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PLib::MatrixRT Class Template Reference

a matrix for rotation and translation transformation. More...

#include <matrixRT.h>

Inheritance diagram for PLib::MatrixRT:

List of all members.

Public Methods
	MatrixRT (T ax, T ay, T az, T x, T y, T z)
	MatrixRT ()
	MatrixRT (T *p)
	MatrixRT (const Matrix< T > &plM)
MatrixRT< T > &	rotate (T ax, T ay, T az)
MatrixRT< T > &	rotateXYZ (T ax, T ay, T az)
MatrixRT< T > &	translate (T x, T y, T z)
MatrixRT< T > &	scale (T x, T y, T z)
MatrixRT< T > &	rotateDeg (T ax, T ay, T az)
MatrixRT< T > &	rotateDegXYZ (T ax, T ay, T az)
MatrixRT< T > &	operator= (const Matrix< T > &M)
MatrixRT< T > &	operator= (const MatrixRT< T > &M)
Protected Attributes
int	created
Friends
MatrixRT< T >	operator * (const MatrixRT< T > &, const MatrixRT< T > &)

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Detailed Description

template<class T>
class PLib::MatrixRT< T >

a matrix for rotation and translation transformation.

This is a matrix for the rotation, translation and scaling of a point in 3D or 4D.

Author:

Philippe Lavoie

Date:

25 July 1997

Definition at line 52 of file matrixRT.h.

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Constructor & Destructor Documentation

template<class T> PLib::MatrixRT< T >::MatrixRT (  T    ax, T    ay, T    az, T    x, T    y, T    z )

constructor with the angles and translation parameters specified. Sets the matrixRT to be a rotation of ax,ay,az then a translation x,y,z around the origin. Parameters: ax  specifies the rotation around the x-axis ay  specifies the rotation around the y-axis az  specifies the rotation around the z-axis x  specifies the translation along the x-axis y  specifies the translation along the y-axis z  specifies the translation along the z-axis Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 53 of file matrixRT.cpp. References PLib::Basic2DArray::m, and rotate.

template<class T> PLib::MatrixRT< T >::MatrixRT (    )

default constructor. Default constructor Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 77 of file matrixRT.cpp. References PLib::Matrix::diag, and PLib::Basic2DArray::reset.

template<class T> PLib::MatrixRT< T >::MatrixRT (  T *    p )

Constructor from using a formated memory location. Parameters: p  a vector of data composing the matrix Warning: Make sure the ordering is adequate, i.e. either column or row wise. Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 119 of file matrixRT.cpp.

template<class T> PLib::MatrixRT< T >::MatrixRT (  const Matrix< T > &    plM )

copy constructor. Copy constructor Parameters: plM  the matrix to copy Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 93 of file matrixRT.cpp.

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Member Function Documentation

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::operator= (  const MatrixRT< T > &    M )

The assignment operator with a matrixRT. Parameters: M  the matrix Returns: A reference to itself Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 440 of file matrixRT.cpp. References PLib::Basic2DArray::m.

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::operator= (  const Matrix< T > &    M )

The assignment operator with a matrix. Parameters: M  the matrix Returns: A reference to itself Warning: The matrix must be of size 4x4 Author: Philippe Lavoie Date: 25 July, 1997 Reimplemented from PLib::Matrix. Definition at line 415 of file matrixRT.cpp. References PLib::Basic2DArray::m.

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::rotate (  T    ax, T    ay, T    az )

creates a rotation matrix of angle (ax,ay,az). The rotation are clockwise around the main axes. The rotation is performed in that order: a rotation around the z-axis, then the y-axis and finally around the x-axis. Parameters: ax  specifies the rotation around the x-axis ay  specifies the rotation around the y-axis az  specifies the rotation around the z-axis See also: rotateXYZ Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 140 of file matrixRT.cpp. References PLib::Basic2DArray::m. Referenced by MatrixRT, and rotateDeg.

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::rotateXYZ (  T    ax, T    ay, T    az )

creates a rotation matrix of angle (ax,ay,az). The rotation are clockwise around the main axes. The rotation is performed in that order: a rotation around the x-axis, then the y-axis and finally around the z-axis. Parameters: ax  specifies the rotation around the x-axis ay  specifies the rotation around the y-axis az  specifies the rotation around the z-axis See also: rotate Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 199 of file matrixRT.cpp. References PLib::Basic2DArray::m. Referenced by rotateDegXYZ.

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::scale (  T    x, T    y, T    z )

Generates a scaling matrix. Parameters: x  specifies the scaling along the $x$-axis y  specifies the scaling along the $y$-axis z  specifies the scaling along the $z$-axis Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 277 of file matrixRT.cpp. References PLib::Basic2DArray::m, and PLib::Basic2DArray::reset. Referenced by PLib::NurbsSurfaceGL::applyTransform, and PLib::NurbsCurveGL::applyTransform.

template<class T> MatrixRT< T > & PLib::MatrixRT< T >::translate (  T    x, T    y, T    z )

Generates a translation matrix. Parameters: x  specifies the translation along the $x$-axis y  specifies the translation along the $y$-axis z  specifies the translation along the $z$-axis Warning: This resets the rotation part of the matrix Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 251 of file matrixRT.cpp. References PLib::Matrix::diag, PLib::Basic2DArray::m, and PLib::Basic2DArray::reset. Referenced by PLib::NurbsSurface::sweep.

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Friends And Related Function Documentation

template<class T> MatrixRT<T> operator * (  const MatrixRT< T > &   , const MatrixRT< T > &    )  [friend]

Multiplies a matrixRT with a MatrixRT. Parameters: m1  the first matrix m2  the second matrix Returns: a new matrixRT Warning: Be aware of the way C++ handles function calls. If you want to generate a matrixRT from different ones, you can't do A = A.translate(x,y,z)*A.rotate(ax,ay,az) , since the translate and rotate return *this, when reaching the * operator, the function will be called with the same argument on its left and right. Instead, use something like this: A = A.translate(x,y,z)*B.rotate(ax,ay,az) . Author: Philippe Lavoie Date: 25 July, 1997 Definition at line 349 of file matrixRT.cpp.

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

• matrixRT.h
• matrixRT.cpp

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