OPAL (Object Oriented Parallel Accelerator Library) 2024.2
OPAL
Quaternion Class Reference

#include <Quaternion.h>

Inheritance diagram for Quaternion:
Collaboration diagram for Quaternion:

Public Types

enum  
enum  
typedef double Element_t

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 matrix_t &)
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
matrix_t getRotationMatrix () const
Vektor< double, D > & operator+= (const Vektor< T1, D > &rhs)
Vektor< double, D > & operator-= (const Vektor< T1, D > &rhs)
Vektor< double, D > & operator*= (const Vektor< T1, D > &rhs)
Vektor< double, D > & operator/= (const Vektor< T1, D > &rhs)
Element_t & operator[] (unsigned int i)
Element_t & operator() (unsigned int i)
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)

Private Attributes

double X [D]

Detailed Description

Definition at line 8 of file Quaternion.h.

Member Typedef Documentation

◆ Element_t

typedef double Vektor< double, D >::Element_t
inherited

Definition at line 35 of file ippl/src/AppTypes/Vektor.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
inherited

Definition at line 36 of file ippl/src/AppTypes/Vektor.h.

◆ anonymous enum

anonymous enum
inherited

Definition at line 37 of file ippl/src/AppTypes/Vektor.h.

Constructor & Destructor Documentation

◆ Quaternion() [1/6]

Quaternion::Quaternion ( )
inline

Definition at line 48 of file Quaternion.h.

References Vektor< double, 4 >::Vektor().

Referenced by conjugate(), getRotationMatrix(), inverse(), normalize(), operator*(), operator*(), operator*=(), operator/(), operator=(), Quaternion(), Quaternion(), Quaternion(), and rotate().

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◆ Quaternion() [2/6]

Quaternion::Quaternion ( const Quaternion & quat)
inline

Definition at line 53 of file Quaternion.h.

References Quaternion(), and Vektor< double, 4 >::Vektor().

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◆ Quaternion() [3/6]

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

Definition at line 58 of file Quaternion.h.

References Vektor< double, 4 >::Vektor().

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◆ Quaternion() [4/6]

Quaternion::Quaternion ( const Vector_t & vec)
inline

Definition at line 63 of file Quaternion.h.

References Quaternion().

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◆ Quaternion() [5/6]

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

Definition at line 68 of file Quaternion.h.

References Quaternion().

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◆ Quaternion() [6/6]

Quaternion::Quaternion ( const matrix_t & M)

Definition at line 22 of file Quaternion.cpp.

References Vektor< double, 4 >::Vektor().

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Member Function Documentation

◆ conjugate()

Quaternion Quaternion::conjugate ( ) const
inline

Definition at line 103 of file Quaternion.h.

References imag(), Quaternion(), and real().

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

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◆ getMessage()

Message & Vektor< double, D >::getMessage ( Message & m)
inlineinherited

Definition at line 180 of file ippl/src/AppTypes/Vektor.h.

◆ getRotationMatrix()

matrix_t Quaternion::getRotationMatrix ( ) const

Definition at line 135 of file Quaternion.cpp.

References normalize(), and Quaternion().

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◆ imag()

Vector_t Quaternion::imag ( ) const
inline

Definition at line 117 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(), normalize(), and Quaternion().

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◆ isPure()

bool Quaternion::isPure ( ) const
inline

Definition at line 91 of file Quaternion.h.

Referenced by isPureUnit().

◆ isPureUnit()

bool Quaternion::isPureUnit ( ) const
inline

Definition at line 97 of file Quaternion.h.

References isPure(), and isUnit().

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◆ isUnit()

bool Quaternion::isUnit ( ) const
inline

Definition at line 85 of file Quaternion.h.

References Norm().

Referenced by isPureUnit(), and rotate().

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◆ length()

double Quaternion::length ( ) const
inline

Definition at line 79 of file Quaternion.h.

References Norm().

Referenced by normalize().

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◆ Norm()

double Quaternion::Norm ( ) const
inline

Definition at line 73 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 length(), Norm(), and Quaternion().

Referenced by getRotationMatrix(), and inverse().

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◆ operator!=()

bool Vektor< double, D >::operator!= ( const Vektor< double, D > & that) const
inlineinherited

Definition at line 168 of file ippl/src/AppTypes/Vektor.h.

◆ operator()()

Vektor< double, D >::Element_t & Vektor< double, D >::operator() ( unsigned int i)
inherited

Definition at line 160 of file ippl/src/AppTypes/Vektor.h.

◆ operator*() [1/2]

Quaternion Quaternion::operator* ( const double & d) const

Definition at line 71 of file Quaternion.cpp.

References imag(), Quaternion(), and real().

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◆ operator*() [2/2]

Quaternion Quaternion::operator* ( const Quaternion & other) const

Definition at line 78 of file Quaternion.cpp.

References Quaternion().

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◆ operator*=() [1/2]

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*=() [2/2]

Vektor< double, D > & Vektor< double, D >::operator*= ( const Vektor< T1, D > & rhs)
inlineinherited

Definition at line 130 of file ippl/src/AppTypes/Vektor.h.

◆ operator+=()

Vektor< double, D > & Vektor< double, D >::operator+= ( const Vektor< T1, D > & rhs)
inlineinherited

Definition at line 106 of file ippl/src/AppTypes/Vektor.h.

◆ operator-=()

Vektor< double, D > & Vektor< double, D >::operator-= ( const Vektor< T1, D > & rhs)
inlineinherited

Definition at line 118 of file ippl/src/AppTypes/Vektor.h.

◆ operator/()

Quaternion Quaternion::operator/ ( const double & d) const

Definition at line 95 of file Quaternion.cpp.

References imag(), Quaternion(), and real().

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◆ operator/=()

Vektor< double, D > & Vektor< double, D >::operator/= ( const Vektor< T1, D > & rhs)
inlineinherited

Definition at line 142 of file ippl/src/AppTypes/Vektor.h.

◆ operator=()

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

References Quaternion().

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◆ operator==()

bool Vektor< double, D >::operator== ( const Vektor< double, D > & that) const
inlineinherited

Definition at line 165 of file ippl/src/AppTypes/Vektor.h.

◆ operator[]()

Vektor< double, D >::Element_t & Vektor< double, D >::operator[] ( unsigned int i)
inherited

Definition at line 156 of file ippl/src/AppTypes/Vektor.h.

◆ putMessage()

Message & Vektor< double, D >::putMessage ( Message & m) const
inlineinherited

Definition at line 174 of file ippl/src/AppTypes/Vektor.h.

◆ real()

double Quaternion::real ( ) const
inline

Definition at line 111 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(), Norm(), and Quaternion().

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

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Member Data Documentation

◆ X

double Vektor< double, D >::X[D]
privateinherited

Definition at line 188 of file ippl/src/AppTypes/Vektor.h.

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