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# psrw |
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2D radom walk in Postscript |
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|
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This is a simple Postscript hack to visualise a 2D random walk. The |
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interesting part is that you get a different trajectory of the random |
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walk every time you open the file `psrw.ps`. |
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|
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You can open the file with `gv`: |
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''' |
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gv -nosafer -nosafedir psrw.ps |
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''' |
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where the extra options are needed to disable some security checks. You |
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can also visualise the document with Ghostscript, if you like: |
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''' |
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gs psrw.ps |
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''' |
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Liked it? Now close the file and reopen it ;-) |
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|
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## WTF? |
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|
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Postscript is a Turing-complete language. This means that you can do any |
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feasible computation in Postscript. Hence, simulating a random walk in |
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Postscript is not a big fuss at all, also because the standard |
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Postscript definition already includes a pseudo-random number generator, |
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so you don't need to implement it yourself. The only problem is that the |
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pseudo-random number generator needs to be initialised with a new seed, |
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otherwise you would always visualise the _same_ trajectory. |
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|
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The simple solution implemented in `psrw.ps` is to store the seed in the |
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same file as a comment, and _update_ it after every run. In a word, |
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`psrw.ps` rewrites itself at each run, changing the seed and allowing to |
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generate a _new_ random walk trajectory every time you open the file. |
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|
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## Why? |
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Well, there is no particular reason to write anything like `psrw.ps`. I |
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just tried to do something similar around 2001 or 2002, when I was using |
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Postscript quite heavily, and at that time I did not find a proper way |
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through. The simplicity of the solution implemented in `psrw.ps` |
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scratches a long-standing personal itch, and tells a lot about my poor |
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knowledge of Postscript... |
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|
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## No really, WHY? |
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I just wanted to make a point about (not) trusting documents written in |
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formats that you don't understand, or that are not freely accessible or |
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not documented. Many _text_ formats out there are Turing-complete or |
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close-to, and some visualiser (e.g., for PDF or OpenXML) include |
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interpreters for other Turing-complete languages (like Javascript or |
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VBScript). This mean that they can do almost anything when you "_open_" |
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those "_text_" files. |
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If it's so easy to craft a document that modifies itself to change a |
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comment that you can't visualise, what else can be done by "_text_" |
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files saved in proprietary formats? |
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## Links |
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- A brief [summary of Poscript |
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commands][http://www.math.ubc.ca/~cass/courses/ps.html] |
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- A [game of life][https://www.tjhsst.edu/~edanaher/pslife/] written in |
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Poscript |
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- An interesting |
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[proof][https://nixwindows.wordpress.com/2018/03/13/ed1-is-turing-complete/ |
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] showing that [ed, the standard text |
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editor][http://wiki.c2.com/?EdIsTheStandardTextEditor] is indeed |
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Turing-complete |
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|
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## License |
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This program is (c) 2018 Vincenzo (KatolaZ) Nicosia. You can use, |
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modify, and redistribute it under the terms of the GNU General Public |
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License, either Version 3 of the License or, at your option, any later |
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version. |
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@ -0,0 +1,105 @@ |
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%% 13331 |
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%% |
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%% Visualise a different 2D random walk every time the file is |
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%% opened |
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%% |
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%% (c) 2018 Vincenzo (KatolaZ) Nicosia <katolaz@freaknet.org> |
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%% |
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%% Use and distribute under the terms of the GNU General Public Licence |
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%% Version 3 or, at your option, any later version. |
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%% |
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/myname (./psrw.ps) def |
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/rwstartx 250 def |
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/rwstarty 400 def |
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/rwlength 500 def |
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/rwstep 8 def |
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/myreadlines { |
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dup |
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255 string |
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readline |
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{ 2 -1 roll myreadlines} {pop exit} ifelse |
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} def |
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/myloadfile { |
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(r) file |
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{myreadlines} loop |
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closefile |
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} def |
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/mywritelines{ |
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count |
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1 ne |
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{ |
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dup |
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count -1 roll |
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writestring |
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dup |
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(\n) writestring |
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mywritelines |
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} |
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{exit} ifelse |
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} def |
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/mywritefile { |
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(w) file |
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{mywritelines} loop |
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closefile |
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} def |
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/replacefirst { |
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count -1 roll |
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pop |
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count 1 roll |
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} def |
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/get_seed { |
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myname (r) file |
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dup |
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255 string |
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readline |
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pop |
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(%% ) anchorsearch |
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{pop cvi} {pop 201} ifelse |
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exch closefile |
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} def |
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%% This comes from GNU Ghostscript |
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/concatstrings % (a) (b) -> (ab) |
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{ exch dup length |
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2 index length add string |
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dup dup 4 2 roll copy length |
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4 -1 roll putinterval |
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} bind def |
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/rndangle { rand 360 mod 2 -1 roll pop } def |
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/newrndpoint { |
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rndangle |
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dup |
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cos rwstep mul |
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2 -1 roll |
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sin rwstep mul |
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} def |
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erasepage |
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newpath |
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rwstartx rwstarty moveto |
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2 setlinewidth |
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get_seed |
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srand |
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1 1 rwlength { newrndpoint rlineto } for |
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stroke |
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myname myloadfile |
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(%% ) rand 30 string cvs concatstrings |
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replacefirst |
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myname mywritefile |
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