<!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: Hom< BaseField, GivaroExtension< BaseField > > Class Template 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 + 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Functions</a> </div> <div class="headertitle"> <div class="title">Hom< BaseField, GivaroExtension< BaseField > > Class Template Reference</div> </div> </div> <div class="contents"> <!-- doxytag: class="LinBox::Hom< BaseField, GivaroExtension< BaseField > >" --> <p>NO DOC. <a href="class_lin_box_1_1_hom_3_01_base_field_00_01_givaro_extension_3_01_base_field_01_4_01_4.html#details">More...</a></p> <p><code>#include <givaro-extension.h></code></p> <table class="memberdecls"> <tr><td colspan="2"><h2><a name="pub-methods"></a> Public Member Functions</h2></td></tr> <tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_hom_3_01_base_field_00_01_givaro_extension_3_01_base_field_01_4_01_4.html#a63b764be4d814b6dfd4cc4f505d65e72">Hom</a> (const Source &S, const <a class="el" href="class_lin_box_1_1_givaro_extension.html">Target</a> &T)</td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <a href="#a63b764be4d814b6dfd4cc4f505d65e72"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">Elt & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_hom_3_01_base_field_00_01_givaro_extension_3_01_base_field_01_4_01_4.html#a15890c7679158eb56da7563599012350">image</a> (Elt &t, const SrcElt &s) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Image. <a href="#a15890c7679158eb56da7563599012350"></a><br/></td></tr> <tr><td class="memItemLeft" align="right" valign="top">SrcElt & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_hom_3_01_base_field_00_01_givaro_extension_3_01_base_field_01_4_01_4.html#a6df3483355dd13bc3348c1bd0f90d01c">preimage</a> (SrcElt &s, const Elt &t) const </td></tr> <tr><td class="mdescLeft"> </td><td class="mdescRight">Preimage. <a href="#a6df3483355dd13bc3348c1bd0f90d01c"></a><br/></td></tr> </table> <hr/><a name="details" id="details"></a><h2>Detailed Description</h2> <div class="textblock"><h3>template<class BaseField><br/> class LinBox::Hom< BaseField, GivaroExtension< BaseField > ></h3> <p>NO DOC. </p> </div><hr/><h2>Constructor & Destructor Documentation</h2> <a class="anchor" id="a63b764be4d814b6dfd4cc4f505d65e72"></a><!-- doxytag: member="LinBox::Hom< BaseField, GivaroExtension< BaseField > >::Hom" ref="a63b764be4d814b6dfd4cc4f505d65e72" args="(const Source &S, const Target &T)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="class_lin_box_1_1_hom.html">Hom</a> </td> <td>(</td> <td class="paramtype">const Source & </td> <td class="paramname"><em>S</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const <a class="el" href="class_lin_box_1_1_givaro_extension.html">Target</a> & </td> <td class="paramname"><em>T</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Constructor. </p> <p>Construct a homomorphism from a specific source ring S and target field T with Hom(S, T). The default behaviour is error. Specializations define all actual homomorphisms. </p> </div> </div> <hr/><h2>Member Function Documentation</h2> <a class="anchor" id="a15890c7679158eb56da7563599012350"></a><!-- doxytag: member="LinBox::Hom< BaseField, GivaroExtension< BaseField > >::image" ref="a15890c7679158eb56da7563599012350" args="(Elt &t, const SrcElt &s) const " --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">Elt& image </td> <td>(</td> <td class="paramtype">Elt & </td> <td class="paramname"><em>t</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const SrcElt & </td> <td class="paramname"><em>s</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Image. </p> <p>image(t, s) implements the homomorphism, assigning the t the value of the image of s under the mapping.</p> <p>The default behaviour is a no-op. </p> </div> </div> <a class="anchor" id="a6df3483355dd13bc3348c1bd0f90d01c"></a><!-- doxytag: member="LinBox::Hom< BaseField, GivaroExtension< BaseField > >::preimage" ref="a6df3483355dd13bc3348c1bd0f90d01c" args="(SrcElt &s, const Elt &t) const " --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname">SrcElt& preimage </td> <td>(</td> <td class="paramtype">SrcElt & </td> <td class="paramname"><em>s</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Elt & </td> <td class="paramname"><em>t</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td> const<code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Preimage. </p> <p>If possible, preimage(s,t) assigns a value to s such that the image of s is t. Otherwise behaviour is unspecified. An error may be thrown, a conventional value may be set, or an arb value set.</p> <p>The default behaviour is a no-op. </p> </div> </div> <hr/>The documentation for this class was generated from the following file:<ul> <li><a class="el" href="givaro-extension_8h.html">givaro-extension.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>