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// File GccAna_Circ2d2TanOn.cxx, REG 08/07/91
#include <GccAna_Circ2d2TanOn.ixx>
#include <TColStd_Array1OfReal.hxx>
#include <TColStd_SequenceOfReal.hxx>
#include <IntAna2d_AnaIntersection.hxx>
#include <IntAna2d_IntPoint.hxx>
#include <Standard_OutOfRange.hxx>
#include <ElCLib.hxx>
#include <gp_Dir2d.hxx>
#include <gp_Ax2d.hxx>
#include <GccInt_IType.hxx>
#include <GccInt_BCirc.hxx>
#include <GccInt_BLine.hxx>
#include <IntAna2d_Conic.hxx>
#include <StdFail_NotDone.hxx>
#include <GccEnt_BadQualifier.hxx>
#include <GccAna_Circ2dBisec.hxx>
//=========================================================================
// Cercles tangents a deux cercles C1 et C2 et centres sur une droite. +
// Nous commencons par distinguer les differents cas limites que nous +
// allons traiter separement. +
// Pour le cas general: +
// ==================== +
// Nous calculons les bissectrices aux deux cercles qui nous donnent +
// l ensemble des lieux possibles des centres de tous les cercles +
// tangents a C1 et C2. +
// Nous intersectons ces bissectrices avec la droite OnLine ce qui nous +
// donne les points parmis lesquels nous allons choisir les solutions. +
// Les choix s effectuent a partir des Qualifieurs qualifiant C1 et C2. +
//=========================================================================
GccAna_Circ2d2TanOn::
GccAna_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 ,
const GccEnt_QualifiedCirc& Qualified2 ,
const gp_Lin2d& OnLine ,
const Standard_Real Tolerance ):
cirsol(1,4) ,
qualifier1(1,4),
qualifier2(1,4) ,
TheSame1(1,4) ,
TheSame2(1,4) ,
pnttg1sol(1,4),
pnttg2sol(1,4),
pntcen(1,4) ,
par1sol(1,4) ,
par2sol(1,4) ,
pararg1(1,4) ,
pararg2(1,4) ,
parcen3(1,4)
{
TheSame1.Init(0);
TheSame2.Init(0);
WellDone = Standard_False;
NbrSol = 0;
Standard_Integer nbsol = 0;
Standard_Real Tol = Abs(Tolerance);
if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
!(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
GccEnt_BadQualifier::Raise();
return;
}
gp_Circ2d C1 = Qualified1.Qualified();
gp_Circ2d C2 = Qualified2.Qualified();
Standard_Real R1 = C1.Radius();
Standard_Real R2 = C2.Radius();
gp_Dir2d dirx(1.,0.);
gp_Pnt2d center1(C1.Location());
gp_Pnt2d center2(C2.Location());
TColStd_Array1OfReal Radius(1,2);
Standard_Real dist1 = OnLine.Distance(center1);
Standard_Real dist2 = OnLine.Distance(center2);
Standard_Real d1 = dist1+R1;
Standard_Real d2 = dist2+R2;
Standard_Real d3 = dist1-R1;
Standard_Real d4 = dist2-R2;
//=========================================================================
// Traitement des cas limites. +
//=========================================================================
if (Abs(d3-d4)<Tol &&
(Qualified1.IsEnclosed() || Qualified1.IsOutside() ||
Qualified1.IsUnqualified()) &&
(Qualified2.IsEnclosed() || Qualified2.IsOutside() ||
Qualified2.IsUnqualified())) {
nbsol++;
Radius(nbsol) = Abs(d3);
WellDone = Standard_True;
}
if (Abs(d1-d2)<Tol &&
(Qualified1.IsEnclosing() || Qualified1.IsUnqualified()) &&
(Qualified2.IsEnclosing() || Qualified2.IsUnqualified())){
nbsol++;
Radius(nbsol) = Abs(d1);
WellDone = Standard_True;
}
if (Abs(d1-d4)<Tol &&
(Qualified1.IsEnclosing() || Qualified1.IsUnqualified()) &&
(Qualified2.IsEnclosed() || Qualified2.IsOutside() ||
Qualified2.IsUnqualified())){
nbsol++;
Radius(nbsol) = Abs(d1);
WellDone = Standard_True;
}
if (Abs(d3-d2)<Tol &&
(Qualified2.IsEnclosing() || Qualified2.IsUnqualified()) &&
(Qualified1.IsEnclosed() || Qualified1.IsOutside() ||
Qualified1.IsUnqualified())){
nbsol++;
Radius(nbsol) = Abs(d3);
WellDone = Standard_True;
}
gp_Lin2d L(center1,gp_Dir2d(center2.XY()-center1.XY()));
IntAna2d_AnaIntersection Intp(OnLine,L);
if (Intp.IsDone()) {
if (!Intp.IsEmpty()){
for (Standard_Integer j = 1 ; j <= Intp.NbPoints() ; j++) {
gp_Pnt2d Center(Intp.Point(j).Value());
for (Standard_Integer i = 1 ; i <= nbsol ; i++) {
NbrSol++;
cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius(i));
// ==========================================================
WellDone = Standard_True;
Standard_Real distcc1 = Center.Distance(center1);
Standard_Real distcc2 = Center.Distance(center2);
if (!Qualified1.IsUnqualified()) {
qualifier1(NbrSol) = Qualified1.Qualifier();
}
else if (Abs(distcc1+Radius(i)-R1) < Tol) {
qualifier1(NbrSol) = GccEnt_enclosed;
}
else if (Abs(distcc1-R1-Radius(i)) < Tol) {
qualifier1(NbrSol) = GccEnt_outside;
}
else { qualifier1(NbrSol) = GccEnt_enclosing; }
if (!Qualified2.IsUnqualified()) {
qualifier2(NbrSol) = Qualified2.Qualifier();
}
else if (Abs(distcc2+Radius(i)-R2) < Tol) {
qualifier2(NbrSol) = GccEnt_enclosed;
}
else if (Abs(distcc2-R2-Radius(i)) < Tol) {
qualifier2(NbrSol) = GccEnt_outside;
}
else { qualifier2(NbrSol) = GccEnt_enclosing; }
gp_Dir2d dc1(center1.XY()-Center.XY());
gp_Dir2d dc2(center2.XY()-Center.XY());
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius(i)*dc1.XY());
pnttg2sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius(i)*dc2.XY());
par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
pnttg1sol(NbrSol));
pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol));
par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
pnttg2sol(NbrSol));
pararg2(NbrSol)=ElCLib::Parameter(C2,pnttg2sol(NbrSol));
pntcen(NbrSol) = cirsol(NbrSol).Location();
parcen3(NbrSol)=ElCLib::Parameter(OnLine,pntcen(NbrSol));
}
}
}
}
//=========================================================================
// Cas general. +
//=========================================================================
if (!WellDone) {
GccAna_Circ2dBisec Bis(C1,C2);
if (Bis.IsDone()) {
TColStd_Array1OfReal Rbid(1,2);
TColStd_Array1OfReal RBid(1,2);
Standard_Integer nbsolution = Bis.NbSolutions();
for (Standard_Integer i = 1 ; i <= nbsolution ; i++) {
Handle(GccInt_Bisec) Sol = Bis.ThisSolution(i);
GccInt_IType typ = Sol->ArcType();
if (typ == GccInt_Cir) {
Intp.Perform(OnLine,Sol->Circle());
}
else if (typ == GccInt_Lin) {
Intp.Perform(OnLine,Sol->Line());
}
else if (typ == GccInt_Hpr) {
Intp.Perform(OnLine,IntAna2d_Conic(Sol->Hyperbola()));
}
else if (typ == GccInt_Ell) {
Intp.Perform(OnLine,IntAna2d_Conic(Sol->Ellipse()));
}
if (Intp.IsDone()) {
if (!Intp.IsEmpty()){
for (Standard_Integer j = 1 ; j <= Intp.NbPoints() ; j++) {
gp_Pnt2d Center(Intp.Point(j).Value());
dist1 = Center.Distance(center1);
dist2 = Center.Distance(center2);
nbsol = 0;
Standard_Integer nsol = 0;
Standard_Integer nnsol = 0;
R1 = C1.Radius();
R2 = C2.Radius();
if (Qualified1.IsEnclosed()) {
if (dist1-R1 < Tol) {
nbsol = 1;
Rbid(1) = Abs(R1-dist1);
}
}
else if (Qualified1.IsOutside()) {
if (R1-dist1 < Tol) {
nbsol = 1;
Rbid(1) = Abs(dist1-R1);
}
}
else if (Qualified1.IsEnclosing()) {
nbsol = 1;
Rbid(1) = dist1+R1;
}
else if (Qualified1.IsUnqualified()) {
nbsol = 2;
Rbid(1) = dist1+R1;
Rbid(1) = Abs(dist1-R1);
}
if (Qualified2.IsEnclosed() && nbsol != 0) {
if (dist2-R2 < Tol) {
nsol = 1;
RBid(1) = Abs(R2-dist2);
}
}
else if (Qualified2.IsOutside() && nbsol != 0) {
if (R2-dist2 < Tol) {
nsol = 1;
RBid(1) = Abs(R2-dist2);
}
}
else if (Qualified2.IsEnclosing() && nbsol != 0) {
nsol = 1;
RBid(1) = dist2+R2;
}
else if (Qualified2.IsUnqualified() && nbsol != 0) {
nsol = 2;
RBid(1) = dist2+R2;
RBid(2) = Abs(R2-dist2);
}
for (Standard_Integer isol = 1; isol <= nbsol ; isol++) {
for (Standard_Integer jsol = 1; jsol <= nsol ; jsol++) {
if (Abs(Rbid(isol)-RBid(jsol)) <= Tol) {
nnsol++;
Radius(nnsol) = (RBid(jsol)+Rbid(isol))/2.;
}
}
}
if (nnsol > 0) {
for (Standard_Integer k = 1 ; k <= nnsol ; k++) {
NbrSol++;
cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius(k));
// ==========================================================
Standard_Real distcc1 = Center.Distance(center1);
Standard_Real distcc2 = Center.Distance(center2);
if (!Qualified1.IsUnqualified()) {
qualifier1(NbrSol) = Qualified1.Qualifier();
}
else if (Abs(distcc1+Radius(i)-R1) < Tol) {
qualifier1(NbrSol) = GccEnt_enclosed;
}
else if (Abs(distcc1-R1-Radius(i)) < Tol) {
qualifier1(NbrSol) = GccEnt_outside;
}
else { qualifier1(NbrSol) = GccEnt_enclosing; }
if (!Qualified2.IsUnqualified()) {
qualifier2(NbrSol) = Qualified2.Qualifier();
}
else if (Abs(distcc2+Radius(i)-R2) < Tol) {
qualifier2(NbrSol) = GccEnt_enclosed;
}
else if (Abs(distcc2-R2-Radius(i)) < Tol) {
qualifier2(NbrSol) = GccEnt_outside;
}
else { qualifier2(NbrSol) = GccEnt_enclosing; }
if (Center.Distance(center1) <= Tol &&
Abs(Radius(k)-C1.Radius()) <= Tol) {TheSame1(NbrSol)=1;}
else {
TheSame1(NbrSol) = 0;
gp_Dir2d dc1(center1.XY()-Center.XY());
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+
Radius(k)*dc1.XY());
par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
pnttg1sol(NbrSol));
pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg2sol(NbrSol));
}
if (Center.Distance(center2) <= Tol &&
Abs(Radius(k)-C2.Radius()) <= Tol) {TheSame2(NbrSol)=1;}
else {
TheSame2(NbrSol) = 0;
gp_Dir2d dc2(center2.XY()-Center.XY());
pnttg2sol(NbrSol) = gp_Pnt2d(Center.XY()+
Radius(k)*dc2.XY());
par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
pnttg2sol(NbrSol));
pararg2(NbrSol)=ElCLib::Parameter(C2,pnttg2sol(NbrSol));
}
pntcen(NbrSol) = Center;
parcen3(NbrSol)=ElCLib::Parameter(OnLine,pntcen(NbrSol));
}
}
}
}
WellDone = Standard_True;
}
}
}
}
}
//========================================================================
Standard_Boolean GccAna_Circ2d2TanOn::
IsDone () const{ return WellDone; }
Standard_Integer GccAna_Circ2d2TanOn::
NbSolutions () const{ return NbrSol; }
gp_Circ2d GccAna_Circ2d2TanOn::
ThisSolution (const Standard_Integer Index) const{ return cirsol(Index); }
void GccAna_Circ2d2TanOn::
WhichQualifier(const Standard_Integer Index ,
GccEnt_Position& Qualif1 ,
GccEnt_Position& Qualif2 ) const
{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
else {
Qualif1 = qualifier1(Index);
Qualif2 = qualifier2(Index);
}
}
void GccAna_Circ2d2TanOn::
Tangency1 (const Standard_Integer Index ,
Standard_Real& ParSol ,
Standard_Real& ParArg ,
gp_Pnt2d& PntSol ) const{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
else {
if (TheSame1(Index) == 0) {
ParSol = par1sol(Index);
ParArg = pararg1(Index);
PntSol = gp_Pnt2d(pnttg1sol(Index));
}
else { StdFail_NotDone::Raise(); }
}
}
void GccAna_Circ2d2TanOn::
Tangency2 (const Standard_Integer Index ,
Standard_Real& ParSol ,
Standard_Real& ParArg ,
gp_Pnt2d& PntSol ) const{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
else {
if (TheSame2(Index) == 0) {
ParSol = par2sol(Index);
ParArg = pararg2(Index);
PntSol = gp_Pnt2d(pnttg2sol(Index));
}
else { StdFail_NotDone::Raise(); }
}
}
void GccAna_Circ2d2TanOn::
CenterOn3 (const Standard_Integer Index ,
Standard_Real& ParArg ,
gp_Pnt2d& PntSol ) const{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
else {
ParArg = parcen3(Index);
PntSol = pnttg1sol(Index);
}
}
Standard_Boolean GccAna_Circ2d2TanOn::
IsTheSame1 (const Standard_Integer Index) const
{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
if (TheSame1(Index) == 0) { return Standard_False; }
return Standard_True;
}
Standard_Boolean GccAna_Circ2d2TanOn::
IsTheSame2 (const Standard_Integer Index) const
{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
if (TheSame2(Index) == 0) { return Standard_False; }
return Standard_True;
}
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