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// File: GccIter_Lin2d2Tan.gxx
// Created: Fri Dec 20 15:00:23 1991
// Author: Remi GILET
// <reg@topsn3>
//========================================================================
// 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.;
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;
}
}
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