | |
---|
1400 | ## |
---|
1401 | # @brief Extrapolate conserved quantities from centroid. |
---|
1402 | def extrapolate_first_order(self): |
---|
1403 | """Extrapolate conserved quantities from centroid to vertices and edges |
---|
1404 | for each volume using first order scheme. |
---|
1405 | """ |
---|
1406 | |
---|
1407 | qc = self.centroid_values |
---|
1408 | qv = self.vertex_values |
---|
1409 | qe = self.edge_values |
---|
1410 | |
---|
1411 | for i in range(3): |
---|
1412 | qv[:,i] = qc |
---|
1413 | qe[:,i] = qc |
---|
1414 | |
---|
1415 | self.x_gradient *= 0.0 |
---|
1416 | self.y_gradient *= 0.0 |
---|
1417 | |
---|
1418 | ## |
---|
1419 | # @brief Compute the integral of quantity across entire domain. |
---|
1420 | # @return The integral. |
---|
1421 | def get_integral(self): |
---|
1422 | """Compute the integral of quantity across entire domain.""" |
---|
1423 | |
---|
1424 | areas = self.domain.get_areas() |
---|
1425 | integral = 0 |
---|
1426 | for k in range(len(self.domain)): |
---|
1427 | area = areas[k] |
---|
1428 | qc = self.centroid_values[k] |
---|
1429 | integral += qc*area |
---|
1430 | |
---|
1431 | return integral |
---|
1432 | |
---|
1433 | ## |
---|
1434 | # @brief get the gradients. |
---|
1435 | def get_gradients(self): |
---|
1436 | """Provide gradients. Use compute_gradients first.""" |
---|
1437 | |
---|
1438 | return self.x_gradient, self.y_gradient |
---|
1439 | |
---|
1440 | ## |
---|
1441 | # @brief ?? |
---|
1442 | # @param timestep ?? |
---|
1443 | def update(self, timestep): |
---|
1444 | # Call correct module function |
---|
1445 | # (either from this module or C-extension) |
---|
1446 | return update(self, timestep) |
---|
1447 | |
---|
1448 | ## |
---|
1449 | # @brief ?? |
---|
1450 | def compute_gradients(self): |
---|
1451 | # Call correct module function |
---|
1452 | # (either from this module or C-extension) |
---|
1453 | return compute_gradients(self) |
---|
1454 | |
---|
1455 | ## |
---|
1456 | # @brief ?? |
---|
1457 | def limit(self): |
---|
1458 | # Call correct module depending on whether |
---|
1459 | # basing limit calculations on edges or vertices |
---|
1460 | limit_old(self) |
---|
1461 | |
---|
1462 | ## |
---|
1463 | # @brief ?? |
---|
1464 | def limit_vertices_by_all_neighbours(self): |
---|
1465 | # Call correct module function |
---|
1466 | # (either from this module or C-extension) |
---|
1467 | limit_vertices_by_all_neighbours(self) |
---|
1468 | |
---|
1469 | ## |
---|
1470 | # @brief ?? |
---|
1471 | def limit_edges_by_all_neighbours(self): |
---|
1472 | # Call correct module function |
---|
1473 | # (either from this module or C-extension) |
---|
1474 | limit_edges_by_all_neighbours(self) |
---|
1475 | |
---|
1476 | ## |
---|
1477 | # @brief ?? |
---|
1478 | def limit_edges_by_neighbour(self): |
---|
1479 | # Call correct module function |
---|
1480 | # (either from this module or C-extension) |
---|
1481 | limit_edges_by_neighbour(self) |
---|
1482 | |
---|
1483 | ## |
---|
1484 | # @brief ?? |
---|
1485 | def extrapolate_second_order(self): |
---|
1486 | # Call correct module function |
---|
1487 | # (either from this module or C-extension) |
---|
1488 | compute_gradients(self) |
---|
1489 | extrapolate_from_gradient(self) |
---|
1490 | |
---|
1491 | ## |
---|
1492 | # @brief ?? |
---|
1493 | def extrapolate_second_order_and_limit_by_edge(self): |
---|
1494 | # Call correct module function |
---|
1495 | # (either from this module or C-extension) |
---|
1496 | extrapolate_second_order_and_limit_by_edge(self) |
---|
1497 | |
---|
1498 | ## |
---|
1499 | # @brief ?? |
---|
1500 | def extrapolate_second_order_and_limit_by_vertex(self): |
---|
1501 | # Call correct module function |
---|
1502 | # (either from this module or C-extension) |
---|
1503 | extrapolate_second_order_and_limit_by_vertex(self) |
---|
1504 | |
---|
1505 | ## |
---|
1506 | # @brief ?? |
---|
1507 | # @param bound ?? |
---|
1508 | def bound_vertices_below_by_constant(self, bound): |
---|
1509 | # Call correct module function |
---|
1510 | # (either from this module or C-extension) |
---|
1511 | bound_vertices_below_by_constant(self, bound) |
---|
1512 | |
---|
1513 | ## |
---|
1514 | # @brief ?? |
---|
1515 | # @param quantity ?? |
---|
1516 | def bound_vertices_below_by_quantity(self, quantity): |
---|
1517 | # Call correct module function |
---|
1518 | # (either from this module or C-extension) |
---|
1519 | |
---|
1520 | # check consistency |
---|
1521 | assert self.domain == quantity.domain |
---|
1522 | bound_vertices_below_by_quantity(self, quantity) |
---|
1523 | |
---|
1524 | ## |
---|
1525 | # @brief ?? |
---|
1526 | def backup_centroid_values(self): |
---|
1527 | # Call correct module function |
---|
1528 | # (either from this module or C-extension) |
---|
1529 | backup_centroid_values(self) |
---|
1530 | |
---|
1531 | ## |
---|
1532 | # @brief ?? |
---|
1533 | # @param a ?? |
---|
1534 | # @param b ?? |
---|
1535 | def saxpy_centroid_values(self, a, b): |
---|
1536 | # Call correct module function |
---|
1537 | # (either from this module or C-extension) |
---|
1538 | saxpy_centroid_values(self, a, b) |
---|
1539 | |
---|
1540 | |
---|
1541 | ## |
---|
1542 | # @brief OBSOLETE! |
---|
1543 | class Conserved_quantity(Quantity): |
---|
1544 | """Class conserved quantity being removed, use Quantity.""" |
---|
1545 | |
---|
1546 | def __init__(self, domain, vertex_values=None): |
---|
1547 | msg = 'ERROR: Use Quantity instead of Conserved_quantity' |
---|
1548 | raise Exception, msg |
---|
1549 | |
---|
1550 | |
---|
1551 | ###### |
---|
1552 | # Prepare the C extensions. |
---|
1553 | ###### |
---|
1554 | |
---|
1555 | from anuga.utilities import compile |
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1556 | |
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1557 | if compile.can_use_C_extension('quantity_ext.c'): |
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1558 | # Underlying C implementations can be accessed |
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1559 | |
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1560 | from quantity_ext import \ |
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1561 | average_vertex_values,\ |
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1562 | backup_centroid_values,\ |
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1563 | saxpy_centroid_values,\ |
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1564 | compute_gradients,\ |
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1565 | limit_old,\ |
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1566 | limit_vertices_by_all_neighbours,\ |
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1567 | limit_edges_by_all_neighbours,\ |
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1568 | limit_edges_by_neighbour,\ |
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1569 | limit_gradient_by_neighbour,\ |
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1570 | extrapolate_from_gradient,\ |
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1571 | extrapolate_second_order_and_limit_by_edge,\ |
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1572 | extrapolate_second_order_and_limit_by_vertex,\ |
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1573 | bound_vertices_below_by_constant,\ |
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1574 | bound_vertices_below_by_quantity,\ |
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1575 | interpolate_from_vertices_to_edges,\ |
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1576 | interpolate_from_edges_to_vertices,\ |
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1577 | update |
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1578 | else: |
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1579 | msg = 'C implementations could not be accessed by %s.\n ' % __file__ |
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1580 | msg += 'Make sure compile_all.py has been run as described in ' |
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1581 | msg += 'the ANUGA installation guide.' |
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1582 | raise Exception, msg |
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