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<div class="title">polynomial2-derivative.cpp File Reference<div class="ingroups"><a class="el" href="group__Examples.html">DGtal Examples</a></div></div>  </div>
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<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;sstream&gt;</code><br />
<code>#include &quot;DGtal/math/MPolynomial.h&quot;</code><br />
<code>#include &quot;DGtal/io/readers/MPolynomialReader.h&quot;</code><br />
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<p><a href="polynomial2-derivative_8cpp_source.html">Go to the source code of this file.</a></p>
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<tr class="memitem:a20e26a0834ca2e2905ed656f963ef9f3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="polynomial2-derivative_8cpp.html#a20e26a0834ca2e2905ed656f963ef9f3">usage</a> (int, char **argv)</td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="polynomial2-derivative_8cpp.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"><dl class="section author"><dt>Author</dt><dd>Jacques-Olivier Lachaud (<code><a href="#" onclick="location.href='mai'+'lto:'+'jac'+'qu'+'es-'+'ol'+'ivi'+'er'+'.la'+'ch'+'aud'+'@u'+'niv'+'-s'+'avo'+'ie'+'.fr'; return false;">jacqu<span style="display: none;">.nosp@m.</span>es-o<span style="display: none;">.nosp@m.</span>livie<span style="display: none;">.nosp@m.</span>r.la<span style="display: none;">.nosp@m.</span>chaud<span style="display: none;">.nosp@m.</span>@uni<span style="display: none;">.nosp@m.</span>v-sav<span style="display: none;">.nosp@m.</span>oie.<span style="display: none;">.nosp@m.</span>fr</a></code> ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France</dd></dl>
<dl class="section date"><dt>Date</dt><dd>2012/02/06</dd></dl>
<p>An example file named polynomial2-derivative.</p>
<p>This file is part of the <a class="el" href="namespaceDGtal.html" title="DGtal is the top-level namespace which contains all DGtal functions and types.">DGtal</a> library. </p>

<p class="definition">Definition in file <a class="el" href="polynomial2-derivative_8cpp_source.html">polynomial2-derivative.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
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<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>
        </tr>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p>Main. </p>
<p>[polynomial2-derivative-types]</p>
<p>[polynomial2-derivative-types]</p>
<p>[polynomial2-derivative-process]</p>
<p>[polynomial2-derivative-process]</p>

<p class="definition">Definition at line <a class="el" href="polynomial2-derivative_8cpp_source.html#l00057">57</a> of file <a class="el" href="polynomial2-derivative_8cpp_source.html">polynomial2-derivative.cpp</a>.</p>
<div class="fragment"><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;{</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="keywordflow">if</span> ( argc &lt; 2 )</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="polynomial2-derivative_8cpp.html#a20e26a0834ca2e2905ed656f963ef9f3">usage</a>( argc, argv );</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">double</span> Ring;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classDGtal_1_1MPolynomial.html">MPolynomial&lt;2, Ring&gt;</a> MyPolynomial;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  std::string polynomialString( argv[ 1 ] );</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  std::istringstream polynomialIStream( polynomialString );</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  MyPolynomial P;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  polynomialIStream &gt;&gt; P;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  MyPolynomial P1_0 = derivative&lt;0&gt;( P );</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  MyPolynomial P2_0 = derivative&lt;0&gt;( P1_0 );</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  MyPolynomial P0_1 = derivative&lt;1&gt;( P );</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  MyPolynomial P0_2 = derivative&lt;1&gt;( P0_1 );</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  MyPolynomial P1_1 = derivative&lt;1&gt;( P1_0 );</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  MyPolynomial P1_1b= derivative&lt;0&gt;( P0_1 );</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;P(X_0,X_1)        = &quot;</span> &lt;&lt; P &lt;&lt; std::endl;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;dP/dX_0(X_0,X_1)  = &quot;</span> &lt;&lt; P1_0 &lt;&lt; std::endl;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;dP/dX_1(X_0,X_1)  = &quot;</span> &lt;&lt; P0_1 &lt;&lt; std::endl;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;d/dX_1 dP/dX_0(X_0,X_1) = &quot;</span> &lt;&lt; P1_1 &lt;&lt; std::endl;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;d/dX_0 dP/dX_1(X_0,X_1) = &quot;</span> &lt;&lt; P1_1b &lt;&lt; std::endl;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;d/dX_0 dP/dX_0(X_0,X_1) = &quot;</span> &lt;&lt; P2_0 &lt;&lt; std::endl;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  std::cout &lt;&lt; <span class="stringliteral">&quot;d/dX_1 dP/dX_1(X_0,X_1) = &quot;</span> &lt;&lt; P0_2 &lt;&lt; std::endl;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div>
<div class="ttc" id="aclassDGtal_1_1MPolynomial_html"><div class="ttname"><a href="classDGtal_1_1MPolynomial.html">DGtal::MPolynomial</a></div><div class="ttdoc">Aim: Represents a multivariate polynomial, i.e. an element of , where K is some ring or field.</div><div class="ttdef"><b>Definition:</b> <a href="MPolynomial_8h_source.html#l00964">MPolynomial.h:965</a></div></div>
<div class="ttc" id="apolynomial2-derivative_8cpp_html_a20e26a0834ca2e2905ed656f963ef9f3"><div class="ttname"><a href="polynomial2-derivative_8cpp.html#a20e26a0834ca2e2905ed656f963ef9f3">usage</a></div><div class="ttdeci">void usage(int, char **argv)</div><div class="ttdef"><b>Definition:</b> <a href="polynomial2-derivative_8cpp_source.html#l00048">polynomial2-derivative.cpp:48</a></div></div>
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<p class="reference">References <a class="el" href="polynomial2-derivative_8cpp_source.html#l00048">usage()</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a20e26a0834ca2e2905ed656f963ef9f3">&#9670;&nbsp;</a></span>usage()</h2>

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          <td class="memname">void usage </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">char **&#160;</td>
          <td class="paramname"><em>argv</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p class="definition">Definition at line <a class="el" href="polynomial2-derivative_8cpp_source.html#l00048">48</a> of file <a class="el" href="polynomial2-derivative_8cpp_source.html">polynomial2-derivative.cpp</a>.</p>
<div class="fragment"><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;  std::cerr &lt;&lt; <span class="stringliteral">&quot;Usage: &quot;</span> &lt;&lt; argv[ 0 ] &lt;&lt; <span class="stringliteral">&quot; &lt;P(x,y)&gt;&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  std::cerr &lt;&lt; <span class="stringliteral">&quot;\t - computes the first and second derivatives of the given polynomial P (in two variables).&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;}</div>
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<p class="reference">Referenced by <a class="el" href="polynomial2-derivative_8cpp_source.html#l00057">main()</a>.</p>

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