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<div class="title">cartesian_to_polar.c File Reference</div> </div>
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<div class="contents">
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<p>Function to convert a Cartesian co-ordinate to polar form.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <assert.h></code><br />
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<code>#include <math.h></code><br />
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<code>#include <stdio.h></code><br />
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<code>#include <stdlib.h></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for cartesian_to_polar.c:</div>
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<div class="dyncontent">
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Macros</h2></td></tr>
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<tr class="memitem:a525335710b53cb064ca56b936120431e"><td class="memItemLeft" align="right" valign="top"><a id="a525335710b53cb064ca56b936120431e"></a>
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#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#a525335710b53cb064ca56b936120431e">_USE_MATH_DEFINES</a></td></tr>
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<tr class="memdesc:a525335710b53cb064ca56b936120431e"><td class="mdescLeft"> </td><td class="mdescRight">required for MS Visual C <br /></td></tr>
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<tr class="separator:a525335710b53cb064ca56b936120431e"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:afb80d77f0c994240309ccddcc9525e70"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#afb80d77f0c994240309ccddcc9525e70">to_polar</a> (double x, double y, double *r, double *theta)</td></tr>
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<tr class="memdesc:afb80d77f0c994240309ccddcc9525e70"><td class="mdescLeft"> </td><td class="mdescRight">Function to convert cartesian coordinates to polar. <a href="../../d6/d2e/cartesian__to__polar_8c.html#afb80d77f0c994240309ccddcc9525e70">More...</a><br /></td></tr>
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<tr class="separator:afb80d77f0c994240309ccddcc9525e70"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a60e62b809ca9dcb1b20a140b30d30f60"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#a60e62b809ca9dcb1b20a140b30d30f60">get_rand</a> (double lim1, double lim2)</td></tr>
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<tr class="memdesc:a60e62b809ca9dcb1b20a140b30d30f60"><td class="mdescLeft"> </td><td class="mdescRight">Generate a random number in the given limits. <a href="../../d6/d2e/cartesian__to__polar_8c.html#a60e62b809ca9dcb1b20a140b30d30f60">More...</a><br /></td></tr>
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<tr class="separator:a60e62b809ca9dcb1b20a140b30d30f60"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top"><a id="ae1a3968e7947464bee7714f6d43b7002"></a>
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void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
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<tr class="memdesc:ae1a3968e7947464bee7714f6d43b7002"><td class="mdescLeft"> </td><td class="mdescRight">Test implementation. <br /></td></tr>
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<tr class="separator:ae1a3968e7947464bee7714f6d43b7002"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top"><a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Function to convert a Cartesian co-ordinate to polar form. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a60e62b809ca9dcb1b20a140b30d30f60"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a60e62b809ca9dcb1b20a140b30d30f60">◆ </a></span>get_rand()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">double get_rand </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>lim1</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>lim2</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Generate a random number in the given limits. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">lim1</td><td>lower limit </td></tr>
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<tr><td class="paramname">lim2</td><td>upper limit </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>random number in the given range </dd></dl>
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<div class="fragment"><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> {</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordtype">double</span> r = (double)rand() / RAND_MAX; <span class="comment">// value in [0,1)</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> (lim2 - lim1) * r + lim1; <span class="comment">// scale to range</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="afb80d77f0c994240309ccddcc9525e70"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#afb80d77f0c994240309ccddcc9525e70">◆ </a></span>to_polar()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">void to_polar </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>x</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>y</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>r</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>theta</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Function to convert cartesian coordinates to polar. </p>
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<p class="formulaDsp">
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\begin{eqnarray*} r &=& \sqrt{x^2+y^2}\\ \theta &=& \atan\frac{y}{x} \end{eqnarray*}
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</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>absicca value </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>ordinate value </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>pointer to store polar radius </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">theta</td><td>pointer to store polar angle (in radian) </td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordtype">double</span> thetaFinal = 0.f;</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  *r = sqrt(x * x + y * y);</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">if</span> (x != 0)</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">if</span> (y != 0)</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  *theta = atan(y / x);</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">if</span> ((x > 0 && y > 0) || (x == -y))</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  { <span class="comment">// Q1</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  thetaFinal = *theta;</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x < 0 && y > 0)</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { <span class="comment">// Q2</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  thetaFinal = *theta + M_PI;</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x < 0 && y < 0)</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  { <span class="comment">// Q3</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  thetaFinal = *theta - M_PI;</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x > 0 && y < 0)</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { <span class="comment">// Q4</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  thetaFinal = 2 * M_PI - *theta;</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  {</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  fprintf(stderr, <span class="stringliteral">"Should not reach here!\n"</span>);</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  }</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  }</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  { <span class="comment">// exceptions when no actual angle is present</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">if</span> (y > 0)</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  {</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  thetaFinal = M_PI / 2;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  thetaFinal = -(M_PI / 2);</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">if</span> (y == 0)</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  {</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">if</span> (x > 0)</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  {</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  thetaFinal = 0;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  {</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  thetaFinal = -M_PI;</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  }</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  *theta = thetaFinal;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> }</div>
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