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This library defines basic operation on polynomials, and contains also 3 different roots (zeroes)-fi

       
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<p>
in-place polynomial multiply.<p>
Multiplies two polynomials by convolution. Performs the operation <img class="formulaInl" alt="$p\leftarrow pq$" src="form_40.png"><p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>a polynomial to multiply to <code>this</code> object. </td></tr>
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<dl compact><dt><b>Returns:</b></dt><dd>A const reference to this.</dd></dl>
<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#g8e86f42915089a8d20b048f38adaa283">mul(Polynomial&lt;T&gt; &amp; r, const Polynomial&lt;T&gt;&amp; p, const Polynomial&lt;T&gt;&amp; q)</a><br>
 <a class="el" href="a00090.html#cd642f1b8ab48b8b99394fffc24727d6">Polynomial::operator*</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; p, const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; q) </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00433">433</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="23b2b39cd96c44c49bb31c1229165119"></a><!-- doxytag: member="Polynomial::operator+=" ref="23b2b39cd96c44c49bb31c1229165119" args="(const Polynomial&lt; T &gt; &amp;q)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top">const <a class="el" href="a00090.html">Polynomial</a>&lt;T&gt;&amp; <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt;::operator+=           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname1" valign="top" nowrap> <em>q</em>          </td>
          <td class="md" valign="top">&nbsp;)&nbsp;</td>
          <td class="md" nowrap><code> [inline]</code></td>
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<p>
in-place polynomial addition.<p>
Performs the addition <img class="formulaInl" alt="$r=p+q$" src="form_4.png"> , storing the result stored in <code>this</code>.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>a polynomial. </td></tr>
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</dl>
<dl compact><dt><b>Returns:</b></dt><dd>A const reference to <code>this</code>.</dd></dl>
<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00090.html#b6cb5632c793b07705ce488ac0fab8eb">operator+</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; p, const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; q)<br>
 <a class="el" href="a00090.html#be51eb0dc8e4a3721479be4b11536da0">Polynomial::operator-=</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; A)<br>
 <a class="el" href="a00101.html#g1fb458a7c3a7a5993ec815e6422236ed">add(Polynomial&lt;T&gt;&amp; p, const Polynomial&lt;T&gt;&amp; q)</a> </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00397">397</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="be51eb0dc8e4a3721479be4b11536da0"></a><!-- doxytag: member="Polynomial::operator-=" ref="be51eb0dc8e4a3721479be4b11536da0" args="(const Polynomial&lt; T &gt; &amp;q)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top">const <a class="el" href="a00090.html">Polynomial</a>&lt;T&gt;&amp; <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt;::operator-=           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname1" valign="top" nowrap> <em>q</em>          </td>
          <td class="md" valign="top">&nbsp;)&nbsp;</td>
          <td class="md" nowrap><code> [inline]</code></td>
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<p>
in-place polynomial substraction. Performs the substraction <img class="formulaInl" alt="$r=p-q$" src="form_7.png"> and stores the resulting polynomial in <code>this</code>.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>a polynomial. </td></tr>
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</dl>
<dl compact><dt><b>Returns:</b></dt><dd>A const reference to <code>this</code>.</dd></dl>
<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00090.html#6c43bbb2372812f10b97bb365f482a24">operator-</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; p, const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; q)<br>
 <a class="el" href="a00090.html#23b2b39cd96c44c49bb31c1229165119">Polynomial::operator+=</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; A)<br>
 <a class="el" href="a00101.html#gc692b059e9ef90e831249a8f94043ee3">sub(Polynomial&lt;T&gt;&amp; p, const Polynomial&lt;T&gt;&amp; q)</a> </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00415">415</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="11458f42a6275e6c384467ca5c398e95"></a><!-- doxytag: member="Polynomial::operator/=" ref="11458f42a6275e6c384467ca5c398e95" args="(const T &amp;s)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt;T&gt;&amp; <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt;::operator/=           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">const T &amp;&nbsp;</td>
          <td class="mdname1" valign="top" nowrap> <em>s</em>          </td>
          <td class="md" valign="top">&nbsp;)&nbsp;</td>
          <td class="md" nowrap><code> [inline]</code></td>
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<p>
in-place polynomial scaling.<p>
Polynomial scaling, performs the operation <img class="formulaInl" alt="$p(x)\leftarrow \frac{p(x)}{s}$" src="form_41.png"> .<p>
<dl compact><dt><b>Returns:</b></dt><dd>A constant reference to <code>this</code>.</dd></dl>
<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#g4db05aa06bba6b0f29a0c2608a479ec1">mul(Polynomial&lt;T&gt;&amp; r, const T&amp; s, const Polynomial&lt;T&gt;&amp; p)</a><br>
 Polynomial&lt;T&gt;::operator*= (const T&amp; s)<br>
 <a class="el" href="a00090.html#fedcfef27cf2f0a1f0075272a849b951">operator/</a> (const <a class="el" href="a00090.html#7de9b11369dc2daf64bbc609b3454baa">Polynomial&lt;T&gt;</a>&amp; p, const T&amp; s) </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00468">468</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="326ef308fcad15d7d1f778bb3b8beb31"></a><!-- doxytag: member="Polynomial::operator=" ref="326ef308fcad15d7d1f778bb3b8beb31" args="(const std::vector&lt; T &gt; &amp;q)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top">const <a class="el" href="a00090.html">Polynomial</a>&lt;T&gt;&amp; <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt;::operator=           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">const std::vector&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname1" valign="top" nowrap> <em>q</em>          </td>
          <td class="md" valign="top">&nbsp;)&nbsp;</td>
          <td class="md" nowrap><code> [inline]</code></td>
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<p>
make a copy of a polynomial.<p>
Make a copy of a polynomial.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>polynomial to copy.</td></tr>
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</dl>
<dl compact><dt><b>Returns:</b></dt><dd>A const reference on this object. </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00379">379</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="043f1f1821306fe3cc497ca3400fc703"></a><!-- doxytag: member="Polynomial::shift" ref="043f1f1821306fe3cc497ca3400fc703" args="(int n)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top">void <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt;::shift           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">int&nbsp;</td>
          <td class="mdname1" valign="top" nowrap> <em>n</em>          </td>
          <td class="md" valign="top">&nbsp;)&nbsp;</td>
          <td class="md" nowrap><code> [inline]</code></td>
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<p>
shifts the coeficients.<p>
Shifts the polynomial coeficients left or right, effectively doing the operation <img class="formulaInl" alt="$q(x)=x^{n}p(x)$" src="form_37.png"> .<p>
If <em>n</em> is negative, the remainder of the division <img class="formulaInl" alt="$\frac{p(x)}{x^{-n}}$" src="form_38.png"> is lost.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>n</em>&nbsp;</td><td>power of multipler <img class="formulaInl" alt="$x^n$" src="form_39.png"> . </td></tr>
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</dl>

<p>
Definition at line <a class="el" href="a00107.html#l00230">230</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<hr><h2>Friends And Related Function Documentation</h2>
<a class="anchor" name="955b65f7ae51e1a45bcf985c738640eb"></a><!-- doxytag: member="Polynomial::operator *" ref="955b65f7ae51e1a45bcf985c738640eb" args="(const T &amp;s, const Polynomial&lt; T &gt; &amp;p)" --><p>
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template&lt;class T&gt; </td>
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          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt;T&gt; operator *           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top">const T &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>s</em>, </td>
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