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1 | // File: GccIter_FunctionTanCuPnt.gxx |
| 2 | // Created: Mon Jan 20 16:35:40 1992 |
| 3 | // Author: Remi GILET |
| 4 | // <reg@phobox> |
| 5 | |
| 6 | #include <gp_Vec2d.hxx> |
| 7 | #include <gp_Pnt2d.hxx> |
| 8 | #include <gp_Vec.hxx> |
| 9 | #include <gp_Pnt.hxx> |
| 10 | |
| 11 | //========================================================================= |
| 12 | // soit P1 le point sur la courbe TheCurve d abscisse u. + |
| 13 | // soit C le point ThePoint. + |
| 14 | // Nous cherchons donc les zeros de la fonction suivante: + |
| 15 | // + |
| 16 | // --> --> + |
| 17 | // CP1 /\ T + |
| 18 | // --------------- = F(u) + |
| 19 | // ||CP1|| * ||T|| + |
| 20 | // + |
| 21 | // La derivee de cette fonction est : + |
| 22 | // CP1 /\ N (T.N)*((CP1/\T).((CP1/\T)) + |
| 23 | // f(u) = -------- - -------------------------------- + |
| 24 | // N.N N*N*N*CP1*CP1*CP1 + |
| 25 | //========================================================================= |
| 26 | |
| 27 | GccIter_FunctionTanCuPnt:: |
| 28 | GccIter_FunctionTanCuPnt(const TheCurve& C , |
| 29 | const gp_Pnt2d& Point ) { |
| 30 | TheCurv = C; |
| 31 | ThePoint = Point; |
| 32 | } |
| 33 | |
| 34 | |
| 35 | Standard_Boolean GccIter_FunctionTanCuPnt:: |
| 36 | Value (const Standard_Real X , |
| 37 | Standard_Real& Fval ) { |
| 38 | gp_Pnt2d Point; |
| 39 | gp_Vec2d Vect; |
| 40 | TheCurveTool::D1(TheCurv,X,Point,Vect); |
| 41 | Standard_Real NormeD1 = Vect.Magnitude(); |
| 42 | gp_Vec2d TheDirection(ThePoint,Point); |
| 43 | Standard_Real NormeDir = TheDirection.Magnitude(); |
| 44 | Fval = TheDirection.Crossed(Vect)/(NormeD1*NormeDir); |
| 45 | return Standard_True; |
| 46 | } |
| 47 | |
| 48 | Standard_Boolean GccIter_FunctionTanCuPnt:: |
| 49 | Derivative (const Standard_Real X , |
| 50 | Standard_Real& Deriv ) { |
| 51 | gp_Pnt2d Point; |
| 52 | gp_Vec2d Vec1; |
| 53 | gp_Vec2d Vec2; |
| 54 | TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2); |
| 55 | gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY())); |
| 56 | Standard_Real NormeD1 = Vec1.Magnitude(); |
| 57 | Standard_Real NormeDir = TheDirection.Magnitude(); |
| 58 | Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)- |
| 59 | (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))* |
| 60 | (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+ |
| 61 | Vec1.Dot(TheDirection)/(NormeDir*NormeDir)); |
| 62 | return Standard_True; |
| 63 | } |
| 64 | |
| 65 | Standard_Boolean GccIter_FunctionTanCuPnt:: |
| 66 | Values (const Standard_Real X , |
| 67 | Standard_Real& Fval , |
| 68 | Standard_Real& Deriv ) { |
| 69 | gp_Pnt2d Point; |
| 70 | gp_Vec2d Vec1; |
| 71 | gp_Vec2d Vec2; |
| 72 | TheCurveTool::D2(TheCurv,X,Point,Vec1,Vec2); |
| 73 | gp_Vec2d TheDirection(ThePoint.XY(),gp_XY(Point.XY())); |
| 74 | Standard_Real NormeD1 = Vec1.Magnitude(); |
| 75 | Standard_Real NormeDir = TheDirection.Magnitude(); |
| 76 | Fval = TheDirection.Crossed(Vec1)/(NormeD1*NormeDir); |
| 77 | Deriv = TheDirection.Crossed(Vec2)/(NormeD1*NormeDir)- |
| 78 | (TheDirection.Crossed(Vec1)/(NormeD1*NormeDir))* |
| 79 | (Vec1.Dot(Vec2)/(NormeD1*NormeD1)+ |
| 80 | Vec1.Dot(TheDirection)/(NormeDir*NormeDir)); |
| 81 | |
| 82 | // cout << "U = "<< X << " F ="<< Fval <<" DF ="<< Deriv<<endl; |
| 83 | |
| 84 | return Standard_True; |
| 85 | } |
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