Function Repository Resource:

RandomRealPoint

Randomly choose a point within a specified domain

Contributed by: Arnoud Buzing

ResourceFunction["RandomRealPoint"][{range₁,range₂,…}]

generates a random point in the domain defined by the ranges.

ResourceFunction["RandomRealPoint"][ranges,n]

generates n random points on the domain.

ResourceFunction["RandomRealPoint"][ranges,{n₁,n₂,n₃}]

gives an n₁× n₂×… array of random points.

Details and Options

RandomRealPoint uses RandomReal to generate points with a uniform distribution.

Possible specifications of range_i are:

x_max

between zero and x_max

{x_min,x_max}

in range x_min to x_max

Find a point within a domain:

In[1]:=

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Find many within a four-dimensional domain:

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Create an array of random two-dimensional points in the specified domain:

In[3]:=

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Plot the points on a plane:

In[4]:=

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Create an array of random three-dimensional points:

In[5]:=

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Plot the points as surfaces:

In[6]:=

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Wolfram Language 11.3 (March 2018) or above