| 1 | #include "robustlib.h" |
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| 2 | |
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| 3 | void polyhedron::triangulate(bool should_integrate) |
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| 4 | { |
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| 5 | for(list<polyhedron*>::iterator child_ref = children.begin();child_ref!=children.end();child_ref++) |
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| 6 | { |
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| 7 | set<double> simplex_integrals; |
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| 8 | |
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| 9 | for(list<set<vertex*>>::iterator t_ref = (*child_ref)->triangulation.begin();t_ref!=(*child_ref)->triangulation.end();t_ref++) |
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| 10 | { |
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| 11 | set<vertex*> new_simplex; |
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| 12 | new_simplex.insert((*t_ref).begin(),(*t_ref).end()); |
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| 13 | |
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| 14 | pair<set<vertex*>::iterator,bool> ret_val = new_simplex.insert(*vertices.begin()); |
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| 15 | |
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| 16 | if(ret_val.second == true) |
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| 17 | { |
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| 18 | triangulation.push_back(new_simplex); |
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| 19 | |
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| 20 | if(should_integrate) |
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| 21 | { |
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| 22 | toprow* as_toprow = (toprow*)this; |
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| 23 | |
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| 24 | vec cur_condition = as_toprow->condition.get(1,as_toprow->condition.size()-1); |
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| 25 | |
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| 26 | vertex* base_vertex = (*new_simplex.begin()); |
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| 27 | |
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| 28 | int dimension = new_simplex.size()-1; |
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| 29 | |
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| 30 | mat jacobian(dimension,dimension); |
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| 31 | |
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| 32 | double a_0 = base_vertex->get_coordinates()*cur_condition+as_toprow->condition[0]; |
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| 33 | map<double,int> as; |
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| 34 | |
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| 35 | int row_count = 0; |
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| 36 | |
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| 37 | for(set<vertex*>::iterator vert_ref = (++new_simplex.begin()); vert_ref!=new_simplex.end();vert_ref++) |
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| 38 | { |
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| 39 | vec relative_coords = (*vert_ref)->get_coordinates()-base_vertex->get_coordinates(); |
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| 40 | jacobian.set_row(row_count,relative_coords); |
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| 41 | |
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| 42 | double new_a = relative_coords*cur_condition; |
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| 43 | |
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| 44 | pair<map<double,int>::iterator,bool> returned = as.insert(pair<double,int>(new_a,1)); |
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| 45 | if(returned.second == false) |
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| 46 | { |
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| 47 | (*returned.first).second++; |
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| 48 | } |
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| 49 | //as.ins(as.size(),new_a); |
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| 50 | |
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| 51 | row_count++; |
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| 52 | } |
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| 53 | |
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| 54 | double int_value = 0; |
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| 55 | for(map<double,int>::iterator as_ref = as.begin();as_ref!=as.end();as_ref++) |
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| 56 | { |
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| 57 | int fac_order = ((toprow*)this)->condition_order-as.size()-1; |
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| 58 | |
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| 59 | double fac_value = 1; |
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| 60 | if(a_0!=(*as_ref).first) |
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| 61 | { |
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| 62 | //fac_value = ((double)tgamma(fac_order)*det(jacobian))/(*as_ref).first/pow((*as_ref).first-a_0,fac_order); |
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| 63 | |
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| 64 | fac_value /= (*as_ref).first; |
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| 65 | |
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| 66 | for(map<double,int>::iterator as2_ref = as.begin();as2_ref!=as.end();as2_ref++) |
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| 67 | { |
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| 68 | if(as2_ref!=as_ref) |
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| 69 | { |
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| 70 | double current_factor = (*as_ref).first-(*as2_ref).first; |
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| 71 | |
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| 72 | fac_value /= current_factor; |
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| 73 | |
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| 74 | |
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| 75 | } |
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| 76 | } |
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| 77 | } |
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| 78 | else |
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| 79 | { |
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| 80 | throw new exception("Should this happen? a_i=a_0 in the formula for integrating over a simplex! I think it can happen with 0 probability(when phi*2*v_0=phi*v_i)"); |
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| 81 | } |
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| 82 | |
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| 83 | |
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| 84 | int_value += fac_value; |
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| 85 | } |
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| 86 | |
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| 87 | simplex_integrals.insert(int_value); |
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| 88 | } |
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| 89 | } |
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| 90 | } |
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| 91 | |
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| 92 | if(should_integrate) |
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| 93 | { |
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| 94 | ((toprow*)this)->probability = 0.0; |
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| 95 | |
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| 96 | for(set<double>::iterator integ_ref = simplex_integrals.begin();integ_ref!=simplex_integrals.end();integ_ref++) |
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| 97 | { |
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| 98 | ((toprow*)this)->probability += (*integ_ref); |
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| 99 | } |
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| 100 | } |
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| 101 | } |
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| 102 | } |
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