Test.AdvancedMathTest Class Reference

Public Member Functions
void	IntegerBesselSpecialCase ()
void	IntegerBesselNegativeOrder ()
void	IntegerBesselNegativeArgument ()
void	IntegerBesselRecurrence ()
void	IntegerBesselWronskian ()
void	BesselJ0Integral ()
void	BesselY0Integral ()
void	IntegerBesselJIntegral ()
void	BesselKapteynIntegral ()
void	BesselLipshitzIntegral ()
void	BesselWeberIntegral ()
void	IntegerBesselRealBesselAgreement ()
void	FullBesselRealBesselAgreement ()
void	FullBesselWronskian ()
void	FullBesselDerivative ()
void	FullModifiedBesselDerivitive ()
void	RealBesselWronskian ()
void	RealBesselRecurrence ()
void	RealBesselInequality ()
void	RealBesselFresnel ()
void	BesselTower ()
void	RealBesselJIntegral ()
void	SphericalBesselSpecialCase ()
void	SphericalBesselRecurrence ()
void	SphericalBesselNegativeOrder ()
void	SphericalBesselWronskian ()
void	SphericalBesselRealBesselAgreement ()
void	SphericalBesselTower ()
void	GammaRecurrsion ()
void	GammaSpecialCases ()
void	GammaReflection ()
void	GammaInequality ()
void	GammaIntegral ()
void	GammaTrottIdentity ()
void	LogGammaDuplication ()
void	LogGammaTriplication ()
void	LogGammaNegativeArgument ()
void	GammaRatioInequality ()
void	PsiSpecialCases ()
void	PsiRecurrence ()
void	PsiReflection ()
void	PsiDuplication ()
void	TriGammaSpecialCases ()
void	TriGammaReflection ()
void	TetraGammaReflection ()
void	PolyGammaRiemann ()
void	PolyGammaDuplication ()
void	PolyGammaIntegral ()
void	PolyGammaRecurrence ()
void	DigammaAgreement ()
void	RegularizedIncompleteGammaRecurrence ()
void	RegularizedIncompleteGammaExponential ()
void	RegularizedIncompleteGammaUnitarity ()
void	IncompleteGammaInequality ()
void	IncompleteGammaIntegerInequality ()
void	IncompleteGammaErfc ()
void	IncompleteGammaExp ()
void	BetaSpecialValues ()
void	BetaIntegral ()
void	BetaRecurrence ()
void	BetaTransformationTest ()
void	BetaInequality ()
void	IncompleteBetaLimits ()
void	IncompleteBetaIdentity1 ()
void	IncompleteBetaIdentity2 ()
void	IncompleteBetaRecurrence ()
void	ErfNegativeArgumentsTest ()
void	ErrorFunctionSpecialCases ()
void	InverseErrofFunctionSpecialCases ()
void	InverseErfTest ()
void	InverseErfIntegralTest ()
void	ErfIntegralTest ()
void	ErrorFunctionComplementarity ()
void	ErfcInequality ()
void	ErfcIntegral ()
void	IntegralESpecialCaseTest ()
void	IntegralE1Inequality ()
void	IntegralEInequality ()
void	IntegralERecurrence ()
void	IntegralEIntegral ()
void	IntegralEIncompleteGamma ()
void	IntegralEInvalidArgumentTest ()
void	RiemannZetaSpecialCaseTest ()
void	RiemannZetaReflectionTest ()
void	ReimannZetaPrimesTest ()
void	DirichletEtaSpecialCaseTest ()
void	DawsonSpecialCaseTest ()
void	DawsonInequalityTest ()
void	DawsonIntegralTest ()
void	FresnelReflectionTest ()
void	FresnelSIntegralTest ()
void	FresnelCIntegralTest ()
void	IntegralSiDefinition ()
void	IntegralCiSiIntegrals ()
void	LambertTest ()
void	LambertSpecialCaseTest ()
void	CoulombEtaZeroTest ()
void	CoulombWronskianTest ()
void	CoulombRecursionTest ()
void	ModifiedBesselArgumentZeroTest ()
void	ModifiedBesselWronskianTest ()
void	ModifiedBesselHalfIntegerOrderTest ()
void	ModifiedBesselTower ()
void	ModifiedBesselIntegralTest ()
void	ModifiedBesselAgreement ()
void	ModifiedBesselWronskian ()
void	BesselModifiedBesselRelationship ()
void	AiryIntegral ()
void	AiryZeroArgument ()
void	AiryIntegrals ()
void	AiryBairyIntegral ()
void	AiryWronskian ()
void	GoldenRatioTest ()
void	CatalanIntegralTest ()
void	DiLogSpecialCases ()
void	DiLogDuplication ()
void	DiLogBailyIdentity ()
void	DiLogExpIntegral ()
void	DiLogLogIntegral ()
void	PolyLogSpecialCases ()
void	PolyLogOneHalf ()
void	TriLogSpecialCases ()
void	TriLogBaileyLadders ()
void	PolyLogIntegration ()
void	PolyLogDuplication ()
void	EllipticKSpecialCases ()
void	EllipticKInequality ()
void	EllipticKIntegration ()
void	EllipticKCatalanIntegral ()
void	EllipticFSpecialCases ()
void	EllipticFIntegration ()
void	CarlsonFDuplication ()
void	CarlsonFSpecialCases ()
void	CarlsonFInequality ()
void	CarlsonDSymmetrizedSum ()
void	CarslonDSpecialCases ()
void	CarlsonLegendreRelation ()
void	CarlsonLemniscaticValues ()
void	EllipticESPecialCases ()
void	EllipticLegendreRelation ()
void	EllipticEIntegration ()
void	EllipticLandenTransform ()
void	EllipticKCarlsonFRelationship ()
void	EllipticFBetaRelationship ()
void	EllipticFIntegral ()
void	ClausenSpecialValues ()
void	ClausenIntegral ()
void	ClausenSymmetries ()
void	IntegralTiDefinition ()

Private Member Functions
bool	BesselYInRange (double n, double x)

Static Private Member Functions
static void	CoulombWronskianHelper (int L, double eta, double rho)
static void	CoulombRecursionTestHelper (double L, double eta, double rho, double UM, double U, double UP)

Private Attributes
int[]	orders = new int[] { 3, 30, 300 }
double[]	arguments = new double[] { 0.11, 1.1, 11.1, 111.1 }
int[]	primes = new int[] { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 }

Member Function Documentation

bool Test.AdvancedMathTest.BesselYInRange ( double  n, double  x  )

inlineprivate

References Meta.Numerics.Functions.AdvancedMath.LogGamma().

Referenced by Test.AdvancedMathTest.FullBesselDerivative(), Test.AdvancedMathTest.FullBesselRealBesselAgreement(), Test.AdvancedMathTest.FullBesselWronskian(), Test.AdvancedMathTest.IntegerBesselRealBesselAgreement(), Test.AdvancedMathTest.IntegerBesselRecurrence(), Test.AdvancedMathTest.IntegerBesselWronskian(), Test.AdvancedMathTest.RealBesselInequality(), Test.AdvancedMathTest.RealBesselRecurrence(), Test.AdvancedMathTest.RealBesselWronskian(), Test.AdvancedMathTest.SphericalBesselRealBesselAgreement(), Test.AdvancedMathTest.SphericalBesselRecurrence(), and Test.AdvancedMathTest.SphericalBesselWronskian().

void Test.AdvancedMathTest.IntegerBesselSpecialCase ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), and Meta.Numerics.Functions.AdvancedMath.BesselY().

void Test.AdvancedMathTest.IntegerBesselNegativeOrder ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), and Meta.Numerics.Functions.AdvancedMath.BesselY().

void Test.AdvancedMathTest.IntegerBesselNegativeArgument ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ().

void Test.AdvancedMathTest.IntegerBesselRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), and Test.AdvancedMathTest.BesselYInRange().

void Test.AdvancedMathTest.IntegerBesselWronskian ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), Test.AdvancedMathTest.BesselYInRange(), and Meta.Numerics.Functions.AdvancedMath.LogGamma().

void Test.AdvancedMathTest.BesselJ0Integral ( )

inline

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

void Test.AdvancedMathTest.BesselY0Integral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselY(), Meta.Numerics.Functions.AdvancedMath.EulerGamma, Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.IntegerBesselJIntegral ( )

inline

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

void Test.AdvancedMathTest.BesselKapteynIntegral ( )

inline

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

void Test.AdvancedMathTest.BesselLipshitzIntegral ( )

inline

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

void Test.AdvancedMathTest.BesselWeberIntegral ( )

inline

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

void Test.AdvancedMathTest.IntegerBesselRealBesselAgreement ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), and Test.AdvancedMathTest.BesselYInRange().

void Test.AdvancedMathTest.FullBesselRealBesselAgreement ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Bessel(), Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.FullBesselWronskian ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Bessel(), Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.SolutionPair.FirstSolutionDerivative, Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.SolutionPair.SecondSolutionDerivative, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.FullBesselDerivative ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Bessel(), Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.SolutionPair.FirstSolutionDerivative, Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.SolutionPair.SecondSolutionDerivative, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.FullModifiedBesselDerivitive ( )

inline

References Meta.Numerics.Functions.SolutionPair.FirstSolutionDerivative, Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.AdvancedMath.ModifiedBessel(), Meta.Numerics.Functions.SolutionPair.SecondSolutionDerivative, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.RealBesselWronskian ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), and Test.AdvancedMathTest.BesselYInRange().

void Test.AdvancedMathTest.RealBesselRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), and Test.AdvancedMathTest.BesselYInRange().

void Test.AdvancedMathTest.RealBesselInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), and Test.AdvancedMathTest.BesselYInRange().

void Test.AdvancedMathTest.RealBesselFresnel ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ().

void Test.AdvancedMathTest.BesselTower ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ().

void Test.AdvancedMathTest.RealBesselJIntegral ( )

inline

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

void Test.AdvancedMathTest.SphericalBesselSpecialCase ( )

inline

References Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselY().

void Test.AdvancedMathTest.SphericalBesselRecurrence ( )

inline

References Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselY().

void Test.AdvancedMathTest.SphericalBesselNegativeOrder ( )

inline

References Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselY().

void Test.AdvancedMathTest.SphericalBesselWronskian ( )

inline

References Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselY().

void Test.AdvancedMathTest.SphericalBesselRealBesselAgreement ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedMath.BesselY(), Test.AdvancedMathTest.BesselYInRange(), Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselY().

void Test.AdvancedMathTest.SphericalBesselTower ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralSi(), and Meta.Numerics.Functions.AdvancedMath.SphericalBesselJ().

void Test.AdvancedMathTest.GammaRecurrsion ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.GammaSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.GammaReflection ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.GammaInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.GammaIntegral ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.Gamma(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.GammaTrottIdentity ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.LogGammaDuplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LogGamma().

void Test.AdvancedMathTest.LogGammaTriplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LogGamma().

void Test.AdvancedMathTest.LogGammaNegativeArgument ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LogGamma().

void Test.AdvancedMathTest.GammaRatioInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LogGamma().

void Test.AdvancedMathTest.PsiSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EulerGamma, and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PsiRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PsiReflection ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PsiDuplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.TriGammaSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Catalan, and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.TriGammaReflection ( )

inline

References Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.TetraGammaReflection ( )

inline

References Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PolyGammaRiemann ( )

inline

References Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.MoreMath.Pow(), Meta.Numerics.Functions.AdvancedMath.Psi(), and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.PolyGammaDuplication ( )

inline

References Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PolyGammaIntegral ( )

inline

References Meta.Numerics.MoreMath.ExpMinusOne(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.PolyGammaRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.DigammaAgreement ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.RegularizedIncompleteGammaRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma(), and Meta.Numerics.Functions.AdvancedMath.LeftRegularizedGamma().

void Test.AdvancedMathTest.RegularizedIncompleteGammaExponential ( )

inline

References Meta.Numerics.Functions.AdvancedMath.RightRegularizedGamma().

void Test.AdvancedMathTest.RegularizedIncompleteGammaUnitarity ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LeftRegularizedGamma(), and Meta.Numerics.Functions.AdvancedMath.RightRegularizedGamma().

void Test.AdvancedMathTest.IncompleteGammaInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.IncompleteGammaIntegerInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.RightRegularizedGamma().

void Test.AdvancedMathTest.IncompleteGammaErfc ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erfc(), and Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.IncompleteGammaExp ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.BetaSpecialValues ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta().

void Test.AdvancedMathTest.BetaIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.BetaRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta().

void Test.AdvancedMathTest.BetaTransformationTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta().

void Test.AdvancedMathTest.BetaInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta().

void Test.AdvancedMathTest.IncompleteBetaLimits ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LeftRegularizedBeta().

void Test.AdvancedMathTest.IncompleteBetaIdentity1 ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LeftRegularizedBeta().

void Test.AdvancedMathTest.IncompleteBetaIdentity2 ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LeftRegularizedBeta().

void Test.AdvancedMathTest.IncompleteBetaRecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LeftRegularizedBeta().

void Test.AdvancedMathTest.ErfNegativeArgumentsTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erf().

void Test.AdvancedMathTest.ErrorFunctionSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erf(), and Meta.Numerics.Functions.AdvancedMath.Erfc().

void Test.AdvancedMathTest.InverseErrofFunctionSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.InverseErf(), and Meta.Numerics.Functions.AdvancedMath.InverseErfc().

void Test.AdvancedMathTest.InverseErfTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erf(), Meta.Numerics.Functions.AdvancedMath.Erfc(), Meta.Numerics.Functions.AdvancedMath.InverseErf(), and Meta.Numerics.Functions.AdvancedMath.InverseErfc().

void Test.AdvancedMathTest.InverseErfIntegralTest ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.AdvancedMath.InverseErf().

void Test.AdvancedMathTest.ErfIntegralTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erf(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.ErrorFunctionComplementarity ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erf(), and Meta.Numerics.Functions.AdvancedMath.Erfc().

void Test.AdvancedMathTest.ErfcInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erfc().

void Test.AdvancedMathTest.ErfcIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Erfc(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.IntegralESpecialCaseTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralE().

void Test.AdvancedMathTest.IntegralE1Inequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralE().

void Test.AdvancedMathTest.IntegralEInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralE().

void Test.AdvancedMathTest.IntegralERecurrence ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralE().

void Test.AdvancedMathTest.IntegralEIntegral ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.IntegralE(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.IntegralEIncompleteGamma ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma(), Meta.Numerics.Functions.AdvancedMath.IntegralE(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.IntegralEInvalidArgumentTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralE().

void Test.AdvancedMathTest.RiemannZetaSpecialCaseTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.RiemannZetaReflectionTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Gamma(), and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.ReimannZetaPrimesTest ( )

inline

References Test.AdvancedMathTest.primes, and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.DirichletEtaSpecialCaseTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DirichletEta().

void Test.AdvancedMathTest.DawsonSpecialCaseTest ( )

inline

void Test.AdvancedMathTest.DawsonInequalityTest ( )

inline

void Test.AdvancedMathTest.DawsonIntegralTest ( )

inline

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

void Test.AdvancedMathTest.FresnelReflectionTest ( )

inline

void Test.AdvancedMathTest.FresnelSIntegralTest ( )

inline

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

void Test.AdvancedMathTest.FresnelCIntegralTest ( )

inline

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

void Test.AdvancedMathTest.IntegralSiDefinition ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.IntegralSi(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.IntegralCiSiIntegrals ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.IntegralCi(), Meta.Numerics.Functions.AdvancedMath.IntegralSi(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.LambertTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LambertW().

void Test.AdvancedMathTest.LambertSpecialCaseTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.LambertW().

void Test.AdvancedMathTest.CoulombEtaZeroTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CoulombF(), and Meta.Numerics.Functions.AdvancedMath.CoulombG().

void Test.AdvancedMathTest.CoulombWronskianTest ( )

inline

References Test.AdvancedMathTest.CoulombWronskianHelper().

static void Test.AdvancedMathTest.CoulombWronskianHelper ( int  L, double  eta, double  rho  )

inlinestaticprivate

References Meta.Numerics.Functions.AdvancedMath.CoulombF(), and Meta.Numerics.Functions.AdvancedMath.CoulombG().

Referenced by Test.AdvancedMathTest.CoulombWronskianTest().

void Test.AdvancedMathTest.CoulombRecursionTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CoulombF(), Meta.Numerics.Functions.AdvancedMath.CoulombG(), and Test.AdvancedMathTest.CoulombRecursionTestHelper().

static void Test.AdvancedMathTest.CoulombRecursionTestHelper ( double  L, double  eta, double  rho, double  UM, double  U, double  UP  )

inlinestaticprivate

Referenced by Test.AdvancedMathTest.CoulombRecursionTest().

void Test.AdvancedMathTest.ModifiedBesselArgumentZeroTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI(), and Meta.Numerics.Functions.AdvancedMath.ModifiedBesselK().

void Test.AdvancedMathTest.ModifiedBesselWronskianTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI(), and Meta.Numerics.Functions.AdvancedMath.ModifiedBesselK().

void Test.AdvancedMathTest.ModifiedBesselHalfIntegerOrderTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI(), and Meta.Numerics.Functions.AdvancedMath.ModifiedBesselK().

void Test.AdvancedMathTest.ModifiedBesselTower ( )

inline

References Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI().

void Test.AdvancedMathTest.ModifiedBesselIntegralTest ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI().

void Test.AdvancedMathTest.ModifiedBesselAgreement ( )

inline

References Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.AdvancedMath.ModifiedBessel(), Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI(), Meta.Numerics.Functions.AdvancedMath.ModifiedBesselK(), and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.ModifiedBesselWronskian ( )

inline

References Meta.Numerics.Functions.SolutionPair.FirstSolutionDerivative, Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.AdvancedMath.ModifiedBessel(), Meta.Numerics.Functions.SolutionPair.SecondSolutionDerivative, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.BesselModifiedBesselRelationship ( )

inline

References Meta.Numerics.Functions.AdvancedMath.BesselJ(), Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.Functions.AdvancedMath.ModifiedBesselI(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.AiryIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.AiryAi(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.AiryZeroArgument ( )

inline

References Meta.Numerics.Functions.AdvancedMath.AiryAi(), Meta.Numerics.Functions.AdvancedMath.AiryBi(), and Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.AiryIntegrals ( )

inline

References Meta.Numerics.Functions.AdvancedMath.AiryAi(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.AiryBairyIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.AiryAi(), Meta.Numerics.Functions.AdvancedMath.AiryBi(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.AiryWronskian ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Airy(), Meta.Numerics.Functions.SolutionPair.FirstSolutionDerivative, Meta.Numerics.Functions.SolutionPair.FirstSolutionValue, Meta.Numerics.Functions.SolutionPair.SecondSolutionDerivative, and Meta.Numerics.Functions.SolutionPair.SecondSolutionValue.

void Test.AdvancedMathTest.GoldenRatioTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.GoldenRatio.

void Test.AdvancedMathTest.CatalanIntegralTest ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Catalan, Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.DiLogSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DiLog(), and Meta.Numerics.Functions.AdvancedMath.GoldenRatio.

void Test.AdvancedMathTest.DiLogDuplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DiLog().

void Test.AdvancedMathTest.DiLogBailyIdentity ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DiLog(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.DiLogExpIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DiLog(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.DiLogLogIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DiLog(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.PolyLogSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.DirichletEta(), Meta.Numerics.Functions.AdvancedMath.PolyLog(), and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.PolyLogOneHalf ( )

inline

References Meta.Numerics.Functions.AdvancedMath.PolyLog(), Meta.Numerics.MoreMath.Pow(), Meta.Numerics.Functions.AdvancedMath.RiemannZeta(), and Meta.Numerics.MoreMath.Sqr().

void Test.AdvancedMathTest.TriLogSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.GoldenRatio, Meta.Numerics.Functions.AdvancedMath.PolyLog(), Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.TriLogBaileyLadders ( )

inline

References Meta.Numerics.Functions.AdvancedMath.PolyLog(), and Meta.Numerics.Functions.AdvancedMath.RiemannZeta().

void Test.AdvancedMathTest.PolyLogIntegration ( )

inline

References Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.Functions.AdvancedMath.PolyLog().

void Test.AdvancedMathTest.PolyLogDuplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.PolyLog(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.EllipticKSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticK(), and Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.EllipticKInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticK().

void Test.AdvancedMathTest.EllipticKIntegration ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticK(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.EllipticKCatalanIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Catalan, Meta.Numerics.Functions.AdvancedMath.EllipticK(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.EllipticFSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticF().

void Test.AdvancedMathTest.EllipticFIntegration ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticF(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.CarlsonFDuplication ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonF().

void Test.AdvancedMathTest.CarlsonFSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonF().

void Test.AdvancedMathTest.CarlsonFInequality ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonF().

void Test.AdvancedMathTest.CarlsonDSymmetrizedSum ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonD(), and Meta.Numerics.Functions.AdvancedMath.CarlsonF().

void Test.AdvancedMathTest.CarslonDSpecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonD().

void Test.AdvancedMathTest.CarlsonLegendreRelation ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonD(), and Meta.Numerics.Functions.AdvancedMath.CarlsonF().

void Test.AdvancedMathTest.CarlsonLemniscaticValues ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonD(), Meta.Numerics.Functions.AdvancedMath.CarlsonF(), Meta.Numerics.Functions.AdvancedMath.Gamma(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.EllipticESPecialCases ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticE(), and Meta.Numerics.Functions.AdvancedMath.Gamma().

void Test.AdvancedMathTest.EllipticLegendreRelation ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticE(), and Meta.Numerics.Functions.AdvancedMath.EllipticK().

void Test.AdvancedMathTest.EllipticEIntegration ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticE(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.EllipticLandenTransform ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticE(), and Meta.Numerics.Functions.AdvancedMath.EllipticK().

void Test.AdvancedMathTest.EllipticKCarlsonFRelationship ( )

inline

References Meta.Numerics.Functions.AdvancedMath.CarlsonF(), and Meta.Numerics.Functions.AdvancedMath.EllipticK().

void Test.AdvancedMathTest.EllipticFBetaRelationship ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Beta(), Meta.Numerics.Functions.AdvancedMath.EllipticF(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.EllipticFIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.EllipticF(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.FunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

void Test.AdvancedMathTest.ClausenSpecialValues ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Catalan, Meta.Numerics.Functions.AdvancedMath.Clausen(), and Meta.Numerics.Functions.AdvancedMath.Psi().

void Test.AdvancedMathTest.ClausenIntegral ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Clausen(), Meta.Numerics.Interval.FromEndpoints(), and Meta.Numerics.Analysis.FunctionMath.Integrate().

void Test.AdvancedMathTest.ClausenSymmetries ( )

inline

References Meta.Numerics.Functions.AdvancedMath.Clausen().

void Test.AdvancedMathTest.IntegralTiDefinition ( )

inline

References Meta.Numerics.Functions.AdvancedMath.IntegralTi().

Member Data Documentation

int [] Test.AdvancedMathTest.orders = new int[] { 3, 30, 300 }

private

double [] Test.AdvancedMathTest.arguments = new double[] { 0.11, 1.1, 11.1, 111.1 }

private

int [] Test.AdvancedMathTest.primes = new int[] { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 }

private

Referenced by Test.AdvancedMathTest.ReimannZetaPrimesTest().

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

• igtest/numerics/MetaNumerics/Numerics/Test/AdvancedMathTest.cs