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<a href="#define-members">Macros</a> &#124;
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<div class="headertitle"><div class="title">cartesian_to_polar.c File Reference</div></div>
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<p>Function to convert a Cartesian co-ordinate to polar form.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;assert.h&gt;</code><br />
<code>#include &lt;math.h&gt;</code><br />
<code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for cartesian_to_polar.c:</div>
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Macros</h2></td></tr>
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#define&#160;</td><td class="memItemRight" valign="bottom"><b>_USE_MATH_DEFINES</b></td></tr>
<tr class="memdesc:a525335710b53cb064ca56b936120431e"><td class="mdescLeft">&#160;</td><td class="mdescRight">required for MS Visual C <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:afb80d77f0c994240309ccddcc9525e70"><td class="memItemLeft" align="right" valign="top">void&#160;</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>
<tr class="memdesc:afb80d77f0c994240309ccddcc9525e70"><td class="mdescLeft">&#160;</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>
<tr class="separator:afb80d77f0c994240309ccddcc9525e70"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a60e62b809ca9dcb1b20a140b30d30f60"><td class="memItemLeft" align="right" valign="top">double&#160;</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>
<tr class="memdesc:a60e62b809ca9dcb1b20a140b30d30f60"><td class="mdescLeft">&#160;</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>
<tr class="separator:a60e62b809ca9dcb1b20a140b30d30f60"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
<tr class="memdesc:ae1a3968e7947464bee7714f6d43b7002"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test implementation. <a href="../../d6/d2e/cartesian__to__polar_8c.html#ae1a3968e7947464bee7714f6d43b7002">More...</a><br /></td></tr>
<tr class="separator:ae1a3968e7947464bee7714f6d43b7002"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/cartesian__to__polar_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d6/d2e/cartesian__to__polar_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Function to convert a Cartesian co-ordinate to polar form. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a60e62b809ca9dcb1b20a140b30d30f60" name="a60e62b809ca9dcb1b20a140b30d30f60"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a60e62b809ca9dcb1b20a140b30d30f60">&#9670;&nbsp;</a></span>get_rand()</h2>
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<td class="memname">double get_rand </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>lim1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>lim2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Generate a random number in the given limits. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">lim1</td><td>lower limit </td></tr>
<tr><td class="paramname">lim2</td><td>upper limit </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>random number in the given range </dd></dl>
<div class="fragment"><div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>{</div>
<div class="line"><a id="l00090" 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>
<div class="line"><a id="l00091" 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>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Main function. </p>
<div class="fragment"><div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span>{</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_function" href="../../d6/d2e/cartesian__to__polar_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a>();</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span>}</div>
<div class="ttc" id="acartesian__to__polar_8c_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d6/d2e/cartesian__to__polar_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test implementation.</div><div class="ttdef"><b>Definition:</b> cartesian_to_polar.c:98</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1a3968e7947464bee7714f6d43b7002">&#9670;&nbsp;</a></span>test()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void test </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Test implementation. </p>
<div class="fragment"><div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span>{</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> srand(10);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordtype">int</span> NUM_TESTS = 5;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; NUM_TESTS; i++)</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordtype">double</span> r, theta;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> printf(<span class="stringliteral">&quot;Test %d.... &quot;</span>, i);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">double</span> x = <a class="code hl_function" href="../../d6/d2e/cartesian__to__polar_8c.html#a60e62b809ca9dcb1b20a140b30d30f60">get_rand</a>(-5, 5);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">double</span> y = <a class="code hl_function" href="../../d6/d2e/cartesian__to__polar_8c.html#a60e62b809ca9dcb1b20a140b30d30f60">get_rand</a>(-5, 5);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> printf(<span class="stringliteral">&quot;(%.2g, %.2g).... &quot;</span>, x, y);</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_function" href="../../d6/d2e/cartesian__to__polar_8c.html#afb80d77f0c994240309ccddcc9525e70">to_polar</a>(x, y, &amp;r, &amp;theta);</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> assert(fabs(r - hypot(x, y)) &lt; 0.01);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> assert(fabs(theta - atan2(y, x)) &lt; 0.01);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> printf(<span class="stringliteral">&quot;passed\n&quot;</span>);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span>}</div>
<div class="ttc" id="acartesian__to__polar_8c_html_a60e62b809ca9dcb1b20a140b30d30f60"><div class="ttname"><a href="../../d6/d2e/cartesian__to__polar_8c.html#a60e62b809ca9dcb1b20a140b30d30f60">get_rand</a></div><div class="ttdeci">double get_rand(double lim1, double lim2)</div><div class="ttdoc">Generate a random number in the given limits.</div><div class="ttdef"><b>Definition:</b> cartesian_to_polar.c:88</div></div>
<div class="ttc" id="acartesian__to__polar_8c_html_afb80d77f0c994240309ccddcc9525e70"><div class="ttname"><a href="../../d6/d2e/cartesian__to__polar_8c.html#afb80d77f0c994240309ccddcc9525e70">to_polar</a></div><div class="ttdeci">void to_polar(double x, double y, double *r, double *theta)</div><div class="ttdoc">Function to convert cartesian coordinates to polar.</div><div class="ttdef"><b>Definition:</b> cartesian_to_polar.c:22</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#afb80d77f0c994240309ccddcc9525e70">&#9670;&nbsp;</a></span>to_polar()</h2>
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<tr>
<td class="memname">void to_polar </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"><em>theta</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to convert cartesian coordinates to polar. </p>
<p class="formulaDsp">
\begin{eqnarray*} r &amp;=&amp; \sqrt{x^2+y^2}\\ \theta &amp;=&amp; \atan\frac{y}{x} \end{eqnarray*}
</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>absicca value </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>ordinate value </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>pointer to store polar radius </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">theta</td><td>pointer to store polar angle (in radian) </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span>{</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordtype">double</span> thetaFinal = 0.f;</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> *r = sqrt(x * x + y * y);</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">if</span> (x != 0)</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">if</span> (y != 0)</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> *theta = atan(y / x);</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">if</span> ((x &gt; 0 &amp;&amp; y &gt; 0) || (x == -y))</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> { <span class="comment">// Q1</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> thetaFinal = *theta;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x &lt; 0 &amp;&amp; y &gt; 0)</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> { <span class="comment">// Q2</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> thetaFinal = *theta + M_PI;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x &lt; 0 &amp;&amp; y &lt; 0)</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> { <span class="comment">// Q3</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> thetaFinal = *theta - M_PI;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> }</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x &gt; 0 &amp;&amp; y &lt; 0)</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> { <span class="comment">// Q4</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> thetaFinal = 2 * M_PI - *theta;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> {</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> fprintf(stderr, <span class="stringliteral">&quot;Should not reach here!\n&quot;</span>);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> { <span class="comment">// exceptions when no actual angle is present</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (y &gt; 0)</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> thetaFinal = M_PI / 2;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> thetaFinal = -(M_PI / 2);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">if</span> (y == 0)</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">if</span> (x &gt; 0)</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> thetaFinal = 0;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> thetaFinal = -M_PI;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> *theta = thetaFinal;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
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