While not strictly necessary, replacing the two ASCII tab characters in the markdown copyright comment makes it easier to detect problematic TAB indentation within markdown files. After this commit, only 90 markdown files have leading ASCII TAB characters. And again, while not strictly necessary, we can consider running expand on those 90 markdown files to see what effect that might have on the HTML files they produce. Replace leading ASCII TAB characters with multiples of 8 ASCII SPACE characters (the default action of the `expand(1)` tool) might have an negative effect on some HTML formatting where **hack-a-round** formatting was attempted to fix broken indentation caused by problematic ASCII TAB characters. Think of this as a baseline for evaluating leading TAB characters within markdown files. TODO: Consider either using `expand(1)` to replace leading ASCII TAB characters with multiples of 8 ASCII SPACE characters AND/OR modifying the appropriate `bin` tool to convert leading ASCII TAB characters into multiples of 8 ASCII SPACE characters.
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width=300
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<h1>The International Obfuscated C Code Contest</h1>
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<h2>1989/paul - Most complex algorithm</h2>
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</div>
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<div class="navbar">
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<a class="Left" href="../ovdluhe/index.html">← ovdluhe</a>
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<a class="Left" href="../index.html">↑ 1989 ↑</a>
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<a class="Left" href="../robison/index.html">robison →</a>
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<a class="Right" href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/paul.c">C code</a>
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<a class="Right" href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/Makefile">Makefile</a>
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<a class="Right" href="#inventory">Inventory</a>
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<a class="Right" href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fioccc-src.github.io%2Ftemp-test-ioccc%2F1989%2Fpaul%2Findex.html">✓</a>
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<h2 id="author">Author:</h2>
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<ul>
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<li>Name: <a href="../../authors.html#Paul_E_Black">Paul E. Black</a><br>
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Location: <a href="../../location.html#US">US</a> - <em>United States of America</em> (<em>United States</em>)</li>
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<!-- BEFORE: 1st line of markdown file: 1989/paul/README.md -->
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<h2 id="to-build">To build:</h2>
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<pre><code> make all</code></pre>
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<p>There is an alternate version with a trace routine that the author had commented
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out. See <a href="#alternate-code">alternate code</a> below for more details.</p>
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<h2 id="try">Try:</h2>
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<pre><code> ./paul</code></pre>
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<h2 id="alternate-code">Alternate code:</h2>
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<p>This version was described by the author like:</p>
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<blockquote>
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<p>I could have squeezed the program under 1024 bytes without the trace
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subroutine, but I felt it was important for understanding the program. Besides
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it is fun to watch the tape zooming back and forth as the program runs. A much
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better debugger or trace could easily be added.</p>
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</blockquote>
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<h3 id="alternate-build">Alternate build:</h3>
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<pre><code> make alt</code></pre>
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<h3 id="alternate-use">Alternate use:</h3>
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<pre><code> ./paul.alt</code></pre>
|
||
<h2 id="judges-remarks">Judges’ remarks:</h2>
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<p>The author’s comments is a detailed program explanation and spoiler. If you
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want a real challenge, don’t read any further and try to understand the program
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via the source.</p>
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||
<h3 id="historical-note">Historical note:</h3>
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||
<p>The original source contained a long line which caused many mailers to barf.
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The original file may be re-constructed by removing the trailing <code>\</code> on line 12
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||
and joining lines 12 and 13 together without a space.</p>
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||
<p>However as this is no longer a problem the trailing <code>\</code> has been restored in all
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versions, both the original and the fixed for modern systems version.</p>
|
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<h2 id="authors-remarks">Author’s remarks:</h2>
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<p>This programs computes and prints Fibonacci numbers by
|
||
simulating a Turing machine with the proper program.
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||
Understanding the C program, i.e., a Turing machine simulator,
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is only the first and simplest step. The Turing machine
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||
program must be understood, too! (it is trivial, perhaps even
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natural to write incredibly obscure Turing programs.)</p>
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<p>If the program is invoked with an operand, the operand is used
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as the Turing program. It includes a “trace” facility,
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subroutine <code>r</code> (commented out for obscurity), to help write and
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||
debug Turing programs. Just the thing for some fun in a Theory
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of Computation class.</p>
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||
<p>The Turing machine tape is represented as a doubly linked list
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of pointers. The forward and backward links are <code>XOR</code>ed together
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and stored in one pointer. If we always keep one of the links
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on hand, we can recover the other link at any time. The
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||
variable <code>q</code> is the scan head (and a pointer at some tape cell),
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and <code>p</code> is a “previous” link. The state of the tape is stored in
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the low order bit of the pointer. Since we always allocate an
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even number of bytes, the low order bit carries no information
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(see <a href="#portability">portability</a> below.) Memory representing a tape cell is
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allocated when the cell is first scanned. Thus the simulation
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begins with a tape effectively the size of virtual memory set
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to all zeros. Since a header can be added to any Turing
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program to write initial data and position the scan head, this
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||
is little loss of generality.</p>
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<p>The simulated Turing machine has a single tape with either a <code>1</code>
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or a <code>0</code> in each cell. The Turing machine language format is a
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string of three bytes. The first byte is the current state.
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The second byte is the next state. (The last bit of states is
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ignored, i.e., <code>B</code> and <code>C</code> are the same state, in an attempt to be
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able to have interesting words in the program.) The third byte
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is composed of bits. Bit <code>1</code> (<code>2&byte</code>) is the symbol scanned,
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i.e. an instruction is selected for state and for a match with
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the symbol under the scan head. Bit <code>2</code> (<code>4&byte</code>) is the new
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||
symbol to be written to the cell. Bit <code>3</code> (<code>8&byte</code>) is the
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direction to move the scan head: <code>0</code> for left and <code>1</code> for right.
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If bit <code>4</code> (<code>16&byte</code>) is true, the next character is sent to
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<code>stdout</code>. (I added this feature so programs could print
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results.)</p>
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<p>The Turing machine has next state <code>j</code> when it begins. The
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cycle is (1) exit if the state is <code>x</code>, (2) find the next
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instruction (given the state and the character under the scan
|
||
head). (The program string is searched forward for the next
|
||
matching instruction. If the end of the string is reached, the
|
||
search begins again at the first of the string. Thus states
|
||
can be used as local labels in different places.) (3) change to
|
||
the next state, (4) print a character if indicated, (5) write the
|
||
tape symbol, and (6) move the scan head. The cycle then repeats
|
||
with step 1. A call to the trace routine is just before step
|
||
2, but is commented out.</p>
|
||
<h3 id="quick-outline-of-the-turing-program">Quick outline of the Turing program:</h3>
|
||
<p>The previous and current Fibonacci numbers are kept in base
|
||
1 form with the current on the right. The first three
|
||
steps set up the first two numbers, <code>1</code> and <code>1</code>. Then,
|
||
beginning with ‘<code>@ (</code>’, a marker of ‘<code>III</code>’ is created and
|
||
the current number is copied to the right of the
|
||
marker. Then, beginning with ‘<code>OV</code>’, the number is
|
||
converted to binary by repeatedly dividing by 2 leaving I
|
||
for remainder <code>1</code>, and II for remainder ‘<code>0</code>’. Next,
|
||
beginning with ‘<code>WV</code>’, the binary representation is
|
||
printed and its symbols and the marker are erased.
|
||
Finally, beginning with ‘<code>EEn</code>’, the two numbers are
|
||
added and the current number copied to the left to
|
||
become the previous. Then the cycle repeats.</p>
|
||
<h3 id="portability">Portability</h3>
|
||
<p>The program requires that the lowest bit of a pointer to be 0.</p>
|
||
<p>I could have squeezed the program under 1024 bytes without the
|
||
trace subroutine, but I felt it was important for understanding
|
||
the program. Besides it is fun to watch the tape zooming back
|
||
and forth as the program runs. A much better debugger or trace
|
||
could easily be added.</p>
|
||
<!--
|
||
|
||
Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.
|
||
|
||
You are free to share and adapt this file under the terms of this license:
|
||
|
||
Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
|
||
|
||
For more information, see:
|
||
|
||
https://creativecommons.org/licenses/by-sa/4.0/
|
||
|
||
-->
|
||
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|
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|
||
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||
|
||
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|
||
<div id="inventory">
|
||
<h1 id="inventory-for-1989paul">Inventory for 1989/paul</h1>
|
||
</div>
|
||
<h2 id="primary-files">Primary files</h2>
|
||
<ul>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/paul.c">paul.c</a> - entry source code</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/Makefile">Makefile</a> - entry Makefile</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/paul.alt.c">paul.alt.c</a> - alternate source code</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/paul.orig.c">paul.orig.c</a> - original source code</li>
|
||
</ul>
|
||
<h2 id="secondary-files">Secondary files</h2>
|
||
<ul>
|
||
<li><a href="1989_paul.tar.bz2">1989_paul.tar.bz2</a> - download entry tarball</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/README.md">README.md</a> - markdown source for this web page</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/.entry.json">.entry.json</a> - entry summary and manifest in JSON</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/.gitignore">.gitignore</a> - list of files that should not be committed under git</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1989/paul/.path">.path</a> - directory path from top level directory</li>
|
||
<li><a href="index.html">index.html</a> - this web page</li>
|
||
</ul>
|
||
<hr style="width:10%;text-align:left;margin-left:0">
|
||
<h4>
|
||
Jump to: <a href="#">top</a>
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</h4>
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</div>
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|
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||
|
||
<!--
|
||
|
||
Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.
|
||
|
||
You are free to share and adapt this file under the terms of this license:
|
||
|
||
Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
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|
||
For more information, see:
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|
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https://creativecommons.org/licenses/by-sa/4.0/
|
||
|
||
-->
|
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|
||
<div class="footer">
|
||
|
||
<div id="copyright"><h3>Copyright © 1984-2024 by Landon Curt Noll:
|
||
<a href="https://creativecommons.org/faq/#what-does-some-rights-reserved-mean"
|
||
target="_blank"
|
||
rel="license noopener noreferrer">Some Rights Reserved</a></h3>
|
||
<p>
|
||
This work is <b>licensed by Landon Curt Noll</b> under
|
||
<b><a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1"
|
||
target="_blank"
|
||
rel="license noopener noreferrer"
|
||
style="display:inline-block;">CC BY-SA 4.0</a></b>.
|
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
|
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src="../../png/cc.png"
|
||
alt="cc inside circle symbol">
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
|
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src="../../png/by.png"
|
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alt="person inside circle symbol">
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
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src="../../png/sa.png"
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alt="arrow looping back on itself inside circle symbol"><br>
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You should <b>carefully review</b> the
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<b><a href="https://creativecommons.org/licenses/by-sa/4.0/legalcode.en"
|
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target="_blank"
|
||
rel="license noopener noreferrer">CC BY-SA 4.0 LEGAL CODE</a></b>
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before using the licensed material.<br>
|
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You may wish to review the
|
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<b><a href="../../license.html"
|
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target="_blank"
|
||
rel="license noopener noreferrer">highlights of some of the key features and terms</a></b>
|
||
of <b>CC BY-SA 4.0</b>.<br>
|
||
</p>
|
||
</div>
|
||
|
||
<div id="coda"><h3>Coda</h3>
|
||
<p>
|
||
<a href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fioccc-src.github.io%2Ftemp-test-ioccc%2F1989%2Fpaul%2Findex.html" rel="nofollow">Nu HTML check this web page</a><br>
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<a href="#top">Jump to top</a> <a href="#content">Jump to Content</a> <a href="#inventory">Jump to Inventory</a><br>
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</p>
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