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