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<a href="#func-members">Functions</a>  </div>
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<div class="title">test-nullspace.C File Reference<div class="ingroups"><a class="el" href="group__tests.html">tests</a></div></div>  </div>
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<p>Tests the dense nullspace functions for Zp.  
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;../linbox/linbox-config.h&quot;</code><br/>
<code>#include &lt;iostream&gt;</code><br/>
<code>#include &quot;../linbox/integer.h&quot;</code><br/>
<code>#include &quot;../linbox/matrix/matrix-domain.h&quot;</code><br/>
<code>#include &quot;../linbox/field/modular.h&quot;</code><br/>
<code>#include &quot;../linbox/algorithms/dense-nullspace.h&quot;</code><br/>
<code>#include &lt;vector&gt;</code><br/>
<code>#include &quot;./test-common.h&quot;</code><br/>
<code>#include &quot;linbox/algorithms/linbox-tags.h&quot;</code><br/>
</div><table class="memberdecls">
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">size_t &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="test-nullspace_8_c.html#ad93e094ba4dc007452fa86851aa16293">RandIntInInt</a> (const size_t &amp;s, size_t &amp;RIII, const int &amp;seed=0)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">gives a random number such that <img class="formulaInl" alt="$0 \leq RIII < s$" src="form_77.png"/>.  <a href="#ad93e094ba4dc007452fa86851aa16293"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1d194026ff27f619a9b834718eb7cbd8"></a><!-- doxytag: member="test&#45;nullspace.C::RandomPermutation" ref="a1d194026ff27f619a9b834718eb7cbd8" args="(size_t *P, const size_t &amp;len)" -->
void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="test-nullspace_8_c.html#a1d194026ff27f619a9b834718eb7cbd8">RandomPermutation</a> (size_t *P, const size_t &amp;len)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a random Lapack style Permutation <code>P</code> of size <code>len</code>. <br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="ae7cfe340b5a546f2ed1ba576009659b2"></a><!-- doxytag: member="test&#45;nullspace.C::RandomMatrixWithRank" ref="ae7cfe340b5a546f2ed1ba576009659b2" args="(const Field &amp;F, typename Field::Element *A, const size_t &amp;m, const size_t &amp;n, const size_t &amp;rank)" -->
template&lt;class Field &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="test-nullspace_8_c.html#ae7cfe340b5a546f2ed1ba576009659b2">RandomMatrixWithRank</a> (const <a class="el" href="class_lin_box_1_1_modular_3_01uint32__t_01_4.html">Field</a> &amp;F, typename Field::Element *A, const size_t &amp;m, const size_t &amp;n, const size_t &amp;rank)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds a <code>m</code> x <code>n</code> random matrix of rank <code>rank</code> over field <code>F</code>. <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class Field &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="test-nullspace_8_c.html#ab35e7f9bf7989ac298caef6f54579f89">CheckRank</a> (const <a class="el" href="class_lin_box_1_1_modular_3_01uint32__t_01_4.html">Field</a> &amp;F, const typename Field::Element *A, const size_t &amp;m, const size_t &amp;n, const size_t &amp;lda, const size_t &amp;alledged_rank)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks we got the right rank.  <a href="#ab35e7f9bf7989ac298caef6f54579f89"></a><br/></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Tests the dense nullspace functions for Zp. </p>
<dl class="test"><dt><b><a class="el" href="test.html#_test000052">Test:</a></b></dt><dd>dense nullspace </dd></dl>
</div><hr/><h2>Function Documentation</h2>
<a class="anchor" id="ad93e094ba4dc007452fa86851aa16293"></a><!-- doxytag: member="test&#45;nullspace.C::RandIntInInt" ref="ad93e094ba4dc007452fa86851aa16293" args="(const size_t &amp;s, size_t &amp;RIII, const int &amp;seed=0)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">size_t&amp; RandIntInInt </td>
          <td>(</td>
          <td class="paramtype">const size_t &amp;&#160;</td>
          <td class="paramname"><em>s</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">size_t &amp;&#160;</td>
          <td class="paramname"><em>RIII</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const int &amp;&#160;</td>
          <td class="paramname"><em>seed</em> = <code>0</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>gives a random number such that <img class="formulaInl" alt="$0 \leq RIII < s$" src="form_77.png"/>. </p>
<p>basic.. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">s</td><td>sup </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">seed</td><td>seed. If <code>0</code> (default) we create a new one. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">RIII</td><td>random integer in the interval <img class="formulaInl" alt="$[[0, s-1]]$" src="form_78.png"/>. </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>a reference to <code>RIII</code> </dd></dl>

</div>
</div>
<a class="anchor" id="ab35e7f9bf7989ac298caef6f54579f89"></a><!-- doxytag: member="test&#45;nullspace.C::CheckRank" ref="ab35e7f9bf7989ac298caef6f54579f89" args="(const Field &amp;F, const typename Field::Element *A, const size_t &amp;m, const size_t &amp;n, const size_t &amp;lda, const size_t &amp;alledged_rank)" -->
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          <td class="memname">bool CheckRank </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_lin_box_1_1_modular_3_01uint32__t_01_4.html">Field</a> &amp;&#160;</td>
          <td class="paramname"><em>F</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const typename Field::Element *&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t &amp;&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t &amp;&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t &amp;&#160;</td>
          <td class="paramname"><em>lda</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t &amp;&#160;</td>
          <td class="paramname"><em>alledged_rank</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Checks we got the right rank. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">F</td><td>field </td></tr>
    <tr><td class="paramname">A</td><td>matrix </td></tr>
    <tr><td class="paramname">m</td><td>rows </td></tr>
    <tr><td class="paramname">n</td><td>cols </td></tr>
    <tr><td class="paramname">lda</td><td>leadin dimmension </td></tr>
    <tr><td class="paramname">alledged_rank</td><td>supposedly correct rank.</td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd><code>alledged_rank==rank</code>(A) </dd></dl>

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