1 // Created on: 1992-01-02
2 // Created by: Remi GILET
3 // Copyright (c) 1992-1999 Matra Datavision
4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
6 // This file is part of Open CASCADE Technology software library.
8 // This library is free software; you can redistribute it and/or modify it under
9 // the terms of the GNU Lesser General Public License version 2.1 as published
10 // by the Free Software Foundation, with special exception defined in the file
11 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
12 // distribution for complete text of the license and disclaimer of any warranty.
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
19 #include <GccAna_Circ2d2TanOn.hxx>
20 #include <GccAna_CircLin2dBisec.hxx>
21 #include <GccEnt_BadQualifier.hxx>
22 #include <GccEnt_QualifiedCirc.hxx>
23 #include <GccEnt_QualifiedLin.hxx>
24 #include <GccInt_BCirc.hxx>
25 #include <GccInt_IType.hxx>
26 #include <gp_Ax2d.hxx>
27 #include <gp_Circ2d.hxx>
28 #include <gp_Dir2d.hxx>
29 #include <gp_Lin2d.hxx>
30 #include <gp_Pnt2d.hxx>
31 #include <IntAna2d_AnaIntersection.hxx>
32 #include <IntAna2d_Conic.hxx>
33 #include <IntAna2d_IntPoint.hxx>
34 #include <Standard_OutOfRange.hxx>
35 #include <StdFail_NotDone.hxx>
36 #include <TColStd_Array1OfReal.hxx>
39 GccAna_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 ,
40 const GccEnt_QualifiedLin& Qualified2 ,
41 const gp_Circ2d& OnCirc ,
42 const Standard_Real Tolerance ):
59 WellDone = Standard_False;
61 if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
62 Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
63 !(Qualified2.IsEnclosed() ||
64 Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
65 throw GccEnt_BadQualifier();
68 Standard_Real Radius=0;
70 gp_Circ2d C1 = Qualified1.Qualified();
71 gp_Lin2d L2 = Qualified2.Qualified();
72 Standard_Real R1 = C1.Radius();
73 gp_Pnt2d center1(C1.Location());
74 gp_Pnt2d origin2(L2.Location());
75 gp_Dir2d dirL2(L2.Direction());
76 gp_Dir2d normL2(-dirL2.Y(),dirL2.X());
78 //=========================================================================
79 // Processing of boundary cases. +
80 //=========================================================================
82 Standard_Real Tol = Abs(Tolerance);
83 TColStd_Array1OfReal Rradius(1,2);
84 Standard_Integer nbsol1 = 1;
85 // Standard_Integer nbsol2 = 0;
86 Standard_Real Ron = OnCirc.Radius();
87 Standard_Real distcco = OnCirc.Location().Distance(center1);
88 gp_Dir2d dircc(OnCirc.Location().XY()-center1.XY());
89 gp_Pnt2d pinterm(center1.XY()+(distcco-Ron)*dircc.XY());
90 Standard_Real distpl2 =L2.Distance(pinterm);
91 Standard_Real distcc1 =pinterm.Distance(center1);
92 Standard_Real d1 = Abs(distpl2-Abs(distcc1-R1));
93 Standard_Real d2 = Abs(distpl2-(distcc1+R1));
94 if ( d1 > Tol || d2 > Tol ) {
95 pinterm = gp_Pnt2d(center1.XY()+(distcco-Ron)*dircc.XY());
96 if ( d1 > Tol || d2 > Tol ) {
101 if (Qualified1.IsEnclosed() || Qualified1.IsOutside()) {
103 Rradius(1) = Abs(distcc1-R1);
105 else if (Qualified1.IsEnclosing()) {
107 Rradius(1) = R1+distcc1;
109 else if (Qualified1.IsUnqualified()) {
111 Rradius(1) = Abs(distcc1-R1);
112 Rradius(2) = R1+distcc1;
114 gp_Dir2d dirbid(origin2.XY()-pinterm.XY());
115 gp_Dir2d normal(-dirL2.Y(),dirL2.X());
116 if (Qualified1.IsEnclosed() && dirbid.Dot(normal) < 0.) {
119 else if (Qualified1.IsOutside() && dirbid.Dot(normal) < 0.) {
122 for (Standard_Integer i = 1 ; i <= nbsol1 ; i++) {
123 if (Abs(Rradius(i)-distpl2) <= Tol) {
124 WellDone = Standard_True;
126 cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(pinterm,dirx),Rradius(i));
127 // ===========================================================
128 gp_Dir2d dc1(center1.XY()-pinterm.XY());
129 gp_Dir2d dc2(origin2.XY()-pinterm.XY());
130 distcc1 = pinterm.Distance(center1);
131 if (!Qualified1.IsUnqualified()) {
132 qualifier1(NbrSol) = Qualified1.Qualifier();
134 else if (Abs(distcc1+Rradius(i)-R1) < Tol) {
135 qualifier1(NbrSol) = GccEnt_enclosed;
137 else if (Abs(distcc1-R1-Rradius(i)) < Tol) {
138 qualifier1(NbrSol) = GccEnt_outside;
140 else { qualifier1(NbrSol) = GccEnt_enclosing; }
141 if (!Qualified2.IsUnqualified()) {
142 qualifier2(NbrSol) = Qualified2.Qualifier();
144 else if (dc2.Dot(normL2) > 0.0) {
145 qualifier2(NbrSol) = GccEnt_outside;
147 else { qualifier2(NbrSol) = GccEnt_enclosed; }
149 Standard_Real sign = dc2.Dot(gp_Dir2d(-dirL2.Y(),dirL2.X()));
150 dc2 = gp_Dir2d(sign*gp_XY(-dirL2.Y(),dirL2.X()));
151 pnttg1sol(NbrSol) = gp_Pnt2d(pinterm.XY()+Rradius(i)*dc1.XY());
152 pnttg2sol(NbrSol) = gp_Pnt2d(pinterm.XY()+Rradius(i)*dc2.XY());
153 par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),pnttg1sol(NbrSol));
154 pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol));
155 par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),pnttg2sol(NbrSol));
156 pararg2(NbrSol)=ElCLib::Parameter(L2,pnttg2sol(NbrSol));
157 parcen3(NbrSol)=ElCLib::Parameter(OnCirc,pntcen(NbrSol));
160 if (WellDone) { return; }
163 //=========================================================================
165 //=========================================================================
167 GccAna_CircLin2dBisec Bis(C1,L2);
169 Standard_Integer nbsolution = Bis.NbSolutions();
170 for (Standard_Integer i = 1 ; i <= nbsolution; i++) {
171 Handle(GccInt_Bisec) Sol = Bis.ThisSolution(i);
172 GccInt_IType type = Sol->ArcType();
173 IntAna2d_AnaIntersection Intp;
174 if (type == GccInt_Lin) {
175 Intp.Perform(Sol->Line(),OnCirc);
177 else if (type == GccInt_Par) {
178 Intp.Perform(OnCirc,IntAna2d_Conic(Sol->Parabola()));
181 if ((!Intp.IsEmpty())&&(!Intp.ParallelElements())&&
182 (!Intp.IdenticalElements())) {
183 for (Standard_Integer j = 1 ; j <= Intp.NbPoints() ; j++) {
184 gp_Pnt2d Center(Intp.Point(j).Value());
185 Standard_Real dist1 = Center.Distance(center1);
186 Standard_Real dist2 = L2.Distance(Center);
187 // Standard_Integer nbsol = 1;
188 Standard_Boolean ok = Standard_False;
189 if (Qualified1.IsEnclosed()) {
190 if (dist1-R1 < Tolerance) {
191 if (Abs(Abs(R1-dist1)-dist2)<Tolerance) { ok=Standard_True; }
194 else if (Qualified1.IsOutside()) {
195 if (R1-dist1 < Tolerance) {
196 if (Abs(Abs(R1-dist1)-dist2)<Tolerance) { ok=Standard_True; }
199 else if (Qualified1.IsEnclosing() || Qualified1.IsUnqualified()) {
202 if (Qualified2.IsEnclosed() && ok) {
203 if ((((origin2.X()-Center.X())*(-dirL2.Y()))+
204 ((origin2.Y()-Center.Y())*(dirL2.X())))<=0){
209 else if (Qualified2.IsOutside() && ok) {
210 if ((((origin2.X()-Center.X())*(-dirL2.Y()))+
211 ((origin2.Y()-Center.Y())*(dirL2.X())))>=0){
216 else if (Qualified2.IsUnqualified() && ok) {
222 cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius);
223 // =======================================================
224 gp_Dir2d dc2(origin2.XY()-Center.XY());
225 distcc1 = Center.Distance(center1);
226 if (!Qualified1.IsUnqualified()) {
227 qualifier1(NbrSol) = Qualified1.Qualifier();
229 else if (Abs(distcc1+Radius-R1) < Tol) {
230 qualifier1(NbrSol) = GccEnt_enclosed;
232 else if (Abs(distcc1-R1-Radius) < Tol) {
233 qualifier1(NbrSol) = GccEnt_outside;
235 else { qualifier1(NbrSol) = GccEnt_enclosing; }
236 if (!Qualified2.IsUnqualified()) {
237 qualifier2(NbrSol) = Qualified2.Qualifier();
239 else if (dc2.Dot(normL2) > 0.0) {
240 qualifier2(NbrSol) = GccEnt_outside;
242 else { qualifier2(NbrSol) = GccEnt_enclosed; }
243 if (Center.Distance(center1) <= Tolerance &&
244 Abs(Radius-C1.Radius()) <= Tolerance) {
245 TheSame1(NbrSol) = 1;
248 TheSame1(NbrSol) = 0;
249 gp_Dir2d dc1(center1.XY()-Center.XY());
250 pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*dc1.XY());
251 par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
253 pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol));
255 TheSame2(NbrSol) = 0;
256 Standard_Real sign = dc2.Dot(gp_Dir2d(normL2.XY()));
257 dc2 = gp_Dir2d(sign*gp_XY(normL2.XY()));
258 pnttg2sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*dc2.XY());
259 par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),
261 pararg2(NbrSol)=ElCLib::Parameter(L2,pnttg2sol(NbrSol));
262 pntcen(NbrSol) = Center;
263 parcen3(NbrSol)=ElCLib::Parameter(OnCirc,pntcen(NbrSol));
267 WellDone = Standard_True;