Tool for generating random variables that follows given frequency distibution using linear regressions in given intervals.
GitHub: https://github.com/YujiSODE/regLines
Wiki: https://github.com/YujiSODE/regLines/wiki

Copyright (c) 2018 Yuji SODE <[email protected]>
This software is released under the MIT License.
See LICENSE or http://opensource.org/licenses/mit-license.php

::regLines::reglines X Y ?name?;
it outputs tcl script file that defines additional math functions (lines(x), linesPDF(x) and linesVar()) and returns generated filename

• $X and $Y: numerical lists for x-axis and y-axis
• $name: a text used in order to generate filename of output file, and numbers are default value.
  generated filename has a form of "${name}_regL.tcl"

Two expressions are available for linear regressions.

1. dx
   data ranges are defined as v0 v1 ... vn where v0 and vn are the maximum and minimum values.
   vi=v(i-1)+dx and 0<i<n.

2. x0 x1 ... xn
   data ranges are defined as x0 x1 ... xn.

It requires Tcl/Tk 8.6+.

• regLines.tcl

• lines(x): function that returns estimated sample distribution
• linesPDF(x): function that returns a value of probability density function estimated from the sample distribution
• linesVar(): function that returns a random variable following PDF
  • $x: a numerical value

• linesvar_toTcl.tcl (Yuji SODE, 2018): the MIT License

• linesvar_toJavaScript.tcl (Yuji SODE, 2018): the MIT License

• lSum/lSum.tcl (Yuji SODE, 2018): https://gist.github.com/YujiSODE/1f9a4e2729212691972b196a76ba9bd0