CLHEP VERSION Reference Documentation
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#include <Transform3D.h>
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class | Transform3D_row |
Static Public Attributes | |
static 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) |
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_ |
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:
Remark: For the reason that the operator* is left associative, the notation
is much more effective then the notation
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.
Definition at line 172 of file CLHEP/Geometry/Transform3D.h.
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Definition at line 179 of file CLHEP/Geometry/Transform3D.h.
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Default constructor - sets the Identity transformation.
Definition at line 212 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), and operator*().
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Constructor: rotation and then translation.
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 67 of file Transform3D.cc.
References HepGeom::BasicVector3D< T >::cross(), setIdentity(), setTransform(), unit, HepGeom::BasicVector3D< T >::x(), HepGeom::BasicVector3D< T >::y(), and HepGeom::BasicVector3D< T >::z().
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Copy constructor.
Definition at line 232 of file CLHEP/Geometry/Transform3D.h.
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Destructor. Virtual for now as some persistency mechanism needs that, in future releases this might go away again.
Definition at line 242 of file CLHEP/Geometry/Transform3D.h.
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Definition at line 179 of file Geometry/Transform3D.h.
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Default constructor - sets the Identity transformation.
Definition at line 212 of file Geometry/Transform3D.h.
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Constructor: rotation and then translation.
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).
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Copy constructor.
Definition at line 232 of file Geometry/Transform3D.h.
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Destructor. Virtual for now as some persistency mechanism needs that, in future releases this might go away again.
Definition at line 242 of file Geometry/Transform3D.h.
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Gets dx-element of the transformation matrix.
Definition at line 280 of file CLHEP/Geometry/Transform3D.h.
References dx_.
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Gets dx-element of the transformation matrix.
Definition at line 280 of file Geometry/Transform3D.h.
References dx_.
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Gets dy-element of the transformation matrix.
Definition at line 283 of file Geometry/Transform3D.h.
References dy_.
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Gets dy-element of the transformation matrix.
Definition at line 283 of file CLHEP/Geometry/Transform3D.h.
References dy_.
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Gets dz-element of the transformation matrix.
Definition at line 286 of file Geometry/Transform3D.h.
References dz_.
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Gets dz-element of the transformation matrix.
Definition at line 286 of file CLHEP/Geometry/Transform3D.h.
References dz_.
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.
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 178 of file Transform3D.cc.
Referenced by main().
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.
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. |
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Extracts the rotation matrix. This functions is obsolete - use getDecomposition() instead.
Referenced by XF::Pow::operator()().
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Extracts the rotation matrix. This functions is obsolete - use getDecomposition() instead.
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Extracts the translation vector. This functions is obsolete - use getDecomposition() instead.
Referenced by XF::Pow::operator()().
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Extracts the translation vector. This functions is obsolete - use getDecomposition() instead.
Transform3D HepGeom::Transform3D::inverse | ( | ) | const |
Returns the inverse transformation.
Transform3D HepGeom::Transform3D::inverse | ( | ) | const |
bool HepGeom::Transform3D::isNear | ( | const Transform3D & | t, |
double | tolerance = 2.2E-14 |
||
) | const |
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.
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Test for inequality.
Definition at line 354 of file CLHEP/Geometry/Transform3D.h.
References operator==().
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Test for inequality.
Definition at line 354 of file Geometry/Transform3D.h.
References operator==().
double HepGeom::Transform3D::operator() | ( | int | , |
int | |||
) | const |
Fortran-style subscripting: returns (i,j) element of the matrix.
double HepGeom::Transform3D::operator() | ( | int | i, |
int | j | ||
) | const |
Transform3D HepGeom::Transform3D::operator* | ( | const Transform3D & | b | ) | const |
Transform3D HepGeom::Transform3D::operator* | ( | const Transform3D & | b | ) | const |
Transformation by another Transform3D.
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Assignment.
Definition at line 290 of file CLHEP/Geometry/Transform3D.h.
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Assignment.
Definition at line 290 of file Geometry/Transform3D.h.
bool HepGeom::Transform3D::operator== | ( | const Transform3D & | transform | ) | const |
Test for equality.
bool HepGeom::Transform3D::operator== | ( | const Transform3D & | transform | ) | const |
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Returns object of the helper class for C-style subscripting r[i][j]
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Returns object of the helper class for C-style subscripting r[i][j]
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Definition at line 187 of file CLHEP/Geometry/Transform3D.h.
References dx_, dy_, dz_, xx_, xy_, xz_, yx_, yy_, yz_, zx_, zy_, and zz_.
Referenced by HepGeom::Reflect3D::Reflect3D(), HepGeom::Rotate3D::Rotate3D(), HepGeom::RotateX3D::RotateX3D(), HepGeom::RotateY3D::RotateY3D(), HepGeom::RotateZ3D::RotateZ3D(), and Transform3D().
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Gets xx-element of the transformation matrix.
Definition at line 253 of file CLHEP/Geometry/Transform3D.h.
References xx_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets xx-element of the transformation matrix.
Definition at line 253 of file Geometry/Transform3D.h.
References xx_.
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Gets xy-element of the transformation matrix.
Definition at line 256 of file CLHEP/Geometry/Transform3D.h.
References xy_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets xy-element of the transformation matrix.
Definition at line 256 of file Geometry/Transform3D.h.
References xy_.
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Gets xz-element of the transformation matrix.
Definition at line 259 of file Geometry/Transform3D.h.
References xz_.
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Gets xz-element of the transformation matrix.
Definition at line 259 of file CLHEP/Geometry/Transform3D.h.
References xz_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets yx-element of the transformation matrix.
Definition at line 262 of file Geometry/Transform3D.h.
References yx_.
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Gets yx-element of the transformation matrix.
Definition at line 262 of file CLHEP/Geometry/Transform3D.h.
References yx_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets yy-element of the transformation matrix.
Definition at line 265 of file CLHEP/Geometry/Transform3D.h.
References yy_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets yy-element of the transformation matrix.
Definition at line 265 of file Geometry/Transform3D.h.
References yy_.
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Gets yz-element of the transformation matrix.
Definition at line 268 of file Geometry/Transform3D.h.
References yz_.
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Gets yz-element of the transformation matrix.
Definition at line 268 of file CLHEP/Geometry/Transform3D.h.
References yz_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets zx-element of the transformation matrix.
Definition at line 271 of file CLHEP/Geometry/Transform3D.h.
References zx_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets zx-element of the transformation matrix.
Definition at line 271 of file Geometry/Transform3D.h.
References zx_.
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Gets zy-element of the transformation matrix.
Definition at line 274 of file CLHEP/Geometry/Transform3D.h.
References zy_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets zy-element of the transformation matrix.
Definition at line 274 of file Geometry/Transform3D.h.
References zy_.
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Gets zz-element of the transformation matrix.
Definition at line 277 of file CLHEP/Geometry/Transform3D.h.
References zz_.
Referenced by CLHEP::HepLorentzRotation::decompose(), main(), and CLHEP::HepLorentzRotation::rectify().
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Gets zz-element of the transformation matrix.
Definition at line 277 of file Geometry/Transform3D.h.
References zz_.
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Definition at line 174 of file CLHEP/Geometry/Transform3D.h.
Referenced by dx(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().
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Definition at line 175 of file CLHEP/Geometry/Transform3D.h.
Referenced by dy(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().
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Definition at line 176 of file CLHEP/Geometry/Transform3D.h.
Referenced by dz(), inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), and setTransform().
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Global identity transformation.
Definition at line 198 of file CLHEP/Geometry/Transform3D.h.
Referenced by main().
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Definition at line 174 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xx().
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Definition at line 174 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xy().
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Definition at line 174 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and xz().
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Definition at line 175 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yx().
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Definition at line 175 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yy().
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Definition at line 175 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and yz().
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Definition at line 176 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zx().
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Definition at line 176 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zy().
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Definition at line 176 of file CLHEP/Geometry/Transform3D.h.
Referenced by inverse(), isNear(), operator()(), operator*(), operator==(), setIdentity(), setTransform(), and zz().