<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <title>linbox: PID_double Class Reference</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <link href="doxygen.css" rel="stylesheet" type="text/css"/> </head> <body> <!-- Generated by Doxygen 1.7.4 --> <script type="text/javascript"> function hasClass(ele,cls) { return ele.className.match(new RegExp('(\\s|^)'+cls+'(\\s|$)')); } function addClass(ele,cls) { if (!this.hasClass(ele,cls)) ele.className += " "+cls; } function removeClass(ele,cls) { if (hasClass(ele,cls)) { var reg = new RegExp('(\\s|^)'+cls+'(\\s|$)'); ele.className=ele.className.replace(reg,' '); } } function toggleVisibility(linkObj) { var base = linkObj.getAttribute('id'); var summary = document.getElementById(base + '-summary'); var content = 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href="namespaces.html"><span>Namespaces</span></a></li> <li class="current"><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="files.html"><span>Files</span></a></li> <li><a href="dirs.html"><span>Directories</span></a></li> <li><a href="examples.html"><span>Examples</span></a></li> </ul> </div> <div id="navrow2" class="tabs2"> <ul class="tablist"> <li><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="hierarchy.html"><span>Class Hierarchy</span></a></li> <li><a href="functions.html"><span>Data Fields</span></a></li> </ul> </div> <div id="nav-path" class="navpath"> <ul> <li class="navelem"><a class="el" href="namespace_lin_box.html">LinBox</a> </li> <li class="navelem"><a class="el" href="class_lin_box_1_1_p_i_d__double.html">PID_double</a> </li> </ul> </div> </div> <div class="header"> <div class="summary"> <a href="#pub-methods">Public Member Functions</a> | <a href="#pub-static-methods">Static Public Member Functions</a> </div> <div class="headertitle"> <div class="title">PID_double Class Reference<div class="ingroups"><a class="el" href="group__integers.html">Integers</a></div></div> </div> </div> <div class="contents"> <!-- doxytag: class="LinBox::PID_double" --><!-- doxytag: inherits="LinBox::UnparametricField" --> <p>NO DOC. <a href="class_lin_box_1_1_p_i_d__double.html#details">More...</a></p> <p><code>#include <PID-double.h></code></p> <p>Inherits UnparametricField< K >.</p> <table class="memberdecls"> <tr><td colspan="2"><h2><a name="pub-types"></a> Public Types</h2></td></tr> <tr><td colspan="2"><div class="groupHeader">Common Object Interface for a LinBox Field.</div></td></tr> <tr><td colspan="2"><div class="groupText"><p>These methods and member types are required of all <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> fields.</p> <p>See <a class="el" href="class_lin_box_1_1_field_archetype.html">FieldArchetype</a> for detailed specifications. </p> </div></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a372e01cec3ec4baa9ea342f9bc017d92"></a><!-- doxytag: member="LinBox::PID_double::RandIter" ref="a372e01cec3ec4baa9ea342f9bc017d92" args="" --> typedef <a class="el" href="class_lin_box_1_1_unparametric_rand_iter.html">UnparametricRandIter</a>< K > </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a372e01cec3ec4baa9ea342f9bc017d92">RandIter</a></td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Type of random field element generators. <br/></td></tr> <tr><td colspan="2"><h2><a name="pub-methods"></a> Public Member Functions</h2></td></tr> <tr><td class="memItemLeft" align="right" valign="top">long </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#ac08eadda62dbf4324a3a516c884b5288">compare</a> (const Element &a, const Element &b) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">compare two elements, a and b. <a href="#ac08eadda62dbf4324a3a516c884b5288"></a><br/></td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::zz_p & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#addde9c4097f901609a5c725aa5eae459">inv</a> (NTL::zz_p &x, const NTL::zz_p &y) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::zz_p & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ae2b7e56bffcb22ca6562bbeece999a7a">invin</a> (NTL::zz_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">std::ostream & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ac24cd0b2f1c2e8fd42ac413c926d4b19">write</a> (std::ostream &os) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#af849df6a115b541eae21a52eef563429">isZero</a> (const NTL::zz_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a7abb239cedd7a0dc8078c42da343ca7f">isOne</a> (const NTL::zz_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a24a8f9919df452027d2b035898127389">characteristic</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a378127401cdc57f10baa71e34c85e1c9">cardinality</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const</td></tr> <tr><td colspan="2"><div class="groupHeader">Field Object Basics.</div></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9b2e67d87131ae67539834cd9cd3fa7a"></a><!-- doxytag: member="LinBox::PID_double::inv" ref="a9b2e67d87131ae67539834cd9cd3fa7a" args="(Element &x, const Element &y) const " --> Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a9b2e67d87131ae67539834cd9cd3fa7a">inv</a> (Element &x, const Element &y) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acf833d5877bb610fef71aac14074d5ce"></a><!-- doxytag: member="LinBox::PID_double::invin" ref="acf833d5877bb610fef71aac14074d5ce" args="(Element &x) const " --> Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#acf833d5877bb610fef71aac14074d5ce">invin</a> (Element &x) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acd22def76f55c19076bb6c86104beaf0"></a><!-- doxytag: member="LinBox::PID_double::write" ref="acd22def76f55c19076bb6c86104beaf0" args="(std::ostream &os) const " --> std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#acd22def76f55c19076bb6c86104beaf0">write</a> (std::ostream &os) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae9deecd1fa2dde00884d057829c9fcbb"></a><!-- doxytag: member="LinBox::PID_double::write" ref="ae9deecd1fa2dde00884d057829c9fcbb" args="(std::ostream &os, const Element &p) const " --> std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ae9deecd1fa2dde00884d057829c9fcbb">write</a> (std::ostream &os, const Element &p) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0865272ef30f366f2a7a06323ee7cc22"></a><!-- doxytag: member="LinBox::PID_double::isZero" ref="a0865272ef30f366f2a7a06323ee7cc22" args="(const Element &x) const " --> bool </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a0865272ef30f366f2a7a06323ee7cc22">isZero</a> (const Element &x) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab37695d9e0fb5b0064c85e8449ed596b"></a><!-- doxytag: member="LinBox::PID_double::isOne" ref="ab37695d9e0fb5b0064c85e8449ed596b" args="(const Element &x) const " --> bool </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ab37695d9e0fb5b0064c85e8449ed596b">isOne</a> (const Element &x) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ace99140b87ee63f431d90fb021f93d1e"></a><!-- doxytag: member="LinBox::PID_double::characteristic" ref="ace99140b87ee63f431d90fb021f93d1e" args="(long unsigned int &p) const " --> long unsigned int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ace99140b87ee63f431d90fb021f93d1e">characteristic</a> (long unsigned int &p) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a897da8ed179587ee29dbf724931e90cd"></a><!-- doxytag: member="LinBox::PID_double::characteristic" ref="a897da8ed179587ee29dbf724931e90cd" args="() const " --> long unsigned int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a897da8ed179587ee29dbf724931e90cd">characteristic</a> () const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aea4d4c3f059080408c3a6344cf9fff10"></a><!-- doxytag: member="LinBox::PID_double::characteristic" ref="aea4d4c3f059080408c3a6344cf9fff10" args="(integer &c) const " --> <a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#aea4d4c3f059080408c3a6344cf9fff10">characteristic</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af10b022b118ae703a360fd5e78758575"></a><!-- doxytag: member="LinBox::PID_double::cardinality" ref="af10b022b118ae703a360fd5e78758575" args="() const " --> long unsigned int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#af10b022b118ae703a360fd5e78758575">cardinality</a> () const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ade46ce0a344fcc718625a2296a8104ab"></a><!-- doxytag: member="LinBox::PID_double::cardinality" ref="ade46ce0a344fcc718625a2296a8104ab" args="(integer &c) const " --> <a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ade46ce0a344fcc718625a2296a8104ab">cardinality</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := cardinality of this field (-1 if infinite). <br/></td></tr> <tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a20cbd96d8b293aee5f2d234d611a014f"></a><!-- doxytag: member="LinBox::PID_double::init" ref="a20cbd96d8b293aee5f2d234d611a014f" args="(Element &x, const Src &s) const " --> template<typename Src > </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">Element & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a20cbd96d8b293aee5f2d234d611a014f">init</a> (Element &x, const Src &s) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a054db1ecf60ae64391b553dfc6316205"></a><!-- doxytag: member="LinBox::PID_double::read" ref="a054db1ecf60ae64391b553dfc6316205" args="(std::istream &is, Element &x) const " --> std::istream & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a054db1ecf60ae64391b553dfc6316205">read</a> (std::istream &is, Element &x) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="afed7ab1451380411e8e013b34a8adeee"></a><!-- doxytag: member="LinBox::PID_double::read" ref="afed7ab1451380411e8e013b34a8adeee" args="(std::istream &is) const " --> std::istream & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#afed7ab1451380411e8e013b34a8adeee">read</a> (std::istream &is) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td class="memTemplParams" colspan="2"><a class="anchor" id="ae3fb94223b3036ae9d9006cdf2b1773c"></a><!-- doxytag: member="LinBox::PID_double::convert" ref="ae3fb94223b3036ae9d9006cdf2b1773c" args="(T &x, const Element &y) const " --> template<typename T > </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">T & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ae3fb94223b3036ae9d9006cdf2b1773c">convert</a> (T &x, const Element &y) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">c := characteristic of this field (zero or prime). <br/></td></tr> <tr><td colspan="2"><div class="groupHeader">class RR.</div></td></tr> <tr><td colspan="2"><div class="groupText"><p>Rational number field.</p> <p>This field is provided as a convenience in a few places. Use with caution because expression swell.</p> <p>This specialization allows the <a class="el" href="group___unparametric_field.html">UnparametricField</a> template class to be used to wrap NTL's RR class as a <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> field. </p> </div></td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::RR & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a4ab4e35f0e78ae716f9ba42cfe167351">inv</a> (NTL::RR &x, const NTL::RR &y) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::RR & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a2297bddb2e9a22746c7e7ad1bec6e1d7">invin</a> (NTL::RR &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">std::ostream & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ac24cd0b2f1c2e8fd42ac413c926d4b19">write</a> (std::ostream &os) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a8e263fbf628f54675445ff48c2cdd1a8">isZero</a> (const NTL::RR &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#afcae003136710c3b0a6590ccb55b6226">isOne</a> (const NTL::RR &x) const</td></tr> <tr><td colspan="2"><div class="groupHeader"></div></td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::ZZ_p & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ae6fa705855d6601dc68421c3c0022bca">inv</a> (NTL::ZZ_p &x, const NTL::ZZ_p &y) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">NTL::ZZ_p & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a56d79f5a490c9bbdfe66a12a864d7dc3">invin</a> (NTL::ZZ_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">std::ostream & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ac24cd0b2f1c2e8fd42ac413c926d4b19">write</a> (std::ostream &os) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#abec083fa3d65819f5c40a4faaba5a3f7">isZero</a> (const NTL::ZZ_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a0427cd8bbe74d98c7bbf2a359b35b93c">isOne</a> (const NTL::ZZ_p &x) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a24a8f9919df452027d2b035898127389">characteristic</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const</td></tr> <tr><td class="memTemplParams" colspan="2">template<> </td></tr> <tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#a378127401cdc57f10baa71e34c85e1c9">cardinality</a> (<a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> &c) const</td></tr> <tr><td colspan="2"><div class="groupHeader">Implementation-Specific Methods.</div></td></tr> <tr><td colspan="2"><div class="groupText"><p>These methods are not required of all <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> fields and are included only for the implementation of this field template. </p> </div></td></tr> <tr><td class="memItemLeft" align="right" valign="top">const K & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#ac04298a7235c9229e6705eca35f1166e">operator()</a> (void) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Constant access operator. <a href="#ac04298a7235c9229e6705eca35f1166e"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">K & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_unparametric_field.html#abb076830170962897c3e08c23bb350fd">operator()</a> (void)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Access operator. <a href="#abb076830170962897c3e08c23bb350fd"></a><br/></td></tr> <tr><td colspan="2"><h2><a name="pub-static-methods"></a> Static Public Member Functions</h2></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a2be0fb262e17bd1ebf0bd3f7e7704951"></a><!-- doxytag: member="LinBox::PID_double::isUnit" ref="a2be0fb262e17bd1ebf0bd3f7e7704951" args="(const Element &x)" --> static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a2be0fb262e17bd1ebf0bd3f7e7704951">isUnit</a> (const Element &x)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">test if unit (1 or -1) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aceba1b808e1a4177b9da67c24ff27542"></a><!-- doxytag: member="LinBox::PID_double::abs" ref="aceba1b808e1a4177b9da67c24ff27542" args="(Element &x, const Element &a)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#aceba1b808e1a4177b9da67c24ff27542">abs</a> (Element &x, const Element &a)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">return absolute value <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a4485fae9e0268d37f6b3558bbffb47a0"></a><!-- doxytag: member="LinBox::PID_double::abs" ref="a4485fae9e0268d37f6b3558bbffb47a0" args="(const Element &a)" --> static Element </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a4485fae9e0268d37f6b3558bbffb47a0">abs</a> (const Element &a)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">return absolute value <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#ab506a052da3cb6a1065d33d7cc9e20b6">gcd</a> (Element &g, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">gcd (g, a, b). <a href="#ab506a052da3cb6a1065d33d7cc9e20b6"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a30d9320cec42ea07aa7e2d47be62f7d3">gcdin</a> (Element &g, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">gcding (g, b). <a href="#a30d9320cec42ea07aa7e2d47be62f7d3"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a93679556e8b086f46dbcb1a1664e038d">xgcd</a> (Element &g, Element &s, Element &t, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">xgcd (g, s, t, a, b) g = gcd(a, b) = a*s + b*t. <a href="#a93679556e8b086f46dbcb1a1664e038d"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a4999210a85cb9326e98e51a21c85cc08"></a><!-- doxytag: member="LinBox::PID_double::lcm" ref="a4999210a85cb9326e98e51a21c85cc08" args="(Element &c, const Element &a, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a4999210a85cb9326e98e51a21c85cc08">lcm</a> (Element &c, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">lcm (c, a, b) c = lcm (a, b) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a48a83c89fc59bb4c887231bf6fff0716"></a><!-- doxytag: member="LinBox::PID_double::lcmin" ref="a48a83c89fc59bb4c887231bf6fff0716" args="(Element &l, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a48a83c89fc59bb4c887231bf6fff0716">lcmin</a> (Element &l, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">lcmin (l, b) l = lcm (l, b) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac44c2c93f4f3d1fc7e3f59fcfae10133"></a><!-- doxytag: member="LinBox::PID_double::quo" ref="ac44c2c93f4f3d1fc7e3f59fcfae10133" args="(Element &q, const Element &a, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#ac44c2c93f4f3d1fc7e3f59fcfae10133">quo</a> (Element &q, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">quo (q, x, y) q = floor (x/y); <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9061851a249ff1cd3132cf8140652a7b"></a><!-- doxytag: member="LinBox::PID_double::rem" ref="a9061851a249ff1cd3132cf8140652a7b" args="(Element &r, const Element &a, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a9061851a249ff1cd3132cf8140652a7b">rem</a> (Element &r, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">rem (r, a, b) r = remindar of a / b <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="afe96ddceb328561a5725088860d22d46"></a><!-- doxytag: member="LinBox::PID_double::quoin" ref="afe96ddceb328561a5725088860d22d46" args="(Element &a, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#afe96ddceb328561a5725088860d22d46">quoin</a> (Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">quoin (a, b) a = quotient (a, b) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aba9fd022a206713f00c8117bf9b88efa"></a><!-- doxytag: member="LinBox::PID_double::remin" ref="aba9fd022a206713f00c8117bf9b88efa" args="(Element &a, const Element &b)" --> static Element & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#aba9fd022a206713f00c8117bf9b88efa">remin</a> (Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">quoin (a, b) a = quotient (a, b) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9522c7d01afd12832236ed40d191b11c"></a><!-- doxytag: member="LinBox::PID_double::quoRem" ref="a9522c7d01afd12832236ed40d191b11c" args="(Element &q, Element &r, const Element &a, const Element &b)" --> static void </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a9522c7d01afd12832236ed40d191b11c">quoRem</a> (Element &q, Element &r, const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">quoRem (q, r, a, b) q = [a/b], r = a - b*q |r| < |b|, and if r != 0, sign(r) = sign(b) <br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a24abdc64beace77514cf01fcf402371b"></a><!-- doxytag: member="LinBox::PID_double::isDivisor" ref="a24abdc64beace77514cf01fcf402371b" args="(const Element &a, const Element &b)" --> static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html#a24abdc64beace77514cf01fcf402371b">isDivisor</a> (const Element &a, const Element &b)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">isDivisor (a, b) Test if a | b. <br/></td></tr> </table> <hr/><a name="details" id="details"></a><h2>Detailed Description</h2> <div class="textblock"><p>NO DOC. </p> </div><hr/><h2>Member Function Documentation</h2> <a class="anchor" id="ac08eadda62dbf4324a3a516c884b5288"></a><!-- doxytag: member="LinBox::PID_double::compare" ref="ac08eadda62dbf4324a3a516c884b5288" args="(const Element &a, const Element &b) const " --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">long compare </td> <td>(</td> <td class="paramtype">const Element & </td> <td class="paramname"><em>a</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>b</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>compare two elements, a and b. </p> <p>return 1, if a > b return 0, if a = b; return -1. if a < b </p> </div> </div> <a class="anchor" id="ab506a052da3cb6a1065d33d7cc9e20b6"></a><!-- doxytag: member="LinBox::PID_double::gcd" ref="ab506a052da3cb6a1065d33d7cc9e20b6" args="(Element &g, const Element &a, const Element &b)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">static Element& gcd </td> <td>(</td> <td class="paramtype">Element & </td> <td class="paramname"><em>g</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>a</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>b</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline, static]</code></td> </tr> </table> </div> <div class="memdoc"> <p>gcd (g, a, b). </p> <p>return g = gcd (a, b) </p> </div> </div> <a class="anchor" id="a30d9320cec42ea07aa7e2d47be62f7d3"></a><!-- doxytag: member="LinBox::PID_double::gcdin" ref="a30d9320cec42ea07aa7e2d47be62f7d3" args="(Element &g, const Element &b)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">static Element& gcdin </td> <td>(</td> <td class="paramtype">Element & </td> <td class="paramname"><em>g</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>b</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline, static]</code></td> </tr> </table> </div> <div class="memdoc"> <p>gcding (g, b). </p> <p>return g = gcd (g, b) </p> </div> </div> <a class="anchor" id="a93679556e8b086f46dbcb1a1664e038d"></a><!-- doxytag: member="LinBox::PID_double::xgcd" ref="a93679556e8b086f46dbcb1a1664e038d" args="(Element &g, Element &s, Element &t, const Element &a, const Element &b)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">static Element& xgcd </td> <td>(</td> <td class="paramtype">Element & </td> <td class="paramname"><em>g</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">Element & </td> <td class="paramname"><em>s</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">Element & </td> <td class="paramname"><em>t</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>a</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Element & </td> <td class="paramname"><em>b</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline, static]</code></td> </tr> </table> </div> <div class="memdoc"> <p>xgcd (g, s, t, a, b) g = gcd(a, b) = a*s + b*t. </p> <p>The coefficients s and t are defined according to the standard Euclidean algorithm applied to |a| and |b|, with the signs then adjusted according to the signs of a and b. </p> </div> </div> <a class="anchor" id="addde9c4097f901609a5c725aa5eae459"></a><!-- doxytag: member="LinBox::PID_double::inv" ref="addde9c4097f901609a5c725aa5eae459" args="(NTL::zz_p &x, const NTL::zz_p &y) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::zz_p & inv </td> <td>(</td> <td class="paramtype">NTL::zz_p & </td> <td class="paramname"><em>x</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const NTL::zz_p & </td> <td class="paramname"><em>y</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / y This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> <tr><td class="paramname">y</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a4ab4e35f0e78ae716f9ba42cfe167351"></a><!-- doxytag: member="LinBox::PID_double::inv" ref="a4ab4e35f0e78ae716f9ba42cfe167351" args="(NTL::RR &x, const NTL::RR &y) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::RR & inv </td> <td>(</td> <td class="paramtype">NTL::RR & </td> <td class="paramname"><em>x</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const NTL::RR & </td> <td class="paramname"><em>y</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / y This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> <tr><td class="paramname">y</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="ae6fa705855d6601dc68421c3c0022bca"></a><!-- doxytag: member="LinBox::PID_double::inv" ref="ae6fa705855d6601dc68421c3c0022bca" args="(NTL::ZZ_p &x, const NTL::ZZ_p &y) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::ZZ_p & inv </td> <td>(</td> <td class="paramtype">NTL::ZZ_p & </td> <td class="paramname"><em>x</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const NTL::ZZ_p & </td> <td class="paramname"><em>y</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / y This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> <tr><td class="paramname">y</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="ae2b7e56bffcb22ca6562bbeece999a7a"></a><!-- doxytag: member="LinBox::PID_double::invin" ref="ae2b7e56bffcb22ca6562bbeece999a7a" args="(NTL::zz_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::zz_p & invin </td> <td>(</td> <td class="paramtype">NTL::zz_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / x This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a2297bddb2e9a22746c7e7ad1bec6e1d7"></a><!-- doxytag: member="LinBox::PID_double::invin" ref="a2297bddb2e9a22746c7e7ad1bec6e1d7" args="(NTL::RR &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::RR & invin </td> <td>(</td> <td class="paramtype">NTL::RR & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / x This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a56d79f5a490c9bbdfe66a12a864d7dc3"></a><!-- doxytag: member="LinBox::PID_double::invin" ref="a56d79f5a490c9bbdfe66a12a864d7dc3" args="(NTL::ZZ_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">NTL::ZZ_p & invin </td> <td>(</td> <td class="paramtype">NTL::ZZ_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>x = 1 / x This function assumes both field elements have already been constructed and initialized. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to x. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element (reference returned). </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="ac24cd0b2f1c2e8fd42ac413c926d4b19"></a><!-- doxytag: member="LinBox::PID_double::write" ref="ac24cd0b2f1c2e8fd42ac413c926d4b19" args="(std::ostream &os) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">std::ostream & write </td> <td>(</td> <td class="paramtype">std::ostream & </td> <td class="paramname"><em>os</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <dl class="return"><dt><b>Returns:</b></dt><dd>output stream to which field is written. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">os</td><td>output stream to which field is written. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="ac24cd0b2f1c2e8fd42ac413c926d4b19"></a><!-- doxytag: member="LinBox::PID_double::write" ref="ac24cd0b2f1c2e8fd42ac413c926d4b19" args="(std::ostream &os) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">std::ostream & write </td> <td>(</td> <td class="paramtype">std::ostream & </td> <td class="paramname"><em>os</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <dl class="return"><dt><b>Returns:</b></dt><dd>output stream to which field is written. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">os</td><td>output stream to which field is written. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="ac24cd0b2f1c2e8fd42ac413c926d4b19"></a><!-- doxytag: member="LinBox::PID_double::write" ref="ac24cd0b2f1c2e8fd42ac413c926d4b19" args="(std::ostream &os) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">std::ostream & write </td> <td>(</td> <td class="paramtype">std::ostream & </td> <td class="paramname"><em>os</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <dl class="return"><dt><b>Returns:</b></dt><dd>output stream to which field is written. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">os</td><td>output stream to which field is written. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="af849df6a115b541eae21a52eef563429"></a><!-- doxytag: member="LinBox::PID_double::isZero" ref="af849df6a115b541eae21a52eef563429" args="(const NTL::zz_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isZero </td> <td>(</td> <td class="paramtype">const NTL::zz_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to zero. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsZero function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals zero, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a8e263fbf628f54675445ff48c2cdd1a8"></a><!-- doxytag: member="LinBox::PID_double::isZero" ref="a8e263fbf628f54675445ff48c2cdd1a8" args="(const NTL::RR &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isZero </td> <td>(</td> <td class="paramtype">const NTL::RR & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to zero. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsZero function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals zero, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="abec083fa3d65819f5c40a4faaba5a3f7"></a><!-- doxytag: member="LinBox::PID_double::isZero" ref="abec083fa3d65819f5c40a4faaba5a3f7" args="(const NTL::ZZ_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isZero </td> <td>(</td> <td class="paramtype">const NTL::ZZ_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to zero. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsZero function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals zero, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a7abb239cedd7a0dc8078c42da343ca7f"></a><!-- doxytag: member="LinBox::PID_double::isOne" ref="a7abb239cedd7a0dc8078c42da343ca7f" args="(const NTL::zz_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isOne </td> <td>(</td> <td class="paramtype">const NTL::zz_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to one. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsOne function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals one, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="afcae003136710c3b0a6590ccb55b6226"></a><!-- doxytag: member="LinBox::PID_double::isOne" ref="afcae003136710c3b0a6590ccb55b6226" args="(const NTL::RR &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isOne </td> <td>(</td> <td class="paramtype">const NTL::RR & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to one. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsOne function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals one, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a0427cd8bbe74d98c7bbf2a359b35b93c"></a><!-- doxytag: member="LinBox::PID_double::isOne" ref="a0427cd8bbe74d98c7bbf2a359b35b93c" args="(const NTL::ZZ_p &x) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">bool isOne </td> <td>(</td> <td class="paramtype">const NTL::ZZ_p & </td> <td class="paramname"><em>x</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Test if field element is equal to one. This function assumes the field element has already been constructed and initialized. In this specialization, NTL's IsOne function is called. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>boolean true if equals one, false if not. </dd></dl> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">x</td><td>field element. </td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a24a8f9919df452027d2b035898127389"></a><!-- doxytag: member="LinBox::PID_double::characteristic" ref="a24a8f9919df452027d2b035898127389" args="(integer &c) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & characteristic </td> <td>(</td> <td class="paramtype"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td> <td class="paramname"><em>c</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Return integer representing characteristic of the field. Returns the modulus of the field, which should be prime. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>integer representing characteristic of the field. </dd></dl> </div> </div> <a class="anchor" id="a24a8f9919df452027d2b035898127389"></a><!-- doxytag: member="LinBox::PID_double::characteristic" ref="a24a8f9919df452027d2b035898127389" args="(integer &c) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & characteristic </td> <td>(</td> <td class="paramtype"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td> <td class="paramname"><em>c</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Return integer representing characteristic of the field. Returns the modulus of the field, which should be prime. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>integer representing characteristic of the field. </dd></dl> </div> </div> <a class="anchor" id="a378127401cdc57f10baa71e34c85e1c9"></a><!-- doxytag: member="LinBox::PID_double::cardinality" ref="a378127401cdc57f10baa71e34c85e1c9" args="(integer &c) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & cardinality </td> <td>(</td> <td class="paramtype"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td> <td class="paramname"><em>c</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Return integer representing cardinality of the field. Returns the modulus of the field, which should be prime. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>integer representing cardinality of the field </dd></dl> </div> </div> <a class="anchor" id="a378127401cdc57f10baa71e34c85e1c9"></a><!-- doxytag: member="LinBox::PID_double::cardinality" ref="a378127401cdc57f10baa71e34c85e1c9" args="(integer &c) const" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & cardinality </td> <td>(</td> <td class="paramtype"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a> & </td> <td class="paramname"><em>c</em></td><td>)</td> <td> const<code> [inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Return integer representing cardinality of the field. Returns the modulus of the field, which should be prime. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>integer representing cardinality of the field </dd></dl> </div> </div> <a class="anchor" id="ac04298a7235c9229e6705eca35f1166e"></a><!-- doxytag: member="LinBox::PID_double::operator()" ref="ac04298a7235c9229e6705eca35f1166e" args="(void) const " --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">const K& operator() </td> <td>(</td> <td class="paramtype">void </td> <td class="paramname"></td><td>)</td> <td> const<code> [inline, inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Constant access operator. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>constant reference to field object </dd></dl> </div> </div> <a class="anchor" id="abb076830170962897c3e08c23bb350fd"></a><!-- doxytag: member="LinBox::PID_double::operator()" ref="abb076830170962897c3e08c23bb350fd" args="(void)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">K& operator() </td> <td>(</td> <td class="paramtype">void </td> <td class="paramname"></td><td>)</td> <td><code> [inline, inherited]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Access operator. </p> <dl class="return"><dt><b>Returns:</b></dt><dd>reference to field object </dd></dl> </div> </div> <hr/>The documentation for this class was generated from the following file:<ul> <li><a class="el" href="_p_i_d-double_8h.html">PID-double.h</a></li> </ul> </div> <hr class="footer"/><address class="footer"><small>Generated on Tue Aug 30 2011 for linbox by  <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address> </body> </html>