IGLib  1.7.2
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Test.OrthogonalPolynomialsTest Class Reference

Public Member Functions

void HermiteSpecialCases ()
 
void HermiteReflection ()
 
void HermiteRecurrence ()
 
void HermiteAddition ()
 
void HermiteSum ()
 
void HermiteOrthonormality ()
 
void HermiteInvalidOrder ()
 
void LaguerreSpecialCases ()
 
void LaguerreRecurrence ()
 
void LaguerreInequality ()
 
void LaguerreInvalidOrder ()
 
void LaguerreInvalidArgument ()
 
void LaguerreOrthonormality ()
 
void AssociatedLaguerreSpecialCases ()
 
void AssociatedLaguerreAlphaRecurrence ()
 
void AssociatedLaguerreSum ()
 
void AssociatedLaguerreOrthonormality ()
 
void ChebyshevSpecialCases ()
 
void ChebyshevInequality ()
 
void ChebyshevRecurrence ()
 
void ChebyshevReflection ()
 
void ChebyshevDoubling ()
 
void ChebyshevMultiplication ()
 
void ChebyshevCosine ()
 
void ChebyshevInvalidArgument ()
 
void LegendreSpecialCases ()
 
void LegendreInequality ()
 
void LegendreTuronInequality ()
 
void LegendreRecurrence ()
 
void LegendreReflection ()
 
void LegendreNegativeOrder ()
 
void LegendreInvalidArgument ()
 
void LegendreOrthonormality ()
 
void SphericalHarmonicSpecialCases ()
 
void SphericalHarmonicLegendre ()
 
void SphericalHarmonicConjugation ()
 
void SphericalHarmonicNormalization ()
 
void SphericalHarmonicAddition ()
 
void SphericalHarmonicLowOrders ()
 
void ZernikeSpecialCases ()
 
void ZernikeOrthonormality ()
 
void ZernikeBessel ()
 
void AssociatedLegendreLowOrders ()
 
void AssociatedLegendreAgreement ()
 
void AssociatedLegendreRecurrenceL ()
 
void AssociatedLegendreRecurrenceM ()
 
void AssociatedLegendreOrthonormalityL ()
 

Properties

TestContext TestContext [get, set]
 

Private Member Functions

double[] GenerateRandomAngles (double lower, double upper, int n)
 

Private Attributes

TestContext testContextInstance
 
int[] orders = new int[] { 3, 4, 33, 44, 333, 444 }
 
double[] aArguments = new double[] { 0.00011, 0.11, 1.1, 11.1, 111.1, 1111.1 }
 
double[] bArguments = new double[] { 0.00001, 0.02, 0.34, 0.56, 0.78, 0.99999 }
 

Member Function Documentation

void Test.OrthogonalPolynomialsTest.HermiteSpecialCases ( )
inline

References Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), and Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.HermiteReflection ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.HermiteRecurrence ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.HermiteAddition ( )
inline

References Meta.Numerics.Functions.AdvancedIntegerMath.BinomialCoefficient(), and Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.HermiteSum ( )
inline

References Meta.Numerics.Functions.AdvancedIntegerMath.BinomialCoefficient(), Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), and Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.HermiteOrthonormality ( )
inline

References Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.OrthogonalPolynomialsTest.HermiteInvalidOrder ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.HermiteH().

void Test.OrthogonalPolynomialsTest.LaguerreSpecialCases ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.LaguerreRecurrence ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.LaguerreInequality ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.LaguerreInvalidOrder ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.LaguerreInvalidArgument ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.LaguerreOrthonormality ( )
inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.AssociatedLaguerreSpecialCases ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.AssociatedLaguerreAlphaRecurrence ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.AssociatedLaguerreSum ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL().

void Test.OrthogonalPolynomialsTest.AssociatedLaguerreOrthonormality ( )
inline

References Meta.Numerics.Analysis.EvaluationSettings.AbsolutePrecision, Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.Gamma(), Meta.Numerics.Analysis.FunctionMath.Integrate(), Meta.Numerics.Functions.OrthogonalPolynomials.LaguerreL(), and Meta.Numerics.Analysis.EvaluationSettings.RelativePrecision.

void Test.OrthogonalPolynomialsTest.ChebyshevSpecialCases ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevInequality ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevRecurrence ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevReflection ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevDoubling ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevMultiplication ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.ChebyshevCosine ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT(), and Test.OrthogonalPolynomialsTest.GenerateRandomAngles().

void Test.OrthogonalPolynomialsTest.ChebyshevInvalidArgument ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ChebyshevT().

void Test.OrthogonalPolynomialsTest.LegendreSpecialCases ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreInequality ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreTuronInequality ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP(), and Meta.Numerics.MoreMath.Pow().

void Test.OrthogonalPolynomialsTest.LegendreRecurrence ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreReflection ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreNegativeOrder ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreInvalidArgument ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.LegendreOrthonormality ( )
inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

double [] Test.OrthogonalPolynomialsTest.GenerateRandomAngles ( double  lower,
double  upper,
int  n 
)
inlineprivate

Referenced by Test.OrthogonalPolynomialsTest.ChebyshevCosine(), Test.OrthogonalPolynomialsTest.SphericalHarmonicAddition(), Test.OrthogonalPolynomialsTest.SphericalHarmonicConjugation(), Test.OrthogonalPolynomialsTest.SphericalHarmonicLegendre(), Test.OrthogonalPolynomialsTest.SphericalHarmonicLowOrders(), Test.OrthogonalPolynomialsTest.SphericalHarmonicNormalization(), and Test.OrthogonalPolynomialsTest.SphericalHarmonicSpecialCases().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicSpecialCases ( )
inline

References Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicLegendre ( )
inline

References Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP(), and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicConjugation ( )
inline

References Meta.Numerics.Complex.Conjugate, Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicNormalization ( )
inline

References Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), Meta.Numerics.Complex.Im, Meta.Numerics.Complex.Re, and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicAddition ( )
inline

References Meta.Numerics.Complex.Conjugate, Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP(), and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.SphericalHarmonicLowOrders ( )
inline

References Test.OrthogonalPolynomialsTest.GenerateRandomAngles(), and Meta.Numerics.Functions.AdvancedMath.SphericalHarmonic().

void Test.OrthogonalPolynomialsTest.ZernikeSpecialCases ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.ZernikeR().

void Test.OrthogonalPolynomialsTest.ZernikeOrthonormality ( )
inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.OrthogonalPolynomials.ZernikeR().

void Test.OrthogonalPolynomialsTest.ZernikeBessel ( )
inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.OrthogonalPolynomials.ZernikeR().

void Test.OrthogonalPolynomialsTest.AssociatedLegendreLowOrders ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.AssociatedLegendreAgreement ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.AssociatedLegendreRecurrenceL ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.AssociatedLegendreRecurrenceM ( )
inline

References Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP().

void Test.OrthogonalPolynomialsTest.AssociatedLegendreOrthonormalityL ( )
inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), Meta.Numerics.Functions.OrthogonalPolynomials.LegendreP(), and Meta.Numerics.Functions.AdvancedIntegerMath.LogFactorial().

Member Data Documentation

TestContext Test.OrthogonalPolynomialsTest.testContextInstance
private
int [] Test.OrthogonalPolynomialsTest.orders = new int[] { 3, 4, 33, 44, 333, 444 }
private
double [] Test.OrthogonalPolynomialsTest.aArguments = new double[] { 0.00011, 0.11, 1.1, 11.1, 111.1, 1111.1 }
private
double [] Test.OrthogonalPolynomialsTest.bArguments = new double[] { 0.00001, 0.02, 0.34, 0.56, 0.78, 0.99999 }
private

Property Documentation

TestContext Test.OrthogonalPolynomialsTest.TestContext
getset
The documentation for this class was generated from the following file: