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// File: IntAna_Quadric.cxx
// Created: Wed Jul 1 11:37:37 1992
// Author: Laurent BUCHARD
// <lbr@topsn3>
#ifndef DEB
#define No_Standard_RangeError
#define No_Standard_OutOfRange
#endif
#include <IntAna_Quadric.ixx>
#include <gp_Trsf.hxx>
#include <gp_Vec.hxx>
//----------------------------------------------------------------------
//--
//-- Equation generale des quadriques :
//--
//-- f(x,y,z) = CXX X**2 + CYY Y**2 + CZZ Z**2
//--
//-- + 2 ( CXY X Y + CXZ X Z + CYZ Y Z )
//--
//-- + 2 ( CX X + CY Y + CZ Z)
//--
//-- + CCte
//--
//--
//----------------------------------------------------------------------
//----------------------------------------------------------------------
//-- Quadric Vide
//----------------------------------------------------------------------
IntAna_Quadric::IntAna_Quadric(void) {
CXX=CYY=CZZ=CXY=CXZ=CYZ=CX=CY=CZ=0.0; CCte=1.0;
}
//----------------------------------------------------------------------
//-- Pln -----> Quadric
//--
//-- Coefficients sur gp_Pln retourne A,B,C,D
//-- avec f(x,y,z) = A x + B y + C z + D
//--
//-- que l on identifie a 2( CX x + CY y + CZ z ) + CCte
//----------------------------------------------------------------------
void IntAna_Quadric::SetQuadric(const gp_Pln& P) {
P.Coefficients(CX,CY,CZ,CCte);
CX*=0.5;
CY*=0.5;
CZ*=0.5;
CXX=CYY=CZZ=CXY=CXZ=CYZ=0.0;
}
IntAna_Quadric::IntAna_Quadric(const gp_Pln& P) {
P.Coefficients(CX,CY,CZ,CCte);
CX*=0.5;
CY*=0.5;
CZ*=0.5;
CXX=CYY=CZZ=CXY=CXZ=CYZ=0.0;
}
//----------------------------------------------------------------------
//-- Cylinder -----> Quadric
//----------------------------------------------------------------------
void IntAna_Quadric::SetQuadric(const gp_Cylinder& Cyl) {
Cyl.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
IntAna_Quadric::IntAna_Quadric(const gp_Cylinder& Cyl) {
Cyl.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
//----------------------------------------------------------------------
//-- Cone -----> Quadric
//----------------------------------------------------------------------
IntAna_Quadric::IntAna_Quadric(const gp_Cone& Cone) {
Cone.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
void IntAna_Quadric::SetQuadric(const gp_Cone& Cone) {
Cone.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
//----------------------------------------------------------------------
//-- Sphere -----> Quadric
//----------------------------------------------------------------------
void IntAna_Quadric::SetQuadric(const gp_Sphere& Sph) {
Sph.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
IntAna_Quadric::IntAna_Quadric(const gp_Sphere& Sph) {
Sph.Coefficients(CXX,CYY,CZZ,CXY,CXZ,CYZ,CX,CY,CZ,CCte);
}
//----------------------------------------------------------------------
//-- Returns the Coefficients of the Quadric
//----------------------------------------------------------------------
void IntAna_Quadric::Coefficients(Standard_Real& _CXX,Standard_Real& _CYY,Standard_Real& _CZZ,
Standard_Real& _CXY,Standard_Real& _CXZ,Standard_Real& _CYZ,
Standard_Real& _CX, Standard_Real& _CY, Standard_Real& _CZ,
Standard_Real& _CCte) const
{
_CXX=CXX; _CYY=CYY; _CZZ=CZZ;
_CXY=CXY; _CXZ=CXZ; _CYZ=CYZ;
_CX=CX; _CY=CY; _CZ=CZ;
_CCte=CCte;
}
//----------------------------------------------------------------------
//-- Computes the Coefficients in a new coordinate system
//----------------------------------------------------------------------
void IntAna_Quadric::NewCoefficients( Standard_Real& _CXX,Standard_Real& _CYY,Standard_Real& _CZZ
,Standard_Real& _CXY,Standard_Real& _CXZ,Standard_Real& _CYZ
,Standard_Real& _CX, Standard_Real& _CY, Standard_Real& _CZ
,Standard_Real& _CCte
,const gp_Ax3& Axis) const
{
Standard_Real t11,t12,t13,t14; // x = t11 X + t12 Y + t13 Z + t14
Standard_Real t21,t22,t23,t24; // y = t21 X + t22 Y + t23 Z + t24
Standard_Real t31,t32,t33,t34; // z = t31 X + t32 Y + t33 Z + t34
// = X DirX + Y DirY + Z DirZ + Loc
Standard_Real Cxx,Cyy,Czz,Cxy,Cxz,Cyz,Cx,Cy,Cz,Ccte;
Axis.XDirection();
Axis.YDirection();
Axis.Direction();
gp_Trsf Trans;
Trans.SetTransformation(Axis);
Trans.Invert();
t11=Trans.Value(1,1); t12=Trans.Value(1,2); t13=Trans.Value(1,3); t14=Trans.Value(1,4);
t21=Trans.Value(2,1); t22=Trans.Value(2,2); t23=Trans.Value(2,3); t24=Trans.Value(2,4);
t31=Trans.Value(3,1); t32=Trans.Value(3,2); t33=Trans.Value(3,3); t34=Trans.Value(3,4);
// P0(x,y,z)=_CXX x x + _CYY y y + ... + _CCte =0 (x,y,z "absolute" coordinates)
// and P1(X(x,y,z),Y(x,y,z),Z(x,y,z))=P0(x,y,z)
//
// with P1(X,Y,Z)= Cxx X X + Cyy Y Y + Czz Z Z + 2 Cxy X Y ... + Ccte
// = _CXX x x + _CYY y y + ... + _CCte
Standard_Real t11_P2=t11*t11; Standard_Real t21_P2=t21*t21; Standard_Real t31_P2=t31*t31;
Standard_Real t12_P2=t12*t12; Standard_Real t22_P2=t22*t22; Standard_Real t32_P2=t32*t32;
Standard_Real t13_P2=t13*t13; Standard_Real t23_P2=t23*t23; Standard_Real t33_P2=t33*t33;
Standard_Real t14_P2=t14*t14; Standard_Real t24_P2=t24*t24; Standard_Real t34_P2=t34*t34;
Ccte = ((_CCte)
+ t14_P2* (_CXX)
+ t24_P2* (_CYY)
+ t34_P2* (_CZZ)
+ 2.0 * ( t14*( (_CX)
+t24* (_CXY)
+t34* (_CXZ))
+t24*( (_CY)
+t34* (_CYZ))
+t34* (_CZ)));
Cxx = ( t11_P2* (_CXX)
+ t21_P2* (_CYY)
+ t31_P2* (_CZZ)
+ 2.0*( t11*( t21* (_CXY)
+t31* (_CXZ))
+t21*t31* (_CYZ)));
Cyy = (t12_P2* (_CXX)
+ t22_P2* (_CYY)
+ t32_P2* (_CZZ)
+ 2.0*( t12*( t22* (_CXY)
+t32* (_CXZ))
+t22*t32* (_CYZ)));
Czz = (t13_P2* (_CXX)
+ t33_P2* (_CZZ)
+ t23_P2* (_CYY)
+ 2.0*( t13*( t23* (_CXY)
+t33* (_CXZ))
+t23*t33* (_CYZ)));
Cz = (t13* (_CX)
+ t13*( t14* (_CXX)
+ t24* (_CXY)
+ t34* (_CXZ))
+ t14*( t23* (_CXY)
+t33* (_CXZ))
+ t23*( (_CY)
+t24* (_CYY)
+t34* (_CYZ))
+ t33*( t24* (_CYZ)
+(_CZ)
+ t34* (_CZZ)));
Cx = (t11* ((_CX)
+t14* (_CXX)
+t24* (_CXY)
+t34* (_CXZ))
+ t14*( t21* (_CXY)
+t31* (_CXZ))
+ t21*( (_CY)
+t24* (_CYY)
+t34* (_CYZ))
+ t31*( t24* (_CYZ)
+(_CZ)
+t34* (_CZZ)));
Cxy = (t11*( t12* (_CXX)
+t22* (_CXY)
+t32* (_CXZ))
+ t12*( t21* (_CXY)
+t31* (_CXZ))
+ t21*( t22* (_CYY)
+t32* (_CYZ))
+ t31*( t22* (_CYZ)
+t32* (_CZZ)));
Cxz = (t11*( t13* (_CXX)
+t23* (_CXY)
+t33* (_CXZ))
+ t13*( t21* (_CXY)
+t31* (_CXZ))
+ t21*( t23* (_CYY)
+t33* (_CYZ))
+ t31*( t23* (_CYZ)
+t33* (_CZZ)));
Cy = (t12* ( (_CX)
+t14* (_CXX)
+t24* (_CXY)
+t34* (_CXZ))
+ t14*( t22* (_CXY)
+t32* (_CXZ))
+ t22*( (_CY)
+t24* (_CYY)
+t34* (_CYZ))
+ t32*( (_CZ)
+ t24* (_CYZ)
+ t34* (_CZZ)));
Cyz = (t12*( t13* (_CXX)
+t23* (_CXY)
+t33* (_CXZ))
+ t13*( t22* (_CXY)
+t32* (_CXZ))
+ t22*( t23* (_CYY)
+t33* (_CYZ))
+ t32*( t23* (_CYZ)
+t33* (_CZZ)));
_CXX=Cxx; _CYY=Cyy; _CZZ=Czz; _CX=Cx; _CY=Cy; _CZ=Cz;
_CXY=Cxy; _CXZ=Cxz; _CYZ=Cyz; _CCte=Ccte;
}
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