Interface for converting between world and pixel coordinates. More...

#include <Coordinate.h>

Inheritance diagram for casa::Coordinate:

Public Types
enum	Type { LINEAR, DIRECTION, SPECTRAL, STOKES, TABULAR, QUALITY, COORDSYS }
	This enum lists the types of the derived classes. More...
enum	formatType { DEFAULT, SCIENTIFIC, FIXED, MIXED, TIME }
	This enum is used for formatting world values into Strings. More...
Public Member Functions
virtual	~Coordinate ()
	Destructor.
virtual Type	type () const =0
	List the type of this Coordinate object.
virtual String	showType () const =0
virtual uInt	nPixelAxes () const =0
	How many world/pixel axes are there in this Coordinate? While the number of world and pixel axes will generally be the same, it is not a requirement.
virtual uInt	nWorldAxes () const =0
virtual Bool	toWorld (Vector< Double > &world, const Vector< Double > &pixel) const =0
	Convert an absolute pixel position to an absolute world position or vice versa.
virtual Bool	toPixel (Vector< Double > &pixel, const Vector< Double > &world) const =0
virtual Bool	toMix (Vector< Double > &worldOut, Vector< Double > &pixelOut, const Vector< Double > &worldIn, const Vector< Double > &pixelIn, const Vector< Bool > &worldAxes, const Vector< Bool > &pixelAxes, const Vector< Double > &worldMin, const Vector< Double > &worldMax) const
	Mixed absolute pixel/world coordinate conversion.
virtual Bool	setWorldMixRanges (const IPosition &shape)
	Set the world min and max ranges, for use in function `toMix`, for a lattice of the given shape for this coordinate.
virtual void	setDefaultWorldMixRanges ()
Vector< Double >	worldMixMin () const
Vector< Double >	worldMixMax () const
virtual Bool	toWorldMany (Matrix< Double > &world, const Matrix< Double > &pixel, Vector< Bool > &failures) const
	Batch up a lot of transformations.
virtual Bool	toPixelMany (Matrix< Double > &pixel, const Matrix< Double > &world, Vector< Bool > &failures) const
virtual void	makePixelRelative (Vector< Double > &pixel) const
	Make absolute coordinates relative and vice-versa (with respect to the reference value).
virtual void	makePixelAbsolute (Vector< Double > &pixel) const
virtual void	makeWorldRelative (Vector< Double > &world) const
virtual void	makeWorldAbsolute (Vector< Double > &world) const
virtual void	makeWorldAbsoluteRef (Vector< Double > &world, const Vector< Double > &refVal) const
	Make absolute coordinates relative and vice versa with respect to the given reference value.
virtual void	makePixelRelativeMany (Matrix< Double > &pixel) const
	Batch up a lot of absolute/relative transformations.
virtual void	makePixelAbsoluteMany (Matrix< Double > &pixel) const
virtual void	makeWorldRelativeMany (Matrix< Double > &world) const
virtual void	makeWorldAbsoluteMany (Matrix< Double > &world) const
virtual Vector< String >	worldAxisNames () const =0
	Return the requested attributed.
virtual Vector< Double >	referencePixel () const =0
virtual Matrix< Double >	linearTransform () const =0
virtual Vector< Double >	increment () const =0
virtual Vector< Double >	referenceValue () const =0
virtual Vector< String >	worldAxisUnits () const =0
virtual Bool	setWorldAxisNames (const Vector< String > &names)=0
	Set the requested attribute.
virtual Bool	setReferencePixel (const Vector< Double > &refPix)=0
virtual Bool	setLinearTransform (const Matrix< Double > &xform)=0
virtual Bool	setIncrement (const Vector< Double > &inc)=0
virtual Bool	setReferenceValue (const Vector< Double > &refval)=0
virtual Bool	setWorldAxisUnits (const Vector< String > &units)=0
	Change the units.
virtual Coordinate *	makeFourierCoordinate (const Vector< Bool > &axes, const Vector< Int > &shape) const
	Find the Coordinate for when we Fourier Transform ourselves.
const String &	errorMessage () const
	If the last conversion to world or pixel coordinates resulted in an error, report that error.
virtual Bool	near (const Coordinate &other, Double tol=1.0e-6) const =0
	Comparison to fractional tolerance (for floating point values).
virtual Bool	near (const Coordinate &other, const Vector< Int > &excludeAxes, Double tol=1.0e-6) const =0
virtual void	getPrecision (Int &precision, Coordinate::formatType &format, Bool showAsAbsolute, Int defPrecScientific, Int defPrecFixed, Int defPrecTime) const
	Provide a common interface to getting formatted representations of coordinate values.
virtual String	format (String &units, Coordinate::formatType format, Double worldValue, uInt axis, Bool isAbsolute=True, Bool showAsAbsolute=True, Int precision=-1, Bool usePrecForMixed=False) const
String	formatQuantity (String &units, Coordinate::formatType format, const Quantum< Double > &worldValue, uInt axis, Bool isAbsolute=True, Bool showAsAbsolute=True, Int precision=-1)
virtual Bool	save (RecordInterface &container, const String &fieldName) const =0
	Used for persistence.
virtual Coordinate *	clone () const =0
	Make a copy of ourself.
virtual Bool	doNearPixel (const Coordinate &other, const Vector< Bool > &thisAxes, const Vector< Bool > &otherAxes, Double tol=1.0e-6) const
	Comparison only made for specified axes in this and other Coordinate The default implementation should be ok for all Coordinate types except Stokes and Quality...
virtual Coordinate *	rotate (const Quantum< Double > &angle) const
	return the result of rotating the coordinate clockwise through the specified angle.
Static Public Member Functions
static String	typeToString (Coordinate::Type type)
Protected Member Functions
	Coordinate ()
	Default constructor.
	Coordinate (const Coordinate &other)
	Copy constructor (copy semantics)
Coordinate &	operator= (const Coordinate &other)
	Assignment (copy semantics)
void	set_error (const String &errorMsg) const
	Set error message.
Bool	find_scale_factor (String &error, Vector< Double > &factor, const Vector< String > &units, const Vector< String > &oldUnits)
void	fourierUnits (String &nameOut, String &unitOut, String &unitInCanon, Coordinate::Type type, Int axis, const String &unitIn, const String &nameIn) const
	Tries to find a canonical unit for input unit (e.g.
Bool	toWorldWCS (Vector< Double > &world, const Vector< Double > &pixel, wcsprm &wcs) const
	Functions to interconvert pixel<->world via wcs.
Bool	toPixelWCS (Vector< Double > &pixel, const Vector< Double > &world, wcsprm &wcs) const
Bool	toWorldManyWCS (Matrix< Double > &world, const Matrix< Double > &pixel, Vector< Bool > &failures, wcsprm &wcs) const
Bool	toPixelManyWCS (Matrix< Double > &pixel, const Matrix< Double > &world, Vector< Bool > &failures, wcsprm &wcs) const
void	toCurrentMany (Matrix< Double > &world, const Vector< Double > &toCurrentFactors) const
	Functions for handling conversion between the current units and the wcs units.
void	fromCurrentMany (Matrix< Double > &world, const Vector< Double > &toCurrentFactors) const
virtual void	convertTo (Vector< Double > &) const
	Functions for handling conversion between the current reference frame and the native one.
virtual void	convertFrom (Vector< Double > &) const
void	convertToMany (Matrix< Double > &world) const
	Functions for handling conversion between the current reference frame and the native one for many conversions.
void	convertFromMany (Matrix< Double > &world) const
void	pcToXform (Matrix< Double > &xForm, const wcsprm &wcs) const
	Interconvert between wcs PC cards and Matrix xForm format.
void	xFormToPC (wcsprm &wcs, const Matrix< Double > &xForm) const
void	set_wcs (wcsprm &wcs)
	Call wcsset on the wcs structure.
Protected Attributes
Vector< Double >	worldMin_p
	toMix ranges.
Vector< Double >	worldMax_p
Private Member Functions
void	checkFormat (Coordinate::formatType &format, const Bool absolute) const
	Check format type.
void	makeWorldAbsRelMany (Matrix< Double > &value, Bool toAbs) const
void	makePixelAbsRelMany (Matrix< Double > &value, Bool toAbs) const
Private Attributes
String	error_p

Detailed Description

Interface for converting between world and pixel coordinates.

Intended use:

Public interface

Review Status

Reviewed By:: Peter Barnes
Date Reviewed:: 1999/12/24

Prerequisite

Knowledge of astronomical coordinate conversions in general. Probably the best documents are the papers by Mark Calabretta and Eric Greisen. The initial draft from 1996 can be found at http://www.atnf.csiro.au/~mcalabre. It is this draft that the Coordinate classes are based upon. Since then, this paper has evolved into three which can be found at the above address, and will be published in the Astronomy and Astrophysics Supplement Series (probably in 2000). The design has changed since the initial draft. When these papers are finalized, and the IAU has ratified the new standards, WCSLIB (Mark Calabretta's implementation of these conventions) will be revised for the new designs. At that time, the Coordinate classes may also be revised.
Generic AIPS++ classes; especially those in the Arrays module.
Perhaps some of the information in the Measures module.

Synopsis

The Coordinate class defines the generic interface whereby a pixel position is converted to a world (sky, frequency, stokes, ...) position and vice versa. The pixel and world coordinates are in general multi-dimensional values. In general there need not be the same number of pixel and world axes, although this will normally be the case.

The fundamental model is that a pixel is first converted into a relative physical coordinate by:

Subtracting a reference pixel value from the pixel location; then
Multiplying this offset by a general transformation matrix (usually to account for rotation, but any matrix is allowed); then
Multiplying this product by an increment in physical units.

After this linear stage, the final coordinate value is computed from this relative physical unit and a reference value, and possibly some other parameters. In the case of a sky position, these latter include at least the projection type. In the case of a purely linear coordinate, the reference value is merely added to the relative physical coordinate. The interface also allows the axes to be assigned names (reasonable defaults will be selected), and for physical units.

Both absolute and relative coordinates are supported. The main interface supports conversion between absolute pixel and absolute world coordinate. There are then functions to convert absolute coordinates to relative and vice versa. A relative pixel coordinate is defined according to

relative = absolute - reference

A relative world coordinate is similar, although there may be deviations from this formula (e.g. for DirectionCoordinate a cos(latitude) term is incorporated and for StokesCoordinate relative world coordinates are defined to be the same as absolute world coordinates.

Caution: All absolute pixels coordinates are zero relative;

Example

This is a base class so there is no direct example, but see the example in Coordinates.h for use of the derived classes.

Motivation

Encapsulate the common interface to coordinate conversion so that it may be used polymorphically.

Thrown Exceptions

To Do

Perhaps common FITS related interfaces should go in this class.

Definition at line 139 of file Coordinate.h.

Member Enumeration Documentation

enum casa::Coordinate::formatType

This enum is used for formatting world values into Strings.

Enumerator:

DEFAULT	Default; formatter decides.
SCIENTIFIC	Scientific format (e.g. -1.2397E+03)
FIXED	Fixed floating format (e.g. 12.134)
MIXED	Either scientific or floating point, auto-selected by the C++ STL formatting routines. May not be available for all Coordinate types.
TIME	HHH:MM:SS.SSS style formatting.

Definition at line 162 of file Coordinate.h.

enum casa::Coordinate::Type

This enum lists the types of the derived classes.

It is primarly used in the CoordinateSystem class.

Enumerator:

LINEAR	Linear axes.
DIRECTION	A direction. Usually RA/DEC.
SPECTRAL	A spectral axis.
STOKES	A Stokes axis.
TABULAR	A one-dimensional Cooordinate system, usually created from a table although it can also be purely linear.
QUALITY	to mark DATA and ERROR values
COORDSYS	A CoordinateSystem (a collection of Coordinates).

Definition at line 144 of file Coordinate.h.

Constructor & Destructor Documentation

virtual casa::Coordinate::~Coordinate ( ) [virtual]

Destructor.

Needs to be public so the user can delete Coordinate* objects

casa::Coordinate::Coordinate ( ) [protected]

Default constructor.

Make an empty coordinate. Used by derived classes.

casa::Coordinate::Coordinate ( const Coordinate & other ) [protected]

Copy constructor (copy semantics)

Member Function Documentation

void casa::Coordinate::checkFormat	(	Coordinate::formatType &	format,
		const Bool	absolute
	)		const `[private]`

Check format type.

Reimplemented in casa::DirectionCoordinate, and casa::SpectralCoordinate.

virtual Coordinate* casa::Coordinate::clone ( ) const [pure virtual]

Make a copy of ourself.

This pointer has been allocated with new and must be deleted by the caller.

Implemented in casa::CoordinateSystem, casa::SpectralCoordinate, casa::DirectionCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, casa::LinearCoordinate, and casa::QualityCoordinate.

virtual void casa::Coordinate::convertFrom ( Vector< Double > & ) const [inline, protected, virtual]

Reimplemented in casa::DirectionCoordinate, and casa::SpectralCoordinate.

Definition at line 534 of file Coordinate.h.

void casa::Coordinate::convertFromMany ( Matrix< Double > & world ) const [protected]

virtual void casa::Coordinate::convertTo ( Vector< Double > & ) const [inline, protected, virtual]

Functions for handling conversion between the current reference frame and the native one.

The default implementations do nothing. They should be over-ridden in the derived classes.

Reimplemented in casa::DirectionCoordinate, and casa::SpectralCoordinate.

Definition at line 532 of file Coordinate.h.

void casa::Coordinate::convertToMany ( Matrix< Double > & world ) const [protected]

Functions for handling conversion between the current reference frame and the native one for many conversions.

These functions just call the virtual functions for single conversions.

virtual Bool casa::Coordinate::doNearPixel	(	const Coordinate &	other,
		const Vector< Bool > &	thisAxes,
		const Vector< Bool > &	otherAxes,
		Double	tol = `1.0e-6`
	)		const `[virtual]`

Comparison only made for specified axes in this and other Coordinate The default implementation should be ok for all Coordinate types except Stokes and Quality...

Reimplemented in casa::StokesCoordinate, and casa::QualityCoordinate.

const String & casa::Coordinate::errorMessage ( ) const [inline]

If the last conversion to world or pixel coordinates resulted in an error, report that error.

If the last conversion succeeded, it is undefined what this will return (it might well contain the last error message).

Definition at line 572 of file Coordinate.h.

References error_p.

Bool casa::Coordinate::find_scale_factor	(	String &	error,
		Vector< Double > &	factor,
		const Vector< String > &	units,
		const Vector< String > &	oldUnits
	)		`[protected]`

virtual String casa::Coordinate::format	(	String &	units,
		Coordinate::formatType	format,
		Double	worldValue,
		uInt	axis,
		Bool	isAbsolute = `True`,
		Bool	showAsAbsolute = `True`,
		Int	precision = `-1`,
		Bool	usePrecForMixed = `False`
	)		const `[virtual]`

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

String casa::Coordinate::formatQuantity	(	String &	units,
		Coordinate::formatType	format,
		const Quantum< Double > &	worldValue,
		uInt	axis,
		Bool	isAbsolute = `True`,
		Bool	showAsAbsolute = `True`,
		Int	precision = `-1`
	)

void casa::Coordinate::fourierUnits	(	String &	nameOut,
		String &	unitOut,
		String &	unitInCanon,
		Coordinate::Type	type,
		Int	axis,
		const String &	unitIn,
		const String &	nameIn
	)		const `[protected]`

Tries to find a canonical unit for input unit (e.g.

GHz -> Hz), and tells you the output name and unit for the Fourier coordinate pairing with the canonical unit

void casa::Coordinate::fromCurrentMany	(	Matrix< Double > &	world,
		const Vector< Double > &	toCurrentFactors
	)		const `[protected]`

virtual void casa::Coordinate::getPrecision	(	Int &	precision,
		Coordinate::formatType &	format,
		Bool	showAsAbsolute,
		Int	defPrecScientific,
		Int	defPrecFixed,
		Int	defPrecTime
	)		const `[virtual]`

Provide a common interface to getting formatted representations of coordinate values.

Different derived Coordinate types are formatted in different ways. For example, an RA/DEC DirectionCoordinate uses an HMS.SS/DMS.SS representation. A Galactic Lat/Long DirectionCoordinate uses floating format in degrees. Other derived Coordinates are formatted with scientific format or floating format. The derived class format functions provide this functionality.

You may specify the format with the format argument and a value from the enum Coordinate::formatType. If you give it the value Coordinate::DEFAULT then a sensible default is used.

A mechanism for specifying the precision number of significant digits after decimal point is provided. You can specify the precision directly when calling format if it is unambiguous how the derived Coordinate is going to be formatted. For example, a LinearCoordinate is always formatted with scientific format. However, if you are using these classes polymorphically, you don't want to have to know this and some derived Coordinates may be formatted in multiple ways (such as the DirectionCoordinate examples above). Therefore, the function getPrecision enables you to set default precisions for the different styles of formatting used variously in the base and derived classes. This function chooses the precision from these default values, according to the type of derived Coordinate that your object is and what value for format that you give (refer to the derived classes for details on this).

Some derived classes will format differently depending upon whether you want to format an absolute or offset world value input via absolute (e.g. DirectionCoordinates).

The provided worldValue must be in the native units of the Coordinate. It may be an absolute (isAbsolute=True) or relative (isAbsolute=False) value. You may choose to format the world value as absolute (showAsAbsolute=True) or relative (showAsAbsolute=False). axis specifies which axis of the Coordinate this value belongs to.

units specifies the units in which the input world value will be formatted. If units is empty, the native unit for the given axis is used.

Some derived classes will format in units different from the native unit of the Coordinate. The units of the formatted number are returned in units. If the units string is provided, the unit must be consistent with the native unit of the coordinate. The input world value will be converted to this unit.

You can also use the Quantum interface. The units of the Quantum can then be anything consistent with the Coordinate.

The default implementation here is to format only with scientific or fixed formats. If precision is negative, a the default precision is used.

Reimplemented in casa::DirectionCoordinate.

virtual Vector<Double> casa::Coordinate::increment ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Matrix<Double> casa::Coordinate::linearTransform ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Coordinate* casa::Coordinate::makeFourierCoordinate	(	const Vector< Bool > &	axes,
		const Vector< Int > &	shape
	)		const `[virtual]`

Find the Coordinate for when we Fourier Transform ourselves.

This pointer must be deleted by the caller. Axes specifies which axes of the Coordinate you wish to transform. Shape specifies the shape of the image associated with all the axes of the Coordinate. Currently the output reference pixel is always shape/2.

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, and casa::LinearCoordinate.

virtual void casa::Coordinate::makePixelAbsolute ( Vector< Double > & pixel ) const [virtual]

Reimplemented in casa::CoordinateSystem, casa::TabularCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual void casa::Coordinate::makePixelAbsoluteMany ( Matrix< Double > & pixel ) const [virtual]

Reimplemented in casa::CoordinateSystem.

void casa::Coordinate::makePixelAbsRelMany	(	Matrix< Double > &	value,
		Bool	toAbs
	)		const `[private]`

Reimplemented in casa::CoordinateSystem.

virtual void casa::Coordinate::makePixelRelative ( Vector< Double > & pixel ) const [virtual]

Make absolute coordinates relative and vice-versa (with respect to the reference value).

Vectors must be length nPixelAxes() or nWorldAxes() or memory access errors will occur

Reimplemented in casa::CoordinateSystem, casa::TabularCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual void casa::Coordinate::makePixelRelativeMany ( Matrix< Double > & pixel ) const [virtual]

Batch up a lot of absolute/relative transformations.

Parameters as above for toWorldMany and toPixelMany

Reimplemented in casa::CoordinateSystem.

virtual void casa::Coordinate::makeWorldAbsolute ( Vector< Double > & world ) const [virtual]

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual void casa::Coordinate::makeWorldAbsoluteMany ( Matrix< Double > & world ) const [virtual]

Reimplemented in casa::CoordinateSystem.

virtual void casa::Coordinate::makeWorldAbsoluteRef	(	Vector< Double > &	world,
		const Vector< Double > &	refVal
	)		const `[virtual]`

Make absolute coordinates relative and vice versa with respect to the given reference value.

Add the other functions in this grouping as needed. Vectors must be length nPixelAxes() or nWorldAxes() or memory access errors will occur

Reimplemented in casa::CoordinateSystem, and casa::DirectionCoordinate.

void casa::Coordinate::makeWorldAbsRelMany	(	Matrix< Double > &	value,
		Bool	toAbs
	)		const `[private]`

Reimplemented in casa::CoordinateSystem.

virtual void casa::Coordinate::makeWorldRelative ( Vector< Double > & world ) const [virtual]

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual void casa::Coordinate::makeWorldRelativeMany ( Matrix< Double > & world ) const [virtual]

Reimplemented in casa::CoordinateSystem.

virtual Bool casa::Coordinate::near	(	const Coordinate &	other,
		Double	tol = `1.0e-6`
	)		const `[pure virtual]`

Comparison to fractional tolerance (for floating point values).

Don't compare on specified axes in Coordinate. If the comparison returns False, errorMessage() contains a message.

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, casa::LinearCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::near	(	const Coordinate &	other,
		const Vector< Int > &	excludeAxes,
		Double	tol = `1.0e-6`
	)		const `[pure virtual]`

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, casa::LinearCoordinate, and casa::QualityCoordinate.

virtual uInt casa::Coordinate::nPixelAxes ( ) const [pure virtual]

How many world/pixel axes are there in this Coordinate? While the number of world and pixel axes will generally be the same, it is not a requirement.

For example, in CoordinateSystem you could remove a pixel axis and leave the corresponding world axis. Also, if we ever implement a "SlicedCoordinate" class then there would be more world than pixel coordinates (the pixel coordinate would be a pixel number along the slice, whereas the world axes would continue to be RA/DEC).

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual uInt casa::Coordinate::nWorldAxes ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

Coordinate& casa::Coordinate::operator= ( const Coordinate & other ) [protected]

Assignment (copy semantics)

void casa::Coordinate::pcToXform	(	Matrix< Double > &	xForm,
		const wcsprm &	wcs
	)		const `[protected]`

Interconvert between wcs PC cards and Matrix xForm format.

virtual Vector<Double> casa::Coordinate::referencePixel ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Vector<Double> casa::Coordinate::referenceValue ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Coordinate* casa::Coordinate::rotate ( const Quantum< Double > & angle ) const [virtual]

return the result of rotating the coordinate clockwise through the specified angle.

Rotation occurs about the reference pixel. Coordinate must have exactly two pixel axes. The return type is the same as the input type. It is the caller's responsibility to delete the returned pointer when done with it to prevent a memory leak. This method ultimately just changes the input coordinate's linear transform matrix.

virtual Bool casa::Coordinate::save	(	RecordInterface &	container,
		const String &	fieldName
	)		const `[pure virtual]`

Used for persistence.

Derived classes will have similar static restore methods. It will typically only return False if fieldName has already been defined.

Implemented in casa::CoordinateSystem, casa::SpectralCoordinate, casa::DirectionCoordinate, casa::TabularCoordinate, casa::StokesCoordinate, casa::LinearCoordinate, and casa::QualityCoordinate.

void casa::Coordinate::set_error ( const String & errorMsg ) const [protected]

Set error message.

void casa::Coordinate::set_wcs ( wcsprm & wcs ) [protected]

Call wcsset on the wcs structure.

virtual void casa::Coordinate::setDefaultWorldMixRanges ( ) [virtual]

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setIncrement ( const Vector< Double > & inc ) [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setLinearTransform ( const Matrix< Double > & xform ) [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setReferencePixel ( const Vector< Double > & refPix ) [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setReferenceValue ( const Vector< Double > & refval ) [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setWorldAxisNames ( const Vector< String > & names ) [pure virtual]

Set the requested attribute.

Note that these just change the internal values, they do not cause any recomputation.

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setWorldAxisUnits ( const Vector< String > & units ) [pure virtual]

Change the units.

Adjust the increment and reference value by the ratio of the old and new units. This implies that the units must be known Unit strings, and that they must be compatible, e.g. they can't change from time to length.

A default implementation is available which does everything except set the units vector, which must be done in the derived class.

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::setWorldMixRanges ( const IPosition & shape ) [virtual]

Set the world min and max ranges, for use in function toMix, for a lattice of the given shape for this coordinate.

The default implementation here sets the range for pixels dangling 25% off the image. Returns False if fails with a reason in errorMessage(). setDefaultWorldMixRanges sets the range for each axis to +/-1e99 The ranges remain zero length vectors until you explicitly initialize them.

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual String casa::Coordinate::showType ( ) const [pure virtual]

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

void casa::Coordinate::toCurrentMany	(	Matrix< Double > &	world,
		const Vector< Double > &	toCurrentFactors
	)		const `[protected]`

Functions for handling conversion between the current units and the wcs units.

These are called explicitly by the appropriate derived class. convertFrom

virtual Bool casa::Coordinate::toMix	(	Vector< Double > &	worldOut,
		Vector< Double > &	pixelOut,
		const Vector< Double > &	worldIn,
		const Vector< Double > &	pixelIn,
		const Vector< Bool > &	worldAxes,
		const Vector< Bool > &	pixelAxes,
		const Vector< Double > &	worldMin,
		const Vector< Double > &	worldMax
	)		const `[virtual]`

Mixed absolute pixel/world coordinate conversion.

worldIn and worldAxes are vectors of length nWorldAxes. pixelIn and pixelAxes are of length nPixelAxes. worldAxes(i) = True specifies you have given a world value in worldIn(i) to convert to pixel. pixelAxes(i)=True specifies you have given a pixel value in pixelIn(i) to convert to world. You cannot specify the same axis via worldAxes and pixelAxes. Values in pixelIn are converted to world and put into worldOut in the appropriate world axis location. Values in worldIn are copied to worldOut. Values in worldIn are converted to pixel and put into pixelOut in the appropriate pixel axis location. Values in pixelIn are copied to pixelOut. worldMin and worldMax specify the range of the world coordinate (in the world axis units of that world axis in the CoordinateSystem) being solved for in a mixed calculation for each world axis. They are only actually needed for DirectionCoordinates and for all other Coordinates the relevant elements can be undefined. If you don't know, use -180 to 180 degrees for longitude, and -90 to 90 for latitude. Removed axes are handled (for example, a removed pixel axis with remaining corresponding world axis will correctly be converted to world using the replacement value). Returns True if the conversion succeeds, otherwise it returns False and errorMessage() contains an error message. The output vectors are resized.

Reimplemented in casa::CoordinateSystem, and casa::DirectionCoordinate.

virtual Bool casa::Coordinate::toPixel	(	Vector< Double > &	pixel,
		const Vector< Double > &	world
	)		const `[pure virtual]`

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::toPixelMany	(	Matrix< Double > &	pixel,
		const Matrix< Double > &	world,
		Vector< Bool > &	failures
	)		const `[virtual]`

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, and casa::TabularCoordinate.

Bool casa::Coordinate::toPixelManyWCS	(	Matrix< Double > &	pixel,
		const Matrix< Double > &	world,
		Vector< Bool > &	failures,
		wcsprm &	wcs
	)		const `[protected]`

Bool casa::Coordinate::toPixelWCS	(	Vector< Double > &	pixel,
		const Vector< Double > &	world,
		wcsprm &	wcs
	)		const `[protected]`

virtual Bool casa::Coordinate::toWorld	(	Vector< Double > &	world,
		const Vector< Double > &	pixel
	)		const `[pure virtual]`

Convert an absolute pixel position to an absolute world position or vice versa.

Returns True if the conversion succeeds, otherwise it returns False and method errorMessage contains an error message. The input vector must be of length nPixelAxes or nWorldAxes. The output vector is resized appropriately.

Implemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, casa::TabularCoordinate, casa::LinearCoordinate, casa::StokesCoordinate, and casa::QualityCoordinate.

virtual Bool casa::Coordinate::toWorldMany	(	Matrix< Double > &	world,
		const Matrix< Double > &	pixel,
		Vector< Bool > &	failures
	)		const `[virtual]`

Batch up a lot of transformations.

The first (most rapidly varying) axis of the matrices contain the coordinates. Returns False if any conversion failed and errorMessage() will hold a message. The failures array (True for fail, False for success) is the length of the number of conversions and holds an error status for each conversion. The default implementation is provided that works with the "single" version of toWorld and toPixel, but for maximum efficiency these should be overridden.

Reimplemented in casa::CoordinateSystem, casa::DirectionCoordinate, casa::SpectralCoordinate, and casa::TabularCoordinate.

Bool casa::Coordinate::toWorldManyWCS	(	Matrix< Double > &	world,
		const Matrix< Double > &	pixel,
		Vector< Bool > &	failures,
		wcsprm &	wcs
	)		const `[protected]`