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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"><title>SuperLU: SRC/slu_dcomplex.h File Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.4.6 --><div class="tabs">  <ul>    <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>    <li><a href="annotated.html"><span>Data&nbsp;Structures</span></a></li>    <li id="current"><a href="files.html"><span>Files</span></a></li>  </ul></div><div class="tabs">  <ul>    <li><a href="files.html"><span>File&nbsp;List</span></a></li>    <li><a href="globals.html"><span>Globals</span></a></li>  </ul></div><h1>SRC/slu_dcomplex.h File Reference</h1>Header file for complex operations. <a href="#_details">More...</a><p><p><a href="slu__dcomplex_8h-source.html">Go to the source code of this file.</a><table border="0" cellpadding="0" cellspacing="0"><tr><td></td></tr><tr><td colspan="2"><br><h2>Data Structures</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">struct &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structdoublecomplex.html">doublecomplex</a></td></tr><tr><td colspan="2"><br><h2>Defines</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#35daa816dd5911bdb075aba8856f9cf0">z_add</a>(c, a, b)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex Addition c = a + b.  <a href="#35daa816dd5911bdb075aba8856f9cf0"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#8d01f55090621b481fcec184a2012ffb">z_sub</a>(c, a, b)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex Subtraction c = a - b.  <a href="#8d01f55090621b481fcec184a2012ffb"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#aa361695d091f77d512454ddbee3b2b3">zd_mult</a>(c, a, b)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex-Double Multiplication.  <a href="#aa361695d091f77d512454ddbee3b2b3"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#008009fa4c5e6733f840478ceb0fb8ae">zz_mult</a>(c, a, b)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex-Complex Multiplication.  <a href="#008009fa4c5e6733f840478ceb0fb8ae"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#8c08104b0130f14f6f40f17bee239e80">zz_conj</a>(a, b)</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">#define&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#fe2eaa3195b69824be150f4163f8d056">z_eq</a>(a, b)&nbsp;&nbsp;&nbsp;( (a)-&gt;r == (b)-&gt;r &amp;&amp; (a)-&gt;i == (b)-&gt;i )</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex equality testing.  <a href="#fe2eaa3195b69824be150f4163f8d056"></a><br></td></tr><tr><td colspan="2"><br><h2>Functions</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#bfe979e43a797b71939e267913abf791">z_div</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *, <a class="el" href="structdoublecomplex.html">doublecomplex</a> *, <a class="el" href="structdoublecomplex.html">doublecomplex</a> *)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Complex Division c = a/b.  <a href="#bfe979e43a797b71939e267913abf791"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#56231cc660c4a63d58ec6f02754b7d41">z_abs</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns sqrt(z.r^2 + z.i^2).  <a href="#56231cc660c4a63d58ec6f02754b7d41"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#366281128462d1635073d7794fda008a">z_abs1</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Approximates the abs. Returns abs(z.r) + abs(z.i).  <a href="#366281128462d1635073d7794fda008a"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#90ddba9274fa6a571dadf228763fee4b">z_exp</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *, <a class="el" href="structdoublecomplex.html">doublecomplex</a> *)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return the exponentiation.  <a href="#90ddba9274fa6a571dadf228763fee4b"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#753978ee017e26dbdab16a40cf45b2cb">d_cnjg</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *r, <a class="el" href="structdoublecomplex.html">doublecomplex</a> *z)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return the complex conjugate.  <a href="#753978ee017e26dbdab16a40cf45b2cb"></a><br></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="slu__dcomplex_8h.html#7a81445c4ec55ec40b6c5f3014887e61">d_imag</a> (<a class="el" href="structdoublecomplex.html">doublecomplex</a> *)</td></tr><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return the imaginary part.  <a href="#7a81445c4ec55ec40b6c5f3014887e61"></a><br></td></tr></table><hr><a name="_details"></a><h2>Detailed Description</h2><pre>   -- SuperLU routine (version 2.0) -- Univ. of California Berkeley, Xerox Palo Alto Research Center, and Lawrence Berkeley National Lab. November 15, 1997</pre><p><pre> Contains definitions for various complex operations. This header file is to be included in source files z*.c </pre> <hr><h2>Define Documentation</h2><a class="anchor" name="35daa816dd5911bdb075aba8856f9cf0"></a><!-- doxytag: member="slu_dcomplex.h::z_add" ref="35daa816dd5911bdb075aba8856f9cf0" args="(c, a, b)" --><p><table class="mdTable" cellpadding="2" cellspacing="0">  <tr>    <td class="mdRow">      <table cellpadding="0" cellspacing="0" border="0">        <tr>          <td class="md" nowrap valign="top">#define z_add          </td>          <td class="md" valign="top">(&nbsp;</td>          <td class="md" nowrap valign="top">c,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>a,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>b&nbsp;</td>          <td class="mdname1" valign="top" nowrap>          </td>          <td class="md" valign="top">&nbsp;)&nbsp;</td>          <td class="md" nowrap></td>        </tr>      </table>    </td>  </tr></table><table cellspacing="5" cellpadding="0" border="0">  <tr>    <td>      &nbsp;    </td>    <td><p><b>Value:</b><div class="fragment"><pre class="fragment">{ (c)-&gt;r = (a)-&gt;r + (b)-&gt;r; \                         (c)-&gt;i = (a)-&gt;i + (b)-&gt;i; }</pre></div>    </td>  </tr></table><a class="anchor" name="fe2eaa3195b69824be150f4163f8d056"></a><!-- doxytag: member="slu_dcomplex.h::z_eq" ref="fe2eaa3195b69824be150f4163f8d056" args="(a, b)" --><p><table class="mdTable" cellpadding="2" cellspacing="0">  <tr>    <td class="mdRow">      <table cellpadding="0" cellspacing="0" border="0">        <tr>          <td class="md" nowrap valign="top">#define z_eq          </td>          <td class="md" valign="top">(&nbsp;</td>          <td class="md" nowrap valign="top">a,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>b&nbsp;</td>          <td class="mdname1" valign="top" nowrap>          </td>          <td class="md" valign="top">&nbsp;)&nbsp;</td>          <td class="md" nowrap>&nbsp;&nbsp;&nbsp;( (a)-&gt;r == (b)-&gt;r &amp;&amp; (a)-&gt;i == (b)-&gt;i )</td>        </tr>      </table>    </td>  </tr></table><table cellspacing="5" cellpadding="0" border="0">  <tr>    <td>      &nbsp;    </td>    <td><p>    </td>  </tr></table><a class="anchor" name="8d01f55090621b481fcec184a2012ffb"></a><!-- doxytag: member="slu_dcomplex.h::z_sub" ref="8d01f55090621b481fcec184a2012ffb" args="(c, a, b)" --><p><table class="mdTable" cellpadding="2" cellspacing="0">  <tr>    <td class="mdRow">      <table cellpadding="0" cellspacing="0" border="0">        <tr>          <td class="md" nowrap valign="top">#define z_sub          </td>          <td class="md" valign="top">(&nbsp;</td>          <td class="md" nowrap valign="top">c,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>a,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>b&nbsp;</td>          <td class="mdname1" valign="top" nowrap>          </td>          <td class="md" valign="top">&nbsp;)&nbsp;</td>          <td class="md" nowrap></td>        </tr>      </table>    </td>  </tr></table><table cellspacing="5" cellpadding="0" border="0">  <tr>    <td>      &nbsp;    </td>    <td><p><b>Value:</b><div class="fragment"><pre class="fragment">{ (c)-&gt;r = (a)-&gt;r - (b)-&gt;r; \                         (c)-&gt;i = (a)-&gt;i - (b)-&gt;i; }</pre></div>    </td>  </tr></table><a class="anchor" name="aa361695d091f77d512454ddbee3b2b3"></a><!-- doxytag: member="slu_dcomplex.h::zd_mult" ref="aa361695d091f77d512454ddbee3b2b3" args="(c, a, b)" --><p><table class="mdTable" cellpadding="2" cellspacing="0">  <tr>    <td class="mdRow">      <table cellpadding="0" cellspacing="0" border="0">        <tr>          <td class="md" nowrap valign="top">#define zd_mult          </td>          <td class="md" valign="top">(&nbsp;</td>          <td class="md" nowrap valign="top">c,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>a,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>b&nbsp;</td>          <td class="mdname1" valign="top" nowrap>          </td>          <td class="md" valign="top">&nbsp;)&nbsp;</td>          <td class="md" nowrap></td>        </tr>      </table>    </td>  </tr></table><table cellspacing="5" cellpadding="0" border="0">  <tr>    <td>      &nbsp;    </td>    <td><p><b>Value:</b><div class="fragment"><pre class="fragment">{ (c)-&gt;r = (a)-&gt;r * (b); \                           (c)-&gt;i = (a)-&gt;i * (b); }</pre></div>    </td>  </tr></table><a class="anchor" name="8c08104b0130f14f6f40f17bee239e80"></a><!-- doxytag: member="slu_dcomplex.h::zz_conj" ref="8c08104b0130f14f6f40f17bee239e80" args="(a, b)" --><p><table class="mdTable" cellpadding="2" cellspacing="0">  <tr>    <td class="mdRow">      <table cellpadding="0" cellspacing="0" border="0">        <tr>          <td class="md" nowrap valign="top">#define zz_conj          </td>          <td class="md" valign="top">(&nbsp;</td>          <td class="md" nowrap valign="top">a,         <tr>          <td class="md" nowrap align="right"></td>          <td class="md"></td>          <td class="md" nowrap>b&nbsp;</td>          <td class="mdname1" valign="top" nowrap>          </td>          <td class="md" valign="top">&nbsp;)&nbsp;</td>          <td class="md" nowrap></td>        </tr>      </table>    </td>  </tr></table><table cellspacing="5" cellpadding="0" border="0">  <tr>    <td>      &nbsp;    </td>    <td><p><b>Value:</b><div class="fragment"><pre class="fragment">{ \        (a)-&gt;r = (b)-&gt;r; \        (a)-&gt;i = -((b)-&gt;i); \    }</pre></div>    </td>  </tr></table><a class="anchor" name="008009fa4c5e6733f840478ceb0fb8ae"></a><!-- doxytag: member="slu_dcomplex.h::zz_mult" ref="008009fa4c5e6733f840478ceb0fb8ae" args="(c, a, b)" --><p>

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