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

<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#ge76610399111a4dd1b9b920cda19100c">div(Polynomial&lt;T&gt;&amp; u, Polynomial&lt;T&gt;&amp; r, const Polynomial&lt;T&gt;&amp; v)</a> </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00711">711</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="g8e86f42915089a8d20b048f38adaa283"></a><!-- doxytag: member="Polynomial.h::mul" ref="g8e86f42915089a8d20b048f38adaa283" args="(Polynomial&lt; T &gt; &amp;r, const Polynomial&lt; T &gt; &amp;p, 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">void mul           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>r</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>p</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>q</em></td>
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          <td class="md">)&nbsp;</td>
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<p>
out-of-place polynomial multiply.<p>
Multiplies two polynomials by convolution.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>r</em>&nbsp;</td><td>resulting polynomial <img class="formulaInl" alt="$r=pq$" src="form_19.png"> </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>a polynomial. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>another polynomial.</td></tr>
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</dl>
<dl compact><dt><b>See also:</b></dt><dd>operator* (const Polynomial&lt;T&gt;&amp; p, const Polynomial&lt;T&gt;&amp; q)<br>
 Polynomial&lt;T&gt;::operator*= (const Polynomial&lt;T&gt;&amp; p) </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00830">830</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="gf48dda52aab572b59dde062a043240cf"></a><!-- doxytag: member="Polynomial.h::mul" ref="gf48dda52aab572b59dde062a043240cf" args="(Polynomial&lt; T &gt; &amp;p, 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">void mul           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>p</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const T &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>s</em></td>
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          <td class="md">)&nbsp;</td>
          <td class="md" colspan="2"><code> [inline]</code></td>
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<p>
in-place polynomial scaling.<p>
<a class="el" href="a00090.html">Polynomial</a> scaling. Performs the operation <img class="formulaInl" alt="$p(x)\leftarrow s.p(x)$" src="form_17.png"> .<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in,out]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>A polynomial, on exit contains the product <img class="formulaInl" alt="$s.p(x)$" src="form_18.png"> </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>s</em>&nbsp;</td><td>scalar.</td></tr>
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</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*= (Polynomial&lt;T&gt;&amp; p, const T&amp; s) </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00811">811</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="g4db05aa06bba6b0f29a0c2608a479ec1"></a><!-- doxytag: member="Polynomial.h::mul" ref="g4db05aa06bba6b0f29a0c2608a479ec1" args="(Polynomial&lt; T &gt; &amp;r, 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">void mul           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>r</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const T &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>s</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>p</em></td>
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          <td class="md"></td>
          <td class="md">)&nbsp;</td>
          <td class="md" colspan="2"></td>
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<p>
out-of-place polynomial scaling.<p>
<a class="el" href="a00090.html">Polynomial</a> scaling. Performs the operation <img class="formulaInl" alt="$r(x)=s.p(x)$" src="form_16.png"> .<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>r</em>&nbsp;</td><td>scaled polynomial <img class="formulaInl" alt="$r(x)=s.p(x)$" src="form_16.png"> </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>s</em>&nbsp;</td><td>scalar. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>A polynomial.</td></tr>
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</dl>
<dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#gf48dda52aab572b59dde062a043240cf">mul(Polynomial&lt;T&gt;&amp; p, const T&amp; s)</a><br>
 operator* (const T&amp; s, const Polynomial&lt;T&gt;&amp; p)<br>
 operator* (const Polynomial&lt;T&gt;&amp; p, const T&amp; s) </dd></dl>

<p>
Definition at line <a class="el" href="a00107.html#l00789">789</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="gc692b059e9ef90e831249a8f94043ee3"></a><!-- doxytag: member="Polynomial.h::sub" ref="gc692b059e9ef90e831249a8f94043ee3" args="(Polynomial&lt; T &gt; &amp;p, 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">void sub           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>p</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>q</em></td>
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          <td class="md"></td>
          <td class="md">)&nbsp;</td>
          <td class="md" colspan="2"></td>
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<p>
in-place substraction of polynomials.<p>
Performs in-place substraction of two polynomials <img class="formulaInl" alt="$p\leftarrow p-q$" src="form_9.png"> .<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in,out]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>first input polynomial. On exit, contains the difference <img class="formulaInl" alt="$p-q$" src="form_8.png"> . </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>second input polynomial. </td></tr>
  </table>
</dl>

<p>
Definition at line <a class="el" href="a00107.html#l00683">683</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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<a class="anchor" name="g5a0e286e83d54485e6f4ef4cb0e04f51"></a><!-- doxytag: member="Polynomial.h::sub" ref="g5a0e286e83d54485e6f4ef4cb0e04f51" args="(Polynomial&lt; T &gt; &amp;r, const Polynomial&lt; T &gt; &amp;p, 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">void sub           </td>
          <td class="md" valign="top">(&nbsp;</td>
          <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>r</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>p</em>, </td>
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          <td class="md" nowrap align="right"></td>
          <td class="md"></td>
          <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>&lt; T &gt; &amp;&nbsp;</td>
          <td class="mdname" nowrap> <em>q</em></td>
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          <td class="md"></td>
          <td class="md">)&nbsp;</td>
          <td class="md" colspan="2"></td>
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<p>
out-of-place substraction of polynomials.<p>
Performs substraction of two polynomials <img class="formulaInl" alt="$r=p-q$" src="form_7.png"> , resulting polynomial is stored in user-supplied polynomial <em>r</em>.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>r</em>&nbsp;</td><td>on exit, contains the polynomial <img class="formulaInl" alt="$p-q$" src="form_8.png"> . </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>p</em>&nbsp;</td><td>first input polynomial. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>q</em>&nbsp;</td><td>second input polynomial. </td></tr>
  </table>
</dl>

<p>
Definition at line <a class="el" href="a00107.html#l00650">650</a> of file <a class="el" href="a00107.html">Polynomial.h</a>.    </td>
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