UnitSphereDistribution Class

Vector of three random numbers distributed uniformly on the unit sphere.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.Probability.OldProbabilityDistribution
Altaxo.Calc.Probability.OldUnitSphereDistribution

Namespace: Altaxo.Calc.Probability.Old
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

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public class UnitSphereDistribution : ProbabilityDistribution

The UnitSphereDistribution type exposes the following members.

Constructors

	Name	Description
	UnitSphereDistribution	Initializes a new instance of the UnitSphereDistribution class.
	UnitSphereDistribution(RandomGenerator)	Initializes a new instance of the UnitSphereDistribution class with a specified generator.

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Properties

	Name	Description
	Generator	Returns the random generator used by the distribution to generate the random values. (Inherited from ProbabilityDistribution)

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Methods

	Name	Description
	CDF	Gives the cumulative probability at x. (Overrides ProbabilityDistributionCDF(Double))
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	NextDouble	Generates a random value distributed according to the distribution. (Overrides ProbabilityDistributionNextDouble)
	NextDouble(Double, Double, Double)	Generates the next random vector.
	PDF	Gives the probability density at x. (Overrides ProbabilityDistributionPDF(Double))
	Quantile	Gives the pth quantile of the distribution. (Overrides ProbabilityDistributionQuantile(Double))
	ToString	Returns a string that represents the current object. (Inherited from Object)

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Fields

	Name	Description
	generator	Pointer to generator. (Inherited from ProbabilityDistribution)
	scale	Scaling factor used to transform generator output into the interval needed by the sphere algorithm.

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Remarks


             Uses the algorithm of Marsaglia, Ann. Math. Stat 43, 645 (1972).
             On average, this requires 2.25 deviates per vector and a square-root calculation.
             Vector of three random numbers (x,y,z) which are distributed uniformly
             on the unit sphere.
            
             Uses the algorithm of Marsaglia, Ann. Math. Stat. 43, 645 (1972).
             On average, this requires 2.25 deviates per vector and a square-root calculation.

Reference

Altaxo.Calc.Probability.Old Namespace