Click or drag to resize

UnitSphereDistribution Class

Generates vectors of three random numbers distributed uniformly on the unit sphere.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.ProbabilityDistribution
    Altaxo.Calc.ProbabilityUnitSphereDistribution

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
Copy
public class UnitSphereDistribution : Distribution

The UnitSphereDistribution type exposes the following members.

Constructors
 NameDescription
Public methodUnitSphereDistribution Initializes a new instance of the UnitSphereDistribution class.
Public methodUnitSphereDistribution(Generator) Initializes a new instance of the UnitSphereDistribution class using the specified underlying random number generator.
Top
Properties
 NameDescription
Public propertyCanReset Gets a value indicating whether the random number distribution can be reset so that it produces the same random number sequence again.
(Inherited from Distribution)
Public propertyGenerator Gets or sets a Generator object that can be used as the underlying random number generator.
(Inherited from Distribution)
Public propertyMaximum Gets the maximum possible value of distributed random numbers.
(Overrides DistributionMaximum)
Public propertyMean Gets the mean of distributed random numbers.
(Overrides DistributionMean)
Public propertyMedian Gets the median of distributed random numbers.
(Overrides DistributionMedian)
Public propertyMinimum Gets the minimum possible value of distributed random numbers.
(Overrides DistributionMinimum)
Public propertyMode Gets the mode of distributed random numbers.
(Overrides DistributionMode)
Public propertyVariance Gets the variance of distributed random numbers.
(Overrides DistributionVariance)
Top
Methods
 NameDescription
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodNextDouble Returns a distributed floating-point random number.
(Overrides DistributionNextDouble)
Public methodNextDoubles Generates the next point (x, y, z) uniformly distributed on the unit sphere.
Public methodReset Resets the random number distribution so that it produces the same random number sequence again.
(Inherited from Distribution)
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
Top
Fields
 NameDescription
Protected fieldgenerator Stores a Generator object that can be used as the underlying random number generator.
(Inherited from Distribution)
Protected fieldscale Scaling factor used to transform integer generator output into the interval [-1, 1].
Top
Remarks
C#
Copy
Uses the algorithm of Marsaglia, Ann. Math. Stat. 43, 645 (1972).
On average, requires 2.25 deviates per vector and one square-root calculation.

Vector of three random numbers (x,y,z) which are distributed uniformly
on the unit sphere.
See Also