OpenCascade/occt
1
0
Fork 0
mirror of https://git.dev.opencascade.org/repos/occt.git synced 2025-06-20 11:54:07 +03:00
Code
occt/src/gp/gp_Torus.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

216 lines
11 KiB
C++
Raw Blame History

// Copyright (c) 1995-1999 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.
#include <gp_Torus.ixx>
#include <gp.hxx>
#include <Standard_ConstructionError.hxx>
#include <Standard_DimensionError.hxx>
void gp_Torus::Coefficients (TColStd_Array1OfReal& Coef) const
{
// Dans le repere local du tore :
// X*X + Y*Y + Z*Z - 2.0 * majorRadius * sqrt (X*X + Y*Y)
// - minorRadius * minorRadius + majorRadius * majorRadius = 0.0
// X**4 + Y **4 + 2.0 * (X*Y)**2 + 2.0 * (X*Z)**2 + 2.0 * (Y*Z)**2 -
// 2.0 * (majorRadius + minorRadius) * (X**2 + Y**2) +
// 2.0 * (majorRadius - minorRadius) * Z**2 - 2.0 *
// majorRadius * minorRadius = 0.0
Standard_Integer Low = Coef.Lower();
Standard_DimensionError_Raise_if (Coef.Length() < 31, " ");
gp_Trsf T;
Standard_Real SumRadius = (majorRadius * majorRadius +
minorRadius * minorRadius);
Standard_Real SubRadius = (majorRadius * majorRadius -
minorRadius * minorRadius);
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);
Coef(Low) = Pow (T11, 4) + Pow (T21, 4) + Pow(T31, 4) +
2.0 * (T11 * T11 * T21 * T21 + T11 * T11 * T31 * T31 +
T21 * T21 * T31 * T31);
Coef(Low+1) = Pow (T12, 4) + Pow (T22, 4) + Pow(T32, 4) +
2.0 * (T12 * T12 * T22 * T22 + T12 * T12 * T32 * T32 +
T22 * T22 * T32 * T32);
Coef(Low+2) = Pow (T13, 4) + Pow (T23, 4) + Pow(T33, 4) +
2.0 * (T13 * T13 * T23 * T23 + T13 * T13 * T33 * T33 +
T23 * T23 * T33 * T33);
Coef(Low+3) = 4.0 * (Pow (T11, 3) * T12 + Pow (T21, 3) * T22 +
Pow (T31, 3) * T32 + T11 * T11 * T21 * T22 + T21 * T21 * T11 * T12 +
T11 * T11 * T31 * T32 + T31 * T31 * T11 * T12 + T21 * T21 * T31 * T32
+ T31 * T31 * T21 * T22);
Coef(Low+4) = 4.0 * (Pow (T11, 3) * T13 + Pow (T21, 3) * T23 +
Pow (T31, 3) * T33 + T11 * T11 * T21 * T23 + T21 * T21 * T11 * T13 +
T11 * T11 * T31 * T33 + T31 * T31 * T11 * T13 + T21 * T21 * T31 * T33
+ T31 * T31 * T21 * T23);
Coef(Low+5) = 4.0 * (Pow (T12, 3) * T11 + Pow (T22, 3) * T21 +
Pow (T32, 3) * T31 + T12 * T12 * T21 * T22 + T22 * T22 * T11 * T12 +
T12 * T12 * T31 * T32 + T32 * T32 * T11 * T12 + T22 * T22 * T31 * T32
+ T32 * T32 * T21 * T22);
Coef(Low+6) = 4.0 * (Pow (T12, 3) * T13 + Pow (T22, 3) * T23 +
Pow (T32, 3) * T33 + T12 * T12 * T22 * T23 + T22 * T22 * T12 * T13 +
T12 * T12 * T32 * T33 + T32 * T32 * T12 * T13 + T22 * T22 * T32 * T33
+ T32 * T32 * T22 * T23);
Coef(Low+7) = 4.0 * (Pow (T13, 3) * T11 + Pow (T23, 3) * T21 +
Pow (T33, 3) * T31 + T13 * T13 * T21 * T23 + T23 * T23 * T11 * T13 +
T13 * T13 * T31 * T33 + T33 * T33 * T11 * T13 + T23 * T23 * T31 * T33
+ T33 * T33 * T21 * T23);
Coef(Low+8) = 4.0 * (Pow (T13, 3) * T12 + Pow (T23, 3) * T22 +
Pow (T33, 3) * T32 + T13 * T13 * T22 * T23 + T23 * T23 * T12 * T13 +
T13 * T13 * T32 * T33 + T33 * T33 * T12 * T13 + T23 * T23 * T32 * T33
+ T33 * T33 * T22 * T23);
Coef(Low+9) = 6.0 * (T11 * T11 * T12 * T12 + T21 * T21 * T22 * T22 +
T31 * T31 * T32 * T32) + 8.0 * ( T11 * T12 * T21 * T22 +
T11 * T12 * T31 * T32 + T21 * T22 * T31 * T32) +
2.0 * (T11 * T11 * T22 * T22 + T11 * T11 * T32 * T32 +
T21 * T21 * T32 * T32 + T12 * T12 * T21 * T21 +
T12 * T12 * T31 * T31 + T22 * T22 * T31 * T31 );
Coef(Low+10) = 6.0 * (T11 * T11 * T13 * T13 + T21 * T21 * T23 * T23 +
T31 * T31 * T33 * T33) + 8.0 * ( T11 * T13 * T21 * T23 +
T11 * T13 * T31 * T33 + T21 * T23 * T31 * T33) +
2.0 * (T11 * T11 * T23 * T23 + T11 * T11 * T33 * T33 +
T21 * T21 * T33 * T33 + T13 * T13 * T21 * T21 +
T13 * T13 * T31 * T31 + T23 * T23 * T31 * T31);
Coef(Low+11) = 6.0 * (T12 * T12 * T13 * T13 + T22 * T22 * T23 * T23 +
T32 * T32 * T33 * T33) + 8.0 * ( T12 * T13 * T22 * T23 +
T12 * T23 * T32 * T33 + T22 * T23 * T32 * T33) +
2.0 * (T12 * T12 * T23 * T23 + T12 * T12 * T33 * T33 +
T22 * T22 * T33 * T33 + T13 * T13 * T22 * T22 +
T13 * T13 * T32 * T32 + T23 * T23 * T32 * T32);
Coef(Low+12) = 4.0 * (Pow (T11, 3) * T14 + Pow (T21, 3) * T24 +
Pow (T31, 3) * T34 + T11 * T11 * T21 * T24 + T11 * T11 * T31 * T34 +
T21 * T21 * T31 * T34 + T21 * T21 * T11 * T14 +
T31 * T31 * T11 * T34 + T31 * T31 * T21 * T24);
Coef(Low+13) = 4.0 * (Pow (T12, 3) * T14 + Pow (T22, 3) * T24 +
Pow (T32, 3) * T34 + T12 * T12 * T22 * T24 + T12 * T12 * T32 * T34 +
T22 * T22 * T32 * T34 + T22 * T22 * T12 * T14 +
T32 * T32 * T12 * T34 + T32 * T32 * T22 * T24);
Coef(Low+14) = 4.0 * (Pow (T13, 3) * T14 + Pow (T23, 3) * T24 +
Pow (T33, 3) * T34 + T13 * T13 * T23 * T24 + T13 * T13 * T33 * T34 +
T23 * T23 * T33 * T34 + T23 * T23 * T13 * T14 +
T33 * T33 * T13 * T34 + T33 * T33 * T23 * T24);
Coef(Low+15) = 4.0 * (T11 * T11 * T22 * T24 + T11 * T11 * T32 * T34 +
T21 * T21 * T32 * T34 + T21 * T21 * T12 * T14 + T31 * T31 * T12 * T14
+ T31 * T31 * T22 * T24);
Coef(Low+16) = 4.0 * (T11 * T11 * T23 * T24 + T11 * T11 * T33 * T34 +
T21 * T21 * T33 * T34 + T21 * T21 * T13 * T14 + T31 * T31 * T13 * T14
+ T31 * T31 * T23 * T24);
Coef(Low+17) = 4.0 * (T12 * T12 * T21 * T24 + T12 * T12 * T31 * T34 +
T22 * T22 * T31 * T34 + T22 * T22 * T11 * T14 + T32 * T32 * T11 * T14
+ T32 * T32 * T21 * T24);
Coef(Low+18) = 4.0 * (T12 * T12 * T23 * T24 + T12 * T12 * T33 * T34 +
T22 * T22 * T33 * T34 + T22 * T22 * T13 * T14 + T32 * T32 * T13 * T14
+ T32 * T32 * T23 * T24);
Coef(Low+19) = 4.0 * (T13 * T13 * T21 * T24 + T13 * T13 * T31 * T34 +
T23 * T23 * T31 * T34 + T23 * T23 * T11 * T14 + T33 * T33 * T11 * T14
+ T33 * T33 * T21 * T24);
Coef(Low+20) = 4.0 * (T13 * T13 * T22 * T24 + T13 * T13 * T32 * T34 +
T23 * T23 * T32 * T34 + T23 * T23 * T12 * T14 + T33 * T33 * T12 * T14
+ T33 * T33 * T22 * T24);
Coef(Low+21) = 6.0 * (T11 * T11 * T14 * T14 + T21 * T21 * T24 * T24 +
T31 * T31 * T34 * T34) + 2.0 * (T11 * T11 * T24 * T24 +
T11 * T11 * T34 * T34 + T21 * T21 * T34 * T34 + T21 * T21 * T14 * T14
+ T31 * T31 * T14 * T14 + T31 * T31 * T24 * T24 -
SumRadius * (T11 * T11 + T21 * T21) + SubRadius * T31 * T31);
Coef(Low+22) = 6.0 * (T12 * T12 * T14 * T14 + T22 * T22 * T24 * T24 +
T32 * T32 * T34 * T34) + 2.0 * (T12 * T12 * T24 * T24 +
T12 * T12 * T34 * T34 + T22 * T22 * T34 * T34 + T22 * T22 * T14 * T14
+ T32 * T32 * T14 * T14 + T32 * T32 * T24 * T24 -
SumRadius * (T12 * T12 + T22 * T22) + SubRadius * T32 * T32);
Coef(Low+23) = 6.0 * (T13 * T13 * T14 * T14 + T23 * T23 * T24 * T24 +
T33 * T33 * T34 * T34) + 2.0 * (T13 * T13 * T24 * T24 +
T13 * T13 * T34 * T34 + T23 * T23 * T34 * T34 + T23 * T23 * T14 * T14
+ T33 * T33 * T14 * T14 + T33 * T33 * T24 * T24 -
SumRadius * (T13 * T13 + T23 * T23) + SubRadius * T33 * T33);
Coef(Low+24) = 8.0 * (T11 * T14 * T22 * T24 + T11 * T14 * T32 * T34 +
T21 * T24 * T32 * T34 + T21 * T24 * T12 * T14 + T31 * T34 * T12 * T14
+ T31 * T34 *T22 * T24) + 4.0 * (T11 * T12 * T24 * T24 +
T11 * T12 * T34 * T34 + T21 * T22 * T34 * T34 + T21 * T22 * T14 * T14
+ T31 * T32 * T14 * T14 + T31 * T32 * T24 * T24 - SumRadius * (
T11 * T12 + T21 * T22) + SubRadius * T31 * T32);
Coef(Low+25) = 8.0 * (T11 * T14 * T23 * T24 + T11 * T14 * T33 * T34 +
T21 * T24 * T33 * T34 + T21 * T24 * T13 * T14 + T31 * T34 * T13 * T14
+ T31 * T34 *T23 * T24) + 4.0 * (T11 * T13 * T24 * T24 +
T11 * T13 * T34 * T34 + T21 * T23 * T34 * T34 + T21 * T23 * T14 * T14
+ T31 * T33 * T14 * T14 + T31 * T33 * T24 * T24 - SumRadius * (
T11 * T13 + T21 * T22) + SubRadius * T31 * T33);
Coef(Low+26) = 8.0 * (T12 * T14 * T23 * T24 + T12 * T14 * T33 * T34 +
T22 * T24 * T33 * T34 + T22 * T24 * T13 * T14 + T32 * T34 * T13 * T14
+ T32 * T34 *T23 * T24) + 4.0 * (T12 * T13 * T24 * T24 +
T12 * T13 * T34 * T34 + T22 * T23 * T34 * T34 + T22 * T23 * T14 * T14
+ T32 * T33 * T14 * T14 + T32 * T33 * T24 * T24 - SumRadius * (
T12 * T13 + T21 * T22) + SubRadius * T32 * T33);
Coef(Low+27) = 4.0 * (Pow (T14, 3) * T11 + Pow (T24, 3) * T21 +
Pow (T34, 3) * T31 + T11 * T14 * T24 * T24 + T11 * T14 * T34 * T34
+ T21 * T24 * T34 * T34 + T21 * T24 * T14 * T14 +
T31 * T34 * T14 * T14 + T31 * T34 * T24 * T24 + SubRadius * T31 * T34
- SumRadius * (T11 * T14 + T21 * T24));
Coef(Low+28) = 4.0 * (Pow (T14, 3) * T12 + Pow (T24, 3) * T22 +
Pow (T34, 3) * T32 + T12 * T14 * T24 * T24 + T12 * T14 * T34 * T34
+ T22 * T24 * T34 * T34 + T22 * T24 * T14 * T14 +
T32 * T34 * T14 * T14 + T32 * T34 * T24 * T24 + SubRadius * T32 * T34
- SumRadius * (T12 * T14 + T22 * T24));
Coef(Low+29) = 4.0 * (Pow (T14, 3) * T13 + Pow (T24, 3) * T23 +
Pow (T34, 3) * T33 + T13 * T14 * T24 * T24 + T13 * T14 * T34 * T34
+ T23 * T24 * T34 * T34 + T23 * T24 * T14 * T14 +
T33 * T34 * T14 * T14 + T33 * T34 * T24 * T24 + SubRadius * T33 * T34
- SumRadius * (T13 * T14 + T21 * T24));
Coef(Low+30) = Pow (T14, 4) + Pow (T24, 4) + Pow (T34, 4) + 2.0 * (
T14 * T14 * T24 * T24 + T14 * T14 * T34 * T34 + T24 * T24 * T34 * T34
- SumRadius * (T14 * T14 + T24 * T24) + SubRadius * T34 * T34 -
majorRadius * majorRadius * minorRadius * minorRadius);
}
void gp_Torus::Mirror (const gp_Pnt& P)
{ pos.Mirror (P); }
gp_Torus gp_Torus::Mirrored (const gp_Pnt& P) const
{
gp_Torus C = *this;
C.pos.Mirror (P);
return C;
}
void gp_Torus::Mirror (const gp_Ax1& A1)
{ pos.Mirror (A1); }
gp_Torus gp_Torus::Mirrored (const gp_Ax1& A1) const
{
gp_Torus C = *this;
C.pos.Mirror (A1);
return C;
}
void gp_Torus::Mirror (const gp_Ax2& A2)
{ pos.Mirror (A2); }
gp_Torus gp_Torus::Mirrored (const gp_Ax2& A2) const
{
gp_Torus C = *this;
C.pos.Mirror (A2);
return C;
}
View Git Blame Copy Permalink