# psrw 2D radom walk in Postscript This is a simple Postscript hack to visualise a 2D random walk. The interesting part is that you get a different trajectory of the random walk every time you open the file `psrw.ps`. You can open the file with `gv`: ``` gv -nosafer -nosafedir psrw.ps ``` where the extra options are needed to disable some security checks. You can also visualise the document with Ghostscript, if you like: ``` gs psrw.ps ``` Liked it? Now close the file and reopen it ;-) _Hint 1_: If you enable the "Watch File" option in `gv`, you will get a nice slideshow, for some definition of nice. _Hint 2_: Running `gv` with `-nosafer -nodirsafe` might be a very bad idea. ## WTF? Postscript is a Turing-complete language. This means that you can perform any feasible computation in Postscript. Hence, simulating a random walk in Postscript is not a big fuss at all, also because the standard Postscript definition already includes a pseudo-random number generator, so you don't need to implement it yourself. The only problem is that the pseudo-random number generator needs to be initialised with a new seed, otherwise you would always visualise the _same_ trajectory. The simple solution implemented in `psrw.ps` is to store the seed in the same file as a comment, and _update_ it at each run. In practice, `psrw.ps` rewrites a slightly modified copy of itself every time you "view" it, but a user would hardly notice it :-) ## Why? Well, you don't need a particular reason to write anything like `psrw.ps`. I just tried to do something similar around 2001 or 2002, when I was using Postscript quite heavily, and at that time I did not find a proper way through. So the simplicity of the solution implemented in `psrw.ps` scratches a long-standing personal itch, and tells a lot about my very poor understanding of Postscript... ## No seriously, WHY? I just wanted to make a point about (not) trusting documents written in formats that you don't understand, or that are not freely accessible or are poorly or not documented. Many _text_ formats out there are Turing-complete or close-to, and some viewers (e.g., for PDF or OpenXML files) include interpreters for other Turing-complete languages (like Javascript or VBScript). This mean that these viewers can do almost anything when you "_open_" those "_text_" files. The only chance you have is to understand what is going on behind the scenes, or to trust the company that provided the smart viewer. But can you really trust _them_? If it was so easy for a Postscript illiterate like me to craft a document that modifies itself by changing _something_ that you cannot even visualise, what else can be done by "_text_" files saved in proprietary formats? Well, at this point you should start thinking that you cannot really _trust me_ either, even if I sweared that `psrw.ps` does absolutely nothing nasty when you "open" it. But how can you be sure I am telling the truth? ;-) ## Links - A brief [summary of Poscript commands](http://www.math.ubc.ca/~cass/courses/ps.html) - A [game of life](https://www.tjhsst.edu/~edanaher/pslife/) written in Poscript - An interesting [proof](https://nixwindows.wordpress.com/2018/03/13/ed1-is-turing-complete/ ) showing that [ed, the standard text editor](http://wiki.c2.com/?EdIsTheStandardTextEditor) is indeed Turing-complete ## License This program is (c) 2018 Vincenzo (KatolaZ) Nicosia. You can use, modify, and redistribute it under the terms of the GNU General Public License, either Version 3 of the License or, at your option, any later version.