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|
// File GccAna_Lin2d2Tan.cxx, REG 08/07/91
//=========================================================================
// Droite tangente a deux cercles ou tangente a un cercle et passant +
// par un point. +
//=========================================================================
#include <GccAna_Lin2d2Tan.ixx>
#include <ElCLib.hxx>
#include <gp_XY.hxx>
#include <gp_Dir2d.hxx>
#include <gp_Vec2d.hxx>
#include <gp_Circ2d.hxx>
#include <Standard_OutOfRange.hxx>
#include <StdFail_NotDone.hxx>
#include <GccEnt_BadQualifier.hxx>
//=========================================================================
// Droite passant par deux points. +
// =============================== +
//=========================================================================
GccAna_Lin2d2Tan::
GccAna_Lin2d2Tan (const gp_Pnt2d& ThePoint1,
const gp_Pnt2d& ThePoint2 ,
const Standard_Real Tolerance ):
linsol(1,1),
qualifier1(1,1),
qualifier2(1,1) ,
pnttg1sol(1,1),
pnttg2sol(1,1),
par1sol(1,1),
par2sol(1,1),
pararg1(1,1),
pararg2(1,1)
{
Standard_Real Tol = Abs(Tolerance);
WellDone = Standard_False;
NbrSol = 0;
Standard_Real dist = ThePoint1.Distance(ThePoint2);
qualifier1(1) = GccEnt_noqualifier;
qualifier2(1) = GccEnt_noqualifier;
if (dist >= Tol) {
gp_Dir2d dir(ThePoint2.X()-ThePoint1.X(),ThePoint2.Y()-ThePoint1.Y());
linsol(1) = gp_Lin2d(ThePoint1,dir);
// ===================================
WellDone = Standard_True;
NbrSol = 1;
pnttg1sol(1) = ThePoint1;
pnttg2sol(1) = ThePoint2;
par1sol(NbrSol)=ElCLib::Parameter(linsol(NbrSol),pnttg1sol(NbrSol));
par2sol(NbrSol)=ElCLib::Parameter(linsol(NbrSol),pnttg2sol(NbrSol));
pararg1(1) = 0.0;
pararg2(1) = 0.0;
}
}
//=========================================================================
// Droite tangente a un cercle passant par un point. +
// ================================================= +
// Suivant le qualifieur attache au cercle Qualified1 (C1) on definit +
// la direction de la tangente a calculer. +
// Cette tangente aura comme point d attache le point P1 (point de tan- +
// gence avec le cercle. +
// Elle fera un angle A (de sinus R1/dist ou -R1/dist) avec la droite +
// passant par le centre du cercle et ThePoint. +
//=========================================================================
GccAna_Lin2d2Tan::
GccAna_Lin2d2Tan (const GccEnt_QualifiedCirc& Qualified1,
const gp_Pnt2d& ThePoint ,
const Standard_Real Tolerance ):
linsol(1,2),
qualifier1(1,2),
qualifier2(1,2),
pnttg1sol(1,2),
pnttg2sol(1,2),
par1sol(1,2),
par2sol(1,2),
pararg1(1,2),
pararg2(1,2)
{
Standard_Real Tol = Abs(Tolerance);
WellDone = Standard_False;
NbrSol = 0;
if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
GccEnt_BadQualifier::Raise();
return;
}
gp_Circ2d C1 = Qualified1.Qualified();
Standard_Real R1 = C1.Radius();
if (Qualified1.IsEnclosed()) { GccEnt_BadQualifier::Raise(); }
// ============================
else if (Tol < R1-ThePoint.Distance(C1.Location())) {
WellDone = Standard_True;
}
else if (Abs(ThePoint.Distance(C1.Location())-R1) <= Tol) {
gp_Dir2d dir(gp_Vec2d(C1.Location(),ThePoint));
linsol(1) = gp_Lin2d(ThePoint,gp_Dir2d(Standard_Real(-dir.Y()),
Standard_Real(dir.X())));
// =====================================================================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = GccEnt_noqualifier;
WellDone = Standard_True;
NbrSol = 1;
pnttg1sol(1) = ThePoint;
pnttg2sol(1) = ThePoint;
}
else {
Standard_Real signe = 1;
Standard_Real dist = ThePoint.Distance(C1.Location());
Standard_Real d = dist - Sqrt(dist*dist - R1*R1);
if (Qualified1.IsEnclosing()) {
// =============================
signe = 1;
NbrSol = 1;
}
else if (Qualified1.IsOutside()) {
signe = -1;
NbrSol = 1;
}
else if (Qualified1.IsUnqualified()) {
// ====================================
signe = 1;
NbrSol = 2;
}
for (Standard_Integer i = 1 ; i <= NbrSol ; i++) {
gp_Pnt2d P1(C1.Location().Rotated(ThePoint,ASin(signe*R1/dist)));
gp_Dir2d D1(gp_Vec2d(P1,ThePoint));
P1=gp_Pnt2d(P1.XY() + d*D1.XY());
linsol(i) = gp_Lin2d(P1,gp_Dir2d(gp_Vec2d(P1,ThePoint)));
// ========================================================
qualifier1(i) = Qualified1.Qualifier();
qualifier2(i) = GccEnt_noqualifier;
pnttg1sol(i) = P1;
pnttg2sol(i) = ThePoint;
signe = -signe;
}
WellDone = Standard_True;
}
for (Standard_Integer i = 1 ; i <= NbrSol ; i++) {
par1sol(i)=ElCLib::Parameter(linsol(i),pnttg1sol(i));
par2sol(i)=ElCLib::Parameter(linsol(i),pnttg2sol(i));
pararg1(i)=ElCLib::Parameter(C1,pnttg1sol(i));
pararg2(i) = 0.;
}
}
//=========================================================================
// Droite tangente a deux cercles. +
// =============================== +
// Dans le cas limite (les deux cercles tangents interieurs l un a +
// l autre) on prend la droite orthogonale a la droite reliant les deux +
// cercles. +
// Dans les autres cas on fait subir au centre de C1 (Qualified1) ou de +
// C2 (Qualified2), suivant que R1 est plus grand ou non que R2, une +
// rotation d angle A avec sinus(A) = (R1+R2)/dist ou +
// sinus(A) = (R1-R2)/dist ou +
// sinus(A) = (R2-R1)/dist ou +
// sinus(A) = (-R1-R2)/dist +
// Le point ainsi determine est P1 ou P2. +
// la direction de la droite a calculer est celle de la droite passant +
// par le centre de la rotation (centre de C1 ou de C2) et P1 ou P2. +
// On translate ensuite la droite pour la rendre tangente a C1. +
//=========================================================================
GccAna_Lin2d2Tan::
GccAna_Lin2d2Tan (const GccEnt_QualifiedCirc& Qualified1,
const GccEnt_QualifiedCirc& Qualified2,
const Standard_Real Tolerance ):
linsol(1,4),
qualifier1(1,4),
qualifier2(1,4) ,
pnttg1sol(1,4),
pnttg2sol(1,4),
par1sol(1,4),
par2sol(1,4),
pararg1(1,4),
pararg2(1,4)
{
Standard_Real Tol = Abs(Tolerance);
WellDone = Standard_False;
NbrSol = 0;
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();
if (Qualified1.IsEnclosed() || Qualified2.IsEnclosed()) {
// =======================================================
GccEnt_BadQualifier::Raise();
}
else {
Standard_Real R1 = C1.Radius();
Standard_Real R2 = C2.Radius();
gp_Dir2d D1;
Standard_Integer signe = 1;
Standard_Real dist = C1.Location().Distance(C2.Location());
if (Tol < Max(R1,R2)-dist-Min(R1,R2) ) { WellDone = Standard_True; }
else if (!Qualified1.IsUnqualified() || !Qualified2.IsUnqualified()) {
// ====================================================================
if (Qualified1.IsEnclosing() && Qualified2.IsEnclosing()) {
// =========================================================
if (Abs(dist+Min(R1,R2)-Max(R1,R2)) <= Tol && dist >= Tol) {
if (R1<R2) { D1 = gp_Dir2d(gp_Vec2d(C2.Location(),C1.Location()));}
else { D1 = gp_Dir2d(gp_Vec2d(C1.Location(),C2.Location())); }
gp_Pnt2d P1(C1.Location().XY()+R1*D1.XY());
linsol(1) = gp_Lin2d(P1,gp_Dir2d(-D1.Y(),D1.X()));
// =================================================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified2.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = P1;
WellDone = Standard_True;
NbrSol = 1;
}
else {
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin((R1-R2)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1=gp_Pnt2d((C1.Location().XY()+gp_XY(R1*D1.Y(),-R1*D1.X())));
linsol(1) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = gp_Pnt2d(C2.Location().XY()+
gp_XY(R2*D1.Y(),-R2*D1.X()));
WellDone = Standard_True;
NbrSol = 1;
}
}
else if ((Qualified1.IsEnclosing() && Qualified2.IsOutside()) ||
// ================================================================
(Qualified2.IsEnclosing() && Qualified1.IsOutside())) {
// =====================================================
if (Qualified1.IsEnclosing() && Qualified2.IsOutside()) {
signe = 1;
}
else {
signe = -1;
}
if (R1+R2-dist > Tol) { WellDone = Standard_True; }
else if (Abs(dist-R1-R2)<Tol && dist>Tol) {
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),C2.Location()));
gp_Pnt2d P1(C1.Location().XY()+R1*D1.XY());
linsol(1) = gp_Lin2d(P1,gp_Dir2d(-D1.Y(),D1.X()));
// =================================================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = P1;
WellDone = Standard_True;
NbrSol = 1;
}
else {
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin(signe*(R1+R2)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1=gp_Pnt2d(C1.Location().XY()+signe*(gp_XY(R1*D1.Y(),
-R1*D1.X())));
linsol(1) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(-R2*D1.Y(),R2*D1.X())));
WellDone = Standard_True;
NbrSol = 1;
}
}
else if (Qualified1.IsOutside() && Qualified2.IsOutside()) {
// =========================================================
if (Abs(dist+Min(R1,R2)-Max(R1,R2)) < Tol && dist > Tol) {
if (R1<R2) { D1 = gp_Dir2d(gp_Vec2d(C2.Location(),C1.Location()));}
else { D1 = gp_Dir2d(gp_Vec2d(C1.Location(),C2.Location())); }
linsol(1) = gp_Lin2d(gp_Pnt2d(C1.Location().XY()+R1*D1.XY()),
// =============================================================
gp_Dir2d(D1.Y(),-D1.X()));
// =========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = gp_Pnt2d(C1.Location().XY()+R1*D1.XY());
pnttg2sol(1) = pnttg1sol(1);
WellDone = Standard_True;
NbrSol = 1;
}
else {
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin((R2-R1)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1 = gp_Pnt2d(C1.Location().XY()+gp_XY(-R1*D1.Y(),R1*D1.X()));
linsol(1) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = gp_Pnt2d(C2.Location().XY()+
(gp_XY(-R2*D1.Y(),R2*D1.X())));
WellDone = Standard_True;
NbrSol = 1;
}
}
else {
if ((Qualified1.IsUnqualified() && Qualified2.IsEnclosing()) ||
// ===============================================================
(Qualified2.IsUnqualified() && Qualified1.IsEnclosing())) {
// =========================================================
if (Qualified2.IsUnqualified()) { signe = 1; }
else { signe = -1; }
if (Abs(dist+Min(R1,R2)-Max(R1,R2)) < Tol && dist > Tol) {
if (R1<R2) { D1=gp_Dir2d(gp_Vec2d(C2.Location(),C1.Location()));}
else { D1 = gp_Dir2d(gp_Vec2d(C1.Location(),C2.Location())); }
linsol(1) = gp_Lin2d(gp_Pnt2d(C1.Location().XY()+R1*D1.XY()),
// =============================================================
gp_Dir2d(-D1.Y(),D1.X()));
// =========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = gp_Pnt2d(C1.Location().XY()+R1*D1.XY());
pnttg2sol(1) = pnttg1sol(1);
WellDone = Standard_True;
NbrSol = 1;
}
else {
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin((R1-R2)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1 = gp_Pnt2d(C1.Location().XY()+gp_XY(R1*D1.Y(),-R1*D1.X()));
linsol(1) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(R2*D1.Y(),-R2*D1.X())));
WellDone = Standard_True;
NbrSol = 1;
if (Min(R1,R2)+Max(R1,R2)<dist) {
gp_Pnt2d P2(C2.Location().Rotated(C1.Location(),
ASin(signe*(R1+R2)/dist)));
gp_Dir2d D2(gp_Vec2d(C1.Location(),P2));
P2=gp_Pnt2d(C1.Location().XY()+
signe*(gp_XY(R1*D2.Y(),-R1*D2.X())));
linsol(2) = gp_Lin2d(P2,D2);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(2) = P1;
pnttg2sol(2) = gp_Pnt2d(C2.Location().XY()+
(gp_XY(-R2*D2.Y(),R2*D2.X())));
NbrSol = 2;
}
}
}
else if ((Qualified1.IsUnqualified() && Qualified2.IsOutside()) ||
// ==================================================================
(Qualified2.IsUnqualified() && Qualified1.IsOutside())) {
// =======================================================
if (Qualified2.IsUnqualified()) { signe = 1; }
else { signe = -1; }
if (Abs(dist+Min(R1,R2)-Max(R1,R2)) <= Tol && dist >= Tol) {
if (R1<R2) { D1=gp_Dir2d(gp_Vec2d(C2.Location(),C1.Location()));}
else { D1 = gp_Dir2d(gp_Vec2d(C1.Location(),C2.Location())); }
linsol(1) = gp_Lin2d(gp_Pnt2d(C1.Location().XY()+R1*D1.XY()),
// =============================================================
gp_Dir2d(D1.Y(),-D1.X()));
// =========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = gp_Pnt2d(C1.Location().XY()+R1*D1.XY());
pnttg2sol(1) = pnttg1sol(1);
WellDone = Standard_True;
NbrSol = 1;
}
else {
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin(signe*(R2-R1)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1 = gp_Pnt2d(C1.Location().XY()+gp_XY(-R1*D1.Y(),R1*D1.X()));
linsol(1) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(1) = P1;
pnttg2sol(1) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(-R2*D1.Y(),R2*D1.X())));
WellDone = Standard_True;
NbrSol = 1;
if (Min(R1,R2)+Max(R1,R2)<dist) {
gp_Pnt2d P2(C2.Location().Rotated(C1.Location(),
ASin(signe*(-R2-R1)/dist)));
gp_Dir2d D2(gp_Vec2d(C1.Location(),P2));
P2=gp_Pnt2d(C1.Location().XY()+
signe*(gp_XY(-R1*D2.Y(),R1*D2.X())));
linsol(2) = gp_Lin2d(P2,D2);
// ===========================
qualifier1(1) = Qualified1.Qualifier();
qualifier2(1) = Qualified1.Qualifier();
pnttg1sol(2) = P2;
pnttg2sol(2) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(R2*D2.Y(),-R2*D2.X())));
NbrSol = 2;
}
}
}
}
}
else {
for (Standard_Integer i = 1 ; i <= 2 ; i++) {
signe = -signe;
NbrSol++;
gp_Pnt2d P1(C2.Location().Rotated(C1.Location(),
ASin(signe*(R2-R1)/dist)));
D1 = gp_Dir2d(gp_Vec2d(C1.Location(),P1));
P1 = gp_Pnt2d(C1.Location().XY()+signe*gp_XY(-R1*D1.Y(),R1*D1.X()));
linsol(NbrSol) = gp_Lin2d(P1,D1);
// ===========================
qualifier1(NbrSol) = Qualified1.Qualifier();
qualifier2(NbrSol) = Qualified1.Qualifier();
pnttg1sol(NbrSol) = P1;
pnttg2sol(NbrSol) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(-R2*D1.Y(),R2*D1.X())));
WellDone = Standard_True;
if (Min(R1,R2)+Max(R1,R2)<dist) {
gp_Pnt2d P2(C2.Location().Rotated(C1.Location(),
ASin(signe*(R2+R1)/dist)));
gp_Dir2d D2(gp_Vec2d(C1.Location(),P2));
P2=gp_Pnt2d(C1.Location().XY()+
signe*(gp_XY(R1*D2.Y(),-R1*D2.X())));
NbrSol++;
linsol(NbrSol) = gp_Lin2d(P2,D2);
// ================================
qualifier1(NbrSol) = Qualified1.Qualifier();
qualifier2(NbrSol) = Qualified1.Qualifier();
pnttg1sol(NbrSol) = P2;
pnttg2sol(NbrSol) = gp_Pnt2d(C2.Location().XY()+
signe*(gp_XY(-R2*D2.Y(),R2*D2.X())));
}
}
}
}
for (Standard_Integer i = 1 ; i <= NbrSol ; i++) {
par1sol(i)=ElCLib::Parameter(linsol(i),pnttg1sol(i));
par2sol(i)=ElCLib::Parameter(linsol(i),pnttg2sol(i));
pararg1(i)=ElCLib::Parameter(C1,pnttg1sol(i));
pararg2(i)=ElCLib::Parameter(C2,pnttg2sol(i));
}
}
Standard_Boolean GccAna_Lin2d2Tan::
IsDone () const { return WellDone; }
Standard_Integer GccAna_Lin2d2Tan::
NbSolutions () const { return NbrSol; }
gp_Lin2d GccAna_Lin2d2Tan::
ThisSolution (const Standard_Integer Index) const {
if (Index > NbrSol || Index <= 0) { Standard_OutOfRange::Raise(); }
return linsol(Index);
}
void GccAna_Lin2d2Tan::
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_Lin2d2Tan::
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 {
ParSol = par1sol(Index);
ParArg = pararg1(Index);
PntSol = gp_Pnt2d(pnttg1sol(Index));
}
}
void GccAna_Lin2d2Tan::
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 {
ParSol = par2sol(Index);
ParArg = pararg2(Index);
PntSol = gp_Pnt2d(pnttg2sol(Index));
}
}
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