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lsst::afw::math::Chebyshev1Function2< ReturnT > Class Template Reference

2-dimensional weighted sum of Chebyshev polynomials of the first kind. More...

#include <FunctionLibrary.h>

Inheritance diagram for lsst::afw::math::Chebyshev1Function2< ReturnT >:

## Public Member Functions

Chebyshev1Function2 (unsigned int order, lsst::geom::Box2D const &xyRange=lsst::geom::Box2D(lsst::geom::Point2D(-1.0, -1.0), lsst::geom::Point2D(1.0, 1.0)))
Construct a Chebyshev polynomial of specified order and range.

Chebyshev1Function2 (std::vector< double > params, lsst::geom::Box2D const &xyRange=lsst::geom::Box2D(lsst::geom::Point2D(-1.0, -1.0), lsst::geom::Point2D(1.0, 1.0)))
Construct a Chebyshev polynomial with specified parameters and range.

Chebyshev1Function2 (Chebyshev1Function2 const &)=default

Chebyshev1Function2 (Chebyshev1Function2 &&)=default

Chebyshev1Function2operator= (Chebyshev1Function2 const &)=default

Chebyshev1Function2operator= (Chebyshev1Function2 &&)=default

~Chebyshev1Function2 () noexcept override=default

std::shared_ptr< Function2< ReturnT > > clone () const override
Return a pointer to a deep copy of this function.

lsst::geom::Box2D getXYRange () const noexcept
Get x,y range.

virtual Chebyshev1Function2 truncate (int truncOrder) const
Return a truncated copy of lower (or equal) order.

ReturnT operator() (double x, double y) const override

std::string toString (std::string const &prefix) const override
Return a string representation of the function.

bool isPersistable () const noexcept override
Return true if this particular object can be persisted using afw::table::io.

int getOrder () const noexcept
Get the polynomial order.

bool isLinearCombination () const noexcept override
Is the function a linear combination of its parameters?

std::vector< double > getDFuncDParameters (double x, double y) const override
Return the derivative of the Function with respect to its parameters.

unsigned int getNParameters () const noexcept
Return the number of function parameters.

virtual double getParameter (unsigned int ind) const
Get one function parameter without range checking.

std::vector< double > const & getParameters () const noexcept
Return all function parameters.

void setParameter (unsigned int ind, double newValue)
Set one function parameter without range checking.

void setParameters (std::vector< double > const &params)
Set all function parameters.

void writeFits (std::string const &fileName, std::string const &mode="w") const
Write the object to a regular FITS file.

void writeFits (fits::MemFileManager &manager, std::string const &mode="w") const
Write the object to a FITS image in memory.

void writeFits (fits::Fits &fitsfile) const
Write the object to an already-open FITS object.

## Static Public Member Functions

static int nParametersFromOrder (int order)
Compute number of parameters from polynomial order.

static int orderFromNParameters (int nParameters)
Compute polynomial order from the number of parameters.

static std::shared_ptr< Function2< ReturnT > > readFits (fits::Fits &fitsfile)

static std::shared_ptr< Function2< ReturnT > > readFits (std::string const &fileName, int hdu=fits::DEFAULT_HDU)
Read an object from a regular FITS file.

static std::shared_ptr< Function2< ReturnT > > readFits (fits::MemFileManager &manager, int hdu=fits::DEFAULT_HDU)
Read an object from a FITS file in memory.

static std::shared_ptr< Function< ReturnT > > readFits (fits::Fits &fitsfile)

static std::shared_ptr< Function< ReturnT > > readFits (std::string const &fileName, int hdu=fits::DEFAULT_HDU)
Read an object from a regular FITS file.

static std::shared_ptr< Function< ReturnT > > readFits (fits::MemFileManager &manager, int hdu=fits::DEFAULT_HDU)
Read an object from a FITS file in memory.

static std::shared_ptr< Function2< ReturnT > > dynamicCast (std::shared_ptr< Persistable > const &ptr)
Dynamically cast a shared_ptr.

static std::shared_ptr< Function< ReturnT > > dynamicCast (std::shared_ptr< Persistable > const &ptr)
Dynamically cast a shared_ptr.

## Protected Types

using OutputArchiveHandle = io::OutputArchiveHandle

## Protected Member Functions

std::string getPersistenceName () const override
Return the unique name used to persist this object and look up its factory.

void write (afw::table::io::OutputArchiveHandle &handle) const override
Write the object to one or more catalogs.

Chebyshev1Function2 ()

std::string getPythonModule () const override
Return the fully-qualified Python module that should be imported to guarantee that its factory is registered.

## Protected Attributes

int _order
order of polynomial

std::vector< double > _params

bool _isCacheValid

## Detailed Description

template<typename ReturnT>
class lsst::afw::math::Chebyshev1Function2< ReturnT >

2-dimensional weighted sum of Chebyshev polynomials of the first kind.

f(x,y) = c0 T0(x') T0(y') # order 0

• c1 T1(x') T0(y') + c2 T0(x') T1(y') # order 1
• c3 T2(x') T0(y') + c4 T1(x') T1(y') + c5 T0(x') T2(y') # order 2
• ...

= c0 # order 0

• c1 T1(x') + c2 T1(y') # order 1
• c3 T2(x') + c4 T1(x') T1(y') + c5 T2(y') # order 2
• ...

where:

• Tn(x) is the nth Chebyshev function of the first kind: T0(x) = 1 T1(x) = x Tn+1(x) = 2xTn(x) + Tn-1(x)
• x' is x offset and scaled to range [-1, 1] as x ranges over [minX, maxX]
• y' is y offset and scaled to range [-1, 1] as y ranges over [minY, maxY]

Return value is incorrect if function arguments are not in the range [minX, maxX], [minY, maxY].

Definition at line 717 of file FunctionLibrary.h.

## ◆ OutputArchiveHandle

 using lsst::afw::table::io::Persistable::OutputArchiveHandle = io::OutputArchiveHandle
protectedinherited

Definition at line 108 of file Persistable.h.

## ◆ Chebyshev1Function2() [1/5]

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::Chebyshev1Function2 ( unsigned int order, lsst::geom::Box2D const & xyRange = lsst::geom::Box2D(                                         lsst::geom::Point2D(-1.0, -1.0),                                         lsst::geom::Point2D(1.0, 1.0)) )
inlineexplicit

Construct a Chebyshev polynomial of specified order and range.

The parameters are initialized to zero.

Parameters
 order order of polynomial (0 for constant) xyRange allowed x,y range

Definition at line 724 of file FunctionLibrary.h.

728 : BasePolynomialFunction2<ReturnT>(order),
729 _oldYPrime(0),
730 _yCheby(this->_order + 1),
731 _xCoeffs(this->_order + 1) {
732 _initialize(xyRange);
733 }
table::Key< int > order

## ◆ Chebyshev1Function2() [2/5]

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::Chebyshev1Function2 ( std::vector< double > params, lsst::geom::Box2D const & xyRange = lsst::geom::Box2D(                                         lsst::geom::Point2D(-1.0, -1.0),                                         lsst::geom::Point2D(1.0, 1.0)) )
inlineexplicit

Construct a Chebyshev polynomial with specified parameters and range.

The order of the polynomial is set to the length of the params vector.

Exceptions
 lsst::pex::exceptions::InvalidParameterError if params is empty
Parameters
 params polynomial coefficients length must be one of 1, 3, 6, 10, 15... xyRange allowed x,y range

Definition at line 742 of file FunctionLibrary.h.

747 : BasePolynomialFunction2<ReturnT>(params),
748 _oldYPrime(0),
749 _yCheby(this->_order + 1),
750 _xCoeffs(this->_order + 1) {
751 _initialize(xyRange);
752 }

## ◆ Chebyshev1Function2() [3/5]

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::Chebyshev1Function2 ( Chebyshev1Function2< ReturnT > const & )
default

## ◆ Chebyshev1Function2() [4/5]

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::Chebyshev1Function2 ( Chebyshev1Function2< ReturnT > && )
default

## ◆ ~Chebyshev1Function2()

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::~Chebyshev1Function2 ( )
overridedefaultnoexcept

## ◆ Chebyshev1Function2() [5/5]

template<typename ReturnT >
 lsst::afw::math::Chebyshev1Function2< ReturnT >::Chebyshev1Function2 ( )
inlineexplicitprotected

Definition at line 897 of file FunctionLibrary.h.

898 : BasePolynomialFunction2<ReturnT>(),
899 _oldYPrime(0),
900 _yCheby(0),
901 _xCoeffs(0),
902 _minX(0.0),
903 _minY(0.0),
904 _maxX(0.0),
905 _maxY(0.0),
906 _scaleX(1.0),
907 _scaleY(1.0),
908 _offsetX(0.0),
909 _offsetY(0.0) {}

## ◆ clone()

template<typename ReturnT >
 std::shared_ptr< Function2< ReturnT > > lsst::afw::math::Chebyshev1Function2< ReturnT >::clone ( ) const
inlineoverridevirtual

Return a pointer to a deep copy of this function.

This function exists instead of a copy constructor so one can obtain a copy of an actual function instead of a useless copy of the base class.

Every non-virtual function must override this method.

Returns
a pointer to a deep copy of the function

Implements lsst::afw::math::Function2< ReturnT >.

Definition at line 760 of file FunctionLibrary.h.

760 {
762 new Chebyshev1Function2(this->_params, this->getXYRange()));
763 }
lsst::geom::Box2D getXYRange() const noexcept
Get x,y range.
std::vector< double > _params
Definition Function.h:185

## ◆ dynamicCast() [1/2]

 template std::shared_ptr< meas::extensions::psfex::PsfexPsf > lsst::afw::table::io::PersistableFacade< Function< ReturnT > >::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 218 of file Persistable.cc.

## ◆ dynamicCast() [2/2]

 template std::shared_ptr< meas::extensions::psfex::PsfexPsf > lsst::afw::table::io::PersistableFacade< Function2< ReturnT > >::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 218 of file Persistable.cc.

## ◆ getDFuncDParameters()

template<typename ReturnT >
 std::vector< double > lsst::afw::math::BasePolynomialFunction2< ReturnT >::getDFuncDParameters ( double x, double y ) const
inlineoverridevirtualinherited

Return the derivative of the Function with respect to its parameters.

Because this is a polynomial, c0 F0(x,y) + c1 F1(x,y) + c2 F2(x,y) + ... we can set ci = 0 for all i except the parameter of interest and evaluate. This isn't necessarily the most efficient algorithm, but it's general, and you can override it if it isn't suitable for your particular subclass.

Reimplemented from lsst::afw::math::Function2< ReturnT >.

Reimplemented in lsst::afw::math::PolynomialFunction2< ReturnT >.

Definition at line 411 of file Function.h.

411 {
412 unsigned int const numParams = this->getNParameters(); // Number of parameters
413 std::vector<double> deriv(numParams); // Derivatives, to return
414
416 this->clone(); // Dummy function to evaluate for derivatives
417 for (unsigned int i = 0; i < numParams; ++i) {
418 dummy->setParameter(i, 0.0);
419 }
420
421 for (unsigned int i = 0; i < numParams; ++i) {
422 dummy->setParameter(i, 1.0);
423 deriv[i] = (*dummy)(x, y);
424 dummy->setParameter(i, 0.0);
425 }
426
427 return deriv;
428 }
int y
Definition SpanSet.cc:48
virtual std::shared_ptr< Function2< ReturnT > > clone() const =0
Return a pointer to a deep copy of this function.
unsigned int getNParameters() const noexcept
Return the number of function parameters.
Definition Function.h:112

## ◆ getNParameters()

template<typename ReturnT >
 unsigned int lsst::afw::math::Function< ReturnT >::getNParameters ( ) const
inlinenoexceptinherited

Return the number of function parameters.

Returns
the number of function parameters

Definition at line 112 of file Function.h.

112{ return _params.size(); }
T size(T... args)

## ◆ getOrder()

template<typename ReturnT >
 int lsst::afw::math::BasePolynomialFunction2< ReturnT >::getOrder ( ) const
inlinenoexceptinherited

Get the polynomial order.

Definition at line 360 of file Function.h.

360{ return _order; }

## ◆ getParameter()

template<typename ReturnT >
 virtual double lsst::afw::math::Function< ReturnT >::getParameter ( unsigned int ind ) const
inlinevirtualinherited

Get one function parameter without range checking.

Returns
the specified function parameter
Parameters
 ind index of parameter

Definition at line 119 of file Function.h.

120 {
121 return _params[ind];
122 }

## ◆ getParameters()

template<typename ReturnT >
 std::vector< double > const & lsst::afw::math::Function< ReturnT >::getParameters ( ) const
inlinenoexceptinherited

Return all function parameters.

Returns
the function parameters as a vector

Definition at line 129 of file Function.h.

129{ return _params; }

## ◆ getPersistenceName()

template<typename ReturnT >
 std::string lsst::afw::math::Chebyshev1Function2< ReturnT >::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 212 of file FunctionLibrary.cc.

212 {
213 return "Chebyshev1Function2" + Suffix<ReturnT>::get();
214}

## ◆ getPythonModule()

template<typename ReturnT >
 std::string lsst::afw::math::Function< ReturnT >::getPythonModule ( ) const
inlineoverrideprotectedvirtualinherited

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 188 of file Function.h.

188{ return "lsst.afw.math"; }

## ◆ getXYRange()

template<typename ReturnT >
 lsst::geom::Box2D lsst::afw::math::Chebyshev1Function2< ReturnT >::getXYRange ( ) const
inlinenoexcept

Get x,y range.

Definition at line 768 of file FunctionLibrary.h.

768 {
769 return lsst::geom::Box2D(lsst::geom::Point2D(_minX, _minY), lsst::geom::Point2D(_maxX, _maxY));
770 };
A floating-point coordinate rectangle geometry.
Definition Box.h:413

## ◆ isLinearCombination()

template<typename ReturnT >
 bool lsst::afw::math::BasePolynomialFunction2< ReturnT >::isLinearCombination ( ) const
inlineoverridevirtualnoexceptinherited

Is the function a linear combination of its parameters?

Returns
true if the function can be expressed as: sum over i of parameter_i * function_i(args)
Warning
: subclasses must override if true.

Reimplemented from lsst::afw::math::Function< ReturnT >.

Definition at line 362 of file Function.h.

362{ return true; }

## ◆ isPersistable()

template<typename ReturnT >
 bool lsst::afw::math::Chebyshev1Function2< ReturnT >::isPersistable ( ) const
inlineoverridevirtualnoexcept

Return true if this particular object can be persisted using afw::table::io.

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

Definition at line 861 of file FunctionLibrary.h.

861{ return true; }

## ◆ nParametersFromOrder()

template<typename ReturnT >
 static int lsst::afw::math::BasePolynomialFunction2< ReturnT >::nParametersFromOrder ( int order )
inlinestaticinherited

Compute number of parameters from polynomial order.

Exceptions
 lsst::pex::exceptions::InvalidParameterError if order < 0

Definition at line 369 of file Function.h.

369 {
370 if (order < 0) {
372 os << "order=" << order << " invalid: must be >= 0";
374 }
375 return (order + 1) * (order + 2) / 2;
376 }
#define LSST_EXCEPT(type,...)
Create an exception with a given type.
Definition Exception.h:48
std::ostream * os
Definition Schema.cc:557
Reports invalid arguments.
Definition Runtime.h:66

## ◆ operator()()

template<typename ReturnT >
 ReturnT lsst::afw::math::Chebyshev1Function2< ReturnT >::operator() ( double x, double y ) const
inlineoverridevirtual

Implements lsst::afw::math::Function2< ReturnT >.

Definition at line 789 of file FunctionLibrary.h.

789 {
790 /* Solve as follows:
791 - f(x,y) = Cy0 T0(y') + Cy1 T1(y') + Cy2 T2(y') + Cy3 T3(y') + ...
792 where:
793 Cy0 = P0 T0(x') + P1 T1(x') + P3 T2(x') + P6 T3(x') + ...
794 Cy1 = P2 T0(x') + P4 T1(x') + P7 T2(x') + ...
795 Cy2 = P5 T0(x') + P8 T1(x') + ...
796 Cy3 = P9 T0(x') + ...
797 ...
798
799 First compute Tn(x') for each n
800 Then use that to compute Cy0, Cy1, ...Cyn
801 Then solve the y Chebyshev polynomial using the Clenshaw algorithm
802 */
803 double const xPrime = (x + _offsetX) * _scaleX;
804 double const yPrime = (y + _offsetY) * _scaleY;
805
806 const int nParams = static_cast<int>(this->_params.size());
807 const int order = this->_order;
808
809 if (order == 0) {
810 return this->_params[0]; // No caching required
811 }
812
813 if ((yPrime != _oldYPrime) || !this->_isCacheValid) {
814 // update cached _yCheby and _xCoeffs
815 _yCheby[0] = 1.0;
816 _yCheby[1] = yPrime;
817 for (int chebyInd = 2; chebyInd <= order; chebyInd++) {
818 _yCheby[chebyInd] = (2 * yPrime * _yCheby[chebyInd - 1]) - _yCheby[chebyInd - 2];
819 }
820
821 for (int coeffInd = 0; coeffInd <= order; coeffInd++) {
822 _xCoeffs[coeffInd] = 0;
823 }
824 for (int coeffInd = 0, endCoeffInd = 0, paramInd = 0; paramInd < nParams; paramInd++) {
825 _xCoeffs[coeffInd] += this->_params[paramInd] * _yCheby[endCoeffInd];
826 --coeffInd;
827 ++endCoeffInd;
828 if (coeffInd < 0) {
829 coeffInd = endCoeffInd;
830 endCoeffInd = 0;
831 }
832 }
833
834 _oldYPrime = yPrime;
835 this->_isCacheValid = true;
836 }
837
838 // Clenshaw function for solving the Chebyshev polynomial
839 // Non-recursive version from Kresimir Cosic
840 if (order == 1) {
841 return _xCoeffs[0] + (_xCoeffs[1] * xPrime);
842 }
843 double cshPrev = _xCoeffs[order];
844 double csh = (2 * xPrime * _xCoeffs[order]) + _xCoeffs[order - 1];
845 for (int i = order - 2; i > 0; --i) {
846 double cshNext = (2 * xPrime * csh) + _xCoeffs[i] - cshPrev;
847 cshPrev = csh;
848 csh = cshNext;
849 }
850 return (xPrime * csh) + _xCoeffs[0] - cshPrev;
851 }

## ◆ operator=() [1/2]

template<typename ReturnT >
 Chebyshev1Function2 & lsst::afw::math::Chebyshev1Function2< ReturnT >::operator= ( Chebyshev1Function2< ReturnT > && )
default

## ◆ operator=() [2/2]

template<typename ReturnT >
 Chebyshev1Function2 & lsst::afw::math::Chebyshev1Function2< ReturnT >::operator= ( Chebyshev1Function2< ReturnT > const & )
default

## ◆ orderFromNParameters()

template<typename ReturnT >
 static int lsst::afw::math::BasePolynomialFunction2< ReturnT >::orderFromNParameters ( int nParameters )
inlinestaticinherited

Compute polynomial order from the number of parameters.

Only certain values of nParameters are acceptable, including: nParameters order 1 0 3 1 6 2 10 3 15 4 ...

Exceptions
 lsst::pex::exceptions::InvalidParameterError if nParameters is invalid

Definition at line 392 of file Function.h.

392 {
393 int order = static_cast<int>(
394 0.5 + ((-3.0 + (std::sqrt(1.0 + (8.0 * static_cast<double>(nParameters))))) / 2.0));
397 os << "nParameters=" << nParameters << " invalid: order is not an integer";
399 }
400 return order;
401 }
static int nParametersFromOrder(int order)
Compute number of parameters from polynomial order.
Definition Function.h:369
T sqrt(T... args)

 static std::shared_ptr< Function2< ReturnT > > lsst::afw::table::io::PersistableFacade< Function2< ReturnT > >::readFits ( fits::Fits & fitsfile )
inlinestaticinherited

Parameters
 [in] fitsfile FITS object to read from, already positioned at the desired HDU.

Definition at line 183 of file Persistable.h.

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

Parameters
 [in] fitsfile FITS object to read from, already positioned at the desired HDU.

Definition at line 183 of file Persistable.h.

 static std::shared_ptr< Function2< ReturnT > > lsst::afw::table::io::PersistableFacade< Function2< ReturnT > >::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.

 static std::shared_ptr< Function< ReturnT > > lsst::afw::table::io::PersistableFacade< Function< ReturnT > >::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.

 static std::shared_ptr< Function2< ReturnT > > lsst::afw::table::io::PersistableFacade< Function2< ReturnT > >::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.

 static std::shared_ptr< Function< ReturnT > > lsst::afw::table::io::PersistableFacade< Function< ReturnT > >::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.

## ◆ setParameter()

template<typename ReturnT >
 void lsst::afw::math::Function< ReturnT >::setParameter ( unsigned int ind, double newValue )
inlineinherited

Set one function parameter without range checking.

Parameters
 ind index of parameter newValue new value for parameter

Definition at line 143 of file Function.h.

145 {
146 _isCacheValid = false;
147 _params[ind] = newValue;
148 }

## ◆ setParameters()

template<typename ReturnT >
 void lsst::afw::math::Function< ReturnT >::setParameters ( std::vector< double > const & params )
inlineinherited

Set all function parameters.

Exceptions
 lsst::pex::exceptions::InvalidParameterError if the wrong number of parameters is supplied.
Parameters
 params vector of function parameters

Definition at line 156 of file Function.h.

157 {
158 if (_params.size() != params.size()) {
159 throw LSST_EXCEPT(
161 (boost::format("params has %d entries instead of %d") % params.size() % _params.size())
162 .str());
163 }
164 _isCacheValid = false;
165 _params = params;
166 }

## ◆ toString()

template<typename ReturnT >
 std::string lsst::afw::math::Chebyshev1Function2< ReturnT >::toString ( std::string const & ) const
inlineoverridevirtual

Return a string representation of the function.

Returns
a string representation of the function

Reimplemented from lsst::afw::math::Function< ReturnT >.

Definition at line 853 of file FunctionLibrary.h.

853 {
855 os << "Chebyshev1Function2 [";
856 os << this->_order << ", " << this->getXYRange() << "]";
857 os << Function2<ReturnT>::toString(prefix);
858 return os.str();
859 }
std::string prefix

## ◆ truncate()

template<typename ReturnT >
 virtual Chebyshev1Function2 lsst::afw::math::Chebyshev1Function2< ReturnT >::truncate ( int truncOrder ) const
inlinevirtual

Return a truncated copy of lower (or equal) order.

Exceptions
 lsst::pex::exceptions::InvalidParameter if truncated order > original order
Parameters
 truncOrder order of truncated polynomial

Definition at line 777 of file FunctionLibrary.h.

778 {
779 if (truncOrder > this->_order) {
781 os << "truncated order=" << truncOrder << " must be <= original order=" << this->_order;
783 }
784 int truncNParams = this->nParametersFromOrder(truncOrder);
785 std::vector<double> truncParams(this->_params.begin(), this->_params.begin() + truncNParams);
786 return Chebyshev1Function2(truncParams, this->getXYRange());
787 }
T begin(T... args)

## ◆ write()

template<typename ReturnT >
 void lsst::afw::math::Chebyshev1Function2< ReturnT >::write ( afw::table::io::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 247 of file FunctionLibrary.cc.

247 {
248 Chebyshev1Function2PersistenceHelper const keys(this->getNParameters());
249 table::BaseCatalog catalog = handle.makeCatalog(keys.schema);
251 keys.coefficients.assignVector(*record, this->getParameters());
253 record->set(keys.min, bbox.getMin());
254 record->set(keys.max, bbox.getMax());
255 handle.saveCatalog(catalog);
256}
AmpInfoBoxKey bbox
Definition Amplifier.cc:117
std::vector< double > const & getParameters() const noexcept
Return all function parameters.
Definition Function.h:129
CatalogT< BaseRecord > BaseCatalog
Definition fwd.h:72

## ◆ writeFits() [1/3]

 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.

18 {
19 OutputArchive archive;
20 archive.put(this);
21 archive.writeFits(fitsfile);
22}

## ◆ 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.

29 {
30 fits::Fits fitsfile(manager, mode, fits::Fits::AUTO_CLOSE | fits::Fits::AUTO_CHECK);
31 writeFits(fitsfile);
32}
void writeFits(std::string const &fileName, std::string const &mode="w") const
Write the object to a regular FITS file.

## ◆ writeFits() [3/3]

 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.

24 {
25 fits::Fits fitsfile(fileName, mode, fits::Fits::AUTO_CLOSE | fits::Fits::AUTO_CHECK);
26 writeFits(fitsfile);
27}

## ◆ _isCacheValid

template<typename ReturnT >
 bool lsst::afw::math::Function< ReturnT >::_isCacheValid
mutableprotectedinherited

Definition at line 186 of file Function.h.

## ◆ _order

template<typename ReturnT >
 int lsst::afw::math::BasePolynomialFunction2< ReturnT >::_order
protectedinherited

order of polynomial

Definition at line 431 of file Function.h.

## ◆ _params

template<typename ReturnT >
 std::vector lsst::afw::math::Function< ReturnT >::_params
protectedinherited

Definition at line 185 of file Function.h.

The documentation for this class was generated from the following files:
• /j/snowflake/release/lsstsw/stack/lsst-scipipe-8.0.0/Linux64/afw/g5a732f18d5+53520f316c/include/lsst/afw/math/FunctionLibrary.h
• /j/snowflake/release/lsstsw/stack/lsst-scipipe-8.0.0/Linux64/afw/g5a732f18d5+53520f316c/src/math/FunctionLibrary.cc