1 | /*! |
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2 | \file axis_algorithm_interpolate.cpp |
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3 | \author Ha NGUYEN |
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4 | \since 23 June 2015 |
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5 | \date 02 Jul 2015 |
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6 | |
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7 | \brief Algorithm for interpolation on an axis. |
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8 | */ |
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9 | #include "axis_algorithm_interpolate.hpp" |
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10 | #include <algorithm> |
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11 | #include "context.hpp" |
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12 | #include "context_client.hpp" |
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13 | #include "utils.hpp" |
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14 | #include "grid.hpp" |
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15 | #include "distribution_client.hpp" |
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16 | |
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17 | namespace xios { |
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18 | |
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19 | CAxisAlgorithmInterpolate::CAxisAlgorithmInterpolate(CAxis* axisDestination, CAxis* axisSource, CInterpolateAxis* interpAxis) |
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20 | : CAxisAlgorithmTransformation(axisDestination, axisSource), coordinate_(), transPosition_() |
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21 | { |
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22 | interpAxis->checkValid(axisSource); |
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23 | order_ = interpAxis->order.getValue(); |
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24 | if (!interpAxis->coordinate.isEmpty()) |
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25 | { |
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26 | coordinate_ = interpAxis->coordinate.getValue(); |
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27 | this->idAuxInputs_.resize(1); |
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28 | this->idAuxInputs_[0] = coordinate_; |
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29 | } |
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30 | } |
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31 | |
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32 | /*! |
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33 | Compute the index mapping between axis on grid source and one on grid destination |
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34 | */ |
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35 | void CAxisAlgorithmInterpolate::computeIndexSourceMapping_(const std::vector<CArray<double,1>* >& dataAuxInputs) |
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36 | { |
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37 | CContext* context = CContext::getCurrent(); |
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38 | CContextClient* client=context->client; |
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39 | int nbClient = client->clientSize; |
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40 | CArray<bool,1>& axisMask = axisSrc_->mask; |
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41 | int srcSize = axisSrc_->n_glo.getValue(); |
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42 | std::vector<CArray<double,1> > vecAxisValue; |
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43 | |
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44 | // Fill in axis value from coordinate |
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45 | fillInAxisValue(vecAxisValue, dataAuxInputs); |
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46 | |
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47 | for (int idx = 0; idx < vecAxisValue.size(); ++idx) |
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48 | { |
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49 | CArray<double,1>& axisValue = vecAxisValue[idx]; |
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50 | std::vector<double> recvBuff(srcSize); |
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51 | std::vector<int> indexVec(srcSize); |
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52 | retrieveAllAxisValue(axisValue, axisMask, recvBuff, indexVec); |
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53 | XIOSAlgorithms::sortWithIndex<double, CVectorStorage>(recvBuff, indexVec); |
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54 | computeInterpolantPoint(recvBuff, indexVec, idx); |
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55 | } |
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56 | } |
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57 | |
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58 | /*! |
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59 | Compute the interpolant points |
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60 | Assume that we have all value of axis source, with these values, need to calculate weight (coeff) of Lagrange polynomial |
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61 | \param [in] axisValue all value of axis source |
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62 | \param [in] indexVec permutation index of axisValue |
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63 | */ |
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64 | void CAxisAlgorithmInterpolate::computeInterpolantPoint(const std::vector<double>& axisValue, const std::vector<int>& indexVec, int transPos) |
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65 | { |
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66 | std::vector<double>::const_iterator itb = axisValue.begin(), ite = axisValue.end(); |
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67 | std::vector<double>::const_iterator itLowerBound, itUpperBound, it; |
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68 | std::vector<int>::const_iterator itbVec = indexVec.begin(), itVec; |
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69 | const double sfmax = NumTraits<double>::sfmax(); |
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70 | |
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71 | int ibegin = axisDest_->begin.getValue(); |
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72 | CArray<double,1>& axisDestValue = axisDest_->value; |
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73 | int numValue = axisDestValue.numElements(); |
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74 | std::map<int, std::vector<std::pair<int,double> > > interpolatingIndexValues; |
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75 | |
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76 | for (int idx = 0; idx < numValue; ++idx) |
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77 | { |
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78 | double destValue = axisDestValue(idx); |
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79 | itLowerBound = std::lower_bound(itb, ite, destValue); |
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80 | itUpperBound = std::upper_bound(itb, ite, destValue); |
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81 | if ((ite != itUpperBound) && (sfmax == *itUpperBound)) itUpperBound = ite; |
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82 | |
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83 | // If the value is not in the range, that means we'll do extra-polation |
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84 | if (ite == itLowerBound) // extra-polation |
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85 | { |
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86 | itLowerBound = itb; |
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87 | itUpperBound = itb + order_+1; |
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88 | } |
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89 | else if (ite == itUpperBound) // extra-polation |
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90 | { |
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91 | itLowerBound = itUpperBound - order_-1; |
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92 | } |
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93 | else |
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94 | { |
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95 | if (itb != itLowerBound) --itLowerBound; |
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96 | if (ite != itUpperBound) ++itUpperBound; |
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97 | int order = (order_ + 1) - 2; |
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98 | bool down = true; |
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99 | for (int k = 0; k < order; ++k) |
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100 | { |
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101 | if ((itb != itLowerBound) && down) |
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102 | { |
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103 | --itLowerBound; |
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104 | down = false; |
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105 | continue; |
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106 | } |
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107 | if ((ite != itUpperBound) && (sfmax != *itUpperBound)) |
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108 | { |
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109 | ++itUpperBound; |
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110 | down = true; |
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111 | } |
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112 | } |
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113 | } |
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114 | |
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115 | for (it = itLowerBound; it != itUpperBound; ++it) |
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116 | { |
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117 | int index = std::distance(itb, it); |
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118 | interpolatingIndexValues[idx+ibegin].push_back(make_pair(indexVec[index],*it)); |
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119 | } |
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120 | } |
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121 | computeWeightedValueAndMapping(interpolatingIndexValues, transPos); |
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122 | } |
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123 | |
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124 | /*! |
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125 | Compute weight (coeff) of Lagrange's polynomial |
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126 | \param [in] interpolatingIndexValues the necessary axis value to calculate the coeffs |
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127 | */ |
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128 | void CAxisAlgorithmInterpolate::computeWeightedValueAndMapping(const std::map<int, std::vector<std::pair<int,double> > >& interpolatingIndexValues, int transPos) |
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129 | { |
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130 | TransformationIndexMap& transMap = this->transformationMapping_[transPos]; |
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131 | TransformationWeightMap& transWeight = this->transformationWeight_[transPos]; |
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132 | std::map<int, std::vector<std::pair<int,double> > >::const_iterator itb = interpolatingIndexValues.begin(), it, |
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133 | ite = interpolatingIndexValues.end(); |
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134 | int ibegin = axisDest_->begin.getValue(); |
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135 | for (it = itb; it != ite; ++it) |
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136 | { |
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137 | int globalIndexDest = it->first; |
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138 | double localValue = axisDest_->value(globalIndexDest - ibegin); |
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139 | const std::vector<std::pair<int,double> >& interpVal = it->second; |
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140 | int interpSize = interpVal.size(); |
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141 | transMap[globalIndexDest].resize(interpSize); |
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142 | transWeight[globalIndexDest].resize(interpSize); |
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143 | for (int idx = 0; idx < interpSize; ++idx) |
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144 | { |
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145 | int index = interpVal[idx].first; |
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146 | double weight = 1.0; |
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147 | |
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148 | for (int k = 0; k < interpSize; ++k) |
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149 | { |
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150 | if (k == idx) continue; |
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151 | weight *= (localValue - interpVal[k].second); |
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152 | weight /= (interpVal[idx].second - interpVal[k].second); |
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153 | } |
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154 | transMap[globalIndexDest][idx] = index; |
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155 | transWeight[globalIndexDest][idx] = weight; |
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156 | if (!transPosition_.empty()) |
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157 | { |
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158 | (this->transformationPosition_[transPos])[globalIndexDest] = transPosition_[transPos]; |
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159 | } |
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160 | } |
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161 | } |
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162 | } |
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163 | |
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164 | /*! |
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165 | Each client retrieves all values of an axis |
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166 | \param [in/out] recvBuff buffer for receiving values (already allocated) |
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167 | \param [in/out] indexVec mapping between values and global index of axis |
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168 | */ |
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169 | void CAxisAlgorithmInterpolate::retrieveAllAxisValue(const CArray<double,1>& axisValue, const CArray<bool,1>& axisMask, |
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170 | std::vector<double>& recvBuff, std::vector<int>& indexVec) |
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171 | { |
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172 | CContext* context = CContext::getCurrent(); |
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173 | CContextClient* client=context->client; |
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174 | int nbClient = client->clientSize; |
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175 | |
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176 | int srcSize = axisSrc_->n_glo.getValue(); |
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177 | int numValue = axisValue.numElements(); |
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178 | |
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179 | if (srcSize == numValue) // Only one client or axis not distributed |
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180 | { |
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181 | for (int idx = 0; idx < srcSize; ++idx) |
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182 | { |
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183 | if (axisMask(idx)) |
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184 | { |
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185 | recvBuff[idx] = axisValue(idx); |
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186 | indexVec[idx] = idx; |
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187 | } |
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188 | else recvBuff[idx] = NumTraits<double>::sfmax(); |
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189 | } |
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190 | |
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191 | } |
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192 | else // Axis distributed |
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193 | { |
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194 | double* sendValueBuff = new double [numValue]; |
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195 | int* sendIndexBuff = new int [numValue]; |
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196 | int* recvIndexBuff = new int [srcSize]; |
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197 | |
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198 | int ibegin = axisSrc_->begin.getValue(); |
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199 | for (int idx = 0; idx < numValue; ++idx) |
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200 | { |
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201 | if (axisMask(idx)) |
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202 | { |
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203 | sendValueBuff[idx] = axisValue(idx); |
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204 | sendIndexBuff[idx] = idx + ibegin; |
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205 | } |
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206 | else |
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207 | { |
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208 | sendValueBuff[idx] = NumTraits<double>::sfmax(); |
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209 | sendIndexBuff[idx] = -1; |
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210 | } |
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211 | } |
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212 | |
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213 | int* recvCount=new int[nbClient]; |
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214 | MPI_Allgather(&numValue,1,MPI_INT,recvCount,1,MPI_INT,client->intraComm); |
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215 | |
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216 | int* displ=new int[nbClient]; |
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217 | displ[0]=0 ; |
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218 | for(int n=1;n<nbClient;n++) displ[n]=displ[n-1]+recvCount[n-1]; |
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219 | |
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220 | // Each client have enough global info of axis |
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221 | MPI_Allgatherv(sendIndexBuff,numValue,MPI_INT,recvIndexBuff,recvCount,displ,MPI_INT,client->intraComm); |
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222 | MPI_Allgatherv(sendValueBuff,numValue,MPI_DOUBLE,&(recvBuff[0]),recvCount,displ,MPI_DOUBLE,client->intraComm); |
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223 | |
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224 | for (int idx = 0; idx < srcSize; ++idx) |
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225 | { |
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226 | indexVec[idx] = recvIndexBuff[idx]; |
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227 | } |
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228 | |
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229 | delete [] displ; |
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230 | delete [] recvCount; |
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231 | delete [] recvIndexBuff; |
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232 | delete [] sendIndexBuff; |
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233 | delete [] sendValueBuff; |
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234 | } |
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235 | } |
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236 | |
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237 | /*! |
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238 | Fill in axis value dynamically from a field whose grid is composed of a domain and an axis |
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239 | \param [in/out] vecAxisValue vector axis value filled in from input field |
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240 | */ |
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241 | void CAxisAlgorithmInterpolate::fillInAxisValue(std::vector<CArray<double,1> >& vecAxisValue, |
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242 | const std::vector<CArray<double,1>* >& dataAuxInputs) |
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243 | { |
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244 | if (coordinate_.empty()) |
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245 | { |
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246 | vecAxisValue.resize(1); |
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247 | vecAxisValue[0].resize(axisSrc_->value.numElements()); |
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248 | vecAxisValue[0] = axisSrc_->value; |
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249 | this->transformationMapping_.resize(1); |
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250 | this->transformationWeight_.resize(1); |
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251 | } |
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252 | else |
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253 | { |
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254 | CField* field = CField::get(coordinate_); |
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255 | CGrid* grid = field->grid; |
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256 | |
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257 | std::vector<CDomain*> domListP = grid->getDomains(); |
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258 | std::vector<CAxis*> axisListP = grid->getAxis(); |
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259 | if (domListP.empty() || axisListP.empty() || (1 < domListP.size()) || (1 < axisListP.size())) |
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260 | ERROR("CAxisAlgorithmInterpolate::fillInAxisValue(std::vector<CArray<double,1> >& vecAxisValue)", |
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261 | << "XIOS only supports dynamic interpolation with coordinate (field) associated with grid composed of a domain and an axis" |
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262 | << "Coordinate (field) id = " <<field->getId() << std::endl |
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263 | << "Associated grid id = " << grid->getId()); |
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264 | |
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265 | CDomain* dom = domListP[0]; |
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266 | size_t vecAxisValueSize = dom->i_index.numElements(); |
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267 | int niGlobDom = dom->ni_glo.getValue(); |
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268 | vecAxisValue.resize(vecAxisValueSize); |
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269 | if (transPosition_.empty()) |
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270 | { |
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271 | transPosition_.resize(vecAxisValueSize); |
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272 | for (size_t idx = 0; idx < vecAxisValueSize; ++idx) |
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273 | { |
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274 | transPosition_[idx].resize(1); |
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275 | transPosition_[idx][0] = (dom->i_index)(idx) + niGlobDom * (dom->j_index)(idx); |
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276 | // transPosition_[idx][0] = (dom->i_index)(idx); |
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277 | // transPosition_[idx][1] = (dom->j_index)(idx); |
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278 | } |
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279 | } |
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280 | this->transformationMapping_.resize(vecAxisValueSize); |
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281 | this->transformationWeight_.resize(vecAxisValueSize); |
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282 | this->transformationPosition_.resize(vecAxisValueSize); |
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283 | |
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284 | const CDistributionClient::GlobalLocalDataMap& globalLocalIndexSendToServer = grid->getDistributionClient()->getGlobalLocalDataSendToServer(); |
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285 | CDistributionClient::GlobalLocalDataMap::const_iterator itIndex, iteIndex = globalLocalIndexSendToServer.end(); |
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286 | size_t axisSrcSize = axisSrc_->index.numElements(); |
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287 | std::vector<int> globalDimension = grid->getGlobalDimension(); |
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288 | |
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289 | for (size_t idx = 0; idx < vecAxisValueSize; ++idx) |
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290 | { |
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291 | size_t axisValueSize = 0; |
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292 | for (size_t jdx = 0; jdx < axisSrcSize; ++jdx) |
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293 | { |
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294 | size_t globalIndex = ((dom->i_index)(idx) + (dom->j_index)(idx)*globalDimension[0]) + (axisSrc_->index)(jdx)*globalDimension[0]*globalDimension[1]; |
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295 | if (iteIndex != globalLocalIndexSendToServer.find(globalIndex)) |
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296 | { |
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297 | ++axisValueSize; |
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298 | } |
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299 | } |
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300 | |
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301 | vecAxisValue[idx].resize(axisValueSize); |
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302 | axisValueSize = 0; |
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303 | for (size_t jdx = 0; jdx < axisSrcSize; ++jdx) |
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304 | { |
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305 | size_t globalIndex = ((dom->i_index)(idx) + (dom->j_index)(idx)*globalDimension[0]) + (axisSrc_->index)(jdx)*globalDimension[0]*globalDimension[1]; |
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306 | itIndex = globalLocalIndexSendToServer.find(globalIndex); |
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307 | if (iteIndex != itIndex) |
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308 | { |
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309 | vecAxisValue[idx](axisValueSize) = (*dataAuxInputs[0])(itIndex->second); |
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310 | ++axisValueSize; |
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311 | } |
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312 | } |
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313 | } |
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314 | } |
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315 | } |
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316 | |
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317 | } |
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