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casacore::GenericL2Fit< T > Class Template Referenceabstract

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#include <GenericL2Fit.h>

Public Member Functions

 GenericL2Fit ()
 Create a fitter: the normal way to generate a fitter object. More...
 
 GenericL2Fit (const GenericL2Fit &other)
 Copy constructor (deep copy) More...
 
GenericL2Fitoperator= (const GenericL2Fit &other)
 Assignment (deep copy) More...
 
virtual ~GenericL2Fit ()
 Destructor. More...
 
template<class U >
void setFunction (const Function< U, U > &function)
 Sets the function to be fitted. More...
 
template<class U >
Bool setConstraint (const uInt n, const Function< U, U > &function, const Vector< typename FunctionTraits< T >::BaseType > &x, const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 Set the possible constraint functions. More...
 
Bool setConstraint (const uInt n, const Vector< typename FunctionTraits< T >::BaseType > &x, const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 
Bool setConstraint (const uInt n, const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 
Bool addConstraint (const Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > &function, const Vector< typename FunctionTraits< T >::BaseType > &x, const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 
Bool addConstraint (const Vector< typename FunctionTraits< T >::BaseType > &x, const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 
Bool addConstraint (const typename FunctionTraits< T >::BaseType y=typename FunctionTraits< T >::BaseType(0))
 
void setCollinearity (const Double cln)
 Set the collinearity factor as the square of the sine of the minimum angle allowed between input vectors (default zero for non-SVD, 1e-8 for SVD) More...
 
void asWeight (const Bool aswgt)
 Set sigma values to be interpreted as weight (i.e. More...
 
void asSVD (const Bool svd)
 Set the use of SVD or not (default). More...
 
Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > * fittedFunction ()
 Return a pointer to the function being fitted. More...
 
const Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > * fittedFunction () const
 
uInt fittedNumber () const
 Return the number of fitted parameters. More...
 
uInt NConstraints ()
 Return the number of constraints, and pointers to constraint functions. More...
 
Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > * getConstraint (const uInt n)
 
Vector< typename LSQTraits< typename FunctionTraits< T >::BaseType >::base > getSVDConstraint (uInt n)
 Return the nth constraint equation derived from SVD Note that the number present will be given by getDeficiency() More...
 
void setParameterValues (const Vector< typename FunctionTraits< T >::BaseType > &parms)
 Set the parameter values. More...
 
void setMaskedParameterValues (const Vector< typename FunctionTraits< T >::BaseType > &parms)
 
Vector< typename FunctionTraits< T >::BaseType > fit (const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 Fit the function to the data. More...
 
Vector< typename FunctionTraits< T >::BaseType > fit (const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 
Vector< typename FunctionTraits< T >::BaseType > fit (const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< Bool > *const mask=0)
 
Vector< typename FunctionTraits< T >::BaseType > fit (const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< Bool > *const mask=0)
 
Vector< typename FunctionTraits< T >::BaseType > fit (const Vector< Bool > *const mask=0)
 
Bool fit (Vector< typename FunctionTraits< T >::BaseType > &sol, const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 
Bool fit (Vector< typename FunctionTraits< T >::BaseType > &sol, const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 
Bool fit (Vector< typename FunctionTraits< T >::BaseType > &sol, const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const typename FunctionTraits< T >::BaseType &sigma, const Vector< Bool > *const mask=0)
 
Bool fit (Vector< typename FunctionTraits< T >::BaseType > &sol, const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const typename FunctionTraits< T >::BaseType &sigma, const Vector< Bool > *const mask=0)
 
Bool fit (Vector< typename FunctionTraits< T >::BaseType > &sol, const Vector< Bool > *const mask=0)
 
Double chiSquare () const
 Obtain the chi squared. More...
 
const Vector< typename FunctionTraits< T >::BaseType > & errors () const
 Get the errors on the solved values. More...
 
Bool errors (Vector< typename FunctionTraits< T >::BaseType > &err) const
 
Matrix< DoublecompuCovariance ()
 Get covariance matrix. More...
 
void compuCovariance (Matrix< Double > &cov)
 
void buildNormalMatrix (const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 Generate the normal equations by one or more calls to the buildNormalMatrix(), before calling a fit() without arguments. More...
 
void buildNormalMatrix (const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > &sigma, const Vector< Bool > *const mask=0)
 
void buildNormalMatrix (const Vector< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< Bool > *const mask=0)
 
void buildNormalMatrix (const Matrix< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< Bool > *const mask=0)
 
Bool residual (Vector< typename FunctionTraits< T >::BaseType > &y, const Array< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &sol, const Bool model=False)
 Return the residual after a fit in y. More...
 
Bool residual (Vector< typename FunctionTraits< T >::BaseType > &y, const Array< typename FunctionTraits< T >::BaseType > &x, const Bool model=False)
 
uInt getRank () const
 Get the rank of the solution (or zero of no fit() done yet). More...
 
- Public Member Functions inherited from casacore::LSQaips
 LSQaips (uInt nUnknowns, uInt nConstraints=0)
 Construct an object with the number of unknown, knowns and constraints, and type, using the default collinearity factor and the default Levenberg-Marquardt adjustment factor. More...
 
 LSQaips (uInt nUnknowns, const LSQReal &, uInt nConstraints=0)
 Allow explicit complex/real specification. More...
 
 LSQaips (uInt nUnknowns, const LSQComplex &, uInt nConstraints=0)
 
 LSQaips ()
 Default constructor (empty, real, only usable after a set(nUnknowns)) More...
 
 LSQaips (const LSQaips &other)
 Copy constructor (deep copy) More...
 
LSQaipsoperator= (const LSQaips &other)
 Assignment (deep copy) More...
 
 ~LSQaips ()
 
template<class U >
void solve (U *sol)
 Solve normal equations. More...
 
template<class U >
void solve (std::complex< U > *sol)
 
template<class U >
void solve (U &sol)
 
template<class U >
void solve (Vector< U > &sol)
 
template<class U >
Bool solveLoop (uInt &nRank, U *sol, Bool doSVD=False)
 Solve a Levenberg-Marquardt loop. More...
 
template<class U >
Bool solveLoop (uInt &nRank, std::complex< U > *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (uInt &nRank, U &sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (uInt &nRank, Vector< U > &sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, U *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, std::complex< U > *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, U &sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, Vector< U > &sol, Bool doSVD=False)
 
template<class U >
Bool getCovariance (U *covar)
 Get the covariance matrix. More...
 
template<class U >
Bool getCovariance (std::complex< U > *covar)
 
template<class U >
Bool getCovariance (Array< U > &covar)
 
template<class U >
Bool getErrors (U *errors)
 Get main diagonal of covariance function (of size nUnknowns) More...
 
template<class U >
Bool getErrors (std::complex< U > *errors)
 
template<class U >
Bool getErrors (U &errors)
 
template<class U >
Bool getErrors (Vector< U > &errors)
 
- Public Member Functions inherited from casacore::LSQFit
 LSQFit (uInt nUnknowns, uInt nConstraints=0)
 Construct an object with the number of unknowns and constraints, using the default collinearity factor and the default Levenberg-Marquardt adjustment factor. More...
 
 LSQFit (uInt nUnknowns, const LSQReal &, uInt nConstraints=0)
 Allow explicit Real specification. More...
 
 LSQFit (uInt nUnknowns, const LSQComplex &, uInt nConstraints=0)
 Allow explicit Complex specification. More...
 
 LSQFit ()
 Default constructor (empty, only usable after a set(nUnknowns)) More...
 
 LSQFit (const LSQFit &other)
 Copy constructor (deep copy) More...
 
LSQFitoperator= (const LSQFit &other)
 Assignment (deep copy) More...
 
 ~LSQFit ()
 
Bool invert (uInt &nRank, Bool doSVD=False)
 Triangularize the normal equations and determine the rank nRank of the normal equations and, in the case of an SVD solution, the constraint equations. More...
 
template<class U >
void copy (const Double *beg, const Double *end, U &sol, LSQReal)
 Copy date from beg to end; converting if necessary to complex data. More...
 
template<class U >
void copy (const Double *beg, const Double *end, U &sol, LSQComplex)
 
template<class U >
void copy (const Double *beg, const Double *end, U *sol, LSQReal)
 
template<class U >
void copy (const Double *beg, const Double *end, U *sol, LSQComplex)
 
template<class U >
void uncopy (Double *beg, const Double *end, U &sol, LSQReal)
 
template<class U >
void uncopy (Double *beg, const Double *end, U &sol, LSQComplex)
 
template<class U >
void uncopy (Double *beg, const Double *end, U *sol, LSQReal)
 
template<class U >
void uncopy (Double *beg, const Double *end, U *sol, LSQComplex)
 
template<class U >
void copyDiagonal (U &errors, LSQReal)
 
template<class U >
void copyDiagonal (U &errors, LSQComplex)
 
template<class U >
void solve (U *sol)
 Solve normal equations. More...
 
template<class U >
void solve (std::complex< U > *sol)
 
template<class U >
void solve (U &sol)
 
template<class U >
Bool solveLoop (uInt &nRank, U *sol, Bool doSVD=False)
 Solve a loop in a non-linear set. More...
 
template<class U >
Bool solveLoop (uInt &nRank, std::complex< U > *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (uInt &nRank, U &sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, U *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, std::complex< U > *sol, Bool doSVD=False)
 
template<class U >
Bool solveLoop (Double &fit, uInt &nRank, U &sol, Bool doSVD=False)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const U &obs, Bool doNorm=True, Bool doKnown=True)
 Make normal equations using the cEq condition equation (cArray) (with nUnknowns elements) and a weight weight, given the known observed value obs. More...
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const U &obs, LSQFit::Real, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const std::complex< U > &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Complex, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Separable, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::AsReal, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Conjugate, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const U &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const V &cEq2, const U &weight, const U &obs, const U &obs2, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const U &obs, LSQFit::Real, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const std::complex< U > &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Complex, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Separable, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::AsReal, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNorm (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Conjugate, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const U &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const U &obs, LSQFit::Real, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const std::complex< U > &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Complex, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Separable, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const std::complex< U > &obs, LSQFit::AsReal, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V >
void makeNorm (const std::vector< std::pair< uInt, V > > &cEq, const U &weight, const std::complex< U > &obs, LSQFit::Conjugate, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNormSorted (uInt nIndex, const W &cEqIndex, const V &cEq, const U &weight, const U &obs, Bool doNorm=True, Bool doKnown=True)
 
template<class U , class V , class W >
void makeNormSorted (uInt nIndex, const W &cEqIndex, const V &cEq, const V &cEq2, const U &weight, const U &obs, const U &obs2, Bool doNorm=True, Bool doKnown=True)
 
template<class U >
Bool getConstraint (uInt n, U *cEq) const
 Get the n-th (from 0 to the rank deficiency, or missing rank, see e.g. More...
 
template<class U >
Bool getConstraint (uInt n, std::complex< U > *cEq) const
 
template<class U >
Bool getConstraint (uInt n, U &cEq) const
 
template<class U , class V >
Bool setConstraint (uInt n, const V &cEq, const U &obs)
 Add a new constraint equation (updating nConstraints); or set a numbered constraint equation (0..nConstraints-1). More...
 
template<class U , class V >
Bool setConstraint (uInt n, const V &cEq, const std::complex< U > &obs)
 
template<class U , class V , class W >
Bool setConstraint (uInt n, uInt nIndex, const W &cEqIndex, const V &cEq, const U &obs)
 
template<class U , class V , class W >
Bool setConstraint (uInt n, uInt nIndex, const W &cEqIndex, const V &cEq, const std::complex< U > &obs)
 
template<class U , class V >
Bool addConstraint (const V &cEq, const U &obs)
 
template<class U , class V >
Bool addConstraint (const V &cEq, const std::complex< U > &obs)
 
template<class U , class V , class W >
Bool addConstraint (uInt nIndex, const W &cEqIndex, const V &cEq, const U &obs)
 
template<class U , class V , class W >
Bool addConstraint (uInt nIndex, const W &cEqIndex, const V &cEq, const std::complex< U > &obs)
 
Bool merge (const LSQFit &other)
 Merge other LSQFit object (i.e. More...
 
Bool merge (const LSQFit &other, uInt nIndex, const uInt *nEqIndex)
 
Bool merge (const LSQFit &other, uInt nIndex, const std::vector< uInt > &nEqIndex)
 
template<class W >
Bool merge (const LSQFit &other, uInt nIndex, const W &nEqIndex)
 
void reset ()
 Reset status to empty. More...
 
void set (uInt nUnknowns, uInt nConstraints=0)
 Set new sizes (default is for Real) More...
 
void set (Int nUnknowns, Int nConstraints=0)
 
void set (uInt nUnknowns, const LSQReal &, uInt nConstraints=0)
 
void set (Int nUnknowns, const LSQReal &, Int nConstraints=0)
 
void set (uInt nUnknowns, const LSQComplex &, uInt nConstraints=0)
 
void set (Int nUnknowns, const LSQComplex &, Int nConstraints=0)
 
void set (Double factor=1e-6, Double LMFactor=1e-3)
 Set new factors (collinearity factor, and Levenberg-Marquardt LMFactor) More...
 
void setEpsValue (Double epsval=1e-8)
 Set new value solution test. More...
 
void setEpsDerivative (Double epsder=1e-8)
 Set new derivative test. More...
 
void setMaxIter (uInt maxiter=0)
 Set maximum number of iterations. More...
 
uInt nIterations () const
 Get number of iterations done. More...
 
void setBalanced (Bool balanced=False)
 Set the expected form of the normal equations. More...
 
LSQFit::ReadyCode isReady () const
 Ask the state of the non-linear solutions. More...
 
const std::string & readyText () const
 
template<class U >
Bool getCovariance (U *covar)
 Get the covariance matrix (of size nUnknowns * nUnknowns) More...
 
template<class U >
Bool getCovariance (std::complex< U > *covar)
 
template<class U >
Bool getErrors (U *errors)
 Get main diagonal of covariance function (of size nUnknowns) More...
 
template<class U >
Bool getErrors (std::complex< U > *errors)
 
template<class U >
Bool getErrors (U &errors)
 
uInt nUnknowns () const
 Get the number of unknowns. More...
 
uInt nConstraints () const
 Get the number of constraints. More...
 
uInt getDeficiency () const
 Get the rank deficiency
Warning: Note that the number is returned assuming real values; For complex values it has to be halved
More...
 
Double getChi () const
 Get chi^2 (both are identical); the standard deviation (per observation) and the standard deviation per weight unit. More...
 
Double getChi2 () const
 
Double getSD () const
 
Double getWeightedSD () const
 
void debugIt (uInt &nun, uInt &np, uInt &ncon, uInt &ner, uInt &rank, Double *&nEq, Double *&known, Double *&constr, Double *&er, uInt *&piv, Double *&sEq, Double *&sol, Double &prec, Double &nonlin) const
 Debug: More...
 
Bool fromRecord (String &error, const RecordInterface &in)
 Create an LSQFit object from a record. More...
 
Bool toRecord (String &error, RecordInterface &out) const
 Create a record from an LSQFit object. More...
 
const Stringident () const
 Get identification of record. More...
 
void toAipsIO (AipsIO &) const
 Save or restore using AipsIO. More...
 
void fromAipsIO (AipsIO &)
 

Public Attributes

const Double COLLINEARITY
 Default collinearity test for SVD. More...
 

Protected Member Functions

virtual Bool fitIt (Vector< typename FunctionTraits< T >::BaseType > &sol, const Array< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > *const sigma, const Vector< Bool > *const mask=0)=0
 Generalised fitter. More...
 
void buildMatrix (const Array< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > *const sigma, const Vector< Bool > *const mask=0)
 Build the normal matrix. More...
 
void buildConstraint ()
 Build the constraint equations. More...
 
void fillSVDConstraints ()
 Get the SVD constraints. More...
 
Bool buildResidual (Vector< typename FunctionTraits< T >::BaseType > &y, const Array< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > *const sol, const Bool model=False)
 Calculate residuals. More...
 
FunctionTraits< T >::BaseType getVal_p (const Array< typename FunctionTraits< T >::BaseType > &x, uInt j, uInt i) const
 Function to get evaluated functional value. More...
 
void initfit_p (uInt parcnt)
 Initialise the fitter with number of solvable parameters. More...
 
uInt testInput_p (const Array< typename FunctionTraits< T >::BaseType > &x, const Vector< typename FunctionTraits< T >::BaseType > &y, const Vector< typename FunctionTraits< T >::BaseType > *const sigma)
 Return number of condition equations and check sizes x, y, sigma. More...
 
void resetFunction ()
 Reset all the input. More...
 
- Protected Member Functions inherited from casacore::LSQFit
Doublerowrt (uInt i) const
 Get pointer in rectangular array. More...
 
Doublerowru (uInt i) const
 
void init ()
 Initialise areas. More...
 
void clear ()
 Clear areas. More...
 
void deinit ()
 De-initialise area. More...
 
void solveIt ()
 Solve normal equations. More...
 
Bool solveItLoop (Double &fit, uInt &nRank, Bool doSVD=False)
 One non-linear LM loop. More...
 
void solveMR (uInt nin)
 Solve missing rank part. More...
 
Bool invertRect ()
 Invert rectangular matrix (i.e. More...
 
Double normSolution (const Double *sol) const
 Get the norm of the current solution vector. More...
 
Double normInfKnown (const Double *known) const
 Get the infinite norm of the known vector. More...
 
Bool mergeIt (const LSQFit &other, uInt nIndex, const uInt *nEqIndex)
 Merge sparse normal equations. More...
 
void save (Bool all=True)
 Save current status (or part) More...
 
void restore (Bool all=True)
 Restore current status. More...
 
void copy (const LSQFit &other, Bool all=True)
 Copy data. More...
 
void extendConstraints (uInt n)
 Extend the constraint equation area to the specify number of equations. More...
 
void createNCEQ ()
 Create the solution equation area nceq_p and fill it. More...
 
void getWorkSOL ()
 Get work areas for solutions, covariance. More...
 
void getWorkCOV ()
 

Protected Attributes

uInt aCount_ai
 Adjustable. More...
 
Bool svd_p
 SVD indicator. More...
 
Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > * ptr_derive_p
 Function to use in evaluating condition equation. More...
 
PtrBlock< Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > * > constrFun_p
 List of functions describing the possible constraint equations e.g. More...
 
PtrBlock< Vector< typename FunctionTraits< T >::BaseType > * > constrArg_p
 List of vectors describing the constraint equations' arguments. More...
 
PtrBlock< typename FunctionTraits< T >::BaseType * > constrVal_p
 List of values describing the constraint equations' value. More...
 
uInt pCount_p
 Number of available parameters. More...
 
uInt ndim_p
 Number of dimensions of input data. More...
 
Bool needInit_p
 No normal equations yet. More...
 
Bool solved_p
 Have solution. More...
 
Bool errors_p
 Have errors. More...
 
Bool ferrors_p
 
Bool asweight_p
 Interpret as weights rather than as sigma the given values. More...
 
uInt nr_p
 The rank of the solution. More...
 
Vector< typename FunctionTraits< T >::BaseType > condEq_p
 Condition equation parameters (for number of adjustable parameters) More...
 
Vector< typename FunctionTraits< T >::BaseType > fullEq_p
 Equation for all available parameters. More...
 
Vector< typename FunctionTraits< T >::ArgType > arg_p
 Contiguous argument areas. More...
 
Vector< typename FunctionTraits< T >::ArgType > carg_p
 
Vector< typename FunctionTraits< T >::BaseType > sol_p
 Local solution area. More...
 
Vector< typename FunctionTraits< T >::BaseType > fsol_p
 
Vector< typename FunctionTraits< T >::BaseType > err_p
 Local error area. More...
 
Vector< typename FunctionTraits< T >::BaseType > ferr_p
 
FunctionTraits< T >::DiffType valder_p
 Local value and derivatives. More...
 
Vector< Vector< typename LSQTraits< typename FunctionTraits< T >::BaseType >::base > > consvd_p
 Local SVD constraints. More...
 
- Protected Attributes inherited from casacore::LSQFit
uInt state_p
 Bits set to indicate state. More...
 
uInt nun_p
 Number of unknowns. More...
 
uInt ncon_p
 Number of constraints. More...
 
uInt n_p
 Matrix size (will be n_p = nun_p + ncon_p) More...
 
uInt r_p
 Rank of normal equations (normally n_p) More...
 
Double prec_p
 Collinearity precision. More...
 
Double startnon_p
 Levenberg start factor. More...
 
Double nonlin_p
 Levenberg current factor. More...
 
Double stepfactor_p
 Levenberg step factor. More...
 
Double epsval_p
 Test value for [incremental] solution in non-linear loop. More...
 
Double epsder_p
 Test value for known vector in non-linear loop. More...
 
Bool balanced_p
 Indicator for a well balanced normal equation. More...
 
uInt maxiter_p
 Maximum number of iterations for non-linear solution. More...
 
uInt niter_p
 Iteration count for non-linear solution. More...
 
ReadyCode ready_p
 Indicate the non-linear state. More...
 
uIntpiv_p
 Pivot table (n_p) More...
 
LSQMatrixnorm_p
 Normal equations (triangular nun_p * nun_p) More...
 
uInt nnc_p
 Current length nceq_p. More...
 
LSQMatrixnceq_p
 Normal combined with constraint equations for solutions (triangular nnc_p*nnc_p) More...
 
Doubleknown_p
 Known part equations (n_p) More...
 
Doubleerror_p
 Counts for errors (N_ErrorField) More...
 
Doubleconstr_p
 Constraint equation area (nun_p*ncon_p)) More...
 
Doublesol_p
 Solution area (n_p) More...
 
LSQFitnar_p
 Save area for non-linear case (size determined internally) More...
 
Doublelar_p
 Save area for non-symmetric (i.e. More...
 
Doublewsol_p
 Work areas for interim solutions and covariance. More...
 
Doublewcov_p
 

Private Member Functions

void setFunctionEx ()
 Set function properties. More...
 
Bool setConstraintEx (const uInt n, const Vector< typename FunctionTraits< T >::BaseType > &x, const typename FunctionTraits< T >::BaseType y)
 Set Constraint properties. More...
 

Additional Inherited Members

- Public Types inherited from casacore::LSQFit
enum  ReadyCode {
  NONREADY ,
  SOLINCREMENT ,
  DERIVLEVEL ,
  MAXITER ,
  NOREDUCTION ,
  SINGULAR ,
  N_ReadyCode
}
 State of the non-linear solution. More...
 
enum  ErrorField {
  NC ,
  SUMWEIGHT ,
  SUMLL ,
  CHI2 ,
  N_ErrorField
}
 Offset of fields in error_p data area. More...
 
- Static Public Attributes inherited from casacore::LSQFit
static Real REAL
 And values to use. More...
 
static Complex COMPLEX
 
static Separable SEPARABLE
 
static AsReal ASREAL
 
static Conjugate CONJUGATE
 
- Protected Types inherited from casacore::LSQFit
enum  StateBit {
  INVERTED ,
  TRIANGLE ,
  NONLIN ,
  N_StateBit
}
 Bits that can be set/referenced. More...
 
- Static Protected Member Functions inherited from casacore::LSQFit
static Double realMC (const std::complex< Double > &x, const std::complex< Double > &y)
 Calculate the real or imag part of x*conj(y) More...
 
static Double imagMC (const std::complex< Double > &x, const std::complex< Double > &y)
 
static Float realMC (const std::complex< Float > &x, const std::complex< Float > &y)
 
static Float imagMC (const std::complex< Float > &x, const std::complex< Float > &y)
 
- Static Protected Attributes inherited from casacore::LSQFit
static const String recid
 Record field names. More...
 
static const String state
 
static const String nun
 
static const String ncon
 
static const String prec
 
static const String startnon
 
static const String nonlin
 
static const String rank
 
static const String nnc
 
static const String piv
 
static const String constr
 
static const String known
 
static const String errors
 
static const String sol
 
static const String lar
 
static const String wsol
 
static const String wcov
 
static const String nceq
 
static const String nar
 

Detailed Description

template<class T>
class casacore::GenericL2Fit< T >

Generic base class for least-squares fit.

Review Status

Reviewed By:
wbrouw
Date Reviewed:
2004/06/14
Test programs:
tLinearFitSVD

Prerequisite

Etymology

A set of data point is fit with some functional equation. The class acts as a generic base class for L2 type fits.

Synopsis

NOTE: Constraints added. Documentation out of date at moment, check the tLinearFitSVD and tNonLinearFitLM programs for examples.

The class acts as a base class for L2-type (least-squares) fitting. Actual classes (se e.g. LinearFit and NonLinearFit.

The following is a brief summary of the linear least-squares fit problem. See module header, Fitting, for a more complete description.

Given a set of N data points (measurements), (x(i), y(i)) i = 0,...,N-1, along with a set of standard deviations, sigma(i), for the data points, and M specified functions, f(j)(x) j = 0,...,M-1, we form a linear combination of the functions:

z(i) = a(0)f(0)(x(i)) + a(1)f(1)(x(i)) +... + a(M-1)f(M-1)(x(i)),

where a(j) j = 0,...,M-1 are a set of parameters to be determined. The linear least-squares fit tries to minimize

chi-square = [(y(0)-z(0))/sigma(0)]^2 + [(y(1)-z(1))/sigma(1)]^2 +..\.
+ [(y(N-1)-z(N-1))/sigma(N-1)]^2.
size_t N
Axis number.
Definition: ArrayAccessor.h:54
TableExprNode square(const TableExprNode &node)
Definition: ExprNode.h:1346

by adjusting {a(j)} in the equation.

For complex numbers, [(y(i)-z(i))/sigma(i)]^2 in chi-square is replaced by [(y(i)-z(i))/sigma(i)]*conjugate([(y(i)-z(i))/sigma(i)])

For multidimensional functions, x(i) is a vector, and

f(j)(x(i)) = f(j)(x(i,0), x(i,1), x(i,2),...)


Normally, it is necessary that N > M for the solutions to be valid, since there must be more data points than model parameters to be solved.

If the measurement errors (standard deviation sigma) are not known at all, they can all be set to one initially. In this case, we assume all measurements have the same standard deviation, after minimizing chi-square, we recompute

sigma^2 = {(y(0)-z(0))^2 + (y(1)-z(1))^2 +..\.
+ (y(N-1)-z(N-1))^2}/(N-M) = chi-square/(N-M).


A statistic weight can also be assigned to each measurement if the standard deviation is not available. sigma can be calculated from

sigma = 1/ sqrt(weight)
LatticeExprNode sqrt(const LatticeExprNode &expr)

Alternatively a 'weight' switch can be set with asWeight(). For best arithmetic performance, weight should be normalized to a maximum value of one. Having a large weight value can sometimes lead to overflow problems.

The function to be fitted to the data can be given as an instance of the Function class. One can also form a sum of functions using the CompoundFunction.

For small datasets the usage of the calls is:

Note that the fitter is reusable. An example is given in the following.

The solution of a fit always produces the total number of parameters given to the fitter. I.e. including any parameters that were fixed. In the latter case the solution returned will be the fixed value.

Template Type Argument Requirements (T)

If there are a large number of unknowns or a large number of data points machine memory limits (or timing reasons) may not allow a complete in-core fitting to be performed. In this case one can incrementally build the normal equation (see buildNormalMatrix()).

The normal operation of the class tests for real inversion problems only. If tests are needed for almost collinear columns in the solution matrix, the collinearity can be set as the square of the sine of the minimum angle allowed.

Singular Value Decomposition is supported by the asSVD() (which will also set the default collinearity to 1e-8).

Other information (see a.o. LSQFit) can be set and obtained as well.

Motivation

The creation of this class was driven by the need to write code to perform baseline fitting or continuum subtraction.

Example

In the following a polynomial is fitted through the first 20 prime numbers. The data is given in the x vector (1 to 20) and in the primesTable (2, 3,..., 71) (see tLinearFitSVD test program). In the following all four methods to calculate a polynomial through the data is used

// The list of coordinate x-values
Vector<Double> x(nPrimes);
indgen(x, 1.0); // 1, 2,..\.
Vector<Double> primesTable(nPrimes);
for (uInt i=1; i < nPrimes; i++) {
primesTable(i) =
Primes::nextLargerPrimeThan(Int(primesTable(i-1)+0.01));
}
Vector<Double> sigma(nPrimes);
sigma = 1.0;
// The fitter
LinearFit<Double> fitter;
// Linear combination of functions describing 1 + x + x*x
combination.setCoefficient(0, 1.0); // 1
combination.setCoefficient(1, 1.0); // x
combination.setCoefficient(2, 1.0); // x^2
// Get the solution
fitter.setFunction(combination);
Vector<Double> solution = fitter.fit(x, primesTable, sigma);
// Try with a function with automatic derivatives (note that default
// polynomial has zero first guess)
LinearFit<AutoDiffA<Double> > fitad;
Polynomial<AutoDiffA<Double> > sqre(2);
fitad.setFunction(sqre);
solution = fitad.fit(x, primesTable, sigma);
static uInt nextLargerPrimeThan(uInt number)
This function finds the next largest prime than number, returns that value and stores it in the table...
void indgen(TableVector< T > &tv, T start, T inc)
Definition: TabVecMath.h:400
unsigned int uInt
Definition: aipstype.h:51
int Int
Definition: aipstype.h:50

In the test program examples are given on how to get the other information, and other examples.

Definition at line 213 of file GenericL2Fit.h.

Constructor & Destructor Documentation

◆ GenericL2Fit() [1/2]

template<class T >
casacore::GenericL2Fit< T >::GenericL2Fit ( )

Create a fitter: the normal way to generate a fitter object.

Necessary data will be deduced from the Functional provided with setFunction()

◆ GenericL2Fit() [2/2]

template<class T >
casacore::GenericL2Fit< T >::GenericL2Fit ( const GenericL2Fit< T > &  other)

Copy constructor (deep copy)

◆ ~GenericL2Fit()

template<class T >
virtual casacore::GenericL2Fit< T >::~GenericL2Fit ( )
virtual

Destructor.

Member Function Documentation

◆ addConstraint() [1/3]

template<class T >
Bool casacore::GenericL2Fit< T >::addConstraint ( const Function< typename FunctionTraits< T >::DiffType, typename FunctionTraits< T >::DiffType > &  function,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits< T >::BaseType(0) 
)

◆ addConstraint() [2/3]

template<class T >
Bool casacore::GenericL2Fit< T >::addConstraint ( const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits< T >::BaseType(0))

◆ addConstraint() [3/3]

template<class T >
Bool casacore::GenericL2Fit< T >::addConstraint ( const Vector< typename FunctionTraits< T >::BaseType > &  x,
const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits< T >::BaseType(0) 
)

◆ asSVD()

template<class T >
void casacore::GenericL2Fit< T >::asSVD ( const Bool  svd)

Set the use of SVD or not (default).

When set the default collinearity is set as well.

◆ asWeight()

template<class T >
void casacore::GenericL2Fit< T >::asWeight ( const Bool  aswgt)
inline

Set sigma values to be interpreted as weight (i.e.

1/sigma/sigma). A value of zero or -1 will be skipped. The switch will stay in effect until set False again explicitly. Default is False.

Definition at line 288 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::asweight_p.

◆ buildConstraint()

template<class T >
void casacore::GenericL2Fit< T >::buildConstraint ( )
protected

Build the constraint equations.

◆ buildMatrix()

template<class T >
void casacore::GenericL2Fit< T >::buildMatrix ( const Array< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > *const  sigma,
const Vector< Bool > *const  mask = 0 
)
protected

Build the normal matrix.

◆ buildNormalMatrix() [1/4]

template<class T >
void casacore::GenericL2Fit< T >::buildNormalMatrix ( const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< Bool > *const  mask = 0 
)

◆ buildNormalMatrix() [2/4]

template<class T >
void casacore::GenericL2Fit< T >::buildNormalMatrix ( const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ buildNormalMatrix() [3/4]

template<class T >
void casacore::GenericL2Fit< T >::buildNormalMatrix ( const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< Bool > *const  mask = 0 
)

◆ buildNormalMatrix() [4/4]

template<class T >
void casacore::GenericL2Fit< T >::buildNormalMatrix ( const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

Generate the normal equations by one or more calls to the buildNormalMatrix(), before calling a fit() without arguments.

The arguments are the same as for the fit(arguments) function. A False is returned if the Array sizes are unmatched.

◆ buildResidual()

template<class T >
Bool casacore::GenericL2Fit< T >::buildResidual ( Vector< typename FunctionTraits< T >::BaseType > &  y,
const Array< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > *const  sol,
const Bool  model = False 
)
protected

Calculate residuals.

◆ chiSquare()

template<class T >
Double casacore::GenericL2Fit< T >::chiSquare ( ) const
inline

Obtain the chi squared.

It has already been calculated during the fitting process.

Definition at line 388 of file GenericL2Fit.h.

References casacore::LSQFit::getChi().

◆ compuCovariance() [1/2]

template<class T >
Matrix<Double> casacore::GenericL2Fit< T >::compuCovariance ( )

Get covariance matrix.

◆ compuCovariance() [2/2]

template<class T >
void casacore::GenericL2Fit< T >::compuCovariance ( Matrix< Double > &  cov)

◆ errors() [1/2]

template<class T >
const Vector<typename FunctionTraits<T>::BaseType>& casacore::GenericL2Fit< T >::errors ( ) const

Get the errors on the solved values.

Thrown Exceptions

  • AipsError if none present (or Bool returned)

◆ errors() [2/2]

template<class T >
Bool casacore::GenericL2Fit< T >::errors ( Vector< typename FunctionTraits< T >::BaseType > &  err) const

◆ fillSVDConstraints()

template<class T >
void casacore::GenericL2Fit< T >::fillSVDConstraints ( )
protected

Get the SVD constraints.

◆ fit() [1/10]

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fit ( const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [2/10]

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fit ( const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [3/10]

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fit ( const Vector< Bool > *const  mask = 0)

◆ fit() [4/10]

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fit ( const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [5/10]

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fit ( const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

Fit the function to the data.

If no sigma provided, all ones assumed. In the case of no x,y,sigma the fitting equations are supposed to be generated by previous calls to buildNormalMatrix. Note that the ones with a scalar sigma will assume sigma=1 (overloading problem). The mask assumes that if present, points with False will be skipped.

Thrown Exceptions

  • AipsError if unmatched array sizes given
  • AipsError if equations cannot be inverted (not in SVD case and in the case of the Bool versions.)

◆ fit() [6/10]

template<class T >
Bool casacore::GenericL2Fit< T >::fit ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const typename FunctionTraits< T >::BaseType &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [7/10]

template<class T >
Bool casacore::GenericL2Fit< T >::fit ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Matrix< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [8/10]

template<class T >
Bool casacore::GenericL2Fit< T >::fit ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [9/10]

template<class T >
Bool casacore::GenericL2Fit< T >::fit ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const typename FunctionTraits< T >::BaseType &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ fit() [10/10]

template<class T >
Bool casacore::GenericL2Fit< T >::fit ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > &  sigma,
const Vector< Bool > *const  mask = 0 
)

◆ fitIt()

template<class T >
virtual Bool casacore::GenericL2Fit< T >::fitIt ( Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Array< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > *const  sigma,
const Vector< Bool > *const  mask = 0 
)
protectedpure virtual

◆ fittedFunction() [1/2]

template<class T >
Function<typename FunctionTraits<T>::DiffType, typename FunctionTraits<T>::DiffType>* casacore::GenericL2Fit< T >::fittedFunction ( )
inline

Return a pointer to the function being fitted.

Should never delete this pointer.

Definition at line 298 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::ptr_derive_p.

◆ fittedFunction() [2/2]

template<class T >
const Function<typename FunctionTraits<T>::DiffType, typename FunctionTraits<T>::DiffType>* casacore::GenericL2Fit< T >::fittedFunction ( ) const
inline

Definition at line 302 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::ptr_derive_p.

◆ fittedNumber()

template<class T >
uInt casacore::GenericL2Fit< T >::fittedNumber ( ) const
inline

Return the number of fitted parameters.

Definition at line 305 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::aCount_ai.

◆ getConstraint()

template<class T >
Function<typename FunctionTraits<T>::DiffType, typename FunctionTraits<T>::DiffType>* casacore::GenericL2Fit< T >::getConstraint ( const uInt  n)
inline

Definition at line 313 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::constrFun_p.

◆ getRank()

template<class T >
uInt casacore::GenericL2Fit< T >::getRank ( ) const
inline

Get the rank of the solution (or zero of no fit() done yet).

A valid solution will have the same rank as the number of unknowns (or double that number in the complex case). For SVD solutions the rank could be less.

Definition at line 454 of file GenericL2Fit.h.

References casacore::LSQFit::getDeficiency(), casacore::LSQFit::nUnknowns(), and casacore::GenericL2Fit< T >::solved_p.

◆ getSVDConstraint()

template<class T >
Vector<typename LSQTraits<typename FunctionTraits<T>:: BaseType>::base> casacore::GenericL2Fit< T >::getSVDConstraint ( uInt  n)

Return the nth constraint equation derived from SVD Note that the number present will be given by getDeficiency()

◆ getVal_p()

template<class T >
FunctionTraits<T>::BaseType casacore::GenericL2Fit< T >::getVal_p ( const Array< typename FunctionTraits< T >::BaseType > &  x,
uInt  j,
uInt  i 
) const
protected

Function to get evaluated functional value.

◆ initfit_p()

template<class T >
void casacore::GenericL2Fit< T >::initfit_p ( uInt  parcnt)
protected

Initialise the fitter with number of solvable parameters.

◆ NConstraints()

template<class T >
uInt casacore::GenericL2Fit< T >::NConstraints ( )
inline

Return the number of constraints, and pointers to constraint functions.

A 0-pointer will be returned if no such constraint present. This pointer should never be destroyed.

Definition at line 311 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::constrFun_p.

◆ operator=()

template<class T >
GenericL2Fit& casacore::GenericL2Fit< T >::operator= ( const GenericL2Fit< T > &  other)

Assignment (deep copy)

◆ resetFunction()

template<class T >
void casacore::GenericL2Fit< T >::resetFunction ( )
protected

Reset all the input.

Referenced by casacore::GenericL2Fit< T >::setFunction().

◆ residual() [1/2]

template<class T >
Bool casacore::GenericL2Fit< T >::residual ( Vector< typename FunctionTraits< T >::BaseType > &  y,
const Array< typename FunctionTraits< T >::BaseType > &  x,
const Bool  model = False 
)

◆ residual() [2/2]

template<class T >
Bool casacore::GenericL2Fit< T >::residual ( Vector< typename FunctionTraits< T >::BaseType > &  y,
const Array< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  sol,
const Bool  model = False 
)

Return the residual after a fit in y.

x can be a vector (if 1D function) or a matrix (ND functional), as in the fit() methods. If sol is given, it is the solution derived from a fit and its value will be used; otherwise only the parameters in the fitted functional will be used. If model is given as True, the model, rather the residual <data>-<model> will be returned in y. False is returned if residuals cannot be calculated.

Thrown Exceptions

  • Aipserror if illegal array sizes

◆ setCollinearity()

template<class T >
void casacore::GenericL2Fit< T >::setCollinearity ( const Double  cln)

Set the collinearity factor as the square of the sine of the minimum angle allowed between input vectors (default zero for non-SVD, 1e-8 for SVD)

◆ setConstraint() [1/3]

template<class T >
template<class U >
Bool casacore::GenericL2Fit< T >::setConstraint ( const uInt  n,
const Function< U, U > &  function,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits<T>::BaseType(0) 
)
inline

Set the possible constraint functions.

The addConstraint will add one; the setConstraint will [re-]set the nth constraint. If unsucessful, False returned.
Constraint functional can only be set when the function to be fitted has been set. It should have the same number of parameters as the function to be fitted. The x should have the correct dimension.

Definition at line 251 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::constrFun_p, casacore::False, casacore::GenericL2Fit< T >::ptr_derive_p, and casacore::GenericL2Fit< T >::setConstraintEx().

◆ setConstraint() [2/3]

template<class T >
Bool casacore::GenericL2Fit< T >::setConstraint ( const uInt  n,
const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits< T >::BaseType(0) 
)

◆ setConstraint() [3/3]

template<class T >
Bool casacore::GenericL2Fit< T >::setConstraint ( const uInt  n,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const typename FunctionTraits< T >::BaseType  y = typename FunctionTraits< T >::BaseType(0) 
)

◆ setConstraintEx()

template<class T >
Bool casacore::GenericL2Fit< T >::setConstraintEx ( const uInt  n,
const Vector< typename FunctionTraits< T >::BaseType > &  x,
const typename FunctionTraits< T >::BaseType  y 
)
private

Set Constraint properties.

Referenced by casacore::GenericL2Fit< T >::setConstraint().

◆ setFunction()

template<class T >
template<class U >
void casacore::GenericL2Fit< T >::setFunction ( const Function< U, U > &  function)
inline

Sets the function to be fitted.

Upon entry, the argument function object is cloned. The cloned copy is used in the later fitting process. A valid function should be an instance of the Function class, so that derivatives with respect to the adjustable parameters can be calculated. The current values of the "available" parameters of the function are taken as the initial guess for the non-linear fitting.

Definition at line 240 of file GenericL2Fit.h.

References casacore::GenericL2Fit< T >::ptr_derive_p, casacore::GenericL2Fit< T >::resetFunction(), and casacore::GenericL2Fit< T >::setFunctionEx().

◆ setFunctionEx()

template<class T >
void casacore::GenericL2Fit< T >::setFunctionEx ( )
private

Set function properties.

Referenced by casacore::GenericL2Fit< T >::setFunction().

◆ setMaskedParameterValues()

template<class T >
void casacore::GenericL2Fit< T >::setMaskedParameterValues ( const Vector< typename FunctionTraits< T >::BaseType > &  parms)

◆ setParameterValues()

template<class T >
void casacore::GenericL2Fit< T >::setParameterValues ( const Vector< typename FunctionTraits< T >::BaseType > &  parms)

Set the parameter values.

The input is a vector of parameters; all or only the masked ones' values will be set, using the input values

◆ testInput_p()

template<class T >
uInt casacore::GenericL2Fit< T >::testInput_p ( const Array< typename FunctionTraits< T >::BaseType > &  x,
const Vector< typename FunctionTraits< T >::BaseType > &  y,
const Vector< typename FunctionTraits< T >::BaseType > *const  sigma 
)
protected

Return number of condition equations and check sizes x, y, sigma.

Thrown Exceptions

  • Aipserror if size inconsistencies

Member Data Documentation

◆ aCount_ai

template<class T >
uInt casacore::GenericL2Fit< T >::aCount_ai
protected

Adjustable.

Definition at line 460 of file GenericL2Fit.h.

Referenced by casacore::GenericL2Fit< T >::fittedNumber().

◆ arg_p

template<class T >
Vector<typename FunctionTraits<T>::ArgType> casacore::GenericL2Fit< T >::arg_p
mutableprotected

Contiguous argument areas.

Definition at line 500 of file GenericL2Fit.h.

◆ asweight_p

template<class T >
Bool casacore::GenericL2Fit< T >::asweight_p
protected

Interpret as weights rather than as sigma the given values.

Definition at line 491 of file GenericL2Fit.h.

Referenced by casacore::GenericL2Fit< T >::asWeight().

◆ carg_p

template<class T >
Vector<typename FunctionTraits<T>::ArgType> casacore::GenericL2Fit< T >::carg_p
mutableprotected

Definition at line 501 of file GenericL2Fit.h.

◆ COLLINEARITY

template<class T >
const Double casacore::GenericL2Fit< T >::COLLINEARITY

Default collinearity test for SVD.

Definition at line 217 of file GenericL2Fit.h.

◆ condEq_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::condEq_p
mutableprotected

Condition equation parameters (for number of adjustable parameters)

Definition at line 495 of file GenericL2Fit.h.

◆ constrArg_p

template<class T >
PtrBlock<Vector<typename FunctionTraits<T>::BaseType>*> casacore::GenericL2Fit< T >::constrArg_p
protected

List of vectors describing the constraint equations' arguments.

Definition at line 475 of file GenericL2Fit.h.

◆ constrFun_p

template<class T >
PtrBlock<Function<typename FunctionTraits<T>::DiffType, typename FunctionTraits<T>::DiffType>*> casacore::GenericL2Fit< T >::constrFun_p
protected

List of functions describing the possible constraint equations e.g.

The sum of 3 angles w`could be described by a HyperPlane(3) function with [1,1,1] as parameters; giving [1,1,1] as argument vector and 3.1415 as value.

Definition at line 473 of file GenericL2Fit.h.

Referenced by casacore::GenericL2Fit< T >::getConstraint(), casacore::GenericL2Fit< T >::NConstraints(), and casacore::GenericL2Fit< T >::setConstraint().

◆ constrVal_p

template<class T >
PtrBlock<typename FunctionTraits<T>::BaseType *> casacore::GenericL2Fit< T >::constrVal_p
protected

List of values describing the constraint equations' value.

Definition at line 477 of file GenericL2Fit.h.

◆ consvd_p

template<class T >
Vector<Vector<typename LSQTraits<typename FunctionTraits<T>:: BaseType>::base> > casacore::GenericL2Fit< T >::consvd_p
mutableprotected

Local SVD constraints.

Definition at line 517 of file GenericL2Fit.h.

◆ err_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::err_p
mutableprotected

Local error area.

Definition at line 510 of file GenericL2Fit.h.

◆ errors_p

template<class T >
Bool casacore::GenericL2Fit< T >::errors_p
protected

Have errors.

Definition at line 488 of file GenericL2Fit.h.

◆ ferr_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::ferr_p
mutableprotected

Definition at line 511 of file GenericL2Fit.h.

◆ ferrors_p

template<class T >
Bool casacore::GenericL2Fit< T >::ferrors_p
mutableprotected

Definition at line 489 of file GenericL2Fit.h.

◆ fsol_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fsol_p
mutableprotected

Definition at line 506 of file GenericL2Fit.h.

◆ fullEq_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::fullEq_p
mutableprotected

Equation for all available parameters.

Definition at line 497 of file GenericL2Fit.h.

◆ ndim_p

template<class T >
uInt casacore::GenericL2Fit< T >::ndim_p
protected

Number of dimensions of input data.

Definition at line 482 of file GenericL2Fit.h.

◆ needInit_p

template<class T >
Bool casacore::GenericL2Fit< T >::needInit_p
protected

No normal equations yet.

Definition at line 484 of file GenericL2Fit.h.

◆ nr_p

template<class T >
uInt casacore::GenericL2Fit< T >::nr_p
protected

The rank of the solution.

Definition at line 493 of file GenericL2Fit.h.

◆ pCount_p

template<class T >
uInt casacore::GenericL2Fit< T >::pCount_p
protected

Number of available parameters.

Definition at line 480 of file GenericL2Fit.h.

◆ ptr_derive_p

template<class T >
Function<typename FunctionTraits<T>::DiffType, typename FunctionTraits<T>::DiffType>* casacore::GenericL2Fit< T >::ptr_derive_p
protected

◆ sol_p

template<class T >
Vector<typename FunctionTraits<T>::BaseType> casacore::GenericL2Fit< T >::sol_p
mutableprotected

Local solution area.

Definition at line 505 of file GenericL2Fit.h.

◆ solved_p

template<class T >
Bool casacore::GenericL2Fit< T >::solved_p
protected

Have solution.

Definition at line 486 of file GenericL2Fit.h.

Referenced by casacore::GenericL2Fit< T >::getRank().

◆ svd_p

template<class T >
Bool casacore::GenericL2Fit< T >::svd_p
protected

SVD indicator.

Definition at line 462 of file GenericL2Fit.h.

◆ valder_p

template<class T >
FunctionTraits<T>::DiffType casacore::GenericL2Fit< T >::valder_p
mutableprotected

Local value and derivatives.

Definition at line 514 of file GenericL2Fit.h.


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