| 54e37688 |
1 | // Created on: 1991-12-13 |
| 2 | // Created by: Remi GILET |
| 3 | // Copyright (c) 1991-1999 Matra Datavision |
| 4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
| 5 | // |
| 6 | // This file is part of Open CASCADE Technology software library. |
| 7 | // |
| 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. |
| 13 | // |
| 14 | // Alternatively, this file may be used under the terms of Open CASCADE |
| 15 | // commercial license or contractual agreement. |
| 16 | |
| 17 | //========================================================================= |
| 18 | // Creation d un cercle tangent a deux elements : Droite. + |
| 19 | // Cercle. + |
| 20 | // Point. + |
| 21 | // Courbes. + |
| 22 | // centre sur un troisieme : Droite. + |
| 23 | // Cercle. + |
| 24 | // Courbes. + |
| 25 | //========================================================================= |
| 26 | |
| 42cf5bc1 |
27 | #include <GccAna_Circ2d3Tan.hxx> |
| 28 | #include <GccEnt_BadQualifier.hxx> |
| 29 | #include <GccEnt_QualifiedCirc.hxx> |
| 30 | #include <GccEnt_QualifiedLin.hxx> |
| 31 | #include <Geom2dGcc_Circ2d3TanIter.hxx> |
| 32 | #include <Geom2dGcc_CurveTool.hxx> |
| 33 | #include <Geom2dGcc_FunctionTanCuCuCu.hxx> |
| 34 | #include <Geom2dGcc_QCurve.hxx> |
| 35 | #include <gp.hxx> |
| 54e37688 |
36 | #include <gp_Ax2d.hxx> |
| 42cf5bc1 |
37 | #include <gp_Circ2d.hxx> |
| 38 | #include <gp_Dir2d.hxx> |
| 39 | #include <gp_Pnt2d.hxx> |
| 54e37688 |
40 | #include <gp_Vec2d.hxx> |
| 54e37688 |
41 | #include <math_FunctionSetRoot.hxx> |
| 42 | #include <math_NewtonFunctionSetRoot.hxx> |
| 42cf5bc1 |
43 | #include <StdFail_NotDone.hxx> |
| 54e37688 |
44 | |
| 45 | Geom2dGcc_Circ2d3TanIter:: |
| 46 | Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 , |
| 47 | const Geom2dGcc_QCurve& Qualified2 , |
| 48 | const Geom2dGcc_QCurve& Qualified3 , |
| 49 | const Standard_Real Param1 , |
| 50 | const Standard_Real Param2 , |
| 51 | const Standard_Real Param3 , |
| 52 | const Standard_Real Tolerance ) { |
| 53 | |
| 54 | TheSame1 = Standard_False; |
| 55 | TheSame2 = Standard_False; |
| 56 | TheSame3 = Standard_False; |
| 57 | par1sol = 0.; |
| 58 | par2sol = 0.; |
| 59 | par3sol = 0.; |
| 60 | pararg1 = 0.; |
| 61 | pararg2 = 0.; |
| 62 | pararg3 = 0.; |
| 63 | |
| 64 | Standard_Real Tol = Abs(Tolerance); |
| 65 | WellDone = Standard_False; |
| 66 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 67 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 68 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 69 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 70 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 71 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
72 | throw GccEnt_BadQualifier(); |
| 54e37688 |
73 | return; |
| 74 | } |
| 75 | Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified(); |
| 76 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 77 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 78 | Geom2dGcc_FunctionTanCuCuCu Func(Cu1,Cu2,Cu3); |
| 79 | math_Vector Umin(1,3); |
| 80 | math_Vector Umax(1,3); |
| 81 | math_Vector Ufirst(1,3); |
| 82 | math_Vector tol(1,3); |
| 83 | Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1); |
| 84 | Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 85 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 86 | Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1); |
| 87 | Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 88 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 89 | Ufirst(1) = Param1; |
| 90 | Ufirst(2) = Param2; |
| 91 | Ufirst(3) = Param3; |
| 92 | tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance)); |
| 93 | tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 94 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
95 | math_FunctionSetRoot Root(Func, tol); |
| 96 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
97 | if (Root.IsDone()) { |
| 98 | Root.Root(Ufirst); |
| 99 | Func.Value(Ufirst,Umin); |
| 100 | gp_Pnt2d point1,point2,point3; |
| 101 | gp_Vec2d Tan1,Tan2,Tan3; |
| 102 | Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1); |
| 103 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2); |
| 104 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 105 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 106 | if (circ.IsDone()) { |
| 107 | cirsol = circ.ThisSolution(1); |
| 108 | gp_Pnt2d centre = cirsol.Location(); |
| 109 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 110 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 111 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 112 | gp_Vec2d Vec1(point1,centre); |
| 113 | gp_Vec2d Vec2(point2,centre); |
| 114 | gp_Vec2d Vec3(point3,centre); |
| 115 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 116 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 117 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 118 | Standard_Real dot1,dot2,dot3; |
| 119 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 120 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 121 | } |
| 122 | else { dot1 = 0.; } |
| 123 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 124 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 125 | } |
| 126 | else { dot2 = 0.; } |
| 127 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 128 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 129 | } |
| 130 | else { dot3 = 0.; } |
| 131 | Tol = 1.e-12; |
| 132 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 133 | Standard_Real Angle1 = Vec1.Angle(Tan1); |
| 134 | if (Qualified1.IsUnqualified()|| |
| 135 | (Qualified1.IsEnclosing()&&Angle1<=0.)|| |
| 136 | (Qualified1.IsOutside() && Angle1 >= 0.) || |
| 137 | (Qualified1.IsEnclosed() && Angle1 <= 0.)) { |
| 138 | Angle1 = Vec2.Angle(Tan2); |
| 139 | if (Qualified2.IsUnqualified() || |
| 140 | (Qualified2.IsEnclosing()&&Angle1<=0.)|| |
| 141 | (Qualified2.IsOutside() && Angle1 >= 0) || |
| 142 | (Qualified2.IsEnclosed() && Angle1 <= 0.)) { |
| 143 | Angle1 = Vec3.Angle(Tan3); |
| 144 | if (Qualified3.IsUnqualified() || |
| 145 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 146 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 147 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 148 | qualifier1 = Qualified1.Qualifier(); |
| 149 | qualifier2 = Qualified2.Qualifier(); |
| 150 | qualifier3 = Qualified3.Qualifier(); |
| 151 | pararg1 = Ufirst(1); |
| 152 | par1sol = 0.; |
| 153 | pnttg1sol = point1; |
| 154 | pararg2 = Ufirst(2); |
| 155 | pnttg2sol = point2; |
| 156 | par2sol = pnttg2sol.Distance(pnttg1sol); |
| 157 | pnttg3sol = point3; |
| 158 | pararg3 = Ufirst(3); |
| 159 | par3sol = pnttg3sol.Distance(pnttg1sol); |
| 160 | WellDone = Standard_True; |
| 161 | } |
| 162 | } |
| 163 | } |
| 164 | } |
| 165 | } |
| 166 | } |
| 167 | } |
| 168 | |
| 169 | Geom2dGcc_Circ2d3TanIter:: |
| 170 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 , |
| 171 | const Geom2dGcc_QCurve& Qualified2 , |
| 172 | const Geom2dGcc_QCurve& Qualified3 , |
| 173 | const Standard_Real Param1 , |
| 174 | const Standard_Real Param2 , |
| 175 | const Standard_Real Param3 , |
| 176 | const Standard_Real Tolerance ) { |
| 177 | |
| 178 | TheSame1 = Standard_False; |
| 179 | TheSame2 = Standard_False; |
| 180 | TheSame3 = Standard_False; |
| 181 | par1sol = 0.; |
| 182 | par2sol = 0.; |
| 183 | par3sol = 0.; |
| 184 | pararg1 = 0.; |
| 185 | pararg2 = 0.; |
| 186 | pararg3 = 0.; |
| 187 | |
| 188 | Standard_Real Tol = Abs(Tolerance); |
| 189 | WellDone = Standard_False; |
| 190 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 191 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 192 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 193 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 194 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 195 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
196 | throw GccEnt_BadQualifier(); |
| 54e37688 |
197 | return; |
| 198 | } |
| 199 | gp_Circ2d C1 = Qualified1.Qualified(); |
| 200 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 201 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 202 | Geom2dGcc_FunctionTanCuCuCu Func(C1,Cu2,Cu3); |
| 203 | math_Vector Umin(1,3); |
| 204 | math_Vector Umax(1,3); |
| 205 | math_Vector Ufirst(1,3); |
| 206 | math_Vector tol(1,3); |
| 207 | Umin(1) = 0.; |
| 208 | Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 209 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 210 | Umax(1) = 2*M_PI; |
| 211 | Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 212 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 213 | Ufirst(1) = Param1; |
| 214 | Ufirst(2) = Param2; |
| 215 | Ufirst(3) = Param3; |
| 216 | tol(1) = 2.e-15*M_PI; |
| 217 | tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 218 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
219 | math_FunctionSetRoot Root(Func, tol); |
| 220 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
221 | if (Root.IsDone()) { |
| 222 | Root.Root(Ufirst); |
| 223 | Func.Value(Ufirst,Umin); |
| 224 | gp_Pnt2d centre1(C1.Location()); |
| 225 | Standard_Real R1 = C1.Radius(); |
| 226 | gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1)))); |
| 227 | gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1)))); |
| 228 | gp_Pnt2d point2,point3; |
| 229 | // gp_Vec2d Tan2,Tan3,Nor2,Nor3; |
| 230 | gp_Vec2d Tan2,Tan3; |
| 231 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2); |
| 232 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 233 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 234 | if (circ.IsDone()) { |
| 235 | cirsol = circ.ThisSolution(1); |
| 236 | gp_Pnt2d centre(cirsol.Location()); |
| 237 | Standard_Real dist = centre1.Distance(centre); |
| 238 | Standard_Real Rsol = cirsol.Radius(); |
| 239 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 240 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 241 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 242 | gp_Vec2d Vec1(point1,centre); |
| 243 | gp_Vec2d Vec2(point2,centre); |
| 244 | gp_Vec2d Vec3(point3,centre); |
| 245 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 246 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 247 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 248 | Standard_Real dot1,dot2,dot3; |
| 249 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 250 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 251 | } |
| 252 | else { dot1 = 0.; } |
| 253 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 254 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 255 | } |
| 256 | else { dot2 = 0.; } |
| 257 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 258 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 259 | } |
| 260 | else { dot3 = 0.; } |
| 261 | Tol = 1.e-12; |
| 262 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 263 | if (Qualified1.IsUnqualified() || |
| 264 | (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)|| |
| 265 | (Qualified1.IsOutside() && dist >= Rsol) || |
| 266 | (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) { |
| 267 | Standard_Real Angle1 = Vec2.Angle(Tan2); |
| 268 | if (Qualified2.IsUnqualified() || |
| 269 | (Qualified2.IsEnclosing()&&Angle1<=0.)|| |
| 270 | (Qualified2.IsOutside() && Angle1 >= 0) || |
| 271 | (Qualified2.IsEnclosed() && Angle1 <= 0.)) { |
| 272 | Angle1 = Vec3.Angle(Tan3); |
| 273 | if (Qualified3.IsUnqualified() || |
| 274 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 275 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 276 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 277 | qualifier1 = Qualified1.Qualifier(); |
| 278 | qualifier2 = Qualified2.Qualifier(); |
| 279 | qualifier3 = Qualified3.Qualifier(); |
| 280 | pararg1 = Ufirst(1); |
| 281 | par1sol = 0.; |
| 282 | pnttg1sol = point1; |
| 283 | pararg2 = Ufirst(2); |
| 284 | pnttg2sol = point2; |
| 285 | par2sol = 0.; |
| 286 | pararg3 = Ufirst(3); |
| 287 | pnttg3sol = point3; |
| 288 | par3sol = 0.; |
| 289 | WellDone = Standard_True; |
| 290 | } |
| 291 | } |
| 292 | } |
| 293 | } |
| 294 | } |
| 295 | } |
| 296 | } |
| 297 | |
| 298 | Geom2dGcc_Circ2d3TanIter:: |
| 299 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 , |
| 300 | const GccEnt_QualifiedCirc& Qualified2 , |
| 301 | const Geom2dGcc_QCurve& Qualified3 , |
| 302 | const Standard_Real Param1 , |
| 303 | const Standard_Real Param2 , |
| 304 | const Standard_Real Param3 , |
| 305 | const Standard_Real Tolerance ) { |
| 306 | |
| 307 | TheSame1 = Standard_False; |
| 308 | TheSame2 = Standard_False; |
| 309 | TheSame3 = Standard_False; |
| 310 | par1sol = 0.; |
| 311 | par2sol = 0.; |
| 312 | par3sol = 0.; |
| 313 | pararg1 = 0.; |
| 314 | pararg2 = 0.; |
| 315 | pararg3 = 0.; |
| 316 | |
| 317 | Standard_Real Tol = Abs(Tolerance); |
| 318 | WellDone = Standard_False; |
| 319 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 320 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 321 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 322 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 323 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 324 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
325 | throw GccEnt_BadQualifier(); |
| 54e37688 |
326 | return; |
| 327 | } |
| 328 | gp_Circ2d C1 = Qualified1.Qualified(); |
| 329 | gp_Circ2d C2 = Qualified2.Qualified(); |
| 330 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 331 | Geom2dGcc_FunctionTanCuCuCu Func(C1,C2,Cu3); |
| 332 | math_Vector Umin(1,3); |
| 333 | math_Vector Umax(1,3); |
| 334 | math_Vector Ufirst(1,3); |
| 335 | math_Vector tol(1,3); |
| 336 | Umin(1) = 0.; |
| 337 | Umin(2) = 0.; |
| 338 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 339 | Umax(1) = 2*M_PI; |
| 340 | Umax(2) = 2*M_PI; |
| 341 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 342 | Ufirst(1) = Param1; |
| 343 | Ufirst(2) = Param2; |
| 344 | Ufirst(3) = Param3; |
| 345 | tol(1) = 2.e-15*M_PI; |
| 346 | tol(2) = 2.e-15*M_PI; |
| 347 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
348 | math_FunctionSetRoot Root(Func, tol); |
| 349 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
350 | if (Root.IsDone()) { |
| 351 | Root.Root(Ufirst); |
| 352 | Func.Value(Ufirst,Umin); |
| 353 | gp_Pnt2d centre1(C1.Location()); |
| 354 | Standard_Real R1 = C1.Radius(); |
| 355 | gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1)))); |
| 356 | gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1)))); |
| 357 | gp_Pnt2d centre2(C2.Location()); |
| 358 | Standard_Real R2 = C2.Radius(); |
| 359 | gp_Pnt2d point2(centre2.XY()+R2*gp_XY(Cos(Ufirst(2)),Sin(Ufirst(2)))); |
| 360 | gp_Vec2d Tan2(gp_XY(-Sin(Ufirst(2)),Cos(Ufirst(2)))); |
| 361 | gp_Pnt2d point3; |
| 362 | gp_Vec2d Tan3; |
| 363 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 364 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 365 | if (circ.IsDone()) { |
| 366 | cirsol = circ.ThisSolution(1); |
| 367 | gp_Pnt2d centre(cirsol.Location()); |
| 368 | Standard_Real dist = centre1.Distance(centre); |
| 369 | Standard_Real Rsol = cirsol.Radius(); |
| 370 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 371 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 372 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 373 | gp_Vec2d Vec1(point1,centre); |
| 374 | gp_Vec2d Vec2(point2,centre); |
| 375 | gp_Vec2d Vec3(point3,centre); |
| 376 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 377 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 378 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 379 | Standard_Real dot1,dot2,dot3; |
| 380 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 381 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 382 | } |
| 383 | else { dot1 = 0.; } |
| 384 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 385 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 386 | } |
| 387 | else { dot2 = 0.; } |
| 388 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 389 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 390 | } |
| 391 | else { dot3 = 0.; } |
| 392 | Tol = 1.e-12; |
| 393 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 394 | if (Qualified1.IsUnqualified() || |
| 395 | (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)|| |
| 396 | (Qualified1.IsOutside() && dist >= Rsol) || |
| 397 | (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) { |
| 398 | dist = centre2.Distance(centre); |
| 399 | if (Qualified1.IsUnqualified() || |
| 400 | (Qualified1.IsEnclosing() && Rsol >= R2 && dist <= Rsol)|| |
| 401 | (Qualified1.IsOutside() && dist >= Rsol) || |
| 402 | (Qualified1.IsEnclosed() && Rsol <= R2 && dist <= Rsol)) { |
| 403 | gp_Vec2d Vec(point3,centre); |
| 404 | Standard_Real Angle1 = Vec.Angle(Tan3); |
| 405 | if (Qualified3.IsUnqualified() || |
| 406 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 407 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 408 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 409 | qualifier1 = Qualified1.Qualifier(); |
| 410 | qualifier2 = Qualified2.Qualifier(); |
| 411 | qualifier3 = Qualified3.Qualifier(); |
| 412 | pararg1 = Ufirst(1); |
| 413 | par1sol = 0.; |
| 414 | pnttg1sol = point1; |
| 415 | pararg2 = Ufirst(2); |
| 416 | pnttg2sol = point2; |
| 417 | par2sol = 0.; |
| 418 | pararg3 = Ufirst(3); |
| 419 | pnttg3sol = point3; |
| 420 | par3sol = 0.; |
| 421 | WellDone = Standard_True; |
| 422 | } |
| 423 | } |
| 424 | } |
| 425 | } |
| 426 | } |
| 427 | } |
| 428 | } |
| 429 | |
| 430 | Geom2dGcc_Circ2d3TanIter:: |
| 431 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 , |
| 432 | const Geom2dGcc_QCurve& Qualified2 , |
| 433 | const Geom2dGcc_QCurve& Qualified3 , |
| 434 | const Standard_Real Param1 , |
| 435 | const Standard_Real Param2 , |
| 436 | const Standard_Real Param3 , |
| 437 | const Standard_Real Tolerance ) { |
| 438 | |
| 439 | TheSame1 = Standard_False; |
| 440 | TheSame2 = Standard_False; |
| 441 | TheSame3 = Standard_False; |
| 442 | par1sol = 0.; |
| 443 | par2sol = 0.; |
| 444 | par3sol = 0.; |
| 445 | pararg1 = 0.; |
| 446 | pararg2 = 0.; |
| 447 | pararg3 = 0.; |
| 448 | |
| 449 | Standard_Real Tol = Abs(Tolerance); |
| 450 | WellDone = Standard_False; |
| 451 | if (!(Qualified1.IsEnclosed() || |
| 452 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 453 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 454 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 455 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 456 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
457 | throw GccEnt_BadQualifier(); |
| 54e37688 |
458 | return; |
| 459 | } |
| 460 | gp_Lin2d L1 = Qualified1.Qualified(); |
| 461 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 462 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 463 | Geom2dGcc_FunctionTanCuCuCu Func(L1,Cu2,Cu3); |
| 464 | math_Vector Umin(1,3); |
| 465 | math_Vector Umax(1,3); |
| 466 | math_Vector Ufirst(1,3); |
| 467 | math_Vector tol(1,3); |
| 468 | Umin(1) = RealFirst(); |
| 469 | Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 470 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 471 | Umax(1) = RealLast(); |
| 472 | Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 473 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 474 | Ufirst(1) = Param1; |
| 475 | Ufirst(2) = Param2; |
| 476 | Ufirst(3) = Param3; |
| 477 | tol(1) = 1.e-15; |
| 478 | tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 479 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
480 | math_FunctionSetRoot Root(Func, tol); |
| 481 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
482 | if (Root.IsDone()) { |
| 483 | Root.Root(Ufirst); |
| 484 | Func.Value(Ufirst,Umin); |
| 485 | gp_Pnt2d centre1(L1.Location()); |
| 486 | gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY()); |
| 487 | gp_Pnt2d point2,point3; |
| 488 | gp_Vec2d Tan2,Tan3; |
| 489 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2); |
| 490 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 491 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 492 | if (circ.IsDone()) { |
| 493 | cirsol = circ.ThisSolution(1); |
| 494 | gp_Pnt2d centre(cirsol.Location()); |
| 495 | |
| 496 | // creation vaariables intermediaires pour WNT |
| 497 | gp_XY dummy1 = centre.XY()-L1.Location().XY(); |
| 498 | gp_XY dummy2 (-L1.Direction().Y(),L1.Direction().X()); |
| 499 | Standard_Real pscal=dummy1.Dot(dummy2); |
| 500 | |
| 501 | gp_Vec2d Tan1(L1.Direction().XY()); |
| 502 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 503 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 504 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 505 | gp_Vec2d Vec1(point1,centre); |
| 506 | gp_Vec2d Vec2(point2,centre); |
| 507 | gp_Vec2d Vec3(point3,centre); |
| 508 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 509 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 510 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 511 | Standard_Real dot1,dot2,dot3; |
| 512 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 513 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 514 | } |
| 515 | else { dot1 = 0.; } |
| 516 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 517 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 518 | } |
| 519 | else { dot2 = 0.; } |
| 520 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 521 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 522 | } |
| 523 | else { dot3 = 0.; } |
| 524 | Tol = 1.e-12; |
| 525 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 526 | if (Qualified1.IsUnqualified() || |
| 527 | (Qualified1.IsOutside() && pscal <= 0.) || |
| 528 | (Qualified1.IsEnclosed() && pscal >= 0.)) { |
| 529 | gp_Vec2d Vec(point2,centre); |
| 530 | Standard_Real Angle1 = Vec.Angle(Tan2); |
| 531 | if (Qualified2.IsUnqualified() || |
| 532 | (Qualified2.IsEnclosing()&&Angle1<=0.)|| |
| 533 | (Qualified2.IsOutside() && Angle1 >= 0) || |
| 534 | (Qualified2.IsEnclosed() && Angle1 <= 0.)) { |
| 535 | Vec = gp_Vec2d(point3,centre); |
| 536 | Angle1 = Vec.Angle(Tan3); |
| 537 | if (Qualified3.IsUnqualified() || |
| 538 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 539 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 540 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 541 | qualifier1 = Qualified1.Qualifier(); |
| 542 | qualifier2 = Qualified2.Qualifier(); |
| 543 | qualifier3 = Qualified3.Qualifier(); |
| 544 | pararg1 = Ufirst(1); |
| 545 | par1sol = 0.; |
| 546 | pnttg1sol = point1; |
| 547 | pararg2 = Ufirst(2); |
| 548 | pnttg2sol = point2; |
| 549 | par2sol = 0.; |
| 550 | pararg3 = Ufirst(3); |
| 551 | pnttg3sol = point3; |
| 552 | par3sol = 0.; |
| 553 | WellDone = Standard_True; |
| 554 | } |
| 555 | } |
| 556 | } |
| 557 | } |
| 558 | } |
| 559 | } |
| 560 | } |
| 561 | |
| 562 | Geom2dGcc_Circ2d3TanIter:: |
| 563 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 , |
| 564 | const GccEnt_QualifiedLin& Qualified2 , |
| 565 | const Geom2dGcc_QCurve& Qualified3 , |
| 566 | const Standard_Real Param1 , |
| 567 | const Standard_Real Param2 , |
| 568 | const Standard_Real Param3 , |
| 569 | const Standard_Real Tolerance ){ |
| 570 | |
| 571 | TheSame1 = Standard_False; |
| 572 | TheSame2 = Standard_False; |
| 573 | TheSame3 = Standard_False; |
| 574 | par1sol = 0.; |
| 575 | par2sol = 0.; |
| 576 | par3sol = 0.; |
| 577 | pararg1 = 0.; |
| 578 | pararg2 = 0.; |
| 579 | pararg3 = 0.; |
| 580 | |
| 581 | Standard_Real Tol = Abs(Tolerance); |
| 582 | WellDone = Standard_False; |
| 583 | if (!(Qualified1.IsEnclosed() || |
| 584 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 585 | !(Qualified2.IsEnclosed() || |
| 586 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 587 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 588 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
589 | throw GccEnt_BadQualifier(); |
| 54e37688 |
590 | return; |
| 591 | } |
| 592 | gp_Lin2d L1 = Qualified1.Qualified(); |
| 593 | gp_Lin2d L2 = Qualified2.Qualified(); |
| 594 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 595 | Geom2dGcc_FunctionTanCuCuCu Func(L1,L2,Cu3); |
| 596 | math_Vector Umin(1,3); |
| 597 | math_Vector Umax(1,3); |
| 598 | math_Vector Ufirst(1,3); |
| 599 | math_Vector tol(1,3); |
| 600 | Umin(1) = RealFirst(); |
| 601 | Umin(2) = RealFirst(); |
| 602 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 603 | Umax(1) = RealLast(); |
| 604 | Umax(2) = RealLast(); |
| 605 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 606 | Ufirst(1) = Param1; |
| 607 | Ufirst(2) = Param2; |
| 608 | Ufirst(3) = Param3; |
| 609 | tol(1) = 1.e-15; |
| 610 | tol(2) = 1.e-15; |
| 611 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
612 | math_FunctionSetRoot Root(Func, tol); |
| 613 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
614 | if (Root.IsDone()) { |
| 615 | Root.Root(Ufirst); |
| 616 | Func.Value(Ufirst,Umin); |
| 617 | gp_Pnt2d centre1(L1.Location()); |
| 618 | gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY()); |
| 619 | gp_Pnt2d centre2(L2.Location()); |
| 620 | gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY()); |
| 621 | gp_Pnt2d point3; |
| 622 | gp_Vec2d Tan3; |
| 623 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 624 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 625 | if (circ.IsDone()) { |
| 626 | cirsol = circ.ThisSolution(1); |
| 627 | gp_Pnt2d centre(cirsol.Location()); |
| 628 | Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(), |
| 629 | L1.Direction().X())); |
| 630 | if (Qualified1.IsUnqualified() || |
| 631 | (Qualified1.IsOutside() && pscal <= 0.) || |
| 632 | (Qualified1.IsEnclosed() && pscal >= 0.)) { |
| 54e37688 |
633 | gp_Vec2d Tan1(L1.Direction().XY()); |
| 634 | gp_Vec2d Tan2(L2.Direction().XY()); |
| 635 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 636 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 637 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 638 | gp_Vec2d Vec1(point1,centre); |
| 639 | gp_Vec2d Vec2(point2,centre); |
| 640 | gp_Vec2d Vec3(point3,centre); |
| 641 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 642 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 643 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 644 | Standard_Real dot1,dot2,dot3; |
| 645 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 646 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 647 | } |
| 648 | else { dot1 = 0.; } |
| 649 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 650 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 651 | } |
| 652 | else { dot2 = 0.; } |
| 653 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 654 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 655 | } |
| 656 | else { dot3 = 0.; } |
| 657 | Tol = 1.e-12; |
| 658 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 659 | if (Qualified2.IsUnqualified() || |
| 660 | (Qualified2.IsOutside() && pscal <= 0.) || |
| 661 | (Qualified2.IsEnclosed() && pscal >= 0.)) { |
| 662 | Standard_Real Angle1 = Vec3.Angle(Tan3); |
| 663 | if (Qualified3.IsUnqualified() || |
| 664 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 665 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 666 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 667 | qualifier1 = Qualified1.Qualifier(); |
| 668 | qualifier2 = Qualified2.Qualifier(); |
| 669 | qualifier3 = Qualified3.Qualifier(); |
| 670 | pararg1 = Ufirst(1); |
| 671 | par1sol = 0.; |
| 672 | pnttg1sol = point1; |
| 673 | pararg2 = Ufirst(2); |
| 674 | pnttg2sol = point2; |
| 675 | par2sol = 0.; |
| 676 | pararg3 = Ufirst(3); |
| 677 | pnttg3sol = point3; |
| 678 | par3sol = 0.; |
| 679 | WellDone = Standard_True; |
| 680 | } |
| 681 | } |
| 682 | } |
| 683 | } |
| 684 | } |
| 685 | } |
| 686 | } |
| 687 | |
| 688 | Geom2dGcc_Circ2d3TanIter:: |
| 689 | Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 , |
| 690 | const Geom2dGcc_QCurve& Qualified2 , |
| 691 | const gp_Pnt2d& Point3 , |
| 692 | const Standard_Real Param1 , |
| 693 | const Standard_Real Param2 , |
| 694 | const Standard_Real Tolerance ) { |
| 695 | |
| 696 | TheSame1 = Standard_False; |
| 697 | TheSame2 = Standard_False; |
| 698 | TheSame3 = Standard_False; |
| 699 | par1sol = 0.; |
| 700 | par2sol = 0.; |
| 701 | par3sol = 0.; |
| 702 | pararg1 = 0.; |
| 703 | pararg2 = 0.; |
| 704 | pararg3 = 0.; |
| 705 | |
| 706 | Standard_Real Tol = Abs(Tolerance); |
| 707 | WellDone = Standard_False; |
| 708 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 709 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 710 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 711 | Qualified2.IsOutside() || Qualified2.IsUnqualified())) { |
| 9775fa61 |
712 | throw GccEnt_BadQualifier(); |
| 54e37688 |
713 | return; |
| 714 | } |
| 715 | gp_Circ2d C1(gp_Ax2d(Point3,gp_Dir2d(1.,0.)),0.); |
| 716 | Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified(); |
| 717 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 718 | Geom2dGcc_FunctionTanCuCuCu Func(C1,Cu1,Cu2); |
| 719 | math_Vector Umin(1,3); |
| 720 | math_Vector Umax(1,3); |
| 721 | math_Vector Ufirst(1,3); |
| 722 | math_Vector tol(1,3); |
| 723 | Umin(1) = 0.; |
| 724 | Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu1); |
| 725 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 726 | Umax(1) = 2*M_PI; |
| 727 | Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu1); |
| 728 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 729 | Ufirst(1) = M_PI; |
| 730 | Ufirst(2) = Param1; |
| 731 | Ufirst(3) = Param2; |
| 732 | tol(1) = 2.e-15*M_PI; |
| 733 | tol(2) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance)); |
| 734 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 859a47c3 |
735 | math_FunctionSetRoot Root(Func, tol); |
| 736 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
737 | if (Root.IsDone()) { |
| 738 | Root.Root(Ufirst); |
| 739 | Func.Value(Ufirst,Umin); |
| 740 | gp_Pnt2d point1,point2; |
| 741 | // gp_Vec2d Tan1,Tan2,Nor1,Nor2; |
| 742 | gp_Vec2d Tan1,Tan2; |
| 743 | Geom2dGcc_CurveTool::D1(Cu1,Ufirst(2),point1,Tan1); |
| 744 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(3),point2,Tan2); |
| 745 | GccAna_Circ2d3Tan circ(Point3,point1,point2,Tol); |
| 746 | if (circ.IsDone()) { |
| 747 | cirsol = circ.ThisSolution(1); |
| 748 | gp_Pnt2d centre(cirsol.Location()); |
| 749 | gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1))); |
| 750 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 751 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 752 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 753 | gp_Vec2d Vec1(point1,centre); |
| 754 | gp_Vec2d Vec2(point2,centre); |
| 755 | gp_Vec2d Vec3(Point3,centre); |
| 756 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 757 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 758 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 759 | Standard_Real dot1,dot2,dot3; |
| 760 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 761 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 762 | } |
| 763 | else { dot1 = 0.; } |
| 764 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 765 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 766 | } |
| 767 | else { dot2 = 0.; } |
| 768 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 769 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 770 | } |
| 771 | else { dot3 = 0.; } |
| 772 | Tol = 1.e-12; |
| 773 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 774 | Standard_Real Angle1 = Vec1.Angle(Tan1); |
| 775 | if (Qualified1.IsUnqualified()|| |
| 776 | (Qualified1.IsEnclosing()&&Angle1<=0.)|| |
| 777 | (Qualified1.IsOutside() && Angle1 >= 0) || |
| 778 | (Qualified1.IsEnclosed() && Angle1 <= 0.)) { |
| 779 | Angle1 = Vec2.Angle(Tan2); |
| 780 | if (Qualified1.IsUnqualified() || |
| 781 | (Qualified1.IsEnclosing()&&Angle1<=0.)|| |
| 782 | (Qualified1.IsOutside() && Angle1 >= 0) || |
| 783 | (Qualified1.IsEnclosed() && Angle1 <= 0.)) { |
| 784 | qualifier1 = Qualified1.Qualifier(); |
| 785 | qualifier2 = Qualified2.Qualifier(); |
| 786 | qualifier3 = GccEnt_noqualifier; |
| 787 | pararg1 = Ufirst(2); |
| 788 | par1sol = 0.; |
| 789 | pnttg1sol = point1; |
| 790 | pararg2 = Ufirst(3); |
| 791 | pnttg2sol = point2; |
| 792 | par2sol = 0.; |
| 793 | pararg3 = 0.; |
| 794 | pnttg3sol = Point3; |
| 795 | par3sol = 0.; |
| 796 | WellDone = Standard_True; |
| 797 | } |
| 798 | } |
| 799 | } |
| 800 | } |
| 801 | } |
| 802 | } |
| 803 | |
| 804 | Geom2dGcc_Circ2d3TanIter:: |
| 805 | Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 , |
| 806 | const gp_Pnt2d& Point2 , |
| 807 | const gp_Pnt2d& Point3 , |
| 808 | const Standard_Real Param1 , |
| 809 | const Standard_Real Tolerance ) { |
| 810 | |
| 811 | TheSame1 = Standard_False; |
| 812 | TheSame2 = Standard_False; |
| 813 | TheSame3 = Standard_False; |
| 814 | par1sol = 0.; |
| 815 | par2sol = 0.; |
| 816 | par3sol = 0.; |
| 817 | pararg1 = 0.; |
| 818 | pararg2 = 0.; |
| 819 | pararg3 = 0.; |
| 820 | |
| 821 | Standard_Real Tol = Abs(Tolerance); |
| 822 | WellDone = Standard_False; |
| 823 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 824 | Qualified1.IsOutside() || Qualified1.IsUnqualified())) { |
| 9775fa61 |
825 | throw GccEnt_BadQualifier(); |
| 54e37688 |
826 | return; |
| 827 | } |
| 828 | gp_Dir2d dirx(1.,0.); |
| 829 | gp_Circ2d C1(gp_Ax2d(Point2,dirx),0.); |
| 830 | gp_Circ2d C2(gp_Ax2d(Point3,dirx),0.); |
| 831 | Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified(); |
| 832 | Geom2dGcc_FunctionTanCuCuCu Func(C1,C2,Cu1); |
| 833 | math_Vector Umin(1,3); |
| 834 | math_Vector Umax(1,3); |
| 835 | math_Vector Ufirst(1,3); |
| 836 | math_Vector tol(1,3); |
| 837 | Umin(1) = 0.; |
| 838 | Umin(2) = 0.; |
| 839 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu1); |
| 840 | Umax(1) = 2*M_PI; |
| 841 | Umax(2) = 2*M_PI; |
| 842 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu1); |
| 843 | Ufirst(1) = M_PI; |
| 844 | Ufirst(2) = M_PI; |
| 845 | Ufirst(3) = Param1; |
| 846 | tol(1) = 2.e-15*M_PI; |
| 847 | tol(2) = 2.e-15*M_PI; |
| 848 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance)); |
| 859a47c3 |
849 | math_FunctionSetRoot Root(Func, tol); |
| 850 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
851 | if (Root.IsDone()) { |
| 852 | Root.Root(Ufirst); |
| 853 | Func.Value(Ufirst,Umin); |
| 854 | gp_Pnt2d point3; |
| 855 | // gp_Vec2d Tan3,Nor3; |
| 856 | gp_Vec2d Tan3; |
| 857 | Geom2dGcc_CurveTool::D1(Cu1,Ufirst(3),point3,Tan3); |
| 858 | GccAna_Circ2d3Tan circ(Point2,Point3,point3,Tol); |
| 859 | if (circ.IsDone()) { |
| 860 | cirsol = circ.ThisSolution(1); |
| 861 | gp_Pnt2d centre(cirsol.Location()); |
| 862 | gp_Vec2d Tan2(-Sin(Ufirst(2)),Cos(Ufirst(2))); |
| 863 | gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1))); |
| 864 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 865 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 866 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 867 | gp_Vec2d Vec1(Point2,centre); |
| 868 | gp_Vec2d Vec2(Point3,centre); |
| 869 | gp_Vec2d Vec3(point3,centre); |
| 870 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 871 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 872 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 873 | Standard_Real dot1,dot2,dot3; |
| 874 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 875 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 876 | } |
| 877 | else { dot1 = 0.; } |
| 878 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 879 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 880 | } |
| 881 | else { dot2 = 0.; } |
| 882 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 883 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 884 | } |
| 885 | else { dot3 = 0.; } |
| 886 | Tol = 1.e-12; |
| 887 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 888 | Standard_Real Angle1 = Vec1.Angle(Tan1); |
| 889 | if (Qualified1.IsUnqualified() || |
| 890 | (Qualified1.IsEnclosing()&&Angle1<=0.)|| |
| 891 | (Qualified1.IsOutside() && Angle1 >= 0) || |
| 892 | (Qualified1.IsEnclosed() && Angle1 <= 0.)) { |
| 893 | qualifier1 = Qualified1.Qualifier(); |
| 894 | qualifier2 = GccEnt_noqualifier; |
| 895 | qualifier3 = GccEnt_noqualifier; |
| 896 | pararg1 = Ufirst(3); |
| 897 | par1sol = 0.; |
| 898 | pnttg1sol = point3; |
| 899 | pararg2 = 0.; |
| 900 | pnttg2sol = Point2; |
| 901 | par2sol = 0.; |
| 902 | pararg3 = 0.; |
| 903 | pnttg3sol = Point3; |
| 904 | par3sol = 0.; |
| 905 | WellDone = Standard_True; |
| 906 | } |
| 907 | } |
| 908 | } |
| 909 | } |
| 910 | } |
| 911 | |
| 912 | Geom2dGcc_Circ2d3TanIter:: |
| 913 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 , |
| 914 | const Geom2dGcc_QCurve& Qualified2 , |
| 915 | const gp_Pnt2d& Point3 , |
| 916 | const Standard_Real Param1 , |
| 917 | const Standard_Real Param2 , |
| 918 | const Standard_Real Tolerance ) { |
| 919 | |
| 920 | TheSame1 = Standard_False; |
| 921 | TheSame2 = Standard_False; |
| 922 | TheSame3 = Standard_False; |
| 923 | par1sol = 0.; |
| 924 | par2sol = 0.; |
| 925 | par3sol = 0.; |
| 926 | pararg1 = 0.; |
| 927 | pararg2 = 0.; |
| 928 | pararg3 = 0.; |
| 929 | |
| 930 | Standard_Real Tol = Abs(Tolerance); |
| 931 | WellDone = Standard_False; |
| 932 | if (!(Qualified1.IsEnclosed() || |
| 933 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 934 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 935 | Qualified2.IsOutside() || Qualified2.IsUnqualified())) { |
| 9775fa61 |
936 | throw GccEnt_BadQualifier(); |
| 54e37688 |
937 | return; |
| 938 | } |
| 939 | gp_Dir2d dirx(1.,0.); |
| 940 | gp_Lin2d L1 = Qualified1.Qualified(); |
| 941 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 942 | gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.); |
| 943 | Geom2dGcc_FunctionTanCuCuCu Func(C3,L1,Cu2); |
| 944 | math_Vector Umin(1,3); |
| 945 | math_Vector Umax(1,3); |
| 946 | math_Vector Ufirst(1,3); |
| 947 | math_Vector tol(1,3); |
| 948 | Umin(2) = RealFirst(); |
| 949 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 950 | Umin(1) = 0.; |
| 951 | Umax(2) = RealLast(); |
| 952 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 953 | Umax(1) = 2*M_PI; |
| 954 | Ufirst(2) = Param1; |
| 955 | Ufirst(3) = Param2; |
| 956 | Ufirst(1) = M_PI; |
| 957 | tol(1) = 2.e-15; |
| 958 | tol(2) = 1.e-15; |
| 959 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 859a47c3 |
960 | math_FunctionSetRoot Root(Func, tol); |
| 961 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
962 | if (Root.IsDone()) { |
| 963 | Root.Root(Ufirst); |
| 964 | Func.Value(Ufirst,Umin); |
| 965 | gp_Pnt2d centre1(L1.Location()); |
| 966 | gp_Pnt2d point1(centre1.XY()+Ufirst(2)*L1.Direction().XY()); |
| 967 | gp_Pnt2d point2; |
| 968 | gp_Vec2d Tan2; |
| 969 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2); |
| 970 | GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol); |
| 971 | if (circ.IsDone()) { |
| 972 | cirsol = circ.ThisSolution(1); |
| 973 | gp_Pnt2d centre(cirsol.Location()); |
| 974 | Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(), |
| 975 | L1.Direction().X())); |
| 976 | gp_Vec2d Tan1(L1.Direction().XY()); |
| 977 | gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1))); |
| 978 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 979 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 980 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 981 | gp_Vec2d Vec1(point1,centre); |
| 982 | gp_Vec2d Vec2(point2,centre); |
| 983 | gp_Vec2d Vec3(Point3,centre); |
| 984 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 985 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 986 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 987 | Standard_Real dot1,dot2,dot3; |
| 988 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 989 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 990 | } |
| 991 | else { dot1 = 0.; } |
| 992 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 993 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 994 | } |
| 995 | else { dot2 = 0.; } |
| 996 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 997 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 998 | } |
| 999 | else { dot3 = 0.; } |
| 1000 | Tol = 1.e-12; |
| 1001 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 1002 | if (Qualified1.IsUnqualified() || |
| 1003 | (Qualified1.IsOutside() && pscal <= 0.) || |
| 1004 | (Qualified1.IsEnclosed() && pscal >= 0.)) { |
| 1005 | Standard_Real Angle1 = Vec2.Angle(Tan2); |
| 1006 | if (Qualified2.IsUnqualified() || |
| 1007 | (Qualified2.IsEnclosing()&&Angle1<=0.)|| |
| 1008 | (Qualified2.IsOutside() && Angle1 >= 0) || |
| 1009 | (Qualified2.IsEnclosed() && Angle1 <= 0.)) { |
| 1010 | qualifier1 = Qualified1.Qualifier(); |
| 1011 | qualifier2 = Qualified2.Qualifier(); |
| 1012 | qualifier3 = GccEnt_noqualifier; |
| 1013 | pararg1 = Ufirst(2); |
| 1014 | par1sol = 0.; |
| 1015 | pnttg1sol = point1; |
| 1016 | pararg2 = Ufirst(3); |
| 1017 | pnttg2sol = point2; |
| 1018 | par2sol = 0.; |
| 1019 | pararg3 = 0.; |
| 1020 | pnttg3sol = Point3; |
| 1021 | par3sol = 0.; |
| 1022 | WellDone = Standard_True; |
| 1023 | } |
| 1024 | } |
| 1025 | } |
| 1026 | } |
| 1027 | } |
| 1028 | } |
| 1029 | |
| 1030 | Geom2dGcc_Circ2d3TanIter:: |
| 1031 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 , |
| 1032 | const GccEnt_QualifiedLin& Qualified2 , |
| 1033 | const Geom2dGcc_QCurve& Qualified3 , |
| 1034 | const Standard_Real Param1 , |
| 1035 | const Standard_Real Param2 , |
| 1036 | const Standard_Real Param3 , |
| 1037 | const Standard_Real Tolerance ) { |
| 1038 | |
| 1039 | TheSame1 = Standard_False; |
| 1040 | TheSame2 = Standard_False; |
| 1041 | TheSame3 = Standard_False; |
| 1042 | par1sol = 0.; |
| 1043 | par2sol = 0.; |
| 1044 | par3sol = 0.; |
| 1045 | pararg1 = 0.; |
| 1046 | pararg2 = 0.; |
| 1047 | pararg3 = 0.; |
| 1048 | |
| 1049 | Standard_Real Tol = Abs(Tolerance); |
| 1050 | WellDone = Standard_False; |
| 1051 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 1052 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 1053 | !(Qualified2.IsEnclosed() || |
| 1054 | Qualified2.IsOutside() || Qualified2.IsUnqualified()) || |
| 1055 | !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() || |
| 1056 | Qualified3.IsOutside() || Qualified3.IsUnqualified())) { |
| 9775fa61 |
1057 | throw GccEnt_BadQualifier(); |
| 54e37688 |
1058 | return; |
| 1059 | } |
| 1060 | gp_Circ2d C1 = Qualified1.Qualified(); |
| 1061 | gp_Lin2d L2 = Qualified2.Qualified(); |
| 1062 | Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified(); |
| 1063 | Geom2dGcc_FunctionTanCuCuCu Func(C1,L2,Cu3); |
| 1064 | math_Vector Umin(1,3); |
| 1065 | math_Vector Umax(1,3); |
| 1066 | math_Vector Ufirst(1,3); |
| 1067 | math_Vector tol(1,3); |
| 1068 | Umin(1) = 0.; |
| 1069 | Umin(2) = RealFirst(); |
| 1070 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3); |
| 1071 | Umax(1) = 2*M_PI; |
| 1072 | Umax(2) = RealLast(); |
| 1073 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3); |
| 1074 | Ufirst(1) = Param1; |
| 1075 | Ufirst(2) = Param2; |
| 1076 | Ufirst(3) = Param3; |
| 1077 | tol(1) = 2.e-15*M_PI; |
| 1078 | tol(2) = 1.e-15; |
| 1079 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance)); |
| 859a47c3 |
1080 | math_FunctionSetRoot Root(Func, tol); |
| 1081 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
1082 | if (Root.IsDone()) { |
| 1083 | Func.Value(Ufirst,Umin); |
| 1084 | Root.Root(Ufirst); |
| 1085 | gp_Pnt2d centre1(C1.Location()); |
| 1086 | Standard_Real R1 = C1.Radius(); |
| 1087 | gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1)))); |
| 1088 | gp_Pnt2d centre2(L2.Location()); |
| 1089 | gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY()); |
| 1090 | gp_Pnt2d point3; |
| 1091 | gp_Vec2d Tan3; |
| 1092 | Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3); |
| 1093 | GccAna_Circ2d3Tan circ(point1,point2,point3,Tol); |
| 1094 | if (circ.IsDone()) { |
| 1095 | cirsol = circ.ThisSolution(1); |
| 1096 | gp_Pnt2d centre(cirsol.Location()); |
| 1097 | gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1))); |
| 1098 | gp_Vec2d Tan2(L2.Direction().XY()); |
| 1099 | Standard_Real normetan1 = Tan1.Magnitude(); |
| 1100 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 1101 | Standard_Real normetan3 = Tan3.Magnitude(); |
| 1102 | gp_Vec2d Vec1(point1,centre); |
| 1103 | gp_Vec2d Vec2(point2,centre); |
| 1104 | gp_Vec2d Vec3(point3,centre); |
| 1105 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 1106 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 1107 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 1108 | Standard_Real dot1,dot2,dot3; |
| 1109 | if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) { |
| 1110 | dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1); |
| 1111 | } |
| 1112 | else { dot1 = 0.; } |
| 1113 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 1114 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 1115 | } |
| 1116 | else { dot2 = 0.; } |
| 1117 | if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) { |
| 1118 | dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3); |
| 1119 | } |
| 1120 | else { dot3 = 0.; } |
| 1121 | Tol = 1.e-12; |
| 1122 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 1123 | Standard_Real dist = centre1.Distance(centre); |
| 1124 | Standard_Real Rsol = cirsol.Radius(); |
| 1125 | if (Qualified1.IsUnqualified() || |
| 1126 | (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)|| |
| 1127 | (Qualified1.IsOutside() && dist >= Rsol) || |
| 1128 | (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) { |
| 1129 | Standard_Real pscal=centre.XY().Dot(gp_XY(-L2.Direction().Y(), |
| 1130 | L2.Direction().X())); |
| 1131 | if (Qualified2.IsUnqualified() || |
| 1132 | (Qualified2.IsOutside() && pscal <= 0.) || |
| 1133 | (Qualified2.IsEnclosed() && pscal >= 0.)) { |
| 1134 | Standard_Real Angle1 = Vec3.Angle(Tan3); |
| 1135 | if (Qualified3.IsUnqualified() || |
| 1136 | (Qualified3.IsEnclosing()&&Angle1<=0.)|| |
| 1137 | (Qualified3.IsOutside() && Angle1 >= 0) || |
| 1138 | (Qualified3.IsEnclosed() && Angle1 <= 0.)) { |
| 1139 | qualifier1 = Qualified1.Qualifier(); |
| 1140 | qualifier2 = Qualified2.Qualifier(); |
| 1141 | qualifier3 = Qualified3.Qualifier(); |
| 1142 | pararg1 = Ufirst(1); |
| 1143 | par1sol = 0.; |
| 1144 | pnttg1sol = point1; |
| 1145 | pararg2 = Ufirst(2); |
| 1146 | pnttg2sol = point2; |
| 1147 | par2sol = 0.; |
| 1148 | pararg3 = Ufirst(3); |
| 1149 | pnttg3sol = point3; |
| 1150 | par3sol = 0.; |
| 1151 | WellDone = Standard_True; |
| 1152 | } |
| 1153 | } |
| 1154 | } |
| 1155 | } |
| 1156 | } |
| 1157 | } |
| 1158 | } |
| 1159 | |
| 1160 | Geom2dGcc_Circ2d3TanIter:: |
| 1161 | Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 , |
| 1162 | const Geom2dGcc_QCurve& Qualified2 , |
| 1163 | const gp_Pnt2d& Point3 , |
| 1164 | const Standard_Real Param1 , |
| 1165 | const Standard_Real Param2 , |
| 1166 | const Standard_Real Tolerance ) { |
| 1167 | |
| 1168 | TheSame1 = Standard_False; |
| 1169 | TheSame2 = Standard_False; |
| 1170 | TheSame3 = Standard_False; |
| 1171 | par1sol = 0.; |
| 1172 | par2sol = 0.; |
| 1173 | par3sol = 0.; |
| 1174 | pararg1 = 0.; |
| 1175 | pararg2 = 0.; |
| 1176 | pararg3 = 0.; |
| 1177 | |
| 1178 | Standard_Real Tol = Abs(Tolerance); |
| 1179 | WellDone = Standard_False; |
| 1180 | if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || |
| 1181 | Qualified1.IsOutside() || Qualified1.IsUnqualified()) || |
| 1182 | !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() || |
| 1183 | Qualified2.IsOutside() || Qualified2.IsUnqualified())) { |
| 9775fa61 |
1184 | throw GccEnt_BadQualifier(); |
| 54e37688 |
1185 | return; |
| 1186 | } |
| 1187 | gp_Circ2d C1 = Qualified1.Qualified(); |
| 1188 | Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified(); |
| 1189 | gp_Dir2d dirx(1.,0.); |
| 1190 | gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.); |
| 1191 | Geom2dGcc_FunctionTanCuCuCu Func(C1,C3,Cu2); |
| 1192 | math_Vector Umin(1,3); |
| 1193 | math_Vector Umax(1,3); |
| 1194 | math_Vector Ufirst(1,3); |
| 1195 | math_Vector tol(1,3); |
| 1196 | Umin(1) = 0.; |
| 1197 | Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2); |
| 1198 | Umin(2) = 0.; |
| 1199 | Umax(1) = 2*M_PI; |
| 1200 | Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2); |
| 1201 | Umax(2) = 2*M_PI; |
| 1202 | Ufirst(1) = Param1; |
| 1203 | Ufirst(2) = M_PI; |
| 1204 | Ufirst(3) = Param2; |
| 1205 | tol(1) = 2.e-15*M_PI; |
| 1206 | tol(2) = 2.e-15*M_PI; |
| 1207 | tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance)); |
| 859a47c3 |
1208 | math_FunctionSetRoot Root(Func, tol); |
| 1209 | Root.Perform(Func, Ufirst, Umin, Umax); |
| 54e37688 |
1210 | if (Root.IsDone()) { |
| 1211 | Root.Root(Ufirst); |
| 1212 | Func.Value(Ufirst,Umin); |
| 1213 | gp_Pnt2d centre1(C1.Location()); |
| 1214 | Standard_Real R1 = C1.Radius(); |
| 1215 | gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1)))); |
| 1216 | gp_Pnt2d point2; |
| 1217 | // gp_Vec2d Tan2,Nor2; |
| 1218 | gp_Vec2d Tan2; |
| 1219 | Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2); |
| 1220 | GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol); |
| 1221 | if (circ.IsDone()) { |
| 1222 | cirsol = circ.ThisSolution(1); |
| 1223 | gp_Pnt2d centre(cirsol.Location()); |
| 1224 | gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1))); |
| 1225 | gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3))); |
| 1226 | Standard_Real normetan2 = Tan2.Magnitude(); |
| 1227 | gp_Vec2d Vec1(point1,centre); |
| 1228 | gp_Vec2d Vec2(point2,centre); |
| 1229 | gp_Vec2d Vec3(Point3,centre); |
| 1230 | Standard_Real normevec1 = Vec1.Magnitude(); |
| 1231 | Standard_Real normevec2 = Vec2.Magnitude(); |
| 1232 | Standard_Real normevec3 = Vec3.Magnitude(); |
| 1233 | Standard_Real dot1,dot2,dot3; |
| 1234 | if (normevec1 >= gp::Resolution()) { |
| 1235 | dot1 = Vec1.Dot(Tan1)/(normevec1); |
| 1236 | } |
| 1237 | else { dot1 = 0.; } |
| 1238 | if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) { |
| 1239 | dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2); |
| 1240 | } |
| 1241 | else { dot2 = 0.; } |
| 1242 | if (normevec3 >= gp::Resolution()) { |
| 1243 | dot3 = Vec3.Dot(Tan3)/(normevec3); |
| 1244 | } |
| 1245 | else { dot3 = 0.; } |
| 1246 | Tol = 1.e-12; |
| 1247 | if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) { |
| 1248 | Standard_Real dist = centre1.Distance(centre); |
| 1249 | Standard_Real Rsol = cirsol.Radius(); |
| 1250 | if (Qualified1.IsUnqualified() || |
| 1251 | (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)|| |
| 1252 | (Qualified1.IsOutside() && dist >= Rsol) || |
| 1253 | (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) { |
| 1254 | Standard_Real Angle1 = Vec2.Angle(Tan2); |
| 1255 | if (Qualified2.IsUnqualified() || |
| 1256 | (Qualified2.IsEnclosing()&&Angle1<=0.)|| |
| 1257 | (Qualified2.IsOutside() && Angle1 >= 0) || |
| 1258 | (Qualified2.IsEnclosed() && Angle1 <= 0.)) { |
| 1259 | qualifier1 = Qualified1.Qualifier(); |
| 1260 | qualifier2 = Qualified2.Qualifier(); |
| 1261 | qualifier3 = GccEnt_noqualifier; |
| 1262 | pararg1 = Ufirst(1); |
| 1263 | par1sol = 0.; |
| 1264 | pnttg1sol = point1; |
| 1265 | pararg2 = Ufirst(2); |
| 1266 | pnttg2sol = point2; |
| 1267 | par2sol = 0.; |
| 1268 | pararg3 = 0.; |
| 1269 | pnttg3sol = Point3; |
| 1270 | par3sol = 0.; |
| 1271 | WellDone = Standard_True; |
| 1272 | } |
| 1273 | } |
| 1274 | } |
| 1275 | } |
| 1276 | } |
| 1277 | } |
| 1278 | |
| 1279 | Standard_Boolean Geom2dGcc_Circ2d3TanIter:: |
| 1280 | IsDone () const{ return WellDone; } |
| 1281 | |
| 1282 | gp_Circ2d Geom2dGcc_Circ2d3TanIter:: |
| 1283 | ThisSolution () const{ return cirsol; } |
| 1284 | |
| 1285 | void Geom2dGcc_Circ2d3TanIter:: |
| 1286 | WhichQualifier (GccEnt_Position& Qualif1 , |
| 1287 | GccEnt_Position& Qualif2 , |
| 1288 | GccEnt_Position& Qualif3 ) const |
| 1289 | { |
| 9775fa61 |
1290 | if (!WellDone) { throw StdFail_NotDone(); } |
| 54e37688 |
1291 | else { |
| 1292 | Qualif1 = qualifier1; |
| 1293 | Qualif2 = qualifier2; |
| 1294 | Qualif3 = qualifier3; |
| 1295 | } |
| 1296 | } |
| 1297 | |
| 1298 | void Geom2dGcc_Circ2d3TanIter:: |
| 1299 | Tangency1 (Standard_Real& ParSol , |
| 1300 | Standard_Real& ParArg , |
| 1301 | gp_Pnt2d& PntSol ) const{ |
| 9775fa61 |
1302 | if (!WellDone) { throw StdFail_NotDone(); } |
| 54e37688 |
1303 | else { |
| 1304 | if (TheSame1 == 0) { |
| 1305 | ParSol = par1sol; |
| 1306 | ParArg = pararg1; |
| 1307 | PntSol = pnttg1sol; |
| 1308 | } |
| 9775fa61 |
1309 | else { throw StdFail_NotDone(); } |
| 54e37688 |
1310 | } |
| 1311 | } |
| 1312 | |
| 1313 | void Geom2dGcc_Circ2d3TanIter:: |
| 1314 | Tangency2 (Standard_Real& ParSol , |
| 1315 | Standard_Real& ParArg , |
| 1316 | gp_Pnt2d& PntSol ) const{ |
| 9775fa61 |
1317 | if (!WellDone) { throw StdFail_NotDone(); } |
| 54e37688 |
1318 | else { |
| 1319 | ParSol = par2sol; |
| 1320 | ParArg = pararg2; |
| 1321 | PntSol = pnttg2sol; |
| 1322 | } |
| 1323 | } |
| 1324 | |
| 1325 | void Geom2dGcc_Circ2d3TanIter:: |
| 1326 | Tangency3 (Standard_Real& ParSol , |
| 1327 | Standard_Real& ParArg , |
| 1328 | gp_Pnt2d& PntSol ) const{ |
| 9775fa61 |
1329 | if (!WellDone) { throw StdFail_NotDone(); } |
| 54e37688 |
1330 | else { |
| 1331 | ParSol = par3sol; |
| 1332 | ParArg = pararg3; |
| 1333 | PntSol = pnttg3sol; |
| 1334 | } |
| 1335 | } |
| 1336 | |
| 1337 | Standard_Boolean Geom2dGcc_Circ2d3TanIter:: |
| 1338 | IsTheSame1 () const |
| 1339 | { |
| 9775fa61 |
1340 | if (!WellDone) throw StdFail_NotDone(); |
| 54e37688 |
1341 | |
| 1342 | if (TheSame1 == 0) |
| 1343 | return Standard_False; |
| 1344 | |
| 1345 | return Standard_True; |
| 1346 | } |
| 1347 | |
| 1348 | |
| 1349 | Standard_Boolean Geom2dGcc_Circ2d3TanIter:: |
| 1350 | IsTheSame2 () const |
| 1351 | { |
| 9775fa61 |
1352 | if (!WellDone) throw StdFail_NotDone(); |
| 54e37688 |
1353 | |
| 1354 | if (TheSame3 == 0) |
| 1355 | return Standard_False; |
| 1356 | |
| 1357 | return Standard_True; |
| 1358 | |
| 1359 | } |
| 1360 | |
| 1361 | Standard_Boolean Geom2dGcc_Circ2d3TanIter:: |
| 1362 | IsTheSame3 () const |
| 1363 | { |
| 9775fa61 |
1364 | if (!WellDone) throw StdFail_NotDone(); |
| 54e37688 |
1365 | |
| 1366 | return Standard_True; |
| 1367 | } |
projects / occt.git / blame