HepGeom::Transform3D Class Reference

#include <Transform3D.h>

Inheritance diagram for HepGeom::Transform3D:

Classes
class	Transform3D_row

Public Member Functions
	Transform3D ()
	Transform3D (const CLHEP::HepRotation &mt, const CLHEP::Hep3Vector &v)
	Transform3D (const Point3D< double > &fr0, const Point3D< double > &fr1, const Point3D< double > &fr2, const Point3D< double > &to0, const Point3D< double > &to1, const Point3D< double > &to2)
	Transform3D (const Transform3D &mt)=default
	Transform3D (Transform3D &&mt)=default
	~Transform3D ()=default
Transform3D &	operator= (const Transform3D &mt)=default
Transform3D &	operator= (Transform3D &&mt)=default
const Transform3D_row	operator[] (int) const
double	operator() (int, int) const
double	xx () const
double	xy () const
double	xz () const
double	yx () const
double	yy () const
double	yz () const
double	zx () const
double	zy () const
double	zz () const
double	dx () const
double	dy () const
double	dz () const
void	setIdentity ()
Transform3D	inverse () const
Transform3D	operator* (const Transform3D &b) const
void	getDecomposition (Scale3D &scale, Rotate3D &rotation, Translate3D &translation) const
bool	isNear (const Transform3D &t, double tolerance=2.2E-14) const
CLHEP::HepRotation	getRotation () const
CLHEP::Hep3Vector	getTranslation () const
bool	operator== (const Transform3D &transform) const
bool	operator!= (const Transform3D &transform) const

Static Public Attributes
static DLL_API const Transform3D	Identity = Transform3D ()

Protected Member Functions
	Transform3D (double XX, double XY, double XZ, double DX, double YX, double YY, double YZ, double DY, double ZX, double ZY, double ZZ, double DZ)
void	setTransform (double XX, double XY, double XZ, double DX, double YX, double YY, double YZ, double DY, double ZX, double ZY, double ZZ, double DZ)

Protected Attributes
double	xx_
double	xy_
double	xz_
double	dx_
double	yx_
double	yy_
double	yz_
double	dy_
double	zx_
double	zy_
double	zz_
double	dz_

Detailed Description

Class for transformation of 3D geometrical objects. It allows different translations, rotations, scalings and reflections. Several specialized classes are derived from it:

TranslateX3D, TranslateY3D, TranslateZ3D, Translate3D,
RotateX3D, RotateY3D, RotateZ3D, Rotate3D,
ScaleX3D, ScaleY3D, ScaleZ3D, Scale3D,
ReflectX3D, ReflectY3D, ReflectZ3D, Reflect3D.

The idea behind these classes is to provide some additional constructors for Transform3D, they normally should not be used as separate classes.

Example:

HepGeom::Transform3D m;
m = HepGeom::TranslateX3D(10.*cm);

Remark: For the reason that the operator* is left associative, the notation

v2 = m3*(m2*(m1*v1));

is much more effective then the notation

v2 = m3*m2*m1*v1;

In the first case three operations Transform3D*Vector3D are executed, in the second case two operations Transform3D*Transform3D and one Transform3D*Vector3D are performed. Transform3D*Transform3D is roughly three times slower than Transform3D*Vector3D.

Author

Evgue.nosp@m.ni.T.nosp@m.chern.nosp@m.iaev.nosp@m.@cern.nosp@m..ch

Definition at line 170 of file Transform3D.h.

Constructor & Destructor Documentation

Transform3D() [1/6]

HepGeom::Transform3D::Transform3D ( double  XX, double  XY, double  XZ, double  DX, double  YX, double  YY, double  YZ, double  DY, double  ZX, double  ZY, double  ZZ, double  DZ  )

inlineprotected

Definition at line 177 of file Transform3D.h.

      : xx_(XX), xy_(XY), xz_(XZ), dx_(DX),
    yx_(YX), yy_(YY), yz_(YZ), dy_(DY),
    zx_(ZX), zy_(ZY), zz_(ZZ), dz_(DZ) {}

Transform3D() [2/6]

HepGeom::Transform3D::Transform3D ( )

inline

Default constructor - sets the Identity transformation.

Definition at line 210 of file Transform3D.h.

      : xx_(1), xy_(0), xz_(0), dx_(0),
    yx_(0), yy_(1), yz_(0), dy_(0),
    zx_(0), zy_(0), zz_(1), dz_(0) {}

Referenced by inverse(), and operator*().

Transform3D() [3/6]

HepGeom::Transform3D::Transform3D ( const CLHEP::HepRotation &  mt, const CLHEP::Hep3Vector &  v  )

inline

Constructor: rotation and then translation.

Transform3D() [4/6]

HepGeom::Transform3D::Transform3D	(	const Point3D< double > &	fr0,
		const Point3D< double > &	fr1,
		const Point3D< double > &	fr2,
		const Point3D< double > &	to0,
		const Point3D< double > &	to1,
		const Point3D< double > &	to2
	)

Constructor: transformation of basis (assumed - no reflection).

Definition at line 62 of file Transform3D.cc.

  {
    Vector3D<double> x1,y1,z1, x2,y2,z2;
    x1 = (fr1 - fr0).unit();
    y1 = (fr2 - fr0).unit();
    x2 = (to1 - to0).unit();
    y2 = (to2 - to0).unit();
    
    //   C H E C K   A N G L E S
    
    double cos1, cos2;
    cos1 = x1*y1;
    cos2 = x2*y2;
    
    if (std::abs(1.0-cos1) <= 0.000001 || std::abs(1.0-cos2) <= 0.000001) {
      std::cerr << "Transform3D: zero angle between axes" << std::endl;
      setIdentity();
    }else{
      if (std::abs(cos1-cos2) > 0.000001) {
    std::cerr << "Transform3D: angles between axes are not equal"
          << std::endl;
      }
      
      //   F I N D   R O T A T I O N   M A T R I X
      
      z1 = (x1.cross(y1)).unit();
      y1  = z1.cross(x1);
    
      z2 = (x2.cross(y2)).unit();
      y2  = z2.cross(x2);
      
      double detxx =  (y1.y()*z1.z() - z1.y()*y1.z());
      double detxy = -(y1.x()*z1.z() - z1.x()*y1.z());
      double detxz =  (y1.x()*z1.y() - z1.x()*y1.y());
      double detyx = -(x1.y()*z1.z() - z1.y()*x1.z());
      double detyy =  (x1.x()*z1.z() - z1.x()*x1.z());
      double detyz = -(x1.x()*z1.y() - z1.x()*x1.y());
      double detzx =  (x1.y()*y1.z() - y1.y()*x1.z());
      double detzy = -(x1.x()*y1.z() - y1.x()*x1.z());
      double detzz =  (x1.x()*y1.y() - y1.x()*x1.y());
 
      double txx = x2.x()*detxx + y2.x()*detyx + z2.x()*detzx; 
      double txy = x2.x()*detxy + y2.x()*detyy + z2.x()*detzy; 
      double txz = x2.x()*detxz + y2.x()*detyz + z2.x()*detzz; 
      double tyx = x2.y()*detxx + y2.y()*detyx + z2.y()*detzx; 
      double tyy = x2.y()*detxy + y2.y()*detyy + z2.y()*detzy; 
      double tyz = x2.y()*detxz + y2.y()*detyz + z2.y()*detzz; 
      double tzx = x2.z()*detxx + y2.z()*detyx + z2.z()*detzx; 
      double tzy = x2.z()*detxy + y2.z()*detyy + z2.z()*detzy; 
      double tzz = x2.z()*detxz + y2.z()*detyz + z2.z()*detzz; 
 
      //   S E T    T R A N S F O R M A T I O N 
 
      double dx1 = fr0.x(), dy1 = fr0.y(), dz1 = fr0.z();
      double dx2 = to0.x(), dy2 = to0.y(), dz2 = to0.z();
 
      setTransform(txx, txy, txz, dx2-txx*dx1-txy*dy1-txz*dz1,
           tyx, tyy, tyz, dy2-tyx*dx1-tyy*dy1-tyz*dz1,
           tzx, tzy, tzz, dz2-tzx*dx1-tzy*dy1-tzz*dz1);
    }
  }

Transform3D() [5/6]

HepGeom::Transform3D::Transform3D ( const Transform3D &  mt )

default

Copy constructor.

Transform3D() [6/6]

HepGeom::Transform3D::Transform3D ( Transform3D &&  mt )

default

Move constructor.

~Transform3D()

HepGeom::Transform3D::~Transform3D ( )

default

Destructor.

Member Function Documentation

dx()

double HepGeom::Transform3D::dx ( ) const

inline

Gets dx-element of the transformation matrix.

Definition at line 284 of file Transform3D.h.

{ return dx_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4PhysicalVolumeModel::DescribeAndDescend(), HepGeom::Point3D< T >::operator*(), HepGeom::Point3D< float >::transform(), and HepGeom::Point3D< double >::transform().

dy()

double HepGeom::Transform3D::dy ( ) const

inline

Gets dy-element of the transformation matrix.

Definition at line 287 of file Transform3D.h.

{ return dy_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4PhysicalVolumeModel::DescribeAndDescend(), HepGeom::Point3D< T >::operator*(), HepGeom::Point3D< float >::transform(), and HepGeom::Point3D< double >::transform().

dz()

double HepGeom::Transform3D::dz ( ) const

inline

Gets dz-element of the transformation matrix.

Definition at line 290 of file Transform3D.h.

{ return dz_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4PhysicalVolumeModel::DescribeAndDescend(), HepGeom::Point3D< T >::operator*(), HepGeom::Point3D< float >::transform(), and HepGeom::Point3D< double >::transform().

getDecomposition()

void HepGeom::Transform3D::getDecomposition	(	Scale3D &	scale,
		Rotate3D &	rotation,
		Translate3D &	translation
	)		const

Decomposition of general transformation. This function gets decomposition of the transformation in three consequentive specific transformations: Scale3D, then Rotate3D, then Translate3, i.e.

Transform3D = Translate3D * Rotate3D * Scale3D

Parameters

scale	output: scaling transformation; if there was a reflection, then scale factor for z-component (scale(2,2)) will be negative.
rotation	output: rotation transformaion.
translation	output: translation transformaion.

Definition at line 173 of file Transform3D.cc.

  {
    double sx = std::sqrt(xx_*xx_ + yx_*yx_ + zx_*zx_);
    double sy = std::sqrt(xy_*xy_ + yy_*yy_ + zy_*zy_);
    double sz = std::sqrt(xz_*xz_ + yz_*yz_ + zz_*zz_);
 
    if (xx_*(yy_*zz_-yz_*zy_) -
    xy_*(yx_*zz_-yz_*zx_) +
    xz_*(yx_*zy_-yy_*zx_) < 0) sz = -sz;
    scale.setTransform(sx,0,0,0,  0,sy,0,0, 0,0,sz,0);
    rotation.setTransform(xx_/sx,xy_/sy,xz_/sz,0,
              yx_/sx,yy_/sy,yz_/sz,0,
              zx_/sx,zy_/sy,zz_/sz,0); 
    translation.setTransform(1,0,0,dx_, 0,1,0,dy_, 0,0,1,dz_);
  }

Referenced by G4AssemblyVolume::AddPlacedAssembly(), G4AssemblyVolume::AddPlacedVolume(), G4PhysicalVolumeModel::DescribeAndDescend(), G4GDMLWriteSolids::MultiUnionWrite(), G4GDMLWriteStructure::PhysvolWrite(), G4ReflectionFactory::Place(), and G4GDMLWriteStructure::TraverseVolumeTree().

getRotation()

CLHEP::HepRotation HepGeom::Transform3D::getRotation ( ) const

inline

Extracts the rotation matrix. This functions is obsolete - use getDecomposition() instead.

Referenced by G4AssemblyVolume::AddPlacedAssembly(), G4AssemblyVolume::AddPlacedVolume(), G4GMocrenFileSceneHandler::AddPrimitive(), G4GMocrenFileSceneHandler::AddSolid(), G4HepRepFileSceneHandler::AddSolid(), G4ReflectedSolid::BoundingLimits(), G4ReflectedSolid::CalculateExtent(), G4GMocrenFileSceneHandler::EndSavingGdd(), G4DisplacedSolid::G4DisplacedSolid(), G4PVPlacement::G4PVPlacement(), G4GDMLWriteStructure::PhysvolWrite(), G4VisCommandSceneAddLogo::SetNewValue(), G4VisCommandSceneAddScale::SetNewValue(), G4ReflectedSolid::StreamInfo(), G4MultiUnion::StreamInfo(), G4VisExtent::Transform(), and G4GDMLWriteStructure::TraverseVolumeTree().

getTranslation()

CLHEP::Hep3Vector HepGeom::Transform3D::getTranslation ( ) const

inline

Extracts the translation vector. This functions is obsolete - use getDecomposition() instead.

Referenced by G4AssemblyVolume::AddPlacedAssembly(), G4AssemblyVolume::AddPlacedVolume(), G4GMocrenFileSceneHandler::AddPrimitive(), G4GMocrenFileSceneHandler::AddSolid(), G4ReflectedSolid::BoundingLimits(), G4ReflectedSolid::CalculateExtent(), G4GMocrenFileSceneHandler::EndSavingGdd(), G4DisplacedSolid::G4DisplacedSolid(), G4GDMLWriteSolids::MultiUnionWrite(), G4GDMLWriteStructure::PhysvolWrite(), G4VisCommandSceneAddLogo::SetNewValue(), G4VisCommandSceneAddScale::SetNewValue(), G4ReflectedSolid::StreamInfo(), G4MultiUnion::StreamInfo(), G4VisExtent::Transform(), and G4GDMLWriteStructure::TraverseVolumeTree().

inverse()

Transform3D HepGeom::Transform3D::inverse

(

)

const

Returns the inverse transformation.

Definition at line 141 of file Transform3D.cc.

  {
    double detxx = yy_*zz_-yz_*zy_;
    double detxy = yx_*zz_-yz_*zx_;
    double detxz = yx_*zy_-yy_*zx_;
    double det   = xx_*detxx - xy_*detxy + xz_*detxz;
    if (det == 0) {
      std::cerr << "Transform3D::inverse error: zero determinant" << std::endl;
      return Transform3D();
    }
    det = 1./det; detxx *= det; detxy *= det; detxz *= det;
    double detyx = (xy_*zz_ - xz_*zy_)*det;
    double detyy = (xx_*zz_ - xz_*zx_)*det;
    double detyz = (xx_*zy_ - xy_*zx_)*det;
    double detzx = (xy_*yz_ - xz_*yy_)*det;
    double detzy = (xx_*yz_ - xz_*yx_)*det;
    double detzz = (xx_*yy_ - xy_*yx_)*det;
    return Transform3D
      (detxx, -detyx,  detzx, -detxx*dx_+detyx*dy_-detzx*dz_,
      -detxy,  detyy, -detzy,  detxy*dx_-detyy*dy_+detzy*dz_,
       detxz, -detyz,  detzz, -detxz*dx_+detyz*dy_-detzz*dz_);
  }

Referenced by G4PhysicalVolumeModel::DescribeAndDescend(), G4PhysicalVolumeModel::DescribeSolid(), G4ScoringBox::Draw(), G4ScoringCylinder::Draw(), G4ScoringBox::DrawColumn(), G4ScoringCylinder::DrawColumn(), G3toG4BuildPVTree(), G3toG4MANY(), G4ReflectedSolid::GetTransform3D(), GetTransform3D(), G4ReflectionFactory::Place(), SubstractSolids(), and G4GDMLWriteStructure::TraverseVolumeTree().

isNear()

bool HepGeom::Transform3D::isNear	(	const Transform3D &	t,
		double	tolerance = 2.2E-14
	)		const

Returns true if the difference between corresponding matrix elements is less than the tolerance.

Definition at line 203 of file Transform3D.cc.

  { 
    return ( (std::abs(xx_ - t.xx_) <= tolerance) && 
         (std::abs(xy_ - t.xy_) <= tolerance) &&
         (std::abs(xz_ - t.xz_) <= tolerance) &&
         (std::abs(dx_ - t.dx_) <= tolerance) &&
         (std::abs(yx_ - t.yx_) <= tolerance) &&
         (std::abs(yy_ - t.yy_) <= tolerance) &&
         (std::abs(yz_ - t.yz_) <= tolerance) &&
         (std::abs(dy_ - t.dy_) <= tolerance) &&
         (std::abs(zx_ - t.zx_) <= tolerance) &&
         (std::abs(zy_ - t.zy_) <= tolerance) &&
         (std::abs(zz_ - t.zz_) <= tolerance) &&
         (std::abs(dz_ - t.dz_) <= tolerance) );
  }

operator!=()

bool HepGeom::Transform3D::operator!= ( const Transform3D &  transform ) const

inline

Test for inequality.

Definition at line 349 of file Transform3D.h.

                                                           {
      return ! operator==(transform);
    }

operator()()

double HepGeom::Transform3D::operator()	(	int	i,
		int	j
	)		const

Fortran-style subscripting: returns (i,j) element of the matrix.

Definition at line 23 of file Transform3D.cc.

                                                     {
    if (i == 0) {
      if (j == 0) { return xx_; }
      if (j == 1) { return xy_; }
      if (j == 2) { return xz_; } 
      if (j == 3) { return dx_; } 
    } else if (i == 1) {
      if (j == 0) { return yx_; }
      if (j == 1) { return yy_; }
      if (j == 2) { return yz_; } 
      if (j == 3) { return dy_; } 
    } else if (i == 2) {
      if (j == 0) { return zx_; }
      if (j == 1) { return zy_; }
      if (j == 2) { return zz_; } 
      if (j == 3) { return dz_; } 
    } else if (i == 3) {
      if (j == 0) { return 0.0; }
      if (j == 1) { return 0.0; }
      if (j == 2) { return 0.0; } 
      if (j == 3) { return 1.0; } 
    } 
    std::cerr << "Transform3D subscripting: bad indices "
          << "(" << i << "," << j << ")" << std::endl;
    return 0.0;
  }

operator*()

Transform3D HepGeom::Transform3D::operator*

(

const Transform3D &

b

)

const

Transformation by another Transform3D.

Definition at line 51 of file Transform3D.cc.

                                                                {
    return Transform3D
      (xx_*b.xx_+xy_*b.yx_+xz_*b.zx_, xx_*b.xy_+xy_*b.yy_+xz_*b.zy_,
       xx_*b.xz_+xy_*b.yz_+xz_*b.zz_, xx_*b.dx_+xy_*b.dy_+xz_*b.dz_+dx_,
       yx_*b.xx_+yy_*b.yx_+yz_*b.zx_, yx_*b.xy_+yy_*b.yy_+yz_*b.zy_,
       yx_*b.xz_+yy_*b.yz_+yz_*b.zz_, yx_*b.dx_+yy_*b.dy_+yz_*b.dz_+dy_,
       zx_*b.xx_+zy_*b.yx_+zz_*b.zx_, zx_*b.xy_+zy_*b.yy_+zz_*b.zy_,
       zx_*b.xz_+zy_*b.yz_+zz_*b.zz_, zx_*b.dx_+zy_*b.dy_+zz_*b.dz_+dz_);
  }

operator=() [1/2]

Transform3D & HepGeom::Transform3D::operator= ( const Transform3D &  mt )

default

Assignment.

operator=() [2/2]

Transform3D & HepGeom::Transform3D::operator= ( Transform3D &&  mt )

default

Move assignment.

operator==()

bool HepGeom::Transform3D::operator==

(

const Transform3D &

transform

)

const

Test for equality.

Definition at line 220 of file Transform3D.cc.

  {
    return (this == &t) ? true :
      (xx_==t.xx_ && xy_==t.xy_ && xz_==t.xz_ && dx_==t.dx_ && 
       yx_==t.yx_ && yy_==t.yy_ && yz_==t.yz_ && dy_==t.dy_ &&
       zx_==t.zx_ && zy_==t.zy_ && zz_==t.zz_ && dz_==t.dz_ );
  }

Referenced by operator!=().

operator[]()

const Transform3D_row HepGeom::Transform3D::operator[] ( int  ) const

inline

Returns object of the helper class for C-style subscripting r[i][j]

setIdentity()

void HepGeom::Transform3D::setIdentity ( )

inline

Sets the Identity transformation.

Definition at line 294 of file Transform3D.h.

                       {
      xy_= xz_= dx_= yx_= yz_= dy_= zx_= zy_= dz_= 0; xx_= yy_= zz_= 1;
    }

Referenced by HepGeom::Reflect3D::Reflect3D(), and Transform3D().

setTransform()

void HepGeom::Transform3D::setTransform ( double  XX, double  XY, double  XZ, double  DX, double  YX, double  YY, double  YZ, double  DY, double  ZX, double  ZY, double  ZZ, double  DZ  )

inlineprotected

Definition at line 185 of file Transform3D.h.

                                                          {
      xx_ = XX; xy_ = XY; xz_ = XZ; dx_ = DX;
      yx_ = YX; yy_ = YY; yz_ = YZ; dy_ = DY;
      zx_ = ZX; zy_ = ZY; zz_ = ZZ; dz_ = DZ;
    }

Referenced by HepGeom::Reflect3D::Reflect3D(), HepGeom::Rotate3D::Rotate3D(), HepGeom::RotateX3D::RotateX3D(), HepGeom::RotateY3D::RotateY3D(), HepGeom::RotateZ3D::RotateZ3D(), and Transform3D().

xx()

double HepGeom::Transform3D::xx ( ) const

inline

Gets xx-element of the transformation matrix.

Definition at line 257 of file Transform3D.h.

{ return xx_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), G4GDMLWriteSolids::ScaledWrite(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

xy()

double HepGeom::Transform3D::xy ( ) const

inline

Gets xy-element of the transformation matrix.

Definition at line 260 of file Transform3D.h.

{ return xy_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

xz()

double HepGeom::Transform3D::xz ( ) const

inline

Gets xz-element of the transformation matrix.

Definition at line 263 of file Transform3D.h.

{ return xz_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

yx()

double HepGeom::Transform3D::yx ( ) const

inline

Gets yx-element of the transformation matrix.

Definition at line 266 of file Transform3D.h.

{ return yx_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

yy()

double HepGeom::Transform3D::yy ( ) const

inline

Gets yy-element of the transformation matrix.

Definition at line 269 of file Transform3D.h.

{ return yy_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), G4GDMLWriteSolids::ScaledWrite(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

yz()

double HepGeom::Transform3D::yz ( ) const

inline

Gets yz-element of the transformation matrix.

Definition at line 272 of file Transform3D.h.

{ return yz_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

zx()

double HepGeom::Transform3D::zx ( ) const

inline

Gets zx-element of the transformation matrix.

Definition at line 275 of file Transform3D.h.

{ return zx_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

zy()

double HepGeom::Transform3D::zy ( ) const

inline

Gets zy-element of the transformation matrix.

Definition at line 278 of file Transform3D.h.

{ return zy_; }

Referenced by G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

zz()

double HepGeom::Transform3D::zz ( ) const

inline

Gets zz-element of the transformation matrix.

Definition at line 281 of file Transform3D.h.

{ return zz_; }

Referenced by G4BoundingEnvelope::BoundingBoxVsVoxelLimits(), G4ReflectedSolid::BoundingLimits(), G4BoundingEnvelope::CalculateExtent(), G4GDMLWriteSolids::MultiUnionWrite(), HepGeom::Normal3D< T >::operator*(), HepGeom::Point3D< T >::operator*(), HepGeom::Vector3D< T >::operator*(), G4GDMLWriteSolids::ScaledWrite(), HepGeom::Normal3D< float >::transform(), HepGeom::Normal3D< double >::transform(), HepGeom::Point3D< float >::transform(), HepGeom::Point3D< double >::transform(), HepGeom::Vector3D< float >::transform(), and HepGeom::Vector3D< double >::transform().

Member Data Documentation

dx_

double HepGeom::Transform3D::dx_

protected

Definition at line 172 of file Transform3D.h.

Referenced by dx(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().

dy_

double HepGeom::Transform3D::dy_

protected

Definition at line 173 of file Transform3D.h.

Referenced by dy(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().

dz_

double HepGeom::Transform3D::dz_

protected

Definition at line 174 of file Transform3D.h.

Referenced by dz(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().

Identity

const Transform3D HepGeom::Transform3D::Identity = Transform3D ()

static

Global identity transformation.

Definition at line 196 of file Transform3D.h.

Referenced by G4GDMLWriteStructure::TraverseVolumeTree(), and G4GDMLWrite::Write().

xx_

double HepGeom::Transform3D::xx_

protected

Definition at line 172 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xx().

xy_

double HepGeom::Transform3D::xy_

protected

Definition at line 172 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xy().

xz_

double HepGeom::Transform3D::xz_

protected

Definition at line 172 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xz().

yx_

double HepGeom::Transform3D::yx_

protected

Definition at line 173 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yx().

yy_

double HepGeom::Transform3D::yy_

protected

Definition at line 173 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yy().

yz_

double HepGeom::Transform3D::yz_

protected

Definition at line 173 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yz().

zx_

double HepGeom::Transform3D::zx_

protected

Definition at line 174 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zx().

zy_

double HepGeom::Transform3D::zy_

protected

Definition at line 174 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zy().

zz_

double HepGeom::Transform3D::zz_

protected

Definition at line 174 of file Transform3D.h.

Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zz().

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The documentation for this class was generated from the following files:

• Transform3D.h
• Transform3D.cc