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https://issues.apache.org/jira/browse/RNG-132?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Alex Herbert updated RNG-132:
-----------------------------
    Description: 
Create a {{rng.sampling.shape}} package in the sampling module to contain 
work-in-progress samplers for shapes.
 * UnitSphereSampler (N-surface) [1]
 * UnitBallSampler (N-volume)
 * UnitSimplexSampler (N-surface)
 * LineSampler (N-dimension points on a line segment or polyline)
 * TriangleSampler (N-dimension points within a triangle in a 2D plane)
 * TetrahedronSampler (3D points inside a tetrahedron)
 * SurfaceSampler (ND points on a triangulated surface) [2]
 * VolumeSampler (3D points inside a volume composed of tetrahedrons)
 * UnitCubeSampler (N-volume)

[1] The UnitSphereSampler can be deprecated and a new version created to use a 
factory method to create the sampler (allowing optimisation for low dimensions).

[2] The SurfaceSampler would be a composite sampler. For sampling a surface the 
TriangleSampler can be combined with the AliasMethodSamplerDiscreteSampler. The 
surface should be triangulated. The area of each triangle is used to create a 
distribution of which triangle to pick using the alias method. A sample is then 
taken from the chosen triangle.

Shape geometry will not be validated beyond basic testing for non-finite values 
of input coordinates. Validation of shapes could potentially be done by 
creating a {{commons-geometry-sampling}} module in the commons geometry project.
  

  was:
Create a {{rng.sampling.shape}} package in the sampling module to contain 
work-in-progress samplers for shapes.
 * UnitSphereSampler1 (N-surface)
 * UnitBallSampler (N-volume)
 * UnitSimplexSampler (N-surface)
 * LineSampler (N-dimension points on a line segment or polyline)
 * TriangleSampler (N-dimension points within a triangle in a 2D plane)
 * TetrahedronSampler (3D points inside a tetrahedron)
 * SurfaceSampler2 (ND points on a triangulated surface)
 * VolumeSampler (3D points inside a volume composed of tetrahedrons)
 * UnitCubeSampler (N-volume)

1The UnitSphereSampler can be deprecated and a new version created to use a 
factory method to create the sampler (allowing optimisation for low dimensions).

^2^The SurfaceSampler would be a composite sampler. For sampling a surface the 
TriangleSampler can be combined with the AliasMethodSamplerDiscreteSampler. The 
surface should be triangulated. The area of each triangle is used to create a 
distribution of which triangle to pick using the alias method. A sample is then 
taken from the chosen triangle.

Shape geometry will not be validated beyond basic testing for non-finite values 
of input coordinates. Validation of shapes could potentially be done by 
creating a {{commons-geometry-sampling}} module in the commons geometry project.
 


> Package rng.sampling.shape for sampling coordinates from shapes
> ---------------------------------------------------------------
>
>                 Key: RNG-132
>                 URL: https://issues.apache.org/jira/browse/RNG-132
>             Project: Commons RNG
>          Issue Type: Task
>          Components: sampling
>    Affects Versions: 1.4
>            Reporter: Alex Herbert
>            Assignee: Alex Herbert
>            Priority: Major
>
> Create a {{rng.sampling.shape}} package in the sampling module to contain 
> work-in-progress samplers for shapes.
>  * UnitSphereSampler (N-surface) [1]
>  * UnitBallSampler (N-volume)
>  * UnitSimplexSampler (N-surface)
>  * LineSampler (N-dimension points on a line segment or polyline)
>  * TriangleSampler (N-dimension points within a triangle in a 2D plane)
>  * TetrahedronSampler (3D points inside a tetrahedron)
>  * SurfaceSampler (ND points on a triangulated surface) [2]
>  * VolumeSampler (3D points inside a volume composed of tetrahedrons)
>  * UnitCubeSampler (N-volume)
> [1] The UnitSphereSampler can be deprecated and a new version created to use 
> a factory method to create the sampler (allowing optimisation for low 
> dimensions).
> [2] The SurfaceSampler would be a composite sampler. For sampling a surface 
> the TriangleSampler can be combined with the 
> AliasMethodSamplerDiscreteSampler. The surface should be triangulated. The 
> area of each triangle is used to create a distribution of which triangle to 
> pick using the alias method. A sample is then taken from the chosen triangle.
> Shape geometry will not be validated beyond basic testing for non-finite 
> values of input coordinates. Validation of shapes could potentially be done 
> by creating a {{commons-geometry-sampling}} module in the commons geometry 
> project.
>   



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