Quaternion Class Reference

#include <Quaternion.h>

Inheritance diagram for Quaternion:

Collaboration diagram for Quaternion:

Public Member Functions
	Quaternion ()
	Quaternion (const Quaternion &)
	Quaternion (const double &, const double &, const double &, const double &)
	Quaternion (const Vector_t &)
	Quaternion (const double &, const Vector_t &)
	Quaternion (const Tenzor< double, 3 > &)
Quaternion	operator* (const double &) const
Quaternion	operator* (const Quaternion &) const
Quaternion &	operator= (const Quaternion &)=default
Quaternion &	operator*= (const Quaternion &)
Quaternion	operator/ (const double &) const
double	Norm () const
double	length () const
Quaternion &	normalize ()
bool	isUnit () const
bool	isPure () const
bool	isPureUnit () const
Quaternion	inverse () const
Quaternion	conjugate () const
double	real () const
Vector_t	imag () const
Vector_t	rotate (const Vector_t &) const
Tenzor< double, 3 >	getRotationMatrix () const
Public Member Functions inherited from Vektor< double, 4 >
	Vektor ()
	Vektor (const Vektor< double, D > &rhs)
	Vektor (const Vektor< T1, D1 > &rhs)
	Vektor (const double &x00)
	Vektor (const double &x00, const double &x01)
	Vektor (const double &x00, const double &x01, const double &x02)
	Vektor (const double &x00, const double &x01, const double &x02, const double &x03)
	~Vektor ()
const Vektor< double, D > &	operator= (const Vektor< double, D > &rhs)
const Vektor< double, D > &	operator= (const Vektor< T1, D > &rhs)
const Vektor< double, D > &	operator= (const double &rhs)
Vektor< double, D > &	operator+= (const Vektor< T1, D > &rhs)
Vektor< double, D > &	operator+= (const double &rhs)
Vektor< double, D > &	operator-= (const Vektor< T1, D > &rhs)
Vektor< double, D > &	operator-= (const double &rhs)
Vektor< double, D > &	operator*= (const Vektor< T1, D > &rhs)
Vektor< double, D > &	operator*= (const double &rhs)
Vektor< double, D > &	operator/= (const Vektor< T1, D > &rhs)
Vektor< double, D > &	operator/= (const double &rhs)
Element_t &	operator[] (unsigned int i)
Element_t	operator[] (unsigned int i) const
Element_t &	operator() (unsigned int i)
Element_t	operator() (unsigned int i) const
bool	operator== (const Vektor< double, D > &that) const
bool	operator!= (const Vektor< double, D > &that) const
Message &	putMessage (Message &m) const
Message &	getMessage (Message &m)

Additional Inherited Members
Public Types inherited from Vektor< double, 4 >
enum
enum
typedef double	Element_t

Detailed Description

Definition at line 10 of file Quaternion.h.

Constructor & Destructor Documentation

Quaternion() [1/6]

Quaternion::Quaternion ( )

inline

Definition at line 50 of file Quaternion.h.

Referenced by operator*=().

Quaternion() [2/6]

Quaternion::Quaternion ( const Quaternion &  quat )

inline

Definition at line 55 of file Quaternion.h.

Quaternion() [3/6]

Quaternion::Quaternion ( const double &  x0, const double &  x1, const double &  x2, const double &  x3  )

inline

Definition at line 60 of file Quaternion.h.

Quaternion() [4/6]

Quaternion::Quaternion ( const Vector_t &  vec )

inline

Definition at line 65 of file Quaternion.h.

Quaternion() [5/6]

Quaternion::Quaternion ( const double &  realPart, const Vector_t &  vec  )

inline

Definition at line 70 of file Quaternion.h.

Quaternion() [6/6]

Quaternion::Quaternion

(

const Tenzor< double, 3 > &

M

)

Definition at line 22 of file Quaternion.cpp.

References abs(), copysign(), max(), and sqrt().

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Member Function Documentation

conjugate()

Quaternion Quaternion::conjugate ( ) const

inline

Definition at line 105 of file Quaternion.h.

References imag(), and real().

Referenced by OpalBeamline::compute3DLattice(), ParallelTTracker::computeSpaceChargeFields(), Util::getTaitBryantAngles(), inverse(), CoordinateSystemTrafo::invert(), CoordinateSystemTrafo::operator*=(), CoordinateSystemTrafo::print(), H5PartWrapperForPT::readStepHeader(), rotate(), OpalBeamline::save3DInput(), Bend2D::setFieldCalcParam(), and OpalElement::update().

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getRotationMatrix()

Tenzor< double, 3 > Quaternion::getRotationMatrix

(

)

const

Definition at line 135 of file Quaternion.cpp.

References normalize().

Referenced by CoordinateSystemTrafo::operator*=().

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imag()

Vector_t Quaternion::imag ( ) const

inline

Definition at line 119 of file Quaternion.h.

Referenced by conjugate(), operator*(), operator*=(), and operator/().

inverse()

Quaternion Quaternion::inverse

(

)

const

Definition at line 115 of file Quaternion.cpp.

References conjugate(), and normalize().

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isPure()

bool Quaternion::isPure ( ) const

inline

Definition at line 93 of file Quaternion.h.

References abs(), and Physics::e.

Referenced by isPureUnit().

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isPureUnit()

bool Quaternion::isPureUnit ( ) const

inline

Definition at line 99 of file Quaternion.h.

References isPure(), and isUnit().

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isUnit()

bool Quaternion::isUnit ( ) const

inline

Definition at line 87 of file Quaternion.h.

References abs(), Physics::e, and Norm().

Referenced by isPureUnit(), and rotate().

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length()

double Quaternion::length ( ) const

inline

Definition at line 81 of file Quaternion.h.

References Norm(), and sqrt().

Referenced by normalize().

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Norm()

double Quaternion::Norm ( ) const

inline

Definition at line 75 of file Quaternion.h.

References dot().

Referenced by isUnit(), length(), normalize(), and rotate().

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normalize()

Quaternion & Quaternion::normalize

(

)

Definition at line 102 of file Quaternion.cpp.

References Physics::e, length(), and Norm().

Referenced by getRotationMatrix(), inverse(), and CoordinateSystemTrafo::operator*=().

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operator*() [1/2]

Quaternion Quaternion::operator*

(

const double &

d

)

const

Definition at line 71 of file Quaternion.cpp.

References imag(), and real().

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operator*() [2/2]

Quaternion Quaternion::operator*

(

const Quaternion &

other

)

const

Definition at line 78 of file Quaternion.cpp.

operator*=()

Quaternion & Quaternion::operator*=

(

const Quaternion &

other

)

Definition at line 84 of file Quaternion.cpp.

References cross(), dot(), imag(), and Quaternion().

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operator/()

Quaternion Quaternion::operator/

(

const double &

d

)

const

Definition at line 95 of file Quaternion.cpp.

References imag(), and real().

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operator=()

Quaternion & Quaternion::operator= ( const Quaternion &  )

default

real()

double Quaternion::real ( ) const

inline

Definition at line 113 of file Quaternion.h.

Referenced by conjugate(), operator*(), and operator/().

rotate()

Vector_t Quaternion::rotate

(

const Vector_t &

vec

)

const

Definition at line 122 of file Quaternion.cpp.

References conjugate(), isUnit(), and Norm().

Referenced by OpalBeamline::compute3DLattice(), Bend2D::getOutline(), Bend2D::getSurfaceMesh(), Util::getTaitBryantAngles(), CoordinateSystemTrafo::invert(), CoordinateSystemTrafo::operator*=(), CoordinateSystemTrafo::print(), H5PartWrapperForPT::readStepHeader(), and Bend2D::setFieldCalcParam().

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

• /Users/gsell/src/OPAL/src/src/Classic/Algorithms/Quaternion.h
• /Users/gsell/src/OPAL/src/src/Classic/Algorithms/Quaternion.cpp