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typedef std::pair< quad_float, quad_float > | MeasurePoint |
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| template<typename Numeric1 , typename Numeric2 > |
| | ContOrthoPoly1DQ (unsigned maxDegree, const std::vector< std::pair< Numeric1, Numeric2 > > &measure, OrthoPolyMethod m=OPOLY_STIELTJES, bool shiftMeasureCoords=true) |
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| template<typename Numeric > |
| | ContOrthoPoly1DQ (unsigned maxDegree, const std::vector< Numeric > &coords, OrthoPolyMethod m=OPOLY_STIELTJES, bool shiftMeasureCoords=true) |
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| template<typename Numeric1 , typename Numeric2 , class OrthoPoly > |
| | ContOrthoPoly1DQ (unsigned maxDegree, const std::vector< std::pair< Numeric1, Numeric2 > > &measure, const OrthoPoly &ops, bool shiftMeasureCoords=false) |
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| template<typename Numeric , class OrthoPoly > |
| | ContOrthoPoly1DQ (unsigned maxDegree, const std::vector< Numeric > &coords, const OrthoPoly &ops, bool shiftMeasureCoords=false) |
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| ContOrthoPoly1DQ * | clone () const |
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| unsigned | maxDegree () const |
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bool | areAllWeightsEqual () const |
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quad_float | measureShift () const |
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quad_float | meanCoordinate () const |
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quad_float | location () const |
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quad_float | scale () const |
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| quad_float | effectiveSampleSize () const |
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| quad_float | poly (unsigned deg, quad_float x) const |
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| std::pair< quad_float, quad_float > | polyPair (unsigned deg1, unsigned deg2, quad_float x) const |
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| template<typename Numeric > |
| void | allPolys (const quad_float x, const unsigned maxdeg, Numeric *polyValues) const |
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| void | allpoly (const long double x, long double *values, const unsigned maxdeg) const |
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| quad_float | empiricalKroneckerDelta (unsigned deg1, unsigned deg2) const |
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| Matrix< quad_float > | empiricalKroneckerMatrix (unsigned maxdeg) const |
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◆ ContOrthoPoly1DQ() [1/4]
template<typename Numeric1 , typename Numeric2 >
| npstat::ContOrthoPoly1DQ::ContOrthoPoly1DQ |
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unsigned |
maxDegree, |
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const std::vector< std::pair< Numeric1, Numeric2 > > & |
measure, |
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OrthoPolyMethod |
m = OPOLY_STIELTJES, |
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bool |
shiftMeasureCoords = true |
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Main constructor, with obvious arguments. The first element of the measure pair is the coordinate and the second element is the weight (all weights must be non-negative). Internally, the measure will be sorted in the order of increasing weight and the measure coordinates will normally be shifted so that their weighted mean is at 0.
◆ ContOrthoPoly1DQ() [2/4]
template<typename Numeric >
| npstat::ContOrthoPoly1DQ::ContOrthoPoly1DQ |
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unsigned |
maxDegree, |
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const std::vector< Numeric > & |
coords, |
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OrthoPolyMethod |
m = OPOLY_STIELTJES, |
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bool |
shiftMeasureCoords = true |
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Constructor which assumes that all weights are 1.0
◆ ContOrthoPoly1DQ() [3/4]
template<typename Numeric1 , typename Numeric2 , class OrthoPoly >
| npstat::ContOrthoPoly1DQ::ContOrthoPoly1DQ |
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unsigned |
maxDegree, |
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const std::vector< std::pair< Numeric1, Numeric2 > > & |
measure, |
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const OrthoPoly & |
ops, |
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bool |
shiftMeasureCoords = false |
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Constructor that uses the modified Chebyshev algorithm
◆ ContOrthoPoly1DQ() [4/4]
template<typename Numeric , class OrthoPoly >
| npstat::ContOrthoPoly1DQ::ContOrthoPoly1DQ |
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unsigned |
maxDegree, |
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const std::vector< Numeric > & |
coords, |
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const OrthoPoly & |
ops, |
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bool |
shiftMeasureCoords = false |
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Constructor that uses the modified Chebyshev algorithm and assumes that all weights are 1.0
◆ allpoly()
| void npstat::ContOrthoPoly1DQ::allpoly |
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const long double |
x, |
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long double * |
values, |
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const unsigned |
maxdeg |
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◆ allPolys()
template<typename Numeric >
| void npstat::ContOrthoPoly1DQ::allPolys |
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const quad_float |
x, |
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const unsigned |
maxdeg, |
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Numeric * |
polyValues |
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Return the values of all orthonormal polynomials up to some maximum degree. Size of the "polyValues" array should be at least maxdeg + 1.
◆ clone()
◆ effectiveSampleSize()
| quad_float npstat::ContOrthoPoly1DQ::effectiveSampleSize |
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const |
Kish's effective sample size for the measure
◆ empiricalKroneckerDelta()
| quad_float npstat::ContOrthoPoly1DQ::empiricalKroneckerDelta |
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unsigned |
deg1, |
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unsigned |
deg2 |
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This method is useful for testing the numerical precision of the orthonormalization procedure. It returns the scalar products between various polynomials.
◆ empiricalKroneckerMatrix()
| Matrix<quad_float> npstat::ContOrthoPoly1DQ::empiricalKroneckerMatrix |
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unsigned |
maxdeg | ) |
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A faster way to generate Kronecker deltas if the whole matrix of them is needed. The argument must not exceed the return value of the "maxDegree" function. The resulting matrix will be dimensioned (maxdeg + 1) x (maxdeg + 1).
◆ maxDegree()
| unsigned npstat::ContOrthoPoly1DQ::maxDegree |
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const |
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inline |
A simple inspector of object properties
◆ poly()
| quad_float npstat::ContOrthoPoly1DQ::poly |
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unsigned |
deg, |
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quad_float |
x |
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Return the value of one of the normalized polynomials
◆ polyPair()
| std::pair<quad_float,quad_float> npstat::ContOrthoPoly1DQ::polyPair |
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unsigned |
deg1, |
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unsigned |
deg2, |
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quad_float |
x |
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Return the values of two of the normalized polynomials
The documentation for this class was generated from the following file:
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1.9.1