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<!-- doxytag: class="FFPACK::UnparametricField" -->
<p><code>#include &lt;unparametric.h&gt;</code></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef K&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">The field's element type.  <a href="#a3f09bdc246930a5dde1ed03a2357b656"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td colspan="2"><div class="groupHeader">Field Object Basics.</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a985dd4e28b137322f6a5d331885839ca">UnparametricField</a> (long int q=0, size_t e=1)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds this field to have characteristic q and cardinality q<sup>e</sup>.  <a href="#a985dd4e28b137322f6a5d331885839ca"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a309831cc7dfa85db37424b57d4841a97">UnparametricField</a> (const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html">UnparametricField</a> &amp;F)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">construct this field as copy of F.  <a href="#a309831cc7dfa85db37424b57d4841a97"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a0ae24d8fbd4e059e1c5e8721e085c136">~UnparametricField</a> ()</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds this field to have characteristic q and cardinality q<sup>e</sup>.  <a href="#a0ae24d8fbd4e059e1c5e8721e085c136"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html">UnparametricField</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#adec919f52ad979dcc63380578c67270f">operator=</a> (const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html">UnparametricField</a> &amp;F) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds this field to have characteristic q and cardinality q<sup>e</sup>.  <a href="#adec919f52ad979dcc63380578c67270f"></a><br/></td></tr>
<tr><td colspan="2"><div class="groupHeader">Data Object Management.</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p>first argument is set and the value is also returned. </p>
</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a68f2737b952645751c2b305fa60408a4">init</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a68f2737b952645751c2b305fa60408a4"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename Src &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a20cbd96d8b293aee5f2d234d611a014f">init</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const Src &amp;s) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a20cbd96d8b293aee5f2d234d611a014f"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#ae3fb94223b3036ae9d9006cdf2b1773c">convert</a> (T &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization. --dpritcha  <a href="#ae3fb94223b3036ae9d9006cdf2b1773c"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a7ed3d5d8b4d9f1ab407365c020b18c58">assign</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a7ed3d5d8b4d9f1ab407365c020b18c58"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">unsigned long &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3c3877b3944c70755a7fc82e95b6c031">cardinality</a> (unsigned long &amp;c) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a3c3877b3944c70755a7fc82e95b6c031"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">unsigned long &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a06c5e03a6605f5b203cb0b7bfadab33d">characteristic</a> (unsigned long &amp;c) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a06c5e03a6605f5b203cb0b7bfadab33d"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#adbe92d7252e19e06c4737e8a77948d4d">cardinality</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#adbe92d7252e19e06c4737e8a77948d4d"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a052a284ef76c72bdcd5a83006c697cd1">characteristic</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y. Caution: it is via cast to long. Good candidate for specialization.  <a href="#a052a284ef76c72bdcd5a83006c697cd1"></a><br/></td></tr>
<tr><td colspan="2"><div class="groupHeader">Comparison Predicates</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a0763bd76c2ed93bc54973d632b98ec90">areEqual</a> (const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x == y  <a href="#a0763bd76c2ed93bc54973d632b98ec90"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a0865272ef30f366f2a7a06323ee7cc22">isZero</a> (const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x == 0  <a href="#a0865272ef30f366f2a7a06323ee7cc22"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#ab37695d9e0fb5b0064c85e8449ed596b">isOne</a> (const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x == 1  <a href="#ab37695d9e0fb5b0064c85e8449ed596b"></a><br/></td></tr>
<tr><td colspan="2"><div class="groupHeader">Arithmetic Operations</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p>The first argument is set and is also the return value. </p>
</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#aadf4e83f1ac414b0caa1bef2154dabdb">add</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;z) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y + z  <a href="#aadf4e83f1ac414b0caa1bef2154dabdb"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a2f2a41d18bd65f48cb5fb894fcd3b51b">sub</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;z) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y - z  <a href="#a2f2a41d18bd65f48cb5fb894fcd3b51b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#adf251fca0ae6bc767b0e9c5f2d6081f7">mul</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;z) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y*z  <a href="#adf251fca0ae6bc767b0e9c5f2d6081f7"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a4d8f0ac0be4b8a5a074f441d74bf4276">div</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;z) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := y/z  <a href="#a4d8f0ac0be4b8a5a074f441d74bf4276"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a608fc0675ac7788b016f686fa3a6ec7e">neg</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := -y  <a href="#a608fc0675ac7788b016f686fa3a6ec7e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a9b2e67d87131ae67539834cd9cd3fa7a">inv</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := 1/y  <a href="#a9b2e67d87131ae67539834cd9cd3fa7a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#aec320c67057a8dac91afe608f2aceb94">axpy</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;z, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;a, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">z := a*x + y  <a href="#aec320c67057a8dac91afe608f2aceb94"></a><br/></td></tr>
<tr><td colspan="2"><div class="groupHeader">Inplace Arithmetic Operations</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p>The first argument is modified and the result is the return value. </p>
</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a25ec1b0d3d2d8da69636a121ef781a55">addin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := x + y  <a href="#a25ec1b0d3d2d8da69636a121ef781a55"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#aa14037ab7a2e80c0e663a760acbaff15">subin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := x - y  <a href="#aa14037ab7a2e80c0e663a760acbaff15"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a6e17c2a1321787d89a51b9f0eee0f408">mulin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := x*y  <a href="#a6e17c2a1321787d89a51b9f0eee0f408"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#ac5966c66651795d1636a032e8bcd28ef">divin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := x/y  <a href="#ac5966c66651795d1636a032e8bcd28ef"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a540bdfc0ce896b62d1a13247a2acfce2">negin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := -x  <a href="#a540bdfc0ce896b62d1a13247a2acfce2"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#acf833d5877bb610fef71aac14074d5ce">invin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">x := 1/x  <a href="#acf833d5877bb610fef71aac14074d5ce"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#af16b8237dc2518c1baff40c07428b9f1">axpyin</a> (<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;y, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;a, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">y := a*x + y  <a href="#af16b8237dc2518c1baff40c07428b9f1"></a><br/></td></tr>
<tr><td colspan="2"><div class="groupHeader">Input/Output Operations</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#acd22def76f55c19076bb6c86104beaf0">write</a> (std::ostream &amp;os) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Print field.  <a href="#acd22def76f55c19076bb6c86104beaf0"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">std::istream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#afed7ab1451380411e8e013b34a8adeee">read</a> (std::istream &amp;is) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Read field.  <a href="#afed7ab1451380411e8e013b34a8adeee"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a332d58769d8dc6ba08d307db48386588">write</a> (std::ostream &amp;os, const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Print field element.  <a href="#a332d58769d8dc6ba08d307db48386588"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">std::istream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a054db1ecf60ae64391b553dfc6316205">read</a> (std::istream &amp;is, <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;x) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Read field element.  <a href="#a054db1ecf60ae64391b553dfc6316205"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pro-attribs"></a>
Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">long int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#ae293ffd450a901dbcf450423ca64ff0c">_p</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">long int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a22cb79a6a065c1ca50884cce0b46b87c">_card</a></td></tr>
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<h3>template&lt;class K&gt;<br/>
 class FFPACK::UnparametricField&lt; K &gt;</h3>

<hr/><h2>Member Typedef Documentation</h2>
<a class="anchor" id="a3f09bdc246930a5dde1ed03a2357b656"></a><!-- doxytag: member="FFPACK::UnparametricField::Element" ref="a3f09bdc246930a5dde1ed03a2357b656" args="" -->
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<p>The field's element type. </p>
<p>Type K must provide a default constructor, a copy constructor, a destructor, and an assignment operator. </p>

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</div>
<hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a985dd4e28b137322f6a5d331885839ca"></a><!-- doxytag: member="FFPACK::UnparametricField::UnparametricField" ref="a985dd4e28b137322f6a5d331885839ca" args="(long int q=0, size_t e=1)" -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html">UnparametricField</a> </td>
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<p>Builds this field to have characteristic q and cardinality q<sup>e</sup>. </p>
<p>This constructor must be defined in a specialization. </p>

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<a class="anchor" id="a309831cc7dfa85db37424b57d4841a97"></a><!-- doxytag: member="FFPACK::UnparametricField::UnparametricField" ref="a309831cc7dfa85db37424b57d4841a97" args="(const UnparametricField &amp;F)" -->
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<p>construct this field as copy of F. </p>

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<a class="anchor" id="a0ae24d8fbd4e059e1c5e8721e085c136"></a><!-- doxytag: member="FFPACK::UnparametricField::~UnparametricField" ref="a0ae24d8fbd4e059e1c5e8721e085c136" args="()" -->
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          <td class="memname">~<a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html">UnparametricField</a> </td>
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<p>Builds this field to have characteristic q and cardinality q<sup>e</sup>. </p>
<p>This constructor must be defined in a specialization. </p>

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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="adec919f52ad979dcc63380578c67270f"></a><!-- doxytag: member="FFPACK::UnparametricField::operator=" ref="adec919f52ad979dcc63380578c67270f" args="(const UnparametricField &amp;F) const " -->
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<p>Builds this field to have characteristic q and cardinality q<sup>e</sup>. </p>
<p>This constructor must be defined in a specialization. </p>

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<a class="anchor" id="a68f2737b952645751c2b305fa60408a4"></a><!-- doxytag: member="FFPACK::UnparametricField::init" ref="a68f2737b952645751c2b305fa60408a4" args="(Element &amp;x) const " -->
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<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<a class="anchor" id="ae3fb94223b3036ae9d9006cdf2b1773c"></a><!-- doxytag: member="FFPACK::UnparametricField::convert" ref="ae3fb94223b3036ae9d9006cdf2b1773c" args="(T &amp;x, const Element &amp;y) const " -->
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          <td class="paramname"><em>y</em>&#160;</td>
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<p>x := y. Caution: it is via cast to long. Good candidate for specialization. --dpritcha </p>

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<a class="anchor" id="a7ed3d5d8b4d9f1ab407365c020b18c58"></a><!-- doxytag: member="FFPACK::UnparametricField::assign" ref="a7ed3d5d8b4d9f1ab407365c020b18c58" args="(Element &amp;x, const Element &amp;y) const " -->
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<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<div class="memdoc">

<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<a class="anchor" id="adbe92d7252e19e06c4737e8a77948d4d"></a><!-- doxytag: member="FFPACK::UnparametricField::cardinality" ref="adbe92d7252e19e06c4737e8a77948d4d" args="() const " -->
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<div class="memdoc">

<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<a class="anchor" id="a052a284ef76c72bdcd5a83006c697cd1"></a><!-- doxytag: member="FFPACK::UnparametricField::characteristic" ref="a052a284ef76c72bdcd5a83006c697cd1" args="() const " -->
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<div class="memdoc">

<p>x := y. Caution: it is via cast to long. Good candidate for specialization. </p>

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<a class="anchor" id="a0763bd76c2ed93bc54973d632b98ec90"></a><!-- doxytag: member="FFPACK::UnparametricField::areEqual" ref="a0763bd76c2ed93bc54973d632b98ec90" args="(const Element &amp;x, const Element &amp;y) const " -->
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<div class="memdoc">

<p>x == y </p>

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<a class="anchor" id="a0865272ef30f366f2a7a06323ee7cc22"></a><!-- doxytag: member="FFPACK::UnparametricField::isZero" ref="a0865272ef30f366f2a7a06323ee7cc22" args="(const Element &amp;x) const " -->
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<div class="memdoc">

<p>x == 0 </p>

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<a class="anchor" id="ab37695d9e0fb5b0064c85e8449ed596b"></a><!-- doxytag: member="FFPACK::UnparametricField::isOne" ref="ab37695d9e0fb5b0064c85e8449ed596b" args="(const Element &amp;x) const " -->
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<div class="memdoc">

<p>x == 1 </p>

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<a class="anchor" id="aadf4e83f1ac414b0caa1bef2154dabdb"></a><!-- doxytag: member="FFPACK::UnparametricField::add" ref="aadf4e83f1ac414b0caa1bef2154dabdb" args="(Element &amp;x, const Element &amp;y, const Element &amp;z) const " -->
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          <td class="paramkey"></td>
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<div class="memdoc">

<p>x := y + z </p>

</div>
</div>
<a class="anchor" id="a2f2a41d18bd65f48cb5fb894fcd3b51b"></a><!-- doxytag: member="FFPACK::UnparametricField::sub" ref="a2f2a41d18bd65f48cb5fb894fcd3b51b" args="(Element &amp;x, const Element &amp;y, const Element &amp;z) const " -->
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          <td class="paramkey"></td>
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<div class="memdoc">

<p>x := y - z </p>

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<a class="anchor" id="adf251fca0ae6bc767b0e9c5f2d6081f7"></a><!-- doxytag: member="FFPACK::UnparametricField::mul" ref="adf251fca0ae6bc767b0e9c5f2d6081f7" args="(Element &amp;x, const Element &amp;y, const Element &amp;z) const " -->
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          <td class="paramkey"></td>
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          <td class="paramname"><em>z</em>&#160;</td>
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          <td>)</td>
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<div class="memdoc">

<p>x := y*z </p>

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<a class="anchor" id="a4d8f0ac0be4b8a5a074f441d74bf4276"></a><!-- doxytag: member="FFPACK::UnparametricField::div" ref="a4d8f0ac0be4b8a5a074f441d74bf4276" args="(Element &amp;x, const Element &amp;y, const Element &amp;z) const " -->
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          <td class="paramname"><em>y</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>z</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<div class="memdoc">

<p>x := y/z </p>

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</div>
<a class="anchor" id="a608fc0675ac7788b016f686fa3a6ec7e"></a><!-- doxytag: member="FFPACK::UnparametricField::neg" ref="a608fc0675ac7788b016f686fa3a6ec7e" args="(Element &amp;x, const Element &amp;y) const " -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a>&amp; neg </td>
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          <td class="paramname"><em>x</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>y</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<div class="memdoc">

<p>x := -y </p>

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</div>
<a class="anchor" id="a9b2e67d87131ae67539834cd9cd3fa7a"></a><!-- doxytag: member="FFPACK::UnparametricField::inv" ref="a9b2e67d87131ae67539834cd9cd3fa7a" args="(Element &amp;x, const Element &amp;y) const " -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a>&amp; inv </td>
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          <td class="paramname"><em>x</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<div class="memdoc">

<p>x := 1/y </p>

</div>
</div>
<a class="anchor" id="aec320c67057a8dac91afe608f2aceb94"></a><!-- doxytag: member="FFPACK::UnparametricField::axpy" ref="aec320c67057a8dac91afe608f2aceb94" args="(Element &amp;z, const Element &amp;a, const Element &amp;x, const Element &amp;y) const " -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a>&amp; axpy </td>
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          <td class="paramname"><em>z</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>a</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
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<div class="memdoc">

<p>z := a*x + y </p>

</div>
</div>
<a class="anchor" id="a25ec1b0d3d2d8da69636a121ef781a55"></a><!-- doxytag: member="FFPACK::UnparametricField::addin" ref="a25ec1b0d3d2d8da69636a121ef781a55" args="(Element &amp;x, const Element &amp;y) const " -->
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          <td>(</td>
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          <td class="paramname"><em>x</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
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</div>
<div class="memdoc">

<p>x := x + y </p>

</div>
</div>
<a class="anchor" id="aa14037ab7a2e80c0e663a760acbaff15"></a><!-- doxytag: member="FFPACK::UnparametricField::subin" ref="aa14037ab7a2e80c0e663a760acbaff15" args="(Element &amp;x, const Element &amp;y) const " -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a>&amp; subin </td>
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          <td class="paramname"><em>x</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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          <td></td>
          <td>)</td>
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      </table>
</div>
<div class="memdoc">

<p>x := x - y </p>

</div>
</div>
<a class="anchor" id="a6e17c2a1321787d89a51b9f0eee0f408"></a><!-- doxytag: member="FFPACK::UnparametricField::mulin" ref="a6e17c2a1321787d89a51b9f0eee0f408" args="(Element &amp;x, const Element &amp;y) const " -->
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          <td class="memname"><a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a>&amp; mulin </td>
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          <td class="paramname"><em>x</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#a3f09bdc246930a5dde1ed03a2357b656">Element</a> &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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          <td>)</td>
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      </table>
</div>
<div class="memdoc">

<p>x := x*y </p>

</div>
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<p>x := x/y </p>

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<p>x := -x </p>

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<p>x := 1/x </p>

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<p>y := a*x + y </p>

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<p>Print field. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>output stream to which field is written. </dd></dl>
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<p>Read field. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>input stream from which field is read. </dd></dl>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">is</td><td>input stream from which field is read. </td></tr>
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<a class="anchor" id="a332d58769d8dc6ba08d307db48386588"></a><!-- doxytag: member="FFPACK::UnparametricField::write" ref="a332d58769d8dc6ba08d307db48386588" args="(std::ostream &amp;os, const Element &amp;x) const " -->
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<p>Print field element. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>output stream to which field element 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 element is written. </td></tr>
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<p>Read field element. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>input stream from which field element is read. </dd></dl>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
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<hr/><h2>Field Documentation</h2>
<a class="anchor" id="ae293ffd450a901dbcf450423ca64ff0c"></a><!-- doxytag: member="FFPACK::UnparametricField::_p" ref="ae293ffd450a901dbcf450423ca64ff0c" args="" -->
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          <td class="memname">long int <a class="el" href="class_f_f_p_a_c_k_1_1_unparametric_field.html#ae293ffd450a901dbcf450423ca64ff0c">_p</a><code> [protected]</code></td>
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<div class="memdoc">

</div>
</div>
<a class="anchor" id="a22cb79a6a065c1ca50884cce0b46b87c"></a><!-- doxytag: member="FFPACK::UnparametricField::_card" ref="a22cb79a6a065c1ca50884cce0b46b87c" args="" -->
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="unparametric_8h.html">unparametric.h</a></li>
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