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occt/src/IntAna/IntAna_Quadric.cxx
abv d5f74e42d6 0024624: Lost word in license statement in source files
License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast
Wrong license statements corrected in several files.
Copyright and license statements added in XSD and GLSL files.
Copyright year updated in some files.
Obsolete documentation files removed from DrawResources.
2014-02-20 16:15:17 +04:00

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C++

// Created on: 1992-07-01
// Created by: Laurent BUCHARD
// Copyright (c) 1992-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.
#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;
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;
}