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virtual ChebyshevOrthoPoly1st * | clone () const |
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long double | weight (const long double x) const |
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double | xmin () const |
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double | xmax () const |
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virtual std::pair< long double, long double > | monicRecurrenceCoeffs (const unsigned k) const |
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virtual std::pair< long double, long double > | recurrenceCoeffs (const unsigned k) const |
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virtual unsigned | maxDegree () const |
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Matrix< long double > | jacobiMatrix (unsigned n) const |
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long double | poly (unsigned deg, long double x) const |
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long double | monic (unsigned deg, long double x) const |
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std::pair< long double, long double > | twopoly (unsigned deg1, unsigned deg2, long double x) const |
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void | allpoly (long double x, long double *values, unsigned maxdeg) const |
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void | allmonic (long double x, long double *values, unsigned maxdeg) const |
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double | series (const double *coeffs, unsigned maxdeg, double x) const |
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double | integrateSeries (const double *coeffs, unsigned maxdeg) const |
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template<class Functor , class Quadrature > |
void | calculateCoeffs (const Functor &fcn, const Quadrature &quad, double *coeffs, unsigned maxdeg) const |
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template<class Numeric > |
void | sampleCoeffs (const Numeric *coords, unsigned long lenCoords, double *coeffs, unsigned maxdeg) const |
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template<class Numeric > |
void | sampleCoeffVars (const Numeric *coords, unsigned long lenCoords, const double *coeffs, unsigned maxdeg, double *variances) const |
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template<class Numeric > |
Matrix< double > | sampleCoeffCovariance (const Numeric *coords, unsigned long lenCoords, const double *coeffs, unsigned maxdeg) const |
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template<class Numeric > |
void | sampleCoeffs (const Numeric *coords, unsigned long lenCoords, Numeric location, Numeric scale, double *coeffs, unsigned maxdeg) const |
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template<class Numeric > |
void | sampleCoeffVars (const Numeric *coords, unsigned long lenCoords, Numeric location, Numeric scale, const double *coeffs, unsigned maxdeg, double *variances) const |
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template<class Numeric > |
Matrix< double > | sampleCoeffCovariance (const Numeric *coords, unsigned long lenCoords, Numeric location, Numeric scale, const double *coeffs, unsigned maxdeg) const |
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template<class Pair > |
void | weightedSampleCoeffs (const Pair *points, unsigned long numPoints, double *coeffs, unsigned maxdeg) const |
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template<class Pair > |
void | weightedSampleCoeffVars (const Pair *points, unsigned long nPoints, const double *coeffs, unsigned maxdeg, double *variances) const |
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template<class Pair > |
Matrix< double > | weightedSampleCoeffCovariance (const Pair *points, unsigned long nPoints, const double *coeffs, unsigned maxdeg) const |
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template<class Pair > |
void | weightedSampleCoeffs (const Pair *points, unsigned long numPoints, typename Pair::first_type location, typename Pair::first_type scale, double *coeffs, unsigned maxdeg) const |
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template<class Pair > |
void | weightedSampleCoeffVars (const Pair *points, unsigned long nPoints, typename Pair::first_type location, typename Pair::first_type scale, const double *coeffs, unsigned maxdeg, double *variances) const |
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template<class Pair > |
Matrix< double > | weightedSampleCoeffCovariance (const Pair *points, unsigned long nPoints, typename Pair::first_type location, typename Pair::first_type scale, const double *coeffs, unsigned maxdeg) const |
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template<class Quadrature > |
double | empiricalKroneckerDelta (const Quadrature &quad, unsigned deg1, unsigned deg2) const |
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Matrix< double > | empiricalKroneckerMatrix (const AbsIntervalQuadrature1D &quad, unsigned maxdeg) const |
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template<class Quadrature > |
double | jointAverage (const Quadrature &q, unsigned deg1, unsigned deg2, unsigned deg3, unsigned deg4) const |
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template<class Quadrature > |
double | jointAverage (const Quadrature &q, const unsigned *degrees, unsigned nDegrees, bool checkedForZeros=false) const |
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template<class Quadrature > |
double | directQuadrature (const Quadrature &q, unsigned deg1, unsigned deg2, unsigned deg3, unsigned deg4) const |
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template<class Quadrature > |
double | directQuadrature (const Quadrature &q, const unsigned *degrees, unsigned nDegrees, bool checkedForZeros=false) const |
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double | integratePoly (unsigned degree, unsigned power) const |
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double | jointIntegral (const unsigned *degrees, unsigned nDegrees) const |
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template<typename Numeric , typename Real > |
void | sampleAverages (const Numeric *coords, unsigned long lenCoords, Real *averages, unsigned maxdeg) const |
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template<class Pair , typename Real > |
void | weightedPointsAverages (const Pair *points, unsigned long numPoints, Real *averages, unsigned maxdeg) const |
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template<class Functor , typename Real > |
void | extWeightAverages (const Functor &extWeight, const AbsIntervalQuadrature1D &quad, Real *averages, unsigned maxdeg) const |
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template<class Numeric > |
Matrix< double > | sampleProductAverages (const Numeric *coords, unsigned long lenCoords, unsigned maxdeg) const |
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template<class Functor > |
Matrix< double > | extWeightProductAverages (const Functor &extWeight, const AbsIntervalQuadrature1D &quad, unsigned maxdeg) const |
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template<class Numeric > |
double | jointSampleAverage (const Numeric *coords, unsigned long lenCoords, const unsigned *degrees, unsigned lenDegrees) const |
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template<class Numeric > |
std::pair< double, double > | twoJointSampleAverages (const Numeric *coords, unsigned long lenCoords, const unsigned *degrees1, unsigned lenDegrees1, const unsigned *degrees2, unsigned lenDegrees2) const |
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CPP11_auto_ptr< StorablePolySeries1D > | makeStorablePolySeries (unsigned maxPolyDeg, const double *coeffs=0, unsigned maxdeg=0, double shift=0.0) const |
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long double | location () const |
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long double | scale () const |
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Orthonormal Chebyshev polynomials of the 1st kind