HepTransform3D

HepTransform3D describes affine transformations (translations, rotations, scalings and reflections) of 3D space. In addition to the main HepTransform3D class there are 16 auxiliary subclasses which should be used only as additional constructors of HepTransform3D objects.

Author

Evgueni Tcherniaev

Declaration

#include "CLHEP/Geometry/Transform3D.h"

class HepTransform3D

Constants

HepTransform3D::Identity: Identity transformation.

Public Member Classes

HepTransform3D_row

Helper class to implement r[i][j]

Declaration: class HepTransform3D_row
Constructor: inline HepTransform3D_row(const HepTransform3D &, int)
[]: const HepDouble & operator[](int) const

Public Member Functions

Constructor: HepTransform3D(); Default constructor. Produces an identity transformation.
Constructor: inline HepTransform3D(const HepRotation &m, const Hep3Vector &v); Rotation and then translation.
Constructor: HepTransform3D(const HepPoint3D &fr0, const HepPoint3D &fr1, const HepPoint3D &fr2, const HepPoint3D &to0, const HepPoint3D &to1, const HepPoint3D &to2); Transformation of basis. It is given by original and transformed positions of three points.
Copy constructor: HepTransform3D(const HepTransform3D &m)
=: HepTransform3D & operator = (const HepTransform3D &m); Assignment.
*: inline HepPoint3D operator * (const HepPoint3D &p) const; Transformation of HepPoint3D.; inline HepNormal3D operator * (const HepNormal3D &n) const; Transformation of HepNormal3D.; inline HepVector3D operator * (const HepVector3D &v) const; Transformation of HepVector3D.; inline HepTransform3D operator * (const HepTransform3D &b) const; Compound transformation.
==: HepBoolean operator == (const HepTransform3D &transform) const; Test for equality.
[]: inline const HepTransform3D_row operator [] (int i) const; Returns object of the helper class for C-style subscripting r[i][j].
(): HepBoolean operator () (int i, int j) const; Fortran-style subscripting: returns (i,j) element of the matrix.
getDecomposition: void getDecomposition(HepScale3D & s, HepRotate3D & r, HepTranslate3D & t) const; Decomposition of general transformation on three consequentive; specific transformations: Scale, then Rotation, then Translation, i.e.; Transformation = Translation * Rotation * Scale; If there was a reflection, then ScaleZ will be negative.
getRotation: inline HepRotation getRotation() const; Extract the rotation matrix.
getTranslation: inline Hep3Vector getTranslation() const; Extract the translation vector.
inverse: HepTransform3D inverse() const; Returns the inverse transformation.
setIdentity: void setIdentity(); Set identity transformation.