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A physics engine in curved space-time
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NearPolePiToEF Class Reference

Coordinate conversion from stereographic coordinates near pole theta=pi to EF. More...

#include <kerr_coords.h>

Inheritance diagram for NearPolePiToEF:
CoordinateConversion

Public Member Functions

Point convertPoint (Point)
 Conversion of a point. More...
 
double jacobian (int, int, Point)
 Jacobian of the conversion. More...
 
double inv_jacobian (int, int, Point)
 Inverse jacobian of the conversion. More...
 
- Public Member Functions inherited from CoordinateConversion
 CoordinateConversion ()
 Constructor.
 
virtual ~CoordinateConversion ()
 Destructor.
 

Detailed Description

Coordinate conversion from stereographic coordinates near pole theta=pi to EF.

Member Function Documentation

Point NearPolePiToEF::convertPoint ( Point  p)
virtual

Conversion of a point.

This method converts a single point to a different coordinate system.

Parameters
pPoint to be converted
Returns
Converted point

Implements CoordinateConversion.

double NearPolePiToEF::inv_jacobian ( int  i,
int  j,
Point  p 
)
virtual

Inverse jacobian of the conversion.

This method returns the inverse jacobian (matrix of partial derivatives) of the transformation between coordinate systems.

Parameters
iThe number of the row
jThe number of the column
pThe point at which the jacobian is calculated
Returns
dy^i/dx^j(p), where y^i - new coordinates, x^j - old coordinates

Implements CoordinateConversion.

double NearPolePiToEF::jacobian ( int  i,
int  j,
Point  p 
)
virtual

Jacobian of the conversion.

This method returns the jacobian (matrix of partial derivatives) of the transformation between coordinate systems.

Parameters
iThe number of the row
jThe number of the column
pThe point at which the jacobian is calculated
Returns
dx^i/dy^j(p), where x^i - old coordinates, y^j - new coordinates

Implements CoordinateConversion.


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