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<h1>The International Obfuscated C Code Contest</h1>
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<h2>1992/buzzard.1 - Most Obfuscated Algorithm</h2>
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<a class="Left" href="../buzzard.2/index.html">buzzard.2 →</a>
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<h2 id="author"><a name="author"></a>Author:</h2>
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<ul>
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<li>Name: <a href="../../authors.html#Sean_Barrett">Sean Barrett</a><br>
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Location: <a href="../../location.html#ZZ">ZZ</a> - <em>Unknown location</em>
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<h2 id="to-build">To build:</h2>
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<div class="sourceCode" id="cb1"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="fu">make</span> all</span></code></pre></div>
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<h2 id="to-use">To use:</h2>
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<div class="sourceCode" id="cb2"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="ex">./buzzard.1</span> num num</span></code></pre></div>
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<h2 id="try">Try:</h2>
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<div class="sourceCode" id="cb3"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="ex">./try.sh</span></span></code></pre></div>
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<h2 id="judges-remarks">Judges’ remarks:</h2>
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<p>To see good C Preprocessor buzzard.1, try:</p>
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<div class="sourceCode" id="cb4"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="fu">make</span> babble.cppcb</span>
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<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a><span class="fu">cat</span> babble.cppcb</span></code></pre></div>
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<p>Notice how many statements it takes to do anything useful?</p>
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<h2 id="authors-remarks">Author’s remarks:</h2>
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<p>What you shouldn’t think about <code>buzzard.1</code>:</p>
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<p><code>buzzard.1</code> doesn’t just do a mass of <code>#define</code>s as its obfuscation.</p>
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<h3 id="what-you-should-be-glad-about">What you should be glad about:</h3>
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<p>I didn’t just submit the post-C-preprocessed output as an entry.</p>
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<h4 id="cute-trick-warning">Cute trick warning</h4>
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<p><code>buzzard.1</code> contains only a numeric <code>printf(3)</code>, yet sometimes it prints out
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short strings.</p>
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<h3 id="what-it-does">What it does</h3>
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<p><code>buzzard.1</code> is a simple mathematical program. It expects two numeric
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arguments.</p>
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<div class="sourceCode" id="cb5"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a><span class="ex">./buzzard.1</span> 0 <span class="op"><</span>num<span class="op">></span></span></code></pre></div>
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<p>will print out the factorial of <code><num></code>.</p>
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<div class="sourceCode" id="cb6"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a><span class="ex">./buzzard.1</span> <span class="op"><</span>num1<span class="op">></span> <span class="op"><</span>num2<span class="op">></span></span></code></pre></div>
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<p>will print out the largest common factor of <code>num1</code> and <code>num2</code>.</p>
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<div class="sourceCode" id="cb7"><pre class="sourceCode sh"><code class="sourceCode bash"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a><span class="ex">./buzzard.1</span> 1 <span class="op"><</span>num2<span class="op">></span></span></code></pre></div>
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<p>will print out a factor of <code>num2</code> if it’s composite, or else
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it will print a string informing you that <code>num2</code> is prime.</p>
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<p>If the first argument is less than 0, it prints out an
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error message.</p>
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<h3 id="what-it-is">What it is</h3>
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<p><code>buzzard.1</code> is a translator from a pseudo-assembly language into a subset of C
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suitable for execution on Charles Babbage’s Analytical Engine. Or rather, the
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<code>#define</code>s in <code>buzzard.1</code> are that translator. The rest of <code>buzzard.1</code> is a
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<code>buzzard.1</code> program. If you run the whole mess through CPP and a beautifier, you
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will see that all you have is a loop that runs until a variable is not 0, and a
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sequence of assignment statements. The assignment statements are all of the
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form <code>a op= b</code> or <code>a = b</code>. The Engine actually allowed ‘a = b op c’. Only <code>+</code>,
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<code>-</code>, <code>/</code>, and <code>*</code> are used–no boolean or bitwise operators. The infinite loop
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could have been simulated on the AE by connecting the already-processed card
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stack to the input card stack.</p>
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<h3 id="how-to-try-to-understand-it">How to try to understand it</h3>
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<p><em>Don’t</em> expand the <code>#define</code>s! Rather, decipher what they do.
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Some of them are mere obfuscation fodder, put in to encourage
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you to run it through CPP.</p>
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<h3 id="what-it-doesnt-do-quite-right-as-an-emulator">What it doesn’t do quite right as an emulator</h3>
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<p>Because of the definitional constraints, calls to <code>atoi(argv[#])</code> also appear
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inside the loop. These could be put outside–the initial values of the
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“registers” on the AE–but the macro conventions being used didn’t lend
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themselves to it.</p>
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<h3 id="theoretical-observations">Theoretical observations</h3>
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<p>The simulated comparison operations only work with a certain range of numbers;
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numbers that are too large will cause the output code to fail to simulate the
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input code. This means that this implementation of <code>buzzard.1</code> would not be
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Turing-complete, even if the AE could process indefinitely-sized numbers.
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However, this is actually a constraint that no actual computer can meet, either,
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so we can conclude that if an AE, with card bins connected as suggested above,
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were hooked up to a memory unit of sufficient size, it would be as Turing
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complete as any existing machine (or, for those who interpret that excessively
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critically, i.e. “not at all” for both, we can simply say that the AE could
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simulate any existing machine–although not quickly). This would be a good
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place to site some references on the AE, but I don’t have any.</p>
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<h3 id="definition-of-the-input-language-to-buzzard.1-or-what-exactly-do-all-the-macros-do">Definition of the input language to buzzard.1 (OR What Exactly Do All The Macros Do?)</h3>
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<p>[Don’t read this unless you’re stumped!]</p>
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<pre><code>
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MACRO FUNCTION MNEMONIC
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V begin variable declarations Variable
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C begin program Code
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Q(b,a) let b = a eQuals
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A(c,a,b) let c = a + b Add
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S(c,a,b) let c = a - b Subtract
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D(c,a,b) let c = a / b, where b is a *constant* Divide
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U(c,a,b) let c = a / b, where b is anything Unknown
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M(c,a,b) let c = a * b Multiply
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O(c,a,b) let c = a boolean-or b (a,b are 0 or 1) Or
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B(b, a) let b = boolean value of a Boolean
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P(b, a) let b = 1 if a>0, else 0. Positive
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l emit next sequential label Label
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J(x) goto label #x Jump
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Z(a,d) if a is 0 goto d (a is 0 or 1) Zero
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E(a,d) if a is 1 goto d (a is 0 or 1) Else
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H halt Haly
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K(x) let x = number of cmd line arguments Kount
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G(x,y) let x = the value if the yth argument Get argument
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T end of code; begin output section Terminate
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X(y) print out hexadecimal value of y heXadecimal
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T end of output section and program Terminate</code></pre>
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<p>You can figure out the other macros yourself. In the sample program, I’ve
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actually implemented subroutines by saving a return address in a variable and
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then jumping to a routine– specifically, a routine that converts a number into
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BCD, so it can be output by the hexadecimal output statement.</p>
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<h3 id="how-it-works-i.e.-how-to-get-useful-programs-from-a-op-b">How it works, i.e., how to get useful programs from a op= b</h3>
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<p>The essential statement to be able to make interesting
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programs is the conditional (given that we have loops).
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Since all you can do in the given operation output set is
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assignment, we implement “conditional assignment”:</p>
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<div class="sourceCode" id="cb9"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a><span class="cf">if</span> <span class="op">(</span>x<span class="op">)</span> y <span class="op">=</span> z<span class="op">;</span></span></code></pre></div>
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<p>To implement this, we constrain <code>x</code> to be either 0 or 1, and
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simply compute:</p>
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<div class="sourceCode" id="cb10"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a>y <span class="op">=</span> <span class="op">(</span>z <span class="op">*</span> x<span class="op">)</span> <span class="op">+</span> <span class="op">(</span>y <span class="op">*</span> <span class="op">(</span><span class="dv">1</span><span class="op">-</span>x<span class="op">));</span></span></code></pre></div>
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<p>This is more obscured by factoring out common terms and restricting
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ourselves to two operand operations:</p>
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<div class="sourceCode" id="cb11"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true" tabindex="-1"></a>temp <span class="op">=</span> z<span class="op">;</span> <span class="op">(</span>temp <span class="op">==</span> z<span class="op">)</span></span>
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<span id="cb11-2"><a href="#cb11-2" aria-hidden="true" tabindex="-1"></a>temp <span class="op">-=</span> y<span class="op">;</span> <span class="op">(</span>temp <span class="op">==</span> z<span class="op">-</span>y<span class="op">)</span></span>
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||
<span id="cb11-3"><a href="#cb11-3" aria-hidden="true" tabindex="-1"></a>temp <span class="op">*=</span> x<span class="op">;</span> <span class="op">(</span>temp <span class="op">==</span> <span class="op">(</span>z<span class="op">-</span>y<span class="op">)*</span>x<span class="op">)</span></span>
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||
<span id="cb11-4"><a href="#cb11-4" aria-hidden="true" tabindex="-1"></a>y <span class="op">+=</span> temp<span class="op">;</span> <span class="op">(</span>y <span class="op">==</span> <span class="op">(</span>z<span class="op">-</span>y<span class="op">)*</span>x <span class="op">+</span> y<span class="op">)</span></span>
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<span id="cb11-5"><a href="#cb11-5" aria-hidden="true" tabindex="-1"></a> <span class="op">(</span> <span class="op">==</span> z<span class="op">*</span>x <span class="op">-</span> y<span class="op">*</span>x <span class="op">+</span> y<span class="op">)</span></span>
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<span id="cb11-6"><a href="#cb11-6" aria-hidden="true" tabindex="-1"></a> <span class="op">(</span> <span class="op">==</span> z<span class="op">*</span>x <span class="op">+</span> y<span class="op">*(</span><span class="dv">1</span><span class="op">-</span>x<span class="op">))</span></span></code></pre></div>
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<p>Next we imagine we have a <a href="https://en.wikipedia.org/wiki/Program_counter">pc</a>.
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“I’m supposed to execute statement pc next”, says our emulator. But suppose
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we’re not currently coming up on statement pc. To handle this, we simply make
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every operation conditional on the pc having the correct value:</p>
|
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<div class="sourceCode" id="cb12"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb12-1"><a href="#cb12-1" aria-hidden="true" tabindex="-1"></a><span class="cf">if</span> <span class="op">(</span>pc <span class="op">==</span> some_constant<span class="op">)</span> y <span class="op">=</span> z<span class="op">;</span></span></code></pre></div>
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<p>To combine this with other operations, we simply multiply by our
|
||
(<code>pc == some_constant</code>) flag right after the above <code>temp *= x</code>.</p>
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<p>To evaluate <code>pc == some_constant</code> requires one more trick. We assume that
|
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numbers can only be in some limited range. Then we use successive additions and
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divisions to reduce that number down to <code>-1</code>, <code>0</code>, or <code>1</code>. You could, for
|
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instance, do this by using mod by <code>2</code> and div by <code>2</code> to count bits, stopping
|
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after, say, <code>32</code> iterations. The number you get is between <code>0..32</code>, so another
|
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<code>6</code> iterations on it reduces it to <code>0..6</code>. Three iterations on this produces
|
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<code>0..2</code> (<code>3</code> would be <code>7</code>), and then two iterations on this produces 0 or 1.
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Instead I use a shorter two-divide approach that assumes I’m allowed to use
|
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numbers slightly larger than the numbers I’m operating on.</p>
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<p>A similar approach is used to detect positive numbers.</p>
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<p>Note that the obvious code to compute <code>y/x</code> will not work correctly,
|
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because every value is computed, even if the pc is not set correctly;
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if <code>x</code> is ever <code>0</code> when the real C code reaches this computation the
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program will die. (This was discovered the hard way.) The solution
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is to stick <code>x</code> in a temporary, and if the current code is not about
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to be executed, set the temporary to <code>1</code>.</p>
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<p>Thanks to Bill Pugh for bringing the loop-ability of the AE to
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my attention.</p>
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<p><code>buzzard.1</code> was originally named ‘cb’, for obvious reasons, and is
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dedicated to the memory of Charles Barrett.</p>
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Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.
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You are free to share and adapt this file under the terms of this license:
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Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
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For more information, see:
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https://creativecommons.org/licenses/by-sa/4.0/
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<h1 id="inventory-for-1992buzzard.1"><a name="inventory"></a>Inventory for 1992/buzzard.1</h1>
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<p><a href="#top">Jump to top</a></p>
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<h2 id="primary-files">Primary files</h2>
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<ul>
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||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/buzzard.1.c">buzzard.1.c</a> - entry source</li>
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||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/Makefile">Makefile</a> - entry Makefile</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/buzzard.1.orig.c">buzzard.1.orig.c</a> - original source</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/try.sh">try.sh</a> - how to run</li>
|
||
<li><a href="1992_buzzard.1.tar.bz2">1992_buzzard.1.tar.bz2</a> - download entry</li>
|
||
</ul>
|
||
<h2 id="secondary-files">Secondary files</h2>
|
||
<ul>
|
||
<li><a href="index.html">index.html</a> - entry home page</li>
|
||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/README.md">README.md</a> - markdown source for index.html</li>
|
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<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/.entry.json">.entry.json</a> - description of entry in JSON</li>
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||
<li><a href="https://github.com/ioccc-src/temp-test-ioccc/blob/master/1992/buzzard.1/.gitignore">.gitignore</a> - list of files that should not be committed under git</li>
|
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<li><a href=".path">.path</a> - directory path from top directory</li>
|
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</ul>
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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)
|
||
|
||
For more information, see:
|
||
|
||
https://creativecommons.org/licenses/by-sa/4.0/
|
||
|
||
-->
|
||
|
||
<div class="footer">
|
||
<h2>Copyright and CC BY-SA 4.0 License</h2>
|
||
<p>This file and web page is:</p>
|
||
<blockquote><b>Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.</b></p></blockquote>
|
||
<p>You are free to share and adapt this file under the terms of this license:</p>
|
||
<blockquote><b>Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)</b></blockquote>
|
||
<p>For more information, see:</p>
|
||
<blockquote><a
|
||
href="https://creativecommons.org/licenses/by-sa/4.0/">https://creativecommons.org/licenses/by-sa/4.0/</a></blockquote>
|
||
<h2>Coda</h2>
|
||
<p><a href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fioccc-src.github.io%2Ftemp-test-ioccc%2F1992%2Fbuzzard.1%2Findex.html">Nu HTML check this web page</a></p>
|
||
<p><a href="#top">Jump to top</a> <a href="#content">Jump to Content</a> <a href="#inventory">Jump to Inventory</a></p>
|
||
</div>
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</body>
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</html>
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