/home/mweber/Dokumente/CMS/Alignment/kalmanalignment/trunk/simulation/ThreeDModel.cc File Reference

Definition of functions and procedures for 3D manipulation with matrices. More...

#include <iostream>
#include <TRandom.h>
#include <TMath.h>
#include "Utilities.h"
#include "ThreeDModel.h"

Functions
void	FillRotMatrixKarimaki (HepMatrix &m, double alpha, double beta, double gamma)
void	GetAnglesKarimaki (const HepMatrix &m, double &alpha, double &beta, double &gamma)
void	testAnglesKarimaki ()
void	FillRotMatrixPolar (HepMatrix &m, double theta, double phi)
void	testAnglesPolar ()
void	testMixedAngles (int num)

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Detailed Description

Definition of functions and procedures for 3D manipulation with matrices.

Rotations are always defined to transform global coordinates to local coordinates. (GEANT convention).

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Function Documentation

void FillRotMatrixKarimaki	(	HepMatrix &	m,
		double	alpha,
		double	beta,
		double	gamma
	)

Fill a rotation matrix with the Karimaki angles alpha, beta, gamma.

rotation matrix definition from Veikko Karimaki

void FillRotMatrixPolar	(	HepMatrix &	m,
		double	theta,
		double	phi
	)

Fill a rotation matrix with polar angles. Only two angles (theta, phi) must be given, the third rotation angle is assumed to be zero. In order to get a vector in a global coordinate system with polar angle theta and azimuth angle phi, one has to apply the inverse rotation to a vector along z in the local coordinate frame (0, 0, 1).

void GetAnglesKarimaki	(	const HepMatrix &	m,
		double &	alpha,
		double &	beta,
		double &	gamma
	)

Extract from a rotation matrix the Karimaki angles alpha, beta, gamma.

void testAnglesKarimaki

(

)

Test the Karimaki rotation matrices.

void testAnglesPolar

(

)

Test polar angle functions (FillRotMatrixPolar)

void testMixedAngles

(

int

num

)

Test a matrix by generating a random matrix with polar angles and extract the Karimaki angles. Then the Karimaki angles are used to filled another matrix, and the two matrices are being compared.