p GccAna
p GccEnt
p GccInt
-p GccIter
p Geom2dAPI
p Geom2dGcc
p Geom2dHatch
+++ /dev/null
--- Created on: 1991-04-04
--- Created by: Remi GILET
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-package GccIter
-
- ---Purpose :
- -- This package provides an implementation of analytics
- -- algorithms (using only non persistant entities) used
- -- to create 2d lines or circles with geometric constraints.
- --
- -- Exceptions :
- -- IsParallel which inherits DomainError. This exception
- -- is raised in the class Lin2dTanObl when we want to
- -- find the intersection point between the solution and
- -- the second argument with a null angle.
-
-uses GccEnt,
- GccInt,
- GccAna,
- StdFail,
- gp,
- math
-
-is
-
-enumeration Type1 is CuCuCu,CiCuCu,CiCiCu,CiLiCu,LiLiCu,LiCuCu;
-
-enumeration Type2 is CuCuOnCu,CiCuOnCu,LiCuOnCu,CuPtOnCu,
- CuCuOnLi,CiCuOnLi,LiCuOnLi,CuPtOnLi,
- CuCuOnCi,CiCuOnCi,LiCuOnCi,CuPtOnCi;
-
-enumeration Type3 is CuCu,CiCu;
-
-generic class FunctionTanCuCu;
-
-generic class FunctionTanCirCu;
-
-generic class FunctionTanCuCuCu;
-
-generic class FunctionTanCuCuOnCu;
-
-generic class FunctionTanCuPnt;
-
-generic class FunctionTanObl;
-
-generic class Lin2dTanObl, FuncTObl;
- -- Create a 2d line TANgent to a 2d curve and OBLic to a 2d line.
-
-generic class Lin2d2Tan, FuncTCuCu, FuncTCirCu, FuncTCuPt;
- -- Create a 2d line TANgent to 2 2d entities.
-
-generic class Circ2d3Tan, FuncTCuCuCu;
- -- Create a 2d circle TANgent to 3 2d entities.
-
-generic class Circ2d2TanOn, FuncTCuCuOnCu;
- -- Create a 2d circle TANgent to a 2d entity and centered ON a 2d
- -- entity (not a point).
-
-exception IsParallel inherits DomainError from Standard;
-
-end GccIter;
+++ /dev/null
--- Created on: 1991-03-29
--- Created by: Remi GILET
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class Circ2d2TanOn from GccIter (
- TheCurve as any;
- TheCurveTool as any;
- TheQualifiedCurve as any) -- as QualifiedCurve from GccEnt
- -- (TheCurve)
-
- ---Purpose: This class implements the algorithms used to
- -- create 2d circles TANgent to 2 entities and
- -- having the center ON a curv.
- -- The order of the tangency argument is always
- -- QualifiedCirc, QualifiedLin, QualifiedCurv, Pnt2d.
- -- the arguments are :
- -- - The two tangency arguments.
- -- - The center line.
- -- - The parameter for each tangency argument which
- -- is a curve.
- -- - The tolerance.
-
--- inherits Entity from Standard
-
-uses Pnt2d from gp,
- Lin2d from gp,
- Circ2d from gp,
- QualifiedCirc from GccEnt,
- QualifiedLin from GccEnt,
- Position from GccEnt
-
-raises NotDone from StdFail
-
-private class FuncTCuCuOnCu instantiates FunctionTanCuCuOnCu from GccIter (
- TheCurve,TheCurveTool);
-is
-
--- On a 2d line ..........................................................
-
-Create(Qualified1 : QualifiedCirc ;
- Qualified2 : TheQualifiedCurve ;
- OnLine : Lin2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d circle and a curve and
- -- having the center ON a 2d line.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : QualifiedLin ;
- Qualified2 : TheQualifiedCurve ;
- OnLine : Lin2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d line and a curve and
- -- having the center ON a 2d line.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- OnLine : Lin2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to two curves and
- -- having the center ON a 2d line.
- -- Param1 is the initial guess on the first QualifiedCurv.
- -- Param2 is the initial guess on the first QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Point2 : Pnt2d ;
- OnLine : Lin2d ;
- Param1 : Real ;
- Param2 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d point and a curve and
- -- having the center ON a 2d line.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-
--- -- On a 2d Circle .....................................................
-
-Create(Qualified1 : QualifiedCirc ;
- Qualified2 : TheQualifiedCurve ;
- OnCirc : Circ2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d circle and a curve and
- -- having the center ON a 2d circle.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : QualifiedLin ;
- Qualified2 : TheQualifiedCurve ;
- OnCirc : Circ2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d line and a curve and
- -- having the center ON a 2d circle.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- OnCirc : Circ2d ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to two curves and
- -- having the center ON a 2d circle.
- -- Param1 is the initial guess on the first QualifiedCurv.
- -- Param2 is the initial guess on the first QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Point2 : Pnt2d ;
- OnCirc : Circ2d ;
- Param1 : Real ;
- Param2 : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d point and a curve and
- -- having the center ON a 2d circle.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolerance is used for the limit cases.
-
--- -- On a curve .....................................................
-
-Create(Qualified1 : QualifiedCirc ;
- Qualified2 : TheQualifiedCurve ;
- OnCurv : TheCurve ;
- Param1 : Real ;
- Param2 : Real ;
- ParamOn : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d circle and a curve and
- -- having the center ON a 2d curve.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- ParamOn is the initial guess on the center curve OnCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : QualifiedLin ;
- Qualified2 : TheQualifiedCurve ;
- OnCurve : TheCurve ;
- Param1 : Real ;
- Param2 : Real ;
- ParamOn : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d line and a curve and
- -- having the center ON a 2d curve.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- ParamOn is the initial guess on the center curve OnCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Point2 : Pnt2d ;
- OnCurve : TheCurve ;
- Param1 : Real ;
- ParamOn : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to a 2d Point and a curve and
- -- having the center ON a 2d curve.
- -- Param1 is the initial guess on the curve QualifiedCurv.
- -- ParamOn is the initial guess on the center curve OnCurv.
- -- Tolerance is used for the limit cases.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- OnCurve : TheCurve ;
- Param1 : Real ;
- Param2 : Real ;
- ParamOn : Real ;
- Tolerance : Real ) returns Circ2d2TanOn from GccIter ;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles TANgent to two curves and
- -- having the center ON a 2d curve.
- -- Param1 is the initial guess on the first curve QualifiedCurv.
- -- Param1 is the initial guess on the second curve QualifiedCurv.
- -- ParamOn is the initial guess on the center curve OnCurv.
- -- Tolerance is used for the limit cases.
-
--- -- ....................................................................
-
-IsDone(me) returns Boolean
-is static;
- ---Purpose: This method returns True if the construction
- -- algorithm succeeded.
-
-ThisSolution(me) returns Circ2d
- ---Purpose: Returns the solution.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-WhichQualifier(me ;
- Qualif1 : out Position from GccEnt;
- Qualif2 : out Position from GccEnt)
-raises NotDone from StdFail
-is static;
- -- It returns the informations about the qualifiers of the tangency
- -- arguments concerning the solution number Index.
- -- It returns the real qualifiers (the qualifiers given to the
- -- constructor method in case of enclosed, enclosing and outside
- -- and the qualifiers computedin case of unqualified).
-
-Tangency1(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns information about the tangency point between
- -- the result and the first argument.
- -- ParSol is the intrinsic parameter of the point PntSol
- -- on the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol
- -- on the argument curv.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-Tangency2(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns information about the tangency point between
- -- the result and the second argument.
- -- ParSol is the intrinsic parameter of the point PntSol
- -- on the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol
- -- on the argument curv.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-CenterOn3 (me ;
- ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns information about the center (on the curv) of the
- -- result and the third argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-IsTheSame1(me) returns Boolean
- -- Returns True if the solution is equal to the first argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-IsTheSame2(me) returns Boolean
- -- Returns True if the solution is equal to the second argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-fields
-
- WellDone : Boolean;
- ---Purpose: True if the algorithm succeeded.
-
- cirsol : Circ2d from gp;
- -- The solutions.
-
- qualifier1 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- qualifier2 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- TheSame1 : Boolean;
- ---Purpose: True if the solution and the first argument are the
- -- same in the tolerance of Tolerance.
- -- False in the other cases.
-
- TheSame2 : Boolean;
- ---Purpose: True if the solution and the second argument are the
- -- same in the tolerance of Tolerance.
- -- False in the other cases.
-
- pnttg1sol : Pnt2d;
- ---Purpose: The tangency point between the solution and the first
- -- argument on the solution.
-
- pnttg2sol : Pnt2d;
- ---Purpose: The tangency point between the solution and the second
- -- argument on the solution.
-
- pntcen : Pnt2d;
- ---Purpose: The center point of the solution on the third argument.
-
- par1sol : Real;
- ---Purpose: The parameter of the tangency point between the
- -- solution and the first argument on the solution.
-
- par2sol : Real;
- ---Purpose: The parameter of the tangency point between the
- -- solution and the second argument on the solution.
-
- pararg1 : Real;
- ---Purpose: The parameter of the tangency point between the
- -- solution and the first argument on the first argument.
-
- pararg2 : Real;
- ---Purpose: The parameter of the tangency point between the
- -- solution and the second argument on the second argument.
-
- parcen3 : Real;
- ---Purpose: The parameter of the center point of the solution
- -- on the second argument.
-
-end Circ2d2TanOn;
+++ /dev/null
-// Created on: 1991-12-13
-// Created by: Remi GILET
-// Copyright (c) 1991-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-//=========================================================================
-// Creation d un cercle tangent a deux elements : Droite. +
-// Cercle. +
-// Point. +
-// Courbes. +
-// centre sur un troisieme : Droite. +
-// Cercle. +
-// Courbes. +
-//=========================================================================
-
-#include <gp_Dir2d.hxx>
-#include <gp_Ax2d.hxx>
-#include <gp.hxx>
-#include <StdFail_NotDone.hxx>
-#include <GccEnt_BadQualifier.hxx>
-#include <math_FunctionSetRoot.hxx>
-#include <ElCLib.hxx>
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedLin& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Lin2d& OnLine ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolang ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- Standard_Real Tol = Abs(Tolang);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Dir2d dirx(1.,0.);
- gp_Lin2d L1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 1.e-15;
- tol(2) = TheCurveTool::EpsX(Cu2,Tolang);
- tol(3) = tol(1);
- tol(4) = tol(1);
- gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(L1,Cu2,OnLine,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// gp_Vec2d Tan1,Tan2,Nor1,Nor2;
- gp_Vec2d Tan1,Tan2;
- ElCLib::D1(Ufirst(1),L1,point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- gp_Vec2d Tan3(OnLine.Direction().XY());
- gp_Pnt2d point3(OnLine.Location().XY()+Ufirst(3)*Tan3.XY());
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Lin2d& OnLine ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = 1.e-15;
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Cu2,OnLine,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Vec2d Tan1,Tan2;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- gp_Vec2d Tan3(OnLine.Direction().XY());
- gp_Pnt2d point3(OnLine.Location().XY()+Ufirst(3)*Tan3.XY());
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle1,angle2;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const gp_Pnt2d& Point2 ,
- const gp_Lin2d& OnLine ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = RealFirst();
- Umin(3) = 0.;
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = RealLast();
- Umax(3) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = 1.e-15;
- tol(3) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point3 = ElCLib::Value(Param2,OnLine);
- Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Point2,OnLine,Ufirst(3));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Pnt2d point1,point3;
- gp_Vec2d Tan1,Tan3;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- ElCLib::D1(Ufirst(2),OnLine,point3,Tan3);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(Point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real angle1;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = GccEnt_noqualifier;
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = Point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Lin2d& OnLine ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- gp_Circ2d C1 = Qualified1.Qualified();
- Standard_Real R1 = C1.Radius();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 2.e-15*M_PI;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = 1.e-15;
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(C1,Cu2,OnLine,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// gp_Vec2d Tan1,Tan2,Nor1,Nor2;
- gp_Vec2d Tan1,Tan2,Nor2;
- ElCLib::D2(Ufirst(1),C1,point1,Tan1,Nor2);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
-#ifdef DEB
- gp_Vec2d Tan3(OnLine.Direction().XY());
-#else
- OnLine.Direction().XY();
-#endif
- point3 = ElCLib::Value(Ufirst(1),OnLine);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real dist = C1.Location().Distance(point3);
- Standard_Real Rsol = cirsol.Radius();
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Circ2d& OnCirc ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- gp_Circ2d C1 = Qualified1.Qualified();
- Standard_Real R1 = C1.Radius();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 2.e-15*M_PI;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = 2.e-15*M_PI;
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = ElCLib::Value(Param3,OnCirc);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(C1,Cu2,OnCirc,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// gp_Vec2d Tan1,Tan2,Nor1;
- gp_Vec2d Tan1,Tan2;
- ElCLib::D1(Ufirst(1),C1,point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
-#ifdef DEB
- gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
-#endif
- point3 = ElCLib::Value(Ufirst(3),OnCirc);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real dist = C1.Location().Distance(point3);
- Standard_Real Rsol = cirsol.Radius();
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedLin& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Circ2d& OnCirc ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- gp_Lin2d L1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 1.e-15;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = 2.e-15*M_PI;
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = ElCLib::Value(Param3,OnCirc);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(L1,Cu2,OnCirc,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Pnt2d point1,point2;
- gp_Vec2d Tan1,Tan2;
- ElCLib::D1(Ufirst(1),L1,point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
-#ifdef DEB
- gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
-#endif
- point3 = ElCLib::Value(Ufirst(3),OnCirc);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Circ2d& OnCirc ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = RealFirst();
- Umin(4) = 0.;
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = RealLast();
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = 2.e-15*M_PI;
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- Standard_Real R1 = OnCirc.Radius();
- gp_Pnt2d point3(OnCirc.Location().XY()+R1*gp_XY(Cos(Param3),Sin(Param3)));
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Cu2,OnCirc,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// gp_Vec2d Tan1,Tan2,Nor1;
- gp_Vec2d Tan1,Tan2;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
-#ifdef DEB
- gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
-#endif
- point3 = gp_Pnt2d(OnCirc.Location().XY()+
- R1*gp_XY(Cos(Ufirst(3)),Sin(Ufirst(3))));
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle1,angle2;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = pnttg2sol.Distance(pnttg1sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const gp_Pnt2d& Point2 ,
- const gp_Circ2d& OnCirc ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = RealFirst();
- Umin(3) = 0.;
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = RealLast();
- Umax(3) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = 2.e-15*M_PI;
- tol(3) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point3 = ElCLib::Value(Param2,OnCirc);
- Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Point2,OnCirc,Ufirst(3));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Pnt2d point1,point3;
- gp_Vec2d Tan1,Tan3;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- ElCLib::D1(Ufirst(2),OnCirc,point3,Tan3);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(Point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real angle1;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = GccEnt_noqualifier;
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = Point2;
- pararg2 = 0.;
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheCurve& OnCurv ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(OnCurv);
- Umin(4) = 0.;
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(OnCurv);
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(OnCurv,Abs(Tolerance));
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = TheCurveTool::Value(OnCurv,Param3);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Cu2,OnCurv,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Vec2d Tan1,Tan2,Tan3;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle1,angle2;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = pnttg2sol.Distance(pnttg1sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheCurve& OnCurv ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real ParamOn ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Circ2d C1 = Qualified1.Qualified();
- Standard_Real R1 = C1.Radius();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(OnCurv);
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(OnCurv);
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = ParamOn;
- tol(1) = 2.e-15*M_PI;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(OnCurv,Abs(Tolerance));
- tol(4) = Tol/10.;;
- gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = TheCurveTool::Value(OnCurv,ParamOn);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(C1,Cu2,OnCurv,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Vec2d Tan1,Tan2,Tan3;
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
- ElCLib::D1(Ufirst(1),C1,point1,Tan1);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- gp_Dir2d dirx(1.,0.);
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1.XY(),point3.XY());
- gp_Vec2d Vec2(point2.XY(),point3.XY());
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real dist = C1.Location().Distance(point3);
- Standard_Real Rsol = cirsol.Radius();
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const GccEnt_QualifiedLin& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheCurve& OnCurv ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real ParamOn ,
- const Standard_Real Tolerance ) {
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- gp_Lin2d L1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- math_Vector Umin(1,4);
- math_Vector Umax(1,4);
- math_Vector Ufirst(1,4);
- math_Vector tol(1,4);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(OnCurv);
- Umin(4) = 0.;
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(OnCurv);
- Umax(4) = RealLast();
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = ParamOn;
- tol(1) = 1.e-15;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(OnCurv,Abs(Tolerance));
- tol(4) = Tol/10.;
- gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
- gp_Pnt2d point2 = TheCurveTool::Value(Cu2,Param2);
- gp_Pnt2d point3 = TheCurveTool::Value(OnCurv,ParamOn);
- Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(L1,Cu2,OnCurv,Ufirst(4));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- gp_Vec2d Tan1,Tan2,Tan3;
- ElCLib::D1(Ufirst(1),L1,point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- gp_Vec2d Vec2(point2,point3);
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real angle2;
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- angle2 = Vec2.Angle(Tan2);
- }
- else { angle2 = 0.; }
- Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&angle2<=0.)||
- (Qualified2.IsOutside() && angle2 >= 0) ||
- (Qualified2.IsEnclosed() && angle2 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = point2;
- pararg2 = Ufirst(2);
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d2TanOn::
- GccIter_Circ2d2TanOn (const TheQualifiedCurve& Qualified1 ,
- const gp_Pnt2d& Point2 ,
- const TheCurve& OnCurv ,
- const Standard_Real Param1 ,
- const Standard_Real ParamOn ,
- const Standard_Real Tolerance )
-{
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- parcen3 = 0.;
-
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Standard_Real Tol = Abs(Tolerance);
- gp_Dir2d dirx(1.,0.);
- TheCurve Cu1 = Qualified1.Qualified();
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = RealFirst();
- Umin(3) = TheCurveTool::FirstParameter(OnCurv);
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = RealLast();
- Umax(3) = TheCurveTool::LastParameter(OnCurv);
- Ufirst(1) = Param1;
- Ufirst(2) = ParamOn;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = TheCurveTool::EpsX(OnCurv,Abs(Tolerance));
- tol(3) = Tol/10.;
- gp_Pnt2d point1 = TheCurveTool::Value(Cu1,Param1);
- gp_Pnt2d point3 = TheCurveTool::Value(OnCurv,ParamOn);
- Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
- GccIter_FuncTCuCuOnCu Func(Cu1,Point2,OnCurv,Ufirst(3));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- Func.Value(Ufirst,Umin);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// gp_Vec2d Tan1,Tan2,Tan3;
- gp_Vec2d Tan1,Tan3;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- TheCurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
- Standard_Real dist1 = point3.Distance(point1);
- Standard_Real dist2 = point3.Distance(Point2);
- if ( Abs(dist1-dist2)/2. <= Tol) {
- cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
- Standard_Real normetan1 = Tan1.Magnitude();
- gp_Vec2d Vec1(point1,point3);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real angle1;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- angle1 = Vec1.Angle(Tan1);
- }
- else { angle1 = 0.; }
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&angle1<=0.)||
- (Qualified1.IsOutside() && angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = GccEnt_noqualifier;
- pnttg1sol = point1;
- pararg1 = Ufirst(1);
- par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
- pnttg2sol = Point2;
- pararg2 = 0.;
- par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
- pntcen = point3;
- parcen3 = Ufirst(3);
- WellDone = Standard_True;
- }
- }
- }
-}
-
-Standard_Boolean GccIter_Circ2d2TanOn::
- IsDone () const{ return WellDone; }
-
-gp_Circ2d GccIter_Circ2d2TanOn::
- ThisSolution () const{ return cirsol; }
-
-void GccIter_Circ2d2TanOn::
- WhichQualifier (GccEnt_Position& Qualif1 ,
- GccEnt_Position& Qualif2 ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- Qualif1 = qualifier1;
- Qualif2 = qualifier2;
- }
-}
-
-void GccIter_Circ2d2TanOn::
- Tangency1 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- if (TheSame1 == 0) {
- ParSol = 0;
- ParArg = 0;
- PntSol = pnttg1sol;
- }
- else { StdFail_NotDone::Raise(); }
- }
-}
-
-void GccIter_Circ2d2TanOn::
- Tangency2 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = 0;
- ParArg = 0;
- PntSol = pnttg2sol;
- }
-}
-
-void GccIter_Circ2d2TanOn::
- CenterOn3 (Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParArg = 0;
- PntSol = pntcen;
- }
-}
-
-Standard_Boolean GccIter_Circ2d2TanOn::
- IsTheSame1 () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
-
- if (TheSame1 == 0)
- return Standard_False;
- return Standard_True;
-}
-
-
-Standard_Boolean GccIter_Circ2d2TanOn::
- IsTheSame2 () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
- return Standard_False;
-}
+++ /dev/null
--- Created on: 1991-03-29
--- Created by: Remi GILET
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class Circ2d3Tan from GccIter (
- TheCurve as any;
- TheCurveTool as any; -- as CurveTool from GccInt (TheCurve)
- TheQualifiedCurve as any) -- as QualifiedCurve from GccEnt
- -- (TheCurve)
-
- ---Purpose: This class implements the algorithms used to
- -- create 2d circles tangent to 3 points/lines/circles/
- -- curves with one curve or more.
- -- The arguments of all construction methods are :
- -- - The three qualifiied elements for the
- -- tangency constrains (QualifiedCirc, QualifiedLine,
- -- Qualifiedcurv, Points).
- -- - A parameter for each QualifiedCurv.
-
--- inherits Entity from Standard
-
-uses Pnt2d from gp,
- Lin2d from gp,
- Circ2d from gp,
- QualifiedCirc from GccEnt,
- QualifiedLin from GccEnt,
- Position from GccEnt
-
-raises NotDone from StdFail
-
-private class FuncTCuCuCu instantiates FunctionTanCuCuCu from GccIter (
- TheCurve,TheCurveTool);
-is
-
-Create(Qualified1 : QualifiedCirc from GccEnt ;
- Qualified2 : QualifiedCirc from GccEnt ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to 2 circles and a curve.
-
-Create(Qualified1 : QualifiedCirc from GccEnt ;
- Qualified2 : TheQualifiedCurve ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a circle and 2 curves.
-
-Create(Qualified1 : QualifiedCirc from GccEnt ;
- Qualified2 : QualifiedLin from GccEnt ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a circle and a line and
- -- a curve.
-
-Create(Qualified1 : QualifiedCirc from GccEnt ;
- Qualified2 : TheQualifiedCurve ;
- Point3 : Pnt2d ;
- Param1 : Real ;
- Param2 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a circle and a point and
- -- a curve.
-
-Create(Qualified1 : QualifiedLin from GccEnt ;
- Qualified2 : QualifiedLin from GccEnt ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to 2 lines and a curve.
-
-Create(Qualified1 : QualifiedLin from GccEnt ;
- Qualified2 : TheQualifiedCurve ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a line and 2 curves.
-
-Create(Qualified1 : QualifiedLin from GccEnt ;
- Qualified2 : TheQualifiedCurve ;
- Point3 : Pnt2d ;
- Param1 : Real ;
- Param2 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a line and a curve
- -- and a point.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Point1 : Pnt2d ;
- Point2 : Pnt2d ;
- Param1 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to a curve and 2 points.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- Point2 : Pnt2d ;
- Param1 : Real ;
- Param2 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to 2 curves and a point.
-
-Create(Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- Qualified3 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Param3 : Real ;
- Tolerance : Real )
-returns Circ2d3Tan from GccIter;
- ---Purpose: This method implements the algorithms used to
- -- create 2d circles tangent to 3 curves.
-
--- -- ....................................................................
-
-IsDone(me) returns Boolean
-is static;
- ---Purpose: This method returns True if the construction
- -- algorithm succeeded.
-
-ThisSolution(me) returns Circ2d
- ---Purpose: Returns the solution.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-WhichQualifier(me ;
- Qualif1 : out Position from GccEnt;
- Qualif2 : out Position from GccEnt;
- Qualif3 : out Position from GccEnt)
-raises NotDone from StdFail
-is static;
- -- It returns the informations about the qualifiers of the tangency
- -- arguments concerning the solution number Index.
- -- It returns the real qualifiers (the qualifiers given to the
- -- constructor method in case of enclosed, enclosing and outside
- -- and the qualifiers computedin case of unqualified).
-
-Tangency1(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns informations about the tangency point between
- -- the result and the first argument.
- -- ParSol is the intrinsic parameter of the point PntSol
- -- on the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol
- -- on the argument curv.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-Tangency2(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns informations about the tangency point between
- -- the result and the second argument.
- -- ParSol is the intrinsic parameter of the point PntSol
- -- on the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol
- -- on the argument curv.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-Tangency3(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
- ---Purpose: Returns informations about the tangency point between
- -- the result and the third argument.
- -- ParSol is the intrinsic parameter of the point PntSol
- -- on the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol
- -- on the argument curv.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-IsTheSame1(me) returns Boolean
- -- Returns True if the solution is equal to the first argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-IsTheSame2(me) returns Boolean
- -- Returns True if the solution is equal to the second argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-IsTheSame3(me) returns Boolean
- -- Returns True if the solution is equal to the third argument.
-raises NotDone from StdFail
-is static;
- ---Purpose: It raises NotDone if the construction algorithm
- -- didn't succeed.
-
-fields
-
- WellDone : Boolean;
- ---Purpose: True if the algorithm succeeded.
-
- cirsol : Circ2d;
- ---Purpose: The solutions.
-
- qualifier1 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- qualifier2 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- qualifier3 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- TheSame1 : Boolean;
- ---Purpose: True if the solution and the first argument are identical.
- -- Two circles are identical if the difference between the
- -- radius of one and the sum of the radius of the other and
- -- the distance between the centers is less than Tolerance.
- -- False in the other cases.
-
- TheSame2 : Boolean;
- ---Purpose: True if the solution and the second argument are identical.
- -- Two circles are identical if the difference between the
- -- radius of one and the sum of the radius of the other and
- -- the distance between the centers is less than Tolerance.
- -- False in the other cases.
-
- TheSame3 : Boolean;
- ---Purpose: True if the solution and the third argument are identical.
- -- Two circles are identical if the difference between the
- -- radius of one and the sum of the radius of the other and
- -- the distance between the centers is less than Tolerance.
- -- False in the other cases.
-
- pnttg1sol : Pnt2d;
- ---Purpose: The tangency point between the solution and the first
- -- argument on the solution.
-
- pnttg2sol : Pnt2d;
- ---Purpose: The tangency point between the solution and the second
- -- argument on the solution.
-
- pnttg3sol : Pnt2d;
- ---Purpose: The tangency point between the solution and the third
- -- argument on the solution.
-
- par1sol : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the first argument on the solution.
-
- par2sol : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the second argument on the solution.
-
- par3sol : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the third argument on the solution.
-
- pararg1 : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the first argument on the first argument.
-
- pararg2 : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the second argument on the second argument.
-
- pararg3 : Real;
- ---Purpose: The parameter of the tangency point between the solution
- -- and the third argument on the second argument.
-
-end Circ2d3Tan;
+++ /dev/null
-// Created on: 1991-12-13
-// Created by: Remi GILET
-// Copyright (c) 1991-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-//=========================================================================
-// Creation d un cercle tangent a deux elements : Droite. +
-// Cercle. +
-// Point. +
-// Courbes. +
-// centre sur un troisieme : Droite. +
-// Cercle. +
-// Courbes. +
-//=========================================================================
-
-#include <gp_Dir2d.hxx>
-#include <gp_Ax2d.hxx>
-#include <gp_Vec2d.hxx>
-#include <gp.hxx>
-#include <StdFail_NotDone.hxx>
-#include <GccEnt_BadQualifier.hxx>
-#include <math_FunctionSetRoot.hxx>
-#include <math_NewtonFunctionSetRoot.hxx>
-#include <GccAna_Circ2d3Tan.hxx>
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(Cu1,Cu2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d point1,point2,point3;
- gp_Vec2d Tan1,Tan2,Tan3;
- TheCurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre = cirsol.Location();
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- Standard_Real Angle1 = Vec1.Angle(Tan1);
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&Angle1<=0.)||
- (Qualified1.IsOutside() && Angle1 >= 0.) ||
- (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
- Angle1 = Vec2.Angle(Tan2);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&Angle1<=0.)||
- (Qualified2.IsOutside() && Angle1 >= 0) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
- Angle1 = Vec3.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = pnttg2sol.Distance(pnttg1sol);
- pnttg3sol = point3;
- pararg3 = Ufirst(3);
- par3sol = pnttg3sol.Distance(pnttg1sol);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Circ2d C1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(C1,Cu2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = 2*M_PI;
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 2.e-15*M_PI;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(C1.Location());
- Standard_Real R1 = C1.Radius();
- gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
- gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1))));
- gp_Pnt2d point2,point3;
-// gp_Vec2d Tan2,Tan3,Nor2,Nor3;
- gp_Vec2d Tan2,Tan3;
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- Standard_Real dist = centre1.Distance(centre);
- Standard_Real Rsol = cirsol.Radius();
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- Standard_Real Angle1 = Vec2.Angle(Tan2);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&Angle1<=0.)||
- (Qualified2.IsOutside() && Angle1 >= 0) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
- Angle1 = Vec3.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = Ufirst(3);
- pnttg3sol = point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedCirc& Qualified1 ,
- const GccEnt_QualifiedCirc& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Circ2d C1 = Qualified1.Qualified();
- gp_Circ2d C2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(C1,C2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(2) = 0.;
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = 2*M_PI;
- Umax(2) = 2*M_PI;
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 2.e-15*M_PI;
- tol(2) = 2.e-15*M_PI;
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(C1.Location());
- Standard_Real R1 = C1.Radius();
- gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
- gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1))));
- gp_Pnt2d centre2(C2.Location());
- Standard_Real R2 = C2.Radius();
- gp_Pnt2d point2(centre2.XY()+R2*gp_XY(Cos(Ufirst(2)),Sin(Ufirst(2))));
- gp_Vec2d Tan2(gp_XY(-Sin(Ufirst(2)),Cos(Ufirst(2))));
- gp_Pnt2d point3;
- gp_Vec2d Tan3;
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- Standard_Real dist = centre1.Distance(centre);
- Standard_Real Rsol = cirsol.Radius();
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- dist = centre2.Distance(centre);
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R2 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R2 && dist <= Rsol)) {
- gp_Vec2d Vec(point3,centre);
- Standard_Real Angle1 = Vec.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = Ufirst(3);
- pnttg3sol = point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedLin& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Lin2d L1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(L1,Cu2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = RealFirst();
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = RealLast();
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 1.e-15;
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(L1.Location());
- gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY());
- gp_Pnt2d point2,point3;
- gp_Vec2d Tan2,Tan3;
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
-
- // creation vaariables intermediaires pour WNT
- gp_XY dummy1 = centre.XY()-L1.Location().XY();
- gp_XY dummy2 (-L1.Direction().Y(),L1.Direction().X());
- Standard_Real pscal=dummy1.Dot(dummy2);
-
- gp_Vec2d Tan1(L1.Direction().XY());
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- gp_Vec2d Vec(point2,centre);
- Standard_Real Angle1 = Vec.Angle(Tan2);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&Angle1<=0.)||
- (Qualified2.IsOutside() && Angle1 >= 0) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
- Vec = gp_Vec2d(point3,centre);
- Angle1 = Vec.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = Ufirst(3);
- pnttg3sol = point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedLin& Qualified1 ,
- const GccEnt_QualifiedLin& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ){
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Lin2d L1 = Qualified1.Qualified();
- gp_Lin2d L2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(L1,L2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = RealFirst();
- Umin(2) = RealFirst();
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = RealLast();
- Umax(2) = RealLast();
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 1.e-15;
- tol(2) = 1.e-15;
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(L1.Location());
- gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY());
- gp_Pnt2d centre2(L2.Location());
- gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY());
- gp_Pnt2d point3;
- gp_Vec2d Tan3;
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- gp_Vec2d Tan1(L1.Direction().XY());
- gp_Vec2d Tan2(L2.Direction().XY());
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsOutside() && pscal <= 0.) ||
- (Qualified2.IsEnclosed() && pscal >= 0.)) {
- Standard_Real Angle1 = Vec3.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = Ufirst(3);
- pnttg3sol = point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Pnt2d& Point3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Circ2d C1(gp_Ax2d(Point3,gp_Dir2d(1.,0.)),0.);
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- GccIter_FuncTCuCuCu Func(C1,Cu1,Cu2);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(2) = TheCurveTool::FirstParameter(Cu1);
- Umin(3) = TheCurveTool::FirstParameter(Cu2);
- Umax(1) = 2*M_PI;
- Umax(2) = TheCurveTool::LastParameter(Cu1);
- Umax(3) = TheCurveTool::LastParameter(Cu2);
- Ufirst(1) = M_PI;
- Ufirst(2) = Param1;
- Ufirst(3) = Param2;
- tol(1) = 2.e-15*M_PI;
- tol(2) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- tol(3) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d point1,point2;
-// gp_Vec2d Tan1,Tan2,Nor1,Nor2;
- gp_Vec2d Tan1,Tan2;
- TheCurveTool::D1(Cu1,Ufirst(2),point1,Tan1);
- TheCurveTool::D1(Cu2,Ufirst(3),point2,Tan2);
- GccAna_Circ2d3Tan circ(Point3,point1,point2,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1)));
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(Point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- Standard_Real Angle1 = Vec1.Angle(Tan1);
- if (Qualified1.IsUnqualified()||
- (Qualified1.IsEnclosing()&&Angle1<=0.)||
- (Qualified1.IsOutside() && Angle1 >= 0) ||
- (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
- Angle1 = Vec2.Angle(Tan2);
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing()&&Angle1<=0.)||
- (Qualified1.IsOutside() && Angle1 >= 0) ||
- (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = GccEnt_noqualifier;
- pararg1 = Ufirst(2);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(3);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = 0.;
- pnttg3sol = Point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const TheQualifiedCurve& Qualified1 ,
- const gp_Pnt2d& Point2 ,
- const gp_Pnt2d& Point3 ,
- const Standard_Real Param1 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Dir2d dirx(1.,0.);
- gp_Circ2d C1(gp_Ax2d(Point2,dirx),0.);
- gp_Circ2d C2(gp_Ax2d(Point3,dirx),0.);
- TheCurve Cu1 = Qualified1.Qualified();
- GccIter_FuncTCuCuCu Func(C1,C2,Cu1);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(2) = 0.;
- Umin(3) = TheCurveTool::FirstParameter(Cu1);
- Umax(1) = 2*M_PI;
- Umax(2) = 2*M_PI;
- Umax(3) = TheCurveTool::LastParameter(Cu1);
- Ufirst(1) = M_PI;
- Ufirst(2) = M_PI;
- Ufirst(3) = Param1;
- tol(1) = 2.e-15*M_PI;
- tol(2) = 2.e-15*M_PI;
- tol(3) = TheCurveTool::EpsX(Cu1,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d point3;
-// gp_Vec2d Tan3,Nor3;
- gp_Vec2d Tan3;
- TheCurveTool::D1(Cu1,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(Point2,Point3,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- gp_Vec2d Tan2(-Sin(Ufirst(2)),Cos(Ufirst(2)));
- gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(Point2,centre);
- gp_Vec2d Vec2(Point3,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- Standard_Real Angle1 = Vec1.Angle(Tan1);
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing()&&Angle1<=0.)||
- (Qualified1.IsOutside() && Angle1 >= 0) ||
- (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = GccEnt_noqualifier;
- qualifier3 = GccEnt_noqualifier;
- pararg1 = Ufirst(3);
- par1sol = 0.;
- pnttg1sol = point3;
- pararg2 = 0.;
- pnttg2sol = Point2;
- par2sol = 0.;
- pararg3 = 0.;
- pnttg3sol = Point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedLin& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Pnt2d& Point3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Dir2d dirx(1.,0.);
- gp_Lin2d L1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.);
- GccIter_FuncTCuCuCu Func(C3,L1,Cu2);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(2) = RealFirst();
- Umin(3) = TheCurveTool::FirstParameter(Cu2);
- Umin(1) = 0.;
- Umax(2) = RealLast();
- Umax(3) = TheCurveTool::LastParameter(Cu2);
- Umax(1) = 2*M_PI;
- Ufirst(2) = Param1;
- Ufirst(3) = Param2;
- Ufirst(1) = M_PI;
- tol(1) = 2.e-15;
- tol(2) = 1.e-15;
- tol(3) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(L1.Location());
- gp_Pnt2d point1(centre1.XY()+Ufirst(2)*L1.Direction().XY());
- gp_Pnt2d point2;
- gp_Vec2d Tan2;
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
- L1.Direction().X()));
- gp_Vec2d Tan1(L1.Direction().XY());
- gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1)));
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(Point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && pscal <= 0.) ||
- (Qualified1.IsEnclosed() && pscal >= 0.)) {
- Standard_Real Angle1 = Vec2.Angle(Tan2);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&Angle1<=0.)||
- (Qualified2.IsOutside() && Angle1 >= 0) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = GccEnt_noqualifier;
- pararg1 = Ufirst(2);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(3);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = 0.;
- pnttg3sol = Point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedCirc& Qualified1 ,
- const GccEnt_QualifiedLin& Qualified2 ,
- const TheQualifiedCurve& Qualified3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Param3 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
- !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
- Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- gp_Circ2d C1 = Qualified1.Qualified();
- gp_Lin2d L2 = Qualified2.Qualified();
- TheCurve Cu3 = Qualified3.Qualified();
- GccIter_FuncTCuCuCu Func(C1,L2,Cu3);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(2) = RealFirst();
- Umin(3) = TheCurveTool::FirstParameter(Cu3);
- Umax(1) = 2*M_PI;
- Umax(2) = RealLast();
- Umax(3) = TheCurveTool::LastParameter(Cu3);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- Ufirst(3) = Param3;
- tol(1) = 2.e-15*M_PI;
- tol(2) = 1.e-15;
- tol(3) = TheCurveTool::EpsX(Cu3,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Func.Value(Ufirst,Umin);
- Root.Root(Ufirst);
- gp_Pnt2d centre1(C1.Location());
- Standard_Real R1 = C1.Radius();
- gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
- gp_Pnt2d centre2(L2.Location());
- gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY());
- gp_Pnt2d point3;
- gp_Vec2d Tan3;
- TheCurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
- GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
- gp_Vec2d Tan2(L2.Direction().XY());
- Standard_Real normetan1 = Tan1.Magnitude();
- Standard_Real normetan2 = Tan2.Magnitude();
- Standard_Real normetan3 = Tan3.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- Standard_Real dist = centre1.Distance(centre);
- Standard_Real Rsol = cirsol.Radius();
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- Standard_Real pscal=centre.XY().Dot(gp_XY(-L2.Direction().Y(),
- L2.Direction().X()));
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsOutside() && pscal <= 0.) ||
- (Qualified2.IsEnclosed() && pscal >= 0.)) {
- Standard_Real Angle1 = Vec3.Angle(Tan3);
- if (Qualified3.IsUnqualified() ||
- (Qualified3.IsEnclosing()&&Angle1<=0.)||
- (Qualified3.IsOutside() && Angle1 >= 0) ||
- (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = Qualified3.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = Ufirst(3);
- pnttg3sol = point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
- }
-
-GccIter_Circ2d3Tan::
- GccIter_Circ2d3Tan (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const gp_Pnt2d& Point3 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolerance ) {
-
- TheSame1 = Standard_False;
- TheSame2 = Standard_False;
- TheSame3 = Standard_False;
- par1sol = 0.;
- par2sol = 0.;
- par3sol = 0.;
- pararg1 = 0.;
- pararg2 = 0.;
- pararg3 = 0.;
-
- Standard_Real Tol = Abs(Tolerance);
- WellDone = Standard_False;
- 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();
- TheCurve Cu2 = Qualified2.Qualified();
- gp_Dir2d dirx(1.,0.);
- gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.);
- GccIter_FuncTCuCuCu Func(C1,C3,Cu2);
- math_Vector Umin(1,3);
- math_Vector Umax(1,3);
- math_Vector Ufirst(1,3);
- math_Vector tol(1,3);
- Umin(1) = 0.;
- Umin(3) = TheCurveTool::FirstParameter(Cu2);
- Umin(2) = 0.;
- Umax(1) = 2*M_PI;
- Umax(3) = TheCurveTool::LastParameter(Cu2);
- Umax(2) = 2*M_PI;
- Ufirst(1) = Param1;
- Ufirst(2) = M_PI;
- Ufirst(3) = Param2;
- tol(1) = 2.e-15*M_PI;
- tol(2) = 2.e-15*M_PI;
- tol(3) = TheCurveTool::EpsX(Cu2,Abs(Tolerance));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
- Func.Value(Ufirst,Umin);
- gp_Pnt2d centre1(C1.Location());
- Standard_Real R1 = C1.Radius();
- gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
- gp_Pnt2d point2;
-// gp_Vec2d Tan2,Nor2;
- gp_Vec2d Tan2;
- TheCurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
- GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol);
- if (circ.IsDone()) {
- cirsol = circ.ThisSolution(1);
- gp_Pnt2d centre(cirsol.Location());
- gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
- gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
- Standard_Real normetan2 = Tan2.Magnitude();
- gp_Vec2d Vec1(point1,centre);
- gp_Vec2d Vec2(point2,centre);
- gp_Vec2d Vec3(Point3,centre);
- Standard_Real normevec1 = Vec1.Magnitude();
- Standard_Real normevec2 = Vec2.Magnitude();
- Standard_Real normevec3 = Vec3.Magnitude();
- Standard_Real dot1,dot2,dot3;
- if (normevec1 >= gp::Resolution()) {
- dot1 = Vec1.Dot(Tan1)/(normevec1);
- }
- else { dot1 = 0.; }
- if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
- dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
- }
- else { dot2 = 0.; }
- if (normevec3 >= gp::Resolution()) {
- dot3 = Vec3.Dot(Tan3)/(normevec3);
- }
- else { dot3 = 0.; }
- Tol = 1.e-12;
- if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
- Standard_Real dist = centre1.Distance(centre);
- Standard_Real Rsol = cirsol.Radius();
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
- (Qualified1.IsOutside() && dist >= Rsol) ||
- (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
- Standard_Real Angle1 = Vec2.Angle(Tan2);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing()&&Angle1<=0.)||
- (Qualified2.IsOutside() && Angle1 >= 0) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- qualifier3 = GccEnt_noqualifier;
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = 0.;
- pararg3 = 0.;
- pnttg3sol = Point3;
- par3sol = 0.;
- WellDone = Standard_True;
- }
- }
- }
- }
- }
- }
-
-Standard_Boolean GccIter_Circ2d3Tan::
- IsDone () const{ return WellDone; }
-
-gp_Circ2d GccIter_Circ2d3Tan::
- ThisSolution () const{ return cirsol; }
-
-void GccIter_Circ2d3Tan::
- WhichQualifier (GccEnt_Position& Qualif1 ,
- GccEnt_Position& Qualif2 ,
- GccEnt_Position& Qualif3 ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- Qualif1 = qualifier1;
- Qualif2 = qualifier2;
- Qualif3 = qualifier3;
- }
-}
-
-void GccIter_Circ2d3Tan::
- Tangency1 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- if (TheSame1 == 0) {
- ParSol = par1sol;
- ParArg = pararg1;
- PntSol = pnttg1sol;
- }
- else { StdFail_NotDone::Raise(); }
- }
- }
-
-void GccIter_Circ2d3Tan::
- Tangency2 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = par2sol;
- ParArg = pararg2;
- PntSol = pnttg2sol;
- }
- }
-
-void GccIter_Circ2d3Tan::
- Tangency3 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = par3sol;
- ParArg = pararg3;
- PntSol = pnttg3sol;
- }
- }
-
-Standard_Boolean GccIter_Circ2d3Tan::
- IsTheSame1 () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
-
- if (TheSame1 == 0)
- return Standard_False;
-
- return Standard_True;
-}
-
-
-Standard_Boolean GccIter_Circ2d3Tan::
- IsTheSame2 () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
-
- if (TheSame3 == 0)
- return Standard_False;
-
- return Standard_True;
-
-}
-
-Standard_Boolean GccIter_Circ2d3Tan::
- IsTheSame3 () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
-
- return Standard_True;
-}
+++ /dev/null
--- Created on: 1992-02-20
--- Created by: Remy GILET
--- Copyright (c) 1992-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanCirCu from GccIter (
- TheCurve as any;
- TheCurveTool as any) -- as CurvePGTool from GccInt(TheCurve)
-
-inherits FunctionWithDerivative from math
-
- ---Purpose: This abstract class describes a Function of 1 Variable
- -- used to find a line tangent to a curve and a circle.
-
-uses Circ2d from gp
-
-is
-
-Create (Circ : Circ2d from gp ;
- Curv : TheCurve ) returns FunctionTanCirCu from GccIter;
-
-Value (me : in out ;
- X : Real ;
- F : out Real ) returns Boolean;
- ---Purpose: Computes the value of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Derivative (me : in out ;
- X : Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the derivative of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Values (me : in out ;
- X : Real ;
- F : out Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the value and the derivative of the function F
- -- for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-fields
-
-TheCirc : Circ2d from gp;
-Curve : TheCurve;
--- Modified by Sergey KHROMOV - Thu Apr 5 09:50:18 2001 Begin
-myWeight : Real;
--- Modified by Sergey KHROMOV - Thu Apr 5 09:50:19 2001 End
-
-end FunctionTanCirCu;
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <gp_Vec2d.hxx>
-#include <gp_Pnt2d.hxx>
-#include <gp_Vec.hxx>
-#include <gp_Pnt.hxx>
-
-//=========================================================================
-// soit P1 le point sur la courbe TheCurve d abscisse u. +
-// soit C le centre du cercle TheCirc. +
-// Nous recherchons un point P2 appartenant au cercle tel que : +
-// ---> --> +
-// * P1P2 . CP2 = 0 +
-// +
-// * --> 2 2 +
-// ||CP2|| = R +
-// Nous cherchons donc les zeros de la fonction suivante: +
-// --> --> 2 +
-// --> 2 ( CP1 . T ) 2 +
-// ||CP1|| - ----------- - R = F(u) +
-// --> 2 +
-// ||T|| +
-// +
-// La derivee de cette fonction est : +
-// +
-// 2*(CP1.T)(CP1.N) 2*(CP1.T)*(CP1.T)*T.N +
-// f(u) = - ---------------- + --------------------- +
-// T.T (T.T)*(T.T) +
-//=========================================================================
-// +
-// skv: Small addition: The function and the derivative are normalized +
-// by an average square distance between the circle +
-// and the curve. +
-//=========================================================================
-
-GccIter_FunctionTanCirCu::
- GccIter_FunctionTanCirCu(const gp_Circ2d& Circ ,
- const TheCurve& Curv ) {
- Curve = Curv;
- TheCirc = Circ;
-
-// Modified by Sergey KHROMOV - Thu Apr 5 09:51:21 2001 Begin
- Standard_Integer aNbSamp = TheCurveTool::NbSamples(Curve);
- Standard_Real aFirst = TheCurveTool::FirstParameter(Curve);
- Standard_Real aLast = TheCurveTool::LastParameter(Curve);
- Standard_Real aStep = (aLast - aFirst)/aNbSamp;
- Standard_Real anX = aFirst + aStep/2.;
- Standard_Integer aNbP = 0;
- gp_XY aLoc(0., 0.);
-
- while (anX <= aLast) {
- aLoc += (TheCurveTool::Value(Curve, anX)).XY();
- anX += aStep;
- aNbP++;
- }
- myWeight = Max((aLoc - TheCirc.Location().XY()).SquareModulus(), TheCirc.Radius());
-// Modified by Sergey KHROMOV - Thu Apr 5 09:51:25 2001 End
- }
-
-
-Standard_Boolean GccIter_FunctionTanCirCu::
- Value (const Standard_Real X ,
- Standard_Real& Fval ) {
- gp_Pnt2d Point;
- gp_Vec2d Vect1;
- TheCurveTool::D1(Curve,X,Point,Vect1);
- Standard_Real NormeD1 = Vect1.Magnitude();
- gp_Vec2d TheDirection(TheCirc.Location(),Point);
- Standard_Real squaredir = TheDirection.Dot(TheDirection);
- Standard_Real R = TheCirc.Radius();
- Fval = squaredir-R*R-
- (TheDirection.Dot(Vect1))*(TheDirection.Dot(Vect1))/(NormeD1*NormeD1);
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:05 2001 Begin
- Fval /= myWeight;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:06 2001 End
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCirCu::
- Derivative (const Standard_Real X ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vect1,Vect2;
- TheCurveTool::D2(Curve,X,Point,Vect1,Vect2);
- Standard_Real NormeD1 = Vect1.SquareMagnitude();
- gp_Vec2d TheDirection(TheCirc.Location(),Point);
- Standard_Real cp1dott = TheDirection.Dot(Vect1);
- Deriv = -2.*(cp1dott/NormeD1)*
- ((TheDirection.Dot(Vect2))-cp1dott*Vect1.Dot(Vect2)/NormeD1);
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:15 2001 Begin
- Deriv /= myWeight;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:15 2001 End
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCirCu::
- Values (const Standard_Real X ,
- Standard_Real& Fval ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vect1,Vect2;
- TheCurveTool::D2(Curve,X,Point,Vect1,Vect2);
- Standard_Real NormeD1 = Vect1.SquareMagnitude();
- gp_Vec2d TheDirection(TheCirc.Location(),Point);
- Standard_Real squaredir = TheDirection.SquareMagnitude();
- Standard_Real cp1dott = TheDirection.Dot(Vect1);
- Standard_Real R = TheCirc.Radius();
-
- Fval = squaredir-R*R-cp1dott*cp1dott/NormeD1;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:28 2001 Begin
- Fval /= myWeight;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:38:28 2001 End
-
- Deriv = -2.*(cp1dott/NormeD1)*
- ((TheDirection.Dot(Vect2))-cp1dott*Vect1.Dot(Vect2)/NormeD1);
-// Modified by Sergey KHROMOV - Thu Apr 5 17:37:36 2001 Begin
- Deriv /= myWeight;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:37:37 2001 End
- return Standard_True;
-}
+++ /dev/null
--- Created on: 1992-02-20
--- Created by: Remy GILET
--- Copyright (c) 1992-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanCuCu from GccIter (
- TheCurve as any;
- TheCurveTool as any) -- as CurvePGTool from GccInt (TheCurve)
-
-inherits FunctionSetWithDerivatives from math
-
- ---Purpose: This abstract class describes a Function of 1 Variable
- -- used to find a line tangent to two curves.
-
-uses Vector from math,
- Matrix from math,
- Circ2d from gp,
- Pnt2d from gp,
- Vec2d from gp,
- Type3 from GccIter
-
-
-raises ConstructionError
-
-is
-
-Create (Curv1 : TheCurve ;
- Curv2 : TheCurve ) returns FunctionTanCuCu from GccIter;
-
-Create (Circ1 : Circ2d from gp ;
- Curv2 : TheCurve ) returns FunctionTanCuCu from GccIter;
-
-InitDerivative(me : in out ;
- X : Vector from math ;
- Point1,Point2 : out Pnt2d from gp ;
- Tan1,Tan2,D21,D22 : out Vec2d from gp )
-raises ConstructionError
-is static;
-
-NbVariables(me) returns Integer;
- ---Purpose: returns the number of variables of the function.
-
-NbEquations(me) returns Integer;
- ---Purpose: returns the number of equations of the function.
-
-Value (me : in out ;
- X : Vector from math;
- F : out Vector from math) returns Boolean;
- ---Purpose: Computes the value of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Derivatives (me : in out ;
- X : Vector from math;
- Deriv : out Matrix from math) returns Boolean;
- ---Purpose: Computes the derivative of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Values (me : in out ;
- X : Vector from math;
- F : out Vector from math;
- Deriv : out Matrix from math) returns Boolean;
- ---Purpose: Computes the value and the derivative of the function F
- -- for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-fields
-
-TheCurve1 : TheCurve ;
-TheCurve2 : TheCurve ;
-TheCirc1 : Circ2d from gp ;
-TheType : Type3 from GccIter ;
-
-end FunctionTanCuCu;
-
-
-
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <gp_Vec2d.hxx>
-#include <gp_Pnt2d.hxx>
-#include <ElCLib.hxx>
-
-void GccIter_FunctionTanCuCu::
- InitDerivative(const math_Vector& X ,
- gp_Pnt2d& Point1,
- gp_Pnt2d& Point2,
- gp_Vec2d& Tan1 ,
- gp_Vec2d& Tan2 ,
- gp_Vec2d& D21 ,
- gp_Vec2d& D22 ) {
- switch (TheType) {
- case GccIter_CuCu:
- {
- TheCurveTool::D2(TheCurve1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(TheCurve2,X(2),Point2,Tan2,D22);
- }
- break;
- case GccIter_CiCu:
- {
- ElCLib::D2(X(1),TheCirc1,Point1,Tan1,D21);
- TheCurveTool::D2(TheCurve2,X(2),Point2,Tan2,D22);
- }
- break;
- default:
- {
- }
- }
-}
-
-GccIter_FunctionTanCuCu::
- GccIter_FunctionTanCuCu(const TheCurve& C1 ,
- const TheCurve& C2 ) {
- TheCurve1 = C1;
- TheCurve2 = C2;
- TheType = GccIter_CuCu;
-}
-
-GccIter_FunctionTanCuCu::
- GccIter_FunctionTanCuCu(const gp_Circ2d& C1 ,
- const TheCurve& C2 ) {
- TheCirc1 = C1;
- TheCurve2 = C2;
- TheType = GccIter_CiCu;
-}
-
-
-//=========================================================================
-// soit P1 le point sur la courbe TheCurve1 d abscisse u1. +
-// soit P2 le point sur la courbe TheCurve2 d abscisse u2. +
-// soit T1 la tangente a la courbe TheCurve1 en P1. +
-// soit T2 la tangente a la courbe TheCurve2 en P2. +
-// Nous voulons P1 et P2 tels que : +
-// ---> --> +
-// * P1P2 /\ T1 = 0 +
-// +
-// --> --> +
-// * T1 /\ T2 = 0 +
-// +
-// Nous cherchons donc les zeros des fonctions suivantes: +
-// ---> --> +
-// * P1P2 /\ T1 +
-// --------------- = F1(u) +
-// ---> --> +
-// ||P1P2||*||T1|| +
-// +
-// --> --> +
-// * T1 /\ T2 +
-// --------------- = F2(u) +
-// --> --> +
-// ||T2||*||T1|| +
-// +
-// Les derivees de ces fonctions sont : +
-// 2 2 +
-// dF1 P1P2/\N1 (P1P2/\T1)*[T1*(-T1).P1P2+P1P2*(T1.N1)] +
-// ----- = --------------- - ----------------------------------------- +
-// du1 3 3 +
-// ||P1P2||*||T1|| ||P1P2|| * ||T1|| +
-// +
-// 2 +
-// dF1 T2/\T1 (P1P2/\T1)*[T1*(T2.P1P2) +
-// ----- = --------------- - ----------------------------------------- +
-// du2 3 3 +
-// ||P1P2||*||T1|| ||P1P2|| * ||T1|| +
-// +
-// 2 +
-// dF2 N1/\T2 T1/\T2*(N1.T1)T2 +
-// ----- = ---------------- - ----------------------------- +
-// du1 3 3 +
-// ||T1||*||T2|| ||T1|| * ||T2|| +
-// +
-// 2 +
-// dF2 T1/\N2 T1/\T2*(N2.T2)T1 +
-// ----- = ---------------- - ----------------------------- +
-// du2 3 3 +
-// ||T1||*||T2|| ||T1|| * ||T2|| +
-// +
-//=========================================================================
-
-Standard_Integer GccIter_FunctionTanCuCu::
- NbVariables() const { return 2; }
-
-Standard_Integer GccIter_FunctionTanCuCu::
- NbEquations() const { return 2; }
-
-Standard_Boolean GccIter_FunctionTanCuCu::
- Value (const math_Vector& X ,
- math_Vector& Fval ) {
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Vec2d Vect11;
- gp_Vec2d Vect21;
- gp_Vec2d Vect12;
- gp_Vec2d Vect22;
- InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
- Standard_Real NormeD11 = Vect11.Magnitude();
- Standard_Real NormeD21 = Vect21.Magnitude();
- gp_Vec2d TheDirection(Point1,Point2);
- Standard_Real squaredir = TheDirection.Dot(TheDirection);
- Fval(1) = TheDirection.Crossed(Vect11)/(NormeD11*squaredir);
- Fval(2) = Vect11.Crossed(Vect21)/(NormeD11*NormeD21);
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuCu::
- Derivatives (const math_Vector& X ,
- math_Matrix& Deriv ) {
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Vec2d Vect11;
- gp_Vec2d Vect21;
- gp_Vec2d Vect12;
- gp_Vec2d Vect22;
- InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
- Standard_Real NormeD11 = Vect11.Magnitude();
- Standard_Real NormeD21 = Vect21.Magnitude();
-#ifdef DEB
- gp_Vec2d V2V1(Vect11.XY(),Vect21.XY());
-#else
- Vect11.XY();
- Vect21.XY();
-#endif
- gp_Vec2d TheDirection(Point1,Point2);
- Standard_Real squaredir = TheDirection.Dot(TheDirection);
- Deriv(1,1) = TheDirection.Crossed(Vect12)/(NormeD11*squaredir)+
- (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect11.Dot(TheDirection))/
- (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
- Deriv(1,2) = Vect21.Crossed(Vect11)/(NormeD11*squaredir)-
- (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect21.Dot(TheDirection))/
- (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
- Deriv(2,1)=(Vect12.Crossed(Vect21))/(NormeD11*NormeD21)-
- (Vect11.Crossed(Vect21))*(Vect12.Dot(Vect11))*NormeD21*NormeD21/
- (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
- Deriv(2,2)=(Vect11.Crossed(Vect22))/(NormeD11*NormeD21)-
- (Vect11.Crossed(Vect21))*(Vect22.Dot(Vect21))*NormeD11*NormeD11/
- (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuCu::
- Values (const math_Vector& X ,
- math_Vector& Fval ,
- math_Matrix& Deriv ) {
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Vec2d Vect11;
- gp_Vec2d Vect21;
- gp_Vec2d Vect12;
- gp_Vec2d Vect22;
- InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
- Standard_Real NormeD11 = Vect11.Magnitude();
- Standard_Real NormeD21 = Vect21.Magnitude();
-#ifdef DEB
- gp_Vec2d V2V1(Vect11.XY(),Vect21.XY());
-#else
- Vect11.XY();
- Vect21.XY();
-#endif
- gp_Vec2d TheDirection(Point1,Point2);
- Standard_Real squaredir = TheDirection.Dot(TheDirection);
- Fval(1) = TheDirection.Crossed(Vect11)/(NormeD11*squaredir);
- Fval(2) = Vect11.Crossed(Vect21)/(NormeD11*NormeD21);
- Deriv(1,1) = TheDirection.Crossed(Vect12)/(NormeD11*squaredir)+
- (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect11.Dot(TheDirection))/
- (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
- Deriv(1,2) = Vect21.Crossed(Vect11)/(NormeD11*squaredir)-
- (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect21.Dot(TheDirection))/
- (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
- Deriv(2,1)=(Vect12.Crossed(Vect21))/(NormeD11*NormeD21)-
- (Vect11.Crossed(Vect21))*(Vect12.Dot(Vect11))*NormeD21*NormeD21/
- (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
- Deriv(2,2)=(Vect11.Crossed(Vect22))/(NormeD11*NormeD21)-
- (Vect11.Crossed(Vect21))*(Vect22.Dot(Vect21))*NormeD11*NormeD11/
- (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
- return Standard_True;
-}
+++ /dev/null
--- Created on: 1991-05-13
--- Created by: Laurent PAINNOT
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanCuCuCu from GccIter(
- TheCurve as any;
- TheCurveTool as any) -- as CurvePGTool from GccInt (TheCurve)
-
-inherits FunctionSetWithDerivatives from math
-
- ---Purpose: This abstract class describes a set on N Functions of
- -- M independant variables.
-
-uses Vector from math,
- Matrix from math,
- Circ2d from gp,
- Lin2d from gp,
- Pnt2d from gp,
- Vec2d from gp,
- Type1 from GccIter
-
-raises ConstructionError
-
-is
-
- Create (C1 : TheCurve ;
- C2 : TheCurve ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : TheCurve ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : Circ2d from gp ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- L2 : Lin2d from gp ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- L2 : Lin2d from gp ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- C2 : TheCurve ;
- C3 : TheCurve ) returns FunctionTanCuCuCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : TheCurve ;
- P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- C2 : TheCurve ;
- P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from GccIter;
-
- Create (C1 : TheCurve ;
- P2 : Pnt2d from gp ;
- P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from GccIter;
-
-InitDerivative(me : in out ;
- X : Vector from math ;
- Point1,Point2,Point3 : out Pnt2d from gp ;
- Tan1,Tan2,Tan3,D21,D22,D23 : out Vec2d from gp )
-raises ConstructionError
-is static;
-
- NbVariables(me) returns Integer;
- ---Purpose: Returns the number of variables of the function.
-
- NbEquations(me) returns Integer;
- ---Purpose: Returns the number of equations of the function.
-
- Value(me : in out ;
- X : Vector from math;
- F : out Vector from math) returns Boolean;
- ---Purpose: Computes the values of the Functions for the variable <X>.
-
- Derivatives(me : in out ;
- X : Vector from math;
- D : out Matrix from math) returns Boolean;
- ---Purpose: Returns the values of the derivatives for the variable <X>.
-
- Values(me : in out ;
- X : Vector from math;
- F : out Vector from math;
- D : out Matrix from math) returns Boolean;
- ---Purpose: Returns the values of the functions and the derivatives
- -- for the variable <X>.
-
-fields
-
-Curv1 : TheCurve ;
-Curv2 : TheCurve ;
-Curv3 : TheCurve ;
-Circ1 : Circ2d from gp ;
-Circ2 : Circ2d from gp ;
-Lin1 : Lin2d from gp ;
-Lin2 : Lin2d from gp ;
-TheType : Type1 from GccIter;
-
-end FunctionTanCuCuCu;
-
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <Standard_ConstructionError.hxx>
-#include <ElCLib.hxx>
-#include <gp.hxx>
-
-void GccIter_FunctionTanCuCuCu::
- InitDerivative(const math_Vector& X,
- gp_Pnt2d& Point1,
- gp_Pnt2d& Point2,
- gp_Pnt2d& Point3,
- gp_Vec2d& Tan1,
- gp_Vec2d& Tan2,
- gp_Vec2d& Tan3,
- gp_Vec2d& D21,
- gp_Vec2d& D22,
- gp_Vec2d& D23) {
- switch (TheType) {
- case GccIter_CiCuCu:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_CiCiCu:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- ElCLib::D2(X(2),Circ2,Point2,Tan2,D22);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_CiLiCu:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- ElCLib::D1(X(2),Lin2,Point2,Tan2);
- D22 = gp_Vec2d(0.,0.);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_LiCuCu:
- {
- ElCLib::D1(X(1),Lin1,Point1,Tan1);
- D21 = gp_Vec2d(0.,0.);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_LiLiCu:
- {
- ElCLib::D1(X(1),Lin1,Point1,Tan1);
- D21 = gp_Vec2d(0.,0.);
- ElCLib::D1(X(2),Lin2,Point2,Tan2);
- D22 = gp_Vec2d(0.,0.);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_CuCuCu:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
- }
- break;
- default:
- {
- Standard_ConstructionError::Raise();
- }
- }
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const TheCurve& C1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ) {
- Curv1 = C1;
- Curv2 = C2;
- Curv3 = C3;
- TheType = GccIter_CuCuCu;
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ) {
- Circ1 = C1;
- Curv2 = C2;
- Curv3 = C3;
- TheType = GccIter_CiCuCu;
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
- const gp_Circ2d& C2 ,
- const TheCurve& C3 ) {
- Circ1 = C1;
- Circ2 = C2;
- Curv3 = C3;
- TheType = GccIter_CiCiCu;
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
- const gp_Lin2d& L2 ,
- const TheCurve& C3 ) {
- Circ1 = C1;
- Lin2 = L2;
- Curv3 = C3;
- TheType = GccIter_CiLiCu;
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const gp_Lin2d& L1 ,
- const gp_Lin2d& L2 ,
- const TheCurve& C3 ) {
- Lin1 = L1;
- Lin2 = L2;
- Curv3 = C3;
- TheType = GccIter_LiLiCu;
-}
-
-GccIter_FunctionTanCuCuCu::
- GccIter_FunctionTanCuCuCu(const gp_Lin2d& L1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ) {
- Lin1 = L1;
- Curv2 = C2;
- Curv3 = C3;
- TheType = GccIter_LiCuCu;
-}
-
-//==========================================================================
-
-Standard_Integer GccIter_FunctionTanCuCuCu::
- NbVariables () const { return 3; }
-
-Standard_Integer GccIter_FunctionTanCuCuCu::
- NbEquations () const { return 3; }
-
-Standard_Boolean GccIter_FunctionTanCuCuCu::
- Value (const math_Vector& X ,
- math_Vector& Fval ) {
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Pnt2d Point3;
- gp_Vec2d Tan1;
- gp_Vec2d Tan2;
- gp_Vec2d Tan3;
- gp_Vec2d D21;
- gp_Vec2d D22;
- gp_Vec2d D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//pipj (normes) et PiPj (non Normes).
- gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
- gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
- gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
- Standard_Real NorP1P2 = P1P2.Modulus();
- Standard_Real NorP2P3 = P2P3.Modulus();
- Standard_Real NorP3P1 = P3P1.Modulus();
- gp_XY p1p2,p2p3,p3p1;
- if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
- else { p1p2 = gp_XY(0.,0.); }
- if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
- else { p2p3 = gp_XY(0.,0.); }
- if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
- else { p3p1 = gp_XY(0.,0.); }
-//derivees premieres non normees Deriv1ui.
- gp_XY Deriv1u1(Tan1.XY());
- gp_XY Deriv1u2(Tan2.XY());
- gp_XY Deriv1u3(Tan3.XY());
-//normales aux courbes.
- Standard_Real nnor1 = Deriv1u1.Modulus();
- Standard_Real nnor2 = Deriv1u2.Modulus();
- Standard_Real nnor3 = Deriv1u3.Modulus();
- gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
- gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
- gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
- gp_XY nor1,nor2,nor3;
- if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
- else { nor1 = gp_XY(0.,0.); }
- if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
- else { nor2 = gp_XY(0.,0.); }
- if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
- else { nor3 = gp_XY(0.,0.); }
-//determination des signes pour les produits scalaires.
- Standard_Real signe1 = 1.;
- Standard_Real signe2 = 1.;
- Standard_Real signe3 = 1.;
- gp_Pnt2d Pcenter(gp_XY(Point1.XY()+Point2.XY()+Point3.XY())/3.);
- gp_XY fic1(Pcenter.XY()-Point1.XY());
- gp_XY fic2(Pcenter.XY()-Point2.XY());
- gp_XY fic3(Pcenter.XY()-Point3.XY());
- Standard_Real pscal11 = nor1.Dot(fic1);
- Standard_Real pscal22 = nor2.Dot(fic2);
- Standard_Real pscal33 = nor3.Dot(fic3);
- if (pscal11 <= 0.) { signe1 = -1; }
- if (pscal22 <= 0.) { signe2 = -1; }
- if (pscal33 <= 0.) { signe3 = -1; }
-// Fonctions Fui.
-// ==============
- Fval(1) = signe1*nor1.Dot(p1p2)+signe2*nor2.Dot(p1p2);
- Fval(2) = signe2*nor2.Dot(p2p3)+signe3*nor3.Dot(p2p3);
- Fval(3) = signe3*nor3.Dot(p3p1)+signe1*nor1.Dot(p3p1);
- return Standard_True;
-}
-
-
-
-Standard_Boolean GccIter_FunctionTanCuCuCu::Derivatives (const math_Vector&,
- math_Matrix&)
-{
-#if 0
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Pnt2d Point3;
- gp_Vec2d Tan1;
- gp_Vec2d Tan2;
- gp_Vec2d Tan3;
- gp_Vec2d D21;
- gp_Vec2d D22;
- gp_Vec2d D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//derivees premieres non normees Deriv1ui.
- gp_XY Deriv1u1(Tan1.XY());
- gp_XY Deriv1u2(Tan2.XY());
- gp_XY Deriv1u3(Tan3.XY());
-//pipj (normes) et PiPj (non Normes).
- gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
- gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
- gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
- Standard_Real NorP1P2 = P1P2.Modulus();
- Standard_Real NorP2P3 = P2P3.Modulus();
- Standard_Real NorP3P1 = P3P1.Modulus();
- gp_XY p1p2,p2p3,p3p1;
- if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
- else { p1p2 = gp_XY(0.,0.); }
- if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
- else { p2p3 = gp_XY(0.,0.); }
- if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
- else { p3p1 = gp_XY(0.,0.); }
-//normales au courbes normees Nori et non nromees nori et norme des nori.
- Standard_Real nnor1 = Deriv1u1.Modulus();
- Standard_Real nnor2 = Deriv1u2.Modulus();
- Standard_Real nnor3 = Deriv1u3.Modulus();
- gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
- gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
- gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
- gp_XY nor1,nor2,nor3;
- if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
- else { nor1 = gp_XY(0.,0.); }
- if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
- else { nor2 = gp_XY(0.,0.); }
- if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
- else { nor3 = gp_XY(0.,0.); }
-//derivees des normales.
- gp_XY NorD21,NorD22,NorD23;
- NorD21 = gp_XY(-D21.Y(),D21.X());
- NorD22 = gp_XY(-D22.Y(),D22.X());
- NorD23 = gp_XY(-D23.Y(),D23.X());
-//determination des signes pour les produits scalaires.
- Standard_Real signe1 = 1.;
- Standard_Real signe2 = 1.;
- Standard_Real signe3 = 1.;
- gp_XY P = Point1.XY();
- P += Point2.XY();
- P += Point3.XY();
- P /= 3.;
- gp_Pnt2d Pcenter(P);
- gp_XY fic1 = Pcenter.XY();
- fic1 -= Point1.XY();
- gp_XY fic2 = Pcenter.XY();
- fic2 -= Point2.XY();
- gp_XY fic3 = Pcenter.XY();
- fic3 -= Point3.XY();
- Standard_Real pscal11 = nor1.Dot(fic1);
- Standard_Real pscal22 = nor2.Dot(fic2);
- Standard_Real pscal33 = nor3.Dot(fic3);
- if (pscal11 <= 0.) { signe1 = -1; }
- if (pscal22 <= 0.) { signe2 = -1; }
- if (pscal33 <= 0.) { signe3 = -1; }
-
-// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
-// =============================================
- Standard_Real partie1,partie2;
- if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1 = (signe1*NorD21/nnor1-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
- *Nor1).Dot(p1p2); }
- if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((Deriv1u1.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2-Deriv1u1/NorP1P2)
- .Dot(signe1*nor1+signe2*nor2); }
- Deriv(1,1) = partie1 + partie2;
- if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=(signe2*NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
- *Nor2).Dot(p1p2); }
- if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
- else{partie2=((-Deriv1u2.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2+Deriv1u2/NorP1P2)
- .Dot(signe1*nor1+signe2*nor2); }
- Deriv(1,2) = partie1 + partie2;
- Deriv(1,3) = 0.;
- Deriv(2,1) = 0.;
- if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=(signe2*NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
- *Nor2).Dot(p2p3); }
- if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
- else { partie2=((Deriv1u2.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3-Deriv1u2/NorP2P3)
- .Dot(signe2*nor2+signe3*nor3); }
- Deriv(2,2) = partie1 +partie2;
- if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=(signe3*NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
- *Nor3).Dot(p2p3); }
- if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((-Deriv1u3.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3+Deriv1u3/NorP2P3)
- .Dot(signe2*nor2+signe3*nor3); }
- Deriv(2,3) = partie1 + partie2;
- if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1 =(signe1*NorD21/(nnor1)-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
- *Nor1).Dot(p3p1); }
- if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((-Deriv1u1.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1+Deriv1u1/NorP3P1)
- .Dot(signe1*nor1+signe3*nor3); }
- Deriv(3,1) = partie1 + partie2;
- Deriv(3,2) = 0.;
- if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=(signe3*NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
- *Nor3).Dot(p3p1); }
- if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((Deriv1u3.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1-Deriv1u3/NorP3P1)
- .Dot(signe1*nor1+signe3*nor3); }
- Deriv(3,3) = partie1+partie2;
-#endif
- return Standard_True;
-}
-
-
-Standard_Boolean GccIter_FunctionTanCuCuCu:: Values (const math_Vector&,
- math_Vector&,
- math_Matrix& )
-{
-#if 0
- gp_Pnt2d Point1;
- gp_Pnt2d Point2;
- gp_Pnt2d Point3;
- gp_Vec2d Tan1;
- gp_Vec2d Tan2;
- gp_Vec2d Tan3;
- gp_Vec2d D21;
- gp_Vec2d D22;
- gp_Vec2d D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//derivees premieres non normees Deriv1ui.
- gp_XY Deriv1u1(Tan1.XY());
- gp_XY Deriv1u2(Tan2.XY());
- gp_XY Deriv1u3(Tan3.XY());
-//pipj (normes) et PiPj (non Normes).
- gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
- gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
- gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
- Standard_Real NorP1P2 = P1P2.Modulus();
- Standard_Real NorP2P3 = P2P3.Modulus();
- Standard_Real NorP3P1 = P3P1.Modulus();
- gp_XY p1p2,p2p3,p3p1;
- if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
- else { p1p2 = gp_XY(0.,0.); }
- if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
- else { p2p3 = gp_XY(0.,0.); }
- if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
- else { p3p1 = gp_XY(0.,0.); }
-//normales au courbes normees Nori et non nromees nori et norme des nori.
- Standard_Real nnor1 = Deriv1u1.Modulus();
- Standard_Real nnor2 = Deriv1u2.Modulus();
- Standard_Real nnor3 = Deriv1u3.Modulus();
- gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
- gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
- gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
- gp_XY nor1,nor2,nor3;
- if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
- else { nor1 = gp_XY(0.,0.); }
- if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
- else { nor2 = gp_XY(0.,0.); }
- if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
- else { nor3 = gp_XY(0.,0.); }
-//derivees des normales.
- gp_XY NorD21,NorD22,NorD23;
- NorD21 = gp_XY(-D21.Y(),D21.X());
- NorD22 = gp_XY(-D22.Y(),D22.X());
- NorD23 = gp_XY(-D23.Y(),D23.X());
-//determination des signes pour les produits scalaires.
- Standard_Real signe1 = 1.;
- Standard_Real signe2 = 1.;
- Standard_Real signe3 = 1.;
- gp_XY P = Point1.XY();
- P += Point2.XY();
- P += Point3.XY();
- P /= 3.;
- gp_Pnt2d Pcenter(P);
- gp_XY fic1 = Pcenter.XY();
- fic1 -= Point1.XY();
- gp_XY fic2 = Pcenter.XY();
- fic2 -= Point2.XY();
- gp_XY fic3 = Pcenter.XY();
- fic3 -= Point3.XY();
- Standard_Real pscal11 = nor1.Dot(fic1);
- Standard_Real pscal22 = nor2.Dot(fic2);
- Standard_Real pscal33 = nor3.Dot(fic3);
- if (pscal11 <= 0.) { signe1 = -1; }
- if (pscal22 <= 0.) { signe2 = -1; }
- if (pscal33 <= 0.) { signe3 = -1; }
-
-// Fonctions Fui.
-// ==============
- Fval(1) = signe1*nor1.Dot(p1p2)+signe2*nor2.Dot(p1p2);
- Fval(2) = signe2*nor2.Dot(p2p3)+signe3*nor3.Dot(p2p3);
- Fval(3) = signe3*nor3.Dot(p3p1)+signe1*nor1.Dot(p3p1);
-// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
-// =============================================
- Standard_Real partie1,partie2;
- if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1 = signe1*(NorD21/nnor1-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
- *Nor1).Dot(p1p2); }
- if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((Deriv1u1.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2-Deriv1u1/NorP1P2)
- .Dot(signe1*nor1+signe2*nor2); }
- Deriv(1,1) = partie1 + partie2;
- if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=signe2*(NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
- *Nor2).Dot(p1p2); }
- if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
- else{partie2=((-Deriv1u2.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2+Deriv1u2/NorP1P2)
- .Dot(signe1*nor1+signe2*nor2); }
- Deriv(1,2) = partie1 + partie2;
- Deriv(1,3) = 0.;
- Deriv(2,1) = 0.;
- if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=signe2*(NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
- *Nor2).Dot(p2p3); }
- if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
- else { partie2=((Deriv1u2.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3-Deriv1u2/NorP2P3)
- .Dot(signe2*nor2+signe3*nor3); }
- Deriv(2,2) = partie1 +partie2;
- if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=signe3*(NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
- *Nor3).Dot(p2p3); }
- if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((-Deriv1u3.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3+Deriv1u3/NorP2P3)
- .Dot(signe2*nor2+signe3*nor3); }
- Deriv(2,3) = partie1 + partie2;
- if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1 =signe1*(NorD21/(nnor1)-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
- *Nor1).Dot(p3p1); }
- if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((-Deriv1u1.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1+Deriv1u1/NorP3P1)
- .Dot(signe1*nor1+signe3*nor3); }
- Deriv(3,1) = partie1 + partie2;
- Deriv(3,2) = 0.;
- if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
- else { partie1=signe3*(NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
- *Nor3).Dot(p3p1); }
- if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
- else {partie2=((Deriv1u3.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1-Deriv1u3/NorP3P1)
- .Dot(signe1*nor1+signe3*nor3); }
- Deriv(3,3) = partie1+partie2;
-#endif
- return Standard_True;
-}
-
-
+++ /dev/null
--- Created on: 1991-05-13
--- Created by: Laurent PAINNOT
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanCuCuOnCu from GccIter (
- TheCurve as any;
- TheCurveTool as any) -- as CurvePGTool from GccInt (TheCurve)
-
-inherits FunctionSetWithDerivatives from math
-
- ---Purpose: This abstract class describes a set on N Functions of
- -- M independant variables.
-
-uses Vector from math,
- Matrix from math,
- Circ2d from gp,
- Lin2d from gp,
- Pnt2d from gp,
- Vec2d from gp,
- Type2 from GccIter
-
-raises ConstructionError
-
-is
-
- Create (C1 : TheCurve ;
- C2 : TheCurve ;
- OnCi : Circ2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : TheCurve ;
- OnCi : Circ2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- C2 : TheCurve ;
- OnCi : Circ2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : TheCurve ;
- P2 : Pnt2d from gp ;
- OnCi : Circ2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
-------------------------------------------------------------------------
-
- Create (C1 : TheCurve ;
- C2 : TheCurve ;
- OnLi : Lin2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : TheCurve ;
- OnLi : Lin2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- C2 : TheCurve ;
- OnLi : Lin2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : TheCurve ;
- P2 : Pnt2d from gp ;
- OnLi : Lin2d from gp ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
------------------------------------------------------------------------
-
- Create (C1 : TheCurve ;
- C2 : TheCurve ;
- OnCu : TheCurve ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : Circ2d from gp ;
- C2 : TheCurve ;
- OnCu : TheCurve ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (L1 : Lin2d from gp ;
- C2 : TheCurve ;
- OnCu : TheCurve ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
- Create (C1 : TheCurve ;
- P1 : Pnt2d from gp ;
- OnCu : TheCurve ;
- Rad : Real from Standard )
-returns FunctionTanCuCuOnCu from GccIter;
-
-InitDerivative(me : in out ;
- X : Vector from math ;
- Point1,Point2,Point3 : out Pnt2d from gp ;
- Tan1,Tan2,Tan3,D21,D22,D23 : out Vec2d from gp )
-raises ConstructionError
-is static;
-
- NbVariables(me) returns Integer;
- ---Purpose: Returns the number of variables of the function.
-
- NbEquations(me) returns Integer;
- ---Purpose: Returns the number of equations of the function.
-
- Value(me : in out ;
- X : Vector from math;
- F : out Vector from math) returns Boolean;
- ---Purpose: Computes the values of the Functions for the variable <X>.
-
- Derivatives(me : in out ;
- X : Vector from math;
- D : out Matrix from math) returns Boolean;
- ---Purpose: Returns the values of the derivatives for the variable <X>.
-
- Values(me : in out ;
- X : Vector from math;
- F : out Vector from math;
- D : out Matrix from math) returns Boolean;
- ---Purpose: Returns the values of the functions and the derivatives
- -- for the variable <X>.
-
-fields
-
-Curv1 : TheCurve ;
-Curv2 : TheCurve ;
-Circ1 : Circ2d from gp ;
-Lin1 : Lin2d from gp ;
-Pnt2 : Pnt2d from gp ;
-Circon : Circ2d from gp ;
-Linon : Lin2d from gp ;
-Curvon : TheCurve ;
-FirstRad : Real from Standard ;
-TheType : Type2 from GccIter ;
-
-end FunctionTanCuCuOnCu;
-
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <Standard_ConstructionError.hxx>
-#include <ElCLib.hxx>
-
-void GccIter_FunctionTanCuCuOnCu::
- InitDerivative(const math_Vector& X,
- gp_Pnt2d& Point1,
- gp_Pnt2d& Point2,
- gp_Pnt2d& Point3,
- gp_Vec2d& Tan1,
- gp_Vec2d& Tan2,
- gp_Vec2d& Tan3,
- gp_Vec2d& D21,
- gp_Vec2d& D22,
- gp_Vec2d& D23) {
- switch (TheType) {
- case GccIter_CuCuOnCu:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_CiCuOnCu:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_LiCuOnCu:
- {
- ElCLib::D1(X(1),Lin1,Point1,Tan1);
- D21 = gp_Vec2d(0.,0.);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- TheCurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
- }
- break;
- case GccIter_CuPtOnCu:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
- Point2 = Pnt2;
- Tan2 = gp_Vec2d(0.,0.);
- D22 = gp_Vec2d(0.,0.);
- }
- break;
- case GccIter_CuCuOnCi:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
- }
- break;
- case GccIter_CiCuOnCi:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
- }
- break;
- case GccIter_LiCuOnCi:
- {
- ElCLib::D1(X(1),Lin1,Point1,Tan1);
- D21 = gp_Vec2d(0.,0.);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
- }
- break;
- case GccIter_CuPtOnCi:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- Point2 = Pnt2;
- Tan2 = gp_Vec2d(0.,0.);
- D22 = gp_Vec2d(0.,0.);
- ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
- }
- break;
- case GccIter_CuCuOnLi:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- ElCLib::D1(X(3),Linon,Point3,Tan3);
- D23 = gp_Vec2d(0.,0.);
- }
- break;
- case GccIter_CiCuOnLi:
- {
- ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- ElCLib::D1(X(3),Linon,Point3,Tan3);
- D23 = gp_Vec2d(0.,0.);
- }
- break;
- case GccIter_LiCuOnLi:
- {
- ElCLib::D1(X(1),Lin1,Point1,Tan1);
- TheCurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
- D21 = gp_Vec2d(0.,0.);
- ElCLib::D1(X(3),Linon,Point3,Tan3);
- D23 = gp_Vec2d(0.,0.);
- }
- break;
- case GccIter_CuPtOnLi:
- {
- TheCurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
- Point2 = Pnt2;
- Tan2 = gp_Vec2d(0.,0.);
- D22 = gp_Vec2d(0.,0.);
- ElCLib::D1(X(3),Linon,Point3,Tan3);
- D23 = gp_Vec2d(0.,0.);
- }
- break;
- default:
- {
- Standard_ConstructionError::Raise();
- }
- }
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Curv2 = C2;
- Curvon = C3;
- FirstRad = Rad;
- TheType = GccIter_CuCuOnCu;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ,
- const Standard_Real Rad ) {
- Circ1 = C1;
- Curv2 = C2;
- Curvon = C3;
- FirstRad = Rad;
- TheType = GccIter_CiCuOnCu;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
- const TheCurve& C2 ,
- const TheCurve& C3 ,
- const Standard_Real Rad ) {
- Lin1 = L1;
- Curv2 = C2;
- Curvon = C3;
- FirstRad = Rad;
- TheType = GccIter_LiCuOnCu;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const gp_Pnt2d& P2 ,
- const TheCurve& C3 ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Pnt2 = P2;
- Curvon = C3;
- FirstRad = Rad;
- TheType = GccIter_CuPtOnCu;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const TheCurve& C2 ,
- const gp_Lin2d& OnLi ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Curv2 = C2;
- Linon = OnLi;
- FirstRad = Rad;
- TheType = GccIter_CuCuOnLi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
- const TheCurve& C2 ,
- const gp_Lin2d& OnLi ,
- const Standard_Real Rad ) {
- Circ1 = C1;
- Curv2 = C2;
- Linon = OnLi;
- FirstRad = Rad;
- TheType = GccIter_CiCuOnLi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
- const TheCurve& C2 ,
- const gp_Lin2d& OnLi ,
- const Standard_Real Rad ) {
- Lin1 = L1;
- Curv2 = C2;
- Linon = OnLi;
- FirstRad = Rad;
- TheType = GccIter_LiCuOnLi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const gp_Pnt2d& P2 ,
- const gp_Lin2d& OnLi ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Pnt2 = P2;
- Linon = OnLi;
- FirstRad = Rad;
- TheType = GccIter_CuPtOnLi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const TheCurve& C2 ,
- const gp_Circ2d& OnCi ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Curv2 = C2;
- Circon = OnCi;
- FirstRad = Rad;
- TheType = GccIter_CuCuOnCi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
- const TheCurve& C2 ,
- const gp_Circ2d& OnCi ,
- const Standard_Real Rad ) {
- Circ1 = C1;
- Curv2 = C2;
- Circon = OnCi;
- FirstRad = Rad;
- TheType = GccIter_CuCuOnCi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
- const TheCurve& C2 ,
- const gp_Circ2d& OnCi ,
- const Standard_Real Rad ) {
- Lin1 = L1;
- Curv2 = C2;
- Circon = OnCi;
- FirstRad = Rad;
- TheType = GccIter_LiCuOnCi;
-}
-
-GccIter_FunctionTanCuCuOnCu::
- GccIter_FunctionTanCuCuOnCu(const TheCurve& C1 ,
- const gp_Pnt2d& P2 ,
- const gp_Circ2d& OnCi ,
- const Standard_Real Rad ) {
- Curv1 = C1;
- Pnt2 = P2;
- Circon = OnCi;
- FirstRad = Rad;
- TheType = GccIter_CuPtOnCi;
-}
-
-Standard_Integer GccIter_FunctionTanCuCuOnCu::
- NbVariables () const { return 4; }
-
-Standard_Integer GccIter_FunctionTanCuCuOnCu::
- NbEquations () const { return 4; }
-
-Standard_Boolean GccIter_FunctionTanCuCuOnCu::
- Value (const math_Vector& X ,
- math_Vector& Fval ) {
- gp_Pnt2d Point1,Point2,Point3;
- gp_Vec2d Tan1,Tan2,Tan3,D21,D22,D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//pipj (normes) et PiPj (non Normes).
- gp_Vec2d P1P2(Point1,Point2);
- gp_Vec2d P2P3(Point2,Point3);
- gp_Vec2d P3P1(Point3,Point1);
- gp_Vec2d p1p2,p2p3,p3p1;
-// if (FirstRad < 1.) {FirstRad = 1.; }
- p1p2 = P1P2/FirstRad;
- p2p3 = P2P3/FirstRad;
- p3p1 = P3P1/FirstRad;
-//norme des Tani.
- Standard_Real nnor1 = Tan1.Magnitude();
- Standard_Real nnor2 = Tan2.Magnitude();
-// Fonctions Fui.
-// ==============
- Fval(1) = (P3P1.Dot(P3P1)-X(4)*X(4))/(FirstRad*FirstRad);
- Fval(2) = (P2P3.Dot(P2P3)-X(4)*X(4))/(FirstRad*FirstRad);
- Fval(3) = P3P1.Dot(Tan1)/(nnor1*FirstRad);
- Fval(4) = P2P3.Dot(Tan2)/(nnor2*FirstRad);
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuCuOnCu::
- Derivatives (const math_Vector& X ,
- math_Matrix& Deriv ) {
- gp_Pnt2d Point1,Point2,Point3;
- gp_Vec2d Tan1,Tan2,Tan3;
- gp_Vec2d D21,D22,D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//pipj (normes) et PiPj (non Normes).
- gp_Vec2d P1P2(Point1,Point2);
- gp_Vec2d P2P3(Point2,Point3);
- gp_Vec2d P3P1(Point3,Point1);
- gp_Vec2d p1p2,p2p3,p3p1;
-// if (FirstRad < 1.) {FirstRad = 1.; }
- p1p2 = P1P2/FirstRad;
- p2p3 = P2P3/FirstRad;
- p3p1 = P3P1/FirstRad;
-//normales au courbes normees Nori et non nromees nori et norme des nori.
- Standard_Real nnor1 = Tan1.Magnitude();
- Standard_Real nnor2 = Tan2.Magnitude();
-// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
-// =============================================
- Deriv(1,1) = 2.*Tan1.Dot(P3P1)/(FirstRad*FirstRad);
- Deriv(1,2) = 0.;
- Deriv(1,3) = -2.*Tan3.Dot(P3P1)/(FirstRad*FirstRad);
- Deriv(1,4) = -2.*X(4)/(FirstRad*FirstRad);
-
- Deriv(2,1) = 0.;
- Deriv(2,2) = -2.*Tan2.Dot(P2P3)/(FirstRad*FirstRad);
- Deriv(2,3) = 2.*Tan3.Dot(P2P3)/(FirstRad*FirstRad);
- Deriv(2,4) = -2.*X(4)/(FirstRad*FirstRad);
-
- Deriv(3,1) = (P3P1.Dot(D21)+Tan1.Dot(Tan1))/(FirstRad*nnor1)-
- (P3P1.Dot(Tan1)*D21.Dot(Tan1))/(FirstRad*nnor1*nnor1*nnor1);
- Deriv(3,2) = 0.;
- Deriv(3,3) = -(Tan3.Dot(Tan1))/(FirstRad*nnor1);
- Deriv(3,4) = 0.;
-
- Deriv(4,1) = 0.;
- Deriv(4,2) = (P2P3.Dot(D22)-Tan2.Dot(Tan2))/(FirstRad*nnor2)-
- P2P3.Dot(Tan2)*Tan2.Dot(D22)/(FirstRad*nnor2*nnor2*nnor2);
- Deriv(4,3) = Tan3.Dot(Tan2)/(FirstRad*nnor1);
- Deriv(4,4) = 0.;
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuCuOnCu::
- Values (const math_Vector& X ,
- math_Vector& Fval ,
- math_Matrix& Deriv ) {
- gp_Pnt2d Point1,Point2,Point3;
- gp_Vec2d Tan1,Tan2,Tan3;
- gp_Vec2d D21,D22,D23;
- InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
-//pipj (normes) et PiPj (non Normes).
- gp_Vec2d P1P2(Point1,Point2);
- gp_Vec2d P2P3(Point2,Point3);
- gp_Vec2d P3P1(Point3,Point1);
- gp_Vec2d p1p2,p2p3,p3p1;
-// if (FirstRad < 1.) {FirstRad = 1.; }
- p1p2 = P1P2/FirstRad;
- p2p3 = P2P3/FirstRad;
- p3p1 = P3P1/FirstRad;
-//normales au courbes normees Nori et non nromees nori et norme des nori.
- Standard_Real nnor1 = Tan1.Magnitude();
- Standard_Real nnor2 = Tan2.Magnitude();
-// Fonctions Fui.
-// ==============
- Fval(1) = (P3P1.Dot(P3P1)-X(4)*X(4))/(FirstRad*FirstRad);
- Fval(2) = (P2P3.Dot(P2P3)-X(4)*X(4))/(FirstRad*FirstRad);
- Fval(3) = P3P1.Dot(Tan1)/(nnor1*FirstRad);
- Fval(4) = P2P3.Dot(Tan2)/(nnor2*FirstRad);
-// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
-// =============================================
- Deriv(1,1) = 2.*Tan1.Dot(P3P1)/(FirstRad*FirstRad);
- Deriv(1,2) = 0.;
- Deriv(1,3) = -2.*Tan3.Dot(P3P1)/(FirstRad*FirstRad);
- Deriv(1,4) = -2.*X(4)/(FirstRad*FirstRad);
-
- Deriv(2,1) = 0.;
- Deriv(2,2) = -2.*Tan2.Dot(P2P3)/(FirstRad*FirstRad);
- Deriv(2,3) = 2.*Tan3.Dot(P2P3)/(FirstRad*FirstRad);
- Deriv(2,4) = -2.*X(4)/(FirstRad*FirstRad);
-
- Deriv(3,1) = (P3P1.Dot(D21)+Tan1.Dot(Tan1))/(FirstRad*nnor1)-
- (P3P1.Dot(Tan1)*D21.Dot(Tan1))/(FirstRad*nnor1*nnor1*nnor1);
- Deriv(3,2) = 0.;
- Deriv(3,3) = -(Tan3.Dot(Tan1))/(FirstRad*nnor1);
- Deriv(3,4) = 0.;
-
- Deriv(4,1) = 0.;
- Deriv(4,2) = (P2P3.Dot(D22)-Tan2.Dot(Tan2))/(FirstRad*nnor2)-
- P2P3.Dot(Tan2)*Tan2.Dot(D22)/(FirstRad*nnor2*nnor2*nnor2);
- Deriv(4,3) = Tan3.Dot(Tan2)/(FirstRad*nnor1);
- Deriv(4,4) = 0.;
- return Standard_True;
-}
-
+++ /dev/null
--- Created on: 1992-02-20
--- Created by: Remy GILET
--- Copyright (c) 1992-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanCuPnt from GccIter (
- TheCurve as any ;
- TheCurveTool as any )
-
-inherits FunctionWithDerivative from math
-
- ---Purpose: This abstract class describes a Function of 1 Variable
- -- used to find a line tangent to a curve and passing
- -- through a point.
-
-uses Pnt2d from gp
-
-is
-
-Create (C : TheCurve ;
- Point : Pnt2d from gp ) returns FunctionTanCuPnt from GccIter;
-
-Value (me : in out ;
- X : Real ;
- F : out Real ) returns Boolean;
- ---Purpose: Computes the value of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Derivative (me : in out ;
- X : Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the derivative of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Values (me : in out ;
- X : Real ;
- F : out Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the value and the derivative of the function F
- -- for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-fields
-
-TheCurv : TheCurve;
-ThePoint : Pnt2d from gp;
-
-end FunctionTanCuPnt;
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <gp_Vec2d.hxx>
-#include <gp_Pnt2d.hxx>
-#include <gp_Vec.hxx>
-#include <gp_Pnt.hxx>
-
-//=========================================================================
-// soit P1 le point sur la courbe TheCurve d abscisse u. +
-// soit C le point ThePoint. +
-// Nous cherchons donc les zeros de la fonction suivante: +
-// +
-// --> --> +
-// CP1 /\ T +
-// --------------- = F(u) +
-// ||CP1|| * ||T|| +
-// +
-// La derivee de cette fonction est : +
-// CP1 /\ N (T.N)*((CP1/\T).((CP1/\T)) +
-// f(u) = -------- - -------------------------------- +
-// N.N N*N*N*CP1*CP1*CP1 +
-//=========================================================================
-
-GccIter_FunctionTanCuPnt::
- GccIter_FunctionTanCuPnt(const TheCurve& C ,
- const gp_Pnt2d& Point ) {
- TheCurv = C;
- ThePoint = Point;
- }
-
-
-Standard_Boolean GccIter_FunctionTanCuPnt::
- Value (const Standard_Real X ,
- Standard_Real& Fval ) {
- gp_Pnt2d Point;
- gp_Vec2d Vect;
- TheCurveTool::D1(TheCurv,X,Point,Vect);
- Standard_Real NormeD1 = Vect.Magnitude();
- gp_Vec2d TheDirection(ThePoint,Point);
- Standard_Real NormeDir = TheDirection.Magnitude();
- Fval = TheDirection.Crossed(Vect)/(NormeD1*NormeDir);
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuPnt::
- Derivative (const Standard_Real X ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vec1;
- gp_Vec2d Vec2;
- TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
- gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY()));
- Standard_Real NormeD1 = Vec1.Magnitude();
- Standard_Real NormeDir = TheDirection.Magnitude();
- Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)-
- (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))*
- (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+
- Vec1.Dot(TheDirection)/(NormeDir*NormeDir));
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanCuPnt::
- Values (const Standard_Real X ,
- Standard_Real& Fval ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vec1;
- gp_Vec2d Vec2;
- TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
- gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY()));
- Standard_Real NormeD1 = Vec1.Magnitude();
- Standard_Real NormeDir = TheDirection.Magnitude();
- Fval = TheDirection.Crossed(Vec1)/(NormeD1*NormeDir);
- Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)-
- (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))*
- (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+
- Vec1.Dot(TheDirection)/(NormeDir*NormeDir));
-
-// cout << "U = "<< X << " F ="<< Fval <<" DF ="<< Deriv<<endl;
-
- return Standard_True;
-}
+++ /dev/null
--- Created on: 1992-01-09
--- Created by: Remi GILET
--- Copyright (c) 1992-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class FunctionTanObl from GccIter (
- TheCurve as any;
- TheCurveTool as any) -- as CurvePGTool from GccInt (TheCurve)
-
-inherits FunctionWithDerivative from math
- ---Purpose: This class describe a function of a single variable.
-
-uses Dir2d from gp
-
-
-is
-
-Create (Curve : TheCurve ;
- Dir : Dir2d from gp ) returns FunctionTanObl from GccIter;
-
-Value (me : in out ;
- X : Real ;
- F : out Real ) returns Boolean;
- ---Purpose: Computes the value of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Derivative (me : in out ;
- X : Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the derivative of the function F for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-Values (me : in out ;
- X : Real ;
- F : out Real ;
- Deriv : out Real ) returns Boolean;
- ---Purpose: Computes the value and the derivative of the function F
- -- for the variable X.
- -- It returns True if the computation is successfully done,
- -- False otherwise.
-
-fields
-
-TheCurv : TheCurve ;
-TheDirection : Dir2d from gp;
-
-end FunctionTanObl;
-
-
-
-
-
-
+++ /dev/null
-// Created on: 1992-01-20
-// Created by: Remi GILET
-// Copyright (c) 1992-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-#include <gp_Vec2d.hxx>
-#include <gp_Pnt2d.hxx>
-
-GccIter_FunctionTanObl::
- GccIter_FunctionTanObl(const TheCurve& C ,
- const gp_Dir2d& Dir ) {
- TheCurv = C;
- TheDirection = Dir;
- }
-
-
-Standard_Boolean GccIter_FunctionTanObl::
- Value (const Standard_Real X ,
- Standard_Real& Fval ) {
- gp_Pnt2d Point;
- gp_Vec2d Vect;
- TheCurveTool::D1(TheCurv,X,Point,Vect);
- Standard_Real NormeD1 = Vect.Magnitude();
- Fval = TheDirection.XY().Crossed(Vect.XY())/NormeD1;
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanObl::
- Derivative (const Standard_Real X ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vec1;
- gp_Vec2d Vec2;
- TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
- Standard_Real NormeD1 = Vec1.Magnitude();
- Deriv = TheDirection.XY().Crossed(Vec2.XY())/NormeD1-
- Vec1.XY().Dot(Vec2.XY())*TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
- return Standard_True;
-}
-
-Standard_Boolean GccIter_FunctionTanObl::
- Values (const Standard_Real X ,
- Standard_Real& Fval ,
- Standard_Real& Deriv ) {
- gp_Pnt2d Point;
- gp_Vec2d Vec1;
- gp_Vec2d Vec2;
- TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
- Standard_Real NormeD1 = Vec1.Magnitude();
- Fval = TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
- Deriv = TheDirection.XY().Crossed(Vec2.XY())/NormeD1-
- Vec1.XY().Dot(Vec2.XY())*TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
- return Standard_True;
-}
-
+++ /dev/null
--- Created on: 1991-04-24
--- Created by: Remi GILET
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class Lin2d2Tan from GccIter (
- TheCurve as any;
- TheCurveTool as any;
- TheQualifiedCurve as any) -- as QualifiedCurve from GccEnt
- -- (TheCurve)
-
- ---Purpose: This class implements the algorithms used to
- -- create 2d lines tangent to 2 other elements which
- -- can be circles, curves or points.
- -- More than one argument must be a curve.
- --
- -- Note: Some constructors may check the type of the qualified argument
- -- and raise BadQualifier Error in case of incorrect couple (qualifier,
- -- curv).
- -- For example: "EnclosedCirc".
-
-uses Pnt2d from gp,
- Lin2d from gp,
- QualifiedCirc from GccEnt,
- Position from GccEnt
-
-raises BadQualifier from GccEnt,
- NotDone from StdFail
-
-
-private class FuncTCuCu instantiates FunctionTanCuCu from GccIter(
- TheCurve,TheCurveTool);
-
-private class FuncTCuPt instantiates FunctionTanCuPnt from GccIter(
- TheCurve,TheCurveTool);
-
-private class FuncTCirCu instantiates FunctionTanCirCu from GccIter(
- TheCurve,TheCurveTool);
-is
-
-Create (Qualified1 : TheQualifiedCurve ;
- ThePoint : Pnt2d ;
- Param1 : Real ;
- Tolang : Real ) returns Lin2d2Tan from GccIter
- ---Purpose: This class implements the algorithms used to create 2d
- -- lines passing thrue a point and tangent to a curve.
- -- Tolang is used to determine the tolerance for the
- -- tangency points.
- -- Param2 is used for the initial guess on the curve.
-raises BadQualifier from GccEnt;
-
-Create (Qualified1 : QualifiedCirc ;
- Qualified2 : TheQualifiedCurve ;
- Param2 : Real ;
- Tolang : Real ) returns Lin2d2Tan from GccIter
-raises BadQualifier from GccEnt;
- ---Purpose: This class implements the algorithms used to create 2d
- -- line tangent to a circle and to a cuve.
- -- Tolang is used to determine the tolerance for the
- -- tangency points.
- -- Param2 is used for the initial guess on the curve.
- -- Exception BadQualifier is raised in the case of
- -- EnclosedCirc
-
-Create (Qualified1 : TheQualifiedCurve ;
- Qualified2 : TheQualifiedCurve ;
- Param1 : Real ;
- Param2 : Real ;
- Tolang : Real ) returns Lin2d2Tan from GccIter
-raises BadQualifier from GccEnt;
- ---Purpose: This class implements the algorithms used to create 2d
- -- line tangent to two curves.
- -- Tolang is used to determine the tolerance for the
- -- tangency points.
- -- Param1 is used for the initial guess on the first curve.
- -- Param2 is used for the initial guess on the second curve.
-
---------------------------------------------------------------------------
-
-IsDone (me) returns Boolean
-is static;
- ---Purpose: This methode returns true when there is a solution
- -- and false in the other cases.
-
-ThisSolution(me) returns Lin2d
-raises NotDone from StdFail
-is static;
- ---Purpose: Returns the solution.
-
-WhichQualifier(me ;
- Qualif1 : out Position from GccEnt;
- Qualif2 : out Position from GccEnt)
-raises NotDone from StdFail
-is static;
- -- It returns the informations about the qualifiers of the tangency
- -- arguments concerning the solution number Index.
- -- It returns the real qualifiers (the qualifiers given to the
- -- constructor method in case of enclosed, enclosing and outside
- -- and the qualifiers computedin case of unqualified).
-
-Tangency1(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
-raises NotDone from StdFail
-is static;
- ---Purpose: Returns informations about the tangency point between the
- -- result and the first argument.
- -- ParSol is the intrinsic parameter of the point PntSol on
- -- the solution curv.
- -- ParArg is the intrinsic parameter of the point PntSol on
- -- the argument curv.
-
-Tangency2(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
-raises NotDone from StdFail
-is static;
- -- Returns informations about the tangency point between the
- -- result and the first argument.
- -- ParSol is the intrinsic parameter of the point PntSol on the solution
- -- curv.
- -- ParArg is the intrinsic parameter of the point PntSol on the argument
- -- curv.
-
-fields
-
- WellDone : Boolean;
- -- True if the algorithm succeeded.
-
- linsol : Lin2d;
- ---Purpose : The solutions.
-
- qualifier1 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- qualifier2 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- pnttg1sol : Pnt2d;
- -- The tangency point between the solution and the first argument on
- -- the solution.
-
- pnttg2sol : Pnt2d;
- -- The tangency point between the solution and the second argument on
- -- the solution.
-
- par1sol : Real;
- -- The parameter of the tangency point between the solution and the
- -- first argument on the solution.
-
- par2sol : Real;
- -- The parameter of the tangency point between the solution and the
- -- second argument on the solution.
-
- pararg1 : Real;
- -- The parameter of the tangency point between the solution and the first
- -- argument on the first argument.
-
- pararg2 : Real;
- -- The parameter of the tangency point between the solution and the second
- -- argument on the second argument.
-
-end Lin2d2Tan;
+++ /dev/null
-// Created on: 1991-12-20
-// Created by: Remi GILET
-// Copyright (c) 1991-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-//========================================================================
-// CREATION D UNE LIGNE TANGENTE A DEUX COURBES. +
-//========================================================================
-
-#include <StdFail_NotDone.hxx>
-#include <GccEnt_BadQualifier.hxx>
-#include <gp_XY.hxx>
-#include <gp_Dir2d.hxx>
-#include <gp_Vec2d.hxx>
-#include <gp_Circ2d.hxx>
-#include <math_Vector.hxx>
-#include <math_Matrix.hxx>
-#include <math_FunctionSetRoot.hxx>
-#include <math_FunctionRoot.hxx>
-
-GccIter_Lin2d2Tan::
- GccIter_Lin2d2Tan (const GccEnt_QualifiedCirc& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolang ) {
-
- par1sol = 0.;
- pararg1 = 0.;
-
- //Standard_Real Tol = Abs(Tolang);
-
- WellDone = Standard_False;
- if (Qualified1.IsEnclosed()) { GccEnt_BadQualifier::Raise(); }
- gp_Circ2d C1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- Standard_Real U1 = TheCurveTool::FirstParameter(Cu2);
- Standard_Real U2 = TheCurveTool::LastParameter(Cu2);
- GccIter_FuncTCirCu func(C1,Cu2);
- math_FunctionRoot sol(func,Param2,TheCurveTool::EpsX(Cu2,Abs(Tolang)),U1,U2,100);
- if (sol.IsDone()) {
- Standard_Real Usol = sol.Root();
-// gp_Pnt2d Origine,Pt;
-// Modified by Sergey KHROMOV - Thu Apr 5 17:39:47 2001 Begin
- Standard_Real Norm;
- func.Value(Usol, Norm);
- if (Abs(Norm) < Tolang) {
-// Modified by Sergey KHROMOV - Thu Apr 5 17:39:48 2001 End
- gp_Pnt2d Origine;
- gp_Vec2d Vect1;
- gp_Vec2d Vect2;
- TheCurveTool::D2(Cu2,Usol,Origine,Vect1,Vect2);
- gp_Vec2d Vdir(C1.Location().XY() - Origine.XY());
- Standard_Real sign1 = Vect1.Dot(Vdir);
- if (sign1 <= 0. ) { Vect1.Reverse(); }
- Standard_Real sign2 = Vect2.Crossed(Vect1);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing() && sign2<=0.) ||
- (Qualified2.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
- (Qualified2.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsOutside() && Vect1.Angle(Vdir) <= 0.) ||
- (Qualified1.IsEnclosing() && Vect1.Angle(Vdir) >= 0.)) {
- gp_Dir2d direc(Vect1);
- Standard_Real R1 = C1.Radius();
- gp_XY normal(-R1*direc.Y(),R1*direc.X());
- sign1 = Vect1.Crossed(Vdir);
- if (Qualified1.IsEnclosing()) {
- pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
- }
- else if (Qualified1.IsOutside()) {
- pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
- }
- else {
- if (sign1 >= 0.) {
- pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
- }
- else {
- pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
- }
- }
-// if (gp_Vec2d(direc.XY()).Angle(gp_Vec2d(pnttg1sol,Origine)) <= Tol) {
- pnttg2sol = Origine;
- linsol = gp_Lin2d(pnttg1sol,direc);
- WellDone = Standard_True;
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pararg2 = Usol;
- par1sol = 0.;
- par2sol = pnttg2sol.Distance(pnttg1sol);
- pararg1 = 0.;
- }
- }
- }
- }
- }
-
-GccIter_Lin2d2Tan::
- GccIter_Lin2d2Tan (const TheQualifiedCurve& Qualified1 ,
- const TheQualifiedCurve& Qualified2 ,
- const Standard_Real Param1 ,
- const Standard_Real Param2 ,
- const Standard_Real Tolang ) {
- par1sol = 0.;
- pararg1 = 0.;
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
- !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
- Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- TheCurve Cu1 = Qualified1.Qualified();
- TheCurve Cu2 = Qualified2.Qualified();
- GccIter_FuncTCuCu Func(Cu1,Cu2);
- math_Vector Umin(1,2);
- math_Vector Umax(1,2);
- math_Vector Ufirst(1,2);
- math_Vector tol(1,2);
- Umin(1) = TheCurveTool::FirstParameter(Cu1);
- Umin(2) = TheCurveTool::FirstParameter(Cu2);
- Umax(1) = TheCurveTool::LastParameter(Cu1);
- Umax(2) = TheCurveTool::LastParameter(Cu2);
- Ufirst(1) = Param1;
- Ufirst(2) = Param2;
- tol(1) = TheCurveTool::EpsX(Cu1,Abs(Tolang));
- tol(2) = TheCurveTool::EpsX(Cu2,Abs(Tolang));
- math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
- if (Root.IsDone()) {
- Root.Root(Ufirst);
-// Modified by Sergey KHROMOV - Thu Apr 5 17:45:00 2001 Begin
- math_Vector Norm(1,2);
- Func.Value(Ufirst, Norm);
- if (Abs(Norm(1)) < Tolang && Abs(Norm(2)) < Tolang) {
-// Modified by Sergey KHROMOV - Thu Apr 5 17:45:01 2001 End
- gp_Pnt2d point1,point2;
- gp_Vec2d Vect11,Vect12,Vect21,Vect22;
- TheCurveTool::D2(Cu1,Ufirst(1),point1,Vect11,Vect12);
- TheCurveTool::D2(Cu2,Ufirst(2),point2,Vect21,Vect22);
- gp_Vec2d Vec(point1.XY(),point2.XY());
- Standard_Real Angle1 = Vec.Angle(Vect12);
- Standard_Real sign1 = Vect11.Dot(Vec);
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && Angle1 >= 0.) ||
- (Qualified1.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
- (Qualified1.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
- Angle1 = Vec.Angle(Vect22);
- sign1 = Vect21.Dot(Vec);
- if (Qualified2.IsUnqualified() ||
- (Qualified2.IsEnclosing() && Angle1 >= 0.) ||
- (Qualified2.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
- (Qualified2.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = Qualified2.Qualifier();
- pararg1 = Ufirst(1);
- par1sol = 0.;
- pnttg1sol = point1;
- pararg2 = Ufirst(2);
- pnttg2sol = point2;
- par2sol = pnttg2sol.Distance(pnttg1sol);
- gp_Dir2d dir(pnttg2sol.X()-pnttg1sol.X(),pnttg2sol.Y()-pnttg1sol.Y());
- linsol = gp_Lin2d(pnttg1sol,dir);
- WellDone = Standard_True;
- }
- }
- }
- }
- }
-
-GccIter_Lin2d2Tan::
- GccIter_Lin2d2Tan (const TheQualifiedCurve& Qualified1 ,
- const gp_Pnt2d& ThePoint ,
- const Standard_Real Param1 ,
- const Standard_Real Tolang ) {
-
- par1sol = 0.;
- pararg1 = 0.;
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- TheCurve Cu1 = Qualified1.Qualified();
- Standard_Real U1 = TheCurveTool::FirstParameter(Cu1);
- Standard_Real U2 = TheCurveTool::LastParameter(Cu1);
- GccIter_FuncTCuPt func(Cu1,ThePoint);
- math_FunctionRoot sol(func,Param1,TheCurveTool::EpsX(Cu1,Abs(Tolang)),U1,U2,100);
- if (sol.IsDone()) {
- Standard_Real Usol = sol.Root();
-// Modified by Sergey KHROMOV - Thu Apr 5 17:45:17 2001 Begin
- Standard_Real Norm;
- func.Value(Usol, Norm);
- if (Abs(Norm) < Tolang) {
-// Modified by Sergey KHROMOV - Thu Apr 5 17:45:19 2001 End
- gp_Pnt2d Origine;
- gp_Vec2d Vect1;
- gp_Vec2d Vect2;
- TheCurveTool::D2(Cu1,Usol,Origine,Vect1,Vect2);
- gp_Vec2d Vdir(ThePoint.XY()-Origine.XY());
- Standard_Real sign1 = Vect1.Dot(Vdir);
- Standard_Real sign2 = Vect2.Crossed(Vdir);
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() &&
- ((sign1 >= 0. && sign2 <= 0.) || (sign1 <= 0. && sign2 <= 0.))) ||
- (Qualified1.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
- (Qualified1.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
- WellDone = Standard_True;
- linsol = gp_Lin2d(Origine,gp_Dir2d(Vdir));
- qualifier1 = Qualified1.Qualifier();
- qualifier2 = GccEnt_noqualifier;
- pnttg1sol = Origine;
- pnttg2sol = ThePoint;
- pararg1 = Usol;
- par1sol = 0.;
- pararg2 = ThePoint.Distance(Origine);
- par2sol = 0.;
- }
- }
- }
- }
-
-Standard_Boolean GccIter_Lin2d2Tan::
- IsDone () const { return WellDone; }
-
-gp_Lin2d GccIter_Lin2d2Tan::
- ThisSolution () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
- return linsol;
-}
-
-void GccIter_Lin2d2Tan::
- WhichQualifier (GccEnt_Position& Qualif1 ,
- GccEnt_Position& Qualif2 ) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- Qualif1 = qualifier1;
- Qualif2 = qualifier2;
- }
-}
-
-void GccIter_Lin2d2Tan::
- Tangency1 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& Pnt) const {
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = par1sol;
- ParArg = pararg1;
- Pnt = pnttg1sol;
- }
- }
-
-void GccIter_Lin2d2Tan::
- Tangency2 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& Pnt) const {
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = par2sol;
- ParArg = pararg2;
- Pnt = pnttg2sol;
- }
- }
-
+++ /dev/null
--- Created on: 1991-04-24
--- Created by: Remi GILET
--- Copyright (c) 1991-1999 Matra Datavision
--- Copyright (c) 1999-2014 OPEN CASCADE SAS
---
--- This file is part of Open CASCADE Technology software library.
---
--- This library is free software; you can redistribute it and/or modify it under
--- the terms of the GNU Lesser General Public License version 2.1 as published
--- by the Free Software Foundation, with special exception defined in the file
--- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
--- distribution for complete text of the license and disclaimer of any warranty.
---
--- Alternatively, this file may be used under the terms of Open CASCADE
--- commercial license or contractual agreement.
-
-generic class Lin2dTanObl from GccIter (
- TheCurve as any;
- TheCurveTool as any;
- TheQualifiedCurve as any) -- as QualifiedCurve from GccEnt
- -- (TheCurve)
-
- ---Purpose: This class implements the algorithms used to
- -- create 2d line tangent to a curve QualifiedCurv and
- -- doing an angle Angle with a line TheLin.
- -- The angle must be in Radian.
-
-uses Lin2d from gp,
- Pnt2d from gp,
- Position from GccEnt
-
-raises BadQualifier from GccEnt,
- NotDone from StdFail,
- IsParallel from GccIter
-
-private class FuncTObl instantiates FunctionTanObl from GccIter(
- TheCurve,TheCurveTool);
-
-is
-
-Create (Qualified1 : TheQualifiedCurve ;
- TheLin : Lin2d ;
- Param1 : Real ;
- TolAng : Real ;
- Angle : Real = 0 ) returns Lin2dTanObl from GccIter
-raises BadQualifier from GccEnt;
- ---Purpose: This class implements the algorithm used to
- -- create 2d line tangent to a curve and doing an
- -- angle Angle with the line TheLin.
- -- Angle must be in Radian.
- -- Param2 is the initial guess on the curve QualifiedCurv.
- -- Tolang is the angular tolerance.
-
--- ........................................................................
-
-IsDone(me) returns Boolean
-is static;
- ---Purpose: This method returns true when there is a solution
- -- and false in the other cases.
-
-ThisSolution(me) returns Lin2d
-raises NotDone from StdFail
-is static;
- -- Returns the solution.
-
-WhichQualifier(me ;
- Qualif1 : out Position from GccEnt)
-raises NotDone from StdFail
-is static;
- -- It returns the informations about the qualifiers of the tangency
- -- arguments concerning the solution number Index.
- -- It returns the real qualifiers (the qualifiers given to the
- -- constructor method in case of enclosed, enclosing and outside
- -- and the qualifiers computedin case of unqualified).
-
-Tangency1(me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
-raises NotDone from StdFail
-is static;
- -- Returns informations about the tangency point between the
- -- result and the first argument.
- -- ParSol is the intrinsic parameter of the point ParSol on the solution
- -- curv.
- -- ParArg is the intrinsic parameter of the point PntSol on the argument
- -- curv.
-
-Intersection2 (me ;
- ParSol,ParArg : out Real ;
- PntSol : out Pnt2d)
-raises NotDone from StdFail, IsParallel from GccIter
-is static;
- -- Returns informations about the center (on the curv) of the
- -- result and the third argument.
-
-IsParallel2(me) returns Boolean
-raises NotDone from StdFail
-is static;
- -- Returns informations about the center (on the curv) of the
- -- result and the third argument.
-
-fields
-
- WellDone : Boolean;
- -- True if the algorithm succeeded.
-
- Paral2 : Boolean;
- -- True if the solution is parallel to the second argument (Angle = 0).
-
- linsol : Lin2d;
- ---Purpose : The solution.
-
- qualifier1 : Position from GccEnt;
- -- The qualifiers of the first argument.
-
- pnttg1sol : Pnt2d;
- -- The tangency point between the solution and the first argument on
- -- the solution.
-
- pntint2sol : Pnt2d;
- -- The tangency point between the solution and the second argument on
- -- the solution.
-
- par1sol : Real;
- -- The parameter of the tangency point between the solution and the
- -- first argument on the solution.
-
- par2sol : Real;
- -- The parameter of the intersection point between the solution and the
- -- second argument on the solution.
-
- pararg1 : Real;
- -- The parameter of the tangency point between the solution and the first
- -- argument on the first argument.
-
- pararg2 : Real;
- -- The parameter of the intersection point between the solution and
- -- the second argument on the second argument.
-
-end Lin2dTanObl;
+++ /dev/null
-// Created on: 1991-12-20
-// Created by: Remi GILET
-// Copyright (c) 1991-1999 Matra Datavision
-// Copyright (c) 1999-2014 OPEN CASCADE SAS
-//
-// This file is part of Open CASCADE Technology software library.
-//
-// This library is free software; you can redistribute it and/or modify it under
-// the terms of the GNU Lesser General Public License version 2.1 as published
-// by the Free Software Foundation, with special exception defined in the file
-// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-// distribution for complete text of the license and disclaimer of any warranty.
-//
-// Alternatively, this file may be used under the terms of Open CASCADE
-// commercial license or contractual agreement.
-
-//========================================================================
-// CREATION D UNE LIGNE TANGENTE A UNE COURBE ET PARALLELE A UNE DROITE. +
-//========================================================================
-
-#include <IntAna2d_AnaIntersection.hxx>
-#include <IntAna2d_IntPoint.hxx>
-#include <GccIter_IsParallel.hxx>
-#include <StdFail_NotDone.hxx>
-#include <GccEnt_BadQualifier.hxx>
-#include <math_FunctionRoot.hxx>
-#include <gp_XY.hxx>
-#include <gp_Dir2d.hxx>
-#include <gp_Vec2d.hxx>
-#include <gp_Circ2d.hxx>
-
-GccIter_Lin2dTanObl::
- GccIter_Lin2dTanObl (const TheQualifiedCurve& Qualified1 ,
- const gp_Lin2d& TheLin ,
- const Standard_Real Param1 ,
- const Standard_Real TolAng ,
- const Standard_Real Angle ) {
-
- par1sol = 0.;
- pararg1 = 0.;
- WellDone = Standard_False;
- if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
- Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
- GccEnt_BadQualifier::Raise();
- return;
- }
- Paral2 = Standard_False;
- TheCurve Cu1 = Qualified1.Qualified();
- Standard_Real U1 = TheCurveTool::FirstParameter(Cu1);
- Standard_Real U2 = TheCurveTool::LastParameter(Cu1);
- gp_Dir2d Dir(TheLin.Direction());
- Standard_Real A = Dir.X();
- Standard_Real B = Dir.Y();
- gp_Dir2d TheDirection(Dir);
- if (Abs(Angle) > Abs(TolAng)) {
- if (Abs(Abs(Angle)-M_PI) <= Abs(TolAng)) {
- Paral2 = Standard_True;
- TheDirection = Dir.Reversed();
- }
- else if (Abs(Angle-M_PI/2) <= Abs(TolAng)) { TheDirection=gp_Dir2d(-B,A); }
- else if (Abs(Angle+M_PI/2) <= Abs(TolAng)) { TheDirection=gp_Dir2d(B,-A); }
- else {
- TheDirection=gp_Dir2d(A*Cos(Angle)-B*Sin(Angle),
- A*Sin(Angle)+B*Cos(Angle));
- }
- }
- else { Paral2 = Standard_True; }
- GccIter_FuncTObl func(Cu1,TheDirection);
- math_FunctionRoot sol(func,Param1,
- TheCurveTool::EpsX(Cu1,Abs(TolAng)),U1,U2,100);
- if (sol.IsDone()) {
- Standard_Real Usol = sol.Root();
- gp_Pnt2d Origine;
- gp_Vec2d Vect1,Vect2;
- TheCurveTool::D2(Cu1,Usol,Origine,Vect1,Vect2);
- Standard_Real sign1 = Vect1.XY().Dot(TheDirection.XY());
- Standard_Real sign2 = Vect2.XY().Crossed(TheDirection.XY());
- if (Qualified1.IsUnqualified() ||
- (Qualified1.IsEnclosing() && sign2<=0.) ||
- (Qualified1.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
- (Qualified1.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
- WellDone = Standard_True;
- linsol = gp_Lin2d(Origine,TheDirection);
- pnttg1sol = Origine;
- qualifier1 = Qualified1.Qualifier();
- pararg1 = Usol;
- par1sol = 0.;
- if (!Paral2) {
- IntAna2d_AnaIntersection Intp(linsol,TheLin);
- if (Intp.IsDone() && !Intp.IsEmpty()) {
- if (Intp.NbPoints()==1) {
- pntint2sol = Intp.Point(1).Value();
- par2sol = gp_Vec2d(linsol.Direction()).
- Dot(gp_Vec2d(linsol.Location(),pntint2sol));
- pararg2 = gp_Vec2d(TheLin.Direction()).
- Dot(gp_Vec2d(TheLin.Location(),pntint2sol));
- }
- }
- }
- }
- }
- }
-
-Standard_Boolean GccIter_Lin2dTanObl::
- IsDone () const { return WellDone; }
-
-gp_Lin2d GccIter_Lin2dTanObl::ThisSolution () const
-{
- if (!WellDone) StdFail_NotDone::Raise();
-
- return linsol;
-}
-
-void GccIter_Lin2dTanObl::
- WhichQualifier (GccEnt_Position& Qualif1) const
-{
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- Qualif1 = qualifier1;
- }
-}
-
-Standard_Boolean GccIter_Lin2dTanObl::
- IsParallel2 () const { return Paral2; }
-
-void GccIter_Lin2dTanObl::
- Tangency1 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol) const {
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else {
- ParSol = par1sol;
- ParArg = pararg1;
- PntSol = gp_Pnt2d(pnttg1sol);
- }
- }
-
-void GccIter_Lin2dTanObl::
- Intersection2 (Standard_Real& ParSol ,
- Standard_Real& ParArg ,
- gp_Pnt2d& PntSol ) const {
- if (!WellDone) { StdFail_NotDone::Raise(); }
- else if (Paral2) { GccIter_IsParallel::Raise(); }
- else {
- PntSol = pntint2sol;
- ParSol = par2sol;
- ParArg = pararg2;
- }
- }
-
uses GccEnt,
GccAna,
- GccIter,
StdFail,
Geom2dInt,
Geom2d,
Adaptor3d,
Adaptor2d,
TColgp,
- gp
+ gp,
+ math
is
class Circ2dTanOnRadGeo;
-class MyC2d3Tan instantiates Circ2d3Tan from GccIter
- (Curve from Geom2dAdaptor,
- CurveTool from Geom2dGcc,
- QCurve from Geom2dGcc);
-
-class MyC2d2TanOn instantiates Circ2d2TanOn from GccIter
- (Curve from Geom2dAdaptor,
- CurveTool from Geom2dGcc,
- QCurve from Geom2dGcc);
-
-class MyL2dTanObl instantiates Lin2dTanObl from GccIter
- (Curve from Geom2dAdaptor,
- CurveTool from Geom2dGcc,
- QCurve from Geom2dGcc);
-
-class MyL2d2Tan instantiates Lin2d2Tan from GccIter
- (Curve from Geom2dAdaptor,
- CurveTool from Geom2dGcc,
- QCurve from Geom2dGcc);
+class Circ2d3TanIter;
+private class FunctionTanCuCuCu;
+
+class Circ2d2TanOnIter;
+private class FunctionTanCuCuOnCu;
+
+class Lin2dTanOblIter;
+private class FunctionTanObl;
+
+class Lin2d2TanIter;
+private class FunctionTanCuCu;
+private class FunctionTanCuPnt;
+private class FunctionTanCirCu;
+
+enumeration Type1 is CuCuCu,CiCuCu,CiCiCu,CiLiCu,LiLiCu,LiCuCu;
+
+enumeration Type2 is CuCuOnCu,CiCuOnCu,LiCuOnCu,CuPtOnCu,
+ CuCuOnLi,CiCuOnLi,LiCuOnLi,CuPtOnLi,
+ CuCuOnCi,CiCuOnCi,LiCuOnCi,CuPtOnCi;
+
+enumeration Type3 is CuCu,CiCu;
+
+exception IsParallel inherits DomainError from Standard;
Unqualified(Obj : Curve from Geom2dAdaptor) returns QualifiedCurve;
---Purpose: Constructs such a qualified curve that the relative
Circ2d from gp,
Circ2d2TanOn from GccAna,
Circ2d2TanOnGeo from Geom2dGcc,
- MyC2d2TanOn from Geom2dGcc,
+ Circ2d2TanOnIter from Geom2dGcc,
Position from GccEnt,
Array1OfPosition from GccEnt
-- CircAna : Circ2d2TanOn from GccAna;
-- CircGeo : Circ2d2TanOnGeo from Geom2dGcc;
--- CircIter : MyC2d2TanOn from Geom2dGcc;
+-- CircIter : Circ2d2TanOnIter from Geom2dGcc;
-- TypeAna : Boolean;
end Circ2d2TanOn;
#include <Geom2dAdaptor_Curve.hxx>
#include <GccAna_Circ2d2TanOn.hxx>
#include <Geom2dGcc_Circ2d2TanOnGeo.hxx>
-#include <Geom2dGcc_MyC2d2TanOn.hxx>
+#include <Geom2dGcc_Circ2d2TanOnIter.hxx>
#include <Geom2dGcc_QCurve.hxx>
#include <GccEnt_BadQualifier.hxx>
#include <Geom2d_Circle.hxx>
}
}
}
-
-//=============================================================================
-// Appel a GccIter. +
-//=============================================================================
-
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
Geom2dGcc_QCurve Qc2(C2,Qualified2.Qualifier());
if ((Type3 == GeomAbs_Circle || Type3 == GeomAbs_Line)) {
if (Type3 == GeomAbs_Circle) {
Handle(Geom2d_Circle) CCon = Handle(Geom2d_Circle)::DownCast(Con);
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Qc2,CCon->Circ2d(),
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Qc2,CCon->Circ2d(),
Param1,Param2,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
}
else {
Handle(Geom2d_Line) LLon = Handle(Geom2d_Line)::DownCast(Con);
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Qc2,LLon->Lin2d(),
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Qc2,LLon->Lin2d(),
Param1,Param2,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
Circ.Tangency2(par2sol(1),pararg2(1),pnttg2sol(1));
}
}
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Qc2,OnCurve,
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Qc2,OnCurve,
Param1,Param2,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
Results(CircGeo);
}
}
- }
-
-//=============================================================================
-// Appel a GccIter. +
-//=============================================================================
-
+ }
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
if ((Type3 == GeomAbs_Circle || Type3 == GeomAbs_Line)) {
if (Type3 == GeomAbs_Circle) {
Handle(Geom2d_Circle) CCon = Handle(Geom2d_Circle)::DownCast(Con);
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Point->Pnt2d(),CCon->Circ2d(),
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Point->Pnt2d(),CCon->Circ2d(),
Param1,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
}
else {
Handle(Geom2d_Line) LLon = Handle(Geom2d_Line)::DownCast(Con);
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Point->Pnt2d(),LLon->Lin2d(),
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Point->Pnt2d(),LLon->Lin2d(),
Param1,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
}
}
else {
- Geom2dGcc_MyC2d2TanOn Circ(Qc1,Point->Pnt2d(),OnCurve,
+ Geom2dGcc_Circ2d2TanOnIter Circ(Qc1,Point->Pnt2d(),OnCurve,
Param1,ParamOn,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
--- /dev/null
+-- Created on: 1991-03-29
+-- Created by: Remi GILET
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+class Circ2d2TanOnIter from Geom2dGcc
+
+ ---Purpose: This class implements the algorithms used to
+ -- create 2d circles TANgent to 2 entities and
+ -- having the center ON a curv.
+ -- The order of the tangency argument is always
+ -- QualifiedCirc, QualifiedLin, QualifiedCurv, Pnt2d.
+ -- the arguments are :
+ -- - The two tangency arguments.
+ -- - The center line.
+ -- - The parameter for each tangency argument which
+ -- is a curve.
+ -- - The tolerance.
+
+-- inherits Entity from Standard
+
+uses Pnt2d from gp,
+ Lin2d from gp,
+ Circ2d from gp,
+ QualifiedCirc from GccEnt,
+ QualifiedLin from GccEnt,
+ Position from GccEnt,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc,
+ QCurve from Geom2dGcc
+
+raises NotDone from StdFail
+
+is
+
+-- On a 2d line ..........................................................
+
+Create(Qualified1 : QualifiedCirc ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnLine : Lin2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d circle and a curve and
+ -- having the center ON a 2d line.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QualifiedLin ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnLine : Lin2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d line and a curve and
+ -- having the center ON a 2d line.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnLine : Lin2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to two curves and
+ -- having the center ON a 2d line.
+ -- Param1 is the initial guess on the first QualifiedCurv.
+ -- Param2 is the initial guess on the first QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Point2 : Pnt2d ;
+ OnLine : Lin2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d point and a curve and
+ -- having the center ON a 2d line.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+
+-- -- On a 2d Circle .....................................................
+
+Create(Qualified1 : QualifiedCirc ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCirc : Circ2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d circle and a curve and
+ -- having the center ON a 2d circle.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QualifiedLin ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCirc : Circ2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d line and a curve and
+ -- having the center ON a 2d circle.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCirc : Circ2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to two curves and
+ -- having the center ON a 2d circle.
+ -- Param1 is the initial guess on the first QualifiedCurv.
+ -- Param2 is the initial guess on the first QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Point2 : Pnt2d ;
+ OnCirc : Circ2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d point and a curve and
+ -- having the center ON a 2d circle.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolerance is used for the limit cases.
+
+-- -- On a curve .....................................................
+
+Create(Qualified1 : QualifiedCirc ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCurv : Curve from Geom2dAdaptor;
+ Param1 : Real ;
+ Param2 : Real ;
+ ParamOn : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d circle and a curve and
+ -- having the center ON a 2d curve.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- ParamOn is the initial guess on the center curve OnCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QualifiedLin ;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCurve : Curve from Geom2dAdaptor;
+ Param1 : Real ;
+ Param2 : Real ;
+ ParamOn : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d line and a curve and
+ -- having the center ON a 2d curve.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- ParamOn is the initial guess on the center curve OnCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Point2 : Pnt2d ;
+ OnCurve : Curve from Geom2dAdaptor;
+ Param1 : Real ;
+ ParamOn : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to a 2d Point and a curve and
+ -- having the center ON a 2d curve.
+ -- Param1 is the initial guess on the curve QualifiedCurv.
+ -- ParamOn is the initial guess on the center curve OnCurv.
+ -- Tolerance is used for the limit cases.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Qualified2 : QCurve from Geom2dGcc;
+ OnCurve : Curve from Geom2dAdaptor;
+ Param1 : Real ;
+ Param2 : Real ;
+ ParamOn : Real ;
+ Tolerance : Real ) returns Circ2d2TanOnIter from Geom2dGcc ;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles TANgent to two curves and
+ -- having the center ON a 2d curve.
+ -- Param1 is the initial guess on the first curve QualifiedCurv.
+ -- Param1 is the initial guess on the second curve QualifiedCurv.
+ -- ParamOn is the initial guess on the center curve OnCurv.
+ -- Tolerance is used for the limit cases.
+
+-- -- ....................................................................
+
+IsDone(me) returns Boolean
+is static;
+ ---Purpose: This method returns True if the construction
+ -- algorithm succeeded.
+
+ThisSolution(me) returns Circ2d
+ ---Purpose: Returns the solution.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+WhichQualifier(me ;
+ Qualif1 : out Position from GccEnt;
+ Qualif2 : out Position from GccEnt)
+raises NotDone from StdFail
+is static;
+ -- It returns the informations about the qualifiers of the tangency
+ -- arguments concerning the solution number Index.
+ -- It returns the real qualifiers (the qualifiers given to the
+ -- constructor method in case of enclosed, enclosing and outside
+ -- and the qualifiers computedin case of unqualified).
+
+Tangency1(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns information about the tangency point between
+ -- the result and the first argument.
+ -- ParSol is the intrinsic parameter of the point PntSol
+ -- on the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol
+ -- on the argument curv.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+Tangency2(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns information about the tangency point between
+ -- the result and the second argument.
+ -- ParSol is the intrinsic parameter of the point PntSol
+ -- on the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol
+ -- on the argument curv.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+CenterOn3 (me ;
+ ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns information about the center (on the curv) of the
+ -- result and the third argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+IsTheSame1(me) returns Boolean
+ -- Returns True if the solution is equal to the first argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+IsTheSame2(me) returns Boolean
+ -- Returns True if the solution is equal to the second argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+fields
+
+ WellDone : Boolean;
+ ---Purpose: True if the algorithm succeeded.
+
+ cirsol : Circ2d from gp;
+ -- The solutions.
+
+ qualifier1 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ qualifier2 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ TheSame1 : Boolean;
+ ---Purpose: True if the solution and the first argument are the
+ -- same in the tolerance of Tolerance.
+ -- False in the other cases.
+
+ TheSame2 : Boolean;
+ ---Purpose: True if the solution and the second argument are the
+ -- same in the tolerance of Tolerance.
+ -- False in the other cases.
+
+ pnttg1sol : Pnt2d;
+ ---Purpose: The tangency point between the solution and the first
+ -- argument on the solution.
+
+ pnttg2sol : Pnt2d;
+ ---Purpose: The tangency point between the solution and the second
+ -- argument on the solution.
+
+ pntcen : Pnt2d;
+ ---Purpose: The center point of the solution on the third argument.
+
+ par1sol : Real;
+ ---Purpose: The parameter of the tangency point between the
+ -- solution and the first argument on the solution.
+
+ par2sol : Real;
+ ---Purpose: The parameter of the tangency point between the
+ -- solution and the second argument on the solution.
+
+ pararg1 : Real;
+ ---Purpose: The parameter of the tangency point between the
+ -- solution and the first argument on the first argument.
+
+ pararg2 : Real;
+ ---Purpose: The parameter of the tangency point between the
+ -- solution and the second argument on the second argument.
+
+ parcen3 : Real;
+ ---Purpose: The parameter of the center point of the solution
+ -- on the second argument.
+
+end Circ2d2TanOnIter;
--- /dev/null
+// Created on: 1991-12-13
+// Created by: Remi GILET
+// Copyright (c) 1991-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+//=========================================================================
+// Creation d un cercle tangent a deux elements : Droite. +
+// Cercle. +
+// Point. +
+// Courbes. +
+// centre sur un troisieme : Droite. +
+// Cercle. +
+// Courbes. +
+//=========================================================================
+
+#include <Geom2dGcc_Circ2d2TanOnIter.ixx>
+
+#include <gp_Dir2d.hxx>
+#include <gp_Ax2d.hxx>
+#include <gp.hxx>
+#include <StdFail_NotDone.hxx>
+#include <GccEnt_BadQualifier.hxx>
+#include <math_FunctionSetRoot.hxx>
+#include <ElCLib.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+#include <Geom2dGcc_FunctionTanCuCuOnCu.hxx>
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Lin2d& OnLine ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolang ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ Standard_Real Tol = Abs(Tolang);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Dir2d dirx(1.,0.);
+ gp_Lin2d L1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 1.e-15;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Tolang);
+ tol(3) = tol(1);
+ tol(4) = tol(1);
+ gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(L1,Cu2,OnLine,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // gp_Vec2d Tan1,Tan2,Nor1,Nor2;
+ gp_Vec2d Tan1,Tan2;
+ ElCLib::D1(Ufirst(1),L1,point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ gp_Vec2d Tan3(OnLine.Direction().XY());
+ gp_Pnt2d point3(OnLine.Location().XY()+Ufirst(3)*Tan3.XY());
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Lin2d& OnLine ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = 1.e-15;
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Cu2,OnLine,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Vec2d Tan1,Tan2;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ gp_Vec2d Tan3(OnLine.Direction().XY());
+ gp_Pnt2d point3(OnLine.Location().XY()+Ufirst(3)*Tan3.XY());
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle1,angle2;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Pnt2d& Point2 ,
+ const gp_Lin2d& OnLine ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = RealFirst();
+ Umin(3) = 0.;
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = RealLast();
+ Umax(3) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = 1.e-15;
+ tol(3) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point3 = ElCLib::Value(Param2,OnLine);
+ Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Point2,OnLine,Ufirst(3));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Pnt2d point1,point3;
+ gp_Vec2d Tan1,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ ElCLib::D1(Ufirst(2),OnLine,point3,Tan3);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(Point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real angle1;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = GccEnt_noqualifier;
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = Point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Lin2d& OnLine ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ gp_Circ2d C1 = Qualified1.Qualified();
+ Standard_Real R1 = C1.Radius();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = 1.e-15;
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = ElCLib::Value(Param3,OnLine);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(C1,Cu2,OnLine,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // gp_Vec2d Tan1,Tan2,Nor1,Nor2;
+ gp_Vec2d Tan1,Tan2,Nor2;
+ ElCLib::D2(Ufirst(1),C1,point1,Tan1,Nor2);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+#ifdef DEB
+ gp_Vec2d Tan3(OnLine.Direction().XY());
+#else
+ OnLine.Direction().XY();
+#endif
+ point3 = ElCLib::Value(Ufirst(1),OnLine);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real dist = C1.Location().Distance(point3);
+ Standard_Real Rsol = cirsol.Radius();
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Circ2d& OnCirc ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ gp_Circ2d C1 = Qualified1.Qualified();
+ Standard_Real R1 = C1.Radius();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = 2.e-15*M_PI;
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = ElCLib::Value(Param3,OnCirc);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(C1,Cu2,OnCirc,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // gp_Vec2d Tan1,Tan2,Nor1;
+ gp_Vec2d Tan1,Tan2;
+ ElCLib::D1(Ufirst(1),C1,point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+#ifdef DEB
+ gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
+#endif
+ point3 = ElCLib::Value(Ufirst(3),OnCirc);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real dist = C1.Location().Distance(point3);
+ Standard_Real Rsol = cirsol.Radius();
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Circ2d& OnCirc ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ gp_Lin2d L1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 1.e-15;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = 2.e-15*M_PI;
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = ElCLib::Value(Param3,OnCirc);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(L1,Cu2,OnCirc,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Pnt2d point1,point2;
+ gp_Vec2d Tan1,Tan2;
+ ElCLib::D1(Ufirst(1),L1,point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+#ifdef DEB
+ gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
+#endif
+ point3 = ElCLib::Value(Ufirst(3),OnCirc);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Circ2d& OnCirc ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = RealFirst();
+ Umin(4) = 0.;
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = RealLast();
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = 2.e-15*M_PI;
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ Standard_Real R1 = OnCirc.Radius();
+ gp_Pnt2d point3(OnCirc.Location().XY()+R1*gp_XY(Cos(Param3),Sin(Param3)));
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Cu2,OnCirc,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // gp_Vec2d Tan1,Tan2,Nor1;
+ gp_Vec2d Tan1,Tan2;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+#ifdef DEB
+ gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
+#endif
+ point3 = gp_Pnt2d(OnCirc.Location().XY()+
+ R1*gp_XY(Cos(Ufirst(3)),Sin(Ufirst(3))));
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle1,angle2;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = pnttg2sol.Distance(pnttg1sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Pnt2d& Point2 ,
+ const gp_Circ2d& OnCirc ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = RealFirst();
+ Umin(3) = 0.;
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = RealLast();
+ Umax(3) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = 2.e-15*M_PI;
+ tol(3) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point3 = ElCLib::Value(Param2,OnCirc);
+ Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Point2,OnCirc,Ufirst(3));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Pnt2d point1,point3;
+ gp_Vec2d Tan1,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ ElCLib::D1(Ufirst(2),OnCirc,point3,Tan3);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(Point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real angle1;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = GccEnt_noqualifier;
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = Point2;
+ pararg2 = 0.;
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dAdaptor_Curve& OnCurv ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(OnCurv);
+ Umin(4) = 0.;
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(OnCurv);
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(OnCurv,Abs(Tolerance));
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = Geom2dGcc_CurveTool::Value(OnCurv,Param3);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Cu2,OnCurv,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Vec2d Tan1,Tan2,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle1,angle2;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = pnttg2sol.Distance(pnttg1sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dAdaptor_Curve& OnCurv ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real ParamOn ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Circ2d C1 = Qualified1.Qualified();
+ Standard_Real R1 = C1.Radius();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(OnCurv);
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(OnCurv);
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = ParamOn;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(OnCurv,Abs(Tolerance));
+ tol(4) = Tol/10.;;
+ gp_Pnt2d point1 = ElCLib::Value(Param1,C1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = Geom2dGcc_CurveTool::Value(OnCurv,ParamOn);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(C1,Cu2,OnCurv,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Vec2d Tan1,Tan2,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
+ ElCLib::D1(Ufirst(1),C1,point1,Tan1);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ gp_Dir2d dirx(1.,0.);
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1.XY(),point3.XY());
+ gp_Vec2d Vec2(point2.XY(),point3.XY());
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real dist = C1.Location().Distance(point3);
+ Standard_Real Rsol = cirsol.Radius();
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dAdaptor_Curve& OnCurv ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real ParamOn ,
+ const Standard_Real Tolerance ) {
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ gp_Lin2d L1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ math_Vector Umin(1,4);
+ math_Vector Umax(1,4);
+ math_Vector Ufirst(1,4);
+ math_Vector tol(1,4);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(OnCurv);
+ Umin(4) = 0.;
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(OnCurv);
+ Umax(4) = RealLast();
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = ParamOn;
+ tol(1) = 1.e-15;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(OnCurv,Abs(Tolerance));
+ tol(4) = Tol/10.;
+ gp_Pnt2d point1 = ElCLib::Value(Param1,L1);
+ gp_Pnt2d point2 = Geom2dGcc_CurveTool::Value(Cu2,Param2);
+ gp_Pnt2d point3 = Geom2dGcc_CurveTool::Value(OnCurv,ParamOn);
+ Ufirst(4) = (point3.Distance(point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(L1,Cu2,OnCurv,Ufirst(4));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ gp_Vec2d Tan1,Tan2,Tan3;
+ ElCLib::D1(Ufirst(1),L1,point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ gp_Vec2d Vec2(point2,point3);
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real angle2;
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ angle2 = Vec2.Angle(Tan2);
+ }
+ else { angle2 = 0.; }
+ Standard_Real pscal=point3.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&angle2<=0.)||
+ (Qualified2.IsOutside() && angle2 >= 0) ||
+ (Qualified2.IsEnclosed() && angle2 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = point2;
+ pararg2 = Ufirst(2);
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d2TanOnIter::
+Geom2dGcc_Circ2d2TanOnIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Pnt2d& Point2 ,
+ const Geom2dAdaptor_Curve& OnCurv ,
+ const Standard_Real Param1 ,
+ const Standard_Real ParamOn ,
+ const Standard_Real Tolerance )
+{
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ parcen3 = 0.;
+
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Standard_Real Tol = Abs(Tolerance);
+ gp_Dir2d dirx(1.,0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = RealFirst();
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(OnCurv);
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = RealLast();
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(OnCurv);
+ Ufirst(1) = Param1;
+ Ufirst(2) = ParamOn;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(OnCurv,Abs(Tolerance));
+ tol(3) = Tol/10.;
+ gp_Pnt2d point1 = Geom2dGcc_CurveTool::Value(Cu1,Param1);
+ gp_Pnt2d point3 = Geom2dGcc_CurveTool::Value(OnCurv,ParamOn);
+ Ufirst(3) = (point3.Distance(Point2)+point3.Distance(point1))/2.;
+ Geom2dGcc_FunctionTanCuCuOnCu Func(Cu1,Point2,OnCurv,Ufirst(3));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ Func.Value(Ufirst,Umin);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // gp_Vec2d Tan1,Tan2,Tan3;
+ gp_Vec2d Tan1,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(OnCurv,Ufirst(3),point3,Tan3);
+ Standard_Real dist1 = point3.Distance(point1);
+ Standard_Real dist2 = point3.Distance(Point2);
+ if ( Abs(dist1-dist2)/2. <= Tol) {
+ cirsol = gp_Circ2d(gp_Ax2d(point3,dirx),(dist1+dist2)/2.);
+ Standard_Real normetan1 = Tan1.Magnitude();
+ gp_Vec2d Vec1(point1,point3);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real angle1;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ angle1 = Vec1.Angle(Tan1);
+ }
+ else { angle1 = 0.; }
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&angle1<=0.)||
+ (Qualified1.IsOutside() && angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = GccEnt_noqualifier;
+ pnttg1sol = point1;
+ pararg1 = Ufirst(1);
+ par1sol = ElCLib::Parameter(cirsol,pnttg1sol);
+ pnttg2sol = Point2;
+ pararg2 = 0.;
+ par2sol = ElCLib::Parameter(cirsol,pnttg2sol);
+ pntcen = point3;
+ parcen3 = Ufirst(3);
+ WellDone = Standard_True;
+ }
+ }
+ }
+}
+
+Standard_Boolean Geom2dGcc_Circ2d2TanOnIter::
+IsDone () const{ return WellDone; }
+
+gp_Circ2d Geom2dGcc_Circ2d2TanOnIter::
+ThisSolution () const{ return cirsol; }
+
+void Geom2dGcc_Circ2d2TanOnIter::
+WhichQualifier (GccEnt_Position& Qualif1 ,
+ GccEnt_Position& Qualif2 ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ Qualif1 = qualifier1;
+ Qualif2 = qualifier2;
+ }
+}
+
+void Geom2dGcc_Circ2d2TanOnIter::
+Tangency1 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ if (TheSame1 == 0) {
+ ParSol = 0;
+ ParArg = 0;
+ PntSol = pnttg1sol;
+ }
+ else { StdFail_NotDone::Raise(); }
+ }
+}
+
+void Geom2dGcc_Circ2d2TanOnIter::
+Tangency2 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = 0;
+ ParArg = 0;
+ PntSol = pnttg2sol;
+ }
+}
+
+void Geom2dGcc_Circ2d2TanOnIter::
+CenterOn3 (Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParArg = 0;
+ PntSol = pntcen;
+ }
+}
+
+Standard_Boolean Geom2dGcc_Circ2d2TanOnIter::
+IsTheSame1 () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+
+ if (TheSame1 == 0)
+ return Standard_False;
+ return Standard_True;
+}
+
+
+Standard_Boolean Geom2dGcc_Circ2d2TanOnIter::
+IsTheSame2 () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+ return Standard_False;
+}
Array1OfReal from TColStd,
Circ2d3Tan from GccAna,
Point from Geom2d,
- MyC2d3Tan from Geom2dGcc,
+ Circ2d3TanIter from Geom2dGcc,
Position from GccEnt,
Array1OfPosition from GccEnt
---Purpose: The parameter of the tangency point between the solution and the third
-- argument on the second argument.
-
--- CircAna : Circ2d2TanOn from GccAna;
--- CircIter : Circ2d2TanOn from GccIter;
--- TypeAna : Boolean;
-
end Circ2d3Tan;
#include <Geom2d_Line.hxx>
#include <Geom2d_Circle.hxx>
#include <Geom2dGcc_QCurve.hxx>
-#include <Geom2dGcc_MyC2d3Tan.hxx>
+#include <Geom2dGcc_Circ2d3TanIter.hxx>
#include <GccEnt_QualifiedCirc.hxx>
#include <GccEnt_QualifiedLin.hxx>
#include <StdFail_NotDone.hxx>
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
Geom2dGcc_QCurve Qc2(C2,Qualified2.Qualifier());
Geom2dGcc_QCurve Qc3(C3,Qualified3.Qualifier());
- Geom2dGcc_MyC2d3Tan Circ(Qc1,Qc2,Qc3,Param1,Param2,Param3,Tolerance);
+ Geom2dGcc_Circ2d3TanIter Circ(Qc1,Qc2,Qc3,Param1,Param2,Param3,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
if (WellDone) {
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
Geom2dGcc_QCurve Qc2(C2,Qualified2.Qualifier());
- Geom2dGcc_MyC2d3Tan Circ(Qc1,Qc2,Point->Pnt2d(),Param1,Param2,Tolerance);
+ Geom2dGcc_Circ2d3TanIter Circ(Qc1,Qc2,Point->Pnt2d(),Param1,Param2,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
if (WellDone) {
}
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
- Geom2dGcc_MyC2d3Tan Circ(Qc1,Point1->Pnt2d(),Point2->Pnt2d(),
+ Geom2dGcc_Circ2d3TanIter Circ(Qc1,Point1->Pnt2d(),Point2->Pnt2d(),
Param1,Tolerance);
WellDone = Circ.IsDone();
NbrSol = 1;
--- /dev/null
+-- Created on: 1991-03-29
+-- Created by: Remi GILET
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+class Circ2d3TanIter from Geom2dGcc
+
+ ---Purpose: This class implements the algorithms used to
+ -- create 2d circles tangent to 3 points/lines/circles/
+ -- curves with one curve or more.
+ -- The arguments of all construction methods are :
+ -- - The three qualifiied elements for the
+ -- tangency constrains (QualifiedCirc, QualifiedLine,
+ -- Qualifiedcurv, Points).
+ -- - A parameter for each QualifiedCurv.
+
+-- inherits Entity from Standard
+
+uses Pnt2d from gp,
+ Lin2d from gp,
+ Circ2d from gp,
+ QualifiedCirc from GccEnt,
+ QualifiedLin from GccEnt,
+ Position from GccEnt,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc,
+ QCurve from Geom2dGcc
+
+raises NotDone from StdFail
+
+is
+
+Create(Qualified1 : QualifiedCirc from GccEnt ;
+ Qualified2 : QualifiedCirc from GccEnt ;
+ Qualified3 : QCurve from Geom2dGcc;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to 2 circles and a curve.
+
+Create(Qualified1 : QualifiedCirc from GccEnt ;
+ Qualified2 : QCurve from Geom2dGcc;
+ Qualified3 : QCurve from Geom2dGcc;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a circle and 2 curves.
+
+Create(Qualified1 : QualifiedCirc from GccEnt ;
+ Qualified2 : QualifiedLin from GccEnt ;
+ Qualified3 : QCurve from Geom2dGcc;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a circle and a line and
+ -- a curve.
+
+Create(Qualified1 : QualifiedCirc from GccEnt ;
+ Qualified2 : QCurve from Geom2dGcc;
+ Point3 : Pnt2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a circle and a point and
+ -- a curve.
+
+Create(Qualified1 : QualifiedLin from GccEnt ;
+ Qualified2 : QualifiedLin from GccEnt ;
+ Qualified3 : QCurve from Geom2dGcc;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to 2 lines and a curve.
+
+Create(Qualified1 : QualifiedLin from GccEnt ;
+ Qualified2 : QCurve from Geom2dGcc;
+ Qualified3 : QCurve from Geom2dGcc;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a line and 2 curves.
+
+Create(Qualified1 : QualifiedLin from GccEnt ;
+ Qualified2 : QCurve from Geom2dGcc;
+ Point3 : Pnt2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a line and a curve
+ -- and a point.
+
+Create(Qualified1 : QCurve from Geom2dGcc;
+ Point1 : Pnt2d ;
+ Point2 : Pnt2d ;
+ Param1 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to a curve and 2 points.
+
+Create(Qualified1 : QCurve from Geom2dGcc ;
+ Qualified2 : QCurve from Geom2dGcc ;
+ Point2 : Pnt2d ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to 2 curves and a point.
+
+Create(Qualified1 : QCurve from Geom2dGcc ;
+ Qualified2 : QCurve from Geom2dGcc ;
+ Qualified3 : QCurve from Geom2dGcc ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Param3 : Real ;
+ Tolerance : Real )
+returns Circ2d3TanIter from Geom2dGcc;
+ ---Purpose: This method implements the algorithms used to
+ -- create 2d circles tangent to 3 curves.
+
+-- -- ....................................................................
+
+IsDone(me) returns Boolean
+is static;
+ ---Purpose: This method returns True if the construction
+ -- algorithm succeeded.
+
+ThisSolution(me) returns Circ2d
+ ---Purpose: Returns the solution.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+WhichQualifier(me ;
+ Qualif1 : out Position from GccEnt;
+ Qualif2 : out Position from GccEnt;
+ Qualif3 : out Position from GccEnt)
+raises NotDone from StdFail
+is static;
+ -- It returns the informations about the qualifiers of the tangency
+ -- arguments concerning the solution number Index.
+ -- It returns the real qualifiers (the qualifiers given to the
+ -- constructor method in case of enclosed, enclosing and outside
+ -- and the qualifiers computedin case of unqualified).
+
+Tangency1(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns informations about the tangency point between
+ -- the result and the first argument.
+ -- ParSol is the intrinsic parameter of the point PntSol
+ -- on the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol
+ -- on the argument curv.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+Tangency2(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns informations about the tangency point between
+ -- the result and the second argument.
+ -- ParSol is the intrinsic parameter of the point PntSol
+ -- on the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol
+ -- on the argument curv.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+Tangency3(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+ ---Purpose: Returns informations about the tangency point between
+ -- the result and the third argument.
+ -- ParSol is the intrinsic parameter of the point PntSol
+ -- on the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol
+ -- on the argument curv.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+IsTheSame1(me) returns Boolean
+ -- Returns True if the solution is equal to the first argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+IsTheSame2(me) returns Boolean
+ -- Returns True if the solution is equal to the second argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+IsTheSame3(me) returns Boolean
+ -- Returns True if the solution is equal to the third argument.
+raises NotDone from StdFail
+is static;
+ ---Purpose: It raises NotDone if the construction algorithm
+ -- didn't succeed.
+
+fields
+
+ WellDone : Boolean;
+ ---Purpose: True if the algorithm succeeded.
+
+ cirsol : Circ2d;
+ ---Purpose: The solutions.
+
+ qualifier1 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ qualifier2 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ qualifier3 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ TheSame1 : Boolean;
+ ---Purpose: True if the solution and the first argument are identical.
+ -- Two circles are identical if the difference between the
+ -- radius of one and the sum of the radius of the other and
+ -- the distance between the centers is less than Tolerance.
+ -- False in the other cases.
+
+ TheSame2 : Boolean;
+ ---Purpose: True if the solution and the second argument are identical.
+ -- Two circles are identical if the difference between the
+ -- radius of one and the sum of the radius of the other and
+ -- the distance between the centers is less than Tolerance.
+ -- False in the other cases.
+
+ TheSame3 : Boolean;
+ ---Purpose: True if the solution and the third argument are identical.
+ -- Two circles are identical if the difference between the
+ -- radius of one and the sum of the radius of the other and
+ -- the distance between the centers is less than Tolerance.
+ -- False in the other cases.
+
+ pnttg1sol : Pnt2d;
+ ---Purpose: The tangency point between the solution and the first
+ -- argument on the solution.
+
+ pnttg2sol : Pnt2d;
+ ---Purpose: The tangency point between the solution and the second
+ -- argument on the solution.
+
+ pnttg3sol : Pnt2d;
+ ---Purpose: The tangency point between the solution and the third
+ -- argument on the solution.
+
+ par1sol : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the first argument on the solution.
+
+ par2sol : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the second argument on the solution.
+
+ par3sol : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the third argument on the solution.
+
+ pararg1 : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the first argument on the first argument.
+
+ pararg2 : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the second argument on the second argument.
+
+ pararg3 : Real;
+ ---Purpose: The parameter of the tangency point between the solution
+ -- and the third argument on the second argument.
+
+end Circ2d3TanIter;
--- /dev/null
+// Created on: 1991-12-13
+// Created by: Remi GILET
+// Copyright (c) 1991-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+//=========================================================================
+// Creation d un cercle tangent a deux elements : Droite. +
+// Cercle. +
+// Point. +
+// Courbes. +
+// centre sur un troisieme : Droite. +
+// Cercle. +
+// Courbes. +
+//=========================================================================
+
+#include <Geom2dGcc_Circ2d3TanIter.ixx>
+
+#include <gp_Dir2d.hxx>
+#include <gp_Ax2d.hxx>
+#include <gp_Vec2d.hxx>
+#include <gp.hxx>
+#include <StdFail_NotDone.hxx>
+#include <GccEnt_BadQualifier.hxx>
+#include <math_FunctionSetRoot.hxx>
+#include <math_NewtonFunctionSetRoot.hxx>
+#include <GccAna_Circ2d3Tan.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+#include <Geom2dGcc_FunctionTanCuCuCu.hxx>
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(Cu1,Cu2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d point1,point2,point3;
+ gp_Vec2d Tan1,Tan2,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(1),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre = cirsol.Location();
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ Standard_Real Angle1 = Vec1.Angle(Tan1);
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&Angle1<=0.)||
+ (Qualified1.IsOutside() && Angle1 >= 0.) ||
+ (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
+ Angle1 = Vec2.Angle(Tan2);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&Angle1<=0.)||
+ (Qualified2.IsOutside() && Angle1 >= 0) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
+ Angle1 = Vec3.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = pnttg2sol.Distance(pnttg1sol);
+ pnttg3sol = point3;
+ pararg3 = Ufirst(3);
+ par3sol = pnttg3sol.Distance(pnttg1sol);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Circ2d C1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,Cu2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = 2*M_PI;
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(C1.Location());
+ Standard_Real R1 = C1.Radius();
+ gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
+ gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1))));
+ gp_Pnt2d point2,point3;
+ // gp_Vec2d Tan2,Tan3,Nor2,Nor3;
+ gp_Vec2d Tan2,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ Standard_Real dist = centre1.Distance(centre);
+ Standard_Real Rsol = cirsol.Radius();
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ Standard_Real Angle1 = Vec2.Angle(Tan2);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&Angle1<=0.)||
+ (Qualified2.IsOutside() && Angle1 >= 0) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
+ Angle1 = Vec3.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = Ufirst(3);
+ pnttg3sol = point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const GccEnt_QualifiedCirc& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Circ2d C1 = Qualified1.Qualified();
+ gp_Circ2d C2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,C2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(2) = 0.;
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = 2*M_PI;
+ Umax(2) = 2*M_PI;
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = 2.e-15*M_PI;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(C1.Location());
+ Standard_Real R1 = C1.Radius();
+ gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
+ gp_Vec2d Tan1(gp_XY(-Sin(Ufirst(1)),Cos(Ufirst(1))));
+ gp_Pnt2d centre2(C2.Location());
+ Standard_Real R2 = C2.Radius();
+ gp_Pnt2d point2(centre2.XY()+R2*gp_XY(Cos(Ufirst(2)),Sin(Ufirst(2))));
+ gp_Vec2d Tan2(gp_XY(-Sin(Ufirst(2)),Cos(Ufirst(2))));
+ gp_Pnt2d point3;
+ gp_Vec2d Tan3;
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ Standard_Real dist = centre1.Distance(centre);
+ Standard_Real Rsol = cirsol.Radius();
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ dist = centre2.Distance(centre);
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R2 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R2 && dist <= Rsol)) {
+ gp_Vec2d Vec(point3,centre);
+ Standard_Real Angle1 = Vec.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = Ufirst(3);
+ pnttg3sol = point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Lin2d L1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(L1,Cu2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = RealFirst();
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = RealLast();
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 1.e-15;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(L1.Location());
+ gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY());
+ gp_Pnt2d point2,point3;
+ gp_Vec2d Tan2,Tan3;
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+
+ // creation vaariables intermediaires pour WNT
+ gp_XY dummy1 = centre.XY()-L1.Location().XY();
+ gp_XY dummy2 (-L1.Direction().Y(),L1.Direction().X());
+ Standard_Real pscal=dummy1.Dot(dummy2);
+
+ gp_Vec2d Tan1(L1.Direction().XY());
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ gp_Vec2d Vec(point2,centre);
+ Standard_Real Angle1 = Vec.Angle(Tan2);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&Angle1<=0.)||
+ (Qualified2.IsOutside() && Angle1 >= 0) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
+ Vec = gp_Vec2d(point3,centre);
+ Angle1 = Vec.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = Ufirst(3);
+ pnttg3sol = point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const GccEnt_QualifiedLin& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ){
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Lin2d L1 = Qualified1.Qualified();
+ gp_Lin2d L2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(L1,L2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = RealFirst();
+ Umin(2) = RealFirst();
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = RealLast();
+ Umax(2) = RealLast();
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 1.e-15;
+ tol(2) = 1.e-15;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(L1.Location());
+ gp_Pnt2d point1(centre1.XY()+Ufirst(1)*L1.Direction().XY());
+ gp_Pnt2d centre2(L2.Location());
+ gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY());
+ gp_Pnt2d point3;
+ gp_Vec2d Tan3;
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ gp_Vec2d Tan1(L1.Direction().XY());
+ gp_Vec2d Tan2(L2.Direction().XY());
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsOutside() && pscal <= 0.) ||
+ (Qualified2.IsEnclosed() && pscal >= 0.)) {
+ Standard_Real Angle1 = Vec3.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = Ufirst(3);
+ pnttg3sol = point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Pnt2d& Point3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Circ2d C1(gp_Ax2d(Point3,gp_Dir2d(1.,0.)),0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,Cu1,Cu2);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umax(1) = 2*M_PI;
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Ufirst(1) = M_PI;
+ Ufirst(2) = Param1;
+ Ufirst(3) = Param2;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d point1,point2;
+ // gp_Vec2d Tan1,Tan2,Nor1,Nor2;
+ gp_Vec2d Tan1,Tan2;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(2),point1,Tan1);
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(3),point2,Tan2);
+ GccAna_Circ2d3Tan circ(Point3,point1,point2,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1)));
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(Point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ Standard_Real Angle1 = Vec1.Angle(Tan1);
+ if (Qualified1.IsUnqualified()||
+ (Qualified1.IsEnclosing()&&Angle1<=0.)||
+ (Qualified1.IsOutside() && Angle1 >= 0) ||
+ (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
+ Angle1 = Vec2.Angle(Tan2);
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing()&&Angle1<=0.)||
+ (Qualified1.IsOutside() && Angle1 >= 0) ||
+ (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = GccEnt_noqualifier;
+ pararg1 = Ufirst(2);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(3);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = 0.;
+ pnttg3sol = Point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Pnt2d& Point2 ,
+ const gp_Pnt2d& Point3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Dir2d dirx(1.,0.);
+ gp_Circ2d C1(gp_Ax2d(Point2,dirx),0.);
+ gp_Circ2d C2(gp_Ax2d(Point3,dirx),0.);
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,C2,Cu1);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(2) = 0.;
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umax(1) = 2*M_PI;
+ Umax(2) = 2*M_PI;
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Ufirst(1) = M_PI;
+ Ufirst(2) = M_PI;
+ Ufirst(3) = Param1;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = 2.e-15*M_PI;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d point3;
+ // gp_Vec2d Tan3,Nor3;
+ gp_Vec2d Tan3;
+ Geom2dGcc_CurveTool::D1(Cu1,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(Point2,Point3,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ gp_Vec2d Tan2(-Sin(Ufirst(2)),Cos(Ufirst(2)));
+ gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(Point2,centre);
+ gp_Vec2d Vec2(Point3,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ Standard_Real Angle1 = Vec1.Angle(Tan1);
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing()&&Angle1<=0.)||
+ (Qualified1.IsOutside() && Angle1 >= 0) ||
+ (Qualified1.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = GccEnt_noqualifier;
+ qualifier3 = GccEnt_noqualifier;
+ pararg1 = Ufirst(3);
+ par1sol = 0.;
+ pnttg1sol = point3;
+ pararg2 = 0.;
+ pnttg2sol = Point2;
+ par2sol = 0.;
+ pararg3 = 0.;
+ pnttg3sol = Point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedLin& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Pnt2d& Point3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Dir2d dirx(1.,0.);
+ gp_Lin2d L1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.);
+ Geom2dGcc_FunctionTanCuCuCu Func(C3,L1,Cu2);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(2) = RealFirst();
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(1) = 0.;
+ Umax(2) = RealLast();
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(1) = 2*M_PI;
+ Ufirst(2) = Param1;
+ Ufirst(3) = Param2;
+ Ufirst(1) = M_PI;
+ tol(1) = 2.e-15;
+ tol(2) = 1.e-15;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(L1.Location());
+ gp_Pnt2d point1(centre1.XY()+Ufirst(2)*L1.Direction().XY());
+ gp_Pnt2d point2;
+ gp_Vec2d Tan2;
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ Standard_Real pscal=centre.XY().Dot(gp_XY(-L1.Direction().Y(),
+ L1.Direction().X()));
+ gp_Vec2d Tan1(L1.Direction().XY());
+ gp_Vec2d Tan3(-Sin(Ufirst(1)),Cos(Ufirst(1)));
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(Point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && pscal <= 0.) ||
+ (Qualified1.IsEnclosed() && pscal >= 0.)) {
+ Standard_Real Angle1 = Vec2.Angle(Tan2);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&Angle1<=0.)||
+ (Qualified2.IsOutside() && Angle1 >= 0) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = GccEnt_noqualifier;
+ pararg1 = Ufirst(2);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(3);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = 0.;
+ pnttg3sol = Point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const GccEnt_QualifiedLin& Qualified2 ,
+ const Geom2dGcc_QCurve& Qualified3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Param3 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified()) ||
+ !(Qualified3.IsEnclosed() || Qualified3.IsEnclosing() ||
+ Qualified3.IsOutside() || Qualified3.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ gp_Circ2d C1 = Qualified1.Qualified();
+ gp_Lin2d L2 = Qualified2.Qualified();
+ Geom2dAdaptor_Curve Cu3 = Qualified3.Qualified();
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,L2,Cu3);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(2) = RealFirst();
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu3);
+ Umax(1) = 2*M_PI;
+ Umax(2) = RealLast();
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu3);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ Ufirst(3) = Param3;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = 1.e-15;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu3,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Func.Value(Ufirst,Umin);
+ Root.Root(Ufirst);
+ gp_Pnt2d centre1(C1.Location());
+ Standard_Real R1 = C1.Radius();
+ gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
+ gp_Pnt2d centre2(L2.Location());
+ gp_Pnt2d point2(centre2.XY()+Ufirst(2)*L2.Direction().XY());
+ gp_Pnt2d point3;
+ gp_Vec2d Tan3;
+ Geom2dGcc_CurveTool::D1(Cu3,Ufirst(3),point3,Tan3);
+ GccAna_Circ2d3Tan circ(point1,point2,point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
+ gp_Vec2d Tan2(L2.Direction().XY());
+ Standard_Real normetan1 = Tan1.Magnitude();
+ Standard_Real normetan2 = Tan2.Magnitude();
+ Standard_Real normetan3 = Tan3.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution() && normetan1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1*normetan1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution() && normetan3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3*normetan3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ Standard_Real dist = centre1.Distance(centre);
+ Standard_Real Rsol = cirsol.Radius();
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ Standard_Real pscal=centre.XY().Dot(gp_XY(-L2.Direction().Y(),
+ L2.Direction().X()));
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsOutside() && pscal <= 0.) ||
+ (Qualified2.IsEnclosed() && pscal >= 0.)) {
+ Standard_Real Angle1 = Vec3.Angle(Tan3);
+ if (Qualified3.IsUnqualified() ||
+ (Qualified3.IsEnclosing()&&Angle1<=0.)||
+ (Qualified3.IsOutside() && Angle1 >= 0) ||
+ (Qualified3.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = Qualified3.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = Ufirst(3);
+ pnttg3sol = point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Circ2d3TanIter::
+Geom2dGcc_Circ2d3TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const gp_Pnt2d& Point3 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolerance ) {
+
+ TheSame1 = Standard_False;
+ TheSame2 = Standard_False;
+ TheSame3 = Standard_False;
+ par1sol = 0.;
+ par2sol = 0.;
+ par3sol = 0.;
+ pararg1 = 0.;
+ pararg2 = 0.;
+ pararg3 = 0.;
+
+ Standard_Real Tol = Abs(Tolerance);
+ WellDone = Standard_False;
+ 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();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ gp_Dir2d dirx(1.,0.);
+ gp_Circ2d C3(gp_Ax2d(Point3,dirx),0.);
+ Geom2dGcc_FunctionTanCuCuCu Func(C1,C3,Cu2);
+ math_Vector Umin(1,3);
+ math_Vector Umax(1,3);
+ math_Vector Ufirst(1,3);
+ math_Vector tol(1,3);
+ Umin(1) = 0.;
+ Umin(3) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umin(2) = 0.;
+ Umax(1) = 2*M_PI;
+ Umax(3) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Umax(2) = 2*M_PI;
+ Ufirst(1) = Param1;
+ Ufirst(2) = M_PI;
+ Ufirst(3) = Param2;
+ tol(1) = 2.e-15*M_PI;
+ tol(2) = 2.e-15*M_PI;
+ tol(3) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolerance));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ Func.Value(Ufirst,Umin);
+ gp_Pnt2d centre1(C1.Location());
+ Standard_Real R1 = C1.Radius();
+ gp_Pnt2d point1(centre1.XY()+R1*gp_XY(Cos(Ufirst(1)),Sin(Ufirst(1))));
+ gp_Pnt2d point2;
+ // gp_Vec2d Tan2,Nor2;
+ gp_Vec2d Tan2;
+ Geom2dGcc_CurveTool::D1(Cu2,Ufirst(2),point2,Tan2);
+ GccAna_Circ2d3Tan circ(point1,point2,Point3,Tol);
+ if (circ.IsDone()) {
+ cirsol = circ.ThisSolution(1);
+ gp_Pnt2d centre(cirsol.Location());
+ gp_Vec2d Tan1(-Sin(Ufirst(1)),Cos(Ufirst(1)));
+ gp_Vec2d Tan3(-Sin(Ufirst(3)),Cos(Ufirst(3)));
+ Standard_Real normetan2 = Tan2.Magnitude();
+ gp_Vec2d Vec1(point1,centre);
+ gp_Vec2d Vec2(point2,centre);
+ gp_Vec2d Vec3(Point3,centre);
+ Standard_Real normevec1 = Vec1.Magnitude();
+ Standard_Real normevec2 = Vec2.Magnitude();
+ Standard_Real normevec3 = Vec3.Magnitude();
+ Standard_Real dot1,dot2,dot3;
+ if (normevec1 >= gp::Resolution()) {
+ dot1 = Vec1.Dot(Tan1)/(normevec1);
+ }
+ else { dot1 = 0.; }
+ if (normevec2 >= gp::Resolution() && normetan2 >= gp::Resolution()) {
+ dot2 = Vec2.Dot(Tan2)/(normevec2*normetan2);
+ }
+ else { dot2 = 0.; }
+ if (normevec3 >= gp::Resolution()) {
+ dot3 = Vec3.Dot(Tan3)/(normevec3);
+ }
+ else { dot3 = 0.; }
+ Tol = 1.e-12;
+ if (dot1 <= Tol && dot2 <=Tol && dot3 <= Tol) {
+ Standard_Real dist = centre1.Distance(centre);
+ Standard_Real Rsol = cirsol.Radius();
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Rsol >= R1 && dist <= Rsol)||
+ (Qualified1.IsOutside() && dist >= Rsol) ||
+ (Qualified1.IsEnclosed() && Rsol <= R1 && dist <= Rsol)) {
+ Standard_Real Angle1 = Vec2.Angle(Tan2);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing()&&Angle1<=0.)||
+ (Qualified2.IsOutside() && Angle1 >= 0) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ qualifier3 = GccEnt_noqualifier;
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = 0.;
+ pararg3 = 0.;
+ pnttg3sol = Point3;
+ par3sol = 0.;
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+ }
+}
+
+Standard_Boolean Geom2dGcc_Circ2d3TanIter::
+IsDone () const{ return WellDone; }
+
+gp_Circ2d Geom2dGcc_Circ2d3TanIter::
+ThisSolution () const{ return cirsol; }
+
+void Geom2dGcc_Circ2d3TanIter::
+WhichQualifier (GccEnt_Position& Qualif1 ,
+ GccEnt_Position& Qualif2 ,
+ GccEnt_Position& Qualif3 ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ Qualif1 = qualifier1;
+ Qualif2 = qualifier2;
+ Qualif3 = qualifier3;
+ }
+}
+
+void Geom2dGcc_Circ2d3TanIter::
+Tangency1 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ if (TheSame1 == 0) {
+ ParSol = par1sol;
+ ParArg = pararg1;
+ PntSol = pnttg1sol;
+ }
+ else { StdFail_NotDone::Raise(); }
+ }
+}
+
+void Geom2dGcc_Circ2d3TanIter::
+Tangency2 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = par2sol;
+ ParArg = pararg2;
+ PntSol = pnttg2sol;
+ }
+}
+
+void Geom2dGcc_Circ2d3TanIter::
+Tangency3 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = par3sol;
+ ParArg = pararg3;
+ PntSol = pnttg3sol;
+ }
+}
+
+Standard_Boolean Geom2dGcc_Circ2d3TanIter::
+IsTheSame1 () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+
+ if (TheSame1 == 0)
+ return Standard_False;
+
+ return Standard_True;
+}
+
+
+Standard_Boolean Geom2dGcc_Circ2d3TanIter::
+IsTheSame2 () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+
+ if (TheSame3 == 0)
+ return Standard_False;
+
+ return Standard_True;
+
+}
+
+Standard_Boolean Geom2dGcc_Circ2d3TanIter::
+IsTheSame3 () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+
+ return Standard_True;
+}
--- /dev/null
+-- Created on: 1992-02-20
+-- Created by: Remy GILET
+-- Copyright (c) 1992-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanCirCu from Geom2dGcc inherits FunctionWithDerivative from math
+
+ ---Purpose: This abstract class describes a Function of 1 Variable
+ -- used to find a line tangent to a curve and a circle.
+
+uses
+ Circ2d from gp,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+is
+
+Create (Circ : Circ2d from gp ;
+ Curv : Curve from Geom2dAdaptor ) returns FunctionTanCirCu from Geom2dGcc;
+
+Value (me : in out ;
+ X : Real ;
+ F : out Real ) returns Boolean;
+ ---Purpose: Computes the value of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Derivative (me : in out ;
+ X : Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the derivative of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Values (me : in out ;
+ X : Real ;
+ F : out Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the value and the derivative of the function F
+ -- for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+fields
+
+TheCirc : Circ2d from gp;
+Curve : Curve from Geom2dAdaptor;
+-- Modified by Sergey KHROMOV - Thu Apr 5 09:50:18 2001 Begin
+myWeight : Real;
+-- Modified by Sergey KHROMOV - Thu Apr 5 09:50:19 2001 End
+
+end FunctionTanCirCu;
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanCirCu.ixx>
+
+#include <gp_Vec2d.hxx>
+#include <gp_Pnt2d.hxx>
+#include <gp_Vec.hxx>
+#include <gp_Pnt.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+//=========================================================================
+// soit P1 le point sur la courbe Geom2dAdaptor_Curve d abscisse u. +
+// soit C le centre du cercle TheCirc. +
+// Nous recherchons un point P2 appartenant au cercle tel que : +
+// ---> --> +
+// * P1P2 . CP2 = 0 +
+// +
+// * --> 2 2 +
+// ||CP2|| = R +
+// Nous cherchons donc les zeros de la fonction suivante: +
+// --> --> 2 +
+// --> 2 ( CP1 . T ) 2 +
+// ||CP1|| - ----------- - R = F(u) +
+// --> 2 +
+// ||T|| +
+// +
+// La derivee de cette fonction est : +
+// +
+// 2*(CP1.T)(CP1.N) 2*(CP1.T)*(CP1.T)*T.N +
+// f(u) = - ---------------- + --------------------- +
+// T.T (T.T)*(T.T) +
+//=========================================================================
+// +
+// skv: Small addition: The function and the derivative are normalized +
+// by an average square distance between the circle +
+// and the curve. +
+//=========================================================================
+
+Geom2dGcc_FunctionTanCirCu::
+Geom2dGcc_FunctionTanCirCu(const gp_Circ2d& Circ ,
+ const Geom2dAdaptor_Curve& Curv ) {
+ Curve = Curv;
+ TheCirc = Circ;
+
+ // Modified by Sergey KHROMOV - Thu Apr 5 09:51:21 2001 Begin
+ Standard_Integer aNbSamp = Geom2dGcc_CurveTool::NbSamples(Curve);
+ Standard_Real aFirst = Geom2dGcc_CurveTool::FirstParameter(Curve);
+ Standard_Real aLast = Geom2dGcc_CurveTool::LastParameter(Curve);
+ Standard_Real aStep = (aLast - aFirst)/aNbSamp;
+ Standard_Real anX = aFirst + aStep/2.;
+ Standard_Integer aNbP = 0;
+ gp_XY aLoc(0., 0.);
+
+ while (anX <= aLast) {
+ aLoc += (Geom2dGcc_CurveTool::Value(Curve, anX)).XY();
+ anX += aStep;
+ aNbP++;
+ }
+ myWeight = Max((aLoc - TheCirc.Location().XY()).SquareModulus(), TheCirc.Radius());
+ // Modified by Sergey KHROMOV - Thu Apr 5 09:51:25 2001 End
+}
+
+
+Standard_Boolean Geom2dGcc_FunctionTanCirCu::
+Value (const Standard_Real X ,
+ Standard_Real& Fval ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vect1;
+ Geom2dGcc_CurveTool::D1(Curve,X,Point,Vect1);
+ Standard_Real NormeD1 = Vect1.Magnitude();
+ gp_Vec2d TheDirection(TheCirc.Location(),Point);
+ Standard_Real squaredir = TheDirection.Dot(TheDirection);
+ Standard_Real R = TheCirc.Radius();
+ Fval = squaredir-R*R-
+ (TheDirection.Dot(Vect1))*(TheDirection.Dot(Vect1))/(NormeD1*NormeD1);
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:05 2001 Begin
+ Fval /= myWeight;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:06 2001 End
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCirCu::
+Derivative (const Standard_Real X ,
+ Standard_Real& Deriv ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vect1,Vect2;
+ Geom2dGcc_CurveTool::D2(Curve,X,Point,Vect1,Vect2);
+ Standard_Real NormeD1 = Vect1.SquareMagnitude();
+ gp_Vec2d TheDirection(TheCirc.Location(),Point);
+ Standard_Real cp1dott = TheDirection.Dot(Vect1);
+ Deriv = -2.*(cp1dott/NormeD1)*
+ ((TheDirection.Dot(Vect2))-cp1dott*Vect1.Dot(Vect2)/NormeD1);
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:15 2001 Begin
+ Deriv /= myWeight;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:15 2001 End
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCirCu::
+Values (const Standard_Real X ,
+ Standard_Real& Fval ,
+ Standard_Real& Deriv ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vect1,Vect2;
+ Geom2dGcc_CurveTool::D2(Curve,X,Point,Vect1,Vect2);
+ Standard_Real NormeD1 = Vect1.SquareMagnitude();
+ gp_Vec2d TheDirection(TheCirc.Location(),Point);
+ Standard_Real squaredir = TheDirection.SquareMagnitude();
+ Standard_Real cp1dott = TheDirection.Dot(Vect1);
+ Standard_Real R = TheCirc.Radius();
+
+ Fval = squaredir-R*R-cp1dott*cp1dott/NormeD1;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:28 2001 Begin
+ Fval /= myWeight;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:38:28 2001 End
+
+ Deriv = -2.*(cp1dott/NormeD1)*
+ ((TheDirection.Dot(Vect2))-cp1dott*Vect1.Dot(Vect2)/NormeD1);
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:37:36 2001 Begin
+ Deriv /= myWeight;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:37:37 2001 End
+ return Standard_True;
+}
--- /dev/null
+-- Created on: 1992-02-20
+-- Created by: Remy GILET
+-- Copyright (c) 1992-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanCuCu from Geom2dGcc inherits FunctionSetWithDerivatives from math
+
+ ---Purpose: This abstract class describes a Function of 1 Variable
+ -- used to find a line tangent to two curves.
+
+uses Vector from math,
+ Matrix from math,
+ Circ2d from gp,
+ Pnt2d from gp,
+ Vec2d from gp,
+ Type3 from Geom2dGcc,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+
+raises ConstructionError
+
+is
+
+Create (Curv1 : Curve from Geom2dAdaptor ;
+ Curv2 : Curve from Geom2dAdaptor ) returns FunctionTanCuCu from Geom2dGcc;
+
+Create (Circ1 : Circ2d from gp ;
+ Curv2 : Curve from Geom2dAdaptor ) returns FunctionTanCuCu from Geom2dGcc;
+
+InitDerivative(me : in out ;
+ X : Vector from math ;
+ Point1,Point2 : out Pnt2d from gp ;
+ Tan1,Tan2,D21,D22 : out Vec2d from gp )
+raises ConstructionError
+is static;
+
+NbVariables(me) returns Integer;
+ ---Purpose: returns the number of variables of the function.
+
+NbEquations(me) returns Integer;
+ ---Purpose: returns the number of equations of the function.
+
+Value (me : in out ;
+ X : Vector from math;
+ F : out Vector from math) returns Boolean;
+ ---Purpose: Computes the value of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Derivatives (me : in out ;
+ X : Vector from math;
+ Deriv : out Matrix from math) returns Boolean;
+ ---Purpose: Computes the derivative of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Values (me : in out ;
+ X : Vector from math;
+ F : out Vector from math;
+ Deriv : out Matrix from math) returns Boolean;
+ ---Purpose: Computes the value and the derivative of the function F
+ -- for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+fields
+
+TheCurve1 : Curve from Geom2dAdaptor ;
+TheCurve2 : Curve from Geom2dAdaptor ;
+TheCirc1 : Circ2d from gp ;
+TheType : Type3 from Geom2dGcc ;
+
+end FunctionTanCuCu;
+
+
+
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanCuCu.ixx>
+
+#include <gp_Vec2d.hxx>
+#include <gp_Pnt2d.hxx>
+#include <ElCLib.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+void Geom2dGcc_FunctionTanCuCu::
+InitDerivative(const math_Vector& X,
+ gp_Pnt2d& Point1,
+ gp_Pnt2d& Point2,
+ gp_Vec2d& Tan1 ,
+ gp_Vec2d& Tan2 ,
+ gp_Vec2d& D21 ,
+ gp_Vec2d& D22 )
+{
+ switch (TheType)
+ {
+ case Geom2dGcc_CuCu:
+ {
+ Geom2dGcc_CurveTool::D2(TheCurve1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(TheCurve2,X(2),Point2,Tan2,D22);
+ }
+ break;
+ case Geom2dGcc_CiCu:
+ {
+ ElCLib::D2(X(1),TheCirc1,Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(TheCurve2,X(2),Point2,Tan2,D22);
+ }
+ break;
+ default:
+ {
+ }
+ }
+}
+
+Geom2dGcc_FunctionTanCuCu::
+Geom2dGcc_FunctionTanCuCu(const Geom2dAdaptor_Curve& C1 ,
+ const Geom2dAdaptor_Curve& C2 ) {
+ TheCurve1 = C1;
+ TheCurve2 = C2;
+ TheType = Geom2dGcc_CuCu;
+}
+
+Geom2dGcc_FunctionTanCuCu::
+Geom2dGcc_FunctionTanCuCu(const gp_Circ2d& C1 ,
+ const Geom2dAdaptor_Curve& C2 ) {
+ TheCirc1 = C1;
+ TheCurve2 = C2;
+ TheType = Geom2dGcc_CiCu;
+}
+
+
+//=========================================================================
+// soit P1 le point sur la courbe TheCurve1 d abscisse u1. +
+// soit P2 le point sur la courbe TheCurve2 d abscisse u2. +
+// soit T1 la tangente a la courbe TheCurve1 en P1. +
+// soit T2 la tangente a la courbe TheCurve2 en P2. +
+// Nous voulons P1 et P2 tels que : +
+// ---> --> +
+// * P1P2 /\ T1 = 0 +
+// +
+// --> --> +
+// * T1 /\ T2 = 0 +
+// +
+// Nous cherchons donc les zeros des fonctions suivantes: +
+// ---> --> +
+// * P1P2 /\ T1 +
+// --------------- = F1(u) +
+// ---> --> +
+// ||P1P2||*||T1|| +
+// +
+// --> --> +
+// * T1 /\ T2 +
+// --------------- = F2(u) +
+// --> --> +
+// ||T2||*||T1|| +
+// +
+// Les derivees de ces fonctions sont : +
+// 2 2 +
+// dF1 P1P2/\N1 (P1P2/\T1)*[T1*(-T1).P1P2+P1P2*(T1.N1)] +
+// ----- = --------------- - ----------------------------------------- +
+// du1 3 3 +
+// ||P1P2||*||T1|| ||P1P2|| * ||T1|| +
+// +
+// 2 +
+// dF1 T2/\T1 (P1P2/\T1)*[T1*(T2.P1P2) +
+// ----- = --------------- - ----------------------------------------- +
+// du2 3 3 +
+// ||P1P2||*||T1|| ||P1P2|| * ||T1|| +
+// +
+// 2 +
+// dF2 N1/\T2 T1/\T2*(N1.T1)T2 +
+// ----- = ---------------- - ----------------------------- +
+// du1 3 3 +
+// ||T1||*||T2|| ||T1|| * ||T2|| +
+// +
+// 2 +
+// dF2 T1/\N2 T1/\T2*(N2.T2)T1 +
+// ----- = ---------------- - ----------------------------- +
+// du2 3 3 +
+// ||T1||*||T2|| ||T1|| * ||T2|| +
+// +
+//=========================================================================
+
+Standard_Integer Geom2dGcc_FunctionTanCuCu::
+NbVariables() const { return 2; }
+
+Standard_Integer Geom2dGcc_FunctionTanCuCu::
+NbEquations() const { return 2; }
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCu::
+Value (const math_Vector& X ,
+ math_Vector& Fval ) {
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Vec2d Vect11;
+ gp_Vec2d Vect21;
+ gp_Vec2d Vect12;
+ gp_Vec2d Vect22;
+ InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
+ Standard_Real NormeD11 = Vect11.Magnitude();
+ Standard_Real NormeD21 = Vect21.Magnitude();
+ gp_Vec2d TheDirection(Point1,Point2);
+ Standard_Real squaredir = TheDirection.Dot(TheDirection);
+ Fval(1) = TheDirection.Crossed(Vect11)/(NormeD11*squaredir);
+ Fval(2) = Vect11.Crossed(Vect21)/(NormeD11*NormeD21);
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCu::
+Derivatives (const math_Vector& X ,
+ math_Matrix& Deriv ) {
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Vec2d Vect11;
+ gp_Vec2d Vect21;
+ gp_Vec2d Vect12;
+ gp_Vec2d Vect22;
+ InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
+ Standard_Real NormeD11 = Vect11.Magnitude();
+ Standard_Real NormeD21 = Vect21.Magnitude();
+#ifdef DEB
+ gp_Vec2d V2V1(Vect11.XY(),Vect21.XY());
+#else
+ Vect11.XY();
+ Vect21.XY();
+#endif
+ gp_Vec2d TheDirection(Point1,Point2);
+ Standard_Real squaredir = TheDirection.Dot(TheDirection);
+ Deriv(1,1) = TheDirection.Crossed(Vect12)/(NormeD11*squaredir)+
+ (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect11.Dot(TheDirection))/
+ (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
+ Deriv(1,2) = Vect21.Crossed(Vect11)/(NormeD11*squaredir)-
+ (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect21.Dot(TheDirection))/
+ (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
+ Deriv(2,1)=(Vect12.Crossed(Vect21))/(NormeD11*NormeD21)-
+ (Vect11.Crossed(Vect21))*(Vect12.Dot(Vect11))*NormeD21*NormeD21/
+ (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
+ Deriv(2,2)=(Vect11.Crossed(Vect22))/(NormeD11*NormeD21)-
+ (Vect11.Crossed(Vect21))*(Vect22.Dot(Vect21))*NormeD11*NormeD11/
+ (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCu::
+Values (const math_Vector& X ,
+ math_Vector& Fval ,
+ math_Matrix& Deriv ) {
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Vec2d Vect11;
+ gp_Vec2d Vect21;
+ gp_Vec2d Vect12;
+ gp_Vec2d Vect22;
+ InitDerivative(X,Point1,Point2,Vect11,Vect21,Vect12,Vect22);
+ Standard_Real NormeD11 = Vect11.Magnitude();
+ Standard_Real NormeD21 = Vect21.Magnitude();
+#ifdef DEB
+ gp_Vec2d V2V1(Vect11.XY(),Vect21.XY());
+#else
+ Vect11.XY();
+ Vect21.XY();
+#endif
+ gp_Vec2d TheDirection(Point1,Point2);
+ Standard_Real squaredir = TheDirection.Dot(TheDirection);
+ Fval(1) = TheDirection.Crossed(Vect11)/(NormeD11*squaredir);
+ Fval(2) = Vect11.Crossed(Vect21)/(NormeD11*NormeD21);
+ Deriv(1,1) = TheDirection.Crossed(Vect12)/(NormeD11*squaredir)+
+ (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect11.Dot(TheDirection))/
+ (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
+ Deriv(1,2) = Vect21.Crossed(Vect11)/(NormeD11*squaredir)-
+ (TheDirection.Crossed(Vect11)*NormeD11*NormeD11*Vect21.Dot(TheDirection))/
+ (NormeD11*NormeD11*NormeD11*squaredir*squaredir*squaredir);
+ Deriv(2,1)=(Vect12.Crossed(Vect21))/(NormeD11*NormeD21)-
+ (Vect11.Crossed(Vect21))*(Vect12.Dot(Vect11))*NormeD21*NormeD21/
+ (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
+ Deriv(2,2)=(Vect11.Crossed(Vect22))/(NormeD11*NormeD21)-
+ (Vect11.Crossed(Vect21))*(Vect22.Dot(Vect21))*NormeD11*NormeD11/
+ (NormeD11*NormeD11*NormeD11*NormeD21*NormeD21*NormeD21);
+ return Standard_True;
+}
--- /dev/null
+-- Created on: 1991-05-13
+-- Created by: Laurent PAINNOT
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanCuCuCu from Geom2dGcc inherits FunctionSetWithDerivatives from math
+
+ ---Purpose: This abstract class describes a set on N Functions of
+ -- M independant variables.
+
+uses Vector from math,
+ Matrix from math,
+ Circ2d from gp,
+ Lin2d from gp,
+ Pnt2d from gp,
+ Vec2d from gp,
+ Type1 from Geom2dGcc,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+raises ConstructionError
+
+is
+
+ Create (C1 : Curve from Geom2dAdaptor ;
+ C2 : Curve from Geom2dAdaptor ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Curve from Geom2dAdaptor ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Circ2d from gp ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ L2 : Lin2d from gp ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ L2 : Lin2d from gp ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ C2 : Curve from Geom2dAdaptor ;
+ C3 : Curve from Geom2dAdaptor ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Curve from Geom2dAdaptor ;
+ P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ C2 : Curve from Geom2dAdaptor ;
+ P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+ Create (C1 : Curve from Geom2dAdaptor ;
+ P2 : Pnt2d from gp ;
+ P3 : Pnt2d from gp ) returns FunctionTanCuCuCu from Geom2dGcc;
+
+InitDerivative(me : in out ;
+ X : Vector from math ;
+ Point1,Point2,Point3 : out Pnt2d from gp ;
+ Tan1,Tan2,Tan3,D21,D22,D23 : out Vec2d from gp )
+raises ConstructionError
+is static;
+
+ NbVariables(me) returns Integer;
+ ---Purpose: Returns the number of variables of the function.
+
+ NbEquations(me) returns Integer;
+ ---Purpose: Returns the number of equations of the function.
+
+ Value(me : in out ;
+ X : Vector from math;
+ F : out Vector from math) returns Boolean;
+ ---Purpose: Computes the values of the Functions for the variable <X>.
+
+ Derivatives(me : in out ;
+ X : Vector from math;
+ D : out Matrix from math) returns Boolean;
+ ---Purpose: Returns the values of the derivatives for the variable <X>.
+
+ Values(me : in out ;
+ X : Vector from math;
+ F : out Vector from math;
+ D : out Matrix from math) returns Boolean;
+ ---Purpose: Returns the values of the functions and the derivatives
+ -- for the variable <X>.
+
+fields
+
+Curv1 : Curve from Geom2dAdaptor ;
+Curv2 : Curve from Geom2dAdaptor ;
+Curv3 : Curve from Geom2dAdaptor ;
+Circ1 : Circ2d from gp ;
+Circ2 : Circ2d from gp ;
+Lin1 : Lin2d from gp ;
+Lin2 : Lin2d from gp ;
+TheType : Type1 from Geom2dGcc;
+
+end FunctionTanCuCuCu;
+
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanCuCuCu.ixx>
+
+#include <Standard_ConstructionError.hxx>
+#include <ElCLib.hxx>
+#include <gp.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+void Geom2dGcc_FunctionTanCuCuCu::
+InitDerivative(const math_Vector& X,
+ gp_Pnt2d& Point1,
+ gp_Pnt2d& Point2,
+ gp_Pnt2d& Point3,
+ gp_Vec2d& Tan1,
+ gp_Vec2d& Tan2,
+ gp_Vec2d& Tan3,
+ gp_Vec2d& D21,
+ gp_Vec2d& D22,
+ gp_Vec2d& D23) {
+ switch (TheType) {
+ case Geom2dGcc_CiCuCu:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CiCiCu:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ ElCLib::D2(X(2),Circ2,Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CiLiCu:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ ElCLib::D1(X(2),Lin2,Point2,Tan2);
+ D22 = gp_Vec2d(0.,0.);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_LiCuCu:
+ {
+ ElCLib::D1(X(1),Lin1,Point1,Tan1);
+ D21 = gp_Vec2d(0.,0.);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_LiLiCu:
+ {
+ ElCLib::D1(X(1),Lin1,Point1,Tan1);
+ D21 = gp_Vec2d(0.,0.);
+ ElCLib::D1(X(2),Lin2,Point2,Tan2);
+ D22 = gp_Vec2d(0.,0.);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CuCuCu:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curv3,X(3),Point3,Tan3,D23);
+ }
+ break;
+ default:
+ {
+ Standard_ConstructionError::Raise();
+ }
+ }
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const Geom2dAdaptor_Curve& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Curv1 = C1;
+ Curv2 = C2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_CuCuCu;
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Circ1 = C1;
+ Curv2 = C2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_CiCuCu;
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
+ const gp_Circ2d& C2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Circ1 = C1;
+ Circ2 = C2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_CiCiCu;
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const gp_Circ2d& C1 ,
+ const gp_Lin2d& L2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Circ1 = C1;
+ Lin2 = L2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_CiLiCu;
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const gp_Lin2d& L1 ,
+ const gp_Lin2d& L2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Lin1 = L1;
+ Lin2 = L2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_LiLiCu;
+}
+
+Geom2dGcc_FunctionTanCuCuCu::
+Geom2dGcc_FunctionTanCuCuCu(const gp_Lin2d& L1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ) {
+ Lin1 = L1;
+ Curv2 = C2;
+ Curv3 = C3;
+ TheType = Geom2dGcc_LiCuCu;
+}
+
+//==========================================================================
+
+Standard_Integer Geom2dGcc_FunctionTanCuCuCu::
+NbVariables () const { return 3; }
+
+Standard_Integer Geom2dGcc_FunctionTanCuCuCu::
+NbEquations () const { return 3; }
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuCu::
+Value (const math_Vector& X ,
+ math_Vector& Fval ) {
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Pnt2d Point3;
+ gp_Vec2d Tan1;
+ gp_Vec2d Tan2;
+ gp_Vec2d Tan3;
+ gp_Vec2d D21;
+ gp_Vec2d D22;
+ gp_Vec2d D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+ //pipj (normes) et PiPj (non Normes).
+ gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
+ gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
+ gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
+ Standard_Real NorP1P2 = P1P2.Modulus();
+ Standard_Real NorP2P3 = P2P3.Modulus();
+ Standard_Real NorP3P1 = P3P1.Modulus();
+ gp_XY p1p2,p2p3,p3p1;
+ if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
+ else { p1p2 = gp_XY(0.,0.); }
+ if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
+ else { p2p3 = gp_XY(0.,0.); }
+ if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
+ else { p3p1 = gp_XY(0.,0.); }
+ //derivees premieres non normees Deriv1ui.
+ gp_XY Deriv1u1(Tan1.XY());
+ gp_XY Deriv1u2(Tan2.XY());
+ gp_XY Deriv1u3(Tan3.XY());
+ //normales aux courbes.
+ Standard_Real nnor1 = Deriv1u1.Modulus();
+ Standard_Real nnor2 = Deriv1u2.Modulus();
+ Standard_Real nnor3 = Deriv1u3.Modulus();
+ gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
+ gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
+ gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
+ gp_XY nor1,nor2,nor3;
+ if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
+ else { nor1 = gp_XY(0.,0.); }
+ if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
+ else { nor2 = gp_XY(0.,0.); }
+ if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
+ else { nor3 = gp_XY(0.,0.); }
+ //determination des signes pour les produits scalaires.
+ Standard_Real signe1 = 1.;
+ Standard_Real signe2 = 1.;
+ Standard_Real signe3 = 1.;
+ gp_Pnt2d Pcenter(gp_XY(Point1.XY()+Point2.XY()+Point3.XY())/3.);
+ gp_XY fic1(Pcenter.XY()-Point1.XY());
+ gp_XY fic2(Pcenter.XY()-Point2.XY());
+ gp_XY fic3(Pcenter.XY()-Point3.XY());
+ Standard_Real pscal11 = nor1.Dot(fic1);
+ Standard_Real pscal22 = nor2.Dot(fic2);
+ Standard_Real pscal33 = nor3.Dot(fic3);
+ if (pscal11 <= 0.) { signe1 = -1; }
+ if (pscal22 <= 0.) { signe2 = -1; }
+ if (pscal33 <= 0.) { signe3 = -1; }
+ // Fonctions Fui.
+ // ==============
+ Fval(1) = signe1*nor1.Dot(p1p2)+signe2*nor2.Dot(p1p2);
+ Fval(2) = signe2*nor2.Dot(p2p3)+signe3*nor3.Dot(p2p3);
+ Fval(3) = signe3*nor3.Dot(p3p1)+signe1*nor1.Dot(p3p1);
+ return Standard_True;
+}
+
+
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuCu::Derivatives (const math_Vector&,
+ math_Matrix&)
+{
+#if 0
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Pnt2d Point3;
+ gp_Vec2d Tan1;
+ gp_Vec2d Tan2;
+ gp_Vec2d Tan3;
+ gp_Vec2d D21;
+ gp_Vec2d D22;
+ gp_Vec2d D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+ //derivees premieres non normees Deriv1ui.
+ gp_XY Deriv1u1(Tan1.XY());
+ gp_XY Deriv1u2(Tan2.XY());
+ gp_XY Deriv1u3(Tan3.XY());
+ //pipj (normes) et PiPj (non Normes).
+ gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
+ gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
+ gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
+ Standard_Real NorP1P2 = P1P2.Modulus();
+ Standard_Real NorP2P3 = P2P3.Modulus();
+ Standard_Real NorP3P1 = P3P1.Modulus();
+ gp_XY p1p2,p2p3,p3p1;
+ if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
+ else { p1p2 = gp_XY(0.,0.); }
+ if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
+ else { p2p3 = gp_XY(0.,0.); }
+ if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
+ else { p3p1 = gp_XY(0.,0.); }
+ //normales au courbes normees Nori et non nromees nori et norme des nori.
+ Standard_Real nnor1 = Deriv1u1.Modulus();
+ Standard_Real nnor2 = Deriv1u2.Modulus();
+ Standard_Real nnor3 = Deriv1u3.Modulus();
+ gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
+ gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
+ gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
+ gp_XY nor1,nor2,nor3;
+ if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
+ else { nor1 = gp_XY(0.,0.); }
+ if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
+ else { nor2 = gp_XY(0.,0.); }
+ if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
+ else { nor3 = gp_XY(0.,0.); }
+ //derivees des normales.
+ gp_XY NorD21,NorD22,NorD23;
+ NorD21 = gp_XY(-D21.Y(),D21.X());
+ NorD22 = gp_XY(-D22.Y(),D22.X());
+ NorD23 = gp_XY(-D23.Y(),D23.X());
+ //determination des signes pour les produits scalaires.
+ Standard_Real signe1 = 1.;
+ Standard_Real signe2 = 1.;
+ Standard_Real signe3 = 1.;
+ gp_XY P = Point1.XY();
+ P += Point2.XY();
+ P += Point3.XY();
+ P /= 3.;
+ gp_Pnt2d Pcenter(P);
+ gp_XY fic1 = Pcenter.XY();
+ fic1 -= Point1.XY();
+ gp_XY fic2 = Pcenter.XY();
+ fic2 -= Point2.XY();
+ gp_XY fic3 = Pcenter.XY();
+ fic3 -= Point3.XY();
+ Standard_Real pscal11 = nor1.Dot(fic1);
+ Standard_Real pscal22 = nor2.Dot(fic2);
+ Standard_Real pscal33 = nor3.Dot(fic3);
+ if (pscal11 <= 0.) { signe1 = -1; }
+ if (pscal22 <= 0.) { signe2 = -1; }
+ if (pscal33 <= 0.) { signe3 = -1; }
+
+ // Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
+ // =============================================
+ Standard_Real partie1,partie2;
+ if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1 = (signe1*NorD21/nnor1-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
+ *Nor1).Dot(p1p2); }
+ if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((Deriv1u1.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2-Deriv1u1/NorP1P2)
+ .Dot(signe1*nor1+signe2*nor2); }
+ Deriv(1,1) = partie1 + partie2;
+ if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=(signe2*NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
+ *Nor2).Dot(p1p2); }
+ if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
+ else{partie2=((-Deriv1u2.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2+Deriv1u2/NorP1P2)
+ .Dot(signe1*nor1+signe2*nor2); }
+ Deriv(1,2) = partie1 + partie2;
+ Deriv(1,3) = 0.;
+ Deriv(2,1) = 0.;
+ if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=(signe2*NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
+ *Nor2).Dot(p2p3); }
+ if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
+ else { partie2=((Deriv1u2.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3-Deriv1u2/NorP2P3)
+ .Dot(signe2*nor2+signe3*nor3); }
+ Deriv(2,2) = partie1 +partie2;
+ if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=(signe3*NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
+ *Nor3).Dot(p2p3); }
+ if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((-Deriv1u3.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3+Deriv1u3/NorP2P3)
+ .Dot(signe2*nor2+signe3*nor3); }
+ Deriv(2,3) = partie1 + partie2;
+ if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1 =(signe1*NorD21/(nnor1)-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
+ *Nor1).Dot(p3p1); }
+ if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((-Deriv1u1.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1+Deriv1u1/NorP3P1)
+ .Dot(signe1*nor1+signe3*nor3); }
+ Deriv(3,1) = partie1 + partie2;
+ Deriv(3,2) = 0.;
+ if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=(signe3*NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
+ *Nor3).Dot(p3p1); }
+ if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((Deriv1u3.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1-Deriv1u3/NorP3P1)
+ .Dot(signe1*nor1+signe3*nor3); }
+ Deriv(3,3) = partie1+partie2;
+#endif
+ return Standard_True;
+}
+
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuCu:: Values (const math_Vector&,
+ math_Vector&,
+ math_Matrix& )
+{
+#if 0
+ gp_Pnt2d Point1;
+ gp_Pnt2d Point2;
+ gp_Pnt2d Point3;
+ gp_Vec2d Tan1;
+ gp_Vec2d Tan2;
+ gp_Vec2d Tan3;
+ gp_Vec2d D21;
+ gp_Vec2d D22;
+ gp_Vec2d D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+ //derivees premieres non normees Deriv1ui.
+ gp_XY Deriv1u1(Tan1.XY());
+ gp_XY Deriv1u2(Tan2.XY());
+ gp_XY Deriv1u3(Tan3.XY());
+ //pipj (normes) et PiPj (non Normes).
+ gp_XY P1P2(gp_Vec2d(Point1,Point2).XY());
+ gp_XY P2P3(gp_Vec2d(Point2,Point3).XY());
+ gp_XY P3P1(gp_Vec2d(Point3,Point1).XY());
+ Standard_Real NorP1P2 = P1P2.Modulus();
+ Standard_Real NorP2P3 = P2P3.Modulus();
+ Standard_Real NorP3P1 = P3P1.Modulus();
+ gp_XY p1p2,p2p3,p3p1;
+ if (NorP1P2 >= gp::Resolution()) { p1p2 = P1P2/NorP1P2; }
+ else { p1p2 = gp_XY(0.,0.); }
+ if (NorP2P3 >= gp::Resolution()) { p2p3 = P2P3/NorP2P3; }
+ else { p2p3 = gp_XY(0.,0.); }
+ if (NorP3P1 >= gp::Resolution()) { p3p1 = P3P1/NorP3P1; }
+ else { p3p1 = gp_XY(0.,0.); }
+ //normales au courbes normees Nori et non nromees nori et norme des nori.
+ Standard_Real nnor1 = Deriv1u1.Modulus();
+ Standard_Real nnor2 = Deriv1u2.Modulus();
+ Standard_Real nnor3 = Deriv1u3.Modulus();
+ gp_XY Nor1(-Deriv1u1.Y(),Deriv1u1.X());
+ gp_XY Nor2(-Deriv1u2.Y(),Deriv1u2.X());
+ gp_XY Nor3(-Deriv1u3.Y(),Deriv1u3.X());
+ gp_XY nor1,nor2,nor3;
+ if (nnor1 >= gp::Resolution()) { nor1 = Nor1/nnor1; }
+ else { nor1 = gp_XY(0.,0.); }
+ if (nnor2 >= gp::Resolution()) { nor2 = Nor2/nnor2; }
+ else { nor2 = gp_XY(0.,0.); }
+ if (nnor3 >= gp::Resolution()) { nor3 = Nor3/nnor3; }
+ else { nor3 = gp_XY(0.,0.); }
+ //derivees des normales.
+ gp_XY NorD21,NorD22,NorD23;
+ NorD21 = gp_XY(-D21.Y(),D21.X());
+ NorD22 = gp_XY(-D22.Y(),D22.X());
+ NorD23 = gp_XY(-D23.Y(),D23.X());
+ //determination des signes pour les produits scalaires.
+ Standard_Real signe1 = 1.;
+ Standard_Real signe2 = 1.;
+ Standard_Real signe3 = 1.;
+ gp_XY P = Point1.XY();
+ P += Point2.XY();
+ P += Point3.XY();
+ P /= 3.;
+ gp_Pnt2d Pcenter(P);
+ gp_XY fic1 = Pcenter.XY();
+ fic1 -= Point1.XY();
+ gp_XY fic2 = Pcenter.XY();
+ fic2 -= Point2.XY();
+ gp_XY fic3 = Pcenter.XY();
+ fic3 -= Point3.XY();
+ Standard_Real pscal11 = nor1.Dot(fic1);
+ Standard_Real pscal22 = nor2.Dot(fic2);
+ Standard_Real pscal33 = nor3.Dot(fic3);
+ if (pscal11 <= 0.) { signe1 = -1; }
+ if (pscal22 <= 0.) { signe2 = -1; }
+ if (pscal33 <= 0.) { signe3 = -1; }
+
+ // Fonctions Fui.
+ // ==============
+ Fval(1) = signe1*nor1.Dot(p1p2)+signe2*nor2.Dot(p1p2);
+ Fval(2) = signe2*nor2.Dot(p2p3)+signe3*nor3.Dot(p2p3);
+ Fval(3) = signe3*nor3.Dot(p3p1)+signe1*nor1.Dot(p3p1);
+ // Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
+ // =============================================
+ Standard_Real partie1,partie2;
+ if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1 = signe1*(NorD21/nnor1-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
+ *Nor1).Dot(p1p2); }
+ if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((Deriv1u1.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2-Deriv1u1/NorP1P2)
+ .Dot(signe1*nor1+signe2*nor2); }
+ Deriv(1,1) = partie1 + partie2;
+ if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=signe2*(NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
+ *Nor2).Dot(p1p2); }
+ if (NorP1P2 <= gp::Resolution()) { partie2 = 0.; }
+ else{partie2=((-Deriv1u2.Dot(p1p2)/(NorP1P2*NorP1P2))*P1P2+Deriv1u2/NorP1P2)
+ .Dot(signe1*nor1+signe2*nor2); }
+ Deriv(1,2) = partie1 + partie2;
+ Deriv(1,3) = 0.;
+ Deriv(2,1) = 0.;
+ if (nnor2 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=signe2*(NorD22/(nnor2)-(Nor2.Dot(NorD22)/(nnor2*nnor2*nnor2))
+ *Nor2).Dot(p2p3); }
+ if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
+ else { partie2=((Deriv1u2.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3-Deriv1u2/NorP2P3)
+ .Dot(signe2*nor2+signe3*nor3); }
+ Deriv(2,2) = partie1 +partie2;
+ if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=signe3*(NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
+ *Nor3).Dot(p2p3); }
+ if (NorP2P3 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((-Deriv1u3.Dot(p2p3)/(NorP2P3*NorP2P3))*P2P3+Deriv1u3/NorP2P3)
+ .Dot(signe2*nor2+signe3*nor3); }
+ Deriv(2,3) = partie1 + partie2;
+ if (nnor1 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1 =signe1*(NorD21/(nnor1)-(Nor1.Dot(NorD21)/(nnor1*nnor1*nnor1))
+ *Nor1).Dot(p3p1); }
+ if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((-Deriv1u1.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1+Deriv1u1/NorP3P1)
+ .Dot(signe1*nor1+signe3*nor3); }
+ Deriv(3,1) = partie1 + partie2;
+ Deriv(3,2) = 0.;
+ if (nnor3 <= gp::Resolution()) { partie1 = 0.; }
+ else { partie1=signe3*(NorD23/(nnor3)-(Nor3.Dot(NorD23)/(nnor3*nnor3*nnor3))
+ *Nor3).Dot(p3p1); }
+ if (NorP3P1 <= gp::Resolution()) { partie2 = 0.; }
+ else {partie2=((Deriv1u3.Dot(p3p1)/(NorP3P1*NorP3P1))*P3P1-Deriv1u3/NorP3P1)
+ .Dot(signe1*nor1+signe3*nor3); }
+ Deriv(3,3) = partie1+partie2;
+#endif
+ return Standard_True;
+}
+
+
--- /dev/null
+-- Created on: 1991-05-13
+-- Created by: Laurent PAINNOT
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanCuCuOnCu from Geom2dGcc inherits FunctionSetWithDerivatives from math
+
+ ---Purpose: This abstract class describes a set on N Functions of
+ -- M independant variables.
+
+uses Vector from math,
+ Matrix from math,
+ Circ2d from gp,
+ Lin2d from gp,
+ Pnt2d from gp,
+ Vec2d from gp,
+ Type2 from Geom2dGcc,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+raises ConstructionError
+
+is
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ C2 : Curve from Geom2dAdaptor;
+ OnCi : Circ2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnCi : Circ2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnCi : Circ2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ P2 : Pnt2d from gp ;
+ OnCi : Circ2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+------------------------------------------------------------------------
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ C2 : Curve from Geom2dAdaptor;
+ OnLi : Lin2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnLi : Lin2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnLi : Lin2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ P2 : Pnt2d from gp ;
+ OnLi : Lin2d from gp ;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+-----------------------------------------------------------------------
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ C2 : Curve from Geom2dAdaptor;
+ OnCu : Curve from Geom2dAdaptor;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Circ2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnCu : Curve from Geom2dAdaptor;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (L1 : Lin2d from gp ;
+ C2 : Curve from Geom2dAdaptor;
+ OnCu : Curve from Geom2dAdaptor;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+ Create (C1 : Curve from Geom2dAdaptor;
+ P1 : Pnt2d from gp ;
+ OnCu : Curve from Geom2dAdaptor;
+ Rad : Real from Standard )
+returns FunctionTanCuCuOnCu from Geom2dGcc;
+
+InitDerivative(me : in out ;
+ X : Vector from math ;
+ Point1,Point2,Point3 : out Pnt2d from gp ;
+ Tan1,Tan2,Tan3,D21,D22,D23 : out Vec2d from gp )
+raises ConstructionError
+is static;
+
+ NbVariables(me) returns Integer;
+ ---Purpose: Returns the number of variables of the function.
+
+ NbEquations(me) returns Integer;
+ ---Purpose: Returns the number of equations of the function.
+
+ Value(me : in out ;
+ X : Vector from math;
+ F : out Vector from math) returns Boolean;
+ ---Purpose: Computes the values of the Functions for the variable <X>.
+
+ Derivatives(me : in out ;
+ X : Vector from math;
+ D : out Matrix from math) returns Boolean;
+ ---Purpose: Returns the values of the derivatives for the variable <X>.
+
+ Values(me : in out ;
+ X : Vector from math;
+ F : out Vector from math;
+ D : out Matrix from math) returns Boolean;
+ ---Purpose: Returns the values of the functions and the derivatives
+ -- for the variable <X>.
+
+fields
+
+Curv1 : Curve from Geom2dAdaptor;
+Curv2 : Curve from Geom2dAdaptor;
+Circ1 : Circ2d from gp ;
+Lin1 : Lin2d from gp ;
+Pnt2 : Pnt2d from gp ;
+Circon : Circ2d from gp ;
+Linon : Lin2d from gp ;
+Curvon : Curve from Geom2dAdaptor;
+FirstRad : Real from Standard ;
+TheType : Type2 from Geom2dGcc ;
+
+end FunctionTanCuCuOnCu;
+
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanCuCuOnCu.ixx>
+
+#include <Standard_ConstructionError.hxx>
+#include <ElCLib.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+void Geom2dGcc_FunctionTanCuCuOnCu::
+ InitDerivative(const math_Vector& X,
+ gp_Pnt2d& Point1,
+ gp_Pnt2d& Point2,
+ gp_Pnt2d& Point3,
+ gp_Vec2d& Tan1,
+ gp_Vec2d& Tan2,
+ gp_Vec2d& Tan3,
+ gp_Vec2d& D21,
+ gp_Vec2d& D22,
+ gp_Vec2d& D23) {
+ switch (TheType) {
+ case Geom2dGcc_CuCuOnCu:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CiCuOnCu:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_LiCuOnCu:
+ {
+ ElCLib::D1(X(1),Lin1,Point1,Tan1);
+ D21 = gp_Vec2d(0.,0.);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ Geom2dGcc_CurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CuPtOnCu:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curvon,X(3),Point3,Tan3,D23);
+ Point2 = Pnt2;
+ Tan2 = gp_Vec2d(0.,0.);
+ D22 = gp_Vec2d(0.,0.);
+ }
+ break;
+ case Geom2dGcc_CuCuOnCi:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CiCuOnCi:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_LiCuOnCi:
+ {
+ ElCLib::D1(X(1),Lin1,Point1,Tan1);
+ D21 = gp_Vec2d(0.,0.);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CuPtOnCi:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Point2 = Pnt2;
+ Tan2 = gp_Vec2d(0.,0.);
+ D22 = gp_Vec2d(0.,0.);
+ ElCLib::D2(X(3),Circon,Point3,Tan3,D23);
+ }
+ break;
+ case Geom2dGcc_CuCuOnLi:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ ElCLib::D1(X(3),Linon,Point3,Tan3);
+ D23 = gp_Vec2d(0.,0.);
+ }
+ break;
+ case Geom2dGcc_CiCuOnLi:
+ {
+ ElCLib::D2(X(1),Circ1,Point1,Tan1,D21);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ ElCLib::D1(X(3),Linon,Point3,Tan3);
+ D23 = gp_Vec2d(0.,0.);
+ }
+ break;
+ case Geom2dGcc_LiCuOnLi:
+ {
+ ElCLib::D1(X(1),Lin1,Point1,Tan1);
+ Geom2dGcc_CurveTool::D2(Curv2,X(2),Point2,Tan2,D22);
+ D21 = gp_Vec2d(0.,0.);
+ ElCLib::D1(X(3),Linon,Point3,Tan3);
+ D23 = gp_Vec2d(0.,0.);
+ }
+ break;
+ case Geom2dGcc_CuPtOnLi:
+ {
+ Geom2dGcc_CurveTool::D2(Curv1,X(1),Point1,Tan1,D21);
+ Point2 = Pnt2;
+ Tan2 = gp_Vec2d(0.,0.);
+ D22 = gp_Vec2d(0.,0.);
+ ElCLib::D1(X(3),Linon,Point3,Tan3);
+ D23 = gp_Vec2d(0.,0.);
+ }
+ break;
+ default:
+ {
+ Standard_ConstructionError::Raise();
+ }
+ }
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Curv2 = C2;
+ Curvon = C3;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuCuOnCu;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ,
+ const Standard_Real Rad ) {
+ Circ1 = C1;
+ Curv2 = C2;
+ Curvon = C3;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CiCuOnCu;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const Geom2dAdaptor_Curve& C3 ,
+ const Standard_Real Rad ) {
+ Lin1 = L1;
+ Curv2 = C2;
+ Curvon = C3;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_LiCuOnCu;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const gp_Pnt2d& P2 ,
+ const Geom2dAdaptor_Curve& C3 ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Pnt2 = P2;
+ Curvon = C3;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuPtOnCu;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Lin2d& OnLi ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Curv2 = C2;
+ Linon = OnLi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuCuOnLi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Lin2d& OnLi ,
+ const Standard_Real Rad ) {
+ Circ1 = C1;
+ Curv2 = C2;
+ Linon = OnLi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CiCuOnLi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Lin2d& OnLi ,
+ const Standard_Real Rad ) {
+ Lin1 = L1;
+ Curv2 = C2;
+ Linon = OnLi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_LiCuOnLi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const gp_Pnt2d& P2 ,
+ const gp_Lin2d& OnLi ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Pnt2 = P2;
+ Linon = OnLi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuPtOnLi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Circ2d& OnCi ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Curv2 = C2;
+ Circon = OnCi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuCuOnCi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Circ2d& C1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Circ2d& OnCi ,
+ const Standard_Real Rad ) {
+ Circ1 = C1;
+ Curv2 = C2;
+ Circon = OnCi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuCuOnCi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const gp_Lin2d& L1 ,
+ const Geom2dAdaptor_Curve& C2 ,
+ const gp_Circ2d& OnCi ,
+ const Standard_Real Rad ) {
+ Lin1 = L1;
+ Curv2 = C2;
+ Circon = OnCi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_LiCuOnCi;
+}
+
+Geom2dGcc_FunctionTanCuCuOnCu::
+ Geom2dGcc_FunctionTanCuCuOnCu(const Geom2dAdaptor_Curve& C1 ,
+ const gp_Pnt2d& P2 ,
+ const gp_Circ2d& OnCi ,
+ const Standard_Real Rad ) {
+ Curv1 = C1;
+ Pnt2 = P2;
+ Circon = OnCi;
+ FirstRad = Rad;
+ TheType = Geom2dGcc_CuPtOnCi;
+}
+
+Standard_Integer Geom2dGcc_FunctionTanCuCuOnCu::
+ NbVariables () const { return 4; }
+
+Standard_Integer Geom2dGcc_FunctionTanCuCuOnCu::
+ NbEquations () const { return 4; }
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuOnCu::
+ Value (const math_Vector& X ,
+ math_Vector& Fval ) {
+ gp_Pnt2d Point1,Point2,Point3;
+ gp_Vec2d Tan1,Tan2,Tan3,D21,D22,D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+//pipj (normes) et PiPj (non Normes).
+ gp_Vec2d P1P2(Point1,Point2);
+ gp_Vec2d P2P3(Point2,Point3);
+ gp_Vec2d P3P1(Point3,Point1);
+ gp_Vec2d p1p2,p2p3,p3p1;
+// if (FirstRad < 1.) {FirstRad = 1.; }
+ p1p2 = P1P2/FirstRad;
+ p2p3 = P2P3/FirstRad;
+ p3p1 = P3P1/FirstRad;
+//norme des Tani.
+ Standard_Real nnor1 = Tan1.Magnitude();
+ Standard_Real nnor2 = Tan2.Magnitude();
+// Fonctions Fui.
+// ==============
+ Fval(1) = (P3P1.Dot(P3P1)-X(4)*X(4))/(FirstRad*FirstRad);
+ Fval(2) = (P2P3.Dot(P2P3)-X(4)*X(4))/(FirstRad*FirstRad);
+ Fval(3) = P3P1.Dot(Tan1)/(nnor1*FirstRad);
+ Fval(4) = P2P3.Dot(Tan2)/(nnor2*FirstRad);
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuOnCu::
+ Derivatives (const math_Vector& X ,
+ math_Matrix& Deriv ) {
+ gp_Pnt2d Point1,Point2,Point3;
+ gp_Vec2d Tan1,Tan2,Tan3;
+ gp_Vec2d D21,D22,D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+//pipj (normes) et PiPj (non Normes).
+ gp_Vec2d P1P2(Point1,Point2);
+ gp_Vec2d P2P3(Point2,Point3);
+ gp_Vec2d P3P1(Point3,Point1);
+ gp_Vec2d p1p2,p2p3,p3p1;
+// if (FirstRad < 1.) {FirstRad = 1.; }
+ p1p2 = P1P2/FirstRad;
+ p2p3 = P2P3/FirstRad;
+ p3p1 = P3P1/FirstRad;
+//normales au courbes normees Nori et non nromees nori et norme des nori.
+ Standard_Real nnor1 = Tan1.Magnitude();
+ Standard_Real nnor2 = Tan2.Magnitude();
+// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
+// =============================================
+ Deriv(1,1) = 2.*Tan1.Dot(P3P1)/(FirstRad*FirstRad);
+ Deriv(1,2) = 0.;
+ Deriv(1,3) = -2.*Tan3.Dot(P3P1)/(FirstRad*FirstRad);
+ Deriv(1,4) = -2.*X(4)/(FirstRad*FirstRad);
+
+ Deriv(2,1) = 0.;
+ Deriv(2,2) = -2.*Tan2.Dot(P2P3)/(FirstRad*FirstRad);
+ Deriv(2,3) = 2.*Tan3.Dot(P2P3)/(FirstRad*FirstRad);
+ Deriv(2,4) = -2.*X(4)/(FirstRad*FirstRad);
+
+ Deriv(3,1) = (P3P1.Dot(D21)+Tan1.Dot(Tan1))/(FirstRad*nnor1)-
+ (P3P1.Dot(Tan1)*D21.Dot(Tan1))/(FirstRad*nnor1*nnor1*nnor1);
+ Deriv(3,2) = 0.;
+ Deriv(3,3) = -(Tan3.Dot(Tan1))/(FirstRad*nnor1);
+ Deriv(3,4) = 0.;
+
+ Deriv(4,1) = 0.;
+ Deriv(4,2) = (P2P3.Dot(D22)-Tan2.Dot(Tan2))/(FirstRad*nnor2)-
+ P2P3.Dot(Tan2)*Tan2.Dot(D22)/(FirstRad*nnor2*nnor2*nnor2);
+ Deriv(4,3) = Tan3.Dot(Tan2)/(FirstRad*nnor1);
+ Deriv(4,4) = 0.;
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuCuOnCu::
+ Values (const math_Vector& X ,
+ math_Vector& Fval ,
+ math_Matrix& Deriv ) {
+ gp_Pnt2d Point1,Point2,Point3;
+ gp_Vec2d Tan1,Tan2,Tan3;
+ gp_Vec2d D21,D22,D23;
+ InitDerivative(X,Point1,Point2,Point3,Tan1,Tan2,Tan3,D21,D22,D23);
+//pipj (normes) et PiPj (non Normes).
+ gp_Vec2d P1P2(Point1,Point2);
+ gp_Vec2d P2P3(Point2,Point3);
+ gp_Vec2d P3P1(Point3,Point1);
+ gp_Vec2d p1p2,p2p3,p3p1;
+// if (FirstRad < 1.) {FirstRad = 1.; }
+ p1p2 = P1P2/FirstRad;
+ p2p3 = P2P3/FirstRad;
+ p3p1 = P3P1/FirstRad;
+//normales au courbes normees Nori et non nromees nori et norme des nori.
+ Standard_Real nnor1 = Tan1.Magnitude();
+ Standard_Real nnor2 = Tan2.Magnitude();
+// Fonctions Fui.
+// ==============
+ Fval(1) = (P3P1.Dot(P3P1)-X(4)*X(4))/(FirstRad*FirstRad);
+ Fval(2) = (P2P3.Dot(P2P3)-X(4)*X(4))/(FirstRad*FirstRad);
+ Fval(3) = P3P1.Dot(Tan1)/(nnor1*FirstRad);
+ Fval(4) = P2P3.Dot(Tan2)/(nnor2*FirstRad);
+// Derivees dFui/uj 1 <= ui <= 3 , 1 <= uj <= 3
+// =============================================
+ Deriv(1,1) = 2.*Tan1.Dot(P3P1)/(FirstRad*FirstRad);
+ Deriv(1,2) = 0.;
+ Deriv(1,3) = -2.*Tan3.Dot(P3P1)/(FirstRad*FirstRad);
+ Deriv(1,4) = -2.*X(4)/(FirstRad*FirstRad);
+
+ Deriv(2,1) = 0.;
+ Deriv(2,2) = -2.*Tan2.Dot(P2P3)/(FirstRad*FirstRad);
+ Deriv(2,3) = 2.*Tan3.Dot(P2P3)/(FirstRad*FirstRad);
+ Deriv(2,4) = -2.*X(4)/(FirstRad*FirstRad);
+
+ Deriv(3,1) = (P3P1.Dot(D21)+Tan1.Dot(Tan1))/(FirstRad*nnor1)-
+ (P3P1.Dot(Tan1)*D21.Dot(Tan1))/(FirstRad*nnor1*nnor1*nnor1);
+ Deriv(3,2) = 0.;
+ Deriv(3,3) = -(Tan3.Dot(Tan1))/(FirstRad*nnor1);
+ Deriv(3,4) = 0.;
+
+ Deriv(4,1) = 0.;
+ Deriv(4,2) = (P2P3.Dot(D22)-Tan2.Dot(Tan2))/(FirstRad*nnor2)-
+ P2P3.Dot(Tan2)*Tan2.Dot(D22)/(FirstRad*nnor2*nnor2*nnor2);
+ Deriv(4,3) = Tan3.Dot(Tan2)/(FirstRad*nnor1);
+ Deriv(4,4) = 0.;
+ return Standard_True;
+}
+
--- /dev/null
+-- Created on: 1992-02-20
+-- Created by: Remy GILET
+-- Copyright (c) 1992-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanCuPnt from Geom2dGcc
+
+inherits FunctionWithDerivative from math
+
+ ---Purpose: This abstract class describes a Function of 1 Variable
+ -- used to find a line tangent to a curve and passing
+ -- through a point.
+
+uses
+ Pnt2d from gp,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+is
+
+Create (C : Curve from Geom2dAdaptor ;
+ Point : Pnt2d from gp ) returns FunctionTanCuPnt from Geom2dGcc;
+
+Value (me : in out ;
+ X : Real ;
+ F : out Real ) returns Boolean;
+ ---Purpose: Computes the value of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Derivative (me : in out ;
+ X : Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the derivative of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Values (me : in out ;
+ X : Real ;
+ F : out Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the value and the derivative of the function F
+ -- for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+fields
+
+TheCurv : Curve from Geom2dAdaptor;
+ThePoint : Pnt2d from gp;
+
+end FunctionTanCuPnt;
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanCuPnt.ixx>
+
+#include <gp_Vec2d.hxx>
+#include <gp_Pnt2d.hxx>
+#include <gp_Vec.hxx>
+#include <gp_Pnt.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+//=========================================================================
+// soit P1 le point sur la courbe Geom2dAdaptor_Curve d abscisse u. +
+// soit C le point ThePoint. +
+// Nous cherchons donc les zeros de la fonction suivante: +
+// +
+// --> --> +
+// CP1 /\ T +
+// --------------- = F(u) +
+// ||CP1|| * ||T|| +
+// +
+// La derivee de cette fonction est : +
+// CP1 /\ N (T.N)*((CP1/\T).((CP1/\T)) +
+// f(u) = -------- - -------------------------------- +
+// N.N N*N*N*CP1*CP1*CP1 +
+//=========================================================================
+
+Geom2dGcc_FunctionTanCuPnt::
+Geom2dGcc_FunctionTanCuPnt(const Geom2dAdaptor_Curve& C ,
+ const gp_Pnt2d& Point ) {
+ TheCurv = C;
+ ThePoint = Point;
+}
+
+
+Standard_Boolean Geom2dGcc_FunctionTanCuPnt::
+Value (const Standard_Real X ,
+ Standard_Real& Fval ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vect;
+ Geom2dGcc_CurveTool::D1(TheCurv,X,Point,Vect);
+ Standard_Real NormeD1 = Vect.Magnitude();
+ gp_Vec2d TheDirection(ThePoint,Point);
+ Standard_Real NormeDir = TheDirection.Magnitude();
+ Fval = TheDirection.Crossed(Vect)/(NormeD1*NormeDir);
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuPnt::
+Derivative (const Standard_Real X ,
+ Standard_Real& Deriv ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vec1;
+ gp_Vec2d Vec2;
+ Geom2dGcc_CurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
+ gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY()));
+ Standard_Real NormeD1 = Vec1.Magnitude();
+ Standard_Real NormeDir = TheDirection.Magnitude();
+ Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)-
+ (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))*
+ (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+
+ Vec1.Dot(TheDirection)/(NormeDir*NormeDir));
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanCuPnt::
+Values (const Standard_Real X ,
+ Standard_Real& Fval ,
+ Standard_Real& Deriv ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vec1;
+ gp_Vec2d Vec2;
+ Geom2dGcc_CurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
+ gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY()));
+ Standard_Real NormeD1 = Vec1.Magnitude();
+ Standard_Real NormeDir = TheDirection.Magnitude();
+ Fval = TheDirection.Crossed(Vec1)/(NormeD1*NormeDir);
+ Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)-
+ (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))*
+ (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+
+ Vec1.Dot(TheDirection)/(NormeDir*NormeDir));
+
+ // cout << "U = "<< X << " F ="<< Fval <<" DF ="<< Deriv<<endl;
+
+ return Standard_True;
+}
--- /dev/null
+-- Created on: 1992-01-09
+-- Created by: Remi GILET
+-- Copyright (c) 1992-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+private class FunctionTanObl from Geom2dGcc inherits FunctionWithDerivative from math
+ ---Purpose: This class describe a function of a single variable.
+
+uses
+ Dir2d from gp,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc
+
+is
+
+Create (Curve : Curve from Geom2dAdaptor ;
+ Dir : Dir2d from gp ) returns FunctionTanObl from Geom2dGcc;
+
+Value (me : in out ;
+ X : Real ;
+ F : out Real ) returns Boolean;
+ ---Purpose: Computes the value of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Derivative (me : in out ;
+ X : Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the derivative of the function F for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+Values (me : in out ;
+ X : Real ;
+ F : out Real ;
+ Deriv : out Real ) returns Boolean;
+ ---Purpose: Computes the value and the derivative of the function F
+ -- for the variable X.
+ -- It returns True if the computation is successfully done,
+ -- False otherwise.
+
+fields
+
+TheCurv : Curve from Geom2dAdaptor ;
+TheDirection : Dir2d from gp;
+
+end FunctionTanObl;
+
+
--- /dev/null
+// Created on: 1992-01-20
+// Created by: Remi GILET
+// Copyright (c) 1992-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#include <Geom2dGcc_FunctionTanObl.ixx>
+
+#include <gp_Vec2d.hxx>
+#include <gp_Pnt2d.hxx>
+
+#include <Geom2dAdaptor_Curve.hxx>
+#include <Geom2dGcc_CurveTool.hxx>
+
+Geom2dGcc_FunctionTanObl::
+Geom2dGcc_FunctionTanObl(const Geom2dAdaptor_Curve& C,
+ const gp_Dir2d& Dir )
+{
+ TheCurv = C;
+ TheDirection = Dir;
+}
+
+
+Standard_Boolean Geom2dGcc_FunctionTanObl::
+Value (const Standard_Real X,
+ Standard_Real& Fval ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vect;
+ Geom2dGcc_CurveTool::D1(TheCurv,X,Point,Vect);
+ Standard_Real NormeD1 = Vect.Magnitude();
+ Fval = TheDirection.XY().Crossed(Vect.XY())/NormeD1;
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanObl::
+Derivative (const Standard_Real X,
+ Standard_Real& Deriv )
+{
+ gp_Pnt2d Point;
+ gp_Vec2d Vec1;
+ gp_Vec2d Vec2;
+ Geom2dGcc_CurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
+ Standard_Real NormeD1 = Vec1.Magnitude();
+ Deriv = TheDirection.XY().Crossed(Vec2.XY())/NormeD1-
+ Vec1.XY().Dot(Vec2.XY())*TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
+ return Standard_True;
+}
+
+Standard_Boolean Geom2dGcc_FunctionTanObl::
+Values (const Standard_Real X ,
+ Standard_Real& Fval ,
+ Standard_Real& Deriv ) {
+ gp_Pnt2d Point;
+ gp_Vec2d Vec1;
+ gp_Vec2d Vec2;
+ Geom2dGcc_CurveTool::D2(TheCurv,X,Point,Vec1,Vec2);
+ Standard_Real NormeD1 = Vec1.Magnitude();
+ Fval = TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
+ Deriv = TheDirection.XY().Crossed(Vec2.XY())/NormeD1-
+ Vec1.XY().Dot(Vec2.XY())*TheDirection.XY().Crossed(Vec1.XY())/NormeD1;
+ return Standard_True;
+}
+
Array1OfLin2d from TColgp,
Position from GccEnt,
Array1OfPosition from GccEnt,
- MyL2d2Tan from Geom2dGcc,
+ Lin2d2TanIter from Geom2dGcc,
Curve from Geom2dAdaptor
raises NotDone from StdFail,
-- Modified by Sergey KHROMOV - Wed Oct 16 12:04:52 2002 Begin
Add(me: in out; theIndex: Integer from Standard;
- theLin : MyL2d2Tan from Geom2dGcc;
+ theLin : Lin2d2TanIter from Geom2dGcc;
theTol : Real from Standard;
theC1 : Curve from Geom2dAdaptor;
theC2 : Curve from Geom2dAdaptor)
#include <Geom2dGcc_Lin2d2Tan.ixx>
#include <Geom2dGcc_QCurve.hxx>
#include <GccAna_Lin2d2Tan.hxx>
-#include <Geom2dGcc_MyL2d2Tan.hxx>
+#include <Geom2dGcc_Lin2d2TanIter.hxx>
#include <Geom2d_Circle.hxx>
#include <GccEnt_QualifiedCirc.hxx>
#include <StdFail_NotDone.hxx>
Param2 = a2FPar;
for (j = 0; j <= aNbSamples2 && NbrSol < 4; j++) {
- Geom2dGcc_MyL2d2Tan Lin(Qc1,Qc2,Param1,Param2,Tolang);
+ Geom2dGcc_Lin2d2TanIter Lin(Qc1,Qc2,Param1,Param2,Tolang);
if (Lin.IsDone()) {
if (Add(NbrSol + 1, Lin, Tolang, C1, C2))
Standard_Integer i;
for (i = 0; i <= aNbSamples && NbrSol < 2; i++) {
- Geom2dGcc_MyL2d2Tan Lin(Qc1,ThePoint,Param1,Tolang);
+ Geom2dGcc_Lin2d2TanIter Lin(Qc1,ThePoint,Param1,Tolang);
if (Lin.IsDone()) {
if (Add(NbrSol + 1, Lin, Tolang, C1, Geom2dAdaptor_Curve()))
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
Geom2dGcc_QCurve Qc2(C2,Qualified2.Qualifier());
- Geom2dGcc_MyL2d2Tan Lin(Qc1,Qc2,Param1,Param2,Tolang);
+ Geom2dGcc_Lin2d2TanIter Lin(Qc1,Qc2,Param1,Param2,Tolang);
WellDone = Lin.IsDone();
// Modified by Sergey KHROMOV - Thu Apr 5 17:51:59 2001 Begin
if (WellDone) {
}
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
- Geom2dGcc_MyL2d2Tan Lin(Qc1,ThePoint,Param1,Tolang);
+ Geom2dGcc_Lin2d2TanIter Lin(Qc1,ThePoint,Param1,Tolang);
WellDone = Lin.IsDone();
// Modified by Sergey KHROMOV - Thu Apr 5 17:53:01 2001 Begin
if (WellDone) {
}
Standard_Boolean Geom2dGcc_Lin2d2Tan::Add(const Standard_Integer theIndex,
- const Geom2dGcc_MyL2d2Tan &theLin,
+ const Geom2dGcc_Lin2d2TanIter &theLin,
const Standard_Real theTol,
const Geom2dAdaptor_Curve &theC1,
const Geom2dAdaptor_Curve &theC2)
--- /dev/null
+-- Created on: 1991-04-24
+-- Created by: Remi GILET
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+class Lin2d2TanIter from Geom2dGcc
+
+ ---Purpose: This class implements the algorithms used to
+ -- create 2d lines tangent to 2 other elements which
+ -- can be circles, curves or points.
+ -- More than one argument must be a curve.
+ --
+ -- Note: Some constructors may check the type of the qualified argument
+ -- and raise BadQualifier Error in case of incorrect couple (qualifier,
+ -- curv).
+ -- For example: "EnclosedCirc".
+
+uses Pnt2d from gp,
+ Lin2d from gp,
+ QualifiedCirc from GccEnt,
+ Position from GccEnt,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc,
+ QCurve from Geom2dGcc
+
+raises BadQualifier from GccEnt,
+ NotDone from StdFail
+
+is
+
+Create (Qualified1 : QCurve from Geom2dGcc ;
+ ThePoint : Pnt2d ;
+ Param1 : Real ;
+ Tolang : Real ) returns Lin2d2TanIter from Geom2dGcc
+ ---Purpose: This class implements the algorithms used to create 2d
+ -- lines passing thrue a point and tangent to a curve.
+ -- Tolang is used to determine the tolerance for the
+ -- tangency points.
+ -- Param2 is used for the initial guess on the curve.
+raises BadQualifier from GccEnt;
+
+Create (Qualified1 : QualifiedCirc ;
+ Qualified2 : QCurve from Geom2dGcc ;
+ Param2 : Real ;
+ Tolang : Real ) returns Lin2d2TanIter from Geom2dGcc
+raises BadQualifier from GccEnt;
+ ---Purpose: This class implements the algorithms used to create 2d
+ -- line tangent to a circle and to a cuve.
+ -- Tolang is used to determine the tolerance for the
+ -- tangency points.
+ -- Param2 is used for the initial guess on the curve.
+ -- Exception BadQualifier is raised in the case of
+ -- EnclosedCirc
+
+Create (Qualified1 : QCurve from Geom2dGcc ;
+ Qualified2 : QCurve from Geom2dGcc ;
+ Param1 : Real ;
+ Param2 : Real ;
+ Tolang : Real ) returns Lin2d2TanIter from Geom2dGcc
+raises BadQualifier from GccEnt;
+ ---Purpose: This class implements the algorithms used to create 2d
+ -- line tangent to two curves.
+ -- Tolang is used to determine the tolerance for the
+ -- tangency points.
+ -- Param1 is used for the initial guess on the first curve.
+ -- Param2 is used for the initial guess on the second curve.
+
+--------------------------------------------------------------------------
+
+IsDone (me) returns Boolean
+is static;
+ ---Purpose: This methode returns true when there is a solution
+ -- and false in the other cases.
+
+ThisSolution(me) returns Lin2d
+raises NotDone from StdFail
+is static;
+ ---Purpose: Returns the solution.
+
+WhichQualifier(me ;
+ Qualif1 : out Position from GccEnt;
+ Qualif2 : out Position from GccEnt)
+raises NotDone from StdFail
+is static;
+ -- It returns the informations about the qualifiers of the tangency
+ -- arguments concerning the solution number Index.
+ -- It returns the real qualifiers (the qualifiers given to the
+ -- constructor method in case of enclosed, enclosing and outside
+ -- and the qualifiers computedin case of unqualified).
+
+Tangency1(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+raises NotDone from StdFail
+is static;
+ ---Purpose: Returns informations about the tangency point between the
+ -- result and the first argument.
+ -- ParSol is the intrinsic parameter of the point PntSol on
+ -- the solution curv.
+ -- ParArg is the intrinsic parameter of the point PntSol on
+ -- the argument curv.
+
+Tangency2(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+raises NotDone from StdFail
+is static;
+ -- Returns informations about the tangency point between the
+ -- result and the first argument.
+ -- ParSol is the intrinsic parameter of the point PntSol on the solution
+ -- curv.
+ -- ParArg is the intrinsic parameter of the point PntSol on the argument
+ -- curv.
+
+fields
+
+ WellDone : Boolean;
+ -- True if the algorithm succeeded.
+
+ linsol : Lin2d;
+ ---Purpose : The solutions.
+
+ qualifier1 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ qualifier2 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ pnttg1sol : Pnt2d;
+ -- The tangency point between the solution and the first argument on
+ -- the solution.
+
+ pnttg2sol : Pnt2d;
+ -- The tangency point between the solution and the second argument on
+ -- the solution.
+
+ par1sol : Real;
+ -- The parameter of the tangency point between the solution and the
+ -- first argument on the solution.
+
+ par2sol : Real;
+ -- The parameter of the tangency point between the solution and the
+ -- second argument on the solution.
+
+ pararg1 : Real;
+ -- The parameter of the tangency point between the solution and the first
+ -- argument on the first argument.
+
+ pararg2 : Real;
+ -- The parameter of the tangency point between the solution and the second
+ -- argument on the second argument.
+
+end Lin2d2TanIter;
--- /dev/null
+// Created on: 1991-12-20
+// Created by: Remi GILET
+// Copyright (c) 1991-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+//========================================================================
+// CREATION D UNE LIGNE TANGENTE A DEUX COURBES. +
+//========================================================================
+
+#include <Geom2dGcc_Lin2d2TanIter.ixx>
+
+#include <StdFail_NotDone.hxx>
+#include <GccEnt_BadQualifier.hxx>
+#include <gp_XY.hxx>
+#include <gp_Dir2d.hxx>
+#include <gp_Vec2d.hxx>
+#include <gp_Circ2d.hxx>
+#include <math_Vector.hxx>
+#include <math_Matrix.hxx>
+#include <math_FunctionSetRoot.hxx>
+#include <math_FunctionRoot.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+
+#include <Geom2dGcc_FunctionTanCuCu.hxx>
+#include <Geom2dGcc_FunctionTanCuPnt.hxx>
+#include <Geom2dGcc_FunctionTanCirCu.hxx>
+
+Geom2dGcc_Lin2d2TanIter::
+Geom2dGcc_Lin2d2TanIter (const GccEnt_QualifiedCirc& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolang ) {
+
+ par1sol = 0.;
+ pararg1 = 0.;
+
+ //Standard_Real Tol = Abs(Tolang);
+
+ WellDone = Standard_False;
+ if (Qualified1.IsEnclosed()) { GccEnt_BadQualifier::Raise(); }
+ gp_Circ2d C1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Standard_Real U1 = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Standard_Real U2 = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Geom2dGcc_FunctionTanCirCu func(C1,Cu2);
+ math_FunctionRoot sol(func,Param2,Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolang)),U1,U2,100);
+ if (sol.IsDone()) {
+ Standard_Real Usol = sol.Root();
+ // gp_Pnt2d Origine,Pt;
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:39:47 2001 Begin
+ Standard_Real Norm;
+ func.Value(Usol, Norm);
+ if (Abs(Norm) < Tolang) {
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:39:48 2001 End
+ gp_Pnt2d Origine;
+ gp_Vec2d Vect1;
+ gp_Vec2d Vect2;
+ Geom2dGcc_CurveTool::D2(Cu2,Usol,Origine,Vect1,Vect2);
+ gp_Vec2d Vdir(C1.Location().XY() - Origine.XY());
+ Standard_Real sign1 = Vect1.Dot(Vdir);
+ if (sign1 <= 0. ) { Vect1.Reverse(); }
+ Standard_Real sign2 = Vect2.Crossed(Vect1);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing() && sign2<=0.) ||
+ (Qualified2.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
+ (Qualified2.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsOutside() && Vect1.Angle(Vdir) <= 0.) ||
+ (Qualified1.IsEnclosing() && Vect1.Angle(Vdir) >= 0.)) {
+ gp_Dir2d direc(Vect1);
+ Standard_Real R1 = C1.Radius();
+ gp_XY normal(-R1*direc.Y(),R1*direc.X());
+ sign1 = Vect1.Crossed(Vdir);
+ if (Qualified1.IsEnclosing()) {
+ pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
+ }
+ else if (Qualified1.IsOutside()) {
+ pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
+ }
+ else {
+ if (sign1 >= 0.) {
+ pnttg1sol = gp_Pnt2d(C1.Location().XY()-normal);
+ }
+ else {
+ pnttg1sol = gp_Pnt2d(C1.Location().XY()+normal);
+ }
+ }
+ // if (gp_Vec2d(direc.XY()).Angle(gp_Vec2d(pnttg1sol,Origine)) <= Tol) {
+ pnttg2sol = Origine;
+ linsol = gp_Lin2d(pnttg1sol,direc);
+ WellDone = Standard_True;
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pararg2 = Usol;
+ par1sol = 0.;
+ par2sol = pnttg2sol.Distance(pnttg1sol);
+ pararg1 = 0.;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Lin2d2TanIter::
+Geom2dGcc_Lin2d2TanIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const Geom2dGcc_QCurve& Qualified2 ,
+ const Standard_Real Param1 ,
+ const Standard_Real Param2 ,
+ const Standard_Real Tolang ) {
+ par1sol = 0.;
+ pararg1 = 0.;
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified()) ||
+ !(Qualified2.IsEnclosed() || Qualified2.IsEnclosing() ||
+ Qualified2.IsOutside() || Qualified2.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Geom2dAdaptor_Curve Cu2 = Qualified2.Qualified();
+ Geom2dGcc_FunctionTanCuCu Func(Cu1,Cu2);
+ math_Vector Umin(1,2);
+ math_Vector Umax(1,2);
+ math_Vector Ufirst(1,2);
+ math_Vector tol(1,2);
+ Umin(1) = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Umin(2) = Geom2dGcc_CurveTool::FirstParameter(Cu2);
+ Umax(1) = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Umax(2) = Geom2dGcc_CurveTool::LastParameter(Cu2);
+ Ufirst(1) = Param1;
+ Ufirst(2) = Param2;
+ tol(1) = Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolang));
+ tol(2) = Geom2dGcc_CurveTool::EpsX(Cu2,Abs(Tolang));
+ math_FunctionSetRoot Root(Func,Ufirst,tol,Umin,Umax);
+ if (Root.IsDone()) {
+ Root.Root(Ufirst);
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:45:00 2001 Begin
+ math_Vector Norm(1,2);
+ Func.Value(Ufirst, Norm);
+ if (Abs(Norm(1)) < Tolang && Abs(Norm(2)) < Tolang) {
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:45:01 2001 End
+ gp_Pnt2d point1,point2;
+ gp_Vec2d Vect11,Vect12,Vect21,Vect22;
+ Geom2dGcc_CurveTool::D2(Cu1,Ufirst(1),point1,Vect11,Vect12);
+ Geom2dGcc_CurveTool::D2(Cu2,Ufirst(2),point2,Vect21,Vect22);
+ gp_Vec2d Vec(point1.XY(),point2.XY());
+ Standard_Real Angle1 = Vec.Angle(Vect12);
+ Standard_Real sign1 = Vect11.Dot(Vec);
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && Angle1 >= 0.) ||
+ (Qualified1.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
+ (Qualified1.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
+ Angle1 = Vec.Angle(Vect22);
+ sign1 = Vect21.Dot(Vec);
+ if (Qualified2.IsUnqualified() ||
+ (Qualified2.IsEnclosing() && Angle1 >= 0.) ||
+ (Qualified2.IsOutside() && Angle1 <= 0. && sign1 <= 0.) ||
+ (Qualified2.IsEnclosed() && Angle1 <= 0. && sign1 >= 0.)) {
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = Qualified2.Qualifier();
+ pararg1 = Ufirst(1);
+ par1sol = 0.;
+ pnttg1sol = point1;
+ pararg2 = Ufirst(2);
+ pnttg2sol = point2;
+ par2sol = pnttg2sol.Distance(pnttg1sol);
+ gp_Dir2d dir(pnttg2sol.X()-pnttg1sol.X(),pnttg2sol.Y()-pnttg1sol.Y());
+ linsol = gp_Lin2d(pnttg1sol,dir);
+ WellDone = Standard_True;
+ }
+ }
+ }
+ }
+}
+
+Geom2dGcc_Lin2d2TanIter::
+Geom2dGcc_Lin2d2TanIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Pnt2d& ThePoint ,
+ const Standard_Real Param1 ,
+ const Standard_Real Tolang ) {
+
+ par1sol = 0.;
+ pararg1 = 0.;
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Standard_Real U1 = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Standard_Real U2 = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ Geom2dGcc_FunctionTanCuPnt func(Cu1,ThePoint);
+ math_FunctionRoot sol(func,Param1,Geom2dGcc_CurveTool::EpsX(Cu1,Abs(Tolang)),U1,U2,100);
+ if (sol.IsDone()) {
+ Standard_Real Usol = sol.Root();
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:45:17 2001 Begin
+ Standard_Real Norm;
+ func.Value(Usol, Norm);
+ if (Abs(Norm) < Tolang) {
+ // Modified by Sergey KHROMOV - Thu Apr 5 17:45:19 2001 End
+ gp_Pnt2d Origine;
+ gp_Vec2d Vect1;
+ gp_Vec2d Vect2;
+ Geom2dGcc_CurveTool::D2(Cu1,Usol,Origine,Vect1,Vect2);
+ gp_Vec2d Vdir(ThePoint.XY()-Origine.XY());
+ Standard_Real sign1 = Vect1.Dot(Vdir);
+ Standard_Real sign2 = Vect2.Crossed(Vdir);
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() &&
+ ((sign1 >= 0. && sign2 <= 0.) || (sign1 <= 0. && sign2 <= 0.))) ||
+ (Qualified1.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
+ (Qualified1.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
+ WellDone = Standard_True;
+ linsol = gp_Lin2d(Origine,gp_Dir2d(Vdir));
+ qualifier1 = Qualified1.Qualifier();
+ qualifier2 = GccEnt_noqualifier;
+ pnttg1sol = Origine;
+ pnttg2sol = ThePoint;
+ pararg1 = Usol;
+ par1sol = 0.;
+ pararg2 = ThePoint.Distance(Origine);
+ par2sol = 0.;
+ }
+ }
+ }
+}
+
+Standard_Boolean Geom2dGcc_Lin2d2TanIter::
+IsDone () const { return WellDone; }
+
+gp_Lin2d Geom2dGcc_Lin2d2TanIter::
+ThisSolution () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+ return linsol;
+}
+
+void Geom2dGcc_Lin2d2TanIter::
+WhichQualifier (GccEnt_Position& Qualif1 ,
+ GccEnt_Position& Qualif2 ) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ Qualif1 = qualifier1;
+ Qualif2 = qualifier2;
+ }
+}
+
+void Geom2dGcc_Lin2d2TanIter::
+Tangency1 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& Pnt) const {
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = par1sol;
+ ParArg = pararg1;
+ Pnt = pnttg1sol;
+ }
+}
+
+void Geom2dGcc_Lin2d2TanIter::
+Tangency2 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& Pnt) const {
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = par2sol;
+ ParArg = pararg2;
+ Pnt = pnttg2sol;
+ }
+}
+
Position from GccEnt,
Array1OfPosition from GccEnt,
Curve from Geom2dAdaptor,
- MyL2dTanObl from Geom2dGcc
+ Lin2dTanOblIter from Geom2dGcc
raises BadQualifier from GccEnt,
NotDone from StdFail,
- IsParallel from GccIter,
+ IsParallel from Geom2dGcc,
OutOfRange from Standard
is
Index : Integer from Standard;
ParSol,ParArg : out Real from Standard;
PntSol : out Pnt2d from gp )
-raises NotDone from StdFail, IsParallel from GccIter, OutOfRange from Standard
+raises NotDone from StdFail, IsParallel from Geom2dGcc, OutOfRange from Standard
is static;
---Purpose: Returns the point of intersection PntSol between the
-- solution of index Index and the second argument (the line) of this algorithm.
-- solution. ParArg is the parameter of the point PntSol on the second argument (the line).
-- Exceptions
-- StdFail_NotDone if the construction fails.
- -- GccIter_IsParallel if the solution and the second
+ -- Geom2dGcc_IsParallel if the solution and the second
-- argument (the line) are parallel.
-- Standard_OutOfRange if Index is less than zero or
-- greater than the number of solutions computed by this algorithm.
-- Modified by Sergey KHROMOV - Wed Oct 16 12:04:52 2002 Begin
Add(me: in out; theIndex: Integer from Standard;
- theLin : MyL2dTanObl from Geom2dGcc;
+ theLin : Lin2dTanOblIter from Geom2dGcc;
theTol : Real from Standard;
theC1 : Curve from Geom2dAdaptor)
returns Boolean from Standard
#include <Geom2dGcc_Lin2dTanObl.ixx>
#include <Geom2dGcc_QCurve.hxx>
#include <GccAna_Lin2dTanObl.hxx>
-#include <Geom2dGcc_MyL2dTanObl.hxx>
+#include <Geom2dGcc_Lin2dTanOblIter.hxx>
#include <Geom2d_Circle.hxx>
#include <GccEnt_QualifiedCirc.hxx>
#include <StdFail_NotDone.hxx>
Standard_Integer i;
for (i = 0; i <= aNbSamples && NbrSol < 2; i++) {
- Geom2dGcc_MyL2dTanObl Lin(Qc1,TheLine,Param1,TolAng,Angle);
+ Geom2dGcc_Lin2dTanOblIter Lin(Qc1,TheLine,Param1,TolAng,Angle);
if (Lin.IsDone()) {
if (Add(NbrSol + 1, Lin, TolAng, C1))
}
else {
Geom2dGcc_QCurve Qc1(C1,Qualified1.Qualifier());
- Geom2dGcc_MyL2dTanObl Lin(Qc1,TheLine,TolAng,Param1,Angle);
+ Geom2dGcc_Lin2dTanOblIter Lin(Qc1,TheLine,TolAng,Param1,Angle);
WellDone = Lin.IsDone();
if(WellDone) {
linsol(1) = Lin.ThisSolution();
Standard_Boolean Geom2dGcc_Lin2dTanObl::Add
(const Standard_Integer theIndex,
- const Geom2dGcc_MyL2dTanObl &theLin,
+ const Geom2dGcc_Lin2dTanOblIter &theLin,
const Standard_Real theTol,
const Geom2dAdaptor_Curve &theC1)
{
--- /dev/null
+-- Created on: 1991-04-24
+-- Created by: Remi GILET
+-- Copyright (c) 1991-1999 Matra Datavision
+-- Copyright (c) 1999-2014 OPEN CASCADE SAS
+--
+-- This file is part of Open CASCADE Technology software library.
+--
+-- This library is free software; you can redistribute it and/or modify it under
+-- the terms of the GNU Lesser General Public License version 2.1 as published
+-- by the Free Software Foundation, with special exception defined in the file
+-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+-- distribution for complete text of the license and disclaimer of any warranty.
+--
+-- Alternatively, this file may be used under the terms of Open CASCADE
+-- commercial license or contractual agreement.
+
+class Lin2dTanOblIter from Geom2dGcc
+
+ ---Purpose: This class implements the algorithms used to
+ -- create 2d line tangent to a curve QualifiedCurv and
+ -- doing an angle Angle with a line TheLin.
+ -- The angle must be in Radian.
+
+uses Lin2d from gp,
+ Pnt2d from gp,
+ Position from GccEnt,
+ Curve from Geom2dAdaptor,
+ CurveTool from Geom2dGcc,
+ QCurve from Geom2dGcc
+
+raises BadQualifier from GccEnt,
+ NotDone from StdFail,
+ IsParallel from Geom2dGcc
+
+is
+
+Create (Qualified1 : QCurve from Geom2dGcc ;
+ TheLin : Lin2d ;
+ Param1 : Real ;
+ TolAng : Real ;
+ Angle : Real = 0 ) returns Lin2dTanOblIter from Geom2dGcc
+raises BadQualifier from GccEnt;
+ ---Purpose: This class implements the algorithm used to
+ -- create 2d line tangent to a curve and doing an
+ -- angle Angle with the line TheLin.
+ -- Angle must be in Radian.
+ -- Param2 is the initial guess on the curve QualifiedCurv.
+ -- Tolang is the angular tolerance.
+
+-- ........................................................................
+
+IsDone(me) returns Boolean
+is static;
+ ---Purpose: This method returns true when there is a solution
+ -- and false in the other cases.
+
+ThisSolution(me) returns Lin2d
+raises NotDone from StdFail
+is static;
+ -- Returns the solution.
+
+WhichQualifier(me ;
+ Qualif1 : out Position from GccEnt)
+raises NotDone from StdFail
+is static;
+ -- It returns the informations about the qualifiers of the tangency
+ -- arguments concerning the solution number Index.
+ -- It returns the real qualifiers (the qualifiers given to the
+ -- constructor method in case of enclosed, enclosing and outside
+ -- and the qualifiers computedin case of unqualified).
+
+Tangency1(me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+raises NotDone from StdFail
+is static;
+ -- Returns informations about the tangency point between the
+ -- result and the first argument.
+ -- ParSol is the intrinsic parameter of the point ParSol on the solution
+ -- curv.
+ -- ParArg is the intrinsic parameter of the point PntSol on the argument
+ -- curv.
+
+Intersection2 (me ;
+ ParSol,ParArg : out Real ;
+ PntSol : out Pnt2d)
+raises NotDone from StdFail, IsParallel from Geom2dGcc
+is static;
+ -- Returns informations about the center (on the curv) of the
+ -- result and the third argument.
+
+IsParallel2(me) returns Boolean
+raises NotDone from StdFail
+is static;
+ -- Returns informations about the center (on the curv) of the
+ -- result and the third argument.
+
+fields
+
+ WellDone : Boolean;
+ -- True if the algorithm succeeded.
+
+ Paral2 : Boolean;
+ -- True if the solution is parallel to the second argument (Angle = 0).
+
+ linsol : Lin2d;
+ ---Purpose : The solution.
+
+ qualifier1 : Position from GccEnt;
+ -- The qualifiers of the first argument.
+
+ pnttg1sol : Pnt2d;
+ -- The tangency point between the solution and the first argument on
+ -- the solution.
+
+ pntint2sol : Pnt2d;
+ -- The tangency point between the solution and the second argument on
+ -- the solution.
+
+ par1sol : Real;
+ -- The parameter of the tangency point between the solution and the
+ -- first argument on the solution.
+
+ par2sol : Real;
+ -- The parameter of the intersection point between the solution and the
+ -- second argument on the solution.
+
+ pararg1 : Real;
+ -- The parameter of the tangency point between the solution and the first
+ -- argument on the first argument.
+
+ pararg2 : Real;
+ -- The parameter of the intersection point between the solution and
+ -- the second argument on the second argument.
+
+end Lin2dTanOblIter;
--- /dev/null
+// Created on: 1991-12-20
+// Created by: Remi GILET
+// Copyright (c) 1991-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+//========================================================================
+// CREATION D UNE LIGNE TANGENTE A UNE COURBE ET PARALLELE A UNE DROITE. +
+//========================================================================
+
+#include <Geom2dGcc_Lin2dTanOblIter.ixx>
+
+#include <IntAna2d_AnaIntersection.hxx>
+#include <IntAna2d_IntPoint.hxx>
+#include <Geom2dGcc_IsParallel.hxx>
+#include <StdFail_NotDone.hxx>
+#include <GccEnt_BadQualifier.hxx>
+#include <math_FunctionRoot.hxx>
+#include <gp_XY.hxx>
+#include <gp_Dir2d.hxx>
+#include <gp_Vec2d.hxx>
+#include <gp_Circ2d.hxx>
+
+#include <Geom2dGcc_CurveTool.hxx>
+#include <Geom2dGcc_FunctionTanObl.hxx>
+
+Geom2dGcc_Lin2dTanOblIter::
+Geom2dGcc_Lin2dTanOblIter (const Geom2dGcc_QCurve& Qualified1 ,
+ const gp_Lin2d& TheLin ,
+ const Standard_Real Param1 ,
+ const Standard_Real TolAng ,
+ const Standard_Real Angle )
+{
+
+ par1sol = 0.;
+ pararg1 = 0.;
+ WellDone = Standard_False;
+ if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() ||
+ Qualified1.IsOutside() || Qualified1.IsUnqualified())) {
+ GccEnt_BadQualifier::Raise();
+ return;
+ }
+ Paral2 = Standard_False;
+ Geom2dAdaptor_Curve Cu1 = Qualified1.Qualified();
+ Standard_Real U1 = Geom2dGcc_CurveTool::FirstParameter(Cu1);
+ Standard_Real U2 = Geom2dGcc_CurveTool::LastParameter(Cu1);
+ gp_Dir2d Dir(TheLin.Direction());
+ Standard_Real A = Dir.X();
+ Standard_Real B = Dir.Y();
+ gp_Dir2d TheDirection(Dir);
+ if (Abs(Angle) > Abs(TolAng)) {
+ if (Abs(Abs(Angle)-M_PI) <= Abs(TolAng)) {
+ Paral2 = Standard_True;
+ TheDirection = Dir.Reversed();
+ }
+ else if (Abs(Angle-M_PI/2) <= Abs(TolAng)) { TheDirection=gp_Dir2d(-B,A); }
+ else if (Abs(Angle+M_PI/2) <= Abs(TolAng)) { TheDirection=gp_Dir2d(B,-A); }
+ else {
+ TheDirection=gp_Dir2d(A*Cos(Angle)-B*Sin(Angle),
+ A*Sin(Angle)+B*Cos(Angle));
+ }
+ }
+ else { Paral2 = Standard_True; }
+ Geom2dGcc_FunctionTanObl func(Cu1,TheDirection);
+ math_FunctionRoot sol(func,Param1,
+ Geom2dGcc_CurveTool::EpsX(Cu1,Abs(TolAng)),U1,U2,100);
+ if (sol.IsDone()) {
+ Standard_Real Usol = sol.Root();
+ gp_Pnt2d Origine;
+ gp_Vec2d Vect1,Vect2;
+ Geom2dGcc_CurveTool::D2(Cu1,Usol,Origine,Vect1,Vect2);
+ Standard_Real sign1 = Vect1.XY().Dot(TheDirection.XY());
+ Standard_Real sign2 = Vect2.XY().Crossed(TheDirection.XY());
+ if (Qualified1.IsUnqualified() ||
+ (Qualified1.IsEnclosing() && sign2<=0.) ||
+ (Qualified1.IsOutside() && sign1 <= 0. && sign2 >= 0.) ||
+ (Qualified1.IsEnclosed() && sign1 >= 0. && sign2 >= 0.)) {
+ WellDone = Standard_True;
+ linsol = gp_Lin2d(Origine,TheDirection);
+ pnttg1sol = Origine;
+ qualifier1 = Qualified1.Qualifier();
+ pararg1 = Usol;
+ par1sol = 0.;
+ if (!Paral2) {
+ IntAna2d_AnaIntersection Intp(linsol,TheLin);
+ if (Intp.IsDone() && !Intp.IsEmpty()) {
+ if (Intp.NbPoints()==1) {
+ pntint2sol = Intp.Point(1).Value();
+ par2sol = gp_Vec2d(linsol.Direction()).
+ Dot(gp_Vec2d(linsol.Location(),pntint2sol));
+ pararg2 = gp_Vec2d(TheLin.Direction()).
+ Dot(gp_Vec2d(TheLin.Location(),pntint2sol));
+ }
+ }
+ }
+ }
+ }
+}
+
+Standard_Boolean Geom2dGcc_Lin2dTanOblIter::
+IsDone () const { return WellDone; }
+
+gp_Lin2d Geom2dGcc_Lin2dTanOblIter::ThisSolution () const
+{
+ if (!WellDone) StdFail_NotDone::Raise();
+
+ return linsol;
+}
+
+void Geom2dGcc_Lin2dTanOblIter::
+WhichQualifier (GccEnt_Position& Qualif1) const
+{
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ Qualif1 = qualifier1;
+ }
+}
+
+Standard_Boolean Geom2dGcc_Lin2dTanOblIter::
+IsParallel2 () const { return Paral2; }
+
+void Geom2dGcc_Lin2dTanOblIter::
+Tangency1 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol) const {
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else {
+ ParSol = par1sol;
+ ParArg = pararg1;
+ PntSol = gp_Pnt2d(pnttg1sol);
+ }
+}
+
+void Geom2dGcc_Lin2dTanOblIter::
+Intersection2 (Standard_Real& ParSol ,
+ Standard_Real& ParArg ,
+ gp_Pnt2d& PntSol ) const {
+ if (!WellDone) { StdFail_NotDone::Raise(); }
+ else if (Paral2) { Geom2dGcc_IsParallel::Raise(); }
+ else {
+ PntSol = pntint2sol;
+ ParSol = par2sol;
+ ParArg = pararg2;
+ }
+}
+
#include <Geom2d_Circle.hxx>
#include <Geom2dGcc_QCurve.hxx>
#include <GccEnt_QualifiedCirc.hxx>
-#include <Geom2dGcc_MyL2d2Tan.hxx>
+#include <Geom2dGcc_Lin2d2TanIter.hxx>
#include <BRepBuilderAPI_MakeWire.hxx>
#include <TopExp_Explorer.hxx>
#include <TopoDS.hxx>
Geom2dAdaptor_Curve acur(aCur2d2);
Geom2dGcc_QCurve qcur(acur, GccEnt_unqualified);
GccEnt_QualifiedCirc qfromcur(aCir2d->Circ2d(), GccEnt_unqualified);
- Geom2dGcc_MyL2d2Tan lintan(qfromcur, qcur , par1, tol);
+ Geom2dGcc_Lin2d2TanIter lintan(qfromcur, qcur , par1, tol);
if (lintan.IsDone()) {
gp_Lin2d lin = lintan.ThisSolution();
Handle(Geom2d_Line) glin = new Geom2d_Line(lin);
Geom2dAdaptor_Curve acur2(aCur2d2);
Geom2dGcc_QCurve qcur1(acur1, GccEnt_unqualified);
Geom2dGcc_QCurve qcur2(acur2, GccEnt_unqualified);
- Geom2dGcc_MyL2d2Tan lintan(qcur1, qcur2 , par1, par2, tol);
+ Geom2dGcc_Lin2d2TanIter lintan(qcur1, qcur2 , par1, par2, tol);
if (lintan.IsDone()) {
gp_Lin2d lin = lintan.ThisSolution();
Handle(Geom2d_Line) glin = new Geom2d_Line(lin);
GccAna
GccEnt
GccInt
-GccIter
HatchGen
Geom2dHatch
Law
projects / occt-copy.git / commitdiff