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// File: LocalAnalysis_SurfaceContinuity.cxx
// Created: Mon Sep 9 15:01:49 1996
// Author: Herve LOUESSARD
// <hl1@sgi38>
#include <LocalAnalysis_SurfaceContinuity.ixx>
#include <GeomLProp_SLProps.hxx>
#include <gp.hxx>
#include <gp_Pnt.hxx>
#include <gp_Vec.hxx>
#include <gp_Dir.hxx>
#include <gp_Pnt2d.hxx>
#include <Geom_Surface.hxx>
#include <Geom2d_Curve.hxx>
/*********************************************************************************/
/*********************************************************************************/
void LocalAnalysis_SurfaceContinuity::SurfC0 (const GeomLProp_SLProps& Surf1,
const GeomLProp_SLProps& Surf2
)
{ myContC0=(Surf1.Value()).Distance(Surf2.Value());
}
/*********************************************************************************/
void LocalAnalysis_SurfaceContinuity::SurfC1( GeomLProp_SLProps& Surf1,
GeomLProp_SLProps & Surf2)
{ gp_Vec V1u, V2u, V1v, V2v;
Standard_Real norm1u, norm2u, norm1v, norm2v,angu,angv;
V1u = Surf1.D1U();
V2u = Surf2.D1U();
V1v = Surf1.D1V();
V2v = Surf2.D1V();
norm1u = V1u.Magnitude();
norm2u = V2u.Magnitude();
norm1v = V1v.Magnitude();
norm2v = V2v.Magnitude();
if ((norm1u>myepsnul )&&(norm2u>myepsnul )&&(norm1v>myepsnul)
&&(norm2v>myepsnul))
{ if (norm1u >= norm2u )
myLambda1U= norm2u / norm1u;
else myLambda1U = norm2u / norm1u;
if (norm1v >= norm2v )
myLambda1V= norm2v / norm1v;
else myLambda1V = norm2v / norm1v;
angu= V1u.Angle(V2u);
if (angu>PI/2) myContC1U=PI-angu;
else myContC1U=angu;
angv= V1v.Angle(V2v);
if (angv>PI/2) myContC1V=PI-angv;
else myContC1V=angv; }
else {myIsDone = Standard_False;
myErrorStatus=LocalAnalysis_NullFirstDerivative;}
}
/*********************************************************************************/
void LocalAnalysis_SurfaceContinuity::SurfC2( GeomLProp_SLProps& Surf1,
GeomLProp_SLProps& Surf2)
{ gp_Vec V11u, V12u, V21u, V22u, V11v, V12v, V21v, V22v;
Standard_Real norm11u, norm12u, norm21u, norm22u, norm11v, norm12v, norm21v, norm22v;
Standard_Real ang;
V11u = Surf1.D1U();
V12u = Surf2.D1U();
V21u = Surf1.D2U();
V22u = Surf2.D2U();
norm11u = V11u.Magnitude();
norm12u = V12u.Magnitude();
norm21u = V21u.Magnitude();
norm22u = V22u.Magnitude();
if ((norm11u>myepsnul)&&(norm12u>myepsnul))
{ if( (norm21u>myepsnul)&&(norm22u>myepsnul))
{ if (norm11u >= norm12u )
{myLambda1U= norm12u / norm11u;
myLambda2U = norm22u /norm21u;}
else {myLambda1U = norm11u / norm12u;
myLambda2U = norm21u / norm22u;}
ang=V21u.Angle(V22u);
if(ang>PI/2) myContC2U=PI-ang;
else myContC2U=ang; }
else
{ myIsDone=Standard_False;
myErrorStatus=LocalAnalysis_NullSecondDerivative;}
}
else { myIsDone=Standard_False;
myErrorStatus=LocalAnalysis_NullFirstDerivative;}
V11v = Surf1.D1V();
V12v = Surf2.D1V();
V21v = Surf1.D2V();
V22v = Surf2.D2V();
norm11v = V11v.Magnitude();
norm12v = V12v.Magnitude();
norm21v = V21v.Magnitude();
norm22v = V22v.Magnitude();
if ((norm11v>myepsnul)&&(norm12v>myepsnul))
{if ((norm21v>myepsnul)&&(norm22v>myepsnul))
{if ( norm11v >= norm12v )
{myLambda1V= norm12v / norm11v;
myLambda2V= norm22v / norm21v;}
else{ myLambda1V = norm11v / norm12v;
myLambda2V = norm21v / norm22v;}
ang= V21v.Angle(V22v);
if (ang>PI/2) myContC2V=PI-ang;
else myContC2V=ang;
}
else{ myIsDone= Standard_False;
myErrorStatus=LocalAnalysis_NullSecondDerivative; }
}
else{ myIsDone=Standard_False;
myErrorStatus=LocalAnalysis_NullFirstDerivative;}
}
/*********************************************************************************/
void LocalAnalysis_SurfaceContinuity::SurfG1( GeomLProp_SLProps& Surf1,
GeomLProp_SLProps& Surf2)
{ if (Surf1.IsNormalDefined()&&Surf2.IsNormalDefined())
{ gp_Dir D1 = Surf1.Normal();
gp_Dir D2 = Surf2.Normal();
Standard_Real ang=D1.Angle(D2);
if (ang>PI/2) myContG1= PI-ang;
else myContG1=ang;
}
else{ myIsDone=Standard_False;
myErrorStatus=LocalAnalysis_NormalNotDefined;}
}
/*********************************************************************************/
void LocalAnalysis_SurfaceContinuity::SurfG2 ( GeomLProp_SLProps& Surf1,
GeomLProp_SLProps & Surf2)
{ gp_Dir DMIN1, DMIN2, DMAX1, DMAX2;
Standard_Real RMIN1,RMIN2,RMAX1,RMAX2;
Standard_Real x1, x2, y1, y2, z1, z2;
if ( Surf1.IsCurvatureDefined() && Surf2.IsCurvatureDefined())
{
Surf1.CurvatureDirections(DMIN1, DMAX1);
Surf2.CurvatureDirections(DMIN2, DMAX2);
DMIN1.Coord(x1, y1, z1);
DMAX1.Coord(x2, y2, z2);
gp_Dir MCD1( (Abs(x1)+Abs(x2))/2, (Abs(y1)+Abs(y2))/2, (Abs(z1)+Abs(z2))/2 );
DMIN2.Coord(x1, y1, z1);
DMAX2.Coord(x2, y2, z2);
gp_Dir MCD2( (Abs(x1)+Abs(x2))/2, (Abs(y1)+Abs(y2))/2, (Abs(z1)+Abs(z2))/2 );
myAlpha = MCD1.Angle( MCD2 );
RMIN1 = Surf1.MinCurvature();
RMAX1 = Surf1.MaxCurvature();
RMIN2 = Surf2.MinCurvature();
RMAX2 = Surf2.MaxCurvature();
myETA1 = (RMIN1+RMAX1)/2;
myETA2 = (RMIN2+RMAX2)/2;
myETA = (myETA1+myETA2)/2;
myZETA1 = (RMAX1-RMIN1)/2;
myZETA2 = (RMAX2-RMIN2)/2;
myZETA = (myZETA1+myZETA2)/2;
Standard_Real DETA,DZETA;
DETA = ( myETA1- myETA2)/2;
DZETA =( myZETA1- myZETA2)/2;
myGap= Abs(DETA) + sqrt( DZETA*DZETA*Cos(myAlpha)*Cos(myAlpha)
+ myZETA*myZETA*Sin(myAlpha)*Sin(myAlpha));
}
else {myIsDone = Standard_False;
myErrorStatus=LocalAnalysis_CurvatureNotDefined;}
}
LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity(const Standard_Real EpsNul,
const Standard_Real EpsC0,
const Standard_Real EpsC1,
const Standard_Real EpsC2,
const Standard_Real EpsG1,
const Standard_Real Percent,
const Standard_Real Maxlen)
{ myepsnul=EpsNul;
myepsC0= EpsC0;
myepsC1= EpsC1;
myepsC2= EpsC2;
myepsG1= EpsG1;
myperce= Percent;
mymaxlen= Maxlen;
myIsDone = Standard_True;
}
void LocalAnalysis_SurfaceContinuity::ComputeAnalysis(GeomLProp_SLProps& Surf1,
GeomLProp_SLProps& Surf2,
const GeomAbs_Shape Order)
{ myTypeCont = Order;
switch ( Order )
{ case GeomAbs_C0 : {
SurfC0(Surf1, Surf2);
}
break;
case GeomAbs_C1 : {
SurfC0(Surf1, Surf2);
SurfC1(Surf1, Surf2);}
break;
case GeomAbs_C2 : {
SurfC0(Surf1, Surf2);
SurfC1(Surf1, Surf2);
SurfC2(Surf1, Surf2);}
break;
case GeomAbs_G1 : {
SurfC0(Surf1, Surf2);
SurfG1(Surf1, Surf2);}
break;
case GeomAbs_G2 : {
SurfC0(Surf1, Surf2);
SurfG1(Surf1, Surf2);
SurfG2(Surf1, Surf2);}
break;
default : {}
}
}
/*********************************************************************************/
LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity( const Handle(Geom_Surface)& Surf1,
const Standard_Real u1, const Standard_Real v1,
const Handle(Geom_Surface)& Surf2, const Standard_Real u2,
const Standard_Real v2, const GeomAbs_Shape Ordre,
const Standard_Real EpsNul,
const Standard_Real EpsC0 ,
const Standard_Real EpsC1 ,
const Standard_Real EpsC2,
const Standard_Real EpsG1,
const Standard_Real Percent,
const Standard_Real Maxlen )
{ myTypeCont = Ordre;
myepsnul=EpsNul;
myepsC0= EpsC0;
myepsC1= EpsC1;
myepsC2= EpsC2;
myepsG1= EpsG1;
myperce= Percent;
mymaxlen= Maxlen;
myIsDone = Standard_True;
switch ( Ordre )
{ case GeomAbs_C0 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 0, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 0, myepsnul);
SurfC0(Surfa1, Surfa2);
}
break;
case GeomAbs_C1 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfC1(Surfa1, Surfa2);}
break;
case GeomAbs_C2 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfC1(Surfa1, Surfa2);
SurfC2(Surfa1, Surfa2);}
break;
case GeomAbs_G1 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfG1(Surfa1, Surfa2);}
break;
case GeomAbs_G2 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfG1(Surfa1, Surfa2);
SurfG2(Surfa1, Surfa2);}
break;
default : {}
}
}
/*********************************************************************************/
LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity(const Handle(Geom2d_Curve)& curv1,
const Handle(Geom2d_Curve)& curv2, const Standard_Real U,
const Handle(Geom_Surface)& Surf1 ,
const Handle(Geom_Surface)& Surf2,
const GeomAbs_Shape Ordre,
const Standard_Real EpsNul,
const Standard_Real EpsC0 ,
const Standard_Real EpsC1 ,
const Standard_Real EpsC2,
const Standard_Real EpsG1,
const Standard_Real Percent,
const Standard_Real Maxlen )
{ Standard_Real pard1, parf1, pard2, parf2, u1, v1, u2, v2;
myTypeCont = Ordre;
myepsnul=EpsNul;
myepsC0= EpsC0;
myepsC1= EpsC1;
myepsC2= EpsC2;
myepsG1= EpsG1;
myperce= Percent;
mymaxlen= Maxlen;
myIsDone = Standard_True;
pard1 = curv1->FirstParameter();
pard2 = curv2->FirstParameter();
parf1 = curv1->LastParameter();
parf2 = curv2->LastParameter();
if (!(((U <= parf1) && (U >= pard1)) &&((U <= parf2) && (U >= pard2))) ) myIsDone = Standard_False;
else
{ gp_Pnt2d pt1 = curv1->Value(U);
gp_Pnt2d pt2 = curv2->Value(U);
pt1.Coord(u1, v1);
pt2.Coord(u2, v2);
switch ( Ordre )
{ case GeomAbs_C0 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 0, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 0, myepsnul);
SurfC0(Surfa1, Surfa2);
}
break;
case GeomAbs_C1 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfC1(Surfa1, Surfa2);}
break;
case GeomAbs_C2 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfC1(Surfa1, Surfa2);
SurfC2(Surfa1, Surfa2);}
break;
case GeomAbs_G1 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfG1(Surfa1, Surfa2);}
break;
case GeomAbs_G2 : {
GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
SurfC0(Surfa1, Surfa2);
SurfG1(Surfa1, Surfa2);
SurfG2(Surfa1, Surfa2);}
break;
default : {}
}
}
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC0() const
{ if (!myIsDone) { StdFail_NotDone::Raise();}
if ( myContC0 <= myepsC0 )
return Standard_True;
else return Standard_False;
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC1() const
{ if (!myIsDone) { StdFail_NotDone::Raise();}
if ( IsC0 () && (myContC1U <= myepsC1) && (myContC1V <= myepsC1))
return Standard_True;
else return Standard_False;
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC2() const
{ Standard_Real eps1u, eps1v, eps2u, eps2v;
if (!myIsDone) { StdFail_NotDone::Raise();}
if ( IsC1())
{ eps1u = 0.5*myepsC1*myepsC1*myLambda1U;
eps1v = 0.5*myepsC1*myepsC1*myLambda1V;
eps2u = 0.5*myepsC2*myepsC2*myLambda2U;
eps2v = 0.5*myepsC2*myepsC2*myLambda2V;
if ((myContC2U < myepsC2) && (myContC2V < myepsC2))
{ if (Abs(myLambda1U*myLambda1U-myLambda2U) <= (eps1u*eps1u+eps2u))
if (Abs(myLambda1V*myLambda1V-myLambda2V) <= (eps1v*eps1v+eps2v))
return Standard_True;
else return Standard_False;
else return Standard_False;
}
else return Standard_False;
}
else return Standard_False;
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsG1() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
if ( IsC0 () &&( myContG1 <= myepsG1))
return Standard_True;
else return Standard_False;
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsG2()const
{ Standard_Real EPSNL;
Standard_Integer itype;
if (!myIsDone) { StdFail_NotDone::Raise();}
itype =0;
EPSNL= 8*myepsC0/(mymaxlen*mymaxlen);
if ( IsG1())
{ if ( ( Abs(myETA)< EPSNL) && ( Abs(myZETA)< EPSNL))
return Standard_True;
if ( ( Abs(myZETA1)< EPSNL) && ( Abs(myZETA2)< EPSNL))
itype =1;
else if ( ( Abs(myETA1)< EPSNL) && ( Abs(myETA2)< EPSNL))
itype =1;
else if ((Abs(Abs(myZETA)-Abs(myETA))) < EPSNL)
itype =1;
else if ((myETA1<myZETA1)&&(myETA2<myZETA2))
itype =1;
else if ((myETA1>myZETA1)&&(myETA2>myZETA2))
itype =1;
if (itype == 1)
{
if (( myETA >= (2*myZETA))&&(myGap<=(myperce*(myETA-myZETA)))) return Standard_True;
if (( myZETA>= myETA) && ( myGap<= (myperce*myZETA))) return Standard_True;
if (( myZETA<= myETA) && ( myETA <= (2*myZETA)) && (myGap <= (myperce * myETA)))
return Standard_True;
else return Standard_False;
}
else return Standard_False;
}
else return Standard_False;
}
/*********************************************************************************/
GeomAbs_Shape LocalAnalysis_SurfaceContinuity::ContinuityStatus() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return (myTypeCont);
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C0Value() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContC0 );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C1UAngle() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContC1U );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C1VAngle() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContC1V );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C2UAngle() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContC2U );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C2VAngle() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContC2V );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::G1Angle() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myContG1 );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C1URatio() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myLambda1U );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C2URatio() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myLambda2U );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C1VRatio() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myLambda1V );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::C2VRatio() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myLambda2V );
}
/*********************************************************************************/
Standard_Real LocalAnalysis_SurfaceContinuity::G2CurvatureGap() const
{
if (!myIsDone) { StdFail_NotDone::Raise();}
return ( myGap );
}
/*********************************************************************************/
Standard_Boolean LocalAnalysis_SurfaceContinuity::IsDone() const
{ return ( myIsDone );
}
/*********************************************************************************/
LocalAnalysis_StatusErrorType LocalAnalysis_SurfaceContinuity::StatusError() const
{
return myErrorStatus;
}
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