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// file GccAna_Circ2dTanOnRad.cxx, REG 08/07/91
// PRO12736 : bug quand OnLine // Ox, JCT 20/03/98
//========================================================================
// circulaire tangent a un element de type : - Cercle. +
// - Ligne. +
// - Point. +
// centre sur un deuxieme element de type : - Cercle. +
// - Ligne. +
// de rayon donne : Radius. +
//========================================================================
#include <GccAna_Circ2dTanOnRad.ixx>
#include <ElCLib.hxx>
#include <math_DirectPolynomialRoots.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <Standard_NegativeValue.hxx>
#include <gp_Dir2d.hxx>
#include <Standard_OutOfRange.hxx>
#include <StdFail_NotDone.hxx>
#include <GccEnt_BadQualifier.hxx>
typedef math_DirectPolynomialRoots Roots;
//=========================================================================
// Cercle tangent : a un cercle Qualified1 (C1). +
// centre : sur une droite OnLine. +
// de rayon : Radius. +
// +
// On initialise le tableau de solutions cirsol ainsi que tous les +
// champs. +
// On elimine en fonction du qualifieur les cas ne presentant pas de +
// solutions. +
// On resoud l equation du second degre indiquant que le point de centre +
// recherche (xc,yc) est a une distance Radius du cercle C1 et +
// sur la droite OnLine. +
// Les solutions sont representees par les cercles : +
// - de centre Pntcen(xc,yc) +
// - de rayon Radius. +
//=========================================================================
GccAna_Circ2dTanOnRad::
GccAna_Circ2dTanOnRad (const GccEnt_QualifiedCirc& Qualified1,
const gp_Lin2d& OnLine ,
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);
WellDone = Standard_False;
NbrSol = 0;
if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
GccEnt_BadQualifier::Raise();
return;
}
TColStd_Array1OfReal Coef(1,2);
gp_Circ2d C1 = Qualified1.Qualified();
if (Radius < 0.0) { Standard_NegativeValue::Raise(); }
else {
Standard_Integer nbsol = 0;
Standard_Integer signe = 0;
gp_Pnt2d Center;
Standard_Real xc;
Standard_Real yc;
Standard_Real R1 = C1.Radius();
Standard_Real dist = OnLine.Distance(C1.Location());
Standard_Real xdir = (OnLine.Direction()).X();
Standard_Real ydir = (OnLine.Direction()).Y();
Standard_Real lxloc = (OnLine.Location()).X();
Standard_Real lyloc = (OnLine.Location()).Y();
gp_Pnt2d center1(C1.Location());
Standard_Real x1 = center1.X();
Standard_Real y1 = center1.Y();
if (Qualified1.IsEnclosed()) {
// ============================
if (Tol < Radius-R1+dist) { WellDone = Standard_True; }
else {
if (Abs(Radius-R1+dist) < Tol) {
WellDone = Standard_True;
NbrSol = 1;
if (-ydir*(x1-lxloc)+xdir*(y1-lyloc)<0.0) {
Center = gp_Pnt2d(x1-ydir*dist,y1+xdir*dist);
}
else { Center = gp_Pnt2d(x1+ydir*dist,y1-xdir*dist); }
signe = 1;
}
else {
Coef(1) = (R1-Radius)*(R1-Radius);
nbsol = 1;
}
}
}
else if (Qualified1.IsEnclosing()) {
// ==================================
if (R1+dist-Radius > Tol) { WellDone = Standard_True; }
else {
if (R1+dist-Radius > 0.0) {
WellDone = Standard_True;
NbrSol = 1;
if (-ydir*(x1-lxloc)+xdir*(y1-lyloc)<0.0) {
Center = gp_Pnt2d(x1-ydir*dist,y1+xdir*dist);
}
else { Center = gp_Pnt2d(x1+ydir*dist,y1-xdir*dist); }
signe = -1;
}
else {
Coef(1) = (Radius-R1)*(Radius-R1);
nbsol = 1;
}
}
}
else {
// ====
if (dist-R1-Radius > Tol) { WellDone = Standard_False; }
else {
if (Abs(dist-R1-Radius) < Tol) {
WellDone = Standard_True;
NbrSol = 1;
if (-ydir*(x1-lxloc)+xdir*(y1-lyloc)<0.0) {
Center = gp_Pnt2d(x1-ydir*dist,y1+xdir*dist);
}
else { Center = gp_Pnt2d(x1+ydir*dist,y1-xdir*dist); }
signe = -1;
}
else {
if (Qualified1.IsOutside()) {
// ===========================
Coef(1) = (Radius+R1)*(Radius+R1);
nbsol = 1;
}
else {
// ====
Coef(1) = (Radius-R1)*(Radius-R1);
Coef(2) = (Radius+R1)*(Radius+R1);
nbsol = 2;
}
}
}
}
if (signe != 0) {
cirsol(1) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius);
// ==================================================
Standard_Real distcc1 = Center.Distance(center1);
if (!Qualified1.IsUnqualified()) {
qualifier1(1) = Qualified1.Qualifier();
}
else if (Abs(distcc1+Radius-R1) < Tol) {
qualifier1(1) = GccEnt_enclosed;
}
else if (Abs(distcc1-R1-Radius) < Tol) {
qualifier1(1) = GccEnt_outside;
}
else { qualifier1(1) = GccEnt_enclosing; }
if (Abs(Radius-R1) <= Tol) { TheSame1(1) = 1; }
else {
gp_Dir2d dir1cen(Center.X()-x1,Center.Y()-y1);
pnttg1sol(1) = gp_Pnt2d(Center.XY()+signe*Radius*dir1cen.XY());
par1sol(1)=ElCLib::Parameter(cirsol(1),pnttg1sol(1));
pararg1(1)=ElCLib::Parameter(C1,pnttg1sol(1));
}
pntcen3(1) = cirsol(NbrSol).Location();
parcen3(1)=ElCLib::Parameter(OnLine,pntcen3(1));
}
else if (nbsol > 0) {
for (Standard_Integer j = 1 ; j <= nbsol ; j++) {
Standard_Real A,B,C;
OnLine.Coefficients(A,B,C);
Standard_Real D = A;
Standard_Real x0,y0;
if ( Abs(D) <= Tol ) {
A = B;
B = D;
x0 = y1;
y0 = x1;
}
else{
x0 = x1;
y0 = y1;
}
Roots Sol((B*B+A*A)/(A*A),
2.0*(B*C/(A*A)+(B/A)*x0-y0),
x0*x0+y0*y0+C*C/(A*A)-Coef(j)+2.0*C*x0/A);
if (Sol.IsDone()) {
for (Standard_Integer i = 1 ; i <= Sol.NbSolutions() ; i++) {
if ( Abs(D) > Tol ) {
yc = Sol.Value(i);
xc = -(B/A)*yc-C/A;
}
else {
xc = Sol.Value(i);
yc = -(B/A)*xc-C/A;
}
Center = gp_Pnt2d(xc,yc);
if (OnLine.Distance(Center)>Tol)
continue;
NbrSol++;
cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius);
// =======================================================
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; }
gp_Dir2d dir1cen(Center.X()-x1,Center.Y()-y1);
if ((Radius > R1) || (Center.Distance(center1) > R1)) {
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*dir1cen.XY());
}
else {
pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()-Radius*dir1cen.XY());
}
pntcen3(NbrSol) = cirsol(NbrSol).Location();
par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
pnttg1sol(NbrSol));
pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol));
parcen3(NbrSol)=ElCLib::Parameter(OnLine,pntcen3(NbrSol));
}
WellDone = Standard_True;
}
}
}
}
}
Standard_Boolean GccAna_Circ2dTanOnRad::
IsDone () const { return WellDone; }
Standard_Integer GccAna_Circ2dTanOnRad::
NbSolutions () const { return NbrSol; }
gp_Circ2d GccAna_Circ2dTanOnRad::ThisSolution (const Standard_Integer Index) const
{
if (Index > NbrSol || Index <= 0) {
Standard_OutOfRange::Raise();
}
return cirsol(Index);
}
void GccAna_Circ2dTanOnRad::
WhichQualifier(const Standard_Integer Index ,
GccEnt_Position& Qualif1 ) const
{
if (!WellDone) { StdFail_NotDone::Raise(); }
else if (Index <= 0 ||Index > NbrSol) { Standard_OutOfRange::Raise(); }
else {
Qualif1 = qualifier1(Index);
}
}
void GccAna_Circ2dTanOnRad::
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_Circ2dTanOnRad::
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_Circ2dTanOnRad::IsTheSame1 (const Standard_Integer Index) const
{
if (!WellDone)
StdFail_NotDone::Raise();
if (Index <= 0 ||Index > NbrSol)
Standard_OutOfRange::Raise();
if (TheSame1(Index) == 0)
return Standard_False;
return Standard_True;
}
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