lsst::afw::math::ChebyshevBoundedField Class Reference

A BoundedField based on 2-d Chebyshev polynomials of the first kind. More...

#include <ChebyshevBoundedField.h>

Inheritance diagram for lsst::afw::math::ChebyshevBoundedField:

Public Types
typedef ChebyshevBoundedFieldControl	Control

Public Member Functions
	ChebyshevBoundedField (lsst::geom::Box2I const &bbox, ndarray::Array< double const, 2, 2 > const &coefficients)
	Initialize the field from its bounding box an coefficients. More...
	ChebyshevBoundedField (ChebyshevBoundedField const &)
	ChebyshevBoundedField (ChebyshevBoundedField &&)
ChebyshevBoundedField &	operator= (ChebyshevBoundedField const &)=delete
ChebyshevBoundedField &	operator= (ChebyshevBoundedField &&)=delete
	~ChebyshevBoundedField () override
ndarray::Array< double const, 2, 2 >	getCoefficients () const
	Return the coefficient matrix. More...
std::shared_ptr< ChebyshevBoundedField >	truncate (Control const &ctrl) const
	Return a new ChebyshevBoudedField with maximum orders set by the given control object. More...
std::shared_ptr< ChebyshevBoundedField >	relocate (lsst::geom::Box2I const &bbox) const
	Return a new ChebyshevBoundedField with domain set to the given bounding box. More...
double	evaluate (lsst::geom::Point2D const &position) const override
	Evaluate the field at the given point. More...
double	integrate () const override
	Compute the integral of this function over its bounding-box. More...
double	mean () const override
	Compute the mean of this function over its bounding-box. More...
bool	isPersistable () const noexcept override
	ChebyshevBoundedField is always persistable. More...
std::shared_ptr< BoundedField >	operator* (double const scale) const override
	Return a scaled BoundedField. More...
bool	operator== (BoundedField const &rhs) const override
	BoundedFields (of the same sublcass) are equal if their bounding boxes and parameters are equal. More...
double	evaluate (double x, double y) const
	Evaluate the field at the given point. More...
virtual ndarray::Array< double, 1, 1 >	evaluate (ndarray::Array< double const, 1 > const &x, ndarray::Array< double const, 1 > const &y) const
	Evaluate the field at multiple arbitrary points. More...
lsst::geom::Box2I	getBBox () const
	Return the bounding box that defines the region where the field is valid. More...
template<typename T >
void	fillImage (image::Image< T > &image, bool overlapOnly=false, int xStep=1, int yStep=1) const
	Assign the field to an image, overwriting values already present. More...
template<typename T >
void	addToImage (image::Image< T > &image, double scaleBy=1.0, bool overlapOnly=false, int xStep=1, int yStep=1) const
	Add the field or a constant multiple of it to an image in-place. More...
template<typename T >
void	multiplyImage (image::Image< T > &image, bool overlapOnly=false, int xStep=1, int yStep=1) const
	Multiply an image by the field in-place. More...
template<typename T >
void	divideImage (image::Image< T > &image, bool overlapOnly=false, int xStep=1, int yStep=1) const
	Divide an image by the field in-place. More...
std::shared_ptr< BoundedField >	operator/ (double scale) const
bool	operator!= (BoundedField const &rhs) const
	BoundedFields (of the same sublcass) are equal if their bounding boxes and parameters are equal. More...
void	writeFits (std::string const &fileName, std::string const &mode="w") const
	Write the object to a regular FITS file. More...
void	writeFits (fits::MemFileManager &manager, std::string const &mode="w") const
	Write the object to a FITS image in memory. More...
void	writeFits (fits::Fits &fitsfile) const
	Write the object to an already-open FITS object. More...

Static Public Member Functions
static std::shared_ptr< ChebyshevBoundedField >	fit (lsst::geom::Box2I const &bbox, ndarray::Array< double const, 1 > const &x, ndarray::Array< double const, 1 > const &y, ndarray::Array< double const, 1 > const &z, Control const &ctrl)
	Fit a Chebyshev approximation to non-gridded data with equal weights. More...
static std::shared_ptr< ChebyshevBoundedField >	fit (lsst::geom::Box2I const &bbox, ndarray::Array< double const, 1 > const &x, ndarray::Array< double const, 1 > const &y, ndarray::Array< double const, 1 > const &z, ndarray::Array< double const, 1 > const &w, Control const &ctrl)
	Fit a Chebyshev approximation to non-gridded data with unequal weights. More...
template<typename T >
static std::shared_ptr< ChebyshevBoundedField >	fit (image::Image< T > const &image, Control const &ctrl)
	Fit a Chebyshev approximation to gridded data with equal weights. More...
static std::shared_ptr< ChebyshevBoundedField >	readFits (fits::Fits &fitsfile)
	Read an object from an already open FITS object. More...
static std::shared_ptr< ChebyshevBoundedField >	readFits (std::string const &fileName, int hdu=fits::DEFAULT_HDU)
	Read an object from a regular FITS file. More...
static std::shared_ptr< ChebyshevBoundedField >	readFits (fits::MemFileManager &manager, int hdu=fits::DEFAULT_HDU)
	Read an object from a FITS file in memory. More...
static std::shared_ptr< ChebyshevBoundedField >	dynamicCast (std::shared_ptr< Persistable > const &ptr)
	Dynamically cast a shared_ptr. More...
static std::shared_ptr< BoundedField >	readFits (fits::Fits &fitsfile)
	Read an object from an already open FITS object. More...
static std::shared_ptr< BoundedField >	readFits (std::string const &fileName, int hdu=fits::DEFAULT_HDU)
	Read an object from a regular FITS file. More...
static std::shared_ptr< BoundedField >	readFits (fits::MemFileManager &manager, int hdu=fits::DEFAULT_HDU)
	Read an object from a FITS file in memory. More...
static std::shared_ptr< BoundedField >	dynamicCast (std::shared_ptr< Persistable > const &ptr)
	Dynamically cast a shared_ptr. More...

Protected Types
typedef io::OutputArchiveHandle	OutputArchiveHandle

Protected Member Functions
std::string	getPersistenceName () const override
	Return the unique name used to persist this object and look up its factory. More...
std::string	getPythonModule () const override
	Return the fully-qualified Python module that should be imported to guarantee that its factory is registered. More...
void	write (OutputArchiveHandle &handle) const override
	Write the object to one or more catalogs. More...

Detailed Description

A BoundedField based on 2-d Chebyshev polynomials of the first kind.

The 2-d Chebyshev polynomial used here is defined as:

\[ f(x,y) = \sum_i \sum_j a_{i,j} T_i(x) T_j(y) \]

where \(T_n(x)\) is the n-th order Chebyshev polynomial of \(x\) and \(a_{i,j}\) is the corresponding coefficient of the (i,j) polynomial term.

ChebyshevBoundedField supports fitting to gridded and non-gridded data, as well coefficient matrices with different x- and y-order.

There is currently quite a bit of duplication of functionality between ChebyshevBoundedField, ApproximateChebyshev, and Chebyshev1Function2; the intent is that ChebyshevBoundedField will ultimately replace ApproximateChebyshev and should be preferred over Chebyshev1Function2 when the parametrization interface that is part of the Function2 class is not needed.

Definition at line 76 of file ChebyshevBoundedField.h.

Member Typedef Documentation

Control

typedef ChebyshevBoundedFieldControl lsst::afw::math::ChebyshevBoundedField::Control

Definition at line 79 of file ChebyshevBoundedField.h.

OutputArchiveHandle

typedef io::OutputArchiveHandle lsst::afw::table::io::Persistable::OutputArchiveHandle

protectedinherited

Definition at line 108 of file Persistable.h.

Constructor & Destructor Documentation

ChebyshevBoundedField() [1/3]

lsst::afw::math::ChebyshevBoundedField::ChebyshevBoundedField	(	lsst::geom::Box2I const &	bbox,
		ndarray::Array< double const, 2, 2 > const &	coefficients
	)

Initialize the field from its bounding box an coefficients.

This constructor is mostly intended for testing purposes and persistence, but it also provides a way to initialize the object from Chebyshev coefficients derived from some external source.

Note that because the bounding box provided is always an integer bounding box, and LSST convention puts the center of each pixel at an integer, the actual floating-point domain of the Chebyshev functions is lsst::geom::Box2D(bbox), that is, the box that contains the entirety of all the pixels included in the integer bounding box.

The coefficients are ordered [y,x], so the shape is (orderY+1, orderX+1), and the arguments to the Chebyshev functions are transformed such that the region lsst::geom::Box2D(bbox) is mapped to [-1, 1]x[-1, 1].

Example:

bbox = lsst::geom::Box2I(lsst::geom::Point2I(10, 20), lsst::geom::Point2I(30, 40));
ndarray::Array<double, 2, 2> coeffs = ndarray::allocate(ndarray::makeVector(2, 2));
coeffs[0][0] = 1;
coeffs[1][0] = 2;
coeffs[0][1] = 3;
coeffs[1][1] = 4;
ndarray::Array<double, 2, 2> coeffs = ndarray::external(data);
poly = ChebyshevBoundedField(bbox, coeffs);

will result in the following polynomial:

\[ f(x,y) = 1 T_0(x) T_0(y) + 2 T_0(x) T_1(y) + 3 T_1(x) T_0(y) + 4 T_1(x) T_1(y) \]

Definition at line 60 of file ChebyshevBoundedField.cc.

        : BoundedField(bbox),
          _toChebyshevRange(makeChebyshevRangeTransform(lsst::geom::Box2D(bbox))),
          _coefficients(coefficients) {}

ChebyshevBoundedField() [2/3]

lsst::afw::math::ChebyshevBoundedField::ChebyshevBoundedField ( ChebyshevBoundedField const &  )

default

ChebyshevBoundedField() [3/3]

lsst::afw::math::ChebyshevBoundedField::ChebyshevBoundedField ( ChebyshevBoundedField &&  )

default

~ChebyshevBoundedField()

lsst::afw::math::ChebyshevBoundedField::~ChebyshevBoundedField ( )

overridedefault

Member Function Documentation

addToImage()

template<typename T >

template void lsst::afw::math::BoundedField::addToImage ( image::Image< T > &  image, double  scaleBy = 1.0, bool  overlapOnly = false, int  xStep = 1, int  yStep = 1  ) const

inherited

Add the field or a constant multiple of it to an image in-place.

Parameters

[out]	image	Image to add to.
[in]	scaleBy	Multiply the field by this before adding it to the image.
[in]	overlapOnly	If true, only modify the region in the intersection of image.getBBox(image::PARENT) and this->getBBox().
[in]	xStep	Distance between grid points in X to evaluate; values between grid points will be linearly interpolated.
[in]	yStep	Distance between grid points in Y to evaluate; values between grid points will be linearly interpolated.

Exceptions

pex::exceptions::RuntimeError

if the bounding boxes do not overlap and overlapOnly=false.

Definition at line 264 of file BoundedField.cc.

                                               {
    applyToImage(*this, img, ScaledAdd(scaleBy), overlapOnly, xStep, yStep);
}

divideImage()

template<typename T >

template void lsst::afw::math::BoundedField::divideImage ( image::Image< T > &  image, bool  overlapOnly = false, int  xStep = 1, int  yStep = 1  ) const

inherited

Divide an image by the field in-place.

Parameters

[out]	image	Image to fill.
[in]	overlapOnly	If true, only modify the region in the intersection of image.getBBox(image::PARENT) and this->getBBox().
[in]	xStep	Distance between grid points in X to evaluate; values between grid points will be linearly interpolated.
[in]	yStep	Distance between grid points in Y to evaluate; values between grid points will be linearly interpolated.

Exceptions

pex::exceptions::RuntimeError

if the bounding boxes do not overlap and overlapOnly=false.

Definition at line 275 of file BoundedField.cc.

                                                                                               {
    applyToImage(*this, img, Divide(), overlapOnly, xStep, yStep);
}

dynamicCast() [1/2]

template std::shared_ptr< meas::extensions::psfex::PsfexPsf > lsst::afw::table::io::PersistableFacade< BoundedField >::dynamicCast ( std::shared_ptr< Persistable > const &  ptr )

staticinherited

Dynamically cast a shared_ptr.

Dynamically cast a shared pointer and raise on failure.

You must provide an explicit template instantiation in the .cc file for each class that inherits from PersistableFacade. Designed to work around RTTI issues on macOS with hidden symbols;

Exceptions

lsst::pex::exceptions::LogicError

if the cast fails

param[in] ptr The pointer to be cast.

Returns

The cast pointer.

Exceptions

lsst::pex::exceptions::TypeError

If the dynamic cast fails.

Definition at line 18 of file Persistable.cc.

                                                                                        {
    auto result = std::dynamic_pointer_cast<T>(ptr);
    if (!result) {
        throw LSST_EXCEPT(pex::exceptions::TypeError, "Dynamic pointer cast failed");
    }
    return result;
}

dynamicCast() [2/2]

template std::shared_ptr< meas::extensions::psfex::PsfexPsf > lsst::afw::table::io::PersistableFacade< ChebyshevBoundedField >::dynamicCast ( std::shared_ptr< Persistable > const &  ptr )

staticinherited

Dynamically cast a shared_ptr.

Dynamically cast a shared pointer and raise on failure.

You must provide an explicit template instantiation in the .cc file for each class that inherits from PersistableFacade. Designed to work around RTTI issues on macOS with hidden symbols;

Exceptions

lsst::pex::exceptions::LogicError

if the cast fails

param[in] ptr The pointer to be cast.

Returns

The cast pointer.

Exceptions

lsst::pex::exceptions::TypeError

If the dynamic cast fails.

Definition at line 18 of file Persistable.cc.

                                                                                        {
    auto result = std::dynamic_pointer_cast<T>(ptr);
    if (!result) {
        throw LSST_EXCEPT(pex::exceptions::TypeError, "Dynamic pointer cast failed");
    }
    return result;
}

evaluate() [1/3]

double lsst::afw::math::BoundedField::evaluate ( double  x, double  y  ) const

inlineinherited

Evaluate the field at the given point.

This delegates to the evaluate() method that takes lsst::geom::Point2D.

There is no bounds-checking on the given position; this is the responsibility of the user, who can almost always do it more efficiently.

Definition at line 75 of file BoundedField.h.

{ return evaluate(lsst::geom::Point2D(x, y)); }

evaluate() [2/3]

ndarray::Array< double, 1, 1 > lsst::afw::math::BoundedField::evaluate ( ndarray::Array< double const, 1 > const &  x, ndarray::Array< double const, 1 > const &  y  ) const

virtualinherited

Evaluate the field at multiple arbitrary points.

Parameters

[in]	x	array of x coordinates, same shape as y
[in]	y	array of y coordinates, same shape as x

Returns

an array of output values, same shape as x and y

There is no bounds-checking on the given positions; this is the responsibility of the user, who can almost always do it more efficiently.

Reimplemented in lsst::afw::math::PixelAreaBoundedField, lsst::afw::math::TransformBoundedField, and lsst::afw::math::ProductBoundedField.

Definition at line 40 of file BoundedField.cc.

                                                                                                  {
    ndarray::Array<double, 1, 1> out = ndarray::allocate(x.getSize<0>());
    for (int i = 0, n = x.getSize<0>(); i < n; ++i) {
        out[i] = evaluate(x[i], y[i]);
    }
    return out;
}

evaluate() [3/3]

double lsst::afw::math::ChebyshevBoundedField::evaluate ( lsst::geom::Point2D const &  position ) const

overridevirtual

Evaluate the field at the given point.

This is the only abstract method to be implemented by subclasses.

Subclasses should not provide bounds checking on the given position; this is the responsibility of the user, who can almost always do it more efficiently.

Implements lsst::afw::math::BoundedField.

Definition at line 282 of file ChebyshevBoundedField.cc.

                                                                            {
    lsst::geom::Point2D p = _toChebyshevRange(position);
    return evaluateFunction1d(RecursionArrayImitator(_coefficients, p.getX()), p.getY(),
                              _coefficients.getSize<0>());
}

fillImage()

template<typename T >

template void lsst::afw::math::BoundedField::fillImage ( image::Image< T > &  image, bool  overlapOnly = false, int  xStep = 1, int  yStep = 1  ) const

inherited

Assign the field to an image, overwriting values already present.

Parameters

[out]	image	Image to fill.
[in]	overlapOnly	If true, only modify the region in the intersection of image.getBBox(image::PARENT) and this->getBBox().
[in]	xStep	Distance between grid points in X to evaluate; values between grid points will be linearly interpolated.
[in]	yStep	Distance between grid points in Y to evaluate; values between grid points will be linearly interpolated.

Exceptions

pex::exceptions::RuntimeError

if the bounding boxes do not overlap and overlapOnly=false.

Definition at line 259 of file BoundedField.cc.

                                                                                             {
    applyToImage(*this, img, Assign(), overlapOnly, xStep, yStep);
}

fit() [1/3]

std::shared_ptr< ChebyshevBoundedField > lsst::afw::math::ChebyshevBoundedField::fit ( lsst::geom::Box2I const &  bbox, ndarray::Array< double const, 1 > const &  x, ndarray::Array< double const, 1 > const &  y, ndarray::Array< double const, 1 > const &  z, Control const &  ctrl  )

static

Fit a Chebyshev approximation to non-gridded data with equal weights.

Parameters

[in]	bbox	Integer bounding box of the resulting approximation. All given points must lie within lsst::geom::Box2D(bbox).
[in]	x	Array of x coordinate values.
[in]	y	Array of y coordinate values.
[in]	z	Array of field values to be fit at each (x,y) point.
[in]	ctrl	Specifies the orders and triangularity of the coefficient matrix.

Definition at line 149 of file ChebyshevBoundedField.cc.

                                                                                       {
    // Initialize the result object, so we can make use of the AffineTransform it builds
    std::shared_ptr<ChebyshevBoundedField> result(new ChebyshevBoundedField(bbox));
    // This packer object knows how to map the 2-d Chebyshev functions onto a 1-d array,
    // using only those that the control says should have nonzero coefficients.
    Packer const packer(ctrl);
    // Create a "design matrix" for the linear least squares problem (A in min||Ax-b||)
    ndarray::Array<double, 2, 2> matrix = makeMatrix(x, y, result->_toChebyshevRange, packer, ctrl);
    // Solve the linear least squares problem.
    LeastSquares lstsq = LeastSquares::fromDesignMatrix(matrix, z, LeastSquares::NORMAL_EIGENSYSTEM);
    // Unpack the solution into a 2-d matrix, with zeros for values we didn't fit.
    result->_coefficients = packer.unpack(lstsq.getSolution());
    return result;
}

fit() [2/3]

std::shared_ptr< ChebyshevBoundedField > lsst::afw::math::ChebyshevBoundedField::fit ( lsst::geom::Box2I const &  bbox, ndarray::Array< double const, 1 > const &  x, ndarray::Array< double const, 1 > const &  y, ndarray::Array< double const, 1 > const &  z, ndarray::Array< double const, 1 > const &  w, Control const &  ctrl  )

static

Fit a Chebyshev approximation to non-gridded data with unequal weights.

Parameters

[in]	bbox	Integer bounding box of the resulting approximation. All given points must lie within lsst::geom::Box2D(bbox).
[in]	x	Array of x coordinate values.
[in]	y	Array of y coordinate values.
[in]	z	Array of field values to be fit at each (x,y) point.
[in]	w	Array of weights for each point in the fit. For points with Gaussian noise, w = 1/sigma.
[in]	ctrl	Specifies the orders and triangularity of the coefficient matrix.

Definition at line 168 of file ChebyshevBoundedField.cc.

                                                                                       {
    // Initialize the result object, so we can make use of the AffineTransform it builds
    std::shared_ptr<ChebyshevBoundedField> result(new ChebyshevBoundedField(bbox));
    // This packer object knows how to map the 2-d Chebyshev functions onto a 1-d array,
    // using only those that the control says should have nonzero coefficients.
    Packer const packer(ctrl);
    // Create a "design matrix" for the linear least squares problem ('A' in min||Ax-b||)
    ndarray::Array<double, 2, 2> matrix = makeMatrix(x, y, result->_toChebyshevRange, packer, ctrl);
    // We want to do weighted least squares, so we multiply both the data vector 'b' and the
    // matrix 'A' by the weights.
    ndarray::asEigenArray(matrix).colwise() *= ndarray::asEigenArray(w);
    ndarray::Array<double, 1, 1> wz = ndarray::copy(z);
    ndarray::asEigenArray(wz) *= ndarray::asEigenArray(w);
    // Solve the linear least squares problem.
    LeastSquares lstsq = LeastSquares::fromDesignMatrix(matrix, wz, LeastSquares::NORMAL_EIGENSYSTEM);
    // Unpack the solution into a 2-d matrix, with zeros for values we didn't fit.
    result->_coefficients = packer.unpack(lstsq.getSolution());
    return result;
}

fit() [3/3]

template<typename T >

std::shared_ptr< ChebyshevBoundedField > lsst::afw::math::ChebyshevBoundedField::fit ( image::Image< T > const &  image, Control const &  ctrl  )

static

Fit a Chebyshev approximation to gridded data with equal weights.

Parameters

[in]	image	The Image containing the data to fit. image.getBBox(PARENT) is used as the bounding box of the BoundedField.
[in]	ctrl	Specifies the orders and triangularity of the coefficient matrix.

Instantiated for float and double.

Note

if the image to be fit is a binned version of the actual image the field should correspond to, call relocate() with the unbinned image's bounding box after fitting.

Definition at line 194 of file ChebyshevBoundedField.cc.

                                                                                       {
    // Initialize the result object, so we can make use of the AffineTransform it builds
    lsst::geom::Box2I bbox = img.getBBox(image::PARENT);
    std::shared_ptr<ChebyshevBoundedField> result(new ChebyshevBoundedField(bbox));
    // This packer object knows how to map the 2-d Chebyshev functions onto a 1-d array,
    // using only those that the control says should have nonzero coefficients.
    Packer const packer(ctrl);
    ndarray::Array<double, 2, 2> matrix = makeMatrix(bbox, result->_toChebyshevRange, packer, ctrl);
    // Flatten the data image into a 1-d vector.
    ndarray::Array<double, 2, 2> imgCopy = ndarray::allocate(img.getArray().getShape());
    imgCopy.deep() = img.getArray();
    ndarray::Array<double const, 1, 1> z = ndarray::flatten<1>(imgCopy);
    // Solve the linear least squares problem.
    LeastSquares lstsq = LeastSquares::fromDesignMatrix(matrix, z, LeastSquares::NORMAL_EIGENSYSTEM);
    // Unpack the solution into a 2-d matrix, with zeros for values we didn't fit.
    result->_coefficients = packer.unpack(lstsq.getSolution());
    return result;
}

getBBox()

lsst::geom::Box2I lsst::afw::math::BoundedField::getBBox ( ) const

inlineinherited

Return the bounding box that defines the region where the field is valid.

Because this is an integer bounding box, its minimum and maximum positions are the centers of the pixels where the field is valid, but the field can be assumed to be valid to the edges of those pixels, which is the boundary you'd get by converting the returned lsst::geom::Box2I into a lsst::geom::Box2D.

Definition at line 112 of file BoundedField.h.

{ return _bbox; }

getCoefficients()

ndarray::Array<double const, 2, 2> lsst::afw::math::ChebyshevBoundedField::getCoefficients ( ) const

inline

Return the coefficient matrix.

The coefficients are ordered [y,x], so the shape is (orderY+1, orderX+1).

Definition at line 180 of file ChebyshevBoundedField.h.

{ return _coefficients; }

getPersistenceName()

std::string lsst::afw::math::ChebyshevBoundedField::getPersistenceName ( ) const

overrideprotectedvirtual

Return the unique name used to persist this object and look up its factory.

Must be less than ArchiveIndexSchema::MAX_NAME_LENGTH characters.

Reimplemented from lsst::afw::table::io::Persistable.

Definition at line 358 of file ChebyshevBoundedField.cc.

                                                          {
    return getChebyshevBoundedFieldPersistenceName();
}

getPythonModule()

std::string lsst::afw::math::ChebyshevBoundedField::getPythonModule ( ) const

overrideprotectedvirtual

Return the fully-qualified Python module that should be imported to guarantee that its factory is registered.

Must be less than ArchiveIndexSchema::MAX_MODULE_LENGTH characters.

Will be ignored if empty.

Reimplemented from lsst::afw::table::io::Persistable.

Definition at line 362 of file ChebyshevBoundedField.cc.

{ return "lsst.afw.math"; }

integrate()

double lsst::afw::math::ChebyshevBoundedField::integrate ( ) const

overridevirtual

Compute the integral of this function over its bounding-box.

Returns

The value of the integral.

Reimplemented from lsst::afw::math::BoundedField.

Definition at line 297 of file ChebyshevBoundedField.cc.

                                              {
    double result = 0;
    double determinant = getBBox().getArea() / 4.0;
    for (ndarray::Size j = 0; j < _coefficients.getSize<0>(); j++) {
        for (ndarray::Size i = 0; i < _coefficients.getSize<1>(); i++) {
            result += _coefficients[j][i] * integrateTn(i) * integrateTn(j);
        }
    }
    return result * determinant;
}

isPersistable()

bool lsst::afw::math::ChebyshevBoundedField::isPersistable ( ) const

inlineoverridevirtualnoexcept

ChebyshevBoundedField is always persistable.

Reimplemented from lsst::afw::table::io::Persistable.

Definition at line 205 of file ChebyshevBoundedField.h.

{ return true; }

mean()

double lsst::afw::math::ChebyshevBoundedField::mean ( ) const

overridevirtual

Compute the mean of this function over its bounding-box.

Returns

The value of the mean.

Reimplemented from lsst::afw::math::BoundedField.

Definition at line 308 of file ChebyshevBoundedField.cc.

{ return integrate() / getBBox().getArea(); }

multiplyImage()

template<typename T >

template void lsst::afw::math::BoundedField::multiplyImage ( image::Image< T > &  image, bool  overlapOnly = false, int  xStep = 1, int  yStep = 1  ) const

inherited

Multiply an image by the field in-place.

Parameters

[out]	image	Image to fill.
[in]	overlapOnly	If true, only modify the region in the intersection of image.getBBox(image::PARENT) and this->getBBox().
[in]	xStep	Distance between grid points in X to evaluate; values between grid points will be linearly interpolated.
[in]	yStep	Distance between grid points in Y to evaluate; values between grid points will be linearly interpolated.

Exceptions

pex::exceptions::RuntimeError

if the bounding boxes do not overlap and overlapOnly=false.

Definition at line 270 of file BoundedField.cc.

                                                                                                 {
    applyToImage(*this, img, Multiply(), overlapOnly, xStep, yStep);
}

operator!=()

bool lsst::afw::math::BoundedField::operator!= ( BoundedField const &  rhs ) const

inlineinherited

BoundedFields (of the same sublcass) are equal if their bounding boxes and parameters are equal.

Definition at line 195 of file BoundedField.h.

{ return !(*this == rhs); };

operator*()

std::shared_ptr< BoundedField > lsst::afw::math::ChebyshevBoundedField::operator* ( double const  scale ) const

overridevirtual

Return a scaled BoundedField.

Parameters

[in]

scale

Scaling factor

Implements lsst::afw::math::BoundedField.

Definition at line 376 of file ChebyshevBoundedField.cc.

                                                                                     {
    return std::make_shared<ChebyshevBoundedField>(getBBox(), ndarray::copy(getCoefficients() * scale));
}

operator/()

std::shared_ptr<BoundedField> lsst::afw::math::BoundedField::operator/ ( double  scale ) const

inlineinherited

Definition at line 190 of file BoundedField.h.

{ return (*this) * (1.0 / scale); }

operator=() [1/2]

ChebyshevBoundedField& lsst::afw::math::ChebyshevBoundedField::operator= ( ChebyshevBoundedField const &  )

delete

operator=() [2/2]

ChebyshevBoundedField& lsst::afw::math::ChebyshevBoundedField::operator= ( ChebyshevBoundedField &&  )

delete

operator==()

bool lsst::afw::math::ChebyshevBoundedField::operator== ( BoundedField const &  rhs ) const

overridevirtual

BoundedFields (of the same sublcass) are equal if their bounding boxes and parameters are equal.

Implements lsst::afw::math::BoundedField.

Definition at line 380 of file ChebyshevBoundedField.cc.

                                                                    {
    auto rhsCasted = dynamic_cast<ChebyshevBoundedField const*>(&rhs);
    if (!rhsCasted) return false;

    return (getBBox() == rhsCasted->getBBox()) &&
           (_coefficients.getShape() == rhsCasted->_coefficients.getShape()) &&
           all(equal(_coefficients, rhsCasted->_coefficients));
}

readFits() [1/6]

static std::shared_ptr<ChebyshevBoundedField > lsst::afw::table::io::PersistableFacade< ChebyshevBoundedField >::readFits ( fits::Fits &  fitsfile )

inlinestaticinherited

Read an object from an already open FITS object.

Parameters

[in]

fitsfile

FITS object to read from, already positioned at the desired HDU.

Definition at line 183 of file Persistable.h.

                                                         {
        return dynamicCast(Persistable::_readFits(fitsfile));
    }

readFits() [2/6]

static std::shared_ptr<BoundedField > lsst::afw::table::io::PersistableFacade< BoundedField >::readFits ( fits::Fits &  fitsfile )

inlinestaticinherited

Read an object from an already open FITS object.

Parameters

[in]

fitsfile

FITS object to read from, already positioned at the desired HDU.

Definition at line 183 of file Persistable.h.

                                                         {
        return dynamicCast(Persistable::_readFits(fitsfile));
    }

readFits() [3/6]

static std::shared_ptr<BoundedField > lsst::afw::table::io::PersistableFacade< BoundedField >::readFits ( std::string const &  fileName, int  hdu = fits::DEFAULT_HDU  )

inlinestaticinherited

Read an object from a regular FITS file.

Parameters

[in]	fileName	Name of the file to read.
[in]	hdu	HDU to read, where 0 is the primary. The special value of afw::fits::DEFAULT_HDU skips the primary HDU if it is empty.

Definition at line 194 of file Persistable.h.

                                                                                           {
        return dynamicCast(Persistable::_readFits(fileName, hdu));
    }

readFits() [4/6]

static std::shared_ptr<ChebyshevBoundedField > lsst::afw::table::io::PersistableFacade< ChebyshevBoundedField >::readFits ( std::string const &  fileName, int  hdu = fits::DEFAULT_HDU  )

inlinestaticinherited

Read an object from a regular FITS file.

Parameters

[in]	fileName	Name of the file to read.
[in]	hdu	HDU to read, where 0 is the primary. The special value of afw::fits::DEFAULT_HDU skips the primary HDU if it is empty.

Definition at line 194 of file Persistable.h.

                                                                                           {
        return dynamicCast(Persistable::_readFits(fileName, hdu));
    }

readFits() [5/6]

static std::shared_ptr<BoundedField > lsst::afw::table::io::PersistableFacade< BoundedField >::readFits ( fits::MemFileManager &  manager, int  hdu = fits::DEFAULT_HDU  )

inlinestaticinherited

Read an object from a FITS file in memory.

Parameters

[in]	manager	Manager for the memory to read from.
[in]	hdu	HDU to read, where 0 is the primary. The special value of afw::fits::DEFAULT_HDU skips the primary HDU if it is empty.

Definition at line 205 of file Persistable.h.

                                                                                             {
        return dynamicCast(Persistable::_readFits(manager, hdu));
    }

readFits() [6/6]

static std::shared_ptr<ChebyshevBoundedField > lsst::afw::table::io::PersistableFacade< ChebyshevBoundedField >::readFits ( fits::MemFileManager &  manager, int  hdu = fits::DEFAULT_HDU  )

inlinestaticinherited

Read an object from a FITS file in memory.

Parameters

[in]	manager	Manager for the memory to read from.
[in]	hdu	HDU to read, where 0 is the primary. The special value of afw::fits::DEFAULT_HDU skips the primary HDU if it is empty.

Definition at line 205 of file Persistable.h.

                                                                                             {
        return dynamicCast(Persistable::_readFits(manager, hdu));
    }

relocate()

std::shared_ptr< ChebyshevBoundedField > lsst::afw::math::ChebyshevBoundedField::relocate

(

lsst::geom::Box2I const &

bbox

)

const

Return a new ChebyshevBoundedField with domain set to the given bounding box.

Because this leaves the coefficients unchanged, it is equivalent to transforming the function by the affine transform that maps the old box to the new one.

Definition at line 240 of file ChebyshevBoundedField.cc.

                                                                                                    {
    return std::make_shared<ChebyshevBoundedField>(bbox, _coefficients);
}

truncate()

std::shared_ptr< ChebyshevBoundedField > lsst::afw::math::ChebyshevBoundedField::truncate

(

Control const &

ctrl

)

const

Return a new ChebyshevBoudedField with maximum orders set by the given control object.

Definition at line 216 of file ChebyshevBoundedField.cc.

                                                                                              {
    if (static_cast<std::size_t>(ctrl.orderX) >= _coefficients.getSize<1>()) {
        throw LSST_EXCEPT(pex::exceptions::LengthError,
                          (boost::format("New x order (%d) exceeds old x order (%d)") % ctrl.orderX %
                           (_coefficients.getSize<1>() - 1))
                                  .str());
    }
    if (static_cast<std::size_t>(ctrl.orderY) >= _coefficients.getSize<0>()) {
        throw LSST_EXCEPT(pex::exceptions::LengthError,
                          (boost::format("New y order (%d) exceeds old y order (%d)") % ctrl.orderY %
                           (_coefficients.getSize<0>() - 1))
                                  .str());
    }
    ndarray::Array<double, 2, 2> coefficients = ndarray::allocate(ctrl.orderY + 1, ctrl.orderX + 1);
    coefficients.deep() = _coefficients[ndarray::view(0, ctrl.orderY + 1)(0, ctrl.orderX + 1)];
    if (ctrl.triangular) {
        Packer packer(ctrl);
        ndarray::Array<double, 1, 1> packed = ndarray::allocate(packer.size);
        packer.pack(packed, coefficients);
        packer.unpack(coefficients, packed);
    }
    return std::make_shared<ChebyshevBoundedField>(getBBox(), coefficients);
}

write()

void lsst::afw::math::ChebyshevBoundedField::write ( OutputArchiveHandle &  handle ) const

overrideprotectedvirtual

Write the object to one or more catalogs.

The handle object passed to this function provides an interface for adding new catalogs and adding nested objects to the same archive (while checking for duplicates). See OutputArchiveHandle for more information.

Reimplemented from lsst::afw::table::io::Persistable.

Definition at line 364 of file ChebyshevBoundedField.cc.

                                                                   {
    PersistenceHelper const keys(_coefficients.getSize<1>(), _coefficients.getSize<0>());
    table::BaseCatalog catalog = handle.makeCatalog(keys.schema);
    std::shared_ptr<table::BaseRecord> record = catalog.addNew();
    record->set(keys.orderX, _coefficients.getSize<1>() - 1);
    record->set(keys.bbox, getBBox());
    (*record)[keys.coefficients].deep() = ndarray::flatten<1>(_coefficients);
    handle.saveCatalog(catalog);
}

writeFits() [1/3]

void lsst::afw::table::io::Persistable::writeFits ( std::string const &  fileName, std::string const &  mode = "w"  ) const

inherited

Write the object to a regular FITS file.

Parameters

[in]	fileName	Name of the file to write to.
[in]	mode	If "w", any existing file with the given name will be overwritten. If "a", new HDUs will be appended to an existing file.

Definition at line 24 of file Persistable.cc.

                                                                                  {
    fits::Fits fitsfile(fileName, mode, fits::Fits::AUTO_CLOSE | fits::Fits::AUTO_CHECK);
    writeFits(fitsfile);
}

writeFits() [2/3]

void lsst::afw::table::io::Persistable::writeFits ( fits::MemFileManager &  manager, std::string const &  mode = "w"  ) const

inherited

Write the object to a FITS image in memory.

Parameters

[in]	manager	Name of the file to write to.
[in]	mode	If "w", any existing file with the given name will be overwritten. If "a", new HDUs will be appended to an existing file.

Definition at line 29 of file Persistable.cc.

                                                                                    {
    fits::Fits fitsfile(manager, mode, fits::Fits::AUTO_CLOSE | fits::Fits::AUTO_CHECK);
    writeFits(fitsfile);
}

writeFits() [3/3]

void lsst::afw::table::io::Persistable::writeFits ( fits::Fits &  fitsfile ) const

inherited

Write the object to an already-open FITS object.

Parameters

[in]

fitsfile

Open FITS object to write to.

Definition at line 18 of file Persistable.cc.

                                                    {
    OutputArchive archive;
    archive.put(this);
    archive.writeFits(fitsfile);
}

---

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

• /j/snowflake/release/lsstsw/stack/Linux64/afw/19.0.0-4-ga671dab3b+1/include/lsst/afw/math/ChebyshevBoundedField.h
• /j/snowflake/release/lsstsw/stack/Linux64/afw/19.0.0-4-ga671dab3b+1/src/math/ChebyshevBoundedField.cc