Bridging class to allow C++ expressions involving lattices. More...

#include <LatticeExprNode.h>

Public Member Functions
	LatticeExprNode ()

	LatticeExprNode (Int64 constant)
	Unary constant expression constructors.
	LatticeExprNode (Int constant)
	LatticeExprNode (uInt constant)
	LatticeExprNode (Long constant)
	LatticeExprNode (Float constant)
	LatticeExprNode (Double constant)
	LatticeExprNode (const Complex &constant)
	LatticeExprNode (const DComplex &constant)
	LatticeExprNode (Bool constant)
	LatticeExprNode (const IPosition &)
	Constructor from an IPosition (containing indices or axes).
	LatticeExprNode (const Lattice< Float > &lattice)
	Lattice expression (gets Lattice pixels) constructors.
	LatticeExprNode (const Lattice< Double > &lattice)
	LatticeExprNode (const Lattice< Complex > &lattice)
	LatticeExprNode (const Lattice< DComplex > &lattice)
	LatticeExprNode (const Lattice< Bool > &lattice)
	LatticeExprNode (const MaskedLattice< Float > &lattice)
	LatticeExprNode (const MaskedLattice< Double > &lattice)
	LatticeExprNode (const MaskedLattice< Complex > &lattice)
	LatticeExprNode (const MaskedLattice< DComplex > &lattice)
	LatticeExprNode (const MaskedLattice< Bool > &lattice)
	LatticeExprNode (const LCRegion &region)
	Create a lattice expression from a region.
	LatticeExprNode (const Slicer &slicer)
	LatticeExprNode (const LattRegionHolder &region)
LatticeExprNode	operator[] (const LatticeExprNode &cond) const
	Masking operator using a condition.
	LatticeExprNode (const LatticeExprNode &other)
	Copy constructor (reference semantics)
virtual	~LatticeExprNode ()
	Destructor, does nothing.
LatticeExprNode &	operator= (const LatticeExprNode &other)
	Assignment (reference semantics)
const IPosition &	getIPosition () const
	Get the IPosition.
CountedPtr< LELInterface< Float > >	makeFloat () const
	Convert the expression to another data type.
CountedPtr< LELInterface < Double > >	makeDouble () const
CountedPtr< LELInterface < Complex > >	makeComplex () const
CountedPtr< LELInterface < DComplex > >	makeDComplex () const
CountedPtr< LELInterface< Bool > >	makeBool () const
void	eval (LELArray< Float > &result, const Slicer &section) const
	Evaluate the expression.
void	eval (LELArray< Double > &result, const Slicer &section) const
void	eval (LELArray< Complex > &result, const Slicer &section) const
void	eval (LELArray< DComplex > &result, const Slicer &section) const
void	eval (LELArray< Bool > &result, const Slicer &section) const
void	evalRef (LELArrayRef< Float > &result, const Slicer &section) const
	Evaluate the expression.
void	evalRef (LELArrayRef< Double > &result, const Slicer &section) const
void	evalRef (LELArrayRef< Complex > &result, const Slicer &section) const
void	evalRef (LELArrayRef< DComplex > &result, const Slicer &section) const
void	evalRef (LELArrayRef< Bool > &result, const Slicer &section) const
void	eval (Float &result) const
	Evaluate the expression (in case it is a scalar).
void	eval (Double &result) const
void	eval (Complex &result) const
void	eval (DComplex &result) const
void	eval (Bool &result) const
Float	getFloat () const
Double	getDouble () const
Complex	getComplex () const
DComplex	getDComplex () const
Bool	getBool () const
Array< Float >	getArrayFloat () const
	Evaluate the expression (in case it is a constant array).
Array< Double >	getArrayDouble () const
Array< Complex >	getArrayComplex () const
Array< DComplex >	getArrayDComplex () const
Array< Bool >	getArrayBool () const
DataType	dataType () const
	Get the data type of the expression.
Bool	isRegion () const
	Is the expression node a region?
Bool	isScalar () const
	Is the result of "eval" a scalar?
Bool	isMasked () const
	Is the result of "eval" masked?
Bool	isInvalidScalar () const
	Holds the node an invalid scalar?
const IPosition &	shape () const
	Return the shape of the Lattice including all degenerate axes (ie.
const LELAttribute &	getAttribute () const
	Get the attribute object of the expression.
Bool	replaceScalarExpr ()
	Replace a scalar subexpression by its result.
	LatticeExprNode (const CountedPtr< LELInterface< Float > > &expr)
	Make the object from a Counted<LELInterface> pointer.
	LatticeExprNode (const CountedPtr< LELInterface< Double > > &expr)
	LatticeExprNode (const CountedPtr< LELInterface< Complex > > &expr)
	LatticeExprNode (const CountedPtr< LELInterface< DComplex > > &expr)
	LatticeExprNode (const CountedPtr< LELInterface< Bool > > &expr)
Bool	lock (FileLocker::LockType, uInt nattempts)
	Handle locking of the LatticeExpr which is delegated to all of its parts.
void	unlock ()
Bool	hasLock (FileLocker::LockType) const
void	resync ()
Static Public Member Functions
static DataType	resultDataType (DataType left, DataType right)
	Determine the resulting data type from the given data types.
static LELAttribute	checkArg (const Block< LatticeExprNode > &arg, const Block< Int > &argType, Bool expectArray, Bool matchAxes=True)
	Check the arguments of a function and return the resulting attribute object.
Private Member Functions
	LatticeExprNode (LELInterface< Float > *expr)

	LatticeExprNode (LELInterface< Double > *expr)
	LatticeExprNode (LELInterface< Complex > *expr)
	LatticeExprNode (LELInterface< DComplex > *expr)
	LatticeExprNode (LELInterface< Bool > *expr)
void	doPrepare () const
	Do the preparation for the evaluation.
Static Private Member Functions
static Bool	areRegions (const LatticeExprNode &left, const LatticeExprNode &right)
	Test if both operands represent a region.
static LatticeExprNode	newNumUnary (LELUnaryEnums::Operation oper, const LatticeExprNode &expr)
	Create a new node for a numerical unary operation.
static LatticeExprNode	newNumFunc1D (LELFunctionEnums::Function func, const LatticeExprNode &expr)
	Create a new node for a numerical function with 1 argument.
static LatticeExprNode	newRealFunc1D (LELFunctionEnums::Function func, const LatticeExprNode &expr)
	Create a new node for a real numerical function with 1 argument.
static LatticeExprNode	newComplexFunc1D (LELFunctionEnums::Function func, const LatticeExprNode &expr)
	Create a new node for a complex numerical function with 1 argument.
static LatticeExprNode	newNumReal1D (LELFunctionEnums::Function func, const LatticeExprNode &expr)
	Create a new node for a numerical function with 1 argument that returns a real number.
static LatticeExprNode	newNumFunc2D (LELFunctionEnums::Function func, const LatticeExprNode &left, const LatticeExprNode &right)
	Create a new node for a numerical function with 2 arguments.
static LatticeExprNode	newNumBinary (LELBinaryEnums::Operation oper, const LatticeExprNode &left, const LatticeExprNode &right)
	Create a new node for a numerical binary operator.
static LatticeExprNode	newBinaryCmp (LELBinaryEnums::Operation oper, const LatticeExprNode &left, const LatticeExprNode &right)
	Create a new node for a comparison binary operator.
static Int	makeEqualDim (LatticeExprNode &expr0, LatticeExprNode &expr1)
	Make (if needed and if possible) the expression nodes such that the dimensionalities are equal.
Private Attributes
Bool	donePrepare_p
	Member variables.
DataType	dtype_p
Bool	isInvalid_p
IPosition	iposition_p
const LELAttribute *	pAttr_p
CountedPtr< LELInterface< Float > >	pExprFloat_p
CountedPtr< LELInterface < Double > >	pExprDouble_p
CountedPtr< LELInterface < Complex > >	pExprComplex_p
CountedPtr< LELInterface < DComplex > >	pExprDComplex_p
CountedPtr< LELInterface< Bool > >	pExprBool_p
Friends
LatticeExprNode	operator+ (const LatticeExprNode &expr)
	All global functions need to be declared as friends.
LatticeExprNode	operator- (const LatticeExprNode &expr)
LatticeExprNode	operator! (const LatticeExprNode &expr)
LatticeExprNode	operator+ (const LatticeExprNode &left, const LatticeExprNode &right)
	Numerical binary operators.
LatticeExprNode	operator- (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator* (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator/ (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator% (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator^ (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator== (const LatticeExprNode &left, const LatticeExprNode &right)
	Relational binary operators.
LatticeExprNode	operator> (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator>= (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator< (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator<= (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator!= (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	operator&& (const LatticeExprNode &left, const LatticeExprNode &right)
	Logical binary operators.
LatticeExprNode	operator\|\| (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	sin (const LatticeExprNode &expr)
	Numerical 1-argument functions.
LatticeExprNode	sinh (const LatticeExprNode &expr)
LatticeExprNode	asin (const LatticeExprNode &expr)
LatticeExprNode	cos (const LatticeExprNode &expr)
LatticeExprNode	cosh (const LatticeExprNode &expr)
LatticeExprNode	acos (const LatticeExprNode &expr)
LatticeExprNode	tan (const LatticeExprNode &expr)
LatticeExprNode	tanh (const LatticeExprNode &expr)
LatticeExprNode	atan (const LatticeExprNode &expr)
LatticeExprNode	exp (const LatticeExprNode &expr)
LatticeExprNode	log (const LatticeExprNode &expr)
LatticeExprNode	log10 (const LatticeExprNode &expr)
LatticeExprNode	sqrt (const LatticeExprNode &expr)
LatticeExprNode	sign (const LatticeExprNode &expr)
LatticeExprNode	round (const LatticeExprNode &expr)
LatticeExprNode	ceil (const LatticeExprNode &expr)
LatticeExprNode	floor (const LatticeExprNode &expr)
LatticeExprNode	conj (const LatticeExprNode &expr)
LatticeExprNode	atan2 (const LatticeExprNode &left, const LatticeExprNode &right)
	Numerical 2-argument functions.
LatticeExprNode	pow (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	fmod (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	min (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	max (const LatticeExprNode &left, const LatticeExprNode &right)
LatticeExprNode	formComplex (const LatticeExprNode &left, const LatticeExprNode &right)
	Form a complex number from two real numbers.
LatticeExprNode	abs (const LatticeExprNode &expr)
	Numerical 1-argument functions which result in a real number regardless of input expression type.
LatticeExprNode	arg (const LatticeExprNode &expr)
LatticeExprNode	real (const LatticeExprNode &expr)
LatticeExprNode	imag (const LatticeExprNode &expr)
LatticeExprNode	min (const LatticeExprNode &expr)
	1-argument functions operating on a numeric expression resulting in a scalar
LatticeExprNode	max (const LatticeExprNode &expr)
LatticeExprNode	sum (const LatticeExprNode &expr)
LatticeExprNode	median (const LatticeExprNode &expr)
LatticeExprNode	mean (const LatticeExprNode &expr)
LatticeExprNode	variance (const LatticeExprNode &expr)
LatticeExprNode	stddev (const LatticeExprNode &expr)
LatticeExprNode	avdev (const LatticeExprNode &expr)
LatticeExprNode	fractile (const LatticeExprNode &expr, const LatticeExprNode &fraction)
	Determine the value of the element at the part `fraction` from the beginning of the given lattice.
LatticeExprNode	fractileRange (const LatticeExprNode &expr, const LatticeExprNode &fraction1, const LatticeExprNode &fraction2)
	Determine the value range of the elements at the part `fraction1` and fraction2 from the beginning of the given lattice.
LatticeExprNode	fractileRange (const LatticeExprNode &expr, const LatticeExprNode &fraction)
LatticeExprNode	nelements (const LatticeExprNode &expr)
	1-argument function to get the number of elements in a lattice.
LatticeExprNode	ndim (const LatticeExprNode &expr)
	1-argument function to get the dimensionality of a lattice.
LatticeExprNode	length (const LatticeExprNode &expr, const LatticeExprNode &axis)
	2-argument function to get the length of an axis.
LatticeExprNode	indexin (const LatticeExprNode &axis, const LatticeExprNode &indexFlags)
	2-argument function telling per pixel if its index on the given axis is contained in the 2nd argument.
LatticeExprNode	rebin (const LatticeExprNode &expr, const LatticeExprNode &bin)
	2-argument function rebinning Lattice by given factors.
LatticeExprNode	isNaN (const LatticeExprNode &expr)
	Test if a value is a NaN.
LatticeExprNode	any (const LatticeExprNode &expr)
	Functions operating on a logical expression resulting in a scalar; Functions "any" (are any pixels "True") and "all" (are all pixels "True") result in a Bool; functions "ntrue" and "nfalse" result in a Double.
LatticeExprNode	all (const LatticeExprNode &expr)
LatticeExprNode	ntrue (const LatticeExprNode &expr)
LatticeExprNode	nfalse (const LatticeExprNode &expr)
LatticeExprNode	mask (const LatticeExprNode &expr)
	This function returns the mask of the given expression.
LatticeExprNode	value (const LatticeExprNode &expr)
	This function returns the value of the expression without a mask.
LatticeExprNode	amp (const LatticeExprNode &left, const LatticeExprNode &right)
	This function finds `sqrt(left^2+right^2)`.
LatticeExprNode	pa (const LatticeExprNode &left, const LatticeExprNode &right)
	This function finds `180/pi*atan2(left,right)/2`.
LatticeExprNode	spectralindex (const LatticeExprNode &left, const LatticeExprNode &right)
	This function finds the spectral index `alpha = log(s1/s2) / log(f1/f2)`.
LatticeExprNode	iif (const LatticeExprNode &condition, const LatticeExprNode &arg1, const LatticeExprNode &arg2)
	Function resembling the ternary `?:` construct in C++.
LatticeExprNode	replace (const LatticeExprNode &arg1, const LatticeExprNode &arg2)
	This function replaces every masked-off element in the first argument with the corresponding element from the second argument.
LatticeExprNode	toFloat (const LatticeExprNode &expr)
	Functions to convert to the given data type.
LatticeExprNode	toDouble (const LatticeExprNode &expr)
LatticeExprNode	toComplex (const LatticeExprNode &expr)
LatticeExprNode	toDComplex (const LatticeExprNode &expr)
LatticeExprNode	toBool (const LatticeExprNode &expr)

Detailed Description

Bridging class to allow C++ expressions involving lattices.

Intended use:

Public interface

Review Status

Date Reviewed:: yyyy/mm/dd

Prerequisite

Etymology

The name is derived from the fact that this class provides an expression interface to the user which s/he may use to write C++ expressions involving Lattices. This class actually constructs the nodes of the expression tree, hence its name. It is used by the envelope class LatticeExpr and provides a bridge to the letter classes derived from LELInterface.

Synopsis

This class is part of the interface which allows the C++ programmer to enter mathematical expressions involving Lattices. It is is part of a Letter/envelope scheme. It's actually a bridge between the envelope class (LatticeExpr) and the letter classes (derived from LELInterface) and it exists largely to handle type conversions. In a single type environment, the envelope class could have directly called the letter classes.

The envelope and bridge provide the interface which the programmer sees. The letter classes do the real work and are hidden from the programmer.

All the expression manipulation functionality that the user has access to is viewable in this class; it is here that the operators, functions and constructors are defined. These allow the programmer to write mathematical expressions which involve Lattices. The letter classes take care of the optimal traversal of the Lattice and the memory mangement thereof. Thus the Lattices are iterated through and the expressions evaluated for each chunk (usually a tile shape) of the iteration.

A description of the implementation details of these classes can be found in Note 216

The available functionality is defined by the global friend functions and operators, plus the public constructors. The other public members functions are generally not of interest to the user of this class.

Generally, if one writes an expression such as a.copyData(sin(b)), the expression is automatically converted first to a LatticeExprNode and then to a LatticeExpr (which is a Lattice) before evaluation occurs. However, it may occur that you wish to build an expression from subexpressions. To do this, you must explcitly create objects of class LatticeExprNode. You cannot manipulate subexpressions of type LatticeExpr<T>. See below for an example.

Example

     ArrayLattice<Float>   f1(IPosition (2,nx,ny));
     ArrayLattice<Float>   f2(IPosition (2,nx,ny));
     f2.set(2.0);
     f1.copyData(2*f2+f2);

In this example, the values of the pixels in Lattice f1 are set to the values resulting from the expression "2*f2 + f2" I.e. the expression is evaluated for each pixel in the Lattices

Note that :

1) the Lattice::copyData function is expecting a Lattice argument. 2) LatticeExpr inherits from Lattice and therefore a LatticeExpr object is a valid argument object type 3) The expression in the copyData call is automatically converted to a LatticeExprNode by the constructors and operators in LatticeExprNode 4) The LatticeExprNode object so created is automatically converted to a LatticeExpr by casting functions in LatticeExprNode.

Example

     ArrayLattice<Float>   f1(IPosition (2,nx,ny));
     ArrayLattice<Float>   f2(IPosition (2,nx,ny));
     ArrayLattice<Double>  d(IPosition (2,nx,ny));
     ArrayLattice<Complex> c(IPosition (2,nx,ny));
     ArrayLattice<Bool>    b(IPosition (2,nx,ny));
   
     f2.set(1.0); d.set(2.0); c.set(Complex(2.0,3.0)); b.set(True);
     f1.copyData( (3.5*f2) + (cos(d)) - (10/min(d,f2)*(-abs(c))*ntrue(b)) - (C::pi) );

In this rather silly example, we fill Lattice "f1" with the result of the expression. The expression shows the use of constants, unary operations, binary operations, 1D and 2D functions. It also shows how mixed types can be handled. The output Lattice is a Float, whereas mixed into the expression are subexpressions involving Float, Double, Complex and Bool Lattices.

Example

     ArrayLattice<Float>   f1(IPosition (2,nx,ny));
     ArrayLattice<Float>   f2(IPosition (2,nx,ny));
     f2.set(2.0);
     LatticeExprNode exp1(sin(f2));
     LatticeExprNode exp2(pow(f2,2.0));
     f1.copyData(exp1+exp2);

In this example, the expression is "sin(f2) + pow(f2,2.0)", but we have put it together from two subexpressions contained in LatticeExprNode objects exp1 and exp2. Again the LatticeExprNode object formed from summing exp1 and exp2 is automatically converted to a LatticeExpr for consumption by copyData

Motivation

The Lattice expression classes enable the C++ programmer much simpler handling of mathematical expressions involving lattices. In addition, these classes provide the infrastructure on top of which we can build an image calculator for Glish users

To Do

masks
regions

Definition at line 439 of file LatticeExprNode.h.

Constructor & Destructor Documentation

casa::LatticeExprNode::LatticeExprNode ( )

Default constructor

casa::LatticeExprNode::LatticeExprNode ( Int64 constant )

Unary constant expression constructors.

casa::LatticeExprNode::LatticeExprNode ( Int constant )

casa::LatticeExprNode::LatticeExprNode ( uInt constant )

casa::LatticeExprNode::LatticeExprNode ( Long constant )

casa::LatticeExprNode::LatticeExprNode ( Float constant )

casa::LatticeExprNode::LatticeExprNode ( Double constant )

casa::LatticeExprNode::LatticeExprNode ( const Complex & constant )

casa::LatticeExprNode::LatticeExprNode ( const DComplex & constant )

casa::LatticeExprNode::LatticeExprNode ( Bool constant )

casa::LatticeExprNode::LatticeExprNode ( const IPosition & )

Constructor from an IPosition (containing indices or axes).

casa::LatticeExprNode::LatticeExprNode ( const Lattice< Float > & lattice )

Lattice expression (gets Lattice pixels) constructors.

casa::LatticeExprNode::LatticeExprNode ( const Lattice< Double > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const Lattice< Complex > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const Lattice< DComplex > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const Lattice< Bool > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const MaskedLattice< Float > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const MaskedLattice< Double > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const MaskedLattice< Complex > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const MaskedLattice< DComplex > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const MaskedLattice< Bool > & lattice )

casa::LatticeExprNode::LatticeExprNode ( const LCRegion & region )

Create a lattice expression from a region.

It results in a boolean expression node.

casa::LatticeExprNode::LatticeExprNode ( const Slicer & slicer )

casa::LatticeExprNode::LatticeExprNode ( const LattRegionHolder & region )

casa::LatticeExprNode::LatticeExprNode ( const LatticeExprNode & other )

Copy constructor (reference semantics)

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

Destructor, does nothing.

casa::LatticeExprNode::LatticeExprNode ( const CountedPtr< LELInterface< Float > > & expr )

Make the object from a Counted<LELInterface> pointer.

Ideally this function is private, but alas it is needed in LELFunction1D, operator==, and more (too many to make them friend).

casa::LatticeExprNode::LatticeExprNode ( const CountedPtr< LELInterface< Double > > & expr )

casa::LatticeExprNode::LatticeExprNode ( const CountedPtr< LELInterface< Complex > > & expr )

casa::LatticeExprNode::LatticeExprNode ( const CountedPtr< LELInterface< DComplex > > & expr )

casa::LatticeExprNode::LatticeExprNode ( const CountedPtr< LELInterface< Bool > > & expr )

casa::LatticeExprNode::LatticeExprNode ( LELInterface< Float > * expr ) [private]

Make the object from a LELInterface* pointer.

casa::LatticeExprNode::LatticeExprNode ( LELInterface< Double > * expr ) [private]

casa::LatticeExprNode::LatticeExprNode ( LELInterface< Complex > * expr ) [private]

casa::LatticeExprNode::LatticeExprNode ( LELInterface< DComplex > * expr ) [private]

casa::LatticeExprNode::LatticeExprNode ( LELInterface< Bool > * expr ) [private]

Member Function Documentation

static Bool casa::LatticeExprNode::areRegions	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[static, private]`

Test if both operands represent a region.

An exception is thrown if only one of them is a region.

static LELAttribute casa::LatticeExprNode::checkArg	(	const Block< LatticeExprNode > &	arg,
		const Block< Int > &	argType,
		Bool	expectArray,
		Bool	matchAxes = `True`
	)		`[static]`

Check the arguments of a function and return the resulting attribute object.

The matchAxes argument tells if the axes have to match exactly or whether it is possible that one expression is a subset of another (i.e. that axes may be missing).
The expectArray argument tells if the result should be an array which is the case if one of the arguments is an array.

DataType casa::LatticeExprNode::dataType ( ) const [inline]

Get the data type of the expression.

Definition at line 680 of file LatticeExprNode.h.

References dtype_p.

void casa::LatticeExprNode::doPrepare ( ) const [private]

Do the preparation for the evaluation.

Referenced by isInvalidScalar().

void casa::LatticeExprNode::eval	(	LELArray< Float > &	result,
		const Slicer &	section
	)		const

Evaluate the expression.

One can be sure that the result is not a reference to another array. This function should be used by LatticeExpr and other users.

void casa::LatticeExprNode::eval	(	LELArray< Double > &	result,
		const Slicer &	section
	)		const

void casa::LatticeExprNode::eval	(	LELArray< Complex > &	result,
		const Slicer &	section
	)		const

void casa::LatticeExprNode::eval	(	LELArray< DComplex > &	result,
		const Slicer &	section
	)		const

void casa::LatticeExprNode::eval	(	LELArray< Bool > &	result,
		const Slicer &	section
	)		const

void casa::LatticeExprNode::eval ( Float & result ) const

Evaluate the expression (in case it is a scalar).

The "eval" and "get*" functions do the same thing, they just have a slightly different interface.

void casa::LatticeExprNode::eval ( Double & result ) const

void casa::LatticeExprNode::eval ( Complex & result ) const

void casa::LatticeExprNode::eval ( DComplex & result ) const

void casa::LatticeExprNode::eval ( Bool & result ) const

void casa::LatticeExprNode::evalRef	(	LELArrayRef< Float > &	result,
		const Slicer &	section
	)		const `[inline]`

Evaluate the expression.

The result can be a reference to some internal array (in particular to an array in an ArrayLattice object used as a lattice). This function is meant for internal use by the LEL classes and should not be used externally.

Definition at line 642 of file LatticeExprNode.h.

References casa::LELInterface< T >::evalRef(), and pExprFloat_p.

void casa::LatticeExprNode::evalRef	(	LELArrayRef< Double > &	result,
		const Slicer &	section
	)		const `[inline]`

Definition at line 644 of file LatticeExprNode.h.

References casa::LELInterface< T >::evalRef(), and pExprDouble_p.

void casa::LatticeExprNode::evalRef	(	LELArrayRef< Complex > &	result,
		const Slicer &	section
	)		const `[inline]`

Definition at line 646 of file LatticeExprNode.h.

References casa::LELInterface< T >::evalRef(), and pExprComplex_p.

void casa::LatticeExprNode::evalRef	(	LELArrayRef< DComplex > &	result,
		const Slicer &	section
	)		const `[inline]`

Definition at line 648 of file LatticeExprNode.h.

References casa::LELInterface< T >::evalRef(), and pExprDComplex_p.

void casa::LatticeExprNode::evalRef	(	LELArrayRef< Bool > &	result,
		const Slicer &	section
	)		const `[inline]`

Definition at line 650 of file LatticeExprNode.h.

References casa::LELInterface< T >::evalRef(), and pExprBool_p.

Array<Bool> casa::LatticeExprNode::getArrayBool ( ) const

Array<Complex> casa::LatticeExprNode::getArrayComplex ( ) const

Array<DComplex> casa::LatticeExprNode::getArrayDComplex ( ) const

Array<Double> casa::LatticeExprNode::getArrayDouble ( ) const

Array<Float> casa::LatticeExprNode::getArrayFloat ( ) const

Evaluate the expression (in case it is a constant array).

const LELAttribute& casa::LatticeExprNode::getAttribute ( ) const [inline]

Get the attribute object of the expression.

Definition at line 708 of file LatticeExprNode.h.

References pAttr_p.

Bool casa::LatticeExprNode::getBool ( ) const

Complex casa::LatticeExprNode::getComplex ( ) const

DComplex casa::LatticeExprNode::getDComplex ( ) const

Double casa::LatticeExprNode::getDouble ( ) const

Float casa::LatticeExprNode::getFloat ( ) const

const IPosition& casa::LatticeExprNode::getIPosition ( ) const

Get the IPosition.

It throws an exception if the node does not contain an IPosition.

Bool casa::LatticeExprNode::hasLock ( FileLocker::LockType ) const

Bool casa::LatticeExprNode::isInvalidScalar ( ) const [inline]

Holds the node an invalid scalar?

Definition at line 696 of file LatticeExprNode.h.

References donePrepare_p, doPrepare(), and isInvalid_p.

Bool casa::LatticeExprNode::isMasked ( ) const [inline]

Is the result of "eval" masked?

Definition at line 692 of file LatticeExprNode.h.

References casa::LELAttribute::isMasked(), and pAttr_p.

Bool casa::LatticeExprNode::isRegion ( ) const [inline]

Is the expression node a region?

Definition at line 684 of file LatticeExprNode.h.

References casa::LELAttribute::isRegion(), and pAttr_p.

Bool casa::LatticeExprNode::isScalar ( ) const [inline]

Is the result of "eval" a scalar?

Definition at line 688 of file LatticeExprNode.h.

References casa::LELAttribute::isScalar(), and pAttr_p.

Bool casa::LatticeExprNode::lock	(	FileLocker::LockType	,
		uInt	nattempts
	)

Handle locking of the LatticeExpr which is delegated to all of its parts.

CountedPtr<LELInterface<Bool> > casa::LatticeExprNode::makeBool ( ) const

CountedPtr<LELInterface<Complex> > casa::LatticeExprNode::makeComplex ( ) const

CountedPtr<LELInterface<DComplex> > casa::LatticeExprNode::makeDComplex ( ) const

CountedPtr<LELInterface<Double> > casa::LatticeExprNode::makeDouble ( ) const

static Int casa::LatticeExprNode::makeEqualDim	(	LatticeExprNode &	expr0,
		LatticeExprNode &	expr1
	)		`[static, private]`

Make (if needed and if possible) the expression nodes such that the dimensionalities are equal.

This is only possible if both nodes have a coordinate system. It is done by creating an ExtendLattice object for the node with the lower dimensionality.

CountedPtr<LELInterface<Float> > casa::LatticeExprNode::makeFloat ( ) const

Convert the expression to another data type.

static LatticeExprNode casa::LatticeExprNode::newBinaryCmp	(	LELBinaryEnums::Operation	oper,
		const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[static, private]`

Create a new node for a comparison binary operator.

The result has the same data type as the combined input type.

static LatticeExprNode casa::LatticeExprNode::newComplexFunc1D	(	LELFunctionEnums::Function	func,
		const LatticeExprNode &	expr
	)		`[static, private]`

Create a new node for a complex numerical function with 1 argument.

The result has the same data type as the input.

static LatticeExprNode casa::LatticeExprNode::newNumBinary	(	LELBinaryEnums::Operation	oper,
		const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[static, private]`

Create a new node for a numerical binary operator.

The result has the same data type as the combined input type.

static LatticeExprNode casa::LatticeExprNode::newNumFunc1D	(	LELFunctionEnums::Function	func,
		const LatticeExprNode &	expr
	)		`[static, private]`

Create a new node for a numerical function with 1 argument.

The result has the same data type as the input.

static LatticeExprNode casa::LatticeExprNode::newNumFunc2D	(	LELFunctionEnums::Function	func,
		const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[static, private]`

Create a new node for a numerical function with 2 arguments.

The result has the same data type as the combined input type.

static LatticeExprNode casa::LatticeExprNode::newNumReal1D	(	LELFunctionEnums::Function	func,
		const LatticeExprNode &	expr
	)		`[static, private]`

Create a new node for a numerical function with 1 argument that returns a real number.

static LatticeExprNode casa::LatticeExprNode::newNumUnary	(	LELUnaryEnums::Operation	oper,
		const LatticeExprNode &	expr
	)		`[static, private]`

Create a new node for a numerical unary operation.

The result has the same data type as the input.

static LatticeExprNode casa::LatticeExprNode::newRealFunc1D	(	LELFunctionEnums::Function	func,
		const LatticeExprNode &	expr
	)		`[static, private]`

Create a new node for a real numerical function with 1 argument.

The result has the same data type as the input.

LatticeExprNode& casa::LatticeExprNode::operator= ( const LatticeExprNode & other )

Assignment (reference semantics)

LatticeExprNode casa::LatticeExprNode::operator[] ( const LatticeExprNode & cond ) const

Masking operator using a condition.

The given boolean expression forms a mask/region for this expression node.

Bool casa::LatticeExprNode::replaceScalarExpr ( )

Replace a scalar subexpression by its result.

static DataType casa::LatticeExprNode::resultDataType	(	DataType	left,
		DataType	right
	)		`[static]`

Determine the resulting data type from the given data types.

An exception is thrown if they are incompatible.

void casa::LatticeExprNode::resync ( )

const IPosition& casa::LatticeExprNode::shape ( ) const [inline]

Return the shape of the Lattice including all degenerate axes (ie.

axes with a length of one)

Definition at line 704 of file LatticeExprNode.h.

References pAttr_p, and casa::LELAttribute::shape().

void casa::LatticeExprNode::unlock ( )

Friends And Related Function Documentation

LatticeExprNode abs ( const LatticeExprNode & expr ) [friend]

Numerical 1-argument functions which result in a real number regardless of input expression type.

LatticeExprNode acos ( const LatticeExprNode & expr ) [friend]

LatticeExprNode all ( const LatticeExprNode & expr ) [friend]

LatticeExprNode amp	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

This function finds sqrt(left^2+right^2).

This could be used to find the (biased) polarized intensity if left and right are images of Stokes Q and U.

LatticeExprNode any ( const LatticeExprNode & expr ) [friend]

Functions operating on a logical expression resulting in a scalar; Functions "any" (are any pixels "True") and "all" (are all pixels "True") result in a Bool; functions "ntrue" and "nfalse" result in a Double.

LatticeExprNode arg ( const LatticeExprNode & expr ) [friend]

LatticeExprNode asin ( const LatticeExprNode & expr ) [friend]

LatticeExprNode atan ( const LatticeExprNode & expr ) [friend]

LatticeExprNode atan2	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

Numerical 2-argument functions.

LatticeExprNode avdev ( const LatticeExprNode & expr ) [friend]

LatticeExprNode ceil ( const LatticeExprNode & expr ) [friend]

LatticeExprNode conj ( const LatticeExprNode & expr ) [friend]

LatticeExprNode cos ( const LatticeExprNode & expr ) [friend]

LatticeExprNode cosh ( const LatticeExprNode & expr ) [friend]

LatticeExprNode exp ( const LatticeExprNode & expr ) [friend]

LatticeExprNode floor ( const LatticeExprNode & expr ) [friend]

LatticeExprNode fmod	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode formComplex	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

Form a complex number from two real numbers.

LatticeExprNode fractile	(	const LatticeExprNode &	expr,
		const LatticeExprNode &	fraction
	)		`[friend]`

Determine the value of the element at the part fraction from the beginning of the given lattice.

Thus fraction=0.5 is equal to the median.

LatticeExprNode fractileRange	(	const LatticeExprNode &	expr,
		const LatticeExprNode &	fraction1,
		const LatticeExprNode &	fraction2
	)		`[friend]`

Determine the value range of the elements at the part fraction1 and fraction2 from the beginning of the given lattice.

Both fractions must be >=0 and <=1 and fraction1 must be <= fraction2. By default fraction2 is equal to 1-fraction1. Thus fraction=0.25 gives the quartile range of the lattice.

LatticeExprNode fractileRange	(	const LatticeExprNode &	expr,
		const LatticeExprNode &	fraction
	)		`[friend]`

LatticeExprNode iif	(	const LatticeExprNode &	condition,
		const LatticeExprNode &	arg1,
		const LatticeExprNode &	arg2
	)		`[friend]`

Function resembling the ternary ?: construct in C++.

The argument "condition" has to be a Bool scalar or lattice. If an element in "condition" is True, the corresponding element from "arg1" is taken, otherwise it is taken from "arg2".

LatticeExprNode imag ( const LatticeExprNode & expr ) [friend]

LatticeExprNode indexin	(	const LatticeExprNode &	axis,
		const LatticeExprNode &	indexFlags
	)		`[friend]`

2-argument function telling per pixel if its index on the given axis is contained in the 2nd argument.

The 2nd argument should be a boolean vector where True means that the index is contained. For indices >= vector_length, the 2nd argument defaults to False. Results in a Bool array.
Caution: Axes start counting at 0; If the axis is a number < 0 or >= ndim, an exception is thrown;

LatticeExprNode isNaN ( const LatticeExprNode & expr ) [friend]

Test if a value is a NaN.

LatticeExprNode length	(	const LatticeExprNode &	expr,
		const LatticeExprNode &	axis
	)		`[friend]`

2-argument function to get the length of an axis.

Results in a scalar Float. The 2nd expression (giving the axis number) has to be a real scalar.
Caution: Axes start counting at 0; If the axis is a number < 0, an exception is thrown; If the axis is a number exceeding the dimensionality, 1 is returned;

LatticeExprNode log ( const LatticeExprNode & expr ) [friend]

LatticeExprNode log10 ( const LatticeExprNode & expr ) [friend]

LatticeExprNode mask ( const LatticeExprNode & expr ) [friend]

This function returns the mask of the given expression.

If it has no mask, the result is an array with all True values.

LatticeExprNode max	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode max ( const LatticeExprNode & expr ) [friend]

LatticeExprNode mean ( const LatticeExprNode & expr ) [friend]

LatticeExprNode median ( const LatticeExprNode & expr ) [friend]

LatticeExprNode min	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode min ( const LatticeExprNode & expr ) [friend]

1-argument functions operating on a numeric expression resulting in a scalar

LatticeExprNode ndim ( const LatticeExprNode & expr ) [friend]

1-argument function to get the dimensionality of a lattice.

0 is returned if it is a scalar. Results in a scalar Float.

LatticeExprNode nelements ( const LatticeExprNode & expr ) [friend]

1-argument function to get the number of elements in a lattice.

If the lattice is masked, only the True elements are counted. Results in a scalar Double.

LatticeExprNode nfalse ( const LatticeExprNode & expr ) [friend]

LatticeExprNode ntrue ( const LatticeExprNode & expr ) [friend]

LatticeExprNode operator! ( const LatticeExprNode & expr ) [friend]

LatticeExprNode operator!=	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator%	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator&&	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

Logical binary operators.

LatticeExprNode operator*	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator+ ( const LatticeExprNode & expr ) [friend]

All global functions need to be declared as friends.

Unary functions.

LatticeExprNode operator+	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

Numerical binary operators.

LatticeExprNode operator- ( const LatticeExprNode & expr ) [friend]

LatticeExprNode operator-	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator/	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator<	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator<=	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator==	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

Relational binary operators.

LatticeExprNode operator>	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator>=	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator^	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode operator\|\|	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode pa	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

This function finds 180/pi*atan2(left,right)/2.

This could be used to find the position of linear polarization if left and right are images of Stokes U and Q, respectively.

Referenced by casa::CFStore::set().

LatticeExprNode pow	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

LatticeExprNode real ( const LatticeExprNode & expr ) [friend]

LatticeExprNode rebin	(	const LatticeExprNode &	expr,
		const LatticeExprNode &	bin
	)		`[friend]`

2-argument function rebinning Lattice by given factors.

The 2nd argument should be a vector (preferably Float - really Int but Int not well supported in LEL yet). Results in a T array.

LatticeExprNode replace	(	const LatticeExprNode &	arg1,
		const LatticeExprNode &	arg2
	)		`[friend]`

This function replaces every masked-off element in the first argument with the corresponding element from the second argument.

The first argument has to be a lattice (expression), the second can be a scalar or lattice. The mask of the first argument is not changed. If the first argument does not have a mask, this function does nothing.

LatticeExprNode round ( const LatticeExprNode & expr ) [friend]

LatticeExprNode sign ( const LatticeExprNode & expr ) [friend]

LatticeExprNode sin ( const LatticeExprNode & expr ) [friend]

Numerical 1-argument functions.

LatticeExprNode sinh ( const LatticeExprNode & expr ) [friend]

LatticeExprNode spectralindex	(	const LatticeExprNode &	left,
		const LatticeExprNode &	right
	)		`[friend]`

This function finds the spectral index alpha = log(s1/s2) / log(f1/f2).

LatticeExprNode sqrt ( const LatticeExprNode & expr ) [friend]

LatticeExprNode stddev ( const LatticeExprNode & expr ) [friend]

LatticeExprNode sum ( const LatticeExprNode & expr ) [friend]

LatticeExprNode tan ( const LatticeExprNode & expr ) [friend]

LatticeExprNode tanh ( const LatticeExprNode & expr ) [friend]

LatticeExprNode toBool ( const LatticeExprNode & expr ) [friend]

LatticeExprNode toComplex ( const LatticeExprNode & expr ) [friend]

LatticeExprNode toDComplex ( const LatticeExprNode & expr ) [friend]

LatticeExprNode toDouble ( const LatticeExprNode & expr ) [friend]

LatticeExprNode toFloat ( const LatticeExprNode & expr ) [friend]

Functions to convert to the given data type.

These are mostly meaningful for down-conversions (e.g. double to float), since up-conversions are automatically done to get matching data types when needed. Note that some conversions are not supported, such as Complex to Double or Float.
The conversion to Bool is useful to convert a region to a boolean lattice, which is only possible if the region is given in world coordinates. Otherwise an exception is thrown.

LatticeExprNode value ( const LatticeExprNode & expr ) [friend]