1 | /*
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2 | * Licensed to the Apache Software Foundation (ASF) under one or more
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3 | * contributor license agreements. See the NOTICE file distributed with
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4 | * this work for additional information regarding copyright ownership.
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5 | * The ASF licenses this file to You under the Apache License, Version 2.0
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6 | * (the "License"); you may not use this file except in compliance with
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7 | * the License. You may obtain a copy of the License at
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8 | *
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9 | * http://www.apache.org/licenses/LICENSE-2.0
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10 | *
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11 | * Unless required by applicable law or agreed to in writing, software
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12 | * distributed under the License is distributed on an "AS IS" BASIS,
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13 | * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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14 | * See the License for the specific language governing permissions and
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15 | * limitations under the License.
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16 | */
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17 | package agents.anac.y2019.harddealer.math3.ode;
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18 |
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19 | import java.util.ArrayList;
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20 | import java.util.List;
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21 |
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22 | import agents.anac.y2019.harddealer.math3.exception.DimensionMismatchException;
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23 | import agents.anac.y2019.harddealer.math3.exception.MaxCountExceededException;
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24 |
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25 |
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26 | /**
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27 | * This class represents a combined set of first order differential equations,
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28 | * with at least a primary set of equations expandable by some sets of secondary
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29 | * equations.
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30 | * <p>
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31 | * One typical use case is the computation of the Jacobian matrix for some ODE.
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32 | * In this case, the primary set of equations corresponds to the raw ODE, and we
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33 | * add to this set another bunch of secondary equations which represent the Jacobian
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34 | * matrix of the primary set.
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35 | * </p>
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36 | * <p>
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37 | * We want the integrator to use <em>only</em> the primary set to estimate the
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38 | * errors and hence the step sizes. It should <em>not</em> use the secondary
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39 | * equations in this computation. The {@link AbstractIntegrator integrator} will
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40 | * be able to know where the primary set ends and so where the secondary sets begin.
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41 | * </p>
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42 | *
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43 | * @see FirstOrderDifferentialEquations
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44 | * @see JacobianMatrices
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45 | *
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46 | * @since 3.0
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47 | */
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48 |
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49 | public class ExpandableStatefulODE {
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50 |
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51 | /** Primary differential equation. */
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52 | private final FirstOrderDifferentialEquations primary;
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53 |
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54 | /** Mapper for primary equation. */
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55 | private final EquationsMapper primaryMapper;
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56 |
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57 | /** Time. */
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58 | private double time;
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59 |
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60 | /** State. */
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61 | private final double[] primaryState;
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62 |
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63 | /** State derivative. */
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64 | private final double[] primaryStateDot;
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65 |
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66 | /** Components of the expandable ODE. */
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67 | private List<SecondaryComponent> components;
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68 |
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69 | /** Build an expandable set from its primary ODE set.
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70 | * @param primary the primary set of differential equations to be integrated.
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71 | */
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72 | public ExpandableStatefulODE(final FirstOrderDifferentialEquations primary) {
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73 | final int n = primary.getDimension();
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74 | this.primary = primary;
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75 | this.primaryMapper = new EquationsMapper(0, n);
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76 | this.time = Double.NaN;
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77 | this.primaryState = new double[n];
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78 | this.primaryStateDot = new double[n];
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79 | this.components = new ArrayList<ExpandableStatefulODE.SecondaryComponent>();
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80 | }
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81 |
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82 | /** Get the primary set of differential equations.
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83 | * @return primary set of differential equations
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84 | */
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85 | public FirstOrderDifferentialEquations getPrimary() {
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86 | return primary;
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87 | }
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88 |
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89 | /** Return the dimension of the complete set of equations.
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90 | * <p>
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91 | * The complete set of equations correspond to the primary set plus all secondary sets.
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92 | * </p>
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93 | * @return dimension of the complete set of equations
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94 | */
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95 | public int getTotalDimension() {
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96 | if (components.isEmpty()) {
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97 | // there are no secondary equations, the complete set is limited to the primary set
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98 | return primaryMapper.getDimension();
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99 | } else {
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100 | // there are secondary equations, the complete set ends after the last set
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101 | final EquationsMapper lastMapper = components.get(components.size() - 1).mapper;
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102 | return lastMapper.getFirstIndex() + lastMapper.getDimension();
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103 | }
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104 | }
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105 |
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106 | /** Get the current time derivative of the complete state vector.
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107 | * @param t current value of the independent <I>time</I> variable
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108 | * @param y array containing the current value of the complete state vector
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109 | * @param yDot placeholder array where to put the time derivative of the complete state vector
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110 | * @exception MaxCountExceededException if the number of functions evaluations is exceeded
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111 | * @exception DimensionMismatchException if arrays dimensions do not match equations settings
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112 | */
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113 | public void computeDerivatives(final double t, final double[] y, final double[] yDot)
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114 | throws MaxCountExceededException, DimensionMismatchException {
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115 |
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116 | // compute derivatives of the primary equations
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117 | primaryMapper.extractEquationData(y, primaryState);
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118 | primary.computeDerivatives(t, primaryState, primaryStateDot);
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119 |
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120 | // Add contribution for secondary equations
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121 | for (final SecondaryComponent component : components) {
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122 | component.mapper.extractEquationData(y, component.state);
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123 | component.equation.computeDerivatives(t, primaryState, primaryStateDot,
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124 | component.state, component.stateDot);
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125 | component.mapper.insertEquationData(component.stateDot, yDot);
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126 | }
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127 |
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128 | primaryMapper.insertEquationData(primaryStateDot, yDot);
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129 |
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130 | }
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131 |
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132 | /** Add a set of secondary equations to be integrated along with the primary set.
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133 | * @param secondary secondary equations set
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134 | * @return index of the secondary equation in the expanded state
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135 | */
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136 | public int addSecondaryEquations(final SecondaryEquations secondary) {
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137 |
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138 | final int firstIndex;
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139 | if (components.isEmpty()) {
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140 | // lazy creation of the components list
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141 | components = new ArrayList<ExpandableStatefulODE.SecondaryComponent>();
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142 | firstIndex = primary.getDimension();
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143 | } else {
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144 | final SecondaryComponent last = components.get(components.size() - 1);
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145 | firstIndex = last.mapper.getFirstIndex() + last.mapper.getDimension();
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146 | }
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147 |
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148 | components.add(new SecondaryComponent(secondary, firstIndex));
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149 |
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150 | return components.size() - 1;
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151 |
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152 | }
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153 |
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154 | /** Get an equations mapper for the primary equations set.
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155 | * @return mapper for the primary set
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156 | * @see #getSecondaryMappers()
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157 | */
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158 | public EquationsMapper getPrimaryMapper() {
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159 | return primaryMapper;
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160 | }
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161 |
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162 | /** Get the equations mappers for the secondary equations sets.
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163 | * @return equations mappers for the secondary equations sets
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164 | * @see #getPrimaryMapper()
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165 | */
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166 | public EquationsMapper[] getSecondaryMappers() {
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167 | final EquationsMapper[] mappers = new EquationsMapper[components.size()];
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168 | for (int i = 0; i < mappers.length; ++i) {
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169 | mappers[i] = components.get(i).mapper;
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170 | }
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171 | return mappers;
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172 | }
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173 |
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174 | /** Set current time.
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175 | * @param time current time
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176 | */
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177 | public void setTime(final double time) {
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178 | this.time = time;
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179 | }
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180 |
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181 | /** Get current time.
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182 | * @return current time
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183 | */
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184 | public double getTime() {
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185 | return time;
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186 | }
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187 |
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188 | /** Set primary part of the current state.
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189 | * @param primaryState primary part of the current state
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190 | * @throws DimensionMismatchException if the dimension of the array does not
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191 | * match the primary set
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192 | */
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193 | public void setPrimaryState(final double[] primaryState) throws DimensionMismatchException {
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194 |
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195 | // safety checks
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196 | if (primaryState.length != this.primaryState.length) {
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197 | throw new DimensionMismatchException(primaryState.length, this.primaryState.length);
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198 | }
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199 |
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200 | // set the data
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201 | System.arraycopy(primaryState, 0, this.primaryState, 0, primaryState.length);
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202 |
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203 | }
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204 |
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205 | /** Get primary part of the current state.
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206 | * @return primary part of the current state
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207 | */
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208 | public double[] getPrimaryState() {
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209 | return primaryState.clone();
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210 | }
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211 |
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212 | /** Get primary part of the current state derivative.
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213 | * @return primary part of the current state derivative
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214 | */
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215 | public double[] getPrimaryStateDot() {
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216 | return primaryStateDot.clone();
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217 | }
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218 |
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219 | /** Set secondary part of the current state.
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220 | * @param index index of the part to set as returned by {@link
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221 | * #addSecondaryEquations(SecondaryEquations)}
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222 | * @param secondaryState secondary part of the current state
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223 | * @throws DimensionMismatchException if the dimension of the partial state does not
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224 | * match the selected equations set dimension
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225 | */
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226 | public void setSecondaryState(final int index, final double[] secondaryState)
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227 | throws DimensionMismatchException {
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228 |
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229 | // get either the secondary state
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230 | double[] localArray = components.get(index).state;
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231 |
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232 | // safety checks
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233 | if (secondaryState.length != localArray.length) {
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234 | throw new DimensionMismatchException(secondaryState.length, localArray.length);
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235 | }
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236 |
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237 | // set the data
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238 | System.arraycopy(secondaryState, 0, localArray, 0, secondaryState.length);
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239 |
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240 | }
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241 |
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242 | /** Get secondary part of the current state.
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243 | * @param index index of the part to set as returned by {@link
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244 | * #addSecondaryEquations(SecondaryEquations)}
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245 | * @return secondary part of the current state
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246 | */
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247 | public double[] getSecondaryState(final int index) {
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248 | return components.get(index).state.clone();
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249 | }
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250 |
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251 | /** Get secondary part of the current state derivative.
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252 | * @param index index of the part to set as returned by {@link
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253 | * #addSecondaryEquations(SecondaryEquations)}
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254 | * @return secondary part of the current state derivative
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255 | */
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256 | public double[] getSecondaryStateDot(final int index) {
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257 | return components.get(index).stateDot.clone();
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258 | }
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259 |
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260 | /** Set the complete current state.
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261 | * @param completeState complete current state to copy data from
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262 | * @throws DimensionMismatchException if the dimension of the complete state does not
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263 | * match the complete equations sets dimension
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264 | */
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265 | public void setCompleteState(final double[] completeState)
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266 | throws DimensionMismatchException {
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267 |
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268 | // safety checks
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269 | if (completeState.length != getTotalDimension()) {
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270 | throw new DimensionMismatchException(completeState.length, getTotalDimension());
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271 | }
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272 |
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273 | // set the data
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274 | primaryMapper.extractEquationData(completeState, primaryState);
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275 | for (final SecondaryComponent component : components) {
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276 | component.mapper.extractEquationData(completeState, component.state);
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277 | }
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278 |
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279 | }
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280 |
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281 | /** Get the complete current state.
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282 | * @return complete current state
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283 | * @throws DimensionMismatchException if the dimension of the complete state does not
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284 | * match the complete equations sets dimension
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285 | */
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286 | public double[] getCompleteState() throws DimensionMismatchException {
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287 |
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288 | // allocate complete array
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289 | double[] completeState = new double[getTotalDimension()];
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290 |
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291 | // set the data
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292 | primaryMapper.insertEquationData(primaryState, completeState);
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293 | for (final SecondaryComponent component : components) {
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294 | component.mapper.insertEquationData(component.state, completeState);
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295 | }
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296 |
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297 | return completeState;
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298 |
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299 | }
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300 |
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301 | /** Components of the compound stateful ODE. */
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302 | private static class SecondaryComponent {
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303 |
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304 | /** Secondary differential equation. */
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305 | private final SecondaryEquations equation;
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306 |
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307 | /** Mapper between local and complete arrays. */
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308 | private final EquationsMapper mapper;
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309 |
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310 | /** State. */
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311 | private final double[] state;
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312 |
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313 | /** State derivative. */
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314 | private final double[] stateDot;
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315 |
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316 | /** Simple constructor.
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317 | * @param equation secondary differential equation
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318 | * @param firstIndex index to use for the first element in the complete arrays
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319 | */
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320 | SecondaryComponent(final SecondaryEquations equation, final int firstIndex) {
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321 | final int n = equation.getDimension();
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322 | this.equation = equation;
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323 | mapper = new EquationsMapper(firstIndex, n);
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324 | state = new double[n];
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325 | stateDot = new double[n];
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326 | }
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327 |
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328 | }
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329 |
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330 | }
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