Provide operations for quaternion arithmetic. More...

#include <Quaternion.h>

Collaboration diagram for Isis::Quaternion:

Public Member Functions
	Quaternion ()
	Constructs an empty quaternion. More...

	Quaternion (const std::vector< double > matrix)
	Construct a Quaternion class from a matrix stored as a vector < double > with 9 elements or from a quaternion stored as a vector < double > with 4 elements. More...

	~Quaternion ()
	Destroys the Quaternion object. More...

std::vector< double >	ToMatrix ()
	Converts quaternion to 3x3 rotational matrix. More...

std::vector< double >	ToAngles (int axis3, int axis2, int axis1)
	Return the camera angles (right ascension, declination, and twist) for the quaternion. More...

void	Set (std::vector< double >)
	Sets the quaternion value. More...

std::vector< double >	GetQuaternion () const
	Return the quaternion as a vector. More...

Quaternion &	operator= (const Quaternion &quat)
	Assign value of quaternion class to another quaternion. More...

Quaternion &	operator*= (const Quaternion &quat)
	Multiply current Naif quaternion by another Naif quaternion, replacing the current quaternion. More...

Quaternion	operator* (const Quaternion &quat) const
	Multiply two Naif quaternions to create a new quaternion. More...

Quaternion	operator* (const double &scalar)
	Multiply a quaternion by a scalar. More...

double &	operator[] (int index)
	Return a member of a quaternion. More...

std::vector< double >	Qxv (const std::vector< double > &vin)
	Multiply a vector by a quaternion (rotate the vector) More...

Quaternion	Conjugate ()
	Returns the conjugate of the quaternion. More...

Private Member Functions
void	Polish (Quaternion &quat)
	Polish the quaternion – make the first component positive. More...

Private Attributes
std::vector< double >	p_quaternion
	Quaternion. More...

Detailed Description

Provide operations for quaternion arithmetic.

This class provides a wrapper for existing Naif quaternion functions and also includes other operators and methods useful for working with quaternions.

Author: 2005-12-07 Debbie A. Cook

History:: ????-??-?? Steven Lambright Fixed documentation

History:: 2015-07-21 Kristin Berry - Added NaifStatus::CheckErrors() to see if any NAIF errors were signaled. References #2248.

Definition at line 36 of file Quaternion.h.

Constructor & Destructor Documentation

◆ Quaternion() [1/2]

Isis::Quaternion::Quaternion ( )

Constructs an empty quaternion.

Definition at line 26 of file Quaternion.cpp.

References p_quaternion.

◆ Quaternion() [2/2]

Isis::Quaternion::Quaternion ( const std::vector< double > rotation )

Construct a Quaternion class from a matrix stored as a vector < double > with 9 elements or from a quaternion stored as a vector < double > with 4 elements.

Parameters

rotation rotation defined as either a matrix or another quaternion loaded as a vector

Definition at line 42 of file Quaternion.cpp.

References p_quaternion, and Set().

◆ ~Quaternion()

Isis::Quaternion::~Quaternion ( )

Destroys the Quaternion object.

Definition at line 49 of file Quaternion.cpp.

Member Function Documentation

◆ Conjugate()

Quaternion Isis::Quaternion::Conjugate ( )

Returns the conjugate of the quaternion.

Definition at line 197 of file Quaternion.cpp.

References p_quaternion.

Referenced by Qxv().

◆ GetQuaternion()

std::vector<double> Isis::Quaternion::GetQuaternion ( ) const

inline

Return the quaternion as a vector.

Definition at line 54 of file Quaternion.h.

References p_quaternion.

◆ operator*() [1/2]

Quaternion Isis::Quaternion::operator* ( const double & scalar )

Multiply a quaternion by a scalar.

Just multiply the rotation part and polish the resulting quaternion so it is still a unit quaternion with positive rotation. For example,

Quaternion q1(),q(2);
double scalar
...
q2() = scalar*q2;

Parameters

[in] scalar (const double &) scalar value to be multiplied times the current quaternion

Returns: (Quaternion) product of scalar and quaternion

Definition at line 172 of file Quaternion.cpp.

References p_quaternion, Polish(), and Isis::IException::Programmer.

◆ operator*() [2/2]

Quaternion Isis::Quaternion::operator* ( const Quaternion & quat ) const

Multiply two Naif quaternions to create a new quaternion.

For example,

Quaternion q1(),q(2);
...
Quaternion q3() = q1*q2;

More information is available on quaternions and the multiplication algorithm in the Naif routine qxq_c.c

Parameters

[in] quat (const Quaternion &) quaternion to multiply on the right

Returns: (Quaternion) product of quaternions

Definition at line 147 of file Quaternion.cpp.

◆ operator*=()

Quaternion & Isis::Quaternion::operator*= ( const Quaternion & quat )

Multiply current Naif quaternion by another Naif quaternion, replacing the current quaternion.

For example,

Quaternion q1(),q(2);
...
Quaternion q2() *= q1;

More information on quaternions and the multiplication algorithm is available in the Naif routine qxq_c.

Parameters

[in] quat (const Quaternion &) quaternion to multiply on the right

Returns: (Quaternion) product of quaternions

Definition at line 117 of file Quaternion.cpp.

References p_quaternion.

◆ operator=()

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

Assign value of quaternion class to another quaternion.

For example,

Quaternion q1( matrix );
Quaternion q2();
...
q2 = q1;

Parameters

quat	The Quaternion to copy

Definition at line 95 of file Quaternion.cpp.

References p_quaternion.

◆ operator[]()

double& Isis::Quaternion::operator[] ( int index )

inline

Return a member of a quaternion.

For example,

 Quaternion q();
...
 double angle = q[0];

Parameters

[in] index (const int &) quaternion member to return

Returns: (double&) value pointed to by iter

Definition at line 79 of file Quaternion.h.

References p_quaternion.

◆ Polish()

void Isis::Quaternion::Polish ( Quaternion & quat )

private

Polish the quaternion – make the first component positive.

Definition at line 242 of file Quaternion.cpp.

References p_quaternion.

Referenced by operator*().

◆ Qxv()

std::vector< double > Isis::Quaternion::Qxv ( const std::vector< double > & vin )

Multiply a vector by a quaternion (rotate the vector)

Parameters

[in] vin (const std::vector<double>(3)) Vector to be multiplied (rotated)

Definition at line 215 of file Quaternion.cpp.

References Conjugate(), p_quaternion, and Isis::IException::Programmer.

◆ Set()

void Isis::Quaternion::Set ( std::vector< double > rotation )

Sets the quaternion value.

Parameters

rotation rotation defined as either a matrix or a set of 3 angles

Definition at line 56 of file Quaternion.cpp.

References Isis::NaifStatus::CheckErrors(), p_quaternion, and Isis::IException::Programmer.

Referenced by Quaternion().

◆ ToAngles()

std::vector< double > Isis::Quaternion::ToAngles	(	int	axis3,
		int	axis2,
		int	axis1
	)

Return the camera angles (right ascension, declination, and twist) for the quaternion.

Definition at line 260 of file Quaternion.cpp.

References Isis::NaifStatus::CheckErrors(), and ToMatrix().

◆ ToMatrix()

std::vector< double > Isis::Quaternion::ToMatrix ( )

Converts quaternion to 3x3 rotational matrix.

Definition at line 75 of file Quaternion.cpp.

References p_quaternion.

Referenced by Isis::SpiceRotation::LoadCache(), and ToAngles().

Member Data Documentation

◆ p_quaternion

std::vector<double> Isis::Quaternion::p_quaternion

private

Quaternion.

Definition at line 93 of file Quaternion.h.

Referenced by Conjugate(), GetQuaternion(), operator*(), operator*=(), operator=(), operator[](), Polish(), Quaternion(), Qxv(), Set(), and ToMatrix().

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

src/base/objs/Quaternion/Quaternion.h
src/base/objs/Quaternion/Quaternion.cpp

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Quaternion() [1/2]

◆ Quaternion() [2/2]

◆ ~Quaternion()

Member Function Documentation

◆ Conjugate()

◆ GetQuaternion()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator=()

◆ operator[]()

◆ Polish()

◆ Qxv()

◆ Set()

◆ ToAngles()

◆ ToMatrix()

Member Data Documentation

◆ p_quaternion