1 // Created on: 1991-12-20
2 // Created by: Remi GILET
3 // Copyright (c) 1991-1999 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.
17 //========================================================================
18 // CREATION D UNE LIGNE TANGENTE A DEUX COURBES. +
19 //========================================================================
21 #include <GccEnt_BadQualifier.hxx>
22 #include <GccEnt_QualifiedCirc.hxx>
23 #include <Geom2dGcc_CurveTool.hxx>
24 #include <Geom2dGcc_FunctionTanCirCu.hxx>
25 #include <Geom2dGcc_FunctionTanCuCu.hxx>
26 #include <Geom2dGcc_FunctionTanCuPnt.hxx>
27 #include <Geom2dGcc_Lin2d2TanIter.hxx>
28 #include <Geom2dGcc_QCurve.hxx>
29 #include <gp_Circ2d.hxx>
30 #include <gp_Dir2d.hxx>
31 #include <gp_Lin2d.hxx>
32 #include <gp_Pnt2d.hxx>
33 #include <gp_Vec2d.hxx>
35 #include <math_FunctionRoot.hxx>
36 #include <math_FunctionSetRoot.hxx>
37 #include <math_Matrix.hxx>
38 #include <math_Vector.hxx>
39 #include <StdFail_NotDone.hxx>
41 Geom2dGcc_Lin2d2TanIter::
42 Geom2dGcc_Lin2d2TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
43 const Geom2dGcc_QCurve& Qualified2 ,
44 const Standard_Real Param2 ,
45 const Standard_Real Tolang ) {
50 //Standard_Real Tol = Abs(Tolang);
52 WellDone = Standard_False;
53 if (Qualified1.IsEnclosed()) { throw GccEnt_BadQualifier(); }
54 gp_Circ2d C1 = Qualified1.Qualified();
55 Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
56 Standard_Real U1 = Geom2dGcc_CurveTool::FirstParameter(Cu2);
57 Standard_Real U2 = Geom2dGcc_CurveTool::LastParameter(Cu2);
58 Geom2dGcc_FunctionTanCirCu func(C1,Cu2);
59 math_FunctionRoot sol(func,Param2,Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolang)),U1,U2,100);
61 Standard_Real Usol = sol.Root();
62 // gp_Pnt2d Origine,Pt;
63 // Modified by Sergey KHROMOV - Thu Apr 5 17:39:47 2001 Begin
65 func.Value(Usol, Norm);
66 if (Abs(Norm) < Tolang) {
67 // Modified by Sergey KHROMOV - Thu Apr 5 17:39:48 2001 End
71 Geom2dGcc_CurveTool::D2(Cu2,Usol,Origine,Vect1,Vect2);
72 gp_Vec2d Vdir(C1.Location().XY() - Origine.XY());
73 Standard_Real sign1 = Vect1.Dot(Vdir);
74 if (sign1 <= 0. ) { Vect1.Reverse(); }
75 Standard_Real sign2 = Vect2.Crossed(Vect1);
76 if (Qualified2.IsUnqualified() ||
77 (Qualified2.IsEnclosing() && sign2<=0.) ||
78 (Qualified2.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
79 (Qualified2.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
80 if (Qualified1.IsUnqualified() ||
81 (Qualified1.IsOutside() && Vect1.Angle(Vdir) <= 0.) ||
82 (Qualified1.IsEnclosing() && Vect1.Angle(Vdir) >= 0.)) {
83 gp_Dir2d direc(Vect1);
84 Standard_Real R1 = C1.Radius();
85 gp_XY normal(-R1*direc.Y(),R1*direc.X());
86 sign1 = Vect1.Crossed(Vdir);
87 if (Qualified1.IsEnclosing()) {
88 pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
90 else if (Qualified1.IsOutside()) {
91 pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
95 pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
98 pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
101 // if (gp_Vec2d(direc.XY()).Angle(gp_Vec2d(pnttg1sol,Origine)) <= Tol) {
103 linsol = gp_Lin2d(pnttg1sol,direc);
104 WellDone = Standard_True;
105 qualifier1 = Qualified1.Qualifier();
106 qualifier2 = Qualified2.Qualifier();
109 par2sol = pnttg2sol.Distance(pnttg1sol);
117 Geom2dGcc_Lin2d2TanIter::
118 Geom2dGcc_Lin2d2TanIter (const Geom2dGcc_QCurve& Qualified1 ,
119 const Geom2dGcc_QCurve& Qualified2 ,
120 const Standard_Real Param1 ,
121 const Standard_Real Param2 ,
122 const Standard_Real Tolang ) {
125 WellDone = Standard_False;
126 if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
127 Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
128 !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
129 Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
130 throw GccEnt_BadQualifier();
133 Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
134 Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
135 Geom2dGcc_FunctionTanCuCu Func(Cu1,Cu2);
136 math_Vector Umin(1,2);
137 math_Vector Umax(1,2);
138 math_Vector Ufirst(1,2);
139 math_Vector tol(1,2);
140 Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
141 Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
142 Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
143 Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
146 tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolang));
147 tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolang));
148 math_FunctionSetRoot Root(Func, tol);
149 Root.Perform(Func, Ufirst, Umin, Umax);
152 // Modified by Sergey KHROMOV - Thu Apr 5 17:45:00 2001 Begin
153 math_Vector Norm(1,2);
154 Func.Value(Ufirst, Norm);
155 if (Abs(Norm(1)) < Tolang && Abs(Norm(2)) < Tolang) {
156 // Modified by Sergey KHROMOV - Thu Apr 5 17:45:01 2001 End
157 gp_Pnt2d point1,point2;
158 gp_Vec2d Vect11,Vect12,Vect21,Vect22;
159 Geom2dGcc_CurveTool::D2(Cu1,Ufirst(1),point1,Vect11,Vect12);
160 Geom2dGcc_CurveTool::D2(Cu2,Ufirst(2),point2,Vect21,Vect22);
161 gp_Vec2d Vec(point1.XY(),point2.XY());
162 Standard_Real Angle1 = Vec.Angle(Vect12);
163 Standard_Real sign1 = Vect11.Dot(Vec);
164 if (Qualified1.IsUnqualified() ||
165 (Qualified1.IsEnclosing() && Angle1 >= 0.) ||
166 (Qualified1.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
167 (Qualified1.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
168 Angle1 = Vec.Angle(Vect22);
169 sign1 = Vect21.Dot(Vec);
170 if (Qualified2.IsUnqualified() ||
171 (Qualified2.IsEnclosing() && Angle1 >= 0.) ||
172 (Qualified2.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
173 (Qualified2.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
174 qualifier1 = Qualified1.Qualifier();
175 qualifier2 = Qualified2.Qualifier();
181 par2sol = pnttg2sol.Distance(pnttg1sol);
182 gp_Dir2d dir(pnttg2sol.X()-pnttg1sol.X(),pnttg2sol.Y()-pnttg1sol.Y());
183 linsol = gp_Lin2d(pnttg1sol,dir);
184 WellDone = Standard_True;
191 Geom2dGcc_Lin2d2TanIter::
192 Geom2dGcc_Lin2d2TanIter (const Geom2dGcc_QCurve& Qualified1 ,
193 const gp_Pnt2d& ThePoint ,
194 const Standard_Real Param1 ,
195 const Standard_Real Tolang ) {
199 WellDone = Standard_False;
200 if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
201 Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
202 throw GccEnt_BadQualifier();
205 Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
206 Standard_Real U1 = Geom2dGcc_CurveTool::FirstParameter(Cu1);
207 Standard_Real U2 = Geom2dGcc_CurveTool::LastParameter(Cu1);
208 Geom2dGcc_FunctionTanCuPnt func(Cu1,ThePoint);
209 math_FunctionRoot sol(func,Param1,Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolang)),U1,U2,100);
211 Standard_Real Usol = sol.Root();
212 // Modified by Sergey KHROMOV - Thu Apr 5 17:45:17 2001 Begin
214 func.Value(Usol, Norm);
215 if (Abs(Norm) < Tolang) {
216 // Modified by Sergey KHROMOV - Thu Apr 5 17:45:19 2001 End
220 Geom2dGcc_CurveTool::D2(Cu1,Usol,Origine,Vect1,Vect2);
221 gp_Vec2d Vdir(ThePoint.XY()-Origine.XY());
222 Standard_Real sign1 = Vect1.Dot(Vdir);
223 Standard_Real sign2 = Vect2.Crossed(Vdir);
224 if (Qualified1.IsUnqualified() ||
225 (Qualified1.IsEnclosing() &&
226 ((sign1 >= 0. && sign2 <= 0.) || (sign1 <= 0. && sign2 <= 0.))) ||
227 (Qualified1.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
228 (Qualified1.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
229 WellDone = Standard_True;
230 linsol = gp_Lin2d(Origine,gp_Dir2d(Vdir));
231 qualifier1 = Qualified1.Qualifier();
232 qualifier2 = GccEnt_noqualifier;
234 pnttg2sol = ThePoint;
237 pararg2 = ThePoint.Distance(Origine);
244 Standard_Boolean Geom2dGcc_Lin2d2TanIter::
245 IsDone () const { return WellDone; }
247 gp_Lin2d Geom2dGcc_Lin2d2TanIter::
248 ThisSolution () const
250 if (!WellDone) throw StdFail_NotDone();
254 void Geom2dGcc_Lin2d2TanIter::
255 WhichQualifier (GccEnt_Position& Qualif1 ,
256 GccEnt_Position& Qualif2 ) const
258 if (!WellDone) { throw StdFail_NotDone(); }
260 Qualif1 = qualifier1;
261 Qualif2 = qualifier2;
265 void Geom2dGcc_Lin2d2TanIter::
266 Tangency1 (Standard_Real& ParSol ,
267 Standard_Real& ParArg ,
268 gp_Pnt2d& Pnt) const {
269 if (!WellDone) { throw StdFail_NotDone(); }
277 void Geom2dGcc_Lin2d2TanIter::
278 Tangency2 (Standard_Real& ParSol ,
279 Standard_Real& ParArg ,
280 gp_Pnt2d& Pnt) const {
281 if (!WellDone) { throw StdFail_NotDone(); }