1
0
mirror of https://git.dev.opencascade.org/repos/occt.git synced 2025-04-09 18:50:54 +03:00
occt/src/IntCurve/IntCurve_IntConicConic_1.cxx
aba 80cead4136 0023288: IntCurve_IntConicConic_1.cxx: if(A) {...} else if (A){...} pattern detected.
Unrealizable condition ( second condition block 'else if(d0102>AbsR1mR2-Tol)' ) was deleted.
2012-11-02 14:13:39 +04:00

2112 lines
70 KiB
C++
Executable File

// Created on: 1992-05-06
// Created by: Laurent BUCHARD
// Copyright (c) 1992-1999 Matra Datavision
// Copyright (c) 1999-2012 OPEN CASCADE SAS
//
// The content of this file is subject to the Open CASCADE Technology Public
// License Version 6.5 (the "License"). You may not use the content of this file
// except in compliance with the License. Please obtain a copy of the License
// at http://www.opencascade.org and read it completely before using this file.
//
// The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
// main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
//
// The Original Code and all software distributed under the License is
// distributed on an "AS IS" basis, without warranty of any kind, and the
// Initial Developer hereby disclaims all such warranties, including without
// limitation, any warranties of merchantability, fitness for a particular
// purpose or non-infringement. Please see the License for the specific terms
// and conditions governing the rights and limitations under the License.
// a modifier le cas de 2 points confondus ( Insert a la place d'append ? )
#include <IntCurve_IntConicConic.jxx>
#include <IntCurve_IConicTool.hxx>
#include <IntCurve_PConic.hxx>
#include <IntRes2d_Domain.hxx>
#include <gp.hxx>
#include <IntCurve_IntConicConic_Tool.hxx>
#include <IntImpParGen.hxx>
#include <IntCurve_IntConicConic_1.hxx>
#include <ElCLib.hxx>
#include <Standard_ConstructionError.hxx>
#include <IntRes2d_IntersectionPoint.hxx>
#include <IntRes2d_IntersectionSegment.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Vec2d.hxx>
#include <Precision.hxx>
#include <IntRes2d_TypeTrans.hxx>
Standard_Boolean Affichage=Standard_False;
Standard_Boolean AffichageGraph=Standard_True;
//modified by NIZHNY-MKK Tue Feb 15 10:53:34 2000.BEGIN
// #define TOLERANCE_ANGULAIRE 0.00000001
#define TOLERANCE_ANGULAIRE 1.e-15 //the reason is at least to make an accordance between transition and position computation.
//modified by NIZHNY-MKK Tue Feb 15 10:53:45 2000.END
const Standard_Real PIsur2 = 0.5*M_PI;
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
IntRes2d_Position FindPositionLL(Standard_Real&,const IntRes2d_Domain&);
const IntRes2d_IntersectionPoint SegmentToPoint( const IntRes2d_IntersectionPoint& Pa
,const IntRes2d_Transition& T1a
,const IntRes2d_Transition& T2a
,const IntRes2d_IntersectionPoint& Pb
,const IntRes2d_Transition& T1b
,const IntRes2d_Transition& T2b);
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void ProjectOnC2AndIntersectWithC2Domain(const gp_Circ2d& Circle1
,const gp_Circ2d& Circle2
,PeriodicInterval& C1DomainAndRes
,PeriodicInterval& DomainC2
,PeriodicInterval* SolutionC1
,PeriodicInterval* SolutionC2
,Standard_Integer &NbSolTotal
,const Standard_Boolean IdentCircles)
{
if(C1DomainAndRes.IsNull()) return;
//-------------------------------------------------------------------------
//-- On cherche l intervalle correspondant sur C2
//-- Puis on intersecte l intervalle avec le domaine de C2
//-- Enfin, on cherche l intervalle correspondant sur C1
//--
Standard_Real C2inf =
ElCLib::CircleParameter(Circle2.Axis()
,ElCLib::CircleValue(C1DomainAndRes.Binf
,Circle1.Axis(),Circle1.Radius()));
Standard_Real C2sup =
ElCLib::CircleParameter(Circle2.Axis()
,ElCLib::CircleValue(C1DomainAndRes.Bsup
,Circle1.Axis(),Circle1.Radius()));
PeriodicInterval C2Inter(C2inf,C2sup);
if(!IdentCircles) {
if(C2Inter.Length() > M_PI)
C2Inter.Complement();
}
else {
if(C2sup<=C2inf) C2sup+=PIpPI;
if(C2inf>=PIpPI) {
C2sup-=PIpPI;
C2inf-=PIpPI;
}
C2Inter.Binf=C2inf;
C2Inter.Bsup=C2sup; //--- Verifier la longueur de l'intervalle sur C2
C2Inter.Bsup=C2inf+C1DomainAndRes.Bsup-C1DomainAndRes.Binf;
}
PeriodicInterval C2InterAndDomain[2];
for(Standard_Integer i=0; i<2 ; i++) {
C2InterAndDomain[i]=(i==0)? DomainC2.FirstIntersection(C2Inter)
: DomainC2.SecondIntersection(C2Inter);
if(!C2InterAndDomain[i].IsNull()) {
Standard_Real C1inf =
ElCLib::CircleParameter(Circle1.Axis()
,ElCLib::CircleValue(C2InterAndDomain[i].Binf
,Circle2.Axis(),Circle2.Radius()));
Standard_Real C1sup =
ElCLib::CircleParameter(Circle1.Axis()
,ElCLib::CircleValue(C2InterAndDomain[i].Bsup
,Circle2.Axis(),Circle2.Radius()));
SolutionC1[NbSolTotal]=PeriodicInterval(C1inf,C1sup);
if(!IdentCircles) {
if(SolutionC1[NbSolTotal].Length() > M_PI)
SolutionC1[NbSolTotal].Complement();
}
else {
if(SolutionC1[NbSolTotal].Bsup <= SolutionC1[NbSolTotal].Binf) {
SolutionC1[NbSolTotal].Bsup+=PIpPI;
}
if(SolutionC1[NbSolTotal].Binf>=PIpPI) {
SolutionC1[NbSolTotal].Binf-=PIpPI;
SolutionC1[NbSolTotal].Bsup-=PIpPI;
}
}
SolutionC2[NbSolTotal]=C2InterAndDomain[i];
NbSolTotal++;
}
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void CircleCircleGeometricIntersection(const gp_Circ2d& C1
,const gp_Circ2d& C2
,const Standard_Real Tol
,const Standard_Real TolTang
,PeriodicInterval& C1_Res1
,PeriodicInterval& C1_Res2
,Standard_Integer& nbsol) {
Standard_Real C1_binf1,C1_binf2=0,C1_bsup1,C1_bsup2=0;
Standard_Real dO1O2=(C1.Location()).Distance(C2.Location());
Standard_Real R1=C1.Radius();
Standard_Real R2=C2.Radius();
Standard_Real AbsR1mR2=Abs(R1-R2);
//----------------------------------------------------------------
if(dO1O2 > (R1+R2+Tol)) {
if(dO1O2 > (R1+R2+TolTang)) {
nbsol=0;
return;
}
else {
C1_binf1 = 0.0;
C1_bsup1 = 0.0;
nbsol = 1;
}
}
//----------------------------------------------------------------
else if(dO1O2 <= Tol && AbsR1mR2<=Tol) {
nbsol=3;
return;
}
else {
//----------------------------------------------------------------
Standard_Real R1pR2=R1+R2;
Standard_Real R1pTol=R1+Tol;
Standard_Real R1mTol=R1-Tol;
// Standard_Real R1R1=R1*R1;
Standard_Real R2R2=R2*R2;
Standard_Real R1pTolR1pTol=R1pTol*R1pTol;
Standard_Real R1mTolR1mTol=R1mTol*R1mTol;
Standard_Real dO1O2dO1O2=dO1O2*dO1O2;
Standard_Real dAlpha1;
//--------------------------------------------------------------- Cas
//-- C2 coupe le cercle C1+ (=C(x1,y1,R1+Tol))
//-- 1 seul segment donne par Inter C2 C1+
//--
if(dO1O2 > R1pR2-Tol) {
Standard_Real dx=(R1pTolR1pTol+dO1O2dO1O2-R2R2)/(dO1O2+dO1O2);
Standard_Real dy=(R1pTolR1pTol-dx*dx);
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
C1_binf1=-dAlpha1;
C1_bsup1=dAlpha1;
nbsol=1;
}
//--------------------------------------------------------------------
//-- 2 segments donnes par Inter C2 avec C1- C1 C1+
//-- Seul le signe de dx change si dO1O2 < Max(R1,R2)
//--
else if(dO1O2 > AbsR1mR2-Tol) { // -- +
//------------------- Intersection C2 C1+ --------------------------
Standard_Real dx=(R1pTolR1pTol+dO1O2dO1O2-R2R2)/(dO1O2+dO1O2);
Standard_Real dy=(R1pTolR1pTol-dx*dx);
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
C1_binf1=-dAlpha1; C1_bsup2=dAlpha1; //-- |...? ?...| Sur C1
//------------------ Intersection C2 C1- -------------------------
dx=(R1mTolR1mTol+dO1O2dO1O2-R2R2)/(dO1O2+dO1O2);
dy=(R1mTolR1mTol-dx*dx);
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
C1_binf2=dAlpha1; C1_bsup1=-dAlpha1; //-- |...x x...| Sur C1
nbsol=2;
//------------------------------
//-- Les 2 intervalles sont ils
//-- en fait un seul inter ?
//--
if(dy==0) { //-- Les 2 bornes internes sont identiques
C1_bsup1 = C1_bsup2;
nbsol = 1;
}
else {
if(C1_binf1>C1_bsup1) {
dAlpha1 = C1_binf1; C1_binf1 = C1_bsup1; C1_bsup1 = dAlpha1;
}
if(C1_binf2>C1_bsup2) {
dAlpha1 = C1_binf2; C1_binf2 = C1_bsup2; C1_bsup2 = dAlpha1;
}
if( ((C1_binf1<=C1_bsup2) && (C1_binf1>=C1_binf2))
|| ((C1_bsup1<=C1_bsup2) && (C1_bsup1>=C1_binf2))) {
if(C1_binf1 > C1_binf2) C1_binf1 = C1_binf2;
if(C1_binf1 > C1_bsup2) C1_binf1 = C1_bsup2;
if(C1_bsup1 < C1_binf2) C1_bsup1 = C1_binf2;
if(C1_bsup1 < C1_bsup2) C1_bsup1 = C1_bsup2;
nbsol=1;
}
}
}
//--------------------------------------------------------------
else {
if((dO1O2 > AbsR1mR2-TolTang) && (AbsR1mR2-TolTang)>0.0) {
C1_binf1=0.0;
C1_bsup1=0.0;
nbsol = 1;
}
else {
nbsol=0; return ;
}
}
}
//-- cout<<" C1_binf1:"<<C1_binf1;
//-- cout<<" C1_bsup1:"<<C1_bsup1;
//-- cout<<" C1_binf2:"<<C1_binf2;
//-- cout<<" C1_bsup2:"<<C1_bsup2<<endl;
//----------------------------------------------------------------
//-- Mise en forme des resultats :
//-- Les calculs ont ete fait dans le repere x1,y1, (O1,O2)
//-- On se ramene au repere propre a C1
gp_Vec2d Axe1=C1.XAxis().Direction();
gp_Vec2d AxeO1O2=gp_Vec2d(C1.Location(),C2.Location());
Standard_Real dAngle1;
if(AxeO1O2.Magnitude() <= gp::Resolution())
dAngle1=Axe1.Angle(C2.XAxis().Direction());
else
dAngle1=Axe1.Angle(AxeO1O2);
if(C1.IsDirect() == Standard_False) {
dAngle1 = -dAngle1;
}
C1_binf1+=dAngle1; C1_bsup1+=dAngle1;
//-- par construction aucun des segments ne peut exceder PI
//-- (permet de ne pas gerer trop de cas differents)
C1_Res1.SetValues(C1_binf1,C1_bsup1);
if(C1_Res1.Length() > M_PI) C1_Res1.Complement();
if(nbsol==2) {
C1_binf2+=dAngle1; C1_bsup2+=dAngle1;
C1_Res2.SetValues(C1_binf2,C1_bsup2);
if(C1_Res2.Length() > M_PI) C1_Res2.Complement();
}
else {
C1_Res2.SetNull();
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void ProjectOnLAndIntersectWithLDomain(const gp_Circ2d& Circle
,const gp_Lin2d& Line
,PeriodicInterval& CDomainAndRes
,Interval& LDomain
,PeriodicInterval* CircleSolution
,Interval* LineSolution
,Standard_Integer &NbSolTotal
,const IntRes2d_Domain& RefLineDomain
// ,const IntRes2d_Domain& )
,const IntRes2d_Domain& )
{
if(CDomainAndRes.IsNull()) return;
//-------------------------------------------------------------------------
//-- On cherche l intervalle correspondant sur C2
//-- Puis on intersecte l intervalle avec le domaine de C2
//-- Enfin, on cherche l intervalle correspondant sur C1
//--
Standard_Real Linf=ElCLib::Parameter(Line
,ElCLib::CircleValue(CDomainAndRes.Binf
,Circle.Axis()
,Circle.Radius()));
Standard_Real Lsup=ElCLib::Parameter(Line
,ElCLib::CircleValue(CDomainAndRes.Bsup
,Circle.Axis()
,Circle.Radius()));
Interval LInter(Linf,Lsup); //-- Necessairement Borne
Interval LInterAndDomain=LDomain.IntersectionWithBounded(LInter);
if(!LInterAndDomain.IsNull) {
Standard_Real DomLinf = (RefLineDomain.HasFirstPoint())? RefLineDomain.FirstParameter() : -Precision::Infinite();
Standard_Real DomLsup = (RefLineDomain.HasLastPoint())? RefLineDomain.LastParameter() : Precision::Infinite();
Linf = LInterAndDomain.Binf;
Lsup = LInterAndDomain.Bsup;
if(Linf<DomLinf) {
Linf = DomLinf;
}
if(Lsup<DomLinf) {
Lsup = DomLinf;
}
if(Linf>DomLsup) {
Linf = DomLsup;
}
if(Lsup>DomLsup) {
Lsup = DomLsup;
}
LInterAndDomain.Binf = Linf;
LInterAndDomain.Bsup = Lsup;
#if 0
Standard_Real Cinf =
ElCLib::CircleParameter(Circle.Axis()
,ElCLib::LineValue(LInterAndDomain.Binf,
Line.Position()));
Standard_Real Csup =
ElCLib::CircleParameter(Circle.Axis()
,ElCLib::LineValue(LInterAndDomain.Bsup
,Line.Position()));
if(Cinf<CDomainAndRes.Binf) Cinf = CDomainAndRes.Binf;
if(Csup>CDomainAndRes.Bsup) Csup = CDomainAndRes.Bsup;
#else
Standard_Real Cinf=CDomainAndRes.Binf;
Standard_Real Csup=CDomainAndRes.Bsup;
#endif
if(Cinf>=Csup) { Cinf = CDomainAndRes.Binf; Csup = CDomainAndRes.Bsup; }
CircleSolution[NbSolTotal]=PeriodicInterval(Cinf,Csup);
if(CircleSolution[NbSolTotal].Length() > M_PI)
CircleSolution[NbSolTotal].Complement();
LineSolution[NbSolTotal]=LInterAndDomain;
NbSolTotal++;
}
}
//=======================================================================
//function : LineCircleGeometricIntersection
//purpose :
//~~ On cherche des segments d intersection dans le `tuyau`
//~~ R+Tol R-Tol ( Tol est TolConf : Tolerance de confusion d arc)
//~~ On Cherche un point d intersection a une distance TolTang du cercle.
//=======================================================================
void LineCircleGeometricIntersection(const gp_Lin2d& Line,
const gp_Circ2d& Circle,
const Standard_Real Tol,
const Standard_Real TolTang,
PeriodicInterval& CInt1,
PeriodicInterval& CInt2,
Standard_Integer& nbsol)
{
Standard_Real dO1O2=Line.Distance(Circle.Location());
Standard_Real R=Circle.Radius();
Standard_Real RmTol=R-Tol;
Standard_Real binf1,binf2=0,bsup1,bsup2=0;
//----------------------------------------------------------------
if(dO1O2 > (R+Tol)) { //-- pas d intersection avec le 'tuyau'
if(dO1O2 > (R+TolTang)) {
nbsol=0;
return;
}
else {
binf1=0.0;
bsup1=0.0;
nbsol=1;
}
}
else {
//----------------------------------------------------------------
Standard_Boolean b2Sol;
Standard_Real dAlpha1;
//---------------------------------------------------------------
//-- Line coupe le cercle Circle+ (=C(x1,y1,R1+Tol))
b2Sol=Standard_False;
if (R>dO1O2+TolTang) {
Standard_Real aX2, aTol2;
//
aTol2=Tol*Tol;
aX2=4.*(R*R-dO1O2*dO1O2);
if (aX2>aTol2) {
b2Sol=!b2Sol;
}
}
if(dO1O2 > RmTol && !b2Sol) {
//if(dO1O2 > RmTol) {
Standard_Real dx=dO1O2;
Standard_Real dy=0.0; //(RpTol*RpTol-dx*dx); //Patch !!!
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
binf1=-dAlpha1;
bsup1=dAlpha1;
nbsol=1;
}
//--------------------------------------------------------------------
//-- 2 segments donnes par Inter Line avec Circle- Circle+
//--
else {
//------------------- Intersection Line Circle+ --------------------------
Standard_Real dx=dO1O2;
Standard_Real dy=R*R-dx*dx; //(RpTol*RpTol-dx*dx); //Patch !!!
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
binf1=-dAlpha1; bsup2=dAlpha1; //-- |...? ?...| Sur C1
//------------------ Intersection Line Circle- -------------------------
dy=R*R-dx*dx; //(RmTol*RmTol-dx*dx); //Patch !!!
dy=(dy>=0.0)? Sqrt(dy) : 0.0;
dAlpha1=ATan2(dy,dx);
binf2=dAlpha1; bsup1=-dAlpha1; //-- |...x x...| Sur C1
if((dAlpha1*R)<(Max(Tol,TolTang))) {
bsup1 = bsup2;
nbsol = 1;
}
else {
nbsol=2;
}
}
}
//--------------------------------------------------------------
//-- Mise en forme des resultats :
//-- Les calculs ont ete fait dans le repere x1,y1, (O1,O2)
//-- On se ramene au repere propre a C1
Standard_Real dAngle1=(Circle.XAxis().Direction()).Angle(Line.Direction());
#if 0
//---------------------------------------------
//-- Si le cercle est indirect alors l origine
//-- est vue en -dAngle1.
//--
if(Circle.IsDirect() == Standard_False) {
dAngle1 = -dAngle1;
}
#endif
Standard_Real a,b,c,d;
Line.Coefficients(a,b,c);
d = a*Circle.Location().X() + b*Circle.Location().Y() + c;
if(d>0.0) dAngle1+= PIsur2;
else dAngle1-= PIsur2;
if(dAngle1<0.0) dAngle1+=PIpPI;
else if(dAngle1>PIpPI) dAngle1-=PIpPI;
binf1+=dAngle1; bsup1+=dAngle1;
//-- par construction aucun des segments ne peut exceder PI
//-- (permet de ne pas gerer trop de cas differents)
if(Circle.IsDirect() == Standard_False) {
Standard_Real t=binf1; binf1=bsup1; bsup1=t;
binf1 = -binf1;
bsup1 = -bsup1;
}
CInt1.SetValues(binf1,bsup1);
if(CInt1.Length() > M_PI) CInt1.Complement();
if(nbsol==2) {
binf2+=dAngle1; bsup2+=dAngle1;
if(Circle.IsDirect() == Standard_False) {
Standard_Real t=binf2; binf2=bsup2; bsup2=t;
binf2 = -binf2;
bsup2 = -bsup2;
}
CInt2.SetValues(binf2,bsup2);
if(CInt2.Length() > M_PI) CInt2.Complement();
}
// Modified by Sergey KHROMOV - Thu Oct 26 17:51:05 2000 Begin
else {
if (CInt1.Bsup > PIpPI && CInt1.Binf < PIpPI) {
nbsol = 2;
binf2 = CInt1.Binf;
bsup2 = PIpPI;
binf1 = 0.;
CInt1.SetValues(binf1,CInt1.Bsup - PIpPI);
if(CInt1.Length() > M_PI) CInt1.Complement();
CInt2.SetValues(binf2,bsup2);
if(CInt2.Length() > M_PI) CInt2.Complement();
}
}
// Modified by Sergey KHROMOV - Thu Oct 26 17:51:13 2000 End
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void DomainIntersection(const IntRes2d_Domain& Domain
,const Standard_Real U1inf
,const Standard_Real U1sup
,Standard_Real& Res1inf
,Standard_Real& Res1sup
,IntRes2d_Position& PosInf
,IntRes2d_Position& PosSup) {
if(Domain.HasFirstPoint()) {
if(U1sup < (Domain.FirstParameter()-Domain.FirstTolerance())) {
Res1inf=1; Res1sup=-1;
return;
}
if(U1inf>(Domain.FirstParameter()+Domain.FirstTolerance())) {
Res1inf=U1inf;
PosInf=IntRes2d_Middle;
}
else {
Res1inf=Domain.FirstParameter();
PosInf=IntRes2d_Head;
}
}
else {
Res1inf=U1inf;
PosInf=IntRes2d_Middle;
}
if(Domain.HasLastPoint()) {
if(U1inf >(Domain.LastParameter()+Domain.LastTolerance())) {
Res1inf=1; Res1sup=-1;
return;
}
if(U1sup<(Domain.LastParameter()-Domain.LastTolerance())) {
Res1sup=U1sup;
PosSup=IntRes2d_Middle;
}
else {
Res1sup=Domain.LastParameter();
PosSup=IntRes2d_End;
}
}
else {
Res1sup=U1sup;
PosSup=IntRes2d_Middle;
}
//-- Si un des points est en bout ,
//-- on s assure que les parametres sont corrects
if(Res1inf>Res1sup) {
if(PosSup==IntRes2d_Middle) {
Res1sup=Res1inf;
}
else {
Res1inf=Res1sup;
}
}
//--- Traitement des cas ou une intersection vraie est dans la tolerance
//-- d un des bouts
/*if(PosInf==IntRes2d_Head) {
if(Res1sup <= (Res1inf+Domain.FirstTolerance())) {
Res1sup=Res1inf;
PosSup=IntRes2d_Head;
}
}
if(PosSup==IntRes2d_End) {
if(Res1inf >= (Res1sup-Domain.LastTolerance())) {
Res1inf=Res1sup;
PosInf=IntRes2d_End;
}
}*/
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void LineLineGeometricIntersection(const gp_Lin2d& L1
,const gp_Lin2d& L2
,const Standard_Real Tol
,Standard_Real& U1
,Standard_Real& U2
,Standard_Real& SinDemiAngle
,Standard_Integer& nbsol) {
Standard_Real U1x=L1.Direction().X();
Standard_Real U1y=L1.Direction().Y();
Standard_Real U2x=L2.Direction().X();
Standard_Real U2y=L2.Direction().Y();
Standard_Real Uo21x = L2.Location().X() - L1.Location().X();
Standard_Real Uo21y = L2.Location().Y() - L1.Location().Y();
Standard_Real D=U1y*U2x-U1x*U2y;
//modified by NIZHNY-MKK Tue Feb 15 10:54:04 2000.BEGIN
// if(Abs(D)<1e-15) { //-- Droites //
if(Abs(D) < TOLERANCE_ANGULAIRE) {
//modified by NIZHNY-MKK Tue Feb 15 10:54:11 2000.END
D=U1y*Uo21x - U1x*Uo21y;
nbsol=(Abs(D)<=Tol)? 2 : 0;
}
else {
U1=(Uo21y * U2x - Uo21x * U2y)/D;
U2=(Uo21y * U1x - Uo21x * U1y)/D;
//------------------- Calcul du Sin du demi angle entre L1 et L2
//----
if(D<0.0) D=-D;
if(D>1.0) D=1.0; //-- Deja vu !
SinDemiAngle=Sin(0.5*ASin(D));
nbsol=1;
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/*IntCurve_IntConicConic::IntCurve_IntConicConic(const gp_Lin2d& L1
,const IntRes2d_Domain& D1
,const gp_Lin2d& L2
,const IntRes2d_Domain& D2
,const Standard_Real TolConf
,const Standard_Real Tol) {
Perform(L1,D1,L2,D2,TolConf,Tol);
}
IntCurve_IntConicConic::IntCurve_IntConicConic(const gp_Lin2d& L1
,const IntRes2d_Domain& D1
,const gp_Circ2d& C2
,const IntRes2d_Domain& D2
,const Standard_Real TolConf
,const Standard_Real Tol) {
Perform(L1,D1,C2,D2,TolConf,Tol);
}
IntCurve_IntConicConic::IntCurve_IntConicConic(const gp_Circ2d& C1
,const IntRes2d_Domain& D1
,const gp_Circ2d& C2
,const IntRes2d_Domain& D2
,const Standard_Real TolConf
,const Standard_Real Tol) {
SetReversedParameters(Standard_False);
Perform(C1,D1,C2,D2,TolConf,Tol);
}*/ //amv OCC12547
//----------------------------------------------------------------------
void IntCurve_IntConicConic::Perform(const gp_Circ2d& Circle1
,const IntRes2d_Domain& DomainCirc1
,const gp_Circ2d& _Circle2
,const IntRes2d_Domain& _DomainCirc2
,const Standard_Real TolConf,const Standard_Real Tol) {
//-- TRES TRES MAL FAIT A REPRENDRE UN JOUR .... (lbr Octobre 98)
gp_Circ2d Circle2=_Circle2;
IntRes2d_Domain DomainCirc2=_DomainCirc2;
Standard_Boolean IndirectCircles=Standard_False;
if(Circle1.IsDirect() != _Circle2.IsDirect()) {
IndirectCircles=Standard_True;
Circle2=_Circle2.Reversed();
DomainCirc2.SetValues(_DomainCirc2.LastPoint(),
PIpPI-_DomainCirc2.LastParameter(),
_DomainCirc2.LastTolerance(),
_DomainCirc2.FirstPoint(),
PIpPI-_DomainCirc2.FirstParameter(),
_DomainCirc2.FirstTolerance());
DomainCirc2.SetEquivalentParameters(0.0,PIpPI);
}
this->ResetFields();
Standard_Integer nbsol=0;
PeriodicInterval C1_Int1,C1_Int2;
//------- Intersection sans tenir compte du domaine ----> nbsol=0,1,2,3
CircleCircleGeometricIntersection(Circle1,Circle2,TolConf,Tol,C1_Int1,C1_Int2,nbsol);
done=Standard_True;
if(nbsol==0) { //-- Pas de solutions
return;
}
PeriodicInterval C1Domain(DomainCirc1);
//-- On se ramene entre 0 et 2PI
Standard_Real deltat = C1Domain.Bsup-C1Domain.Binf;
if(deltat>=PIpPI) { deltat=PIpPI-1e-14; }
while(C1Domain.Binf >= PIpPI) C1Domain.Binf-=PIpPI;
while(C1Domain.Binf < 0.0) C1Domain.Binf+=PIpPI;
C1Domain.Bsup=C1Domain.Binf+deltat;
PeriodicInterval C2Domain(DomainCirc2);
deltat = C2Domain.Bsup-C2Domain.Binf;
if(deltat>=PIpPI) { deltat=PIpPI-1e-14; }
while(C2Domain.Binf >= PIpPI) C2Domain.Binf-=PIpPI;
while(C2Domain.Binf < 0.0) C2Domain.Binf+=PIpPI;
C2Domain.Bsup=C2Domain.Binf+deltat;
Standard_Boolean IdentCircles=Standard_False;
if(nbsol>2) {
//-- Les 2 cercles sont confondus a Tol pres
C1_Int1.SetValues(0,PIpPI);
C1_Int2.SetNull();
//---------------------------------------------------------------
//-- Flag utilise pour specifier que les intervalles manipules
//-- peuvent etre de longueur superieure a pi.
//-- Pour des cercles non identiques, on a necessairement cette
//-- condition sur les resultats de l intersection geometrique
//-- ce qui permet de normaliser rapidement les intervalles.
//-- ex: -1 4 -> longueur > PI
//-- donc -1 4 devient 4 , 2*pi-1
//---------------------------------------------------------------
IdentCircles=Standard_True;
}
Standard_Integer NbSolTotal=0;
PeriodicInterval SolutionC1[4];
PeriodicInterval SolutionC2[4];
//----------------------------------------------------------------------
//----------- Traitement du premier intervalle Geometrique C1_Int1 ----
//----------------------------------------------------------------------
//-- NbSolTotal est incremente a chaque Intervalle solution.
//-- On stocke les intervalles dans les tableaux : SolutionC1(C2)
//-- Dimensionnes a 4 elements.
//-- des Exemples faciles donnent 3 Intersections
//-- des Problemes numeriques peuvent en donner 4 ??????
//--
PeriodicInterval C1DomainAndRes=C1Domain.FirstIntersection(C1_Int1);
ProjectOnC2AndIntersectWithC2Domain(Circle1,Circle2
,C1DomainAndRes
,C2Domain
,SolutionC1,SolutionC2
,NbSolTotal
,IdentCircles);
//----------------------------------------------------------------------
//-- Seconde Intersection : Par exemple : 2*PI-1 2*PI+1
//-- Intersecte avec 0.5 2*PI-0.5
//-- Donne les intervalles : 0.5,1 et 2*PI-1,2*PI-0.5
//--
C1DomainAndRes=C1Domain.SecondIntersection(C1_Int1);
ProjectOnC2AndIntersectWithC2Domain(Circle1,Circle2
,C1DomainAndRes
,C2Domain
,SolutionC1,SolutionC2
,NbSolTotal
,IdentCircles);
//----------------------------------------------------------------------
//----------- Traitement du second intervalle Geometrique C1_Int2 ----
//----------------------------------------------------------------------
if(nbsol==2) {
C1DomainAndRes=C1Domain.FirstIntersection(C1_Int2);
ProjectOnC2AndIntersectWithC2Domain(Circle1,Circle2
,C1DomainAndRes
,C2Domain
,SolutionC1,SolutionC2
,NbSolTotal
,IdentCircles);
//--------------------------------------------------------------------
C1DomainAndRes=C1Domain.SecondIntersection(C1_Int2);
ProjectOnC2AndIntersectWithC2Domain(Circle1,Circle2
,C1DomainAndRes
,C2Domain
,SolutionC1,SolutionC2
,NbSolTotal
,IdentCircles);
}
//----------------------------------------------------------------------
//-- Calcul de toutes les transitions et Positions.
//--
//----------------------------------------------------------------------
//-- On determine si des intervalles sont reduit a des points
//-- ( Rayon * Intervalle.Length() < Tol )
//--
Standard_Real R1=Circle1.Radius();
Standard_Real R2=Circle2.Radius();
Standard_Real Tol2=Tol+Tol; //---- Pour eviter de toujours retourner
//des segments
Standard_Integer i ;
if(Tol < (1e-10)) Tol2 = 1e-10;
for( i=0; i<NbSolTotal ; i++) {
if(((R1 * SolutionC1[i].Length()))<=Tol2
&& ((R2 * SolutionC2[i].Length()))<=Tol2) {
Standard_Real t=(SolutionC1[i].Binf+SolutionC1[i].Bsup)*0.5;
SolutionC1[i].Binf=SolutionC1[i].Bsup=t;
t=(SolutionC2[i].Binf+SolutionC2[i].Bsup)*0.5;
SolutionC2[i].Binf=SolutionC2[i].Bsup=t;
}
}
//----------------------------------------------------------------------
//-- Traitement des intervalles (ou des points obtenus)
//--
gp_Ax22d Axis2C1=Circle1.Axis();
gp_Ax22d Axis2C2=Circle2.Axis();
gp_Pnt2d P1a,P1b,P2a,P2b;
gp_Vec2d Tan1,Tan2,Norm1,Norm2;
IntRes2d_Transition T1a,T1b,T2a,T2b;
IntRes2d_Position Pos1a,Pos1b,Pos2a,Pos2b;
Standard_Boolean Opposite=((Circle1.Location().SquareDistance(Circle2.Location()))
>(R1*R1+R2*R2))? Standard_True : Standard_False;
//if(Circle1.IsDirect()) { cout<<" C1 Direct"<<endl; } else { cout<<" C1 INDirect"<<endl; }
//if(Circle2.IsDirect()) { cout<<" C2 Direct"<<endl; } else { cout<<" C2 INDirect"<<endl; }
for(i=0; i<NbSolTotal; i++) {
Standard_Real C2inf=(Opposite)? SolutionC2[i].Bsup : SolutionC2[i].Binf;
Standard_Real C2sup=(Opposite)? SolutionC2[i].Binf : SolutionC2[i].Bsup;
Standard_Real C1inf=NormalizeOnCircleDomain(SolutionC1[i].Binf,DomainCirc1);
C2inf=NormalizeOnCircleDomain(C2inf,DomainCirc2);
if(IndirectCircles) {
ElCLib::CircleD2(C1inf,Axis2C1,R1,P1a,Tan1,Norm1);
ElCLib::CircleD2(C2inf,Axis2C2,R2,P2a,Tan2,Norm2);
Tan2.Reverse();
IntImpParGen::DeterminePosition(Pos1a,DomainCirc1,P1a,C1inf);
IntImpParGen::DeterminePosition(Pos2a,_DomainCirc2,P2a,PIpPI-C2inf);
Determine_Transition_LC(Pos1a,Tan1,Norm1,T1a , Pos2a,Tan2,Norm2,T2a, Tol);
IntRes2d_IntersectionPoint NewPoint1(P1a,C1inf,PIpPI-C2inf,T1a,T2a,Standard_False);
if((SolutionC1[i].Length()>0.0 ) || (SolutionC2[i].Length() >0.0)) {
//-- On traite un intervalle non reduit a un point
Standard_Real C1sup=NormalizeOnCircleDomain(SolutionC1[i].Bsup,DomainCirc1);
if(C1sup<C1inf) C1sup+=PIpPI;
C2sup=NormalizeOnCircleDomain(C2sup,DomainCirc2);
ElCLib::CircleD2(C1sup,Axis2C1,R1,P1b,Tan1,Norm1);
ElCLib::CircleD2(C2sup,Axis2C2,R2,P2b,Tan2,Norm2);
Tan2.Reverse();
IntImpParGen::DeterminePosition(Pos1b,DomainCirc1,P1b,C1sup);
IntImpParGen::DeterminePosition(Pos2b,_DomainCirc2,P2b,PIpPI-C2sup);
Determine_Transition_LC(Pos1b,Tan1,Norm1,T1b , Pos2b,Tan2,Norm2,T2b, Tol);
//--------------------------------------------------
if(Opposite) {
if(nbsol!=3) {
if(C2inf<C2sup) C2inf+=PIpPI;
}
}
else {
if(nbsol!=3) {
if(C2sup<C2inf) C2sup+=PIpPI;
}
}
IntRes2d_IntersectionPoint NewPoint2(P1b,C1sup,PIpPI-C2sup,T1b,T2b,Standard_False);
IntRes2d_IntersectionSegment NewSeg(NewPoint1,NewPoint2,
(Opposite==Standard_True)? Standard_False : Standard_True,
Standard_False);
Append(NewSeg);
}
else {
Append(NewPoint1);
}
}
else {
ElCLib::CircleD2(C1inf,Axis2C1,R1,P1a,Tan1,Norm1);
ElCLib::CircleD2(C2inf,Axis2C2,R2,P2a,Tan2,Norm2);
IntImpParGen::DeterminePosition(Pos1a,DomainCirc1,P1a,C1inf);
IntImpParGen::DeterminePosition(Pos2a,DomainCirc2,P2a,C2inf);
Determine_Transition_LC(Pos1a,Tan1,Norm1,T1a , Pos2a,Tan2,Norm2,T2a, Tol);
IntRes2d_IntersectionPoint NewPoint1(P1a,C1inf,C2inf,T1a,T2a,Standard_False);
if((SolutionC1[i].Length()>0.0 ) || (SolutionC2[i].Length() >0.0)) {
//-- On traite un intervalle non reduit a un point
Standard_Real C1sup=NormalizeOnCircleDomain(SolutionC1[i].Bsup,DomainCirc1);
if(C1sup<C1inf) C1sup+=PIpPI;
C2sup=NormalizeOnCircleDomain(C2sup,DomainCirc2);
ElCLib::CircleD2(C1sup,Axis2C1,R1,P1b,Tan1,Norm1);
ElCLib::CircleD2(C2sup,Axis2C2,R2,P2b,Tan2,Norm2);
IntImpParGen::DeterminePosition(Pos1b,DomainCirc1,P1b,C1sup);
IntImpParGen::DeterminePosition(Pos2b,DomainCirc2,P2b,C2sup);
Determine_Transition_LC(Pos1b,Tan1,Norm1,T1b , Pos2b,Tan2,Norm2,T2b, Tol);
//--------------------------------------------------
if(Opposite) {
if(nbsol!=3) {
if(C2inf<C2sup) C2inf+=PIpPI;
}
}
else {
if(nbsol!=3) {
if(C2sup<C2inf) C2sup+=PIpPI;
}
}
IntRes2d_IntersectionPoint NewPoint2(P1b,C1sup,C2sup,T1b,T2b,Standard_False);
IntRes2d_IntersectionSegment NewSeg(NewPoint1,NewPoint2,Opposite,Standard_False);
Append(NewSeg);
}
else {
Append(NewPoint1);
}
}
}
}
//----------------------------------------------------------------------
IntRes2d_Position FindPositionLL(Standard_Real &Param
,const IntRes2d_Domain& Domain)
{
Standard_Real aDPar = Precision::Infinite();
IntRes2d_Position aPos = IntRes2d_Middle;
Standard_Real aResPar = Param;
if(Domain.HasFirstPoint()) {
aDPar = Abs(Param-Domain.FirstParameter());
if( aDPar <= Domain.FirstTolerance()) {
aResPar=Domain.FirstParameter();
aPos = IntRes2d_Head;
}
}
if(Domain.HasLastPoint()) {
Standard_Real aD2 = Abs(Param-Domain.LastParameter());
if( aD2 <= Domain.LastTolerance() && (aPos == IntRes2d_Middle || aD2 < aDPar ))
{
aResPar=Domain.LastParameter();
aPos = IntRes2d_End;
}
}
Param = aResPar;
return aPos;
}
//--------------------------------------------------------------------
//gka 0022833
// Method to compute of point of intersection for case
//when specified domain less than specified tolerance for intersection
static inline void getDomainParametrs(const IntRes2d_Domain& theDomain,
Standard_Real& theFirst,
Standard_Real& theLast,
Standard_Real& theTol1,
Standard_Real& theTol2)
{
theFirst = (theDomain.HasFirstPoint() ? theDomain.FirstParameter() : -Precision::Infinite());
theLast = (theDomain.HasLastPoint() ? theDomain.LastParameter() : Precision::Infinite());
theTol1 = (theDomain.HasFirstPoint() ? theDomain.FirstTolerance() : 0.);
theTol2 = (theDomain.HasLastPoint() ? theDomain.LastTolerance() : 0.);
}
//=======================================================================
//function : computeIntPoint
//purpose :
//=======================================================================
static Standard_Boolean computeIntPoint(const IntRes2d_Domain& theCurDomain,
const IntRes2d_Domain& theDomainOther,
const gp_Lin2d& theCurLin,
const gp_Lin2d& theOtherLin,
Standard_Real theCosT1T2,
Standard_Real theParCur, Standard_Real theParOther,
Standard_Real& theResInf, Standard_Real& theResSup,
Standard_Integer theNum,
IntRes2d_TypeTrans theCurTrans,
IntRes2d_IntersectionPoint& theNewPoint)
{
if(fabs(theResSup-theParCur) > fabs(theResInf-theParCur))
theResSup = theResInf;
Standard_Real aRes2 = theParOther + (theResSup - theParCur) * theCosT1T2;
Standard_Real aFirst2, aLast2, aTol21, aTol22, aTol11, aTol12 ;
getDomainParametrs(theDomainOther,aFirst2, aLast2, aTol21, aTol22);
if( aRes2 < aFirst2 - aTol21 || aRes2 > aLast2 + aTol22 ) {
return Standard_False;
}
//------ compute parameters of intersection point --
IntRes2d_Transition aT1,aT2;
IntRes2d_Position aPos1a = FindPositionLL(theResSup,theCurDomain);
IntRes2d_Position aPos2a = FindPositionLL(aRes2,theDomainOther);
IntRes2d_TypeTrans anOtherTrans = ( theCurTrans == IntRes2d_Out ?
IntRes2d_In : ( theCurTrans == IntRes2d_In ? IntRes2d_Out : IntRes2d_Undecided ) );
if( theCurTrans != IntRes2d_Undecided )
{
aT1.SetValue(Standard_False, aPos1a, theCurTrans);
aT2.SetValue(Standard_False, aPos2a, anOtherTrans);
}
else
{
Standard_Boolean anOpposite = theCosT1T2 < 0.;
aT1.SetValue(Standard_False,aPos1a,IntRes2d_Unknown,anOpposite);
aT2.SetValue(Standard_False,aPos2a,IntRes2d_Unknown,anOpposite);
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//--------------------------------------------------
//gka bug 0022833
Standard_Real aResU1 = theParCur;
Standard_Real aResU2 = theParOther;
Standard_Real aFirst1, aLast1;
getDomainParametrs(theCurDomain,aFirst1, aLast1, aTol11, aTol12);
Standard_Boolean isInside1 = (theParCur >= aFirst1 && theParCur <= aLast1);
Standard_Boolean isInside2 = (theParOther >= aFirst2 && theParOther <= aLast2);
if(!isInside1 || !isInside2)
{
if(isInside1)
{
gp_Pnt2d Pt1=ElCLib::Value(aRes2,theOtherLin);
aResU2 = aRes2;
Standard_Real aPar1 = ElCLib::Parameter(theCurLin,Pt1);
aResU1 =((aPar1 >= aFirst1 && aPar1<= aLast1) ? aPar1 : theResSup);
}
else if(isInside2)
{
gp_Pnt2d aPt1=ElCLib::Value(theResSup,theCurLin);
aResU1 = theResSup;
Standard_Real aPar2 = ElCLib::Parameter(theOtherLin,aPt1);
aResU2= ((aPar2 >= aFirst2 && aPar2<= aLast2) ? aPar2 : aRes2);
}
else
{
//PKVf
// check that parameters are within range on both curves
if ( theParCur < aFirst1-aTol11 || theParCur > aLast1+aTol12 ||
theParOther < aFirst2-aTol21 || theParOther > aLast2+aTol22) {
return Standard_False;
}
//PKVt
aResU1 = theResSup;
aResU2= aRes2;
}
}
gp_Pnt2d aPres((ElCLib::Value(aResU1,theCurLin).XY() + ElCLib::Value(aResU2,theOtherLin).XY()) * 0.5 );
if(theNum == 1 )
theNewPoint.SetValues(aPres, aResU1, aResU2 ,aT1, aT2, Standard_False);
else
theNewPoint.SetValues(aPres, aResU2, aResU1 ,aT2, aT1, Standard_False);
return Standard_True;
}
//----------------------------------------------------------------------
void IntCurve_IntConicConic::Perform(const gp_Lin2d& L1
,const IntRes2d_Domain& Domain1
,const gp_Lin2d& L2
,const IntRes2d_Domain& Domain2
,const Standard_Real,const Standard_Real TolR) {
this->ResetFields();
//-- Coordonnees du point d intersection sur chacune des 2 droites
Standard_Real U1,U2;
//-- Nombre de points solution : 1 : Intersection
//-- 0 : Non Confondues
//-- 2 : Confondues a la tolerance pres
Standard_Integer nbsol;
IntRes2d_IntersectionPoint PtSeg1,PtSeg2;
Standard_Real SINL1L2;
Standard_Real Tol = TolR;
if(TolR< 1e-10) Tol = 1e-10;
LineLineGeometricIntersection(L1,L2,Tol,U1,U2,SINL1L2,nbsol);
gp_Vec2d Tan1=L1.Direction();
gp_Vec2d Tan2=L2.Direction();
Standard_Real aCosT1T2 = Tan1.Dot(Tan2);
Standard_Boolean Opposite=(aCosT1T2 < 0.0)? Standard_True : Standard_False;
done=Standard_True;
if(nbsol==1) {
//---------------------------------------------------
//-- d: distance du point I a partir de laquelle les
//-- points de parametre U1+d et U2+-d sont ecartes
//-- d une distance superieure a Tol.
//---------------------------------------------------
IntRes2d_Position Pos1a,Pos2a,Pos1b,Pos2b;
Standard_Real d=Tol/(SINL1L2);
Standard_Real U1inf=U1-d;
Standard_Real U1sup=U1+d;
Standard_Real U1mU2=U1-U2;
Standard_Real U1pU2=U1+U2;
Standard_Real Res1inf,Res1sup;
Standard_Real ProdVectTan;
//---------------------------------------------------
//-- On agrandit la zone U1inf U1sup pour tenir compte
//-- des tolerances des points en bout
//--
if(Domain1.HasFirstPoint()) {
if(L2.Distance(Domain1.FirstPoint()) < Domain1.FirstTolerance()) {
if(U1inf > Domain1.FirstParameter()) {
U1inf = Domain1.FirstParameter();
}
if(U1sup < Domain1.FirstParameter()) {
U1sup = Domain1.FirstParameter();
}
}
}
if(Domain1.HasLastPoint()) {
if(L2.Distance(Domain1.LastPoint()) < Domain1.LastTolerance()) {
if(U1inf > Domain1.LastParameter()) {
U1inf = Domain1.LastParameter();
}
if(U1sup < Domain1.LastParameter()) {
U1sup = Domain1.LastParameter();
}
}
}
if(Domain2.HasFirstPoint()) {
if(L1.Distance(Domain2.FirstPoint()) < Domain2.FirstTolerance()) {
Standard_Real p = ElCLib::Parameter(L1,Domain2.FirstPoint());
if(U1inf > p) {
U1inf = p;
}
if(U1sup < p) {
U1sup = p;
}
}
}
if(Domain2.HasLastPoint()) {
if(L1.Distance(Domain2.LastPoint()) < Domain2.LastTolerance()) {
Standard_Real p = ElCLib::Parameter(L1,Domain2.LastPoint());
if(U1inf > p) {
U1inf = p;
}
if(U1sup < p) {
U1sup = p;
}
}
}
//-----------------------------------------------------------------
DomainIntersection(Domain1,U1inf,U1sup,Res1inf,Res1sup,Pos1a,Pos1b);
if((Res1sup-Res1inf)<0.0) {
//-- Si l intersection est vide
//--
}
else { //-- (Domain1 INTER Zone Intersection) non vide
ProdVectTan=Tan1.Crossed(Tan2);
//#####################################################################
//## Longueur Minimale d un segment Sur Courbe 1
//#####################################################################
Standard_Real LongMiniSeg=Tol;
if(((Res1sup-Res1inf)<=LongMiniSeg)
|| ((Pos1a==Pos1b)&&(Pos1a!=IntRes2d_Middle)))
{
//------------------------------- Un seul Point -------------------
//--- lorsque la longueur du segment est inferieure a ??
//--- ou si deux points designent le meme bout
//gka #0022833
IntRes2d_TypeTrans aCurTrans = ( ProdVectTan >= TOLERANCE_ANGULAIRE ?
IntRes2d_Out : ( ProdVectTan <= -TOLERANCE_ANGULAIRE ? IntRes2d_In : IntRes2d_Undecided ) );
IntRes2d_IntersectionPoint NewPoint1;
if( computeIntPoint(Domain1, Domain2, L1, L2, aCosT1T2, U1, U2, Res1inf, Res1sup, 1, aCurTrans, NewPoint1 ) )
Append(NewPoint1);
//------------------------------------------------------
} //--------------- Fin du cas : 1 seul point --------------------
else {
//-- Intersection AND Domain1 --------> Segment ---------------------
Standard_Real U2inf,U2sup;
Standard_Real Res2inf,Res2sup;
if(Opposite) { U2inf = U1pU2 -Res1sup; U2sup= U1pU2-Res1inf; }
else { U2inf = Res1inf-U1mU2; U2sup= Res1sup-U1mU2; }
DomainIntersection(Domain2,U2inf,U2sup,Res2inf,Res2sup,Pos2a,Pos2b);
//####################################################################
//## Test sur la longueur minimale d un segment sur Ligne2
//####################################################################
Standard_Real Res2sup_m_Res2inf = Res2sup-Res2inf;
if(Res2sup_m_Res2inf < 0.0) {
//-- Pas de solutions On retourne Vide
}
else if(((Res2sup-Res2inf) > LongMiniSeg)
|| ((Pos2a==Pos2b)&&(Pos2a!=IntRes2d_Middle))) {
//----------- Calcul des attributs du segment --------------
//-- Attention, les bornes Res1inf(sup) bougent donc il faut
//-- eventuellement recalculer les attributs
if(Opposite) { Res1inf=U1pU2-Res2sup; Res1sup=U1pU2-Res2inf;
Standard_Real Tampon=Res2inf; Res2inf=Res2sup; Res2sup=Tampon;
IntRes2d_Position Pos=Pos2a; Pos2a=Pos2b; Pos2b=Pos;
}
else { Res1inf=U1mU2+Res2inf; Res1sup=U1mU2+Res2sup; }
Pos1a=FindPositionLL(Res1inf,Domain1);
Pos1b=FindPositionLL(Res1sup,Domain1);
IntRes2d_Transition T1a,T2a,T1b,T2b;
if(ProdVectTan>=TOLERANCE_ANGULAIRE) { // &&&&&&&&&&&&&&&
T1a.SetValue(Standard_False,Pos1a,IntRes2d_Out);
T2a.SetValue(Standard_False,Pos2a,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) {
T1a.SetValue(Standard_False,Pos1a,IntRes2d_In);
T2a.SetValue(Standard_False,Pos2a,IntRes2d_Out);
}
else {
T1a.SetValue(Standard_False,Pos1a,IntRes2d_Unknown,Opposite);
T2a.SetValue(Standard_False,Pos2a,IntRes2d_Unknown,Opposite);
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~ C O N V E N T I O N - S E G M E N T ~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~ On Renvoie un segment dans les cas suivants : ~~
//~~ (1) Extremite L1 L2 ------> Extremite L1 L2 ~~
//~~ (2) Extremite L1 L2 ------> Intersection ~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Standard_Boolean ResultIsAPoint=Standard_False;
if(((Res1sup-Res1inf)<=LongMiniSeg)
|| (Abs(Res2sup-Res2inf)<=LongMiniSeg)) {
//-- On force la creation d un point
ResultIsAPoint=Standard_True;
}
else {
//------------------------------------------------------------
//-- On traite les cas ou l intersection est situee du
//-- Mauvais cote du domaine
//-- Attention : Res2inf <-> Pos2a Res2sup <-> Pos2b
//-- et Res1inf <-> Pos1a Res1sup <-> Pos1b
//-- avec Res1inf <= Res1sup
//------------------------------------------------------------
//-- Le point sera : Res1inf,Res2inf,T1a(Pos1a),T2a(Pos2a)
//------------------------------------------------------------
if(Pos1a==IntRes2d_Head) {
if(Pos1b!=IntRes2d_End && U1<Res1inf) { ResultIsAPoint=Standard_True; U1=Res1inf; U2=Res2inf; }
}
if(Pos1b==IntRes2d_End) {
if(Pos1a!=IntRes2d_Head && U1>Res1sup) { ResultIsAPoint=Standard_True; U1=Res1sup; U2=Res2sup; }
}
if(Pos2a==IntRes2d_Head) {
if(Pos2b!=IntRes2d_End && U2<Res2inf) { ResultIsAPoint=Standard_True; U2=Res2inf; U1=Res1inf; }
}
else {
if(Pos2a==IntRes2d_End) {
if(Pos2b!=IntRes2d_Head && U2>Res2inf) { ResultIsAPoint=Standard_True; U2=Res2inf; U1=Res1inf; }
}
}
if(Pos2b==IntRes2d_Head) {
if(Pos2a!=IntRes2d_End && U2<Res2sup) { ResultIsAPoint=Standard_True; U2=Res2sup; U1=Res1sup; }
}
else {
if(Pos2b==IntRes2d_End) {
if(Pos2a!=IntRes2d_Head && U2>Res2sup) { ResultIsAPoint=Standard_True; U2=Res2sup; U1=Res1sup; }
}
}
}
if((!ResultIsAPoint) && (Pos1a!=IntRes2d_Middle || Pos2a!=IntRes2d_Middle)) {
IntRes2d_Transition T1b,T2b;
if(ProdVectTan>=TOLERANCE_ANGULAIRE) { //&&&&&&&&&&&&&&
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Out);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) { //&&&&&&&&&&&&&&
T1b.SetValue(Standard_False,Pos1b,IntRes2d_In);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Out);
}
else {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Unknown,Opposite);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Unknown,Opposite);
}
gp_Pnt2d Ptdebut;
if(Pos1a==IntRes2d_Middle) {
Standard_Real t3;
if(Opposite) {
t3 = (Pos2a == IntRes2d_Head)? Res2sup : Res2inf;
}
else {
t3 = (Pos2a == IntRes2d_Head)? Res2inf : Res2sup;
}
Ptdebut=ElCLib::Value(t3,L2);
Res1inf=ElCLib::Parameter(L1,Ptdebut);
}
else {
Standard_Real t4 = (Pos1a == IntRes2d_Head)? Res1inf : Res1sup;
Ptdebut=ElCLib::Value(t4,L1);
Res2inf=ElCLib::Parameter(L2,Ptdebut);
}
PtSeg1.SetValues(Ptdebut,Res1inf,Res2inf,T1a,T2a,Standard_False);
if(Pos1b!=IntRes2d_Middle || Pos2b!=IntRes2d_Middle) {
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~ Ajustement des parametres et du point renvoye
gp_Pnt2d Ptfin;
if(Pos1b==IntRes2d_Middle) {
Ptfin=ElCLib::Value(Res2sup,L2);
Res1sup=ElCLib::Parameter(L1,Ptfin);
}
else {
Ptfin=ElCLib::Value(Res1sup,L1);
Res2sup=ElCLib::Parameter(L2,Ptfin);
}
PtSeg2.SetValues(Ptfin,Res1sup,Res2sup,T1b,T2b,Standard_False);
IntRes2d_IntersectionSegment Segment(PtSeg1,PtSeg2
,Opposite,Standard_False);
Append(Segment);
}
else { //-- Extremite(L1 ou L2) ------> Point Middle(L1 et L2)
Pos1b=FindPositionLL(U1,Domain1);
Pos2b=FindPositionLL(U2,Domain2);
if(ProdVectTan>=TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Out);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_In);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Out);
}
else {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Unknown,Opposite);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Unknown,Opposite);
}
PtSeg2.SetValues(ElCLib::Value(U2,L2),U1,U2,T1b,T2b,Standard_False);
if((Abs(Res1inf-U1) >LongMiniSeg) && (Abs(Res2inf-U2) >LongMiniSeg)) {
IntRes2d_IntersectionSegment Segment(PtSeg1,PtSeg2,Opposite,Standard_False);
Append(Segment);
}
else {
Append(SegmentToPoint(PtSeg1,T1a,T2a,PtSeg2,T1b,T2b));
}
}
} //-- (Pos1a!=IntRes2d_Middle || Pos2a!=IntRes2d_Middle) --
else { //-- Pos1a == Pos2a == Middle
if(Pos1b==IntRes2d_Middle) Pos1b=Pos1a;
if(Pos2b==IntRes2d_Middle) Pos2b=Pos2a;
if(ResultIsAPoint) {
//-- Middle sur le segment A
//--
if(Pos1b!=IntRes2d_Middle || Pos2b!=IntRes2d_Middle) {
gp_Pnt2d Ptfin;
if(Pos1b==IntRes2d_Middle) {
Standard_Real t2;
if(Opposite) {
t2 = (Pos2b == IntRes2d_Head)? Res2sup : Res2inf;
}
else {
t2 = (Pos2b == IntRes2d_Head)? Res2inf : Res2sup;
}
Ptfin=ElCLib::Value(t2,L2);
Res1sup=ElCLib::Parameter(L1,Ptfin);
//modified by NIZHNY-MKK Tue Feb 15 10:54:51 2000.BEGIN
Pos1b=FindPositionLL(Res1sup,Domain1);
//modified by NIZHNY-MKK Tue Feb 15 10:54:55 2000.END
}
else {
Standard_Real t1 = (Pos1b == IntRes2d_Head)? Res1inf : Res1sup;
Ptfin=ElCLib::Value(t1,L1);
Res2sup=ElCLib::Parameter(L2,Ptfin);
//modified by NIZHNY-MKK Tue Feb 15 10:55:08 2000.BEGIN
Pos2b=FindPositionLL(Res2sup,Domain2);
//modified by NIZHNY-MKK Tue Feb 15 10:55:11 2000.END
}
if(ProdVectTan>=TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Out);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_In);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Out);
}
else {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Unknown,Opposite);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Unknown,Opposite);
}
PtSeg2.SetValues(Ptfin,Res1sup,Res2sup,T1b,T2b,Standard_False);
Append(PtSeg2);
}
else {
Pos1b=FindPositionLL(U1,Domain1);
Pos2b=FindPositionLL(U2,Domain2);
if(ProdVectTan>=TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Out);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_In);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Out);
}
else {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Unknown,Opposite);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Unknown,Opposite);
}
PtSeg1.SetValues(ElCLib::Value(U2,L2),U1,U2,T1b,T2b,Standard_False);
Append(PtSeg1);
}
}
else {
PtSeg1.SetValues(ElCLib::Value(U2,L2),U1,U2,T1a,T2a,Standard_False);
if((Pos1b!=IntRes2d_Middle || Pos2b!=IntRes2d_Middle)) {
IntRes2d_Transition T1b,T2b;
if(ProdVectTan>=TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Out);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_In);
}
else if(ProdVectTan<=-TOLERANCE_ANGULAIRE) {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_In);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Out);
}
else {
T1b.SetValue(Standard_False,Pos1b,IntRes2d_Unknown,Opposite);
T2b.SetValue(Standard_False,Pos2b,IntRes2d_Unknown,Opposite);
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~ Ajustement des parametres et du point renvoye
gp_Pnt2d Ptfin;
if(Pos1b==IntRes2d_Middle) {
Ptfin=ElCLib::Value(Res2sup,L2);
Res1sup=ElCLib::Parameter(L1,Ptfin);
}
else {
Ptfin=ElCLib::Value(Res1sup,L1);
Res2sup=ElCLib::Parameter(L2,Ptfin);
}
PtSeg2.SetValues(Ptfin,Res1sup,Res2sup,T1b,T2b,Standard_False);
if((Abs(U1-Res1sup)>LongMiniSeg)
||(Abs(U2-Res2sup)>LongMiniSeg)) {
//-- Modif du 1er Octobre 92 (Pour Composites)
IntRes2d_IntersectionSegment Segment(PtSeg1,PtSeg2
,Opposite,Standard_False);
Append(Segment);
}
else {
Append(SegmentToPoint(PtSeg1,T1a,T2a,PtSeg2,T1b,T2b));
}
}
else {
Append(PtSeg1);
}
}
}
} //----- Fin Creation Segment ----(Res2sup-Res2inf>Tol)-------------
else {
//------ (Intersection And Domain1) AND Domain2 --> Point ------
//-- Attention Res1sup peut etre different de U2
//-- Mais on a Res1sup-Res1inf < Tol
//gka #0022833
IntRes2d_TypeTrans aCurTrans = ( ProdVectTan >= TOLERANCE_ANGULAIRE ?
IntRes2d_In : ( ProdVectTan <= -TOLERANCE_ANGULAIRE ? IntRes2d_Out : IntRes2d_Undecided ) );
IntRes2d_IntersectionPoint NewPoint1;
if( computeIntPoint(Domain2, Domain1, L2, L1, aCosT1T2, U2, U1, Res2inf, Res2sup, 2, aCurTrans, NewPoint1 ) )
Append(NewPoint1);
}
}
}
}
else {
if(nbsol==2) { //== Droites confondues a la tolerance pres
//--On traite ici le cas de segments resultats non neccess. bornes
//--
//--On prend la droite D1 comme reference ( pour le sens positif )
//--
Standard_Integer ResHasFirstPoint=0;
Standard_Integer ResHasLastPoint=0;
Standard_Real ParamStart,ParamStart2,ParamEnd,ParamEnd2;
Standard_Real Org2SurL1=ElCLib::Parameter(L1,L2.Location());
//== 3 : L1 et L2 bornent
//== 2 : L2 borne
//== 1 : L1 borne
if(Domain1.HasFirstPoint()) ResHasFirstPoint=1;
if(Domain1.HasLastPoint()) ResHasLastPoint=1;
if(Opposite) {
if(Domain2.HasLastPoint()) ResHasFirstPoint+=2;
if(Domain2.HasFirstPoint()) ResHasLastPoint+=2;
}
else {
if(Domain2.HasLastPoint()) ResHasLastPoint+=2;
if(Domain2.HasFirstPoint()) ResHasFirstPoint+=2;
}
if(ResHasFirstPoint==0 && ResHasLastPoint==0) {
//~~~~ Creation d un segment infini avec Opposite
Append(IntRes2d_IntersectionSegment(Opposite));
}
else { //-- On obtient au pire une demi-droite
switch(ResHasFirstPoint) {
case 1:
ParamStart=Domain1.FirstParameter();
ParamStart2=(Opposite)? (Org2SurL1-ParamStart)
:(ParamStart-Org2SurL1);
break;
case 2:
if(Opposite) {
ParamStart2=Domain2.LastParameter();
ParamStart=Org2SurL1 - ParamStart2;
}
else {
ParamStart2=Domain2.FirstParameter();
ParamStart=Org2SurL1 + ParamStart2;
}
break;
case 3:
if(Opposite) {
ParamStart2=Domain2.LastParameter();
ParamStart=Org2SurL1 - ParamStart2;
if(ParamStart < Domain1.FirstParameter()) {
ParamStart=Domain1.FirstParameter();
ParamStart2=Org2SurL1 - ParamStart;
}
}
else {
ParamStart2=Domain2.FirstParameter();
ParamStart=Org2SurL1 + ParamStart2;
if(ParamStart < Domain1.FirstParameter()) {
ParamStart=Domain1.FirstParameter();
ParamStart2=ParamStart - Org2SurL1;
}
}
break;
default: //~~~ Segment Infini a gauche
break;
}
switch(ResHasLastPoint) {
case 1:
ParamEnd=Domain1.LastParameter();
ParamEnd2=(Opposite)? (Org2SurL1-ParamEnd)
:(ParamEnd-Org2SurL1);
break;
case 2:
if(Opposite) {
ParamEnd2=Domain2.FirstParameter();
ParamEnd=Org2SurL1 - ParamEnd2;
}
else {
ParamEnd2=Domain2.LastParameter();
ParamEnd=Org2SurL1 + ParamEnd2;
}
break;
case 3:
if(Opposite) {
ParamEnd2=Domain2.FirstParameter();
ParamEnd=Org2SurL1 - ParamEnd2;
if(ParamEnd > Domain1.LastParameter()) {
ParamEnd=Domain1.LastParameter();
ParamEnd2=Org2SurL1 - ParamEnd;
}
}
else {
ParamEnd2=Domain2.LastParameter();
ParamEnd=Org2SurL1 + ParamEnd2;
if(ParamEnd > Domain1.LastParameter()) {
ParamEnd=Domain1.LastParameter();
ParamEnd2=ParamEnd - Org2SurL1;
}
}
default: //~~~ Segment Infini a droite
break;
}
IntRes2d_Transition Tinf,Tsup;
if(ResHasFirstPoint) {
if(ResHasLastPoint) {
//~~~ Creation de la borne superieure
//~~~ L1 : |-------------> ou |-------------->
//~~~ L2 : <------------| ou <----|
if(ParamEnd >= (ParamStart-Tol)) {
//~~~ Creation d un segment
IntRes2d_Position Pos1,Pos2;
Pos1=FindPositionLL(ParamStart,Domain1);
Pos2=FindPositionLL(ParamStart2,Domain2);
Tinf.SetValue(Standard_True,Pos1,IntRes2d_Unknown,Opposite);
Tsup.SetValue(Standard_True,Pos2,IntRes2d_Unknown,Opposite);
IntRes2d_IntersectionPoint P1(ElCLib::Value(ParamStart,L1)
,ParamStart,ParamStart2
,Tinf,Tsup,Standard_False);
if(ParamEnd > (ParamStart+Tol)) {
//~~~ Le segment est assez long
Pos1=FindPositionLL(ParamEnd,Domain1);
Pos2=FindPositionLL(ParamEnd2,Domain2);
Tinf.SetValue(Standard_True,Pos1,IntRes2d_Unknown,Opposite);
Tsup.SetValue(Standard_True,Pos2,IntRes2d_Unknown,Opposite);
IntRes2d_IntersectionPoint P2(ElCLib::Value(ParamEnd,L1)
,ParamEnd,ParamEnd2
,Tinf,Tsup,Standard_False);
IntRes2d_IntersectionSegment Seg(P1,P2,Opposite,Standard_False);
Append(Seg);
}
else { //~~~~ le segment est de longueur inferieure a Tol
Append(P1);
}
} //-- if( ParamEnd >= ...)
} //-- if(ResHasLastPoint)
else {
//~~~ Creation de la demi droite |----------->
IntRes2d_Position Pos1=FindPositionLL(ParamStart,Domain1);
IntRes2d_Position Pos2=FindPositionLL(ParamStart2,Domain2);
Tinf.SetValue(Standard_True,Pos1,IntRes2d_Unknown,Opposite);
Tsup.SetValue(Standard_True,Pos2,IntRes2d_Unknown,Opposite);
IntRes2d_IntersectionPoint P(ElCLib::Value(ParamStart,L1)
,ParamStart,ParamStart2
,Tinf,Tsup,Standard_False);
IntRes2d_IntersectionSegment Seg(P,Standard_True,Opposite,Standard_False);
Append(Seg);
}
}
else {
IntRes2d_Position Pos1=FindPositionLL(ParamEnd,Domain1);
IntRes2d_Position Pos2=FindPositionLL(ParamEnd2,Domain2);
Tinf.SetValue(Standard_True,Pos1,IntRes2d_Unknown,Opposite);
Tsup.SetValue(Standard_True,Pos2,IntRes2d_Unknown,Opposite);
IntRes2d_IntersectionPoint P2(ElCLib::Value(ParamEnd,L1)
,ParamEnd,ParamEnd2
,Tinf,Tsup,Standard_False);
IntRes2d_IntersectionSegment Seg(P2,Standard_False,Opposite,Standard_False);
Append(Seg);
//~~~ Creation de la demi droite <-----------|
}
}
}
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
void IntCurve_IntConicConic::Perform(const gp_Lin2d& Line
,const IntRes2d_Domain& LIG_Domain
,const gp_Circ2d& Circle
,const IntRes2d_Domain& CIRC_Domain
,const Standard_Real TolConf,const Standard_Real Tol) {
//-- if(! CIRC_Domain.IsClosed()) {
//-- Standard_ConstructionError::Raise("Domaine incorrect");
//-- }
Standard_Boolean TheReversedParameters=ReversedParameters();
this->ResetFields();
this->SetReversedParameters(TheReversedParameters);
Standard_Integer nbsol=0;
PeriodicInterval CInt1,CInt2;
LineCircleGeometricIntersection(Line,Circle,TolConf,Tol
,CInt1,CInt2
,nbsol);
done=Standard_True;
if(nbsol==0) { //-- Pas de solutions
return;
}
// Modified by Sergey KHROMOV - Mon Dec 18 11:13:18 2000 Begin
if (nbsol == 2 && CInt2.Bsup == CInt1.Binf + PIpPI) {
Standard_Real FirstBound = CIRC_Domain.FirstParameter();
Standard_Real LastBound = CIRC_Domain.LastParameter();
Standard_Real FirstTol = CIRC_Domain.FirstTolerance();
Standard_Real LastTol = CIRC_Domain.LastTolerance();
if (CInt1.Binf == 0 && FirstBound - FirstTol > CInt1.Bsup) {
nbsol = 1;
CInt1.SetValues(CInt2.Binf, CInt2.Bsup);
} else if (CInt2.Bsup == PIpPI && LastBound + LastTol < CInt2.Binf)
nbsol = 1;
}
// Modified by Sergey KHROMOV - Mon Dec 18 11:13:20 2000 End
PeriodicInterval CDomain(CIRC_Domain);
Standard_Real deltat = CDomain.Bsup-CDomain.Binf;
while(CDomain.Binf >= PIpPI) CDomain.Binf-=PIpPI;
while(CDomain.Binf < 0.0) CDomain.Binf+=PIpPI;
CDomain.Bsup=CDomain.Binf+deltat;
//------------------------------------------------------------
//-- Ajout : Jeudi 28 mars 96
//-- On agrandit artificiellement les domaines
Standard_Real BinfModif = CDomain.Binf;
Standard_Real BsupModif = CDomain.Bsup;
BinfModif-=CIRC_Domain.FirstTolerance() / Circle.Radius();
BsupModif+=CIRC_Domain.LastTolerance() / Circle.Radius();
deltat = BsupModif-BinfModif;
if(deltat<=PIpPI) {
CDomain.Binf = BinfModif;
CDomain.Bsup = BsupModif;
}
else {
Standard_Real t=PIpPI-deltat;
t*=0.5;
CDomain.Binf = BinfModif+t;
CDomain.Bsup = BsupModif-t;
}
deltat = CDomain.Bsup-CDomain.Binf;
while(CDomain.Binf >= PIpPI) CDomain.Binf-=PIpPI;
while(CDomain.Binf < 0.0) CDomain.Binf+=PIpPI;
CDomain.Bsup=CDomain.Binf+deltat;
//-- ------------------------------------------------------------
Interval LDomain(LIG_Domain);
Standard_Integer NbSolTotal=0;
PeriodicInterval SolutionCircle[4];
Interval SolutionLine[4];
//----------------------------------------------------------------------
//----------- Traitement du premier intervalle Geometrique CInt1 ----
//----------------------------------------------------------------------
//-- NbSolTotal est incremente a chaque Intervalle solution.
//-- On stocke les intervalles dans les tableaux : SolutionCircle[4]
//-- et SolutionLine[4]
//-- des Exemples faciles donnent 3 Intersections
//-- des Problemes numeriques peuvent peut etre en donner 4 ??????
//--
PeriodicInterval CDomainAndRes=CDomain.FirstIntersection(CInt1);
ProjectOnLAndIntersectWithLDomain(Circle,Line
,CDomainAndRes
,LDomain
,SolutionCircle
,SolutionLine
,NbSolTotal
,LIG_Domain
,CIRC_Domain);
CDomainAndRes=CDomain.SecondIntersection(CInt1);
ProjectOnLAndIntersectWithLDomain(Circle,Line
,CDomainAndRes
,LDomain
,SolutionCircle
,SolutionLine
,NbSolTotal
,LIG_Domain
,CIRC_Domain);
//----------------------------------------------------------------------
//----------- Traitement du second intervalle Geometrique C1_Int2 ----
//----------------------------------------------------------------------
if(nbsol==2) {
CDomainAndRes=CDomain.FirstIntersection(CInt2);
ProjectOnLAndIntersectWithLDomain(Circle,Line
,CDomainAndRes
,LDomain
,SolutionCircle
,SolutionLine
,NbSolTotal
,LIG_Domain
,CIRC_Domain);
//--------------------------------------------------------------------
CDomainAndRes=CDomain.SecondIntersection(CInt2);
ProjectOnLAndIntersectWithLDomain(Circle,Line
,CDomainAndRes
,LDomain
,SolutionCircle
,SolutionLine
,NbSolTotal
,LIG_Domain
,CIRC_Domain);
}
//----------------------------------------------------------------------
//-- Calcul de toutes les transitions et Positions.
//--
//-- On determine si des intervalles sont reduit a des points
//-- ( Rayon * Intervalle.Length() < TolConf ) ### Modif 19 Nov Tol-->TolConf
//--
Standard_Real R=Circle.Radius();
Standard_Integer i ;
Standard_Real MaxTol = TolConf;
if(MaxTol<Tol) MaxTol = Tol;
if(MaxTol<1.0e-10) MaxTol = 1.0e-10;
for( i=0; i<NbSolTotal ; i++) {
if((R * SolutionCircle[i].Length())<MaxTol
&& (SolutionLine[i].Length())<MaxTol) {
Standard_Real t=(SolutionCircle[i].Binf+SolutionCircle[i].Bsup)*0.5;
SolutionCircle[i].Binf=SolutionCircle[i].Bsup=t;
t=(SolutionLine[i].Binf+SolutionLine[i].Bsup)*0.5;
SolutionLine[i].Binf=SolutionLine[i].Bsup=t;
}
}
#if 0
if(NbSolTotal == 2) {
if(SolutionLine[0].Binf==SolutionLine[0].BSup) {
if(SolutionLine[1].Binf==SolutionLine[1].BSup) {
if(Abs(SolutionLine[0].Binf-SolutionLine[1].Binf)<TolConf) {
SolutionLine[0].Binf=0.5*(SolutionLine[0].BSup+SolutionLine[1].BSup);
SolutionLine[0].BSup=SolutionLine[0].Binf;
NbSolTotal = 1;
}
}
}
}
#endif
//----------------------------------------------------------------------
//-- Traitement des intervalles (ou des points obtenus)
//--
if(NbSolTotal) {
gp_Ax22d CircleAxis=Circle.Axis();
gp_Ax2d LineAxis=Line.Position();
gp_Pnt2d P1a,P2a,P1b,P2b;
gp_Vec2d Tan1,Tan2,Norm1;
gp_Vec2d Norm2(0.0,0.0);
IntRes2d_Transition T1a,T2a,T1b,T2b;
IntRes2d_Position Pos1a,Pos1b,Pos2a,Pos2b;
ElCLib::CircleD1(SolutionCircle[0].Binf,CircleAxis,R,P1a,Tan1);
ElCLib::LineD1(SolutionLine[0].Binf,LineAxis,P2a,Tan2);
Standard_Boolean Opposite=((Tan1.Dot(Tan2))<0.0)? Standard_True : Standard_False;
for(i=0; i<NbSolTotal; i++ ) {
//-- 7 aout 97
//-- On recentre Bin et Bsup de facon a avoir une portion commune avec CIRC_Domain
Standard_Real p1=SolutionCircle[i].Binf;
Standard_Real p2=SolutionCircle[i].Bsup;
Standard_Real q1=CIRC_Domain.FirstParameter();
Standard_Real q2=CIRC_Domain.LastParameter();
//-- |------ CircDomain ------| [-- Sol --]
if(p1>q2) {
do {
p1-=PIpPI;
p2-=PIpPI;
}
while( (p1>q2) );
}
else if(p2<q1) {
do {
p1+=PIpPI;
p2+=PIpPI;
}
while( (p2<q1) );
}
if(p1<q1 && p2>q1) {
p1=q1;
}
if(p1<q2 && p2>q2) {
p2=q2;
}
#if 0
if(SolutionCircle[i].Binf!=p1 || SolutionCircle[i].Bsup!=p2) {
printf("\n IntCurve_IntConicConic_1.cxx : (%g , %g) --> (%g , %g)\n",
SolutionCircle[i].Binf,SolutionCircle[i].Bsup,p1,p2);
}
#endif
SolutionCircle[i].Binf=p1;
SolutionCircle[i].Bsup=p2;
//-- Fin 7 aout 97
Standard_Real Linf=(Opposite)? SolutionLine[i].Bsup : SolutionLine[i].Binf;
Standard_Real Lsup=(Opposite)? SolutionLine[i].Binf : SolutionLine[i].Bsup;
//---------------------------------------------------------------
//-- Si les parametres sur le cercle sont en premier
//-- On doit retourner ces parametres dans l ordre croissant
//---------------------------------------------------------------
if(Linf > Lsup) {
Standard_Real T=SolutionCircle[i].Binf;
SolutionCircle[i].Binf=SolutionCircle[i].Bsup;
SolutionCircle[i].Bsup=T;
T=Linf; Linf=Lsup; Lsup=T;
}
ElCLib::CircleD2(SolutionCircle[i].Binf,CircleAxis,R,P1a,Tan1,Norm1);
ElCLib::LineD1(Linf,LineAxis,P2a,Tan2);
IntImpParGen::DeterminePosition(Pos1a,CIRC_Domain,P1a,SolutionCircle[i].Binf);
IntImpParGen::DeterminePosition(Pos2a,LIG_Domain,P2a,Linf);
Determine_Transition_LC(Pos1a,Tan1,Norm1,T1a , Pos2a,Tan2,Norm2,T2a, Tol);
Standard_Real Cinf;
if(Pos1a==IntRes2d_End) {
Cinf = CIRC_Domain.LastParameter();
P1a = CIRC_Domain.LastPoint();
Linf = ElCLib::Parameter(Line,P1a);
ElCLib::CircleD2(Cinf,CircleAxis,R,P1a,Tan1,Norm1);
ElCLib::LineD1(Linf,LineAxis,P2a,Tan2);
IntImpParGen::DeterminePosition(Pos1a,CIRC_Domain,P1a,Cinf);
IntImpParGen::DeterminePosition(Pos2a,LIG_Domain,P2a,Linf);
Determine_Transition_LC(Pos1a,Tan1,Norm1,T1a , Pos2a,Tan2,Norm2,T2a, Tol);
}
else if(Pos1a==IntRes2d_Head) {
Cinf = CIRC_Domain.FirstParameter();
P1a = CIRC_Domain.FirstPoint();
Linf = ElCLib::Parameter(Line,P1a);
ElCLib::CircleD2(Cinf,CircleAxis,R,P1a,Tan1,Norm1);
ElCLib::LineD1(Linf,LineAxis,P2a,Tan2);
IntImpParGen::DeterminePosition(Pos1a,CIRC_Domain,P1a,Cinf);
IntImpParGen::DeterminePosition(Pos2a,LIG_Domain,P2a,Linf);
Determine_Transition_LC(Pos1a,Tan1,Norm1,T1a , Pos2a,Tan2,Norm2,T2a, Tol);
}
else {
Cinf=NormalizeOnCircleDomain(SolutionCircle[i].Binf,CIRC_Domain);
}
IntRes2d_IntersectionPoint NewPoint1(P1a,Linf,Cinf,T2a,T1a,ReversedParameters());
if((SolutionLine[i].Length()+SolutionCircle[i].Length()) >0.0) {
ElCLib::CircleD2(SolutionCircle[i].Bsup,CircleAxis,R,P1b,Tan1,Norm1);
ElCLib::LineD1(Lsup,LineAxis,P2b,Tan2);
IntImpParGen::DeterminePosition(Pos1b,CIRC_Domain,P1b,SolutionCircle[i].Bsup);
IntImpParGen::DeterminePosition(Pos2b,LIG_Domain,P2b,Lsup);
Determine_Transition_LC(Pos1b,Tan1,Norm1,T1b , Pos2b,Tan2,Norm2,T2b, Tol);
Standard_Real Csup;
if(Pos1b==IntRes2d_End) {
Csup = CIRC_Domain.LastParameter();
P1b = CIRC_Domain.LastPoint();
Lsup = ElCLib::Parameter(Line,P1b);
ElCLib::CircleD2(Csup,CircleAxis,R,P1b,Tan1,Norm1);
ElCLib::LineD1(Lsup,LineAxis,P2b,Tan2);
IntImpParGen::DeterminePosition(Pos1b,CIRC_Domain,P1b,Csup);
IntImpParGen::DeterminePosition(Pos2b,LIG_Domain,P2b,Lsup);
Determine_Transition_LC(Pos1b,Tan1,Norm1,T1b , Pos2b,Tan2,Norm2,T2b, Tol);
}
else if(Pos1b==IntRes2d_Head) {
Csup = CIRC_Domain.FirstParameter();
P1b = CIRC_Domain.FirstPoint();
Lsup = ElCLib::Parameter(Line,P1b);
ElCLib::CircleD2(Csup,CircleAxis,R,P1b,Tan1,Norm1);
ElCLib::LineD1(Lsup,LineAxis,P2b,Tan2);
IntImpParGen::DeterminePosition(Pos1b,CIRC_Domain,P1b,Csup);
IntImpParGen::DeterminePosition(Pos2b,LIG_Domain,P2b,Lsup);
Determine_Transition_LC(Pos1b,Tan1,Norm1,T1b , Pos2b,Tan2,Norm2,T2b, Tol);
}
else {
Csup=NormalizeOnCircleDomain(SolutionCircle[i].Bsup,CIRC_Domain);
}
IntRes2d_IntersectionPoint NewPoint2(P1b,Lsup,Csup,T2b,T1b,ReversedParameters());
if(((Abs(Csup-Cinf)*R > MaxTol) && (Abs(Lsup-Linf) > MaxTol))
|| (T1a.TransitionType() != T2a.TransitionType())) {
//-- Verifier egalement les transitions
IntRes2d_IntersectionSegment NewSeg(NewPoint1,NewPoint2
,Opposite,ReversedParameters());
Append(NewSeg);
}
else {
if(Pos1a!=IntRes2d_Middle || Pos2a!=IntRes2d_Middle) {
Insert(NewPoint1);
}
if(Pos1b!=IntRes2d_Middle || Pos2b!=IntRes2d_Middle) {
Insert(NewPoint2);
}
}
}
else {
//--Standard_Real Cmid=NormalizeOnCircleDomain(0.5*(SolutionCircle[i].Bsup+SolutionCircle[i].Binf)
//-- ,CIRC_Domain);
//--IntRes2d_IntersectionPoint NewPoint(P2a,0.5*(Linf+Lsup)
//-- ,Cmid
//-- ,T2a,T1a,ReversedParameters());
Insert(NewPoint1);
}
}
}
}
const IntRes2d_IntersectionPoint SegmentToPoint( const IntRes2d_IntersectionPoint& Pa
,const IntRes2d_Transition& T1a
,const IntRes2d_Transition& T2a
,const IntRes2d_IntersectionPoint& Pb
,const IntRes2d_Transition& T1b
,const IntRes2d_Transition& T2b) {
if((T1b.PositionOnCurve() == IntRes2d_Middle)
&& (T2b.PositionOnCurve() == IntRes2d_Middle)) {
return(Pa);
}
if((T1a.PositionOnCurve() == IntRes2d_Middle)
&& (T2a.PositionOnCurve() == IntRes2d_Middle)) {
return(Pb);
}
IntRes2d_Transition t1 = T1a;
IntRes2d_Transition t2 = T2a;
Standard_Real u1 = Pa.ParamOnFirst();
Standard_Real u2 = Pa.ParamOnSecond();
if(t1.PositionOnCurve() == IntRes2d_Middle) {
t1.SetPosition(T1b.PositionOnCurve());
u1 = Pb.ParamOnFirst();
}
if(t2.PositionOnCurve() == IntRes2d_Middle) {
t2.SetPosition(T2b.PositionOnCurve());
u2 = Pb.ParamOnSecond();
}
return(IntRes2d_IntersectionPoint(Pa.Value(),u1,u2,t1,t2,Standard_False));
}