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<a href="#pub-methods">Public Member Functions</a>  </div>
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<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 &lt;givaro-extension.h&gt;</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">&#160;</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 &amp;S, const <a class="el" href="class_lin_box_1_1_givaro_extension.html">Target</a> &amp;T)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a63b764be4d814b6dfd4cc4f505d65e72"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">Elt &amp;&#160;</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 &amp;t, const SrcElt &amp;s) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Image.  <a href="#a15890c7679158eb56da7563599012350"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">SrcElt &amp;&#160;</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 &amp;s, const Elt &amp;t) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Preimage.  <a href="#a6df3483355dd13bc3348c1bd0f90d01c"></a><br/></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;class BaseField&gt;<br/>
class LinBox::Hom&lt; BaseField, GivaroExtension&lt; BaseField &gt; &gt;</h3>

<p>NO DOC. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a63b764be4d814b6dfd4cc4f505d65e72"></a><!-- doxytag: member="LinBox::Hom&lt; BaseField, GivaroExtension&lt; BaseField &gt; &gt;::Hom" ref="a63b764be4d814b6dfd4cc4f505d65e72" args="(const Source &amp;S, const Target &amp;T)" -->
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<div class="memproto">
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          <td class="memname"><a class="el" href="class_lin_box_1_1_hom.html">Hom</a> </td>
          <td>(</td>
          <td class="paramtype">const Source &amp;&#160;</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> &amp;&#160;</td>
          <td class="paramname"><em>T</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
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<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>

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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a15890c7679158eb56da7563599012350"></a><!-- doxytag: member="LinBox::Hom&lt; BaseField, GivaroExtension&lt; BaseField &gt; &gt;::image" ref="a15890c7679158eb56da7563599012350" args="(Elt &amp;t, const SrcElt &amp;s) const " -->
<div class="memitem">
<div class="memproto">
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          <td class="memname">Elt&amp; image </td>
          <td>(</td>
          <td class="paramtype">Elt &amp;&#160;</td>
          <td class="paramname"><em>t</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">const SrcElt &amp;&#160;</td>
          <td class="paramname"><em>s</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const<code> [inline]</code></td>
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<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>

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<a class="anchor" id="a6df3483355dd13bc3348c1bd0f90d01c"></a><!-- doxytag: member="LinBox::Hom&lt; BaseField, GivaroExtension&lt; BaseField &gt; &gt;::preimage" ref="a6df3483355dd13bc3348c1bd0f90d01c" args="(SrcElt &amp;s, const Elt &amp;t) const " -->
<div class="memitem">
<div class="memproto">
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          <td class="memname">SrcElt&amp; preimage </td>
          <td>(</td>
          <td class="paramtype">SrcElt &amp;&#160;</td>
          <td class="paramname"><em>s</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Elt &amp;&#160;</td>
          <td class="paramname"><em>t</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td> const<code> [inline]</code></td>
        </tr>
      </table>
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<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>
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