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// File: BRepBlend_SurfPointEvolRadInv.cxx
// Created: Tue Jul 29 12:13:05 1997
// Author: Jerome LEMONIER
// <jlr@sgi64>
#include <BRepBlend_SurfPointEvolRadInv.ixx>
//=======================================================================
//function :
//purpose :
//=======================================================================
BRepBlend_SurfPointEvolRadInv::BRepBlend_SurfPointEvolRadInv
(const Handle(Adaptor3d_HSurface)& S,
const Handle(Adaptor3d_HCurve)& C,
const Handle(Law_Function)& Evol
) : surf(S), curv(C)
{ tevol=Evol;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
void BRepBlend_SurfPointEvolRadInv::Set(const Standard_Integer Choix)
{ choix = Choix;
switch (choix) {
case 1 :
case 2 :
sg1 = -1;
break;
case 3 :
case 4 :
sg1 = 1;
break;
default :
sg1 = -1;
break;
}
}
//=======================================================================
//function :
//purpose :
//=======================================================================
Standard_Integer BRepBlend_SurfPointEvolRadInv::NbEquations() const
{
return 3;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
Standard_Boolean BRepBlend_SurfPointEvolRadInv::Value(const math_Vector& X,math_Vector& F)
{
Standard_Real theD,norm,unsurnorm;
gp_Pnt ptcur,pts;
gp_Vec d1cur,d1u,d1v;
gp_XYZ nplan(0.,0.,0.),ns(0.,0.,0.),ref(0.,0.,0.);
curv->D1(X(1),ptcur,d1cur);
ray = sg1*tevol->Value(X(1));
nplan = d1cur.Normalized().XYZ();
theD = -(nplan.Dot(ptcur.XYZ()));
surf->D1(X(2),X(3),pts,d1u,d1v);
F(1) = nplan.Dot(point.XYZ()) + theD;
F(2) = nplan.Dot(pts.XYZ()) + theD;
ns = d1u.Crossed(d1v).XYZ();
norm = nplan.Crossed(ns).Modulus();
unsurnorm = 1./norm;
ns.SetLinearForm(nplan.Dot(ns),nplan, -1.,ns);
ns.Multiply(unsurnorm);
ref = pts.XYZ() - point.XYZ();
ref.SetLinearForm(ray,ns,ref);
F(3) = ref.SquareModulus() - ray*ray;
return Standard_True;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
Standard_Boolean BRepBlend_SurfPointEvolRadInv::Derivatives(const math_Vector& X,math_Matrix& D)
{
gp_Pnt ptcur,pts;
gp_Vec d1cur,d2cur,nplan,dnplan,d1u,d1v,d2u,d2v,duv;
Standard_Real dtheD, normd1cur, unsurnormd1cur,dray;
curv->D2(X(1),ptcur,d1cur,d2cur);
tevol->D1(X(1),ray,dray);
ray=sg1*ray;
dray=sg1*dray;
normd1cur = d1cur.Magnitude();
unsurnormd1cur = 1./normd1cur;
nplan = unsurnormd1cur * d1cur;
dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
dnplan.Multiply(unsurnormd1cur);
dtheD = - nplan.XYZ().Dot(d1cur.XYZ()) - dnplan.XYZ().Dot(ptcur.XYZ());
D(1,1) = dnplan.XYZ().Dot(point.XYZ()) + dtheD;
D(1,2) = D(1,3) = 0.;
surf->D2(X(2),X(3),pts,d1u,d1v,d2u,d2v,duv);
D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
D(2,2) = nplan.Dot(d1u);
D(2,3) = nplan.Dot(d1v);
gp_Vec nsurf = d1u.Crossed(d1v);
gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
gp_Vec dwnplancrosnsurf = dnplan.Crossed(nsurf);
gp_Vec dunplancrosnsurf = nplan.Crossed(dunsurf);
gp_Vec dvnplancrosnsurf = nplan.Crossed(dvnsurf);
Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
Standard_Real norm = sqrt(norm2);
Standard_Real unsurnorm = 1./norm;
Standard_Real raysurnorm = ray*unsurnorm;
Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
Standard_Real raysurnorm2 = ray*unsurnorm2;
Standard_Real dwnorm = unsurnorm*nplancrosnsurf.Dot(dwnplancrosnsurf);
Standard_Real dunorm = unsurnorm*nplancrosnsurf.Dot(dunplancrosnsurf);
Standard_Real dvnorm = unsurnorm*nplancrosnsurf.Dot(dvnplancrosnsurf);
Standard_Real nplandotnsurf = nplan.Dot(nsurf);
Standard_Real dwnplandotnsurf = dnplan.Dot(nsurf);
Standard_Real dunplandotnsurf = nplan.Dot(dunsurf);
Standard_Real dvnplandotnsurf = nplan.Dot(dvnsurf);
gp_Vec temp,dwtemp,dutemp,dvtemp;
temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
dwtemp.SetLinearForm(nplandotnsurf,dnplan,dwnplandotnsurf,nplan);
dutemp.SetLinearForm(dunplandotnsurf,nplan,-1.,dunsurf);
dvtemp.SetLinearForm(dvnplandotnsurf,nplan,-1.,dvnsurf);
gp_Vec ref,dwref,duref,dvref,corde(point,pts);
ref.SetLinearForm(raysurnorm,temp,corde);
dwref.SetLinearForm(raysurnorm,dwtemp,-raysurnorm2*dwnorm,temp);
dwref.SetLinearForm(1.,dwref,dray*unsurnorm,temp);
duref.SetLinearForm(raysurnorm,dutemp,-raysurnorm2*dunorm,temp,d1u);
dvref.SetLinearForm(raysurnorm,dvtemp,-raysurnorm2*dvnorm,temp,d1v);
ref.Add(ref);
D(3,1) = ref.Dot(dwref) - 2.*dray*ray;
D(3,2) = ref.Dot(duref);
D(3,3) = ref.Dot(dvref);
return Standard_True;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
Standard_Boolean BRepBlend_SurfPointEvolRadInv::Values(const math_Vector& X,math_Vector& F,math_Matrix& D)
{
gp_Pnt ptcur,pts;
gp_Vec d1cur,d2cur,nplan,dnplan,d1u,d1v,d2u,d2v,duv;
Standard_Real theD, dtheD, normd1cur, unsurnormd1cur,dray;
curv->D2(X(1),ptcur,d1cur,d2cur);
tevol->D1(X(1),ray,dray);
ray=sg1*ray;
dray=sg1*dray;
surf->D2(X(2),X(3),pts,d1u,d1v,d2u,d2v,duv);
normd1cur = d1cur.Magnitude();
unsurnormd1cur = 1./normd1cur;
nplan = unsurnormd1cur * d1cur;
theD = -(nplan.XYZ().Dot(ptcur.XYZ()));
F(1) = nplan.XYZ().Dot(point.XYZ()) + theD;
F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
dnplan.Multiply(unsurnormd1cur);
dtheD = - nplan.XYZ().Dot(d1cur.XYZ()) - dnplan.XYZ().Dot(ptcur.XYZ());
D(1,1) = dnplan.XYZ().Dot(point.XYZ()) + dtheD;
D(1,2) = D(1,3) = 0.;
D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
D(2,2) = nplan.Dot(d1u);
D(2,3) = nplan.Dot(d1v);
gp_Vec nsurf = d1u.Crossed(d1v);
gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
gp_Vec dwnplancrosnsurf = dnplan.Crossed(nsurf);
gp_Vec dunplancrosnsurf = nplan.Crossed(dunsurf);
gp_Vec dvnplancrosnsurf = nplan.Crossed(dvnsurf);
Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
Standard_Real norm = sqrt(norm2);
Standard_Real unsurnorm = 1./norm;
Standard_Real raysurnorm = ray*unsurnorm;
Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
Standard_Real raysurnorm2 = ray*unsurnorm2;
Standard_Real dwnorm = unsurnorm*nplancrosnsurf.Dot(dwnplancrosnsurf);
Standard_Real dunorm = unsurnorm*nplancrosnsurf.Dot(dunplancrosnsurf);
Standard_Real dvnorm = unsurnorm*nplancrosnsurf.Dot(dvnplancrosnsurf);
Standard_Real nplandotnsurf = nplan.Dot(nsurf);
Standard_Real dwnplandotnsurf = dnplan.Dot(nsurf);
Standard_Real dunplandotnsurf = nplan.Dot(dunsurf);
Standard_Real dvnplandotnsurf = nplan.Dot(dvnsurf);
gp_Vec temp,dwtemp,dutemp,dvtemp;
temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
dwtemp.SetLinearForm(nplandotnsurf,dnplan,dwnplandotnsurf,nplan);
dutemp.SetLinearForm(dunplandotnsurf,nplan,-1.,dunsurf);
dvtemp.SetLinearForm(dvnplandotnsurf,nplan,-1.,dvnsurf);
gp_Vec ref,dwref,duref,dvref,corde(point,pts);
ref.SetLinearForm(raysurnorm,temp,corde);
F(3) = ref.SquareMagnitude() - ray*ray;
dwref.SetLinearForm(raysurnorm,dwtemp,-raysurnorm2*dwnorm,temp);
dwref.SetLinearForm(1.,dwref,dray*unsurnorm,temp);
duref.SetLinearForm(raysurnorm,dutemp,-raysurnorm2*dunorm,temp,d1u);
dvref.SetLinearForm(raysurnorm,dvtemp,-raysurnorm2*dvnorm,temp,d1v);
ref.Add(ref);
D(3,1) = ref.Dot(dwref) - 2.*dray*ray;
D(3,2) = ref.Dot(duref);
D(3,3) = ref.Dot(dvref);
return Standard_True;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
void BRepBlend_SurfPointEvolRadInv::Set(const gp_Pnt& P)
{
point = P;
}
//=======================================================================
//function :
//purpose :
//=======================================================================
void BRepBlend_SurfPointEvolRadInv::GetTolerance(math_Vector& Tolerance,const Standard_Real Tol) const
{
Tolerance(1) = curv->Resolution(Tol);
Tolerance(2) = surf->UResolution(Tol);
Tolerance(3) = surf->VResolution(Tol);
}
//=======================================================================
//function :
//purpose :
//=======================================================================
void BRepBlend_SurfPointEvolRadInv::GetBounds(math_Vector& InfBound,math_Vector& SupBound) const
{
InfBound(1) = curv->FirstParameter();
SupBound(1) = curv->LastParameter();
InfBound(2) = surf->FirstUParameter();
SupBound(2) = surf->LastUParameter();
InfBound(3) = surf->FirstVParameter();
SupBound(3) = surf->LastVParameter();
}
//=======================================================================
//function :
//purpose :
//=======================================================================
Standard_Boolean BRepBlend_SurfPointEvolRadInv::IsSolution(const math_Vector& Sol,const Standard_Real Tol)
{
math_Vector valsol(1,3);
Value(Sol,valsol);
if (Abs(valsol(1)) <= Tol &&
Abs(valsol(2)) <= Tol &&
Abs(valsol(3)) <= 2*Tol*Abs(ray) ) {
return Standard_True;
}
return Standard_False;
}
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