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<title>Crypto++: PolynomialOverFixedRing< T, instance > 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">PolynomialOverFixedRing< T, instance > Class Template Reference</div> </div>
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<p>Polynomials over a fixed ring.
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<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for PolynomialOverFixedRing< T, instance >:</div>
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<area href="class_polynomial_over.html" title="represents single-variable polynomials over arbitrary rings" alt="PolynomialOver< T >" shape="rect" coords="0,0,245,24"/>
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Public Types</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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typedef <a class="el" href="class_polynomial_over_1_1_divide_by_zero.html">B::DivideByZero</a> </td><td class="memItemRight" valign="bottom"><b>DivideByZero</b></td></tr>
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typedef <a class="el" href="class_polynomial_over_1_1_randomization_parameter.html">B::RandomizationParameter</a> </td><td class="memItemRight" valign="bottom"><b>RandomizationParameter</b></td></tr>
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Public Member Functions</h2></td></tr>
<tr><td colspan="2"><div class="groupHeader">ACCESSORS</div></td></tr>
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int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#adc7375389ed8759970361a61cce61ea0">Degree</a> () const</td></tr>
<tr class="memdesc:adc7375389ed8759970361a61cce61ea0"><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"><a class="el" href="class_polynomial_over_fixed_ring.html#a5e659b8a429b441a1ae1d6e544ebf189">CoefficientCount</a> () const</td></tr>
<tr class="memdesc:a5e659b8a429b441a1ae1d6e544ebf189"><td class="mdescLeft"> </td><td class="mdescRight">degree + 1 <br /></td></tr>
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CoefficientType </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#a70982605b8e8c3cc07c08438d5fbdefa">GetCoefficient</a> (unsigned int i) const</td></tr>
<tr class="memdesc:a70982605b8e8c3cc07c08438d5fbdefa"><td class="mdescLeft"> </td><td class="mdescRight">return coefficient for x^i <br /></td></tr>
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CoefficientType </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#a5ff7d2a9165c23fba47f6cb2898f5e4b">operator[]</a> (unsigned int i) const</td></tr>
<tr class="memdesc:a5ff7d2a9165c23fba47f6cb2898f5e4b"><td class="mdescLeft"> </td><td class="mdescRight">return coefficient for x^i <br /></td></tr>
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<tr><td colspan="2"><div class="groupHeader">MANIPULATORS</div></td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator+=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator-=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator*=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator/=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator%=</b> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator<<=</b> (unsigned int n)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>operator>>=</b> (unsigned int n)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#a7c797943b4cb9e864328d6d02dcb2444">SetCoefficient</a> (unsigned int i, const CoefficientType &value)</td></tr>
<tr class="memdesc:a7c797943b4cb9e864328d6d02dcb2444"><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>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)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>Negate</b> ()</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>swap</b> (<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
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<tr><td colspan="2"><div class="groupHeader">UNARY OPERATORS</div></td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>operator!</b> () const</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>operator+</b> () const</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>operator-</b> () const</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="friends"></a>
Friends</h2></td></tr>
<tr><td colspan="2"><div class="groupHeader">BINARY OPERATORS</div></td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>operator>></b> (<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> a, unsigned int n)</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>operator<<</b> (<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> a, unsigned int n)</td></tr>
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<tr><td colspan="2"><div class="groupHeader">INPUT/OUTPUT</div></td></tr>
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std::istream & </td><td class="memItemRight" valign="bottom"><b>operator>></b> (std::istream &in, <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &a)</td></tr>
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<tr class="memitem:a5f8d25b6a166ca84a106ecfbb8a01d65"><td class="memItemLeft" align="right" valign="top"><a id="a5f8d25b6a166ca84a106ecfbb8a01d65"></a>
std::ostream & </td><td class="memItemRight" valign="bottom"><b>operator<<</b> (std::ostream &out, const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &a)</td></tr>
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CREATORS</h2></td></tr>
<tr class="memitem:a8e10a57bab595f53a2055bcfb03fb66e"><td class="memItemLeft" align="right" valign="top"><a id="a8e10a57bab595f53a2055bcfb03fb66e"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#a8e10a57bab595f53a2055bcfb03fb66e">PolynomialOverFixedRing</a> (unsigned int count=0)</td></tr>
<tr class="memdesc:a8e10a57bab595f53a2055bcfb03fb66e"><td class="mdescLeft"> </td><td class="mdescRight">creates the zero polynomial <br /></td></tr>
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<tr class="memitem:ad63e985a7c37535ea710b7779ecfb3aa"><td class="memItemLeft" align="right" valign="top"><a id="ad63e985a7c37535ea710b7779ecfb3aa"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#ad63e985a7c37535ea710b7779ecfb3aa">PolynomialOverFixedRing</a> (const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &t)</td></tr>
<tr class="memdesc:ad63e985a7c37535ea710b7779ecfb3aa"><td class="mdescLeft"> </td><td class="mdescRight">copy constructor <br /></td></tr>
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<tr class="memitem:a9e789b2a6cc07a99e96c5887ad24bf4c"><td class="memItemLeft" align="right" valign="top"><a id="a9e789b2a6cc07a99e96c5887ad24bf4c"></a>
 </td><td class="memItemRight" valign="bottom"><b>PolynomialOverFixedRing</b> (const <a class="el" href="class_polynomial_over.html">B</a> &t)</td></tr>
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<tr class="memitem:adbff44242557cef909c01a74d75d181e"><td class="memItemLeft" align="right" valign="top"><a id="adbff44242557cef909c01a74d75d181e"></a>
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#adbff44242557cef909c01a74d75d181e">PolynomialOverFixedRing</a> (const CoefficientType &element)</td></tr>
<tr class="memdesc:adbff44242557cef909c01a74d75d181e"><td class="mdescLeft"> </td><td class="mdescRight">construct constant polynomial <br /></td></tr>
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<tr class="memitem:af1e2af7d588db8db85d7f55df99c59eb"><td class="memTemplParams" colspan="2"><a id="af1e2af7d588db8db85d7f55df99c59eb"></a>
template<typename Iterator > </td></tr>
<tr class="memitem:af1e2af7d588db8db85d7f55df99c59eb"><td class="memTemplItemLeft" align="right" valign="top"> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#af1e2af7d588db8db85d7f55df99c59eb">PolynomialOverFixedRing</a> (Iterator first, Iterator last)</td></tr>
<tr class="memdesc:af1e2af7d588db8db85d7f55df99c59eb"><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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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#aebbb74586712f3f825c4fa4894fbf217">PolynomialOverFixedRing</a> (const char *str)</td></tr>
<tr class="memdesc:aebbb74586712f3f825c4fa4894fbf217"><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_fixed_ring.html#a38de0135bd58a61176cef61bc6397c47">PolynomialOverFixedRing</a> (const byte *encodedPoly, unsigned int byteCount)</td></tr>
<tr class="memdesc:a38de0135bd58a61176cef61bc6397c47"><td class="mdescLeft"> </td><td class="mdescRight">convert from big-endian byte array <br /></td></tr>
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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#aeea00158952013a08cd97d1a416fa5a4">PolynomialOverFixedRing</a> (const byte *BEREncodedPoly)</td></tr>
<tr class="memdesc:aeea00158952013a08cd97d1a416fa5a4"><td class="mdescLeft"> </td><td class="mdescRight">convert from Basic Encoding Rules encoded byte array <br /></td></tr>
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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#ac24e06202bb7b81088948d6aa2c9d54f">PolynomialOverFixedRing</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</td></tr>
<tr class="memdesc:ac24e06202bb7b81088948d6aa2c9d54f"><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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 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#a49d91088bbec643b9e5b8db7c8c1e89b">PolynomialOverFixedRing</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)</td></tr>
<tr class="memdesc:a49d91088bbec643b9e5b8db7c8c1e89b"><td class="mdescLeft"> </td><td class="mdescRight">create a random <a class="el" href="class_polynomial_over_fixed_ring.html" title="Polynomials over a fixed ring.">PolynomialOverFixedRing</a> <br /></td></tr>
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static const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>Zero</b> ()</td></tr>
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static const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> & </td><td class="memItemRight" valign="bottom"><b>One</b> ()</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="member-group"></a>
OTHER ARITHMETIC FUNCTIONS</h2></td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>MultiplicativeInverse</b> () const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>IsUnit</b> () const</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>Doubled</b> () const</td></tr>
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<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> </td><td class="memItemRight" valign="bottom"><b>Squared</b> () const</td></tr>
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CoefficientType </td><td class="memItemRight" valign="bottom"><b>EvaluateAt</b> (const CoefficientType &x) const</td></tr>
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static void </td><td class="memItemRight" valign="bottom"><a class="el" href="class_polynomial_over_fixed_ring.html#ace18f8c67eb033dd6534b7ed6e7281b2">Divide</a> (<a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &r, <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &q, const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &a, const <a class="el" href="class_polynomial_over_fixed_ring.html">ThisType</a> &d)</td></tr>
<tr class="memdesc:ace18f8c67eb033dd6534b7ed6e7281b2"><td class="mdescLeft"> </td><td class="mdescRight">calculate r and q such that (a == d*q + r) && (0 <= r < abs(d)) <br /></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, int instance><br />
class PolynomialOverFixedRing< T, instance ></h3>
<p>Polynomials over a fixed ring. </p>
<p>Having a fixed ring allows overloaded operators </p>
<p class="definition">Definition at line <a class="el" href="polynomi_8h_source.html#l00163">163</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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