📄 directedline.cc
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}
/*compare two vertices NOT lines!
*A vertex is the head of a directed line.
*(x_1, y_1) <= (x_2, y_2) if
*either x_1 < x_2
*or x_1 == x_2 && y_1 < y_2.
*return -1 if this->head() <= nl->head(),
*return 1 otherwise
*/
Int directedLine::compInX(directedLine* nl)
{
if(head()[0] < nl->head()[0]) return -1;
if(head()[0] == nl->head()[0] && head()[1] < nl->head()[1]) return -1;
return 1;
}
/*used by sort precedures
*/
static Int compInY2(directedLine* v1, directedLine* v2)
{
return v1->compInY(v2);
}
#ifdef NOT_USED
static Int compInX(directedLine* v1, directedLine* v2)
{
return v1->compInX(v2);
}
#endif
/*sort all the vertices NOT the lines!
*a vertex is the head of a directed line
*/
directedLine** directedLine::sortAllPolygons()
{
Int total_num_edges = 0;
directedLine** array = toArrayAllPolygons(total_num_edges);
quicksort( (void**)array, 0, total_num_edges-1, (Int (*)(void *, void *)) compInY2);
return array;
}
void directedLine::printSingle()
{
if(direction == INCREASING)
printf("direction is INCREASING\n");
else
printf("direction is DECREASING\n");
printf("head=%f,%f)\n", head()[0], head()[1]);
sline->print();
}
/*print one polygon*/
void directedLine::printList()
{
directedLine* temp;
printSingle();
for(temp = next; temp!=this; temp=temp->next)
temp->printSingle();
}
/*print all the polygons*/
void directedLine::printAllPolygons()
{
directedLine *temp;
for(temp = this; temp!=NULL; temp = temp->nextPolygon)
{
printf("polygon:\n");
temp->printList();
}
}
/*insert this polygon into the head of the old polygon List*/
directedLine* directedLine::insertPolygon(directedLine* oldList)
{
/*this polygon is a root*/
setRootBit();
if(oldList == NULL) return this;
nextPolygon = oldList;
/* oldList->prevPolygon = this;*/
return this;
}
/*cutoff means delete. but we don't deallocate any space,
*so we use cutoff instead of delete
*/
directedLine* directedLine::cutoffPolygon(directedLine *p)
{
directedLine* temp;
directedLine* prev_polygon = NULL;
if(p == NULL) return this;
for(temp=this; temp != p; temp = temp->nextPolygon)
{
if(temp == NULL)
{
fprintf(stderr, "in cutoffPolygon, not found\n");
exit(1);
}
prev_polygon = temp;
}
/* prev_polygon = p->prevPolygon;*/
p->resetRootBit();
if(prev_polygon == NULL) /*this is the one to cutoff*/
return nextPolygon;
else {
prev_polygon->nextPolygon = p->nextPolygon;
return this;
}
}
Int directedLine::numPolygons()
{
if(nextPolygon == NULL) return 1;
else return 1+nextPolygon->numPolygons();
}
/*let array[index ...] denote
*all the edges in this polygon
*return the next available index of array.
*/
Int directedLine::toArraySinglePolygon(directedLine** array, Int index)
{
directedLine *temp;
array[index++] = this;
for(temp = next; temp != this; temp = temp->next)
{
array[index++] = temp;
}
return index;
}
/*the space is allocated. The caller is responsible for
*deallocate the space.
*total_num_edges is set to be the total number of edges of all polygons
*/
directedLine** directedLine::toArrayAllPolygons(Int& total_num_edges)
{
total_num_edges=numEdgesAllPolygons();
directedLine** ret = (directedLine**) malloc(sizeof(directedLine*) * total_num_edges);
assert(ret);
directedLine *temp;
Int index = 0;
for(temp=this; temp != NULL; temp=temp->nextPolygon) {
index = temp->toArraySinglePolygon(ret, index);
}
return ret;
}
/*assume the polygon is a simple polygon, return
*the area enclosed by it.
*if thee order is counterclock wise, the area is positive.
*/
Real directedLine::polyArea()
{
directedLine* temp;
Real ret=0.0;
Real x1,y1,x2,y2;
x1 = this->head()[0];
y1 = this->head()[1];
x2 = this->next->head()[0];
y2 = this->next->head()[1];
ret = -(x2*y1-x1*y2);
for(temp=this->next; temp!=this; temp = temp->next)
{
x1 = temp->head()[0];
y1 = temp->head()[1];
x2 = temp->next->head()[0];
y2 = temp->next->head()[1];
ret += -( x2*y1-x1*y2);
}
return Real(0.5)*ret;
}
/*******************split or combine polygons begin********************/
/*conect a diagonal of a single simple polygon or two simple polygons.
*If the two vertices v1 (head) and v2 (head) are in the same simple polygon,
*then we actually split the simple polygon into two polygons.
*If instead two vertices velong to two difference polygons,
*then we combine the two polygons into one polygon.
*It is upto the caller to decide whether this is a split or a
*combination.
*
*Case Split:
*split a single simple polygon into two simple polygons by
*connecting a diagonal (two vertices).
*v1, v2: the two vertices are the head() of the two directedLines.
* this routine generates one new sampledLine which is returned in
*generatedLine,
*and it generates two directedLines returned in ret_p1 and ret_p2.
*ret_p1 and ret_p2 are used as the entry to the two new polygons.
*Notice the caller should not deallocate the space of v2 and v2 after
*calling this function, since all of the edges are connected to
*ret_p1 or ret_p2.
*
*combine:
*combine two simpolygons into one by connecting one diagonal.
*the returned polygon is returned in ret_p1.
*/
/*ARGSUSED*/
void directedLine::connectDiagonal(directedLine* v1, directedLine* v2,
directedLine** ret_p1,
directedLine** ret_p2,
sampledLine** generatedLine,
directedLine* polygonList )
{
sampledLine *nsline = new sampledLine(2);
nsline->setPoint(0, v1->head());
nsline->setPoint(1, v2->head());
/*the increasing line is from v1 head to v2 head*/
directedLine* newLineInc = new directedLine(INCREASING, nsline);
directedLine* newLineDec = new directedLine(DECREASING, nsline);
directedLine* v1Prev = v1->prev;
directedLine* v2Prev = v2->prev;
v1 ->prev = newLineDec;
v2Prev ->next = newLineDec;
newLineDec->next = v1;
newLineDec->prev = v2Prev;
v2 ->prev = newLineInc;
v1Prev ->next = newLineInc;
newLineInc->next = v2;
newLineInc->prev = v1Prev;
*ret_p1 = newLineDec;
*ret_p2 = newLineInc;
*generatedLine = nsline;
}
//see the function connectDiangle
/*ARGSUSED*/
void directedLine::connectDiagonal_2slines(directedLine* v1, directedLine* v2,
directedLine** ret_p1,
directedLine** ret_p2,
directedLine* polygonList )
{
sampledLine *nsline = new sampledLine(2);
sampledLine *nsline2 = new sampledLine(2);
nsline->setPoint(0, v1->head());
nsline->setPoint(1, v2->head());
nsline2->setPoint(0, v1->head());
nsline2->setPoint(1, v2->head());
/*the increasing line is from v1 head to v2 head*/
directedLine* newLineInc = new directedLine(INCREASING, nsline);
directedLine* newLineDec = new directedLine(DECREASING, nsline2);
directedLine* v1Prev = v1->prev;
directedLine* v2Prev = v2->prev;
v1 ->prev = newLineDec;
v2Prev ->next = newLineDec;
newLineDec->next = v1;
newLineDec->prev = v2Prev;
v2 ->prev = newLineInc;
v1Prev ->next = newLineInc;
newLineInc->next = v2;
newLineInc->prev = v1Prev;
*ret_p1 = newLineDec;
*ret_p2 = newLineInc;
}
Int directedLine::samePolygon(directedLine* v1, directedLine* v2)
{
if(v1 == v2) return 1;
directedLine *temp;
for(temp = v1->next; temp != v1; temp = temp->next)
{
if(temp == v2) return 1;
}
return 0;
}
directedLine* directedLine::findRoot()
{
if(rootBit) return this;
directedLine* temp;
for(temp = next; temp != this; temp = temp->next)
if(temp -> rootBit ) return temp;
return NULL; /*should not happen*/
}
directedLine* directedLine::rootLinkFindRoot()
{
directedLine* tempRoot;
directedLine* tempLink;
tempRoot = this;
tempLink = rootLink;
while(tempLink != NULL){
tempRoot = tempLink;
tempLink = tempRoot->rootLink;
}
return tempRoot;
}
/*******************split or combine polygons end********************/
/*****************IO stuff begin*******************/
/*format:
*#polygons
* #vertices
* vertices
* #vertices
* vertices
*...
*/
void directedLine::writeAllPolygons(char* filename)
{
FILE* fp = fopen(filename, "w");
assert(fp);
Int nPolygons = numPolygons();
directedLine *root;
fprintf(fp, "%i\n", nPolygons);
for(root = this; root != NULL; root = root->nextPolygon)
{
directedLine *temp;
Int npoints=0;
npoints = root->get_npoints()-1;
for(temp = root->next; temp != root; temp=temp->next)
npoints += temp->get_npoints()-1;
fprintf(fp, "%i\n", npoints/*root->numEdges()*/);
for(Int i=0; i<root->get_npoints()-1; i++){
fprintf(fp, "%f ", root->getVertex(i)[0]);
fprintf(fp, "%f ", root->getVertex(i)[1]);
}
for(temp=root->next; temp != root; temp = temp->next)
{
for(Int i=0; i<temp->get_npoints()-1; i++){
fprintf(fp, "%f ", temp->getVertex(i)[0]);
fprintf(fp, "%f ", temp->getVertex(i)[1]);
}
fprintf(fp,"\n");
}
fprintf(fp, "\n");
}
fclose(fp);
}
directedLine* readAllPolygons(char* filename)
{
Int i,j;
FILE* fp = fopen(filename, "r");
assert(fp);
Int nPolygons;
fscanf(fp, "%i", &nPolygons);
directedLine *ret = NULL;
for(i=0; i<nPolygons; i++)
{
Int nEdges;
fscanf(fp, "%i", &nEdges);
Real vert[2][2];
Real VV[2][2];
/*the first two vertices*/
fscanf(fp, "%f", &(vert[0][0]));
fscanf(fp, "%f", &(vert[0][1]));
fscanf(fp, "%f", &(vert[1][0]));
fscanf(fp, "%f", &(vert[1][1]));
VV[1][0] = vert[0][0];
VV[1][1] = vert[0][1];
sampledLine *sLine = new sampledLine(2, vert);
directedLine *thisPoly = new directedLine(INCREASING, sLine);
thisPoly->rootLinkSet(NULL);
directedLine *dLine;
for(j=2; j<nEdges; j++)
{
vert[0][0]=vert[1][0];
vert[0][1]=vert[1][1];
fscanf(fp, "%f", &(vert[1][0]));
fscanf(fp, "%f", &(vert[1][1]));
sLine = new sampledLine(2,vert);
dLine = new directedLine(INCREASING, sLine);
dLine->rootLinkSet(thisPoly);
thisPoly->insert(dLine);
}
VV[0][0]=vert[1][0];
VV[0][1]=vert[1][1];
sLine = new sampledLine(2,VV);
dLine = new directedLine(INCREASING, sLine);
dLine->rootLinkSet(thisPoly);
thisPoly->insert(dLine);
ret = thisPoly->insertPolygon(ret);
}
fclose(fp);
return ret;
}
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