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// File: Geom_SphericalSurface.cxx
// Created: Wed Mar 10 10:23:09 1993
// Author: JCV
// <fid@phylox>
// Copyright: Matra Datavision 1993
//File Geom_SphericalSurface.cxx, JCV 17/01/91
#include <Geom_SphericalSurface.ixx>
#include <gp_Circ.hxx>
#include <gp_XYZ.hxx>
#include <ElSLib.hxx>
#include <Geom_Circle.hxx>
#include <Geom_TrimmedCurve.hxx>
#include <Standard_ConstructionError.hxx>
#include <Standard_RangeError.hxx>
typedef Geom_Circle Circle;
typedef Geom_SphericalSurface SphericalSurface;
typedef Handle(Geom_SphericalSurface) Handle(SphericalSurface);
typedef Handle(Geom_Curve) Handle(Curve);
typedef Handle(Geom_Circle) Handle(Circle);
typedef gp_Ax2 Ax2;
typedef gp_Ax3 Ax3;
typedef gp_Circ Circ;
typedef gp_Dir Dir;
typedef gp_Pnt Pnt;
typedef gp_Trsf Trsf;
typedef gp_XYZ XYZ;
typedef gp_Vec Vec;
//=======================================================================
//function : Copy
//purpose :
//=======================================================================
Handle(Geom_Geometry) Geom_SphericalSurface::Copy () const {
Handle(SphericalSurface) Cs;
Cs = new SphericalSurface (pos, radius);
return Cs;
}
//=======================================================================
//function : Geom_SphericalSurface
//purpose :
//=======================================================================
Geom_SphericalSurface::Geom_SphericalSurface (const Ax3& A, const Standard_Real R)
: radius (R) {
if (R < 0.0) Standard_ConstructionError::Raise();
pos = A;
}
//=======================================================================
//function : Geom_SphericalSurface
//purpose :
//=======================================================================
Geom_SphericalSurface::Geom_SphericalSurface (const gp_Sphere& S)
:radius (S.Radius()) {
pos = S.Position();
}
//=======================================================================
//function : UReversedParameter
//purpose :
//=======================================================================
Standard_Real Geom_SphericalSurface::UReversedParameter( const Standard_Real U) const
{
return (2.*PI - U);
}
//=======================================================================
//function : VReversedParameter
//purpose :
//=======================================================================
Standard_Real Geom_SphericalSurface::VReversedParameter( const Standard_Real V) const
{
return (-V);
}
//=======================================================================
//function : Area
//purpose :
//=======================================================================
Standard_Real Geom_SphericalSurface::Area () const
{return 4.0 * PI * radius * radius;}
//=======================================================================
//function : Radius
//purpose :
//=======================================================================
Standard_Real Geom_SphericalSurface::Radius () const
{ return radius; }
//=======================================================================
//function : IsUClosed
//purpose :
//=======================================================================
Standard_Boolean Geom_SphericalSurface::IsUClosed () const
{ return Standard_True; }
//=======================================================================
//function : IsVClosed
//purpose :
//=======================================================================
Standard_Boolean Geom_SphericalSurface::IsVClosed () const
{ return Standard_False; }
//=======================================================================
//function : IsUPeriodic
//purpose :
//=======================================================================
Standard_Boolean Geom_SphericalSurface::IsUPeriodic () const
{ return Standard_True; }
//=======================================================================
//function : IsVPeriodic
//purpose :
//=======================================================================
Standard_Boolean Geom_SphericalSurface::IsVPeriodic () const
{ return Standard_False; }
//=======================================================================
//function : SetRadius
//purpose :
//=======================================================================
void Geom_SphericalSurface::SetRadius (const Standard_Real R) {
if (R < 0.0) { Standard_ConstructionError::Raise(); }
radius = R;
}
//=======================================================================
//function : SetSphere
//purpose :
//=======================================================================
void Geom_SphericalSurface::SetSphere (const gp_Sphere& S) {
radius = S.Radius();
pos = S.Position();
}
//=======================================================================
//function : Bounds
//purpose :
//=======================================================================
void Geom_SphericalSurface::Bounds (Standard_Real& U1, Standard_Real& U2,
Standard_Real& V1, Standard_Real& V2) const {
U1 = 0.0;
U2 = PI * 2.0;
V1 = -PI / 2.0;
V2 = PI / 2.0;
}
//=======================================================================
//function : Coefficients
//purpose :
//=======================================================================
void Geom_SphericalSurface::Coefficients (Standard_Real& A1, Standard_Real& A2, Standard_Real& A3,
Standard_Real& B1, Standard_Real& B2, Standard_Real& B3,
Standard_Real& C1, Standard_Real& C2, Standard_Real& C3,
Standard_Real& D ) const {
// Dans le repere local de la sphere :
// X*X + Y*Y + Z*Z - radius * radius = 0
Trsf T;
T.SetTransformation (pos);
Standard_Real T11 = T.Value (1, 1);
Standard_Real T12 = T.Value (1, 2);
Standard_Real T13 = T.Value (1, 3);
Standard_Real T14 = T.Value (1, 4);
Standard_Real T21 = T.Value (2, 1);
Standard_Real T22 = T.Value (2, 2);
Standard_Real T23 = T.Value (2, 3);
Standard_Real T24 = T.Value (2, 4);
Standard_Real T31 = T.Value (3, 1);
Standard_Real T32 = T.Value (3, 2);
Standard_Real T33 = T.Value (3, 3);
Standard_Real T34 = T.Value (3, 4);
A1 = T11 * T11 + T21 * T21 + T31 * T31;
A2 = T12 * T12 + T22 * T22 + T32 * T32;
A3 = T13 * T13 + T23 * T23 + T33 * T33;
B1 = T11 * T12 + T21 * T22 + T31 * T32;
B2 = T11 * T13 + T21 * T23 + T31 * T33;
B3 = T12 * T13 + T22 * T23 + T32 * T33;
C1 = T11 * T14 + T21 * T24 + T31 * T34;
C2 = T12 * T14 + T22 * T24 + T32 * T34;
C3 = T13 * T14 + T23 * T24 + T33 * T34;
D = T14 * T14 + T24 * T24 + T34 * T34 - radius * radius;
}
//=======================================================================
//function : D0
//purpose :
//=======================================================================
void Geom_SphericalSurface::D0 (const Standard_Real U, const Standard_Real V, Pnt& P) const
{
ElSLib::SphereD0(U,V,pos,radius,P);
}
//=======================================================================
//function : D1
//purpose :
//=======================================================================
void Geom_SphericalSurface::D1 (const Standard_Real U, const Standard_Real V ,
Pnt& P, Vec& D1U, Vec& D1V
) const
{
ElSLib::SphereD1 (U, V, pos, radius, P ,D1U, D1V);
}
//=======================================================================
//function : D2
//purpose :
//=======================================================================
void Geom_SphericalSurface::D2 (const Standard_Real U, const Standard_Real V,
Pnt& P,
Vec& D1U, Vec& D1V,
Vec& D2U, Vec& D2V, Vec& D2UV ) const
{
ElSLib::SphereD2 (U, V, pos, radius, P, D1U, D1V, D2U, D2V, D2UV);
}
//=======================================================================
//function : D3
//purpose :
//=======================================================================
void Geom_SphericalSurface::D3 (const Standard_Real U, const Standard_Real V,
Pnt& P,
Vec& D1U, Vec& D1V,
Vec& D2U, Vec& D2V, Vec& D2UV,
Vec& D3U, Vec& D3V, Vec& D3UUV, Vec& D3UVV
) const
{
ElSLib::SphereD3 (U, V, pos, radius, P, D1U, D1V, D2U, D2V,
D2UV, D3U, D3V, D3UUV, D3UVV);
}
//=======================================================================
//function : DN
//purpose :
//=======================================================================
Vec Geom_SphericalSurface::DN (const Standard_Real U, const Standard_Real V,
const Standard_Integer Nu, const Standard_Integer Nv) const {
Standard_RangeError_Raise_if (Nu + Nv < 1 || Nu < 0 || Nv <0, " ");
return ElSLib::SphereDN (U, V, pos, radius, Nu, Nv);
}
//=======================================================================
//function : Sphere
//purpose :
//=======================================================================
gp_Sphere Geom_SphericalSurface::Sphere () const {
return gp_Sphere (pos, radius);
}
//=======================================================================
//function : UIso
//purpose :
//=======================================================================
Handle(Curve) Geom_SphericalSurface::UIso (const Standard_Real U) const
{
Handle(Geom_Circle) GC = new Geom_Circle(ElSLib::SphereUIso(pos,radius,U));
Handle(Geom_TrimmedCurve) iso = new Geom_TrimmedCurve(GC,-PI/2.,PI/2);
return iso;
}
//=======================================================================
//function : VIso
//purpose :
//=======================================================================
Handle(Curve) Geom_SphericalSurface::VIso (const Standard_Real V) const
{
Handle(Geom_Circle)
GC = new Geom_Circle(ElSLib::SphereVIso(pos,radius,V));
return GC;
}
//=======================================================================
//function : Volume
//purpose :
//=======================================================================
Standard_Real Geom_SphericalSurface::Volume () const {
return (4.0 * PI * radius * radius * radius)/3.0;
}
//=======================================================================
//function : Transform
//purpose :
//=======================================================================
void Geom_SphericalSurface::Transform (const Trsf& T) {
radius = radius * Abs(T.ScaleFactor());
pos.Transform (T);
}
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