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<title>Crypto++:  TemplateRingOfPolynomialsOver&lt; T &gt; class Reference</title>
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<h1>RingOfPolynomialsOver&lt; T &gt; Class Template Reference</h1><code>#include &lt;<a class="el" href="polynomi_8h-source.html">polynomi.h</a>&gt;</code>
<p>
<p>Inheritance diagram for RingOfPolynomialsOver&lt; T &gt;:
<p><center><img src="class_ring_of_polynomials_over.png" usemap="#RingOfPolynomialsOver< T >_map" border="0" alt=""></center>
<map name="RingOfPolynomialsOver< T >_map">
<area href="class_abstract_euclidean_domain.html" alt="AbstractEuclideanDomain< PolynomialOver< T > >" shape="rect" coords="0,112,302,136">
<area href="class_abstract_ring.html" alt="AbstractRing< PolynomialOver< T > >" shape="rect" coords="0,56,302,80">
<area href="class_abstract_group.html" alt="AbstractGroup< PolynomialOver< T > >" shape="rect" coords="0,0,302,24">
</map>
<a href="class_ring_of_polynomials_over-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
<h3>template&lt;class T&gt;<br>
 class RingOfPolynomialsOver&lt; T &gt;</h3>

Ring of polynomials over another ring. 
<p>

<p>
Definition at line <a class="el" href="polynomi_8h-source.html#l00310">310</a> of file <a class="el" href="polynomi_8h-source.html">polynomi.h</a>.<table border=0 cellpadding=0 cellspacing=0>
<tr><td></td></tr>
<tr><td colspan=2><br><h2>Public Types</h2></td></tr>
<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overw0" doxytag="RingOfPolynomialsOver::CoefficientRing" ></a>
typedef T&nbsp;</td><td class="memItemRight" valign=bottom><b>CoefficientRing</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overw1" doxytag="RingOfPolynomialsOver::Element" ></a>
typedef <a class="el" href="class_polynomial_over.html">PolynomialOver</a>&lt; T &gt;&nbsp;</td><td class="memItemRight" valign=bottom><b>Element</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overw2" doxytag="RingOfPolynomialsOver::CoefficientType" ></a>
typedef Element::CoefficientType&nbsp;</td><td class="memItemRight" valign=bottom><b>CoefficientType</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overw3" doxytag="RingOfPolynomialsOver::RandomizationParameter" ></a>
typedef Element::RandomizationParameter&nbsp;</td><td class="memItemRight" valign=bottom><b>RandomizationParameter</b></td></tr>

<tr><td colspan=2><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa0" doxytag="RingOfPolynomialsOver::RingOfPolynomialsOver" ></a>
&nbsp;</td><td class="memItemRight" valign=bottom><b>RingOfPolynomialsOver</b> (const CoefficientRing &amp;ring)</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa1" doxytag="RingOfPolynomialsOver::RandomElement" ></a>
<a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>RandomElement</b> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &amp;rng, const RandomizationParameter &amp;parameter)</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa2" doxytag="RingOfPolynomialsOver::Equal" ></a>
bool&nbsp;</td><td class="memItemRight" valign=bottom><b>Equal</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa3" doxytag="RingOfPolynomialsOver::Identity" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Identity</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa4" doxytag="RingOfPolynomialsOver::Add" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Add</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa5" doxytag="RingOfPolynomialsOver::Accumulate" ></a>
<a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Accumulate</b> (<a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa6" doxytag="RingOfPolynomialsOver::Inverse" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Inverse</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa7" doxytag="RingOfPolynomialsOver::Subtract" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Subtract</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa8" doxytag="RingOfPolynomialsOver::Reduce" ></a>
<a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Reduce</b> (<a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa9" doxytag="RingOfPolynomialsOver::Double" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Double</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa10" doxytag="RingOfPolynomialsOver::MultiplicativeIdentity" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeIdentity</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa11" doxytag="RingOfPolynomialsOver::Multiply" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Multiply</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa12" doxytag="RingOfPolynomialsOver::Square" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Square</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa13" doxytag="RingOfPolynomialsOver::IsUnit" ></a>
bool&nbsp;</td><td class="memItemRight" valign=bottom><b>IsUnit</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa14" doxytag="RingOfPolynomialsOver::MultiplicativeInverse" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeInverse</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa15" doxytag="RingOfPolynomialsOver::Divide" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Divide</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa16" doxytag="RingOfPolynomialsOver::Mod" ></a>
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Mod</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa17" doxytag="RingOfPolynomialsOver::DivisionAlgorithm" ></a>
void&nbsp;</td><td class="memItemRight" valign=bottom><b>DivisionAlgorithm</b> (<a class="el" href="class_polynomial_over.html">Element</a> &amp;r, <a class="el" href="class_polynomial_over.html">Element</a> &amp;q, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;d) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa18" doxytag="RingOfPolynomialsOver::Interpolate" ></a>
<a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>Interpolate</b> (const CoefficientType x[], const CoefficientType y[], unsigned int n) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overa19" doxytag="RingOfPolynomialsOver::InterpolateAt" ></a>
CoefficientType&nbsp;</td><td class="memItemRight" valign=bottom><b>InterpolateAt</b> (const CoefficientType &amp;position, const CoefficientType x[], const CoefficientType y[], unsigned int n) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa18" doxytag="RingOfPolynomialsOver::Gcd" ></a>
virtual const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Gcd</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa19" doxytag="RingOfPolynomialsOver::Exponentiate" ></a>
virtual <a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>Exponentiate</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa20" doxytag="RingOfPolynomialsOver::CascadeExponentiate" ></a>
virtual <a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>CascadeExponentiate</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa21" doxytag="RingOfPolynomialsOver::SimultaneousExponentiate" ></a>
virtual void&nbsp;</td><td class="memItemRight" valign=bottom><b>SimultaneousExponentiate</b> (<a class="el" href="class_polynomial_over.html">Element</a> *results, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa22" doxytag="RingOfPolynomialsOver::MultiplicativeGroup" ></a>
virtual const <a class="el" href="class_abstract_group.html">AbstractGroup</a>&lt;<br>
 <a class="el" href="class_polynomial_over.html">PolynomialOver</a>&lt; T &gt; &gt; &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeGroup</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa23" doxytag="RingOfPolynomialsOver::InversionIsFast" ></a>
virtual bool&nbsp;</td><td class="memItemRight" valign=bottom><b>InversionIsFast</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa24" doxytag="RingOfPolynomialsOver::ScalarMultiply" ></a>
virtual <a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ScalarMultiply</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa25" doxytag="RingOfPolynomialsOver::CascadeScalarMultiply" ></a>
virtual <a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>CascadeScalarMultiply</b> (const <a class="el" href="class_polynomial_over.html">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa26" doxytag="RingOfPolynomialsOver::SimultaneousMultiply" ></a>
virtual void&nbsp;</td><td class="memItemRight" valign=bottom><b>SimultaneousMultiply</b> (<a class="el" href="class_polynomial_over.html">Element</a> *results, const <a class="el" href="class_polynomial_over.html">Element</a> &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const</td></tr>

<tr><td colspan=2><br><h2>Protected Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overb0" doxytag="RingOfPolynomialsOver::CalculateAlpha" ></a>
void&nbsp;</td><td class="memItemRight" valign=bottom><b>CalculateAlpha</b> (std::vector&lt; CoefficientType &gt; &amp;alpha, const CoefficientType x[], const CoefficientType y[], unsigned int n) const</td></tr>

<tr><td colspan=2><br><h2>Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_ring_of_polynomials_overp0" doxytag="RingOfPolynomialsOver::m_ring" ></a>
CoefficientRing&nbsp;</td><td class="memItemRight" valign=bottom><b>m_ring</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_abstract_euclidean_domainp0" doxytag="RingOfPolynomialsOver::result" ></a>
<a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>result</b></td></tr>

</table>
<hr>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="polynomi_8h-source.html">polynomi.h</a><li><a class="el" href="polynomi_8cpp-source.html">polynomi.cpp</a></ul>
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