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@@ -1,805 +0,0 @@
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<html>
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<head>
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<meta name="GENERATOR" content="mkd2html 2.1.5a DL=DISCOUNT">
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<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=utf-8">
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<link rel="stylesheet"
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type="text/css"
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href="../hint.css">
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<title>Best Documented</title>
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</head>
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<body>
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<h1>Best Documented</h1>
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<p>Jens Schweikhardt<br>
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<a href="http://www.schweikhardt.net">http://www.schweikhardt.net</a></p>
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<h2>Judges' comments:</h2>
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<h3>To use:</h3>
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<pre><code>make
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./prog n
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where n is a base 16 number of any size
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</code></pre>
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<h3>Try:</h3>
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<pre><code>./prog 19
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</code></pre>
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<h3>Selected Judges Remarks:</h3>
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<p>This code is clean. When you compile with all warnings enabled,
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such as with clang:</p>
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<p> cc -Weverything -pedantic -std=c11 -Dtyp=uint64_t -O3 prog.c -o prog</p>
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<p>The code compiles without warnings on the systems that we tested!</p>
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<p>Even more, the code was 100% clean when we ran it against various
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static source checkers.</p>
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<p>This tool references a problem that David I. Bell once described
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as having one of the largest “yummo quotients” in number theory:</p>
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<pre><code> complexity of the solution
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yummo quotient = -----------------------------------
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complexity of the problem statement
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</code></pre>
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<p>Erdős privately told one of the IOCCC judges:</p>
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<p>“Solving the <a href="https://en.wikipedia.org/wiki/Generalized_Riemann_hypothesis#Extended_Riemann_hypothesis_.28ERH.29">Generalized Riemann hypothesis</a>
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would be a good warmup exercise for someone to get ready
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to begin to work on the <a href="https://en.wikipedia.org/wiki/Collatz_conjecture">Collatz conjecture</a>.”</p>
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<p>You may explore this famous conjecture using this entry:</p>
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<pre><code>./prog 2410
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./prog abfff
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./prog 27f8cebf
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./prog 246f8fddf
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./prog 2e95ab51ffea9de
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./prog e6a5c22fd7bde9f
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./prog 1b7dd73a937485bf
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./prog 7d3237680d190a77e53751b
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./prog 302ab3d052fb87c06228d249581be0e4
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</code></pre>
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<p>When you first look at the source, the code looks fairly straightforward.
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But look again. Like the Collatz conjecture, simplicity is deceptive!
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Oh, and the variable names? They are not simple single letter variables,
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they are names of various <a href="https://en.wikipedia.org/wiki/Proteinogenic_amino_acid">Proteinogenic amino
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acid</a>:
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which is yet another simple building block that can be used to
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build some very complex structures. :-)</p>
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<p>p.s. We appreciated that apart from a few powers of 2, the source
|
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code is magic number free.</p>
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<h2>Author’s comments:</h2>
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<h2>The TL;DR version</h2>
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<p>This is the cleanest program ever submitted. If for some input it enters
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a non-terminating loop or runs out of memory you will be insta-famous.
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It’s a bit like a lottery without the need to buy a ticket and you can
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play as often as you like. One notable historic person has even offered
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some prize money.</p>
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<p>The program illustrates the bloat caused by adherence to too many rules,
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each of which may sound sane in isolation, but in their entirety lead to
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an obfuscated, hard to read and understand monster.</p>
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<h2>What this program does.</h2>
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<p>The program tests whether a given natural number satisfies the
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<a href="https://en.wikipedia.org/wiki/Collatz_conjecture">Collatz Conjecture</a>:</p>
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<p>Take any natural number <em>n</em>. If <em>n</em> is even, divide it by 2 to get <em>n</em>/2.
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If <em>n</em> is odd, multiply it by 3 and add 1 to obtain 3<em>n</em> + 1.
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Repeat the process indefinitely.
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The conjecture is that no matter what number you start with,
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you eventually reach 1.</p>
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<p>Paul Erdős said about the Collatz conjecture:
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“Mathematics may not be ready for such problems.”
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He also offered $500 for its solution.</p>
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<p>For example, the sequence of numbers for <em>n</em> = 6 is</p>
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<blockquote><p> 6, 3, 10, 5, 16, 8, 4, 2, 1.</p></blockquote>
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|
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<p>Continuing past one leads to the <em>cycle</em> 1, 4, 2, 1, 4, 2, 1, …
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Interesting factoid: if you allow <em>negative</em> start values, there are
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a few more cycles, each of different length:</p>
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<blockquote><p> −1, −2, −1</p>
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<p> −5, −14, −7, −20, −10, −5</p>
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<p> −17, −50, −25, −74, −37, −110, −55, −164, −82, −41, −122, −61, −182, −91, −272, −136, −68, −34, −17</p></blockquote>
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<p>The program computes the sequence for a given positive natural number
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and stops at 1. The number <em>n</em> is specified in hexadecimal (without 0x
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prefix) as the first argument. The program prints the given number in
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zero-padded hex and each iteration along with a line count in decimal.
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The example above looks like this (compiled with 64 bit word size):</p>
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<pre><code>$ ./prog 6
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0000000000000006
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0000000000000003 1
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000000000000000A 2
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0000000000000005 3
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0000000000000010 4
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0000000000000008 5
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0000000000000004 6
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0000000000000002 7
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0000000000000001 8
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</code></pre>
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<p>The size of <em>n</em> is only limited by the argument size limit of your
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shell/OS (the program implements arbitrary size bignums).
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To query this on your POSIX system, run</p>
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<pre><code>$ getconf ARG_MAX
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262144
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</code></pre>
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<p>which reports the limit in bytes, here 256KB. This allows to test
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whether a <a href="https://en.wikipedia.org/wiki/Googol">Googol</a>, which is
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10<sup>100</sup>, satisfies the conjecture. But what is a googol in hex?
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Fear not,
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<a href="http://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html">bc(1)</a>
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||||
to the rescue:</p>
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<pre><code>$ printf 'obase=16;10^100\n' | bc
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1249AD2594C37CEB0B2784C4CE0BF38ACE408E211A7CAAB24308A82E8F1000000000\
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0000000000000000
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$ ./prog 1249AD2594C37CEB0B2784C4CE0BF38ACE408E211A7CAAB24308A82E8F10000000000000000000000000 \
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| less
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[...]
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</code></pre>
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<p>Observe how the first 100 iterations melt the zeros to the right. Can you explain
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why?</p>
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<p>For a given <em>n</em> the program behavior is one of the following 3:</p>
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<ol>
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<li>The sequence stops at 1. No fame. No money. Thanks for playing. Computational
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mathematicians have tested all <em>n</em> < 4FFDD776055A0000 (~10<sup>18</sup>)
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so don’t try anything less than that.</li>
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<li>The chosen <em>n</em> leads to a sequence with ever bigger numbers,
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so that eventually the bignum cannot be stored in memory. If this happens,
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the program outputs <code>laugh</code> (more likely) or <code>throw up</code> (less likely) and
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stops. You <em>might</em> have found
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a number for which the sequence <em>diverges</em>. If confirmed, this disproves the
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conjecture.</li>
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<li>The chosen <em>n</em> leads to a cycle not including 1 (i.e. runs forever,
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||||
repeating the same sequence over and over). You have disproved the
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||||
conjecture and should certainly submit a paper to the nearest
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mathematical journal.</li>
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||||
</ol>
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||||
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<h2>Design objectives</h2>
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<p>I gave myself the following objectives. Like in real world programming,
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not all of them can be met 100%. Think of them as a multidimensional
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continuum, where trade-offs have to be made.</p>
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||||
|
||||
<ol>
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<li>No arbitrary limits on the input number. 64 bits might be enough
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for everybody, but is not enough for exploring new Collatz-territory.
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Thus bignums are required.</li>
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<li>Ultra-portable. Must run on C89 systems and self-adapt to C99 and C11
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features like exact width types.</li>
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<li>Super-efficient. Must be able to run with the widest type as the
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base of the bignums. Make the user select the widest type supported
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by the implementation and then crunch away. If a non-standard
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128bit type is available, it should be usable.</li>
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<li>Pentagon level lint cleanliness and MISRA compliance.</li>
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<li>Easy to understand, self-documenting clear code. A joy for maintenance
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||||
programmers. The epitome of best practice demonstration for all
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||||
future textbooks on C.</li>
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||||
</ol>
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||||
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||||
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||||
<h1>Program Obfuscation</h1>
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||||
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<p>In the following I address all the <em>tests</em> as specified by your honors in the
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<em>guidelines</em>.</p>
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||||
<ul>
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||||
<li>look at the original source</li>
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||||
<li>convert ANSI tri-graphs to ASCII</li>
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||||
<li>C pre-process the source ignoring <code>#include</code> lines</li>
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||||
<li>C pre-process the source ignoring <code>#define</code> and <code>#include</code> lines</li>
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||||
<li>run it through a C beautifier</li>
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||||
<li>examine the algorithm</li>
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||||
<li>compile it (with flags to enable all warnings)</li>
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||||
<li>execute it</li>
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||||
</ul>
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||||
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||||
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||||
<h2>Look at the original source</h2>
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||||
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||||
<p>Using one letter identifiers is quite old. I decided to use TLI (three
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letter identifiers). Not the random kind, rather with a connection to
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the meaning of life, the universe and the rest. Enter amino acids! Among
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the myriad of possible amino acids there are 23 from which proteins are
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built. In biochemistry, each is assigned a TLI (see <a href="https://en.wikipedia.org/wiki/Proteinogenic_amino_acid">Proteinogenic amino
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||||
acid</a>):</p>
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<pre><code>ala Alanine
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cys Cysteine
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asp Aspartic acid
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glu Glutamic acid
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phe Phenylalanine
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gly Glycine
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his Histidine
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ile Isoleucine
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lys Lysine
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leu Leucine
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met Methionine
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asn Asparagine
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pyl Pyrrolysine
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pro Proline
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gln Glutamine
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arg Arginine
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ser Serine
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thr Threonine
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sec Selenocysteine
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val Valine
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trp Tryptophan
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tyr Tyrosine
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asx Asparagine or Aspartic acid
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glx Glutamic acid or Glutamine
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xle Leucine or Isoleucine
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unk Unknown
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</code></pre>
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<p>My own research results complete this list (not yet in Wikipedia due to
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the rule “<a href="https://en.wikipedia.org/wiki/Wikipedia:No_original_research">No original
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research</a>”):</p>
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<pre><code>and Androgynine
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xor Xenoricine
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not Notanamine
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tla Triletramine
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</code></pre>
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<p>Interestingly, the TLI are the perfect mnemonics for C language source.
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For example, <code>met</code> is “Main’s Exit Type” (<code>int</code>), <code>ala</code> is “A Large
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Algebraic” (bignum), <code>ile</code> an “Incremented Local Entity” (index
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counter), <code>gly</code> means “Grow Larger memorY”, <code>gln</code> is “Grown Larger Now”
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(after realloc), <code>not</code> is a “Not Overflowing Type” (recursive!), <code>unk</code>
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is the “UNit (Known as 1)”, <code>trp</code> is the “Tabula Rasa Product” (zero),
|
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<code>phe</code> is “Print HEx” and so on.</p>
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<h2>Convert ANSI tri-graphs to ASCII</h2>
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<p>Huh??!</p>
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<h2>C pre-process the source ignoring ‘#include’ lines</h2>
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||||
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<p>Wow, an identity operation (except for the <code><stdint.h></code> and <code>EOF + __STDC__</code>
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trivialities). Did you gain any insight through this?</p>
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||||
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<h2>C pre-process the source ignoring ‘#define’ and ‘#include’ lines</h2>
|
||||
|
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<p><code>#define</code>? Which <code>#define</code> directives? How many 4K source files do you
|
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see that neither use a single <code>#define</code> directive <em>nor</em> abuse the build
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||||
file? Even though the “no <code>#define</code>” rule I submitted myself to made it
|
||||
hard, I could use <code>__LINE__</code> and stdio macros <code>EOF</code>, <code>L_tmpnam</code>,
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<code>BUFSIZ</code>, <code>FILENAME_MAX</code>, <code>TMP_MAX</code> to obfuscate at least something.</p>
|
||||
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<h2>Run it through a C beautifier</h2>
|
||||
|
||||
<p>Another identity operation. I’ve done it for you already. Use this
|
||||
<code>.indent.pro</code> with FreeBSD indent:</p>
|
||||
|
||||
<pre><code>$ cat .indent.pro
|
||||
-bad /* blank line after decls */
|
||||
-bap /* blank line after functions */
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||||
-br /* braces on if line */
|
||||
-i8 /* indent */
|
||||
-l999 /* line length */
|
||||
-npcs /* no space after function call names */
|
||||
-npsl /* don't break procedure type */
|
||||
-ut /* use tabs */
|
||||
-ce /* cuddle else */
|
||||
-nip /* no parameter indentation */
|
||||
-di1 /* declaration indent */
|
||||
-Tand
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||||
-Tmet
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||||
-Tthr
|
||||
-Tpro
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||||
-Tser
|
||||
-Tala
|
||||
</code></pre>
|
||||
|
||||
<p>It looks like a perfect program should:</p>
|
||||
|
||||
<ul>
|
||||
<li> two and a half <code>#includes</code> of unsuspicious standard headers</li>
|
||||
<li> followed by self protection against goofy implementations</li>
|
||||
<li> followed by a handful of <code>typedef</code>s</li>
|
||||
<li> and a pair of file scope objects by necessity</li>
|
||||
<li> prototypes! With parameter names! <code>static</code> for internal linkage even! This <strong>must</strong> be a first in IOCCC history.</li>
|
||||
<li> function definitions, <code>main</code> last</li>
|
||||
<li> everything is fully const-poisoned: automatics, statics, arguments, even <code>main</code></li>
|
||||
<li> everything is fully curly braced, even single statements</li>
|
||||
<li> plenty of meaningful TLC (Three Letter Comments)</li>
|
||||
</ul>
|
||||
|
||||
|
||||
<p>The program contains not a single <em>magic number</em> (only 0 and powers of
|
||||
2, each power from 1 to 512) which are obvious to competent software
|
||||
engineers). How many programs have <em>that</em> property? The check for
|
||||
<code>__STDC_VERSION__</code> was a bit tough to arrive at, since 199901L has too
|
||||
many bits set. But I realized that I only needed a number larger than
|
||||
199409 and less than 199901. 199680 has only 4 bits set and writing it
|
||||
as (256 + 128 + 4 + 2) * 512 minimizes the character count. That’s what
|
||||
judges get when they don’t like programs that are longer than they need
|
||||
to be.</p>
|
||||
|
||||
<h2>Examine the algorithm</h2>
|
||||
|
||||
<p>Spoilers ahead. Duh!</p>
|
||||
|
||||
<p>Pseudocode, with comments matching those in the C source:</p>
|
||||
|
||||
<pre><code>/* run */
|
||||
if (non-NULL and nonempty argv[1]) {
|
||||
n = convert(argv[1])
|
||||
print n /* 2hx */
|
||||
while (n != 1) { /* one */
|
||||
if (n is odd) { /* odd */
|
||||
m = deep copy of n /* cpy */
|
||||
n <<= 1 /* shl */
|
||||
n += m /* add */
|
||||
increment n /* inc */
|
||||
} else { /* eve */
|
||||
n >>= 1 /* shr */
|
||||
}
|
||||
print n /* 2hx */
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<p>Bignums are represented as the two member structs</p>
|
||||
|
||||
<pre><code>typedef struct {
|
||||
size_t places; /* number of places in base 2<sup>8*sizeof(type)</sup> */
|
||||
type *number; /* dynamically allocated memory for number */
|
||||
} bignum
|
||||
</code></pre>
|
||||
|
||||
<h2>Compile it (with flags to enable all warnings)</h2>
|
||||
|
||||
<p>Here’s where the program shines brighter than a <a href="https://en.wikipedia.org/wiki/Gamma-ray_burst">gamma-ray
|
||||
burst</a>!</p>
|
||||
|
||||
<p>I challenge you to throw all kinds of compilers, lints, checkers and
|
||||
analyzers at my program and make it find the slightest of issues.</p>
|
||||
|
||||
<p>Is <code>clang -Wall -Wextra -Weverything -Dtyp=uint32_t prog.c</code> all you can
|
||||
do? Clang has implemented a new warning? Bring it on!</p>
|
||||
|
||||
<h2>Execute it</h2>
|
||||
|
||||
<p>May you win the jackpot!</p>
|
||||
|
||||
<p>For least surprising results, the execution character set should be
|
||||
ASCII. The program computes four bits from every character in <code>argv[1]</code> and
|
||||
interprets them as a hex digit. On ASCII the characters a-f, A-F and 0-9
|
||||
are converted as expected.</p>
|
||||
|
||||
<p>This means however, that the program accepts <strong>any string</strong>, turns it
|
||||
into a starting number (which is output as the first line), and starts
|
||||
crunching. Nothing stops you from executing</p>
|
||||
|
||||
<pre><code>$ ./prog "$(cat prog.c)" # Kind of quine?
|
||||
$ ./prog "$(cat rules guidelines)" # A jackpot? Maybe next year...
|
||||
$ ./prog "$(cat /bin/ls)" # Number cut short at first NUL byte.
|
||||
</code></pre>
|
||||
|
||||
<p>In a certain way, the program is character set and encoding agnostic.</p>
|
||||
|
||||
<h2>Assumptions made</h2>
|
||||
|
||||
<ul>
|
||||
<li>The <code>EOF</code> macro from <code><stdio.h></code> must expand to negative one since it is used
|
||||
to decrement a pointer and do some other math.
|
||||
None of the tools catches this one. The program self-protects against unusual
|
||||
systems with <code>#if EOF + __STDC__</code> followed by <code>#error goofy!</code>. In the rare event
|
||||
your system is goofy, replace all <code>EOF</code> tokens with <code>(-1)</code> and remove the
|
||||
<code>#error</code> directive.</li>
|
||||
</ul>
|
||||
|
||||
|
||||
<p>While the program works best when bytes/characters are octets and the
|
||||
number of bits in a type is <code>sizeof(typ) << 3</code>, it will work correctly
|
||||
on 24bit or 36bit systems with 9 bits/byte, or systems where
|
||||
<code>sizeof(typ)</code> is 1 even for <code>int</code> and so on. On such systems, it will only
|
||||
use 8 * <code>sizeof(typ)</code> bits per place. It does not work when <code>CHAR_BIT <= 7</code>.</p>
|
||||
|
||||
<h2>Results of various checkers</h2>
|
||||
|
||||
<h3>cppcheck</h3>
|
||||
|
||||
<p>The open source static checker <a href="http://cppcheck.sourceforge.net/">cppcheck</a>
|
||||
checks various problems with respect to style, performance, portability
|
||||
and general fishiness. To enable all checks, run</p>
|
||||
|
||||
<pre><code>$ cppcheck --enable=all --force -I/usr/include -Dtyp=uint32_t prog.c
|
||||
</code></pre>
|
||||
|
||||
<p>No issues found.</p>
|
||||
|
||||
<h3>flawfinder</h3>
|
||||
|
||||
<p>The open source static checker <a href="http://www.dwheeler.com/flawfinder/">flawfinder</a>
|
||||
checks various problems with respect to security like buffer overflows,
|
||||
function arguments to known troublemaker functions and more. It doesn’t need to
|
||||
pre-process code, so can be run without the <code>typ</code> macro being defined:</p>
|
||||
|
||||
<pre><code>$ flawfinder prog.c
|
||||
Flawfinder version 1.31, (C) 2001-2014 David A. Wheeler.
|
||||
Number of rules (primarily dangerous function names) in C/C++ ruleset: 169
|
||||
Examining prog.c
|
||||
FINAL RESULTS:
|
||||
ANALYSIS SUMMARY:
|
||||
No hits found.
|
||||
$
|
||||
</code></pre>
|
||||
|
||||
<h3>valgrind</h3>
|
||||
|
||||
<p>The open source dynamic checker <a href="http://valgrind.org/">valgrind</a>
|
||||
runs an executable and verifies all memory accesses and (de)allocations for
|
||||
proper bounds and memory leaks.
|
||||
Since the program frees all memory in all possible execution paths, even when
|
||||
it must bail out,
|
||||
valgrind should be happy. An early version of my program however reported this:</p>
|
||||
|
||||
<pre><code>$ valgrind --leak-check=full --show-leak-kinds=all ./prog 6
|
||||
[...]
|
||||
==14615== HEAP SUMMARY:
|
||||
==14615== in use at exit: 4,096 bytes in 1 blocks
|
||||
==14615== total heap usage: 4 allocs, 3 frees, 4,108 bytes allocated
|
||||
==14615==
|
||||
==14615== 4,096 bytes in 1 blocks are still reachable in loss record 1 of 1
|
||||
==14615== at 0x4C236C0: malloc (in /usr/local/lib/valgrind/vgpreload_memcheck-amd64-freebsd.so)
|
||||
==14615== by 0x4F62175: ??? (in /lib/libc.so.7)
|
||||
==14615== by 0x4F62073: ??? (in /lib/libc.so.7)
|
||||
==14615== by 0x4F514EE: ??? (in /lib/libc.so.7)
|
||||
==14615== by 0x4F51265: vfprintf_l (in /lib/libc.so.7)
|
||||
==14615== by 0x4F3E001: printf (in /lib/libc.so.7)
|
||||
==14615== by 0x40101E: phe (in ./prog)
|
||||
==14615== by 0x400A9F: main (in ./prog)
|
||||
==14615==
|
||||
==14615== LEAK SUMMARY:
|
||||
==14615== definitely lost: 0 bytes in 0 blocks
|
||||
==14615== indirectly lost: 0 bytes in 0 blocks
|
||||
==14615== possibly lost: 0 bytes in 0 blocks
|
||||
==14615== still reachable: 4,096 bytes in 1 blocks
|
||||
==14615== suppressed: 0 bytes in 0 blocks
|
||||
==14615==
|
||||
==14615== For counts of detected and suppressed errors, rerun with: -v
|
||||
==14615== ERROR SUMMARY: 0 errors from 0 contexts (suppressed: 0 from 0)
|
||||
</code></pre>
|
||||
|
||||
<p>From which I concluded that <code>printf</code> allocated a single 4K block for
|
||||
which no matching free existed. But how to free memory allocated deep
|
||||
down in the guts of the Standard I/O library? After some serious head
|
||||
scratching it hit me. The only chance I have is telling the system I no
|
||||
longer want to do I/O, maybe then it would free that buffer. A reading
|
||||
of C99 7.19.5.1, “The fclose function”, was encouraging:</p>
|
||||
|
||||
<blockquote><p> Whether or not the call succeeds, the stream is disassociated from the file
|
||||
and any buffer set by the <code>setbuf</code> or <code>setvbuf</code> function is disassociated from the stream
|
||||
(and deallocated if it was automatically allocated).</p></blockquote>
|
||||
|
||||
<p>So I <code>fclose(stdout)</code> before returning and now:</p>
|
||||
|
||||
<pre><code>$ valgrind --leak-check=full --show-leak-kinds=all ./prog 6
|
||||
==14571== Memcheck, a memory error detector
|
||||
==14571== Copyright (C) 2002-2013, and GNU GPL'd, by Julian Seward et al.
|
||||
==14571== Using Valgrind-3.10.0 and LibVEX; rerun with -h for copyright info
|
||||
==14571== Command: ./prog 6
|
||||
==14571==
|
||||
0000000000000006
|
||||
0000000000000003 1
|
||||
000000000000000A 2
|
||||
0000000000000005 3
|
||||
0000000000000010 4
|
||||
0000000000000008 5
|
||||
0000000000000004 6
|
||||
0000000000000002 7
|
||||
0000000000000001 8
|
||||
==14571==
|
||||
==14571== HEAP SUMMARY:
|
||||
==14571== in use at exit: 0 bytes in 0 blocks
|
||||
==14571== total heap usage: 4 allocs, 4 frees, 4,120 bytes allocated
|
||||
==14571==
|
||||
==14571== All heap blocks were freed -- no leaks are possible
|
||||
==14571==
|
||||
==14571== For counts of detected and suppressed errors, rerun with: -v
|
||||
==14571== ERROR SUMMARY: 0 errors from 0 contexts (suppressed: 0 from 0)
|
||||
</code></pre>
|
||||
|
||||
<p>A squeaky clean valgrind result!</p>
|
||||
|
||||
<h3>FlexeLint</h3>
|
||||
|
||||
<p>FlexeLint is a commercial lint tool by <a href="http://www.gimpel.com/html/index.htm">Gimpel
|
||||
Software</a>. It supports nearly a
|
||||
thousand checks, broadly categorized into 4 levels,</p>
|
||||
|
||||
<ol>
|
||||
<li> Syntax errors only (messages 1 to 399)</li>
|
||||
<li> Warnings (messages 400 to 699)</li>
|
||||
<li> Informational messages (700 to 899)</li>
|
||||
<li> Elective notes (900 to 1000 and > 9000)</li>
|
||||
</ol>
|
||||
|
||||
|
||||
<p>There is an <a href="http://www.gimpel-online.com/OnlineTesting.html">on-line
|
||||
demonstrator</a> you can
|
||||
use for checking your C programs and I highly recommend trying it. For a start,
|
||||
paste the well know first program in the form and press “Analyze Code”. Note
|
||||
the FlexeLint configuration options in comments (no space between <code>/*</code> and <code>lint</code>).</p>
|
||||
|
||||
<pre><code>/*lint -w4 turn on everything */
|
||||
/*lint +esym(534,*) no demonstrator defaults */
|
||||
/*lint -e966 indirectly included header file not used */
|
||||
/*lint -esym(9058,_*) tag not used outside typedef */
|
||||
/*lint -misra(2) */
|
||||
|
||||
#include <stdio.h>
|
||||
int main(void)
|
||||
{
|
||||
printf("hello, world\n");
|
||||
return 0;
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<p>Possible checks include those for MISRA 2004 compliance verification.
|
||||
The <a href="https://en.wikipedia.org/wiki/Motor_Industry_Software_Reliability_Association">Motor Industry Software Reliability
|
||||
Association</a>
|
||||
has produced a <a href="http://doc.hcc-embedded.com/display/CODING/MISRA+Rules">list of 121 required and 20 advisory
|
||||
rules</a> for C
|
||||
programming. I am proud to report that my program fulfills <em>almost all</em>
|
||||
rules. To assess the few exceptions, one has to understand that MISRA
|
||||
rules are geared towards embedded systems used in the automotive
|
||||
industry. That’s why features like <code>malloc</code> and <code>printf</code> are right out.
|
||||
But that’s too restrictive for an IOCCC hosted application, so I ignored
|
||||
these:</p>
|
||||
|
||||
<ul>
|
||||
<li>17.1 Pointer arithmetic shall only be applied to pointers that address an array or array element.</li>
|
||||
<li>17.4 Array indexing shall be the only allowed form of pointer arithmetic.</li>
|
||||
<li>20.4 Dynamic heap memory allocation shall not be used.</li>
|
||||
<li>20.9 The input/output library stdio.h shall not be used in production code.</li>
|
||||
<li>20.11 The functions abort, exit, getenv, and system from the library stdlib.h shall not be used.</li>
|
||||
</ul>
|
||||
|
||||
|
||||
<p>I started out with enabling <em>all</em> messages using FlexeLint’s <code>-w4</code>
|
||||
option and disabling all noise from system headers. Then I dealt with
|
||||
the remaining messages by addressing them or suppressing them in such a way
|
||||
that the set of suppressions was minimal. At the end of the day, this is
|
||||
what remained:</p>
|
||||
|
||||
<pre><code>// === Tested with FlexeLint 9.00L on FreeBSD 11 ===
|
||||
// Compiler:
|
||||
// "4.2.1 Compatible FreeBSD Clang 3.6.1 (tags/RELEASE_361/final 237755)"
|
||||
|
||||
-w4 // Enable maximum pickiness
|
||||
-passes(6) // Recommended in FlexeLint manual for torture testing
|
||||
+fsc // Make string literals have type const char*
|
||||
+fnr // ptr-returning functions may return NULL
|
||||
-strong(AJX,and,pro,ser,ala) // strong types
|
||||
-strong(AcJcm,thr) // thr is strong, but most arithmetic is okay
|
||||
-strong(AarJemorX,met) // met is strong, but some use is okay
|
||||
+libclass(angle) // All <headers> are system headers
|
||||
-wlib(1) // Only errors for system headers
|
||||
-i/usr/include // System headers
|
||||
-i/usr/local/lib/supp/ansi // Comes with FlexeLint
|
||||
-d__GNUC__=4 // Pretend...
|
||||
-d__GNUC_MINOR__=2 // I'm...
|
||||
-d__GNUC_PATCHLEVEL__=1 // someone else.
|
||||
-d__builtin_va_list=char* // Fake this compiler extension
|
||||
-d__inline= // Delete this compiler extension
|
||||
-d__attribute__(x)= // Delete this compiler extension
|
||||
+e900 // Announce number of messages produced
|
||||
|
||||
// MISRA 2004 checking
|
||||
|
||||
/usr/local/lib/supp/lnt/au-misra2.lnt // Enable all MISRA checking
|
||||
-elib(960) // Don't check FreeBSD system headers for required rules
|
||||
-elib(961) // Don't check FreeBSD system headers for advisory rules
|
||||
-e829 // stdio.h used
|
||||
-e522 // MISRA 14.2 Highest operation, lacks side-effects
|
||||
-esym(960,17.4) // pointer arithmetic other than array indexing used
|
||||
-e971 // char without signed/unsigned
|
||||
-e974 // stack usage report
|
||||
// Use verboten functions, Req. Rules 20.4 malloc() et al., 20.11, exit()
|
||||
-esym(586,malloc,realloc,calloc,free,exit)
|
||||
|
||||
-e911 // implicit promotion of smaller than int to int
|
||||
-e921 // cast from integral to integral
|
||||
-e925 // cast from pointer to pointer
|
||||
-e958 // padding required in struct
|
||||
|
||||
+e9??? // Enable all 9xxx informational messages, except:
|
||||
-e9079 // conversion from pointer to void to pointer to other type
|
||||
-e9087 // cast performed between a pointer to object type and a
|
||||
// pointer to a different object type
|
||||
-e9141 // global declaration of symbol
|
||||
|
||||
// Messages due to code in FreeBSD headers.
|
||||
//
|
||||
-dlint // The "lint" macro is tested in x86/_types.h
|
||||
-elib(537) // Repeated include file
|
||||
-e793 // external identifiers > 6 chars
|
||||
-e935 // (unsigned) int within struct (actually the size_t)
|
||||
-estring(960,_*) // Could be defined at block scope
|
||||
-e964 // Header file not directly used
|
||||
-e966 // Indirectly included header file not used
|
||||
-elib(970) // int outside typedef
|
||||
-esym(9003,_*) // could be defined at block scope
|
||||
-elib(9047) // FILE pointer dereferenced
|
||||
-esym(9058,__*) // tag not used outside typedef
|
||||
-e9092 // NULL does not expand to a pointer (but plain 0)
|
||||
</code></pre>
|
||||
|
||||
<h2>Compulsory obfuscations</h2>
|
||||
|
||||
<p>Which of the rules cause which obfuscation?</p>
|
||||
|
||||
<p>MISRA 6.1, “The plain char type shall be used only for the storage and
|
||||
use of character values.” This forbids using character constants in
|
||||
expressions other than assignments to <code>char</code> objects. A consequence is
|
||||
that printing digits with <code>'0' + digit</code> is not allowed (even though
|
||||
<code>'0'</code> is technically an <code>int</code>!) so I am forced to output hex digits with</p>
|
||||
|
||||
<pre><code>printf("%c", (met)tyr + 32 + 16 + ((8 + EOF) * ((met)tyr / (8 + 2))));
|
||||
</code></pre>
|
||||
|
||||
<p>because of the “no magic numbers other than powers of two” rule. How is this
|
||||
an improvement over <code>printf("%c", '0' + tyr + 7 * (tyr / 10)</code>, MISRA?</p>
|
||||
|
||||
<p>MISRA 6.3 “typedefs that indicate size and signedness should be used in
|
||||
place of the basic types.” Well, if you can’t infer the size and
|
||||
signedness from <code>typedef int met</code>, you’re not a real C programmer.</p>
|
||||
|
||||
<p>MISRA 10.5, “If the bitwise operators <code>~</code> and <code><<</code> are applied to an
|
||||
operand of underlying type <code>unsigned char</code> or <code>unsigned short</code>, the
|
||||
result shall be immediately cast to the underlying type of the operand.”
|
||||
Because the program must work for any unsigned type chosen for the <code>typ</code>
|
||||
macro, including the narrow types enumerated in the rule, a lot of
|
||||
redundant casting ensues. It gets worse with the next rule…</p>
|
||||
|
||||
<p>MISRA 12.1, “Limited dependence should be placed on the C operator
|
||||
precedence rules in expressions.” This requires parentheses for almost
|
||||
all expressions involving more than one operator, especially those for which
|
||||
a cast is required, leading to hard to understand expressions such as</p>
|
||||
|
||||
<pre><code>const ser glx = (ser)((asx > (ser)64u) ? (ser)((ser)asx + (ser)8u + (ser)1u) : (ser)asx);
|
||||
not.not[leu] = (and)((and)not.not[leu] | (and)(((and)glx % (and)16u) << (and)lys));
|
||||
</code></pre>
|
||||
|
||||
<p>MISRA 14.7, “A function shall have a single point of exit at the end of
|
||||
the function.” Sigh. Since I must use eloquent prototypes (8.1, 16.3,
|
||||
16.4) and static functions (8.10, 8.11), I can only use a few functions.
|
||||
Everything usually written with an early <code>return</code> now cause <em>another
|
||||
useless indent level</em>. The first three <code>if</code> statements in <code>main</code> cause a
|
||||
silly 24 character indent. The maximum indent is forced to 8, which is way
|
||||
too high for a sane function.</p>
|
||||
|
||||
<p>MISRA 16.10, “If a function returns error information, then that error
|
||||
information shall be tested.” A cast to void would draw a lint warning, so
|
||||
I use the <code>printf</code> result in expressions,</p>
|
||||
|
||||
<pre><code>lys -= 4 * printf("%c", (met)tyr + 32 + 16 + ((8 + EOF) * ((met)tyr / (8 + 2))));
|
||||
val += printf("\n") / ((__LINE__ * L_tmpnam) + TMP_MAX);
|
||||
val -= (printf(" %d\n", val) > BUFSIZ) ? FILENAME_MAX : EOF;
|
||||
</code></pre>
|
||||
|
||||
<p>which are, in the absence of errors, equivalent to</p>
|
||||
|
||||
<pre><code>lys -= 4;
|
||||
/*nop*/
|
||||
++val;
|
||||
</code></pre>
|
||||
|
||||
<p>MISRA 13.1, “Assignment operators shall not be used in expressions that
|
||||
yield a Boolean value.” Forbids the idiomatic <code>if ((p = malloc(n)) ==
|
||||
NULL)</code> and requires separate statements, in other words, bloat.</p>
|
||||
|
||||
<p>MISRA 16.7, “A pointer parameter in a function prototype should be
|
||||
declared as pointer to const if the pointer is not used to modify the
|
||||
addressed object.” in conjunction with lint’s “Note 952: Parameter could
|
||||
be declared const” causes const-poisoning for all functions,</p>
|
||||
|
||||
<pre><code>static void phe(const ala not);
|
||||
static void gly(ala *const not, const and his);
|
||||
met main(met val, const pro *const his[]);
|
||||
</code></pre>
|
||||
|
||||
<p>and quite a number of automatic variables.</p>
|
||||
|
||||
<h3>Why the “laugh” and “throw up” messages?</h3>
|
||||
|
||||
<p>The guidelines state “We like programs that: make us laugh and/or throw
|
||||
up :-) (humor really helps!)”</p>
|
||||
|
||||
<h3>If you have a 128 bit type</h3>
|
||||
|
||||
<p>If your compiler supports a 128 bit wide type (e.g. clang, gcc) then
|
||||
you can use it via the <code>typ</code> macro:</p>
|
||||
|
||||
<pre><code>clang -Dtyp=__uint128_t -o prog prog.c
|
||||
</code></pre>
|
||||
|
||||
<p>Indeed, the program can use (and lints clean for) all of</p>
|
||||
|
||||
<pre><code>clang -Dtyp=uint8_t -o prog8 prog.c
|
||||
clang -Dtyp=uint16_t -o prog16 prog.c
|
||||
clang -Dtyp=uint32_t -o prog32 prog.c
|
||||
clang -Dtyp=uint64_t -o prog64 prog.c
|
||||
clang -std=c89 -Dtyp="unsigned long" -o prog89 prog.c
|
||||
</code></pre>
|
||||
|
||||
<p>This works because the program has no need for corresponding <code>SCN</code> or
|
||||
<code>PRI</code> macros to do the scanning and printing of variables of these
|
||||
types. With a 128 bit type the program can represent numbers up to
|
||||
340282366920938463463374607431768211457 (3.4 * 10<sup>39</sup>) as a
|
||||
single “place”, enough to explore yet untested numbers for the rest of
|
||||
your life.</p>
|
||||
|
||||
<h3>How big a number can I test with 4 GB of RAM?</h3>
|
||||
|
||||
<p>The number of hex digits in the start number is limited by <code>ARG_MAX</code>,
|
||||
probably minus some overhead for the environment variables (use
|
||||
<a href="http://pubs.opengroup.org/onlinepubs/9699919799/utilities/env.html"><code>env</code>(1)</a>
|
||||
to trim your environment). In bits this leaves you with 2<sup>4 *
|
||||
ARG_MAX</sup>.</p>
|
||||
|
||||
<p>The algorithm requires two bignums in memory for addition.
|
||||
If you hit a divergent number, this will cause out-of-memory (“laugh”)
|
||||
somewhere near 2<sup>16,000,000,000</sup> (4GB/2 * 8bits/byte).
|
||||
Sadly, I don’t have a test case :-)</p>
|
||||
|
||||
<p>How long would it take to overflow the <em>Not Overflowing Type</em>? Lets
|
||||
assume we’re processing 2GB numbers. The program copies, shifts by one,
|
||||
adds and increments 2GB long bit strings, each time completely thrashing
|
||||
the data cache – at <em>all</em> levels. We have a fast machine that can do an
|
||||
iteration in one second, on average. To make things easy, we round up
|
||||
3<em>n</em> + 1 to 4<em>n</em>, and assume we never need to divide by two (which is
|
||||
quite optimistic). Then each iteration shifts left by 2. This would take
|
||||
8 billion seconds, or about 250 years. If you want to get famous, you
|
||||
better <em>remove</em> some of the RAM, use an ancient box, or reduce available
|
||||
memory resources with the ulimit(1) built-in of your shell.</p>
|
||||
|
||||
<p>For all intents and purposes, the <em>Not Overflowing Type</em> keeps the promise!</p>
|
||||
|
||||
<hr />
|
||||
|
||||
<TABLE><TR>
|
||||
<TD><a rel="license" href="http://creativecommons.org/licenses/by-sa/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-sa/3.0/88x31.png" /></a></TD>
|
||||
<TD><P>© Copyright 1984-2016,
|
||||
<A HREF="/judges.html">Leo Broukhis, Simon Cooper, Landon Curt Noll</A>
|
||||
- All rights reserved<BR>
|
||||
This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/3.0/">Creative Commons Attribution-ShareAlike 3.0 Unported License</a>.</P></TD>
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</TR></TABLE>
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</body>
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Reference in new issue
Block a user