class_ring_of_polynomials_over.html

著名的密码库Crypto++的文档 C++语言的杰作。程序员必备。

const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#b9713800e8ff192ab7f4c232b44cf31c">MultiplicativeIdentity</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="37731e8b8eecc4dac0b782443387dc95"></a><!-- doxytag: member="RingOfPolynomialsOver::Multiply" ref="37731e8b8eecc4dac0b782443387dc95" args="(const Element &amp;a, const Element &amp;b) const" -->
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#37731e8b8eecc4dac0b782443387dc95">Multiply</a> (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="e7a8517cfb593d4b1bdffe3c1c2e2ab9"></a><!-- doxytag: member="RingOfPolynomialsOver::Square" ref="e7a8517cfb593d4b1bdffe3c1c2e2ab9" args="(const Element &amp;a) const " -->
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#e7a8517cfb593d4b1bdffe3c1c2e2ab9">Square</a> (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="0bb85350da70c11bec5c0c4b2d51b960"></a><!-- doxytag: member="RingOfPolynomialsOver::IsUnit" ref="0bb85350da70c11bec5c0c4b2d51b960" args="(const Element &amp;a) const " -->
bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#0bb85350da70c11bec5c0c4b2d51b960">IsUnit</a> (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="0e72c2b40df4572b2438a2622423806f"></a><!-- doxytag: member="RingOfPolynomialsOver::MultiplicativeInverse" ref="0e72c2b40df4572b2438a2622423806f" args="(const Element &amp;a) const " -->
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#0e72c2b40df4572b2438a2622423806f">MultiplicativeInverse</a> (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="689e7df1b7183b782d8c78dba07760b7"></a><!-- doxytag: member="RingOfPolynomialsOver::Divide" ref="689e7df1b7183b782d8c78dba07760b7" args="(const Element &amp;a, const Element &amp;b) const" -->
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#689e7df1b7183b782d8c78dba07760b7">Divide</a> (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="8178e2835b054e1a2b57fa54568a552e"></a><!-- doxytag: member="RingOfPolynomialsOver::Mod" ref="8178e2835b054e1a2b57fa54568a552e" args="(const Element &amp;a, const Element &amp;b) const" -->
const <a class="el" href="class_polynomial_over.html">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#8178e2835b054e1a2b57fa54568a552e">Mod</a> (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="333d8b90b9f7e5ca48056384136af1ca"></a><!-- doxytag: member="RingOfPolynomialsOver::DivisionAlgorithm" ref="333d8b90b9f7e5ca48056384136af1ca" args="(Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const" -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#333d8b90b9f7e5ca48056384136af1ca">DivisionAlgorithm</a> (<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="5f36bbd09c0b766a2dd794b63028adf6"></a><!-- doxytag: member="RingOfPolynomialsOver::Interpolate" ref="5f36bbd09c0b766a2dd794b63028adf6" args="(const CoefficientType x[], const CoefficientType y[], unsigned int n) const " -->
<a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#5f36bbd09c0b766a2dd794b63028adf6">Interpolate</a> (const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> x[], const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> y[], unsigned int n) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3f5e10426b55fffebbc5b1f9b6646b45"></a><!-- doxytag: member="RingOfPolynomialsOver::InterpolateAt" ref="3f5e10426b55fffebbc5b1f9b6646b45" args="(const CoefficientType &amp;position, const CoefficientType x[], const CoefficientType y[], unsigned int n) const " -->
<a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#3f5e10426b55fffebbc5b1f9b6646b45">InterpolateAt</a> (const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> &amp;position, const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> x[], const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> y[], unsigned int n) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="67d531140a3da7aecf49c1368634ae92"></a><!-- doxytag: member="RingOfPolynomialsOver::DivisionAlgorithm" ref="67d531140a3da7aecf49c1368634ae92" args="(Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const=0" -->
virtual 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=0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="aeaae5226cf710c9a8c583f5fc1d17b6"></a><!-- doxytag: member="RingOfPolynomialsOver::Mod" ref="aeaae5226cf710c9a8c583f5fc1d17b6" args="(const Element &amp;a, const Element &amp;b) const=0" -->
virtual 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=0</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2044146d4eb49414e1f4f880a9858161"></a><!-- doxytag: member="RingOfPolynomialsOver::Gcd" ref="2044146d4eb49414e1f4f880a9858161" args="(const Element &amp;a, const Element &amp;b) const" -->
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="0f011366054a4edb80be92f968083538"></a><!-- doxytag: member="RingOfPolynomialsOver::Exponentiate" ref="0f011366054a4edb80be92f968083538" args="(const Element &amp;a, const Integer &amp;e) const" -->
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="cbe859e24ea6ee1e22ed2a1261f7f9d0"></a><!-- doxytag: member="RingOfPolynomialsOver::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_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="56b1047d5e1c57d9b3c52e20af464cfe"></a><!-- doxytag: member="RingOfPolynomialsOver::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"><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="e19ef788f5ce5192e5867666ef38717f"></a><!-- doxytag: member="RingOfPolynomialsOver::MultiplicativeGroup" ref="e19ef788f5ce5192e5867666ef38717f" args="() const" -->
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"><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="257836994abefe25b80293f4c6b10f60"></a><!-- doxytag: member="RingOfPolynomialsOver::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="c01536b91c4fa3d0e0f929917143595b"></a><!-- doxytag: member="RingOfPolynomialsOver::ScalarMultiply" ref="c01536b91c4fa3d0e0f929917143595b" args="(const Element &amp;a, const Integer &amp;e) const" -->
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="ca3e1ca578003aff2595cc8d73522894"></a><!-- doxytag: member="RingOfPolynomialsOver::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_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="00a5cd4b22aab947ec107ec93ad13122"></a><!-- doxytag: member="RingOfPolynomialsOver::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"><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="b80f9ffd1ebb119d125718f31d1ef170"></a><!-- doxytag: member="RingOfPolynomialsOver::CalculateAlpha" ref="b80f9ffd1ebb119d125718f31d1ef170" args="(std::vector&lt; CoefficientType &gt; &amp;alpha, const CoefficientType x[], const CoefficientType y[], unsigned int n) const " -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#b80f9ffd1ebb119d125718f31d1ef170">CalculateAlpha</a> (std::vector&lt; <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> &gt; &amp;alpha, const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> x[], const <a class="el" href="class_ring_of_polynomials_over.html#d481c398f3ffa1af06ffa30d71c68659">CoefficientType</a> 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="18dc9d8b05fbd86b93845c8710c59d74"></a><!-- doxytag: member="RingOfPolynomialsOver::m_ring" ref="18dc9d8b05fbd86b93845c8710c59d74" args="" -->
<a class="el" href="class_ring_of_polynomials_over.html#bba882003d9c053e597f38b09c21ea3d">CoefficientRing</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over.html#18dc9d8b05fbd86b93845c8710c59d74">m_ring</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f1314f064e73c560b3d31982c4e26404"></a><!-- doxytag: member="RingOfPolynomialsOver::result" ref="f1314f064e73c560b3d31982c4e26404" args="" -->
<a class="el" href="class_polynomial_over.html">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_euclidean_domain.html#f1314f064e73c560b3d31982c4e26404">result</a></td></tr>

<tr><td colspan="2"><br><h2>Classes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_ring_of_polynomials_over_1_1_interpolation_failed.html">InterpolationFailed</a></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>
<hr size="1"><address style="text-align: right;"><small>Generated on Fri Jun 1 11:11:47 2007 for Crypto++ by&nbsp;
<a href="http://www.doxygen.org/index.html">
<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.2 </small></address>
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