class_abstract_euclidean_domain.html

著名的密码库Crypto++的文档 C++语言的杰作。程序员必备。

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dce7ac629f07850d5c45b473bed72ab0"></a><!-- doxytag: member="AbstractEuclideanDomain::Square" ref="dce7ac629f07850d5c45b473bed72ab0" args="(const Element &amp;a) const " -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#dce7ac629f07850d5c45b473bed72ab0">Square</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7ce20a30d89a8257088930d1d06d0b7"></a><!-- doxytag: member="AbstractEuclideanDomain::Divide" ref="a7ce20a30d89a8257088930d1d06d0b7" args="(const Element &amp;a, const Element &amp;b) const" -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#a7ce20a30d89a8257088930d1d06d0b7">Divide</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0f011366054a4edb80be92f968083538"></a><!-- doxytag: member="AbstractEuclideanDomain::Exponentiate" ref="0f011366054a4edb80be92f968083538" args="(const Element &amp;a, const Integer &amp;e) const" -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#0f011366054a4edb80be92f968083538">Exponentiate</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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="cbe859e24ea6ee1e22ed2a1261f7f9d0"></a><!-- doxytag: member="AbstractEuclideanDomain::CascadeExponentiate" ref="cbe859e24ea6ee1e22ed2a1261f7f9d0" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#cbe859e24ea6ee1e22ed2a1261f7f9d0">CascadeExponentiate</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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="56b1047d5e1c57d9b3c52e20af464cfe"></a><!-- doxytag: member="AbstractEuclideanDomain::SimultaneousExponentiate" ref="56b1047d5e1c57d9b3c52e20af464cfe" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->
virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#56b1047d5e1c57d9b3c52e20af464cfe">SimultaneousExponentiate</a> (<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> *results, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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="e19ef788f5ce5192e5867666ef38717f"></a><!-- doxytag: member="AbstractEuclideanDomain::MultiplicativeGroup" ref="e19ef788f5ce5192e5867666ef38717f" args="() const" -->
virtual const <a class="el" href="class_abstract_group.html">AbstractGroup</a>&lt;<br>
 T &gt; &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#e19ef788f5ce5192e5867666ef38717f">MultiplicativeGroup</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="78ff3ebe29cc8cf34b5b295e9e3daffd"></a><!-- doxytag: member="AbstractEuclideanDomain::Equal" ref="78ff3ebe29cc8cf34b5b295e9e3daffd" args="(const Element &amp;a, const Element &amp;b) const=0" -->
virtual bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>Equal</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const=0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ec5e0b36e27412addeb198b6ad899eec"></a><!-- doxytag: member="AbstractEuclideanDomain::Identity" ref="ec5e0b36e27412addeb198b6ad899eec" args="() const=0" -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>Identity</b> () const=0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="971686522cc596af0280c506bd24754b"></a><!-- doxytag: member="AbstractEuclideanDomain::Add" ref="971686522cc596af0280c506bd24754b" args="(const Element &amp;a, const Element &amp;b) const=0" -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>Add</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const=0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b22563bc0dcb544399d7e22b3589e165"></a><!-- doxytag: member="AbstractEuclideanDomain::Inverse" ref="b22563bc0dcb544399d7e22b3589e165" args="(const Element &amp;a) const =0" -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>Inverse</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a) const =0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="257836994abefe25b80293f4c6b10f60"></a><!-- doxytag: member="AbstractEuclideanDomain::InversionIsFast" ref="257836994abefe25b80293f4c6b10f60" args="() const" -->
virtual bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#257836994abefe25b80293f4c6b10f60">InversionIsFast</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e54ef772d5f231729e188cbe3b9173f6"></a><!-- doxytag: member="AbstractEuclideanDomain::Double" ref="e54ef772d5f231729e188cbe3b9173f6" args="(const Element &amp;a) const " -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#e54ef772d5f231729e188cbe3b9173f6">Double</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a19e1bef00198fb30eb01df3f7076717"></a><!-- doxytag: member="AbstractEuclideanDomain::Subtract" ref="a19e1bef00198fb30eb01df3f7076717" args="(const Element &amp;a, const Element &amp;b) const" -->
virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#a19e1bef00198fb30eb01df3f7076717">Subtract</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="45aa7c2240cb2f87184c7ad90df298ec"></a><!-- doxytag: member="AbstractEuclideanDomain::Accumulate" ref="45aa7c2240cb2f87184c7ad90df298ec" args="(Element &amp;a, const Element &amp;b) const " -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#45aa7c2240cb2f87184c7ad90df298ec">Accumulate</a> (<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2cc747d7e6b910e137942bd5c01e5b87"></a><!-- doxytag: member="AbstractEuclideanDomain::Reduce" ref="2cc747d7e6b910e137942bd5c01e5b87" args="(Element &amp;a, const Element &amp;b) const " -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#2cc747d7e6b910e137942bd5c01e5b87">Reduce</a> (<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c01536b91c4fa3d0e0f929917143595b"></a><!-- doxytag: member="AbstractEuclideanDomain::ScalarMultiply" ref="c01536b91c4fa3d0e0f929917143595b" args="(const Element &amp;a, const Integer &amp;e) const" -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#c01536b91c4fa3d0e0f929917143595b">ScalarMultiply</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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="ca3e1ca578003aff2595cc8d73522894"></a><!-- doxytag: member="AbstractEuclideanDomain::CascadeScalarMultiply" ref="ca3e1ca578003aff2595cc8d73522894" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->
virtual <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#ca3e1ca578003aff2595cc8d73522894">CascadeScalarMultiply</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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="00a5cd4b22aab947ec107ec93ad13122"></a><!-- doxytag: member="AbstractEuclideanDomain::SimultaneousMultiply" ref="00a5cd4b22aab947ec107ec93ad13122" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->
virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#00a5cd4b22aab947ec107ec93ad13122">SimultaneousMultiply</a> (<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> *results, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">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 Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f1314f064e73c560b3d31982c4e26404"></a><!-- doxytag: member="AbstractEuclideanDomain::result" ref="f1314f064e73c560b3d31982c4e26404" args="" -->
<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_euclidean_domain.html#f1314f064e73c560b3d31982c4e26404">result</a></td></tr>

</table>
<hr>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="algebra_8h-source.html">algebra.h</a><li><a class="el" href="algebra_8cpp-source.html">algebra.cpp</a></ul>
<hr size="1"><address style="text-align: right;"><small>Generated on Fri Jun 1 11:11:28 2007 for Crypto++ by&nbsp;
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