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lepp.cpp
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lepp.cpp
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//
// Created by VictorStefano on 03-05-2019.
//
#include "lepp.h"
#include <math.h>
#include <string>
#include <stdexcept>
bool inCircle(Vertex *a, Vertex *b, Vertex *c, Vertex *d, double epsilon){
double ax=a->X(), ay=a->Y(),
bx=b->X(), by=b->Y(),
cx=c->X(), cy=c->Y(),
dx=d->X(), dy=d->Y();
double ix=ax-dx, iy=ay-dy, iz=pow(ix,2.0)+pow(iy, 2.0),
jx=bx-dx, jy=by-dy, jz=pow(jx,2.0)+pow(jy, 2.0),
kx=cx-dx, ky=cy-dy, kz=pow(kx,2.0)+pow(ky, 2.0);
double det = ix*(jy*kz-ky*jz)-iy*(jx*kz-kx*jz)+iz*(jx*ky-kx*jy);
return det > epsilon;
}
int orientation(Vertex *a, Vertex *b, Vertex *c, double epsilon){
double bx_origin = b->X() - a->X();
double by_origin = b->Y() - a->Y();
double cx_origin = c->X() - b->X();
double cy_origin = c->Y() - b->Y();
double cross = bx_origin*cy_origin - cx_origin*by_origin;
if (cross>epsilon)
{return 1;}
else if ((epsilon>cross && cross>-epsilon) || cross == 0)
{return 0;}
else
{return -1;}
}
bool terminalFaces(Face* f1, Face* f2){
if(f2== nullptr){
//-----------------------------------------------------------------------
std::cout << "f2 is null. Then, "<< *f1 <<" is terminal \n" << std::endl;
//-----------------------------------------------------------------------
return true;
}
//----------------------------------------------------------------------------------
std::cout << "Checking if "<< *f1 <<" and "<< *f2 <<" are terminal.\n" << std::endl;
//----------------------------------------------------------------------------------
return *(f1->ME_V1()) == *(f2->ME_V2()) && *(f1->ME_V2()) == *(f2->ME_V1());
}
Vertex* centroid(Vertex* a, Vertex* b, Vertex* c, Vertex* d){
double x = (a->X() + b->X() + c->X() + d->X())*0.25;
double y = (a->Y() + b->Y() + c->Y() + d->Y())*0.25;
auto v = new Vertex(x,y);
//----------------------------------------------------
std::cout << "Centroid is "<< *v <<" \n" << std::endl;
//----------------------------------------------------
return v;
}
Vertex* midpoint(Vertex* a, Vertex* b){
double x = (a->X() + b->X())*0.5;
double y = (a->Y() + b->Y())*0.5;
auto v = new Vertex(x,y);
//----------------------------------------------------
std::cout << "Midpoint is "<< *v <<" \n" << std::endl;
//----------------------------------------------------
return v;
}
void legalizeEdge(Face* f, Vertex* vert1, Vertex* vert2, double epsilon){
//--------------------------------------------------------------
std::cout << "LEGALIZING EDGES FROM "<< *f <<" \n" << std::endl;
//--------------------------------------------------------------
// * * * * * *v3 * * * * * * * * * * * *v3 * * * * * *
// * * * * * * * * *
// * no * * ne * * no * * * ne *
// * * f * * * * * * *
// * * * * * * * * *
// * * * * * * * * *
// v1* * * * * * * * * * *v2 ---> v1 n * f v2
// * * * * * * * * *
// * * n * * * * * * *
// * * * * * * * * *
// * so * * se * * so * * * se *
// * * * * * * * * *
// * * * * * *op * * * * * * * * * * * *op * * * * * *
// Check if the opposite vertex of the actual triangle
// lies inside the circle.
// If so, swap inner edge
// First, get necessary elements
Vertex *v1, *v2, *v3;
Face *n, *ne, *no;
if(vert1 == f->V1() && vert2 == f->V2()){
v1 = f->V1();
v2 = f->V2();
v3 = f->V3();
n = f->N1();
ne = f->N2();
no = f->N3();
}
else if(vert1 == f->V2() && vert2 == f->V3()){
v1 = f->V2();
v2 = f->V3();
v3 = f->V1();
n = f->N2();
ne = f->N3();
no = f->N1();
}
else{
v1 = f->V3();
v2 = f->V1();
v3 = f->V2();
n = f->N3();
ne = f->N1();
no = f->N2();
}
if(n == nullptr) {
//---------------------------------------------------------
std::cout << "Neighbour was null. Exiting \n" << std::endl;
//---------------------------------------------------------
return;
}
Vertex *op;
Face *so, *se;
if(v2 == n->V1() && v1 == n->V2()){
op = n->V3();
so = n->N2();
se = n->N3();
}
else if(v2 == n->V2() && v1 == n->V3()){
op = n->V1();
so = n->N3();
se = n->N1();
}
else {
op = n->V2();
so = n->N1();
se = n->N2();
}
//--------------------------------------------------------------
std::cout << "Triangle f is "<< *f << std::endl;
if(f->N1()!= nullptr)
std::cout << "with N1: "<< *(f->N1()) << std::endl;
if(f->N2()!= nullptr)
std::cout << "with N2: "<< *(f->N2()) << std::endl;
if(f->N3()!= nullptr)
std::cout << "with N3: "<< *(f->N3()) << " \n" << std::endl;
std::cout << "Triangle n is "<< *n << std::endl;
if(n->N1()!= nullptr)
std::cout << "with N1: "<< *(n->N1()) << std::endl;
if(n->N2()!= nullptr)
std::cout << "with N2: "<< *(n->N2()) << std::endl;
if(n->N3()!= nullptr)
std::cout << "with N3: "<< *(n->N3()) << " \n" << std::endl;
//--------------------------------------------------------------
//Check if triangles can swap
bool o1 = orientation(v1,op,v2,epsilon) == 1;
bool o2 = orientation(op,v2,v3,epsilon) == 1;
bool o3 = orientation(v2,v3,v1,epsilon) == 1;
bool o4 = orientation(v3,v1,op,epsilon) == 1;
bool isConvex = o1 && o2 && o3 && o4;
if(!isConvex){
std::cout << "Pair not convex. Legalizing neighbours \n" << std::endl;
//if(o2 && !o4){
// legalizeEdge(f, v2, v3, epsilon);
// legalizeEdge(n, op, v2, epsilon);
//}
//else if(o4 && !o2){
// legalizeEdge(f, v3, v1, epsilon);
// legalizeEdge(n, v1, op, epsilon);
//}
return;
}
if(inCircle(v1,v2,v3,op,epsilon)){
f->setV1(op); f->setV2(v2); f->setV3(v3);
f->setN1(se); f->setN2(ne); f->setN3(n);
n->setV1(v1); n->setV2(op); n->setV3(v3);
n->setN1(so); n->setN2(f); n->setN3(no);
f->updateMEs();
f->updateMA();
n->updateMEs();
n->updateMA();
std::cout << "Triangle f is now "<< *f << std::endl;
if(f->N1()!= nullptr)
std::cout << "with N1: "<< *(f->N1()) << std::endl;
if(f->N2()!= nullptr)
std::cout << "with N2: "<< *(f->N2()) << std::endl;
if(f->N3()!= nullptr)
std::cout << "with N3: "<< *(f->N3()) << std::endl;
std::cout << "Max Edge of f is ("<< *(*(f->ME_V1())) << " , " << *(*(f->ME_V2())) << ")" << std::endl;
if(*(f->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f->ME_N())) << "\n" << std::endl;
std::cout << "Triangle n is now "<< *n << std::endl;
if(n->N1()!= nullptr)
std::cout << "with N1: "<< *(n->N1()) << std::endl;
if(n->N2()!= nullptr)
std::cout << "with N2: "<< *(n->N2()) << std::endl;
if(n->N3()!= nullptr)
std::cout << "with N3: "<< *(n->N3()) << std::endl;
std::cout << "Max Edge of f is ("<< *(*(n->ME_V1())) << " , " << *(*(n->ME_V2())) << ")" << std::endl;
if(*(n->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(n->ME_N())) << "\n" << std::endl;
//Update no and se neighbourhoods
if(no!= nullptr){
if(v1==no->V1() && v3==no->V2()){
no->setN1(n);
std::cout << "Triangle no: "<< *no << "has new N1: " << *n << "\n" << std::endl;
}
else if(v1==no->V2() && v3==no->V3()){
no->setN2(n);
std::cout << "Triangle no: "<< *no << "has new N2: " << *n << "\n" << std::endl;
}
else{
no->setN3(n);
std::cout << "Triangle no: "<< *no << "has new N3: " << *n << "\n" << std::endl;
}
}
if(se!= nullptr){
if(v2==se->V1() && op==se->V2()){
se->setN1(f);
std::cout << "Triangle se: "<< *se << "has new N1: " << *f << "\n" << std::endl;
}
else if(v2==se->V2() && op==se->V3()){
se->setN2(f);
std::cout << "Triangle se: "<< *se << "has new N2: " << *f << "\n" << std::endl;
}
else{
se->setN3(f);
std::cout << "Triangle se: "<< *se << "has new N3: " << *f << "\n" << std::endl;
}
}
legalizeEdge(f, op, v2, epsilon);
legalizeEdge(n, v1, op, epsilon);
}
}
void insertCentroid(std::vector<Face*> *face_list, Face *f1, Vertex *edge_v1, Vertex *edge_v2, double epsilon){
std::cout << "INSERTING CENTROID ON FACES "<< *f1 << " AND HIS NEIGHBOUR \n" << std::endl;
// * * * * * *v3 * * * * * * * * * * * *v3 * * * * * *
// * * * * * * * * *
// * no * * ne * * no * * * ne *
// * * f1 * * * * * * *
// * * * * * * f1 * f4 * *
// * * * * * * * * *
// v1* * * * * * * * * * *v2 ---> v1* * * * * c * * * * *v2
// * * * * * * * * *
// * * * * * * f2 * f3 * *
// * * f2 * * * * * * *
// * so * * se * * so * * * se *
// * * * * * * * * *
// * * * * * *v4 * * * * * * * * * * * *v4 * * * * * *
Vertex *v1, *v2, *v3, *v4;
Face *f2, *ne, *no, *so, *se;
if(edge_v1 == f1->V1() && edge_v2 == f1->V2()){
v1 = f1->V1();
v2 = f1->V2();
v3 = f1->V3();
f2 = f1->N1();
ne = f1->N2();
no = f1->N3();
}
else if(edge_v1 == f1->V2() && edge_v2 == f1->V3()){
v1 = f1->V2();
v2 = f1->V3();
v3 = f1->V1();
f2 = f1->N2();
ne = f1->N3();
no = f1->N1();
}
else{
v1 = f1->V3();
v2 = f1->V1();
v3 = f1->V2();
f2 = f1->N3();
ne = f1->N1();
no = f1->N2();
}
if(v2==f2->V1() && v1==f2->V2()){
v4 = f2->V3();
so = f2->N2();
se = f2->N3();
}
else if(v2==f2->V2() && v1==f2->V3()){
v4 = f2->V1();
so = f2->N3();
se = f2->N1();
}
else{
v4 = f2->V2();
so = f2->N1();
se = f2->N2();
}
std::cout << "Triangle f1 is "<< *f1 << std::endl;
if(f1->N1()!= nullptr)
std::cout << "with N1: "<< *(f1->N1()) << std::endl;
if(f1->N2()!= nullptr)
std::cout << "with N2: "<< *(f1->N2()) << std::endl;
if(f1->N3()!= nullptr)
std::cout << "with N3: "<< *(f1->N3()) << std::endl;
std::cout << "Max Edge of f1 is ("<< *(*(f1->ME_V1())) << " , " << *(*(f1->ME_V2())) << ")" << std::endl;
if(*(f1->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f1->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f2 is "<< *f2 << std::endl;
if(f2->N1()!= nullptr)
std::cout << "with N1: "<< *(f2->N1()) << std::endl;
if(f2->N2()!= nullptr)
std::cout << "with N2: "<< *(f2->N2()) << std::endl;
if(f2->N3()!= nullptr)
std::cout << "with N3: "<< *(f2->N3()) << std::endl;
std::cout << "Max Edge of f2 is ("<< *(*(f2->ME_V1())) << " , " << *(*(f2->ME_V2())) << ")" << std::endl;
if(*(f2->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f2->ME_N())) << "\n" << std::endl;
Vertex* c = centroid(v1,v4,v2,v3);
f1->setV1(v3); f1->setV2(v1); f1->setV3(c);
f2->setV1(v1); f2->setV2(v4); f2->setV3(c);
auto f3 = new Face(v4,v2,c);
auto f4 = new Face(v2,v3,c);
std::cout << "Triangle f3 is "<< *f3 << std::endl;
if(f3->N1()!= nullptr)
std::cout << "with N1: "<< *(f3->N1()) << std::endl;
if(f3->N2()!= nullptr)
std::cout << "with N2: "<< *(f3->N2()) << std::endl;
if(f3->N3()!= nullptr)
std::cout << "with N3: "<< *(f3->N3()) << std::endl;
std::cout << "Max Edge of f3 is ("<< *(*(f3->ME_V1())) << " , " << *(*(f3->ME_V2())) << ")" << std::endl;
if(*(f3->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f3->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f4 is "<< *f4 << std::endl;
if(f4->N1()!= nullptr)
std::cout << "with N1: "<< *(f4->N1()) << std::endl;
if(f4->N2()!= nullptr)
std::cout << "with N2: "<< *(f4->N2()) << std::endl;
if(f4->N3()!= nullptr)
std::cout << "with N3: "<< *(f4->N3()) << std::endl;
std::cout << "Max Edge of f4 is ("<< *(*(f4->ME_V1())) << " , " << *(*(f4->ME_V2())) << ")" << std::endl;
if(*(f4->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f4->ME_N())) << "\n" << std::endl;
f1->setN1(no); f1->setN2(f2); f1->setN3(f4);
f2->setN1(so); f2->setN2(f3); f2->setN3(f1);
f3->setN1(se); f3->setN2(f4); f3->setN3(f2);
f4->setN1(ne); f4->setN2(f1); f4->setN3(f3);
f1->updateMEs();
f1->updateMA();
f2->updateMEs();
f2->updateMA();
f3->updateMEs();
f3->updateMA();
f4->updateMEs();
f4->updateMA();
std::cout << "Triangle f1 is now "<< *f1 << std::endl;
if(f1->N1()!= nullptr)
std::cout << "with N1: "<< *(f1->N1()) << std::endl;
if(f1->N2()!= nullptr)
std::cout << "with N2: "<< *(f1->N2()) << std::endl;
if(f1->N3()!= nullptr)
std::cout << "with N3: "<< *(f1->N3()) << std::endl;
std::cout << "Max Edge of f1 is now ("<< *(*(f1->ME_V1())) << " , " << *(*(f1->ME_V2())) << ")" << std::endl;
if(*(f1->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f1->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f2 is now "<< *f2 << std::endl;
if(f2->N1()!= nullptr)
std::cout << "with N1: "<< *(f2->N1()) << std::endl;
if(f2->N2()!= nullptr)
std::cout << "with N2: "<< *(f2->N2()) << std::endl;
if(f2->N3()!= nullptr)
std::cout << "with N3: "<< *(f2->N3()) << std::endl;
std::cout << "Max Edge of f2 is now ("<< *(*(f2->ME_V1())) << " , " << *(*(f2->ME_V2())) << ")" << std::endl;
if(*(f2->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f2->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f3 is now "<< *f3 << std::endl;
if(f3->N1()!= nullptr)
std::cout << "with N1: "<< *(f3->N1()) << std::endl;
if(f3->N2()!= nullptr)
std::cout << "with N2: "<< *(f3->N2()) << std::endl;
if(f3->N3()!= nullptr)
std::cout << "with N3: "<< *(f3->N3()) << std::endl;
std::cout << "Max Edge of f3 is now ("<< *(*(f3->ME_V1())) << " , " << *(*(f3->ME_V2())) << ")" << std::endl;
if(*(f3->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f3->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f4 is now "<< *f4 << std::endl;
if(f4->N1()!= nullptr)
std::cout << "with N1: "<< *(f4->N1()) << std::endl;
if(f4->N2()!= nullptr)
std::cout << "with N2: "<< *(f4->N2()) << std::endl;
if(f4->N3()!= nullptr)
std::cout << "with N3: "<< *(f4->N3()) << std::endl;
std::cout << "Max Edge of f4 is now ("<< *(*(f4->ME_V1())) << " , " << *(*(f4->ME_V2())) << ")" << std::endl;
if(*(f4->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f4->ME_N())) << "\n" << std::endl;
face_list->push_back(f3);
face_list->push_back(f4);
//Update ne and se neighbourhoods
if(ne!= nullptr){
if(v3==ne->V1() && v2==ne->V2()){
ne->setN1(f4);
std::cout << "Triangle ne: "<< *ne << "has new N1: " << *f4 << "\n" << std::endl;
}
else if(v3==ne->V2() && v2==ne->V3()){
ne->setN2(f4);
std::cout << "Triangle ne: "<< *ne << "has new N2: " << *f4 << "\n" << std::endl;
}
else{
ne->setN3(f4);
std::cout << "Triangle ne: "<< *ne << "has new N3: " << *f4 << "\n" << std::endl;
}
}
if(se!= nullptr){
if(v2==se->V1() && v4==se->V2()){
se->setN1(f3);
std::cout << "Triangle se: "<< *se << "has new N1: " << *f3 << "\n" << std::endl;
}
else if(v2==se->V2() && v4==se->V3()){
se->setN2(f3);
std::cout << "Triangle se: "<< *se << "has new N2: " << *f3 << "\n" << std::endl;
}
else{
se->setN3(f3);
std::cout << "Triangle se: "<< *se << "has new N3: " << *f3 << "\n" << std::endl;
}
}
legalizeEdge(f1, v3, v1, epsilon);
legalizeEdge(f2, v1, v4, epsilon);
legalizeEdge(f3, v4, v2, epsilon);
legalizeEdge(f4, v2, v3, epsilon);
}
void insertMidpoint(std::vector<Face*> *face_list, Face *f, Vertex *edge_v1, Vertex *edge_v2, double epsilon){
std::cout<<"INSERTING MIDPOINT ON FACES "<<*f<<" WITH EDGE ("<<*edge_v1<<" , "<<*edge_v2<<") \n"<< std::endl;
// * * * * * *v3 * * * * * * * * * * * *v3 * * * * * *
// * * * * * * * * *
// * no * * ne * * no * * * ne *
// * * f * * * * * * *
// * * * * * * f * f2 * *
// * * * * * * * * *
// v1* * * * * * * * * * *v2 ---> v1* * * * * m * * * * *v2
Vertex *v1, *v2, *v3;
Face *ne, *no;
if(edge_v1 == f->V1() && edge_v2 == f->V2()){
v1 = f->V1();
v2 = f->V2();
v3 = f->V3();
ne = f->N2();
no = f->N3();
}
else if(edge_v1 == f->V2() && edge_v2 == f->V3()){
v1 = f->V2();
v2 = f->V3();
v3 = f->V1();
ne = f->N3();
no = f->N1();
}
else{
v1 = f->V3();
v2 = f->V1();
v3 = f->V2();
ne = f->N1();
no = f->N2();
}
std::cout << "Triangle f1 is "<< *f << std::endl;
if(f->N1()!= nullptr)
std::cout << "with N1: "<< *(f->N1()) << std::endl;
if(f->N2()!= nullptr)
std::cout << "with N2: "<< *(f->N2()) << std::endl;
if(f->N3()!= nullptr)
std::cout << "with N3: "<< *(f->N3()) << std::endl;
std::cout << "Max Edge of f1 is ("<< *(*(f->ME_V1())) << " , " << *(*(f->ME_V2())) << ")" << std::endl;
if(*(f->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f->ME_N())) << "\n" << std::endl;
Vertex* m = midpoint(v1,v2);
f->setV1(v3); f->setV2(v1); f->setV3(m);
auto f2 = new Face(v2,v3,m);
f->setN1(no); f->setN2(nullptr); f->setN3(f2);
f2->setN1(ne); f2->setN2(f); f2->setN3(nullptr);
std::cout << "Triangle f2 is "<< *f2 << std::endl;
if(f2->N1()!= nullptr)
std::cout << "with N1: "<< *(f2->N1()) << std::endl;
if(f2->N2()!= nullptr)
std::cout << "with N2: "<< *(f2->N2()) << std::endl;
if(f2->N3()!= nullptr)
std::cout << "with N3: "<< *(f2->N3()) << std::endl;
std::cout << "Max Edge of f2 is ("<< *(*(f2->ME_V1())) << " , " << *(*(f2->ME_V2())) << ")" << std::endl;
if(*(f2->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f2->ME_N())) << "\n" << std::endl;
f->updateMEs();
f->updateMA();
f2->updateMEs();
f2->updateMA();
std::cout << "Triangle f1 is now "<< *f << std::endl;
if(f->N1()!= nullptr)
std::cout << "with N1: "<< *(f->N1()) << std::endl;
if(f->N2()!= nullptr)
std::cout << "with N2: "<< *(f->N2()) << std::endl;
if(f->N3()!= nullptr)
std::cout << "with N3: "<< *(f->N3()) << std::endl;
std::cout << "Max Edge of f1 is now ("<< *(*(f->ME_V1())) << " , " << *(*(f->ME_V2())) << ")" << std::endl;
if(*(f->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f->ME_N())) << "\n" << std::endl;
std::cout << "Triangle f2 is now "<< *f2 << std::endl;
if(f2->N1()!= nullptr)
std::cout << "with N1: "<< *(f2->N1()) << std::endl;
if(f2->N2()!= nullptr)
std::cout << "with N2: "<< *(f2->N2()) << std::endl;
if(f2->N3()!= nullptr)
std::cout << "with N3: "<< *(f2->N3()) << std::endl;
std::cout << "Max Edge of f2 is now ("<< *(*(f2->ME_V1())) << " , " << *(*(f2->ME_V2())) << ")" << std::endl;
if(*(f2->ME_N())!= nullptr)
std::cout << "and it is pointing to "<< *(*(f2->ME_N())) << "\n" << std::endl;
face_list->push_back(f2);
if(ne!= nullptr){
if(v3==ne->V1() && v2==ne->V2()){
ne->setN1(f2);
std::cout << "Triangle ne: "<< *ne << "has new N1: " << *f2 << "\n" << std::endl;
}
else if(v3==ne->V2() && v2==ne->V3()){
ne->setN2(f2);
std::cout << "Triangle ne: "<< *ne << "has new N2: " << *f2 << "\n" << std::endl;
}
else{
ne->setN3(f2);
std::cout << "Triangle ne: "<< *ne << "has new N3: " << *f2 << "\n" << std::endl;
}
}
legalizeEdge(f, v3, v1, epsilon);
legalizeEdge(f2, v2, v3, epsilon);
}
void updateDelaunay(std::vector<Face*> *triangulation, double epsilon, double tolerance, int detail){
std::cout << "\n" << std::endl;
std::cout << "##############################################" << std::endl;
std::cout << " STARTING LEPP DELAUNAY TRIANGULATION " << std::endl;
std::cout << "##############################################\n" << std::endl;
//Find set of bad quality triangles
std::vector<Face*> S;
for(Face* f: *triangulation){
if(f->MA() <= tolerance){
S.push_back(f);
}
}
int max_iterations = 0;
while(!S.empty()) {
if(detail!= 0 && max_iterations>=detail){
break;
}
std::cout << "\n" << std::endl;
std::cout << "##############################################" << std::endl;
std::cout << " NEW ROUND OF TRIANGLES " << std::endl;
std::cout << "##############################################\n" << std::endl;
//For each triangle in S
Face *t, *t1, *t2;
while (!S.empty()) {
t = S.back();
S.pop_back();
std::cout << "Current triangle t: " << *t << " \n" << std::endl;
if (t->N1() != nullptr)
std::cout << "with N1: " << *(t->N1()) << std::endl;
if (t->N2() != nullptr)
std::cout << "with N2: " << *(t->N2()) << std::endl;
if (t->N3() != nullptr)
std::cout << "with N3: " << *(t->N3()) << std::endl;
std::cout << "Max Edge of t is (" << *(*(t->ME_V1())) << " , " << *(*(t->ME_V2())) << ")" << std::endl;
if (*(t->ME_N()) != nullptr)
std::cout << "and it is pointing to " << *(*(t->ME_N())) << "\n" << std::endl;
std::cout << "\n" << std::endl;
std::cout << "##############################################" << std::endl;
std::cout << " STARTING REFINEMENT PROCCESS " << std::endl;
std::cout << "##############################################\n" << std::endl;
//While t remains unrefined
while (true) {
// We exit if triangle is already good
if (t->MA() > tolerance) {
std::cout << "END OF REFINEMENT\n" << std::endl;
break;
}
//Find terminal triangles (t1,t2)
std::cout << "SEARCHING FOR TERMINAL TRIANGLES\n" << std::endl;
t1 = t;
t2 = *(t1->ME_N());
std::cout << "Triangle t1 is now " << *t1 << std::endl;
if (t1->N1() != nullptr)
std::cout << "with N1: " << *(t1->N1()) << std::endl;
if (t1->N2() != nullptr)
std::cout << "with N2: " << *(t1->N2()) << std::endl;
if (t1->N3() != nullptr)
std::cout << "with N3: " << *(t1->N3()) << std::endl;
std::cout << "Max Edge of t1 is now (" << *(*(t1->ME_V1())) << " , " << *(*(t1->ME_V2())) << ")"
<< std::endl;
if (*(t1->ME_N()) != nullptr)
std::cout << "and it is pointing to " << *(*(t1->ME_N())) << "\n" << std::endl;
if (t2 != nullptr) {
std::cout << "Triangle t2 is now " << *t2 << std::endl;
if (t2->N1() != nullptr)
std::cout << "with N1: " << *(t2->N1()) << std::endl;
if (t2->N2() != nullptr)
std::cout << "with N2: " << *(t2->N2()) << std::endl;
if (t2->N3() != nullptr)
std::cout << "with N3: " << *(t2->N3()) << std::endl;
std::cout << "Max Edge of t2 is now (" << *(*(t2->ME_V1())) << " , " << *(*(t2->ME_V2())) << ")"
<< std::endl;
if (*(t2->ME_N()) != nullptr)
std::cout << "and it is pointing to " << *(*(t2->ME_N())) << "\n" << std::endl;
}
while (!terminalFaces(t1, t2)) {
t1 = t2;
t2 = *(t1->ME_N());
std::cout << "Triangle t1 is now " << *t1 << std::endl;
if (t1->N1() != nullptr)
std::cout << "with N1: " << *(t1->N1()) << std::endl;
if (t1->N2() != nullptr)
std::cout << "with N2: " << *(t1->N2()) << std::endl;
if (t1->N3() != nullptr)
std::cout << "with N3: " << *(t1->N3()) << std::endl;
std::cout << "Max Edge of t1 is now (" << *(*(t1->ME_V1())) << " , " << *(*(t1->ME_V2())) << ")"
<< std::endl;
if (*(t1->ME_N()) != nullptr)
std::cout << "and it is pointing to " << *(*(t1->ME_N())) << "\n" << std::endl;
if (t2 != nullptr) {
std::cout << "Triangle t2 is now " << *t2 << std::endl;
if (t2->N1() != nullptr)
std::cout << "with N1: " << *(t2->N1()) << std::endl;
if (t2->N2() != nullptr)
std::cout << "with N2: " << *(t2->N2()) << std::endl;
if (t2->N3() != nullptr)
std::cout << "with N3: " << *(t2->N3()) << std::endl;
std::cout << "Max Edge of t2 is now (" << *(*(t2->ME_V1())) << " , " << *(*(t2->ME_V2())) << ")"
<< std::endl;
if (*(t2->ME_N()) != nullptr)
std::cout << "and it is pointing to " << *(*(t2->ME_N())) << "\n" << std::endl;
}
}
//If E is constrained
if (t2 == nullptr) {
std::cout << "CASE: MAX EDGE CONSTRAINED \n" << std::endl;
insertMidpoint(triangulation, t1, *(t1->ME_V1()), *(t1->ME_V2()), epsilon);
} else {
//if exists t1 or t2 with low tolerance and second longest edge is constrained
if (t1->MA() <= tolerance && *(t1->SME_N()) == nullptr) {
std::cout << "CASE: LOW TOLERANCE T1, SECOND MAX EDGE CONSTRAINED \n" << std::endl;
insertMidpoint(triangulation, t1, *(t1->SME_V1()), *(t1->SME_V2()), epsilon);
} else if (t2->MA() <= tolerance && *(t2->SME_N()) == nullptr) {
std::cout << "CASE: LOW TOLERANCE T2, SECOND MAX EDGE CONSTRAINED \n" << std::endl;
insertMidpoint(triangulation, t2, *(t2->SME_V1()), *(t2->SME_V2()), epsilon);
}
//else, insert centroid
else {
std::cout << "CASE: LOW TOLERANCE. CENTROID INSERTION \n" << std::endl;
insertCentroid(triangulation, t1, *(t1->ME_V1()), *(t1->ME_V2()), epsilon);
}
}
}
}
for(Face* f: *triangulation){
if(f->MA() <= tolerance){
S.push_back(f);
}
}
max_iterations++;
}
}
int contained(Face *f, Vertex *v, double epsilon){
Vertex* v1 = f->V1();
Vertex* v2 = f->V2();
Vertex* v3 = f->V3();
if(orientation(v1, v2, v, epsilon)==1 &&
orientation(v2, v3, v, epsilon)==1 &&
orientation(v3, v1, v, epsilon)==1){
return 1;
}
else if((orientation(v1,v2,v,epsilon)==0 && orientation(v2,v3,v,epsilon)==1 && orientation(v3,v1,v,epsilon)==1) ||
(orientation(v1,v2,v,epsilon)==1 && orientation(v2,v3,v,epsilon)==0 && orientation(v3,v1,v,epsilon)==1) ||
(orientation(v1,v2,v,epsilon)==1 && orientation(v2,v3,v,epsilon)==1 && orientation(v3,v1,v,epsilon)==0)){
return 0;
}
else{
return -1;
}
}
ContInfo faceContainingVertex(std::vector<Face*> *face_list, Vertex *v, double epsilon){
Face* f = (*face_list)[0];
int previous_neighbour = 0;
while(f != nullptr){
int cnt = contained(f,v,epsilon);
if (cnt>=0){
auto cinf = (ContInfo) malloc(sizeof(ContInfo));
cinf->f=f;
cinf->status=cnt;
return cinf;
}
else{
if(orientation(f->V1(),f->V2(),v,epsilon)==-1 && previous_neighbour!=1){
if((f->N1())->N1() == f){
previous_neighbour = 1;
}
else if((f->N1())->N2() == f){
previous_neighbour = 2;
}
else {
previous_neighbour = 3;
}
f = f->N1();
}
else if(orientation(f->V2(),f->V3(),v,epsilon)==-1 && previous_neighbour!=2){
if((f->N2())->N1() == f){
previous_neighbour = 1;
}
else if((f->N2())->N2() == f){
previous_neighbour = 2;
}
else {
previous_neighbour = 3;
}
f = f->N2();
}
else if(orientation(f->V3(),f->V1(),v,epsilon)==-1 && previous_neighbour!=3){
if((f->N3())->N1() == f){
previous_neighbour = 1;
}
else if((f->N3())->N2() == f){
previous_neighbour = 2;
}
else {
previous_neighbour = 3;
}
f = f->N3();
}
}
}
std::cout << "Neighbour is null" << std::endl;
return nullptr;
}
void addThreeEdges(std::vector<Face*> *face_list, Face *f, Vertex *p){
// v3
// * *
// * * *
// * * *
// * * *
// * * *
// * * *
// * * *
// * * *
// * * *
// n3 * * * n2
// * * *
// * f3 * f2 *
// * p *
// * * * *
// * * * *
// * * * *
// * * f * *
// * * * *
// * * * *
// v1* * * * * * * * * * * * * * * * * * *v2
//
// n1
// f is the triangle where te new vertex is
// face_list is the list of triangles
// First, we retrive all vertex and neighbours
Vertex* v1 = f->V1();
Vertex* v2 = f->V2();
Vertex* v3 = f->V3();
Face* n1 = f->N1();
Face* n2 = f->N2();
Face* n3 = f->N3();
//We create two more triangles and alter previous one
f->setV1(v1);
f->setV2(v2);
f->setV3(p);
auto f2 = new Face(v2,v3,p);
auto f3 = new Face(v3,v1,p);
//We assign new neighbours
//f1
f->setN1(n1);
f->setN2(f2);
f->setN3(f3);
//f2
f2->setN1(n2);
f2->setN2(f3);
f2->setN3(f);
//f3
f3->setN1(n3);
f3->setN2(f);
f3->setN3(f2);
//Triangles are ready
//We add their pointers to the list
face_list->push_back(f2);
face_list->push_back(f3);
// Update n2 and n3 neighbourhood
// n2 neighbourhood
if(n2!= nullptr){
if(v3==n2->V1() && v2==n2->V2()){
n2->setN1(f2);
}
else if(v3==n2->V2() && v2==n2->V3()){
n2->setN2(f2);
}
else{
n2->setN3(f2);
}
}
// n3 neighbourhood
if(n3!= nullptr){
if(v1==n3->V1() && v3==n3->V2()){
n3->setN1(f3);
}
else if(v1==n3->V2() && v3==n3->V3()){
n3->setN2(f3);
}
else{
n3->setN3(f3);
}
}
}
void addTwoEdges(std::vector<Face*> *face_list, Face *f, Vertex *p, double epsilon){
// * * * * * *v3 * * * * * * * * * * * *v3 * * * * * *
// * * * * * * * * *
// * no * * ne * * no * * * ne *
// * * f * * * * * * *
// * * * * * * f * f4 * *
// * * * * * * * * *
// v1* * * * * p * * * * *v2 ---> v1* * * * * p * * * * *v2
// * * * * * * * * *
// * * * * * * f2 * f3 * *
// * * f2 * * * * * * *
// * so * * se * * so * * * se *
// * * * * * * * * *
// * * * * * *v4 * * * * * * * * * * * *v4 * * * * * *
// Phase 1
Vertex *v1, *v2, *v3, *v4;
Face *f2, *ne, *no, *so, *se;
if(orientation(f->V1(), f->V2(),p,epsilon)==0){
v1 = f->V1();
v2 = f->V2();
v3 = f->V3();
f2 = f->N1();
ne = f->N2();
no = f->N3();
}
else if(orientation(f->V2(), f->V3(),p, epsilon)==0){
v1 = f->V2();
v2 = f->V3();
v3 = f->V1();
f2 = f->N2();
ne = f->N3();
no = f->N1();
}
else{
v1 = f->V3();
v2 = f->V1();
v3 = f->V2();
f2 = f->N3();
ne = f->N1();
no = f->N2();
}
if(v2==f2->V1() && v1==f2->V2()){
v4 = f2->V3();
so = f2->N2();
se = f2->N3();
}
else if(v2==f2->V2() && v1==f2->V3()){
v4 = f2->V1();
so = f2->N3();
se = f2->N1();
}
else{
v4 = f2->V2();
so = f2->N1();
se = f2->N2();
}
f->setV1(v3);
f->setV2(v1);
f->setV3(v2);
f->setN1(no);
f->setN2(f2);
f->setN3(ne);
f2->setV1(v1);
f2->setV2(v4);
f2->setV3(v2);
f2->setN1(so);
f2->setN2(se);
f2->setN3(f);