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<div id="projectname">Algorithms_in_C
&#160;<span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<p><a href="https://projecteuler.net/problem=16">Problem 16</a> solution
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
<code>#include &lt;stdint.h&gt;</code><br />
<code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
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Include dependency graph for sol1.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d88/problem__16_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://projecteuler.net/problem=16">Problem 16</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
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<td>)</td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;{</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> tmp = log(10) / log(2); <span class="comment">/* required to get number of digits */</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> MAX_NUM_DIGITS;</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; uint8_t *digits =</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; NULL; <span class="comment">/* array to store individual digits. index 0 = units place */</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> = 1000, sum = 0;</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="keywordflow">if</span> (argc == 2)</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> = atoi(argv[1]);</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; MAX_NUM_DIGITS = (<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> + tmp) / tmp;</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; digits = calloc(MAX_NUM_DIGITS, <span class="keyword">sizeof</span>(uint8_t));</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; digits[0] = 1;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordflow">if</span> (!digits)</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; perror(<span class="stringliteral">&quot;Unable to allocate memory!&quot;</span>);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; }</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>; i++)</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; MAX_NUM_DIGITS; j++)</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; digits[j] = (digits[j] &lt;&lt; 1) + carry; <span class="comment">/* digit * 2 + carry */</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// printf(&quot;\t value: %d\t&quot;, digits[j]);</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">if</span> (digits[j] &gt; 9)</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; carry = 1;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; digits[j] -= 10;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; carry = 0;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="comment">// printf(&quot;carry: %d\t value: %d\n&quot;, carry, digits[j]);</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="comment">/* accumulate sum for last multiplication */</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">if</span> (i == <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> - 1)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; sum += digits[j];</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; printf(<span class="stringliteral">&quot;2^%d = &quot;</span>, <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = MAX_NUM_DIGITS - 1; i &gt;= 0; i--) putchar(digits[i] + 0x30);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; printf(<span class="stringliteral">&quot;\n\t Sum: %d\t Num. digits: %lu\n&quot;</span>, sum, MAX_NUM_DIGITS);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; free(digits);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;}</div>
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<div class="ttc" id="aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4"><div class="ttname"><a href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a></div><div class="ttdeci">#define N</div><div class="ttdef"><b>Definition:</b> sol1.c:109</div></div>
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