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Landon Curt Noll f29b37e49a improve HTML menus, add social.html, prep for IOCCC28 winners
Prepare for the winners of **IOCCC28**.

> However these are not the 2024 droids you are looking for.  :-)

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<h1>The International Obfuscated C Code Contest</h1>
<h2>2012/blakely - Most GIFted expressions</h2>
<h3>Animated GIFs of surfaces</h3>
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<a class="Left" href="../../2011/zucker/index.html">&larr; 2011/zucker</a>
<a class="Left" href="../index.html">&uarr; 2012 &uarr;</a>
<a class="Left" href="../deckmyn/index.html">2012/deckmyn &rarr;</a>
<a class="Right" href="https://github.com/ioccc-src/winner/blob/master/2012/blakely/blakely.c">C code</a>
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<a class="Right" href="#inventory">Inventory</a>
<a class="Right" href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fwww.ioccc.org%2F2012%2Fblakely%2Findex.html">&#x2713;</a>
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<h2 id="author">Author:</h2>
<ul>
<li>Name: <a href="../../authors.html#Philip_Blakely">Philip Blakely</a><br>
Location: <a href="../../location.html#GB">GB</a> - <em>United Kingdom of Great Britain and Northern Ireland</em> (<em>United Kingdom</em>)</li>
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<h2 id="to-build">To build:</h2>
<pre><code> make</code></pre>
<h3 id="bugs-and-misfeatures">Bugs and (Mis)features:</h3>
<p>The current status of this entry is:</p>
<blockquote>
<p><strong>STATUS: INABIAF - please DO NOT fix</strong></p>
</blockquote>
<p>For more detailed information see <a href="../../bugs.html#2012_blakely">2012/blakely in bugs.html</a>.</p>
<h2 id="to-use">To use:</h2>
<pre><code> ./blakely &quot;RPN formula&quot; resolution &gt; output.gif</code></pre>
<h2 id="try">Try:</h2>
<pre><code> ./try.sh</code></pre>
<h2 id="judges-remarks">Judges’ remarks:</h2>
<p>Several IOCCC themes (<a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">RPN
calculator</a>, animated
<a href="https://en.wikipedia.org/wiki/GIF">GIF</a> generator, <a href="https://en.wikipedia.org/wiki/Ray_tracing_(graphics)">ray
tracing</a> graphics) in one package!
Very impressive!</p>
<p>The checkerboard pattern in the output can be broken. Could you figure out how?</p>
<p>Larger GIF files confuse some image viewers.</p>
<h2 id="authors-remarks">Author’s remarks:</h2>
<h3 id="remarks">Remarks</h3>
<p>This program renders a generic
<a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">RPN</a> expression in
<a href="https://en.wikipedia.org/wiki/Ray_tracing_(graphics)">ray-traced</a> animated
<a href="https://en.wikipedia.org/wiki/GIF">GIF</a> form. The expression in spatial
variables <code>x</code> and <code>y</code> is specified on the command-line with the required
resolution, and an animated GIF showing a fly-around of the resulting surface is
output to <code>stdout</code>.</p>
<h3 id="usage">Usage</h3>
<p>The program should be run as:</p>
<pre><code> ./blakely xy* 32 &gt; pic.gif</code></pre>
<p>where the first parameter is a
<a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">RPN</a> expression, and the
second is the width of the required <a href="https://en.wikipedia.org/wiki/GIF">GIF</a>, up
to a maximum of 250.</p>
<p>The expressions are written in <a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">Reverse Polish
Notation</a> with the
following characters recognised:</p>
<pre><code> +, -, *, / - usual arithmetic operations
^ - Exponentiation; valid for constant exponent only
s - sin
c - cos
0-9 - single digit integers
d - duplicate number on stack
t - transpose top two elements on stack
x - x coordinate value
y - y coordinate value</code></pre>
<p>NB: all arithmetic is done in double precision, so <code>23/</code> is two-thirds, rather
than 0.</p>
<p>The surface plotted corresponds to <code>-1 &lt;= x,y &lt;= 1</code> and for best results, the
generated <code>z</code> value should lie between <code>-1</code> and <code>1</code>.</p>
<p>If there is a division by zero, square-root of a negative number, or similar
operation, then the results are undefined.</p>
<h3 id="examples">Examples</h3>
<p>For test-runs, use a resolution of 32. For simple expressions, the
<a href="https://en.wikipedia.org/wiki/GIF">GIF</a> generation should take only
a few seconds with a modern processor and full optimization. Runtime scales as
O<sup>(N</sup>3), (see <a href="https://en.wikipedia.org/wiki/Big_O_notation">Big O notation</a> web page)
with resolution <code>N</code>,
and more complex expressions take longer to compute. For example, increasing the
resolution of <code>ripple.gif</code>
to 250 took ~35 minutes to render on an <a href="https://en.wikipedia.org/wiki/Intel_Core#Core_i7">i7
processor</a>.</p>
<pre><code> ./blakely xy* 32 &gt; saddle.gif
./blakely xx*yy*1++d5*ct/ 64 &gt; ripple.gif</code></pre>
<h3 id="algorithm">Algorithm</h3>
<p>A generic root-finding algorithm to find the point of intersection between a ray
and the surface is done using a simple forward search from the eye. In order to
make the rendering realistic, both the value of the expression, and its
derivative with respect to <code>x</code> and <code>y</code> must be tracked. This is done using an
obvious stack-based approach.</p>
<h3 id="obfuscations">Obfuscations</h3>
<p>Much of the obfuscation is achieved through the use of single-letter variables
and <code>#define</code>s. The characters output for the <a href="https://en.wikipedia.org/wiki/GIF#File_format">GIF
format</a> are generated in myriad
and wonderful ways, making use of
<a href="https://en.wikipedia.org/wiki/Exclusive_or">XOR</a>, return values from
<code>putchar()</code>, and odd expressions. The layout is in the form of <code>X Y Z</code>.</p>
<h3 id="limitations">Limitations</h3>
<p>ASCII is assumed since many bytes for the
<a href="https://en.wikipedia.org/wiki/GIF">GIF</a> output are generated from characters
given in the source code. On compilation a few warnings about parentheses come
up when using gcc 4.6.3, and one about no return value from <code>main()</code> (who uses
exit codes anyway?), but clang 3.1 emits no warnings.</p>
<h3 id="questions">Questions</h3>
<ul>
<li>Apart from their appearance when computing the <a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">RPN
expression</a>, <a href="https://en.wikipedia.org/wiki/Sine_and_cosine">sin and
cos</a> are not used.
How do we then get the correct angles for rotation?</li>
<li>Exactly how many times will the animation repeat?</li>
<li>Why is there an upper limit of 250x250 for the resolution?</li>
<li>What is the point of <code>b[0]</code>?</li>
<li>Where are the words <code>NETSCAPE</code> and <code>GIF</code> hidden in the source?</li>
</ul>
<p>(Note that the author may or may not be able to answer all of the above
questions.)</p>
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