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<title>Crypto++: PolynomialOver< T > Class Template Reference</title>
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<div id="projectname">Crypto++
 <span id="projectnumber">7.0</span>
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<div id="projectbrief">Free C++ class library of cryptographic schemes</div>
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<div class="title">PolynomialOver< T > Class Template Reference</div> </div>
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<p>represents single-variable polynomials over arbitrary rings
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<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for PolynomialOver< T >:</div>
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<area href="class_polynomial_over_fixed_ring.html" title="Polynomials over a fixed ring." alt="PolynomialOverFixedRing< T, instance >" shape="rect" coords="0,56,245,80"/>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_1_1_divide_by_zero.html">DivideByZero</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">division by zero exception <a href="class_polynomial_over_1_1_divide_by_zero.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_1_1_randomization_parameter.html">RandomizationParameter</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">specify the distribution for randomization functions <a href="class_polynomial_over_1_1_randomization_parameter.html#details">More...</a><br /></td></tr>
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ENUMS, EXCEPTIONS, and TYPEDEFS</h2></td></tr>
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typedef T </td><td class="memItemRight" valign="bottom"><b>Ring</b></td></tr>
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typedef T::Element </td><td class="memItemRight" valign="bottom"><b>CoefficientType</b></td></tr>
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CREATORS</h2></td></tr>
<tr class="memitem:a9a479be6ed6b88ac4f74a1c0ca72849c"><td class="memItemLeft" align="right" valign="top"><a id="a9a479be6ed6b88ac4f74a1c0ca72849c"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a9a479be6ed6b88ac4f74a1c0ca72849c">PolynomialOver</a> ()</td></tr>
<tr class="memdesc:a9a479be6ed6b88ac4f74a1c0ca72849c"><td class="mdescLeft"> </td><td class="mdescRight">creates the zero polynomial <br /></td></tr>
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 </td><td class="memItemRight" valign="bottom"><b>PolynomialOver</b> (const Ring &ring, unsigned int count)</td></tr>
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<tr class="memitem:a393c8f0c973d431d7e04d3d3682b333d"><td class="memItemLeft" align="right" valign="top"><a id="a393c8f0c973d431d7e04d3d3682b333d"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a393c8f0c973d431d7e04d3d3682b333d">PolynomialOver</a> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t)</td></tr>
<tr class="memdesc:a393c8f0c973d431d7e04d3d3682b333d"><td class="mdescLeft"> </td><td class="mdescRight">copy constructor <br /></td></tr>
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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#af3f01459e456891391d9650e4b82b8b0">PolynomialOver</a> (const CoefficientType &element)</td></tr>
<tr class="memdesc:af3f01459e456891391d9650e4b82b8b0"><td class="mdescLeft"> </td><td class="mdescRight">construct constant polynomial <br /></td></tr>
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template<typename Iterator > </td></tr>
<tr class="memitem:a7a4e4504a189d1594961879fc10cba43"><td class="memTemplItemLeft" align="right" valign="top"> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a7a4e4504a189d1594961879fc10cba43">PolynomialOver</a> (Iterator begin, Iterator end)</td></tr>
<tr class="memdesc:a7a4e4504a189d1594961879fc10cba43"><td class="mdescLeft"> </td><td class="mdescRight">construct polynomial with specified coefficients, starting from coefficient of x^0 <br /></td></tr>
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<tr class="memitem:aef039d41b917e8297e14c050568a37a2"><td class="memItemLeft" align="right" valign="top"><a id="aef039d41b917e8297e14c050568a37a2"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#aef039d41b917e8297e14c050568a37a2">PolynomialOver</a> (const char *str, const Ring &ring)</td></tr>
<tr class="memdesc:aef039d41b917e8297e14c050568a37a2"><td class="mdescLeft"> </td><td class="mdescRight">convert from string <br /></td></tr>
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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#acccd86996b94b0353287d64ded9ca02f">PolynomialOver</a> (const byte *encodedPolynomialOver, unsigned int byteCount)</td></tr>
<tr class="memdesc:acccd86996b94b0353287d64ded9ca02f"><td class="mdescLeft"> </td><td class="mdescRight">convert from big-endian byte array <br /></td></tr>
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<tr class="memitem:aee5c8c3fe28ec784e02abb66df2c4040"><td class="memItemLeft" align="right" valign="top"><a id="aee5c8c3fe28ec784e02abb66df2c4040"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#aee5c8c3fe28ec784e02abb66df2c4040">PolynomialOver</a> (const byte *BEREncodedPolynomialOver)</td></tr>
<tr class="memdesc:aee5c8c3fe28ec784e02abb66df2c4040"><td class="mdescLeft"> </td><td class="mdescRight">convert from Basic Encoding Rules encoded byte array <br /></td></tr>
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<tr class="memitem:a4cef3038c9a2515037e52647e8af1914"><td class="memItemLeft" align="right" valign="top"><a id="a4cef3038c9a2515037e52647e8af1914"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a4cef3038c9a2515037e52647e8af1914">PolynomialOver</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</td></tr>
<tr class="memdesc:a4cef3038c9a2515037e52647e8af1914"><td class="mdescLeft"> </td><td class="mdescRight">convert from BER encoded byte array stored in a <a class="el" href="class_buffered_transformation.html" title="Interface for buffered transformations.">BufferedTransformation</a> object <br /></td></tr>
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<tr class="memitem:a33a595d1ea6d44eef7ac3636c195a869"><td class="memItemLeft" align="right" valign="top"><a id="a33a595d1ea6d44eef7ac3636c195a869"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a33a595d1ea6d44eef7ac3636c195a869">PolynomialOver</a> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, const <a class="el" href="class_polynomial_over_1_1_randomization_parameter.html">RandomizationParameter</a> &parameter, const Ring &ring)</td></tr>
<tr class="memdesc:a33a595d1ea6d44eef7ac3636c195a869"><td class="mdescLeft"> </td><td class="mdescRight">create a random PolynomialOver<T> <br /></td></tr>
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ACCESSORS</h2></td></tr>
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int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a528a5722512381f2d7cb3b705bcbe8bb">Degree</a> (const Ring &ring) const</td></tr>
<tr class="memdesc:a528a5722512381f2d7cb3b705bcbe8bb"><td class="mdescLeft"> </td><td class="mdescRight">the zero polynomial will return a degree of -1 <br /></td></tr>
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unsigned int </td><td class="memItemRight" valign="bottom"><b>CoefficientCount</b> (const Ring &ring) const</td></tr>
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CoefficientType </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#a6feeb70252350258e2439f8a864d563f">GetCoefficient</a> (unsigned int i, const Ring &ring) const</td></tr>
<tr class="memdesc:a6feeb70252350258e2439f8a864d563f"><td class="mdescLeft"> </td><td class="mdescRight">return coefficient for x^i <br /></td></tr>
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MANIPULATORS</h2></td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > & </td><td class="memItemRight" valign="bottom"><b>operator=</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>Randomize</b> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, const <a class="el" href="class_polynomial_over_1_1_randomization_parameter.html">RandomizationParameter</a> &parameter, const Ring &ring)</td></tr>
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<tr class="memitem:aac4ab97afda49a151fc9dbd8eaf9aa16"><td class="memItemLeft" align="right" valign="top"><a id="aac4ab97afda49a151fc9dbd8eaf9aa16"></a>
void </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#aac4ab97afda49a151fc9dbd8eaf9aa16">SetCoefficient</a> (unsigned int i, const CoefficientType &value, const Ring &ring)</td></tr>
<tr class="memdesc:aac4ab97afda49a151fc9dbd8eaf9aa16"><td class="mdescLeft"> </td><td class="mdescRight">set the coefficient for x^i to value <br /></td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>Negate</b> (const Ring &ring)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>swap</b> (<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t)</td></tr>
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BASIC ARITHMETIC ON POLYNOMIALS</h2></td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>Equals</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>IsZero</b> (const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Plus</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Minus</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Inverse</b> (const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Times</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>DividedBy</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Modulo</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>MultiplicativeInverse</b> (const Ring &ring) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>IsUnit</b> (const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > & </td><td class="memItemRight" valign="bottom"><b>Accumulate</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring)</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > & </td><td class="memItemRight" valign="bottom"><b>Reduce</b> (const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &t, const Ring &ring)</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Doubled</b> (const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > </td><td class="memItemRight" valign="bottom"><b>Squared</b> (const Ring &ring) const</td></tr>
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CoefficientType </td><td class="memItemRight" valign="bottom"><b>EvaluateAt</b> (const CoefficientType &x, const Ring &ring) const</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > & </td><td class="memItemRight" valign="bottom"><b>ShiftLeft</b> (unsigned int n, const Ring &ring)</td></tr>
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<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > & </td><td class="memItemRight" valign="bottom"><b>ShiftRight</b> (unsigned int n, const Ring &ring)</td></tr>
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static void </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over.html#aaa1a0b9d2470af2a01ae1c01d743b042">Divide</a> (<a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &r, <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &q, const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &a, const <a class="el" href="class_polynomial_over.html">PolynomialOver</a>< Ring > &d, const Ring &ring)</td></tr>
<tr class="memdesc:aaa1a0b9d2470af2a01ae1c01d743b042"><td class="mdescLeft"> </td><td class="mdescRight">calculate r and q such that (a == d*q + r) && (0 <= degree of r < degree of d) <br /></td></tr>
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INPUT/OUTPUT</h2></td></tr>
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std::istream & </td><td class="memItemRight" valign="bottom"><b>Input</b> (std::istream &in, const Ring &ring)</td></tr>
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std::ostream & </td><td class="memItemRight" valign="bottom"><b>Output</b> (std::ostream &out, const Ring &ring) const</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<class T><br />
class PolynomialOver< T ></h3>
<p>represents single-variable polynomials over arbitrary rings </p>
<p class="definition">Definition at line <a class="el" href="polynomi_8h_source.html#l00021">21</a> of file <a class="el" href="polynomi_8h_source.html">polynomi.h</a>.</p>
</div><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>
<li><a class="el" href="polynomi_8cpp_source.html">polynomi.cpp</a></li>
</ul>
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