[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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[1362] | 98 | int sigma_order = ((toprow*)this)->condition_order-simplex->vertices.size()-1; |
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[1282] | 99 | |
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[1271] | 100 | // cout << "C:" << condition_order << " N:" << my_emlig->number_of_parameters << " C+N:" << condition_order-my_emlig->number_of_parameters << endl; |
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| 101 | // pause(0.1); |
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[1254] | 102 | |
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[1280] | 103 | if(sigma_order >= 0) |
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[1271] | 104 | { |
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[1275] | 105 | |
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[1282] | 106 | //cout << endl; |
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| 107 | //cout << ((toprow*)this)->condition << endl; |
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| 108 | //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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| 109 | |
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[1275] | 110 | |
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[1271] | 111 | emlig* current_emlig; |
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[1331] | 112 | simplex->clear_gammas(); |
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[1379] | 113 | simplex->probability = 0; |
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[1254] | 114 | |
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[1271] | 115 | if(this->my_emlig!=NULL) |
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| 116 | { |
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| 117 | current_emlig = this->my_emlig; |
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| 118 | } |
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| 119 | else |
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| 120 | { |
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| 121 | throw exception("The statistic of the polyhedron you are trying to integrate over doesn't belong to any emlig!"); |
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| 122 | } |
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[1254] | 123 | |
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[1384] | 124 | toprow* as_toprow = (toprow*)this; |
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[1254] | 125 | |
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[1384] | 126 | //cout << "Current condition:" << as_toprow->condition_sum << endl; |
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| 127 | |
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[1324] | 128 | int dimension = simplex->vertices.size()-1; |
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[1254] | 129 | |
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[1275] | 130 | mat jacobian(dimension,dimension); |
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[1254] | 131 | |
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[1271] | 132 | map<double,int> as; |
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[1379] | 133 | vertex* base_vertex = *simplex->vertices.begin(); |
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[1376] | 134 | |
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[1379] | 135 | int row_count = 0; |
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[1376] | 136 | for(set<vertex*>::iterator vert_ref = simplex->vertices.begin(); vert_ref!=simplex->vertices.end();vert_ref++) |
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[1271] | 137 | { |
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[1376] | 138 | if(vert_ref!=simplex->vertices.begin()) |
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| 139 | { |
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| 140 | vec relative_coords = (*vert_ref)->get_coordinates()-base_vertex->get_coordinates(); |
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[1379] | 141 | jacobian.set_row(row_count-1,relative_coords); |
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[1376] | 142 | } |
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[1268] | 143 | |
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[1379] | 144 | vec extended_coords = (*vert_ref)->get_coordinates(); |
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| 145 | extended_coords.ins(0,-1); |
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| 146 | |
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[1384] | 147 | //cout << "Ext. coords:" << extended_coords << " Condition sum:" << as_toprow->condition_sum << endl; |
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[1383] | 148 | |
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[1379] | 149 | double a = extended_coords*as_toprow->condition_sum; |
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[1376] | 150 | if(a<current_emlig->min_ll) |
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[1271] | 151 | { |
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[1376] | 152 | current_emlig->minimal_vertex = (*vert_ref); |
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| 153 | current_emlig->min_ll = a; |
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| 154 | } |
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[1275] | 155 | |
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[1376] | 156 | //cout << "a0:" << a_0 << " a0 coords:" << base_vertex->get_coordinates() << " am:" << a_m << " am coords:" << (*vert_ref)->get_coordinates() << endl; |
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[1275] | 157 | |
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[1384] | 158 | //cout << "Absolute coords:(V" << row_count << ")" << (*vert_ref)->get_coordinates() << endl; |
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[1376] | 159 | //cout << "Relative coords:(V" << row_count << ")" << relative_coords << endl; |
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[1275] | 160 | |
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[1376] | 161 | pair<map<double,int>::iterator,bool> returned = as.insert(pair<double,int>(a,1)); |
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| 162 | if(returned.second == false) |
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| 163 | { |
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| 164 | (*returned.first).second++; |
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[1379] | 165 | } |
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| 166 | |
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| 167 | row_count++; |
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| 168 | } |
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[1272] | 169 | |
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[1282] | 170 | /* |
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[1281] | 171 | int as_count = 1; |
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| 172 | for(map<double,int>::iterator as_ref = as.begin();as_ref!=as.end();as_ref++) |
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| 173 | { |
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| 174 | cout << "a_" << as_count << ": " << (*as_ref).first << " "; |
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| 175 | as_count++; |
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[1365] | 176 | } |
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[1396] | 177 | */ |
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[1269] | 178 | |
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[1379] | 179 | vector<double> gamma_facs; |
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[1271] | 180 | // cout << jacobian << endl; |
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[1379] | 181 | double det_jacobian = abs(det(jacobian)); |
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| 182 | for(map<double,int>::iterator a_ref = as.begin();a_ref!=as.end();a_ref++) |
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[1271] | 183 | { |
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[1379] | 184 | double k_multiplier = 1; |
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[1272] | 185 | |
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[1376] | 186 | int a_order = (*a_ref).second; |
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[1379] | 187 | current_emlig->set_correction_factors(a_order-1); |
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[1275] | 188 | |
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[1379] | 189 | vector<double> factors; |
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[1376] | 190 | for(map<double,int>::iterator a2_ref = as.begin();a2_ref!=as.end();a2_ref++) |
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| 191 | { |
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| 192 | if(a2_ref!=a_ref) |
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[1275] | 193 | { |
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[1376] | 194 | for(int k = 0;k<(*a2_ref).second;k++) |
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[1271] | 195 | { |
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[1379] | 196 | factors.push_back((*a2_ref).first-(*a_ref).first); |
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[1272] | 197 | } |
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[1270] | 198 | |
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[1379] | 199 | k_multiplier /= pow((*a2_ref).first-(*a_ref).first,(*a2_ref).second); |
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[1376] | 200 | } |
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[1379] | 201 | } |
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[1254] | 202 | |
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[1379] | 203 | double bracket_combination = 0; |
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[1365] | 204 | |
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[1379] | 205 | for(int k = 0;k < a_order;k++) |
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[1275] | 206 | { |
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[1379] | 207 | if(k==gamma_facs.size()) |
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[1275] | 208 | { |
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[1379] | 209 | gamma_facs.push_back(0.0); |
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[1325] | 210 | } |
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[1379] | 211 | |
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[1395] | 212 | double factor_multiplier = pow((double)-1,k)/pow((*a_ref).first,sigma_order-a_order+k+1);//pow((double)-1,k+1) |
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[1379] | 213 | |
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[1395] | 214 | double value = 0; |
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[1379] | 215 | if(k!=0) |
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[1395] | 216 | { |
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[1379] | 217 | ivec control_vec = ivec(); |
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| 218 | control_vec.ins(0,my_emlig->number_of_parameters-a_order+1); |
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[1395] | 219 | for(multiset<my_ivec>::iterator combi_ref = this->my_emlig->correction_factors[a_order-k-1].begin();combi_ref!=this->my_emlig->correction_factors[a_order-k-1].upper_bound(my_ivec(control_vec));combi_ref++) |
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[1379] | 220 | { |
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[1395] | 221 | double bracket_factor = 1/fact(k); |
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[1379] | 222 | |
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| 223 | for(int j = 0;j<(*combi_ref).size();j++) |
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| 224 | { |
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| 225 | //cout << "Factor vector:" << (*combi_ref) << endl; |
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| 226 | |
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| 227 | bracket_factor /= factors[(*combi_ref)[j]-1]; |
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| 228 | } |
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| 229 | |
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[1383] | 230 | value += bracket_factor*factor_multiplier*k_multiplier; |
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[1395] | 231 | } |
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[1349] | 232 | } |
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[1379] | 233 | else |
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| 234 | { |
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[1395] | 235 | value = k_multiplier*factor_multiplier; |
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| 236 | } |
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| 237 | |
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| 238 | simplex->insert_gamma(k,value,(*a_ref).first); |
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| 239 | gamma_facs[k] += value; |
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[1325] | 240 | } |
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[1272] | 241 | } |
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[1271] | 242 | |
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[1379] | 243 | double int_value = 0; |
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[1395] | 244 | double volume = det_jacobian/fact(jacobian.rows()); |
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[1379] | 245 | int gamma_size = (int)gamma_facs.size(); |
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| 246 | if(sigma_order-gamma_size>=0) |
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| 247 | { |
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| 248 | for(int k = 0;k<gamma_size;k++) |
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| 249 | { |
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[1395] | 250 | int_value += volume*fact(sigma_order+k)*gamma_facs[k]/pow(2.0,((toprow*)this)->condition_order); |
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[1379] | 251 | } |
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| 252 | } |
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| 253 | else |
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| 254 | { |
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| 255 | int_value = -1; |
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| 256 | } |
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[1271] | 257 | |
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[1379] | 258 | simplex->probability = int_value; |
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[1395] | 259 | simplex->volume = volume; |
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[1401] | 260 | //cout << "Probability:" << int_value << endl << endl; |
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[1395] | 261 | //pause(0.1); |
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[1379] | 262 | return int_value; |
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[1271] | 263 | } |
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| 264 | else |
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| 265 | { |
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[1362] | 266 | cout << "Improper probability density." << endl; |
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[1271] | 267 | return 0.0; |
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| 268 | } |
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[1254] | 269 | } |
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