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The plot_linear_distribution executable

Synopsis

Synopsis: plot_linear_distribution [ -sgn | -abs ] <distribution> { <distribution> }

Plots a linear distribution.

The plot is output to file in Latex format. It will be given an appropriate name and written to the plots directory. If this directory does not exist, it will be created. If the plot already exists, an error will be reported.

Mandatory command line arguments

Arguments <distribution> where

  • <distribution> is the path to the distribution

Optional command line arguments

Flags specifying the plot appearance (defaults to -sgn):

  • -sgn draw a plot in the signed logarithm of the argument
  • -abs draw a plot in the absolute value of the logarithm of the argument

Compiling the plot

To compile the source for the plot, you may use pdflatex as exemplified below:

$ ./plot_linear_distribution distributions/linear-distribution-det-dim-2048-d-m-2048-s-30.txt
Importing the distribution from "distributions/linear-distribution-det-dim-2048-d-m-2048-s-30.txt"...
Writing the plot to "plots/plot-linear-distribution-d-m-2048-s-30.tex"...
Done.
$ cd plots
$ pdflatex plot-linear-distribution-d-m-2048-s-30.tex

(..)

You may of course also use other versions of Latex such as xelatex. Note that the Latex source requires Tikz.

Interpreting the plot

When solving discrete logarithm problems, the plot generated is in the signed logarithm of the argument $\alpha_d$:

When solving order-finding problems, the plot generated is in the signed logarithm of the argument $\alpha_r$: