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paperface.cxx
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paperface.cxx
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#include <iomanip>
#include <stdlib.h>
#include "paperface.h"
#include "utilities.h"
#include "json/json.h"
extern double epsilon;
extern ofstream* DXFFile;
extern VektorR3* pointArray;
extern paperFace* faceArray;
extern int global_adherent_counter;
extern int global_counter;
extern ofstream* debugFile;
extern bool SHOW_DEBUG;
extern int SUPPRESSED_ADHERENTS;
extern int STRATEGY;
extern bool NUMBER_FACES;
extern bool FORCE_ADHERENTS;
extern int indexSplitFaces;
extern int arraySplitFaces[];
bool paperFace::generateCutoutSheet(ofstream* dxfFile, Json::Value &faces_json, VektorR2 offset, VektorR2 dir, int start_with_index,
VektorR2 normal, int no_faces, double extend,
bool allow_intersection, bool allow_to_split = false)
{
paperFace** neighborArray = new paperFace* [no_faces];
int neighbor_index = 0;
double FONT_SIZE = 50;
paperFace* myFather, *optimal_face = this;
bool overlap;
int edge_index, neighbor_edge_index, new_neighbor;
if(optimal_face->writeToDXF(dxfFile, faces_json, offset, dir, start_with_index,
normal, no_faces, allow_intersection, allow_to_split) == true) {
if(NUMBER_FACES)
writeNumber(dxfFile, optimal_face->getMidPoint()-VektorR2((log(global_counter+1)/log(10.0)+1)*extend/FONT_SIZE,
-0.5*extend/FONT_SIZE), VektorR2(1.0, 0.0), VektorR2(0.0, -1.0), extend/FONT_SIZE, global_counter++);
} // if
// no face has been processed so far
for(int i = 0; i < no_faces; i++)
faceArray[i].visited = false;
do {
optimal_face->visited = true;
allow_to_split = true;
// for all faces
for(int j = 0; j < no_faces; j++) {
// the considered face is neither me, nor has it been drawn so far
if((&(faceArray[j]) != optimal_face) && (faceArray[j].drawn == false)) {
// the considered face also has a common edge with me
if(optimal_face->sharesSomeEdge(faceArray[j], edge_index, neighbor_edge_index) == true) {
// chances are that this face is in the queue already. if so, do
// not add it a second time but rather update its cost
for(new_neighbor = 0; new_neighbor < neighbor_index; new_neighbor++)
if(neighborArray[new_neighbor] == &(faceArray[j])) break;
if(new_neighbor == neighbor_index) {
// we did not find this face so far
// thus it will be stored
neighborArray[neighbor_index] = &(faceArray[j]);
neighborArray[neighbor_index]->my_father = optimal_face;
neighbor_index++;
} // if
if(neighborArray[new_neighbor]->calcCostForCutoutSheet(STRATEGY,
optimal_face->getMidPoint(), no_faces) == true) {
// true means: the cost value improved. So store the new father-info
neighborArray[new_neighbor]->my_father = optimal_face;
neighborArray[new_neighbor]->visited = false;
} // if
} // if
} // if
} // for
double best_cost;
int best_index;
// essentially, this loop will try to draw a
// single neighbor from the queue before exiting
do{
best_index = -1;
// determine the optimal cost neighbor
for(int i = 0; i < neighbor_index; i++) {
if((neighborArray[i]->drawn == false) && (neighborArray[i]->visited == false)) {
if((best_index == -1) || (best_cost > neighborArray[i]->getCost())) {
best_cost = neighborArray[i]->getCost();
best_index = i;
} // if
} // if
} // for
if(best_index == -1) {
delete[] neighborArray;
return true;
} // if
// PLEASE REMEMBER: Only the father's projection is
// calculated so far. The optimal_face,
// the son is to be rendered below.
// Actually this os why the son has been
// chosen above.
myFather = neighborArray[best_index]->my_father;
optimal_face = neighborArray[best_index];
optimal_face->sharesSomeEdge(*myFather, edge_index, neighbor_edge_index);
optimal_face->visited = true;
offset = myFather->projection[neighbor_edge_index];
dir = myFather->projection[myFather->index_save(neighbor_edge_index+1)] - myFather->projection[neighbor_edge_index];
start_with_index = edge_index;
normal = myFather->calcNormal(neighbor_edge_index);
overlap = false;
if(optimal_face->writeToDXF(dxfFile, faces_json, offset, dir, start_with_index,
normal, no_faces, allow_intersection, allow_to_split) == true) {
if(NUMBER_FACES)
writeNumber(dxfFile, optimal_face->getMidPoint()-VektorR2((log(global_counter+1)/log(10.0)+1)*
extend/FONT_SIZE, -0.5*extend/FONT_SIZE), VektorR2(1.0, 0.0), VektorR2(0.0, -1.0),
extend/FONT_SIZE, global_counter++);
} // if
else overlap = true;
} while(overlap == true);
} while(true);
} // paperFace::generateCutoutSheet
bool paperFace::calcCostForCutoutSheet(int strategy, VektorR2 my_midpoint, int no_faces)
{
VektorR2 last_direction, temp_direction;
double temp_cost;
// implement your strategy here
switch(strategy) {
case 0:
// follow smallest polygon first
temp_cost = estimateExtend();
break;
case 1:
// follow largest polygon first
temp_cost = estimateExtend();
break;
case 2:
// random
temp_cost = rand();
break;
case 3:
// continue as straight as possible
temp_direction = getMidPoint() - my_midpoint;
temp_direction.Normalize();
temp_cost = last_direction*temp_direction;
break;
case 4:
// as extended as possible
temp_cost = getCumulatedDistance(no_faces);
break;
case 5:
// as close as possible
temp_cost = getCumulatedDistance(no_faces);
break;
case 6:
/*
// long edges first
length_shared_edge = (projection[edge_index[i]] -
projection[index_save(edge_index[i]+1)]).Norm2();
if(length_shared_edge < max_edge_length) {
max_edge_length = length_shared_edge;
best_neighbor = i;
} // if
*/
break;
case 7:
// face with largest minimal neighboring angle first
temp_cost = 2.0*M_PI - getMinimalEnclosingAngle(no_faces);
// temp_cost = getMinimalEnclosingAngle(no_faces);
break;
default:
cout << "ERRORO: strategy not implemented" << endl;
exit(-1);
} // switch
if(temp_cost < cost) {
cost = temp_cost;
return true;
} // if
return false;
} // paperFace::calcCostForCutoutSheet
double paperFace::getMinimalEnclosingAngle(int no_faces)
{
double min_angle = 100000;
VektorR2 v1, v2, end_1, end_2;
// for all faces which have been drawn so far
for(int f = 0; f < no_faces; f++) {
if((faceArray[f].drawn == true) && (&(faceArray[f]) != this)) {
// for all edges of this face
for(int i = 0; i < no_points; i++) {
// for all edges of the other face
for(int j = 0; j < faceArray[f].no_points; j++) {
// if two polygonal faces meet in one common vertex, then
// there are four edges starting from that vertex, two from
// each face respectively. As a consequence, four pairs
// of edges can be build:
if((projection[i] - faceArray[f].projection[j]).Norm2() < epsilon) { // this is the same point
for(int c = 0; c < 4; c++) {
switch(c) {
case 0:
end_1 = projection[index_save(i+1)];
end_2 = faceArray[f].projection[faceArray[f].index_save(j+1)];
break;
case 1:
end_1 = projection[index_save(i+1)];
end_2 = faceArray[f].projection[faceArray[f].index_save(j-1)];
break;
case 2:
end_1 = projection[index_save(i-1)];
end_2 = faceArray[f].projection[faceArray[f].index_save(j+1)];
break;
case 3:
end_1 = projection[index_save(i-1)];
end_2 = faceArray[f].projection[faceArray[f].index_save(j-1)];
break;
} // switch
if((end_1 - end_2).Norm2() > epsilon) {
v1 = end_1 - projection[index_save(i)];
double length_1 = v1.Normalize();
v2 = end_2 - projection[index_save(i)];
double length_2 = v2.Normalize();
double angle = fabs(acos(v1*v2));
if(angle < min_angle) {
min_angle = angle;
// cout << "updated angle: " << angle*360.0/(2.0*M_PI) << endl;
} // if
} // if
} // for
} // if
} // for
} // for
} // if
} // for
// cout << "returned angle: " << min_angle*360.0/(2.0*M_PI) << endl << endl;
return min_angle;
} // paperFace::getMinimalEnclosingAngle
double paperFace::sumMinimalEnclosingAngles(int no_faces)
{
double angle, enclosing_angle = 0.0;
long counter = 0;
for(int f = 0; f < no_faces; f++) {
angle = faceArray[f].getMinimalEnclosingAngle(no_faces);
// cout << "face #" << faceArray[f].ID << ": " << angle*360.0/(2.0*M_PI) << "°" << endl;
if(angle <= 2*M_PI) {
enclosing_angle += angle;
counter++;
} // if
} // for
return 360.0*(enclosing_angle/(double)counter)/(2*M_PI);
} // paperFace::sumMinimalEnclosingAngles
void paperFace::generateConnectedFaceGraph(int no_faces)
{
paperFace* p_neighbor;
int neighbor_edge_index;
// connect all faces to their neighbors by means of a depth-first traversal
for(int i = 0; i < no_faces; i++) {
if(&(faceArray[i]) != this) {
for(int edge_index = 0; edge_index < no_points; edge_index++) {
if(neighbor[edge_index] == NULL) { // we did not process this edge before
if(sharesThisEdge(faceArray[i], edge_index, neighbor_edge_index, true) == true) {
//cout << "graph: face.ID=" << this << " connected to face: " << &(faceArray[i]) << "In edge index " << edge_index << endl;
neighbor[edge_index] = &(faceArray[i]);
faceArray[i].generateConnectedFaceGraph(no_faces);
} // if
} // if
} // for
} // if
} // for
} // paperFace::generateConnectedFaceGraph
bool paperFace::intersectsOtherFace(int no_faces)
{
int sharesVertexCounter = 0;
for(int i = 0; i < no_faces; i++) {
if((&(faceArray[i]) != this) && (faceArray[i].drawn == true)) {
for(int j = 0; j < faceArray[i].no_points; j++) {
sharesVertexCounter = 0;
for(int k = 0; k < no_points; k++) {
if(IntersectLineLine(projection[k], projection[index_save(k+1)], faceArray[i].projection[j],
faceArray[i].projection[faceArray[i].index_save(j+1)]) == true) {
// cout << " face is intersecting other faces" << endl;
return true;
} // if
// no point on this face must be contained in another face
VektorR2 inner_point, dir;
dir = VektorR2(0.30, 0.70);
dir.Norm2();
inner_point = projection[index_save(k)];
if(faceArray[i].PointInside(inner_point, dir) == true) {
return true;
} // if
/*
if(EdgeOnEdge(k, faceArray[i].projection[faceArray[i].index_save(j)],
faceArray[i].projection[faceArray[i].index_save(j+1)]) == true) {
sharesVertexCounter++;
} // if
*/
} // for
/*
if(sharesVertexCounter > 2)
return true;
*/
} // for
} // if
} // for
return false;
} // paperFace::intersectsOtherFace
bool paperFace::writeToDXF(ofstream* DXFFile, Json::Value & faces_json, VektorR2 offset, VektorR2 dir, int start_with_index,
VektorR2 normal, int no_faces, bool allow_intersection, bool allow_to_split)
{
VektorR3 v_old, v_new, temp;
VektorR2 dir_rot, turtle;
VektorR2 assumed_position;
double angle, length;
double dist_1, dist_2;
Json::Value face_json;
face_json["id"] = ID;
Json::Value vtx(Json::arrayValue);
get3DVertices(0, vtx);
face_json["vtx"] = vtx;
VektorR3 normalVec = calc3DNormal();
normalVec.Normalize();
Json::Value normalJson;
normalJson["x"] = normalVec[0];
normalJson["y"] = normalVec[1];
normalJson["z"] = normalVec[2];
face_json["normal"] = normalJson;
processed = true; // this face has been considered
dir.Normalize();
turtle = offset;
v_old = pointArray[point[index_save(start_with_index+1)]] - pointArray[point[index_save(start_with_index+0)]];
length = v_old.Normalize();
v_old.Normalize();
for(int i = 1+start_with_index; i <= no_points+start_with_index; i++) {
projection[index_save(i-1)] = turtle;
turtle = turtle + length*dir;
v_new = pointArray[point[index_save(i+1)]] - pointArray[point[index_save(i)]];
length = v_new.Normalize();
angle = acos(v_old*v_new);
// cout << "winkel: " << angle*360.0/(2.0*M_PI) << endl;
v_old = v_new;
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
if(i == 1+start_with_index) {
// we want to point into the opposite
// direction of the previous face
if((dir_rot * normal) > 0.0) {
angle *= -1.0;
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
} // if
} // if
else {
// in case of concave objects we may have rotated into the wrong direction
assumed_position = turtle + length*dir_rot;
dist_1 = (assumed_position - projection[index_save(i-2)]).Norm2();
dist_2 = (pointArray[point[index_save(i+1)]] - pointArray[point[index_save(i-2)]]).Norm2();
if(fabs(dist_1 - dist_2) > epsilon) {
double save_dist = fabs(dist_1 - dist_2);
/*
cout << ">>> distances do not match: i=" << i << endl;
cout << " -> distance 2D: " << dist_1 << endl;
cout << " -> distance 3D: " << dist_2 << endl;
cout << "---- 2D coordinates" << endl;
printProjection(start_with_index);
cout << "assumed pos: " << assumed_position[0] << ", " << assumed_position[1] << endl;
cout << "turtle : " << turtle[0] << ", " << turtle[1] << endl;
cout << "length : " << length << endl;
cout << "dir : " << dir_rot[0] << ", " << dir_rot[1] << endl;
cout << "---- 3D coordinates" << endl;
print3DVertices(start_with_index);
*/
angle *= -1.0;
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
// test again!
// cout << " test again:" << endl;
assumed_position = turtle + length*dir_rot;
dist_1 = (assumed_position - projection[index_save(i-2)]).Norm2();
dist_2 = (pointArray[point[index_save(i+1)]] - pointArray[point[index_save(i-2)]]).Norm2();
if(fabs(dist_1 - dist_2) > epsilon) {
/*
cout << ">>> distances still do not match: i=" << i << endl;
cout << " -> distance 2D: " << dist_1 << endl;
cout << " -> distance 3D: " << dist_2 << endl;
cout << "assumed pos: " << assumed_position[0] << ", " << assumed_position[1] << endl;
cout << "turtle : " << turtle[0] << ", " << turtle[1] << endl;
cout << "length : " << length << endl;
cout << "dir : " << dir_rot[0] << ", " << dir_rot[1] << endl;
*/
if(save_dist < fabs(dist_1 - dist_2)) {
// actually the first direction was still better
// so use old direction
angle *= -1.0;
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
} // if
} // if
else {
// cout << " everything ok!" << endl;
} // else
} // if
} // else
dir = dir_rot;
} // for
// check, whether the new polygon intersects a drawn one or whether
// it has more than one common vertex with a previously drawn
// face. This must not happen because then we can not add the
// adherents anymore
for(int i = 0; i < indexSplitFaces; i++) {
if(arraySplitFaces[i] == ID) {
if(allow_to_split == true) {
clearConnectedFlags();
drawn = false;
return drawn;
} // if
} // if
} // for
if(((allow_intersection == false) && (intersectsOtherFace(no_faces) == true))) {
clearConnectedFlags();
drawn = false;
return drawn;
} // if
(*DXFFile) << " 0\nPOLYLINE\n 70\n 1" << endl;
Json::Value uvs(Json::arrayValue);
for(int i = start_with_index; i < no_points+start_with_index; i++) {
// if(IsInnerEdge(index_save(i), index_save(i+1)) == true) {
if(false) {
// this is an inner edge
writePoint(DXFFile, projection[index_save(i)]);
(*DXFFile) << " 0\nSEQEND" << endl;
(*DXFFile) << " 0\nPOLYLINE\n 70\n 0" << endl;
} // if
else
writePoint(DXFFile, projection[index_save(i)]);
Json::Value uv;
uv["u"] = Json::Value((int)projection[index_save(i)][0]);
uv["v"] = Json::Value((int)projection[index_save(i)][1]);
uvs.append(uv);
} // for
face_json["uvs"] = uvs;
(*DXFFile) << " 0\nSEQEND" << endl;
Json::Value neighbors_json(Json::arrayValue);
// Neighbors
for ( int i = 0; i < MAX_POINTS_PER_FACE; i++ ) {
paperFace* current_neighbor = neighbor[i];
if (current_neighbor) {
Json::Value neighbor_json;
neighbor_json["id"] = current_neighbor->ID;
Json::Value vertex_indexes_json(Json::arrayValue);
vertex_indexes_json.append(i);
vertex_indexes_json.append(i == 3 ? 0 : i + 1);
neighbor_json["vertexIndex"] = vertex_indexes_json;
neighbors_json.append(neighbor_json);
}
}
face_json["neighbors"] = neighbors_json;
faces_json.append(face_json);
drawn = true;
return drawn;
} // paperFace::writeToDXF
void paperFace::writeAdherent(ofstream* DXFFile, double extend, int& facecnt)
{
VektorR2 turtle, dir, dir_rot, normal;
VektorR2 writing_direction_x, write_offset;
VektorR2 offset;
double length, angle, height;
double sign = -1.0;
// return;
for(int vertex = 0; vertex < no_points; vertex++) {
// if((adherent_connected[vertex] == false) && (IsInnerEdge(index_save(vertex), index_save(vertex+1)) == false)) {
// if(adherent_connected[vertex] == false) {
if((adherent_connected[vertex] == false) && (sharesProjectedEdge(vertex, facecnt) == false) &&
(IsInnerEdge(index_save(vertex), index_save(vertex+1)) == false)) {
adherent_connected[vertex] = true;
height = extend*ADHERENT_SIZE;
int attempt = 0;
do {
faceArray[facecnt].initialize();
normal = calcNormal(vertex);
dir = projection[index_save(vertex+1)] - projection[index_save(vertex)];
writing_direction_x = dir;
length = dir.Normalize();
if(length < 2.0*sin(45.0/(360.0/(2.0*M_PI)))*height)
height = sin(45.0/(360.0/(2.0*M_PI)))*(length/1.0);
turtle = projection[index_save(vertex+1)];
write_offset = turtle;
// store adherent as face for later intersection test
faceArray[facecnt].projection[0] = turtle;
angle = sign*135.0/(360.0/(2.0*M_PI));
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
if(dir_rot*normal > 0.0) {
sign *= -1;
angle *= -1;
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
} // if
dir = dir_rot;
turtle = turtle + dir*height;
// store adherent as face for later intersection test
faceArray[facecnt].projection[1] = turtle;
angle = sign*45.0/(360.0/(2.0*M_PI));
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
dir = dir_rot;
turtle = turtle + dir*(length-2.0*(sin(45.0/(360.0/(2.0*M_PI)))*height));
// store adherent as face for later intersection test
faceArray[facecnt].projection[2] = turtle;
angle = sign*45.0/(360.0/(2.0*M_PI));
dir_rot[0] = cos(angle)*dir[0] - sin(angle)*dir[1];
dir_rot[1] = sin(angle)*dir[0] + cos(angle)*dir[1];
dir = dir_rot;
turtle = turtle + dir*height;
// store adherent as face for later intersection test
faceArray[facecnt].projection[3] = turtle;
faceArray[facecnt].processed = true;
faceArray[facecnt].drawn = false;
faceArray[facecnt].adherent = true;
faceArray[facecnt].no_points = 4;
height /= 2.0;
} while((FORCE_ADHERENTS == false) && (attempt++ < 3) && (faceArray[facecnt].intersectsOtherFace(facecnt) == true));
if(attempt >= 3) {
SUPPRESSED_ADHERENTS++;
return;
} // if
/*
for(int repeat = 0; repeat < 2; repeat++) {
if(repeat == 0)
angle = getEnclosedAngle(vertex, facecnt, offset, false);
if(repeat == 1)
angle = getEnclosedAngle(vertex+1, facecnt, offset, true);
if(angle <= 360.0) {
// writeLine(DXFFile, projection[index_save(vertex+1,no_points)]+0.05*VektorR2(1, 1), this_vertex+0.05*VektorR2(1, 1));
// writeLine(DXFFile, neighbor_vertex+0.05*VektorR2(1, 1), this_vertex+0.05*VektorR2(1, 1));
// cout << "DEBUG: angle=" << dir_1*dir_2 << endl;
double length_adherent = writing_direction_x.Normalize();
if(normal*VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]) < 0.0) {
normal = VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]);
// offset = projection[vertex];
writing_direction_x *= -1.0;
} // if
else {
normal = -1.0*VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]);
// offset = projection[vertex];
} // else
// offset += 0.01*VektorR2(rand() % 100, rand() % 100);
// offset += (0.95-0.6)*height*normal + (0.4)*height*writing_direction_x;
cout << "DEBUG: " << angle << endl;
writeNumber(DXFFile, offset, writing_direction_x, normal, 0.2*height, angle);
return;
if(fabs(angle) > 45) {
cout << "this adherent should not be drawn" << endl;
return;
} // if
} // if
} // for
*/
// return;
/*
if(faceArray[facecnt].intersectsOtherFace(facecnt) == true) {
cout << "this adherent should not be drawn" << endl;
return;
} // if
*/
// draw the adherent
(*DXFFile) << " 0\nPOLYLINE\n 70\n 1" << endl;
for(int i = 0; i < faceArray[facecnt].no_points; i++) {
writePoint(DXFFile, faceArray[facecnt].projection[i]);
} // for
(*DXFFile) << " 0\nSEQEND" << endl;
// don't store adherent at the moment
// facecnt++;
// allow user to identify adherent with its peer
double length_adherent = writing_direction_x.Normalize();
paperFace* p_connected_face = NULL;
int connected_edge;
long my_number = -1;
my_number = getConnectedFace(vertex, facecnt);
// cout << "my_number = " << my_number << endl;
if(my_number == -1) {
my_number = adherent_ID[index_save(vertex)] = global_adherent_counter++ + 1;
} // if
if(normal*VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]) < 0.0) {
normal = VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]);
offset = 0.5*(projection[index_save(vertex+1)]+projection[index_save(vertex)]);
writing_direction_x *= -1.0;
} // if
else {
normal = -1.0*VektorR2(-1.0*writing_direction_x[1], writing_direction_x[0]);
offset = 0.5*(projection[index_save(vertex)]+projection[index_save(vertex+1)]);
} // else
offset += (0.95-0.6)*height*normal - (1.0)*height*writing_direction_x;
while(length_adherent < height*0.2*0.4*1.5*4*7)
height *= 0.95;
writeNumber(DXFFile, offset, writing_direction_x, normal, 0.4*height, my_number);
} // if
} // for
} // paperFace::writeAdherent
VektorR2 paperFace::getMidPoint()
{
VektorR2 mid(0.0, 0.0);
for(int i = 0; i < no_points; i++) {
mid += projection[i];
} // for
if(no_points > 0)
mid /= (double)no_points;
return mid;
} // paperFace::getMidPoint
void paperFace::printProjection(int start_with_index)
{
for(int i = start_with_index; i < no_points+start_with_index; i++) {
double dist = (projection[index_save(i)] - projection[index_save(i-1)]).Norm2();
cout << "(" << setprecision(5) << fixed << projection[index_save(i)][0] << "," << projection[index_save(i)][1] << ")" << " dist to prev.: " << dist << endl;
} // for
} // paperFace::printProjection
void paperFace::plot3DVertices()
{
for(int i = 0; i < no_points+1; i++) {
// 3D version
double dist = (pointArray[point[index_save(i)]] - pointArray[point[index_save(i-1)]]).Norm2();
if(debugFile) (*debugFile) << pointArray[point[index_save(i)]][0] << " " << pointArray[point[index_save(i)]][1] << " " << pointArray[point[index_save(i)]][2] << endl;
} // for
} // paperFace::plot3DVertices
void paperFace::plotProjection()
{
for(int i = 0; i < no_points+1; i++) {
// 2D version
double dist = (projection[index_save(i)] - projection[index_save(i-1)]).Norm2();
if(debugFile) (*debugFile) << projection[index_save(i)][0] << " " << projection[index_save(i)][1] << endl;
} // for
} // paperFace::plotProjection
void paperFace::get3DVertices(int start_with_index, Json::Value &vertices_json)
{
for(int i = start_with_index; i < no_points+start_with_index; i++) {
double dist = (pointArray[point[index_save(i)]] - pointArray[point[index_save(i-1)]]).Norm2();
Json::Value vertex;
vertex["x"] = Json::Value(pointArray[point[index_save(i)]][0]);
vertex["y"] = Json::Value(pointArray[point[index_save(i)]][1]);
vertex["z"] = Json::Value(pointArray[point[index_save(i)]][2]);
vertices_json.append(vertex);
//cout << "vertex #" << i << ": (" << setprecision(5) << fixed << pointArray[point[index_save(i)]][0] << "," << pointArray[point[index_save(i)]][1] << "," << pointArray[point[index_save(i)]][2] << ")" << " [" << point[index_save(i)] << "]" << " dist to prev.: " << dist << endl;
} // for
} // paperFace::print3DVertices
bool paperFace::CheckColinear()
{
VektorR3 dir, previous_dir;
double product = 1.0;
if(no_points < 3) return true;
for(int i = 0; i < no_points+1; i++) {
dir = pointArray[point[index_save(i)]] - pointArray[point[index_save(i+1)]];
dir.Normalize();
if(i > 0) {
product = fabs(dir*previous_dir);
if(product < 0.99) return false;
} // if
previous_dir = dir;
} // for
return true;
} // paperFace::CheckColinear
VektorR2 paperFace::calcNormal(int index)
{
VektorR2 dir, normal;
dir = projection[index_save(index+1)] - projection[index_save(index)];
normal = VektorR2(-1.0*dir[1], dir[0]);
normal.Normalize();
// test whether normal points inward. Calc point
// outside the polygon. Intersect with all vertices
// into one direction. Number of interections should
// be uneven
VektorR2 on_the_line = 0.356*(dir) + projection[index_save(index)];
VektorR2 inner_point = on_the_line + normal*(dir.Norm2()/100.0);
if(PointInside(inner_point, dir) == false) normal *= -1.0;
return normal;
} // paperFace::calcNormal
bool paperFace::PointInside(VektorR2 inner_point, VektorR2 dir)
{
int counter = 0;
for(int i = 0; i < no_points; i++) {
// if the point matches a vertex, it should be considered outside
/*
cout << "innter_point: "; inner_point.print(); cout << endl;
cout << "projection[i]: "; projection[index_save(i)].print(); cout << endl;
*/
if((inner_point-projection[index_save(i)]).Norm2() < epsilon) return false;
// if the point is on an edge, it should also be considered outside
/*
if(PointBetweenLineEnds(inner_point, projection[index_save(i)],
projection[index_save(i+1)]) == true) return false;
*/
double p1, p2;
if(IntersectLineLineParam(inner_point, inner_point+0.02*dir, projection[index_save(i)],
projection[index_save(i+1)], p1, p2) == true) {
if((p1 > 0.0) && (p2 > 0.0001) && (p2 < 0.9999)) {
counter++;
} // if
} // if
} // for
if((counter % 2) == 0) return false;
else return true;
} // paperFace::PointInside
VektorR3 paperFace::calc3DNormal()
{
VektorR3 p1, p2, p3;
VektorR3 normal(0.0, 0.0, 0.0);
double dot_prod = 1000000.0;
for(int i = 0; i < no_points; i++) {
p1 = pointArray[point[index_save(i)]];
p2 = pointArray[point[index_save(i+1)]];
p3 = pointArray[point[index_save(i+2)]];
VektorR3 d1, d2;
d1 = p2-p1; d1.Normalize();
d2 = p3-p1; d2.Normalize();
double d_prod = fabs(d1*d2);
if(d_prod < dot_prod) {
dot_prod = d_prod;
normal = VektorR3::CrossProduct(d1, d2);
} // if