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// file GccAna_Circ2dTanOnRad_3.cxx, REG 08/07/91
#include <GccAna_Circ2dTanOnRad.jxx>
#include <ElCLib.hxx>
#include <IntAna2d_AnaIntersection.hxx>
#include <IntAna2d_IntPoint.hxx>
#include <Standard_NegativeValue.hxx>
#include <Standard_OutOfRange.hxx>
#include <TColgp_Array1OfDir2d.hxx>
#include <gp_Dir2d.hxx>
#include <GccEnt_BadQualifier.hxx>
//=========================================================================
// Cercle tangent a un cercle Qualified1 (C1). +
// centre sur un cercle OnCirc. +
// de rayon Radius. +
// +
// On initialise le tableau de solutions cirsol ainsi que tous les +
// champs. +
// On elimine les cas ne presentant pas de solution. +
// On cree la (les) parallele(s) a C1 dans le (les) sens voulu(s). +
// On intersecte cette (ces) parallele(s) avec OnCirc et on obtient le +
// (les) point(s) de centre de la (des) solution(s) recherchee(s). +
// On cree cette (ces) solution(s) cirsol. +
//=========================================================================
GccAna_Circ2dTanOnRad::
GccAna_Circ2dTanOnRad (const GccEnt_QualifiedCirc& Qualified1,
const gp_Circ2d& OnCirc ,
const Standard_Real Radius ,
const Standard_Real Tolerance ):
cirsol(1,4) ,
qualifier1(1,4) ,
TheSame1(1,4) ,
pnttg1sol(1,4),
pntcen3(1,4) ,
par1sol(1,4) ,
pararg1(1,4) ,
parcen3(1,4)
{
TheSame1.Init(0);
gp_Dir2d dirx(1.0,0.0);
Standard_Real Tol = Abs(Tolerance);
Standard_Integer signe[5];
signe[0] = 0;
signe[1] = 0;
signe[2] = 0;
signe[3] = 0;
signe[4] = 0;
Standard_Real disparal[2];
Standard_Integer nparal = 0;
Standard_Integer sign = 0;
WellDone = Standard_False;
NbrSol = 0;
if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
GccEnt_BadQualifier::Raise();
return;
}
gp_Circ2d C1 = Qualified1.Qualified();
TColgp_Array1OfPnt2d Center(1,4);
TColgp_Array1OfDir2d dir1on(1,4);
if (Radius < 0.0) { Standard_NegativeValue::Raise(); }
else {
Standard_Real R1 = C1.Radius();
Standard_Real R2 = OnCirc.Radius();
Standard_Real c1x = C1.Location().X();
Standard_Real c1y = C1.Location().Y();
gp_Pnt2d center1(c1x,c1y);
Standard_Real dist = OnCirc.Location().Distance(center1);
Standard_Real onx = OnCirc.Location().X();
Standard_Real ony = OnCirc.Location().Y();
if (Qualified1.IsEnclosed()) {
// ============================
if ((Radius-R1 > Tol) || (R1-dist-R2-Radius > Tol)) {
WellDone=Standard_True;
}
else {
if (Abs(Radius-R1) < Tol) {
if (OnCirc.Distance(center1) < Tol) {
cirsol(NbrSol) = C1;
// ==============
qualifier1(NbrSol) = Qualified1.Qualifier();
NbrSol = 1;
TheSame1(NbrSol) = 1;
pntcen3(NbrSol) = center1;
parcen3(NbrSol)=ElCLib::Parameter(OnCirc,pntcen3(NbrSol));
WellDone = Standard_True;
}
else { WellDone = Standard_False; }
}
else if (Abs(R1-dist-R2-Radius) <= Tol) {
dir1on(1) = gp_Dir2d(c1x-onx,c1y-ony);
sign = -1;
}
else {
nparal = 1;
disparal[0] = Abs(R1-Radius);
}
}
}
else if (Qualified1.IsEnclosing()) {
// ==================================
if ((Tol<R1-Radius)||(Tol<R1+dist-R2-Radius)||(Radius-R1-dist-R2>Tol)) {
WellDone = Standard_True;
}
else {
if (Abs(Radius-R1) < Tol) {
if (OnCirc.Distance(center1) < Tol) {
cirsol(NbrSol) = C1;
// ==============
qualifier1(NbrSol) = Qualified1.Qualifier();
NbrSol = 1;
TheSame1(NbrSol) = 1;
pntcen3(NbrSol) = center1;
parcen3(NbrSol)=ElCLib::Parameter(OnCirc,pntcen3(NbrSol));
WellDone = Standard_True;
}
else { WellDone = Standard_True; }
}
else if ((Abs(R1+dist-R2-Radius)<Tol)||(Abs(Radius-R1-dist-R2)<Tol)) {
dir1on(1) = gp_Dir2d(c1x-onx,c1y-ony);
if (Abs(R1+dist-R2-Radius) < Tol) { sign = 1; }
else { sign = -1; }
}
else {
nparal = 1;
disparal[0] = Abs(R1-Radius);
}
}
}
else if (Qualified1.IsOutside()) {
// ================================
if ((dist-R2-R1-Radius>Tol)||(Radius-dist-R2+R1>Tol)) {
WellDone=Standard_True;
}
else {
dir1on(1) = gp_Dir2d(c1x-onx,c1y-ony);
if (Abs(R1-dist-R2+Radius) < Tol) {
sign = -1;
}
else if (Abs(dist-R1-R2-Radius) < Tol) { sign = 1; }
else {
nparal = 1;
disparal[0] = Abs(R1+Radius);
}
}
}
else {
if ((dist-R2-R1-Radius>Tol)||(Radius-dist-R1-R2>Tol)) {
WellDone=Standard_True;
}
else if ((R1-dist-R2>Tol)&&(Tol<R1-R2-dist-Radius)) {
WellDone = Standard_True;
}
else {
dir1on(1) = gp_Dir2d(c1x-onx,c1y-ony);
if (Abs(dist-R1-R2-Radius) < Tol) {
sign = 1;
}
else if (dist+R1+R2-Radius < 0.0) { sign = -1; }
else if ((R1-dist+R2>0.0) && (R1-R2-dist-Radius>0.0)) { sign = -1; }
else {
nparal = 2;
disparal[0] = Abs(R1+Radius);
disparal[1] = Abs(R1-Radius);
}
}
}
for (Standard_Integer jj = 0 ; jj < nparal ; jj++) {
IntAna2d_AnaIntersection Intp(OnCirc,
gp_Circ2d(gp_Ax2d(center1,dirx),disparal[jj]));
if (Intp.IsDone()) {
if (!Intp.IsEmpty()) {
for (Standard_Integer i = 1 ; i <= Intp.NbPoints() ; i++) {
NbrSol++;
Center(NbrSol) = gp_Pnt2d(Intp.Point(i).Value());
cirsol(NbrSol)=gp_Circ2d(gp_Ax2d(Center(NbrSol),dirx),Radius);
// =============================================================
Standard_Real distcc1 = Center(NbrSol).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; }
dir1on(NbrSol) = gp_Dir2d(c1x-Center(NbrSol).X(),
c1y-Center(NbrSol).Y());
if ((R1>Radius) && (Center(NbrSol).Distance (center1)<=R1)){
signe[NbrSol-1] = -1;
}
else {
signe[NbrSol-1] = 1;
}
}
}
WellDone = Standard_True;
}
}
if (sign != 0) {
Center(1) = gp_Pnt2d(OnCirc.Location().XY()+sign*R2*dir1on(1).XY());
cirsol(1) = gp_Circ2d(gp_Ax2d(Center(1),dirx),Radius);
// =====================================================
Standard_Real distcc1 = Center(1).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; }
NbrSol = 1;
signe[NbrSol-1] = 1;
WellDone = Standard_True;
}
Standard_Integer ii = 0;
while (signe[ii] != 0) {
pnttg1sol(ii+1) = gp_Pnt2d(Center(ii+1).XY()+
signe[ii]*Radius*dir1on(ii+1).XY());
pntcen3(ii+1) = cirsol(ii+1).Location();
pararg1(ii+1)=ElCLib::Parameter(C1,pnttg1sol(ii+1));
par1sol(ii+1)=ElCLib::Parameter(cirsol(ii+1),pnttg1sol(ii+1));
parcen3(ii+1)=ElCLib::Parameter(OnCirc,pntcen3(ii+1));
ii++;
}
}
}
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