meshRandom

Tool that simulates two-dimensional sample distribution based on a sample defined mesh
GitHub: https://github.com/YujiSODE/meshRandom

Copyright (c) 2020 Yuji SODE <yuji.sode@gmail.com>
This software is released under the MIT License.
See LICENSE or http://opensource.org/licenses/mit-license.php

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Figure 1. Four sample data sets and simulated random coordinates.
A. data set model: y=3.0*x+5.0.
B. data set model: y=3.0*x+5.0*U where U is random number in (0,1).
C. data set model: y=sin(x).
D. data set model: (x,y)=(0.25*cos(n*π/2.0),0.25*sin(n*π/2.0)) where n=0,1,2,....
y^ is simulated random coordinates.

1. Description

Tool that simulates two-dimensional sample distribution based on a sample defined mesh.

1-1. Shell

• tclsh meshRandom.tcl N xyList;

1-2. Tcl

• ::meshRandom::randoms N xyList;

  • $N: number of random coordinates to return
  • $xyList: a list of xy-coordinate data, and every element is expressed as x,y

2. Concept

Supposing that two-dimensional sample distribution is composed of four sample points P₁ to P₄.
Sample points P are linked by paths F.
Random coordinates P^ are generated along a path F_ij.
P^ is included within a distribution P₁P₂P₃P₄.

Figure 2. Diagram showing concept of meshRandom.
Filled circles show sample points. Red lines show sample paths Fij beteween two sample points Pi and Pj.

3. Script

• meshRandom.tcl

It requires Tcl 8.6+.

4. Library list

• Sode, Y. 2018. lSum_min.tcl: https://gist.github.com/YujiSODE/1f9a4e2729212691972b196a76ba9bd0
• Sode, Y. 2018. lPairwise_min.tcl; the MIT License: https://gist.github.com/YujiSODE/0d520f3e178894cd1f2fee407bbd3e16