#include <CoordinateTransform.h>

Public Member Functions
	CoordinateTransform ()=delete

	CoordinateTransform (const double &xlab, const double &ylab, const double &zlab, const double &s_0, const double &lambdaleft, const double &lambdaright, const double &rho)

	CoordinateTransform (const CoordinateTransform &transform)

	~CoordinateTransform ()

CoordinateTransform &	operator= (const CoordinateTransform &transform)

std::vector< double >	getTransformation () const

std::vector< double >	calcReferenceTrajectory (const double &s) const

std::vector< double >	getUnitTangentVector (const double &s) const

Private Member Functions
void	calcSCoordinate (const double &xlab, const double &ylab)

void	calcXCoordinate (const double &xlab, const double &ylab)

void	transformFromEntranceCoordinates (std::vector< double > &coordinates, const double &boundingBoxLength)

Private Attributes
double	s_0_m

double	lambdaleft_m

double	lambdaright_m

double	rho_m

double	x_m

double	z_m

double	s_m

Static Private Attributes
static const double	error = 1e-10

static const int	workspaceSize = 1000

static const int	algorithm = GSL_INTEG_GAUSS61

Detailed Description

Definition at line 59 of file CoordinateTransform.h.

Constructor & Destructor Documentation

coordinatetransform::CoordinateTransform::CoordinateTransform ( )

delete

Default constructor, transforms everything to the origin

coordinatetransform::CoordinateTransform::CoordinateTransform	(	const double &	xlab,
		const double &	ylab,
		const double &	zlab,
		const double &	s_0,
		const double &	lambdaleft,
		const double &	lambdaright,
		const double &	rho
	)

Constructor, calculates coordinate transformation from lab coordinates to Frenet-Serret coordinates, given fringe field parameters

Parameters

xlab	-> x-coordinate in lab frame
ylab	-> y-coordinate in lab frame
zlab	-> z-coordinate in lab frame
s_0	-> Centre field length
lambdaleft	-> Left end field length
lambdaright	-> Right end field length
rho	-> Centre radius of curvature

Definition at line 45 of file CoordinateTransform.cpp.

References calcSCoordinate(), calcXCoordinate(), and z_m.

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coordinatetransform::CoordinateTransform::CoordinateTransform ( const CoordinateTransform & transform )

Copy constructor

Definition at line 63 of file CoordinateTransform.cpp.

coordinatetransform::CoordinateTransform::~CoordinateTransform ( )

Destructor, does nothing

Definition at line 70 of file CoordinateTransform.cpp.

Member Function Documentation

std::vector< double > coordinatetransform::CoordinateTransform::calcReferenceTrajectory ( const double & s ) const

Calculates reference trajectory by integrating the unit tangent vector

Parameters

s	-> s-coordinate in local Frenet-Serret coordinates

Definition at line 107 of file CoordinateTransform.cpp.

References algorithm, endl(), error, coordinatetransform::getUnitTangentVectorX(), coordinatetransform::getUnitTangentVectorY(), lambdaleft_m, lambdaright_m, rho_m, s_0_m, and workspaceSize.

Referenced by calcSCoordinate(), calcXCoordinate(), VarRadiusGeometry::getTransform(), and transformFromEntranceCoordinates().

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void coordinatetransform::CoordinateTransform::calcSCoordinate	(	const double &	xlab,
		const double &	ylab
	)

private

Calculates the coordinate s

Parameters

xlab	-> x-coordinate in lab frame
ylab	-> y-coordinate in lab frame

Definition at line 136 of file CoordinateTransform.cpp.

References calcReferenceTrajectory(), Physics::e, fabs(), getUnitTangentVector(), lambdaleft_m, lambdaright_m, Hypervolume::n, s_0_m, and s_m.

Referenced by CoordinateTransform().

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void coordinatetransform::CoordinateTransform::calcXCoordinate	(	const double &	xlab,
		const double &	ylab
	)

private

Calculates the coordinate x, coordinate s must be calculated first!

Parameters

xlab	-> x-coordinate in lab frame
ylab	-> y-coordinate in lab frame

Definition at line 176 of file CoordinateTransform.cpp.

References calcReferenceTrajectory(), getUnitTangentVector(), s_m, and x_m.

Referenced by CoordinateTransform().

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std::vector< double > coordinatetransform::CoordinateTransform::getTransformation ( ) const

Returns a list of transformed coordinates

Definition at line 85 of file CoordinateTransform.cpp.

References s_m, x_m, and z_m.

Referenced by MultipoleTCurvedVarRadius::transformCoords(), and MultipoleT::transformCoords().

std::vector< double > coordinatetransform::CoordinateTransform::getUnitTangentVector ( const double & s ) const

Returns unit tangent vector

Parameters

s	-> s-coordinate in local Frenet-Serret coordinates

Definition at line 93 of file CoordinateTransform.cpp.

References cos(), cosh(), lambdaleft_m, lambdaright_m, log(), rho_m, s_0_m, sin(), and tanh().

Referenced by calcSCoordinate(), calcXCoordinate(), VarRadiusGeometry::getTransform(), and transformFromEntranceCoordinates().

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CoordinateTransform & coordinatetransform::CoordinateTransform::operator= ( const CoordinateTransform & transform )

Assigment operator

Definition at line 73 of file CoordinateTransform.cpp.

References lambdaleft_m, lambdaright_m, rho_m, s_0_m, s_m, x_m, and z_m.

void coordinatetransform::CoordinateTransform::transformFromEntranceCoordinates	(	std::vector< double > &	coordinates,
		const double &	boundingBoxLength
	)

private

Transforms from coordinate system centred in the middle of the magnet to the coordinate system placed at the entrance

Parameters

coordinates	-> Coordinates in coordinate system centred in the middle of the magnet
boundingBoxLength	-> Length along the magnet from the magnet entrance to the middle of the magnet

Definition at line 184 of file CoordinateTransform.cpp.

References calcReferenceTrajectory(), and getUnitTangentVector().

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