[976] | 1 | #include "robustlib.h" |
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| 2 | |
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[1282] | 3 | |
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[1335] | 4 | double polyhedron::triangulate(bool should_integrate) |
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[1273] | 5 | { |
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[1324] | 6 | for(set<simplex*>::iterator t_ref = triangulation.begin();t_ref!=triangulation.end();t_ref++) |
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| 7 | { |
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| 8 | delete (*t_ref); |
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| 9 | } |
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[1301] | 10 | triangulation.clear(); |
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[1299] | 11 | |
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[1271] | 12 | if(should_integrate) |
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| 13 | { |
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| 14 | ((toprow *)this)->probability = 0.0; |
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| 15 | } |
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| 16 | |
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[1301] | 17 | if(vertices.size()==1) |
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| 18 | { |
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[1324] | 19 | simplex* vert_simplex = new simplex((vertex*)this); |
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[1301] | 20 | |
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[1324] | 21 | triangulation.insert(vert_simplex); |
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[1301] | 22 | } |
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| 23 | |
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[1254] | 24 | for(list<polyhedron*>::iterator child_ref = children.begin();child_ref!=children.end();child_ref++) |
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[1271] | 25 | { |
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[1324] | 26 | for(set<simplex*>::iterator s_ref = (*child_ref)->triangulation.begin();s_ref!=(*child_ref)->triangulation.end();s_ref++) |
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[1254] | 27 | { |
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[1324] | 28 | simplex* new_simplex = new simplex((*s_ref)->vertices); |
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[1301] | 29 | |
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[1324] | 30 | pair<set<vertex*>::iterator,bool> ret_val = new_simplex->vertices.insert(*vertices.begin()); |
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[1301] | 31 | |
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| 32 | if(ret_val.second == true) |
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| 33 | { |
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[1320] | 34 | double cur_prob = 0; |
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[1301] | 35 | |
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[1338] | 36 | /* |
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| 37 | if(should_integrate&&new_simplex->vertices.size()!=3) |
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| 38 | { |
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| 39 | cout << "Error: Wrong vertex count for integration!"; |
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| 40 | } |
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| 41 | */ |
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| 42 | |
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[1301] | 43 | if(should_integrate) |
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| 44 | { |
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[1320] | 45 | cur_prob = ((toprow *)this)->integrate_simplex(new_simplex, 'S'); |
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| 46 | |
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| 47 | ((toprow *)this)->probability += cur_prob; |
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[1301] | 48 | } |
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[1320] | 49 | |
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[1324] | 50 | triangulation.insert(new_simplex); |
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| 51 | } |
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| 52 | else |
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| 53 | { |
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| 54 | delete new_simplex; |
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| 55 | } |
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[1301] | 56 | } |
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[1335] | 57 | } |
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| 58 | |
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| 59 | if(should_integrate) |
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| 60 | { |
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| 61 | return ((toprow *)this)->probability; |
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| 62 | } |
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| 63 | else |
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| 64 | { |
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| 65 | return 0.0; |
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| 66 | } |
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[1301] | 67 | |
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| 68 | /* |
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| 69 | for(list<polyhedron*>::iterator child_ref = children.begin();child_ref!=children.end();child_ref++) |
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| 70 | { |
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| 71 | for(list<set<vertex*>>::iterator t_ref = (*child_ref)->triangulation.begin();t_ref!=(*child_ref)->triangulation.end();t_ref++) |
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| 72 | { |
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| 73 | set<vertex*> new_simplex; |
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[1299] | 74 | new_simplex.insert((*t_ref).begin(),(*t_ref).end()); |
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[1254] | 75 | |
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[1299] | 76 | for(set<vertex*>::iterator suitable_vert_ref = vertices.begin();*suitable_vert_ref<*(*t_ref).begin();suitable_vert_ref++) |
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| 77 | { |
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[1301] | 78 | set<vertex*> suitable_simplex; |
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| 79 | suitable_simplex.insert(new_simplex.begin(),new_simplex.end()); |
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| 80 | |
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| 81 | suitable_simplex.insert(*suitable_vert_ref); |
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[1254] | 82 | |
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[1301] | 83 | triangulation.push_back(suitable_simplex); |
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[1254] | 84 | |
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[1271] | 85 | if(should_integrate) |
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[1254] | 86 | { |
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[1301] | 87 | ((toprow *)this)->probability += ((toprow *)this)->integrate_simplex(suitable_simplex, 'S'); |
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[1271] | 88 | } |
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[1299] | 89 | } |
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[1271] | 90 | } |
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[1301] | 91 | }*/ |
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[1271] | 92 | } |
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[1268] | 93 | |
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| 94 | |
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[1324] | 95 | double toprow::integrate_simplex(simplex* simplex, char c) |
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[1271] | 96 | { |
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[1282] | 97 | // cout << ((toprow*)this)->condition << endl; |
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| 98 | |
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[1280] | 99 | int condition_order = ((toprow*)this)->condition_order-2; // -2 by bylo, pokud chceme uniformni apriorno |
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[1254] | 100 | |
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[1280] | 101 | int sigma_order = condition_order-my_emlig->number_of_parameters; |
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| 102 | |
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[1271] | 103 | // cout << "C:" << condition_order << " N:" << my_emlig->number_of_parameters << " C+N:" << condition_order-my_emlig->number_of_parameters << endl; |
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| 104 | // pause(0.1); |
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[1254] | 105 | |
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[1280] | 106 | if(sigma_order >= 0) |
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[1271] | 107 | { |
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[1275] | 108 | |
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[1282] | 109 | //cout << endl; |
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| 110 | //cout << ((toprow*)this)->condition << endl; |
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| 111 | //cout << "C:" << condition_order+2 << " N:" << my_emlig->number_of_parameters << " C+N:" << condition_order-my_emlig->number_of_parameters+2 << endl; |
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| 112 | |
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[1275] | 113 | |
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[1271] | 114 | emlig* current_emlig; |
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[1331] | 115 | simplex->clear_gammas(); |
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[1254] | 116 | |
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[1271] | 117 | if(this->my_emlig!=NULL) |
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| 118 | { |
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| 119 | current_emlig = this->my_emlig; |
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| 120 | } |
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| 121 | else |
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| 122 | { |
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| 123 | throw exception("The statistic of the polyhedron you are trying to integrate over doesn't belong to any emlig!"); |
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| 124 | } |
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[1254] | 125 | |
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[1271] | 126 | toprow* as_toprow = (toprow*)this; |
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[1254] | 127 | |
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[1300] | 128 | vec cur_condition = as_toprow->condition_sum.get(1,as_toprow->condition_sum.size()-1); |
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[1254] | 129 | |
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[1275] | 130 | // cout << as_toprow->condition << endl; |
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[1272] | 131 | |
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[1324] | 132 | int dimension = simplex->vertices.size()-1; |
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[1254] | 133 | |
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[1275] | 134 | mat jacobian(dimension,dimension); |
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[1254] | 135 | |
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[1275] | 136 | double a_0; |
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[1271] | 137 | map<double,int> as; |
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[1275] | 138 | vertex* base_vertex; |
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[1324] | 139 | set<vertex*>::iterator base_ref = simplex->vertices.begin(); |
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[1275] | 140 | bool order_correct; |
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| 141 | |
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[1254] | 142 | |
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[1275] | 143 | do |
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[1271] | 144 | { |
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[1275] | 145 | order_correct = true; |
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| 146 | as.clear(); |
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[1268] | 147 | |
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[1275] | 148 | base_vertex = (*base_ref); |
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[1268] | 149 | |
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[1282] | 150 | |
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[1301] | 151 | // cout << endl << "Base coords:" << base_vertex->get_coordinates() << endl; |
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[1254] | 152 | |
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[1300] | 153 | a_0 = base_vertex->get_coordinates()*cur_condition-as_toprow->condition_sum[0]; |
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[1282] | 154 | |
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[1281] | 155 | |
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[1275] | 156 | int row_count = 0; |
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[1324] | 157 | for(set<vertex*>::iterator vert_ref = simplex->vertices.begin(); vert_ref!=simplex->vertices.end();vert_ref++) |
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[1271] | 158 | { |
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[1275] | 159 | if(vert_ref != base_ref) |
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| 160 | { |
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[1276] | 161 | vec relative_coords = (*vert_ref)->get_coordinates()-base_vertex->get_coordinates(); |
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[1275] | 162 | |
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| 163 | jacobian.set_row(row_count,relative_coords); |
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| 164 | |
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[1281] | 165 | double new_a = -relative_coords*cur_condition; |
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[1275] | 166 | |
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[1276] | 167 | if(new_a + a_0 == 0 || new_a == 0) |
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[1275] | 168 | { |
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| 169 | base_ref++; |
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| 170 | |
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[1324] | 171 | if(base_ref == simplex->vertices.end()) |
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[1275] | 172 | { |
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| 173 | throw new exception("Equal local conditions are paired. If this ever occurs, the software has to be modified to include multiplied a_0!!"); |
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| 174 | } |
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| 175 | |
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| 176 | order_correct = false; |
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| 177 | |
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| 178 | break; |
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[1282] | 179 | } |
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| 180 | |
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| 181 | |
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| 182 | |
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[1335] | 183 | if(a_0<current_emlig->min_ll) |
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[1282] | 184 | { |
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| 185 | current_emlig->minimal_vertex = base_vertex; |
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[1335] | 186 | current_emlig->min_ll = a_0; |
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[1275] | 187 | } |
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[1282] | 188 | |
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[1300] | 189 | double a_m = (*vert_ref)->get_coordinates()*cur_condition-as_toprow->condition_sum[0]; |
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[1335] | 190 | if(a_m<current_emlig->min_ll) |
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[1282] | 191 | { |
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| 192 | current_emlig->minimal_vertex = (*vert_ref); |
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[1335] | 193 | current_emlig->min_ll = a_m; |
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[1282] | 194 | } |
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| 195 | |
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| 196 | //cout << "a0:" << a_0 << " a0 coords:" << base_vertex->get_coordinates() << " am:" << a_m << " am coords:" << (*vert_ref)->get_coordinates() << endl; |
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| 197 | |
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[1301] | 198 | // cout << "Absolute coords:(V" << row_count << ")" << (*vert_ref)->get_coordinates() << endl; |
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[1282] | 199 | //cout << "Relative coords:(V" << row_count << ")" << relative_coords << endl; |
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[1275] | 200 | |
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| 201 | pair<map<double,int>::iterator,bool> returned = as.insert(pair<double,int>(new_a,1)); |
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| 202 | if(returned.second == false) |
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| 203 | { |
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| 204 | (*returned.first).second++; |
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| 205 | } |
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| 206 | /* |
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| 207 | else |
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| 208 | { |
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| 209 | cout << "a[" << row_count << "] = " << new_a << endl; |
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| 210 | } |
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| 211 | */ |
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| 212 | |
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| 213 | //as.ins(as.size(),new_a); |
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| 214 | |
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| 215 | row_count++; |
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| 216 | } |
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[1271] | 217 | } |
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| 218 | } |
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[1275] | 219 | while(!order_correct); |
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[1272] | 220 | |
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[1282] | 221 | /* |
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[1281] | 222 | cout << "a_0: " << a_0 << " "; |
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| 223 | int as_count = 1; |
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| 224 | for(map<double,int>::iterator as_ref = as.begin();as_ref!=as.end();as_ref++) |
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| 225 | { |
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| 226 | cout << "a_" << as_count << ": " << (*as_ref).first << " "; |
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| 227 | as_count++; |
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[1282] | 228 | }*/ |
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[1269] | 229 | |
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[1335] | 230 | double int_value = 0; |
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[1268] | 231 | |
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[1271] | 232 | // cout << jacobian << endl; |
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[1268] | 233 | |
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[1272] | 234 | double det_jacobian = abs(det(jacobian)); |
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| 235 | double correction_term = det_jacobian; |
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[1271] | 236 | for(map<double,int>::iterator as_ref = as.begin();as_ref!=as.end();as_ref++) |
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| 237 | { |
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[1275] | 238 | double multiplier = det_jacobian; |
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[1272] | 239 | |
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[1275] | 240 | int as1_order = (*as_ref).second; |
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| 241 | |
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[1280] | 242 | correction_term /= pow(-(*as_ref).first,as1_order); |
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[1275] | 243 | |
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| 244 | current_emlig->set_correction_factors(as1_order); |
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| 245 | |
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| 246 | vector<double> factors; |
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| 247 | int number_of_factors = 0; |
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| 248 | for(map<double,int>::iterator as2_ref = as.begin();as2_ref!=as.end();as2_ref++) |
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[1272] | 249 | { |
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| 250 | |
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[1275] | 251 | if(as2_ref!=as_ref) |
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| 252 | { |
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| 253 | for(int k = 0;k<(*as2_ref).second;k++) |
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[1271] | 254 | { |
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[1275] | 255 | factors.push_back((*as_ref).first-(*as2_ref).first); |
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[1272] | 256 | } |
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[1270] | 257 | |
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[1275] | 258 | multiplier /= pow((*as_ref).first-(*as2_ref).first,(*as2_ref).second); |
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| 259 | number_of_factors += (*as2_ref).second; |
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| 260 | } |
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| 261 | else |
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[1271] | 262 | { |
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[1275] | 263 | factors.push_back((*as_ref).first); |
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[1270] | 264 | |
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[1275] | 265 | multiplier /= (*as_ref).first; |
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| 266 | number_of_factors += 1; |
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[1272] | 267 | } |
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[1275] | 268 | |
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[1325] | 269 | } |
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| 270 | |
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| 271 | |
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[1254] | 272 | |
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[1325] | 273 | double bracket = fact(as1_order-1)/pow(a_0-(*as_ref).first,sigma_order+1); |
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[1331] | 274 | |
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| 275 | simplex->insert_gamma(0,bracket*multiplier,a_0-(*as_ref).first); |
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[1280] | 276 | |
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[1325] | 277 | bracket *= fact(sigma_order); |
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| 278 | |
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[1275] | 279 | for(int k = 0;k < as1_order-1;k++) |
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| 280 | { |
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[1325] | 281 | double local_bracket = 0; |
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| 282 | double bracket_factor = -pow((double)-1,k+1)/fact(as1_order-1-k)/pow(a_0-(*as_ref).first,sigma_order-k); |
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[1272] | 283 | |
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[1280] | 284 | ivec control_vec = ivec(); |
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[1325] | 285 | control_vec.ins(0,my_emlig->number_of_parameters-as1_order+1); |
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[1280] | 286 | |
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| 287 | for(multiset<my_ivec>::iterator combi_ref = this->my_emlig->correction_factors[k].begin();combi_ref!=this->my_emlig->correction_factors[k].upper_bound(my_ivec(control_vec));combi_ref++) |
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[1275] | 288 | { |
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| 289 | double bracket_combination = 1; |
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[1280] | 290 | for(int j = 0;j<(*combi_ref).size();j++) |
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[1275] | 291 | { |
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[1281] | 292 | //cout << "Factor vector:" << (*combi_ref) << endl; |
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[1280] | 293 | |
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| 294 | bracket_combination /= factors[(*combi_ref)[j]-1]; |
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[1325] | 295 | } |
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| 296 | |
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| 297 | local_bracket += bracket_factor*bracket_combination; |
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| 298 | } |
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[1254] | 299 | |
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[1331] | 300 | simplex->insert_gamma(k+1,local_bracket*multiplier,a_0-(*as_ref).first); |
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[1325] | 301 | |
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| 302 | bracket += local_bracket*fact(sigma_order-k); |
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| 303 | } |
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| 304 | |
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[1275] | 305 | int_value += multiplier*bracket; |
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| 306 | |
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[1272] | 307 | } |
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[1271] | 308 | |
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[1325] | 309 | double correction_term_base = correction_term/pow(a_0,sigma_order+1); |
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[1271] | 310 | |
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[1331] | 311 | simplex->insert_gamma(0,correction_term_base,a_0); |
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[1272] | 312 | |
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[1325] | 313 | correction_term = fact(sigma_order)*correction_term_base; |
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| 314 | |
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| 315 | //cout << c << int_value << endl; |
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| 316 | |
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[1272] | 317 | int_value += correction_term; |
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[1275] | 318 | |
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[1272] | 319 | |
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[1325] | 320 | //cout << "Probability:" << int_value << endl; |
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| 321 | //pause(0.100); |
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[1272] | 322 | |
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[1324] | 323 | simplex->probability = int_value; |
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[1271] | 324 | |
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[1324] | 325 | return int_value; |
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[1275] | 326 | |
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[1271] | 327 | } |
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| 328 | else |
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| 329 | { |
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| 330 | return 0.0; |
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| 331 | } |
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[1254] | 332 | } |
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