LatticeExprNode.h

Classes

Global Functions -- (full description)
LatticeExprNode -- Bridging class to allow C++ expressions involving lattices (full description)

Global Functions (source)

Interface

LatticeExprNode operator+ (const LatticeExprNode& expr)
LatticeExprNode operator- (const LatticeExprNode& expr)
LatticeExprNode operator! (const LatticeExprNode& expr)
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)
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)
LatticeExprNode operator|| (const LatticeExprNode& left, const LatticeExprNode& right)
LatticeExprNode sin (const LatticeExprNode& expr)
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)
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)
LatticeExprNode abs (const LatticeExprNode& expr)
LatticeExprNode arg (const LatticeExprNode& expr)
LatticeExprNode real (const LatticeExprNode& expr)
LatticeExprNode imag (const LatticeExprNode& expr)
LatticeExprNode min (const LatticeExprNode& expr)
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)
LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction1, const LatticeExprNode& fraction2)
LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction)
LatticeExprNode nelements (const LatticeExprNode& expr)
LatticeExprNode ndim (const LatticeExprNode& expr)
LatticeExprNode length (const LatticeExprNode& expr, const LatticeExprNode& axis)
LatticeExprNode indexin (const LatticeExprNode& axis, const LatticeExprNode& indexFlags)
LatticeExprNode rebin (const LatticeExprNode& expr, const LatticeExprNode& bin)
LatticeExprNode isNaN (const LatticeExprNode& expr)
LatticeExprNode any (const LatticeExprNode& expr)
LatticeExprNode all (const LatticeExprNode& expr)
LatticeExprNode ntrue (const LatticeExprNode& expr)
LatticeExprNode nfalse(const LatticeExprNode& expr)
LatticeExprNode mask (const LatticeExprNode& expr)
LatticeExprNode value (const LatticeExprNode& expr)
LatticeExprNode amp (const LatticeExprNode& left, const LatticeExprNode& right)
LatticeExprNode pa (const LatticeExprNode& left, const LatticeExprNode& right)
LatticeExprNode spectralindex (const LatticeExprNode& left, const LatticeExprNode& right)
LatticeExprNode iif (const LatticeExprNode& condition, const LatticeExprNode& arg1, const LatticeExprNode& arg2)
LatticeExprNode replace (const LatticeExprNode& arg1, const LatticeExprNode& arg2)
LatticeExprNode toFloat (const LatticeExprNode& expr)
LatticeExprNode toDouble (const LatticeExprNode& expr)
LatticeExprNode toComplex (const LatticeExprNode& expr)
LatticeExprNode toDComplex(const LatticeExprNode& expr)
LatticeExprNode toBool (const LatticeExprNode& expr)

Description

Global functions operating on a LatticeExprNode.

Member Description

LatticeExprNode operator+ (const LatticeExprNode& expr)
LatticeExprNode operator- (const LatticeExprNode& expr)
LatticeExprNode operator! (const LatticeExprNode& expr)

Unary functions.

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)

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)

Logical binary operators

LatticeExprNode sin (const LatticeExprNode& expr)
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)

Numerical 1-argument functions

LatticeExprNode atan2 (const LatticeExprNode& left, const LatticeExprNode& right)
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)

Numerical 2-argument functions

LatticeExprNode formComplex (const LatticeExprNode& left, const LatticeExprNode& right)

Form a complex number from two real numbers.

LatticeExprNode abs (const LatticeExprNode& expr)
LatticeExprNode arg (const LatticeExprNode& expr)
LatticeExprNode real (const LatticeExprNode& expr)
LatticeExprNode imag (const LatticeExprNode& expr)

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

LatticeExprNode min (const LatticeExprNode& expr)
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)

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

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. Thus fraction=0.5 is equal to the median.

LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction1, const LatticeExprNode& fraction2)
LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction)

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 is equal to 1-fraction1. Thus fraction=0.25 gives the quartile range of the lattice.

LatticeExprNode nelements (const LatticeExprNode& expr)

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 ndim (const LatticeExprNode& expr)

1-argument function to get the dimensionality of a lattice. 0 is returned if it is a scalar. Results in a scalar Float.

LatticeExprNode length (const LatticeExprNode& expr, const LatticeExprNode& axis)

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 1. If the axis is a number < 1, an exception is thrown. If the axis is a number exceeding the dimensionality, 1 is returned.

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. 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 1. If the axis is a number < 1 or > ndim, an exception is thrown.

LatticeExprNode rebin (const LatticeExprNode& expr, const LatticeExprNode& bin)

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 isNaN (const LatticeExprNode& expr)

Test if a value is a NaN.

LatticeExprNode any (const LatticeExprNode& expr)
LatticeExprNode all (const LatticeExprNode& expr)
LatticeExprNode ntrue (const LatticeExprNode& expr)
LatticeExprNode nfalse(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 mask (const LatticeExprNode& expr)

This function returns the mask of the given expression. If it has no mask, the result is an array with all True values.

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

LatticeExprNode pa (const LatticeExprNode& left, const LatticeExprNode& right)

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.

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++. 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 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. 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 toFloat (const LatticeExprNode& expr)
LatticeExprNode toDouble (const LatticeExprNode& expr)
LatticeExprNode toComplex (const LatticeExprNode& expr)
LatticeExprNode toDComplex(const LatticeExprNode& expr)
LatticeExprNode toBool (const LatticeExprNode& expr)

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.


class LatticeExprNode

Interface

friend LatticeExprNode operator+ (const LatticeExprNode& expr)
friend LatticeExprNode operator- (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 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 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 LatticeExprNode sin (const LatticeExprNode& expr)
friend LatticeExprNode sinh (const LatticeExprNode& expr)
friend LatticeExprNode asin (const LatticeExprNode& expr)
friend LatticeExprNode cos (const LatticeExprNode& expr)
friend LatticeExprNode cosh (const LatticeExprNode& expr)
friend LatticeExprNode acos (const LatticeExprNode& expr)
friend LatticeExprNode tan (const LatticeExprNode& expr)
friend LatticeExprNode tanh (const LatticeExprNode& expr)
friend LatticeExprNode atan (const LatticeExprNode& expr)
friend LatticeExprNode exp (const LatticeExprNode& expr)
friend LatticeExprNode log (const LatticeExprNode& expr)
friend LatticeExprNode log10(const LatticeExprNode& expr)
friend LatticeExprNode sqrt (const LatticeExprNode& expr)
friend LatticeExprNode sign (const LatticeExprNode& expr)
friend LatticeExprNode round(const LatticeExprNode& expr)
friend LatticeExprNode ceil (const LatticeExprNode& expr)
friend LatticeExprNode floor(const LatticeExprNode& expr)
friend LatticeExprNode conj (const LatticeExprNode& expr)
friend LatticeExprNode atan2 (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode pow (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode fmod (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode min (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode max (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode formComplex (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode abs (const LatticeExprNode& expr)
friend LatticeExprNode arg (const LatticeExprNode& expr)
friend LatticeExprNode real (const LatticeExprNode& expr)
friend LatticeExprNode imag (const LatticeExprNode& expr)
friend LatticeExprNode min (const LatticeExprNode& expr)
friend LatticeExprNode max (const LatticeExprNode& expr)
friend LatticeExprNode sum (const LatticeExprNode& expr)
friend LatticeExprNode median (const LatticeExprNode& expr)
friend LatticeExprNode mean (const LatticeExprNode& expr)
friend LatticeExprNode variance (const LatticeExprNode& expr)
friend LatticeExprNode stddev (const LatticeExprNode& expr)
friend LatticeExprNode avdev (const LatticeExprNode& expr)
friend LatticeExprNode fractile (const LatticeExprNode& expr, const LatticeExprNode& fraction)
friend LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction1, const LatticeExprNode& fraction2)
friend LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction)
friend LatticeExprNode nelements (const LatticeExprNode& expr)
friend LatticeExprNode ndim (const LatticeExprNode& expr)
friend LatticeExprNode length (const LatticeExprNode& expr, const LatticeExprNode& axis)
friend LatticeExprNode indexin (const LatticeExprNode& axis, const LatticeExprNode& indexFlags)
friend LatticeExprNode rebin (const LatticeExprNode& expr, const LatticeExprNode& bin)
friend LatticeExprNode isNaN (const LatticeExprNode& expr)
friend LatticeExprNode any (const LatticeExprNode& expr)
friend LatticeExprNode all (const LatticeExprNode& expr)
friend LatticeExprNode ntrue (const LatticeExprNode& expr)
friend LatticeExprNode nfalse(const LatticeExprNode& expr)
friend LatticeExprNode mask (const LatticeExprNode& expr)
friend LatticeExprNode value (const LatticeExprNode& expr)
friend LatticeExprNode amp (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode pa (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode spectralindex (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode iif (const LatticeExprNode& condition, const LatticeExprNode& arg1, const LatticeExprNode& arg2)
friend LatticeExprNode replace (const LatticeExprNode& arg1, const LatticeExprNode& arg2)
friend LatticeExprNode toFloat (const LatticeExprNode& expr)
friend LatticeExprNode toDouble (const LatticeExprNode& expr)
friend LatticeExprNode toComplex (const LatticeExprNode& expr)
friend LatticeExprNode toDComplex(const LatticeExprNode& expr)
friend LatticeExprNode toBool (const LatticeExprNode& expr)
Public Members
LatticeExprNode()
LatticeExprNode (Int constant)
LatticeExprNode (Float constant)
LatticeExprNode (Double constant)
LatticeExprNode (const Complex& constant)
LatticeExprNode (const DComplex& constant)
LatticeExprNode (Bool constant)
LatticeExprNode (const IPosition&)
LatticeExprNode (const Lattice<Float>& lattice)
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)
LatticeExprNode (const Slicer& slicer)
LatticeExprNode (const LattRegionHolder& region)
LatticeExprNode operator[] (const LatticeExprNode& cond) const
LatticeExprNode (const LatticeExprNode& other)
virtual ~LatticeExprNode()
LatticeExprNode& operator= (const LatticeExprNode& other)
const IPosition& getIPosition() const
CountedPtr<LELInterface<Float> > makeFloat() const
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
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
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
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
Array<Double> getArrayDouble() const
Array<Complex> getArrayComplex() const
Array<DComplex> getArrayDComplex() const
Array<Bool> getArrayBool() const
DataType dataType() const
Bool isRegion() const
Bool isScalar() const
Bool isMasked() const
Bool isInvalidScalar() const
const IPosition& shape() const
const LELAttribute& getAttribute() const
Bool replaceScalarExpr()
LatticeExprNode(const CountedPtr<LELInterface<Float> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<Double> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<Complex> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<DComplex> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<Bool> >& expr)
static DataType resultDataType (DataType left, DataType right)
static LELAttribute checkArg (const Block<LatticeExprNode>& arg, const Block<Int>& argType, Bool expectArray, Bool matchAxes = True)
Bool lock (FileLocker::LockType, uInt nattempts)
void unlock()
Bool hasLock (FileLocker::LockType) const
void resync()
Private Members
LatticeExprNode(LELInterface<Float>* expr)
LatticeExprNode(LELInterface<Double>* expr)
LatticeExprNode(LELInterface<Complex>* expr)
LatticeExprNode(LELInterface<DComplex>* expr)
LatticeExprNode(LELInterface<Bool>* expr)
static Bool areRegions (const LatticeExprNode& left, const LatticeExprNode& right)
static LatticeExprNode newNumUnary (LELUnaryEnums::Operation oper, const LatticeExprNode& expr)
static LatticeExprNode newNumFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)
static LatticeExprNode newRealFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)
static LatticeExprNode newComplexFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)
static LatticeExprNode newNumReal1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)
static LatticeExprNode newNumFunc2D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& left, const LatticeExprNode& right)
static LatticeExprNode newNumBinary (LELBinaryEnums::Operation oper, const LatticeExprNode& left, const LatticeExprNode& right)
static LatticeExprNode newBinaryCmp (LELBinaryEnums::Operation oper, const LatticeExprNode& left, const LatticeExprNode& right)
static Int makeEqualDim (LatticeExprNode& expr0, LatticeExprNode& expr1)
void doPrepare() const

Description

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. 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

Member Description

friend LatticeExprNode operator+ (const LatticeExprNode& expr)
friend LatticeExprNode operator- (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 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 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 LatticeExprNode sin (const LatticeExprNode& expr)
friend LatticeExprNode sinh (const LatticeExprNode& expr)
friend LatticeExprNode asin (const LatticeExprNode& expr)
friend LatticeExprNode cos (const LatticeExprNode& expr)
friend LatticeExprNode cosh (const LatticeExprNode& expr)
friend LatticeExprNode acos (const LatticeExprNode& expr)
friend LatticeExprNode tan (const LatticeExprNode& expr)
friend LatticeExprNode tanh (const LatticeExprNode& expr)
friend LatticeExprNode atan (const LatticeExprNode& expr)
friend LatticeExprNode exp (const LatticeExprNode& expr)
friend LatticeExprNode log (const LatticeExprNode& expr)
friend LatticeExprNode log10(const LatticeExprNode& expr)
friend LatticeExprNode sqrt (const LatticeExprNode& expr)
friend LatticeExprNode sign (const LatticeExprNode& expr)
friend LatticeExprNode round(const LatticeExprNode& expr)
friend LatticeExprNode ceil (const LatticeExprNode& expr)
friend LatticeExprNode floor(const LatticeExprNode& expr)
friend LatticeExprNode conj (const LatticeExprNode& expr)
friend LatticeExprNode atan2 (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode pow (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode fmod (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode min (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode max (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode formComplex (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode abs (const LatticeExprNode& expr)
friend LatticeExprNode arg (const LatticeExprNode& expr)
friend LatticeExprNode real (const LatticeExprNode& expr)
friend LatticeExprNode imag (const LatticeExprNode& expr)
friend LatticeExprNode min (const LatticeExprNode& expr)
friend LatticeExprNode max (const LatticeExprNode& expr)
friend LatticeExprNode sum (const LatticeExprNode& expr)
friend LatticeExprNode median (const LatticeExprNode& expr)
friend LatticeExprNode mean (const LatticeExprNode& expr)
friend LatticeExprNode variance (const LatticeExprNode& expr)
friend LatticeExprNode stddev (const LatticeExprNode& expr)
friend LatticeExprNode avdev (const LatticeExprNode& expr)
friend LatticeExprNode fractile (const LatticeExprNode& expr, const LatticeExprNode& fraction)
friend LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction1, const LatticeExprNode& fraction2)
friend LatticeExprNode fractileRange (const LatticeExprNode& expr, const LatticeExprNode& fraction)
friend LatticeExprNode nelements (const LatticeExprNode& expr)
friend LatticeExprNode ndim (const LatticeExprNode& expr)
friend LatticeExprNode length (const LatticeExprNode& expr, const LatticeExprNode& axis)
friend LatticeExprNode indexin (const LatticeExprNode& axis, const LatticeExprNode& indexFlags)
friend LatticeExprNode rebin (const LatticeExprNode& expr, const LatticeExprNode& bin)
friend LatticeExprNode isNaN (const LatticeExprNode& expr)
friend LatticeExprNode any (const LatticeExprNode& expr)
friend LatticeExprNode all (const LatticeExprNode& expr)
friend LatticeExprNode ntrue (const LatticeExprNode& expr)
friend LatticeExprNode nfalse(const LatticeExprNode& expr)
friend LatticeExprNode mask (const LatticeExprNode& expr)
friend LatticeExprNode value (const LatticeExprNode& expr)
friend LatticeExprNode amp (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode pa (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode spectralindex (const LatticeExprNode& left, const LatticeExprNode& right)
friend LatticeExprNode iif (const LatticeExprNode& condition, const LatticeExprNode& arg1, const LatticeExprNode& arg2)
friend LatticeExprNode replace (const LatticeExprNode& arg1, const LatticeExprNode& arg2)
friend LatticeExprNode toFloat (const LatticeExprNode& expr)
friend LatticeExprNode toDouble (const LatticeExprNode& expr)
friend LatticeExprNode toComplex (const LatticeExprNode& expr)
friend LatticeExprNode toDComplex(const LatticeExprNode& expr)
friend LatticeExprNode toBool (const LatticeExprNode& expr)

All global functions need to be declared as friends.

LatticeExprNode()

Default constructor

LatticeExprNode (Int constant)
LatticeExprNode (Float constant)
LatticeExprNode (Double constant)
LatticeExprNode (const Complex& constant)
LatticeExprNode (const DComplex& constant)
LatticeExprNode (Bool constant)

Unary constant expression constructors.

LatticeExprNode (const IPosition&)

Constructor from an IPosition (containing indices or axes).

LatticeExprNode (const Lattice<Float>& lattice)
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)

Lattice expression (gets Lattice pixels) constructors.

LatticeExprNode (const LCRegion& region)
LatticeExprNode (const Slicer& slicer)
LatticeExprNode (const LattRegionHolder& region)

Create a lattice expression from a region. It results in a boolean expression node.

LatticeExprNode operator[] (const LatticeExprNode& cond) const

Masking operator using a condition. The given boolean expression forms a mask/region for this expression node.

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

CountedPtr<LELInterface<Float> > makeFloat() const
CountedPtr<LELInterface<Double> > makeDouble() const
CountedPtr<LELInterface<Complex> > makeComplex() const
CountedPtr<LELInterface<DComplex> > makeDComplex() const
CountedPtr<LELInterface<Bool> > makeBool() const

Convert the expression to another data type.

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

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 evalRef (LELArrayRef<Float>& result, const Slicer& section) const
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

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.

void eval (Float& result) const
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

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.

Array<Float> getArrayFloat() const
Array<Double> getArrayDouble() const
Array<Complex> getArrayComplex() const
Array<DComplex> getArrayDComplex() const
Array<Bool> getArrayBool() const

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

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. axes with a length of one)

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)
LatticeExprNode(const CountedPtr<LELInterface<Double> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<Complex> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<DComplex> >& expr)
LatticeExprNode(const CountedPtr<LELInterface<Bool> >& expr)

Make the object from a Counted pointer. Ideally this function is private, but alas it is needed in LELFunction1D, operator==, and more (too many to make them friend).

static DataType resultDataType (DataType left, DataType right)

Determine the resulting data type from the given data types. An exception is thrown if they are incompatible.

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. 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.

Bool lock (FileLocker::LockType, uInt nattempts)
void unlock()
Bool hasLock (FileLocker::LockType) const
void resync()

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

LatticeExprNode(LELInterface<Float>* expr)
LatticeExprNode(LELInterface<Double>* expr)
LatticeExprNode(LELInterface<Complex>* expr)
LatticeExprNode(LELInterface<DComplex>* expr)
LatticeExprNode(LELInterface<Bool>* expr)

Make the object from a LELInterface* pointer.

static Bool areRegions (const LatticeExprNode& left, const LatticeExprNode& right)

Test if both operands represent a region. An exception is thrown if only one of them is a region.

static LatticeExprNode newNumUnary (LELUnaryEnums::Operation oper, const LatticeExprNode& expr)

Create a new node for a numerical unary operation. The result has the same data type as the input.

static LatticeExprNode newNumFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)

Create a new node for a numerical function with 1 argument. The result has the same data type as the input.

static LatticeExprNode newRealFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)

Create a new node for a real numerical function with 1 argument. The result has the same data type as the input.

static LatticeExprNode newComplexFunc1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)

Create a new node for a complex numerical function with 1 argument. The result has the same data type as the input.

static LatticeExprNode newNumReal1D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& expr)

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

static LatticeExprNode newNumFunc2D (LELFunctionEnums::LELFunctionEnums func, const LatticeExprNode& left, const LatticeExprNode& right)

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 newNumBinary (LELBinaryEnums::Operation oper, const LatticeExprNode& left, const LatticeExprNode& right)

Create a new node for a numerical binary operator. The result has the same data type as the combined input type.

static LatticeExprNode newBinaryCmp (LELBinaryEnums::Operation oper, const LatticeExprNode& left, const LatticeExprNode& right)

Create a new node for a comparison binary operator. The result has the same data type as the combined input type.

static Int makeEqualDim (LatticeExprNode& expr0, LatticeExprNode& expr1)

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.

void doPrepare() const

Do the preparation for the evaluation.