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// File: GccAna_Circ2d2TanRad_1.cxx
// Created: Tue Sep 24 09:09:48 1991
// Author: Remi GILET
// <reg@topsn2>
#include <GccAna_Circ2d2TanRad.jxx>
#include <ElCLib.hxx>
#include <gp_Ax2d.hxx>
#include <gp_Circ2d.hxx>
#include <gp_Lin2d.hxx>
#include <IntAna2d_AnaIntersection.hxx>
#include <IntAna2d_IntPoint.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <Standard_NegativeValue.hxx>
#include <GccEnt_BadQualifier.hxx>
// circulaire tangent a un cercle et une ligne et de rayon donne
//==============================================================
//========================================================================
// On initialise WellDone a false. +
// On recupere le cercle C1 et la droite L2. +
// On sort en erreur dans les cas ou la construction est impossible. +
// On fait la parallele a C1 dans le bon sens. +
// On fait la parallele a L2 dans le bon sens. +
// On intersecte les paralleles ==> point de centre de la solution. +
// On cree la solution qu on ajoute aux solutions deja trouvees. +
// On remplit les champs. +
//========================================================================
GccAna_Circ2d2TanRad::
GccAna_Circ2d2TanRad (const GccEnt_QualifiedCirc& Qualified1 ,
const GccEnt_QualifiedLin& Qualified2 ,
const Standard_Real Radius ,
const Standard_Real Tolerance ):
qualifier1(1,8) ,
qualifier2(1,8),
TheSame1(1,8) ,
TheSame2(1,8) ,
cirsol(1,8) ,
pnttg1sol(1,8) ,
pnttg2sol(1,8) ,
par1sol(1,8) ,
par2sol(1,8) ,
pararg1(1,8) ,
pararg2(1,8)
{
Standard_Real Tol = Abs(Tolerance);
gp_Dir2d dirx(1.,0.);
NbrSol = 0;
WellDone = Standard_False;
if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
!(Qualified2.IsEnclosed() || Qualified2.IsOutside() ||
Qualified2.IsUnqualified())) {
GccEnt_BadQualifier::Raise();
return;
}
Standard_Integer i ;
for ( i = 1 ; i <= 8 ; i++) { TheSame2(i) = 0; }
Standard_Integer ncote1=0;
Standard_Integer ncote2=0;
Standard_Integer nbsol = 0;
Standard_Real cote = 0.0;
Standard_Real ccote = 0.0;
TColStd_Array1OfReal cote1(1,3);
TColStd_Array1OfReal cote2(1,2);
gp_Circ2d C1 = Qualified1.Qualified();
gp_Lin2d L2 = Qualified2.Qualified();
Standard_Real xdir = (L2.Direction()).X();
Standard_Real ydir = (L2.Direction()).Y();
gp_Dir2d normL2(-ydir,xdir);
Standard_Real lxloc = (L2.Location()).X();
Standard_Real lyloc = (L2.Location()).Y();
Standard_Real cxloc = (C1.Location()).X();
Standard_Real cyloc = (C1.Location()).Y();
Standard_Real R1 = C1.Radius();
gp_Pnt2d center1(cxloc,cyloc);
gp_Pnt2d origin2(lxloc,lyloc);
Standard_Real dist = Radius*2.0 + R1;
Standard_Real distance = L2.Distance(center1);
if (Radius < 0.0) { Standard_NegativeValue::Raise(); }
else {
if ( distance-dist >Tol) { WellDone = Standard_True; }
else if (Qualified1.IsEnclosed()) {
// =================================
if (Qualified2.IsEnclosed()) {
// ============================
if (distance-R1 > Tol) { WellDone = Standard_True; }
else if (((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(Radius*2.0-R1+distance > Tol)) ||
((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(Radius*2.0-R1-distance > Tol))||
(Radius-R1 > Tol)) { WellDone = Standard_True; }
else {
if (((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(Radius*2.0>R1-distance)) || (Abs(distance-R1)<Tol) ||
((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(Radius*2.0 > (R1+distance+Tol)))) {
cote = 1.0;
nbsol = 3;
ccote = 1.0;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = R1-Radius;
cote2(1) = 1.0;
nbsol = 1;
}
}
}
else if (Qualified2.IsOutside()) {
// ================================
if (distance > R1+Tol) { WellDone = Standard_True; }
else if ((((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)) > 0.0) &&
(Radius*2.0-R1+distance > Tol)) ||
(((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)) < 0.0) &&
(Radius*2.0-R1-distance > Tol)) ||
(Radius-R1 >Tol)) { WellDone = Standard_True; }
else {
if (((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc) > 0.0) &&
(Radius*2.0 > R1-distance)) || (Abs(R1-Radius) < Tol) ||
((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc) < 0.0) &&
(Radius*2.0>(R1+distance))) || (Abs(distance-R1)<Tol)) {
cote = -1.0;
nbsol = 3;
ccote = 1.0;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = R1-Radius;
cote2(1) = -1.0;
nbsol = 1;
}
}
}
else if (Qualified2.IsUnqualified()) {
// ====================================
if ((distance-R1>Tol) || (Radius*2.0-R1-distance>Tol) ||
(Radius-R1 > Tol)) { WellDone = Standard_True; }
else if (distance > R1) {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc) > 0.0)) {
cote = 1.0;
}
else {
cote = -1.0;
nbsol = 3;
}
nbsol = 3;
ccote = 1;
}
else {
ncote1 = 1;
ncote2 = 2;
cote1(1) = R1-Radius;
cote2(1) = 1.0;
cote2(2) = -1.0;
nbsol = 1;
}
}
if (nbsol == 3) {
}
}
else if (Qualified1.IsEnclosing()) {
// ==================================
if (Qualified2.IsEnclosed()) {
// =================================
if ((distance<R1-Tol)||(Radius<R1-Tol)||(Radius*2<distance+R1-Tol) ||
(Tol<R1-Radius)||(-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0)){
WellDone = Standard_True;
}
else if ((distance<R1) || (Radius<R1) || (Radius*2.0<distance+R1)) {
cote = 1.0;
ccote =1.0;
nbsol = 3;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = Radius-R1;
cote2(1) = 1.0;
nbsol = 1;
}
}
else if (Qualified2.IsOutside()) {
// ================================
if ((Tol<R1-distance) || (Tol<distance+R1-Radius*2.0) ||
(Tol<R1-Radius)||(-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0)){
WellDone = Standard_True;
}
else if ((distance<R1) || (Radius*2.0<distance+R1) || (Radius<R1)) {
cote = -1.0;
ccote = -1.0;
nbsol = 3;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = Radius-R1;
cote2(1) = -1.0;
nbsol = 1;
}
}
else if (Qualified2.IsUnqualified()) {
// ====================================
if ((distance<R1-Tol) || (Radius*2.0<distance+R1-Tol) ||
(Radius < R1-Tol)) { WellDone = Standard_True; }
else if ((distance < R1) || (Radius*2.0 < distance+R1)) {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc) > 0.0)) {
cote = 1.0;
ccote = 1.0;
nbsol = 3;
}
else {
ccote = -1.0;
cote = -1.0;
nbsol = 3;
}
}
else {
ncote1 = 1;
ncote2 = 2;
cote1(1) = Radius-R1;
cote2(1) = 1.0;
cote2(2) = -1.0;
nbsol = 1;
}
}
}
else if ((Qualified1.IsOutside()) && (Qualified2.IsEnclosed())) {
// ===============================================================
if (((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(distance>R1+Tol)) || (distance > R1+Radius*2.0+Tol)) {
WellDone = Standard_True;
}
else {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(distance>R1)) {
cote = 1.0;
nbsol = 2;
}
else if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(distance>R1+2.0*Radius)) {
cote = -1.0;
nbsol = 2;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = Radius+R1;
cote2(1) = 1.0;
nbsol = 1;
}
}
}
else if ((Qualified1.IsOutside()) && (Qualified2.IsOutside())) {
// ==============================================================
if (((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(distance>R1+Tol)) || (distance > R1+Radius*2.0+Tol)) {
WellDone = Standard_True;
}
else {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) && (distance>R1)) {
cote = -1.0;
nbsol = 2;
}
else if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(distance>R1+2.0*Radius)) {
cote = 1.0;
nbsol = 2;
}
else {
ncote1 = 1;
ncote2 = 1;
cote1(1) = Radius+R1;
cote2(1) = -1.0;
nbsol = 1;
}
}
}
else if ((Qualified1.IsOutside()) && (Qualified2.IsUnqualified())) {
// ==================================================================
if (distance > Radius*2.0+R1+Tol) { WellDone = Standard_True; }
else if (distance > Radius*2.0+R1) {
if (-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) { cote = 1.0; }
else { cote = -1.0; }
nbsol = 4;
}
else {
ncote1 = 1;
ncote2 = 2;
cote1(1) = Radius+R1;
cote2(1) = 1.0;
cote2(2) = -1.0;
nbsol = 1;
}
}
else if ((Qualified1.IsUnqualified()) && (Qualified2.IsEnclosed())) {
// ===================================================================
if ((distance>R1+Radius*2.0+Tol) ||
((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(distance > R1+Tol))){ WellDone = Standard_True; }
else {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) && (distance > R1)){
cote = 1.0;
nbsol = 2;
}
else if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(distance>R1+2.0*Radius)) {
cote = -1.0;
nbsol = 2;
}
else {
ncote1 = 2;
ncote2 = 1;
cote1(1) = Abs(Radius-R1);
cote1(2) = Radius+R1;
cote2(1) = 1.0;
nbsol = 1;
}
}
}
else if ((Qualified1.IsUnqualified()) && (Qualified2.IsOutside())) {
// ==================================================================
if ((distance>R1+Radius*2.0+Tol) ||
((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) &&
(distance > R1+Tol))){ WellDone = Standard_True; }
else {
if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)<0.0) && (distance > R1)){
cote = -1.0;
nbsol = 2;
}
else if ((-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) &&
(distance>R1+2.0*Radius)) {
cote = 1.0;
nbsol = 2;
}
else {
ncote1 = 2;
ncote2 = 1;
cote1(1) = Abs(Radius-R1);
cote1(2) = Radius+R1;
cote2(1) = -1.0;
nbsol = 1;
}
}
}
else if ((Qualified1.IsUnqualified()) && (Qualified2.IsUnqualified())) {
// ======================================================================
if (distance>R1+Radius*2.0+Tol) { WellDone = Standard_True; }
else if (distance>R1+Radius*2.0) {
if (-ydir*(cxloc-lxloc)+xdir*(cyloc-lyloc)>0.0) { cote = -1.0; }
else { cote = 1.0; }
nbsol = 4;
}
else {
ncote1 = 2;
ncote2 = 2;
cote1(1) = Abs(Radius-R1);
cote1(2) = Radius+R1;
cote2(1) = 1.0;
cote2(2) = -1.0;
nbsol = 1;
}
}
if (nbsol == 1) {
for (Standard_Integer jcote1 = 1 ; jcote1 <= ncote1 ; jcote1++) {
for (Standard_Integer jcote2 = 1 ; jcote2 <= ncote2 ; jcote2++) {
if (cote1(jcote1)<Tol) continue;
gp_Circ2d cirint(gp_Ax2d(center1,dirx),cote1(jcote1));
gp_Lin2d linint(gp_Pnt2d(lxloc-cote2(jcote2)*ydir*Radius,
lyloc+cote2(jcote2)*xdir*Radius),L2.Direction());
IntAna2d_AnaIntersection Intp(linint,cirint);
if (Intp.IsDone()) {
if (!Intp.IsEmpty()) {
for (i = 1 ; i <= Intp.NbPoints() ; i++) {
NbrSol++;
gp_Pnt2d Center(Intp.Point(i).Value());
gp_Ax2d axe(Center,dirx);
cirsol(NbrSol) = gp_Circ2d(axe,Radius);
// ======================================
#ifdef DEB
gp_Dir2d dc1(center1.XY()-Center.XY());
#endif
gp_Dir2d dc2(origin2.XY()-Center.XY());
Standard_Real distcc1 = Center.Distance(center1);
if (!Qualified1.IsUnqualified()) {
qualifier1(NbrSol) = Qualified1.Qualifier();
}
else if (Abs(distcc1+Radius-R1) < Tol) {
qualifier1(NbrSol) = GccEnt_enclosed;
}
else if (Abs(distcc1-R1-Radius) < Tol) {
qualifier1(NbrSol) = GccEnt_outside;
}
else { qualifier1(NbrSol) = GccEnt_enclosing; }
if (!Qualified2.IsUnqualified()) {
qualifier2(NbrSol) = Qualified2.Qualifier();
}
else if (dc2.Dot(normL2) > 0.0) {
qualifier2(NbrSol) = GccEnt_outside;
}
else { qualifier2(NbrSol) = GccEnt_enclosed; }
TheSame1(NbrSol) = 0;
if ((Radius < R1) && Center.Distance(center1) <= R1) {
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*(gp_Dir2d(
Center.XY()-center1.XY()).XY()));
}
else {
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()-Radius*(gp_Dir2d(
Center.XY()-center1.XY()).XY()));
}
pnttg2sol(NbrSol) = gp_Pnt2d(Center.XY()+
cote2(jcote2)*Radius*gp_XY(ydir,-xdir));
}
}
WellDone = Standard_True;
}
}
}
}
else if (nbsol == 2) {
gp_Pnt2d Cen(center1.XY()+cote*(R1+Radius)*gp_XY(-ydir,xdir));
gp_Ax2d axe(Cen,dirx);
cirsol(1) = gp_Circ2d(axe,Radius);
// =================================
WellDone = Standard_True;
NbrSol = 1;
TheSame1(1) = 0;
qualifier1(1) = Qualified1.Qualifier();;
qualifier2(1) = Qualified2.Qualifier();
pnttg1sol(1)=gp_Pnt2d(Cen.XY()+cote*Radius*gp_XY(ydir,-xdir));
pnttg2sol(1)=gp_Pnt2d(Cen.XY()+Radius*gp_XY(ydir,-xdir));
}
else if (nbsol == 3) {
WellDone = Standard_True;
NbrSol = 1;
gp_Pnt2d Cen(center1.XY()+cote*(R1-Radius)*gp_XY(ydir,-xdir));
gp_Ax2d axe(Cen,dirx);
cirsol(1) = gp_Circ2d(axe,Radius);
// =================================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified2.Qualifier();
pnttg2sol(1) = gp_Pnt2d(Cen.XY()+cote*Radius*gp_XY(ydir,-xdir));
if (Abs(R1-Radius) > 0.0) {
pnttg1sol(1) = gp_Pnt2d(Cen.XY()+ccote*Radius*gp_XY(ydir,-xdir));
}
else { TheSame1(1) = 1; }
}
else if (nbsol == 4) {
gp_Pnt2d Cent(center1.XY()+cote*(R1+Radius)*gp_XY(-ydir,xdir));
gp_Ax2d axe(Cent,dirx);
cirsol(1) = gp_Circ2d(axe,Radius);
// =================================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified2.Qualifier();
WellDone = Standard_True;
NbrSol = 1;
TheSame1(1) = 0;
pnttg1sol(1)=gp_Pnt2d(Cent.XY()+cote*Radius*gp_XY(ydir,-xdir));
pnttg2sol(1)=gp_Pnt2d(Cent.XY()+cote*Radius*gp_XY(-ydir,xdir));
}
}
for (i = 1 ; i <= NbrSol ; i++) {
par1sol(i)=ElCLib::Parameter(cirsol(i),pnttg1sol(i));
if (TheSame1(i) == 0) {
pararg1(i)=ElCLib::Parameter(C1,pnttg1sol(i));
}
par2sol(i)=ElCLib::Parameter(cirsol(i),pnttg2sol(i));
pararg2(i)=ElCLib::Parameter(L2,pnttg2sol(i));
}
}
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