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<li class="navelem"><a class="el" href="dir_af7a65628faedb761b81b231d2b4767b.html">benchmarks</a> </li>
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<div class="title">benchmark-crafixed.C File Reference<div class="ingroups"><a class="el" href="group__benchmarks.html">Benchmarks</a></div></div> </div>
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<p>Benchmarking fixed CRA routines.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include "<a class="el" href="benchmark_8h.html">benchmarks/benchmark.h</a>"</code><br/>
<code>#include "<a class="el" href="debug_8h.html">linbox/util/debug.h</a>"</code><br/>
<code>#include "<a class="el" href="field_2modular_8h.html">linbox/field/modular.h</a>"</code><br/>
<code>#include "<a class="el" href="field_2modular-balanced_8h.html">linbox/field/modular-balanced.h</a>"</code><br/>
<code>#include "<a class="el" href="matrix_2random-matrix_8h.html">linbox/matrix/random-matrix.h</a>"</code><br/>
<code>#include "<a class="el" href="blas-domain_8h.html">linbox/algorithms/blas-domain.h</a>"</code><br/>
<code>#include "<a class="el" href="rns_8h.html">linbox/algorithms/rns.h</a>"</code><br/>
<code>#include <<a class="el" href="cra-domain_8h.html">linbox/algorithms/cra-domain.h</a>></code><br/>
<code>#include "<a class="el" href="cra-early-multip_8h.html">linbox/algorithms/cra-early-multip.h</a>"</code><br/>
<code>#include "<a class="el" href="integer_8h.html">linbox/integer.h</a>"</code><br/>
<code>#include "<a class="el" href="iml__wrapper_8h.html">linbox/util/iml_wrapper.h</a>"</code><br/>
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Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespace_lin_box.html">LinBox</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Namespace in which all linbox code resides. </p>
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</p>
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Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template<bool Unsigned> </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="benchmark-crafixed_8_c.html#ab5825723081ce859f864aca9234e998d">bench_cra</a> (index_t n, index_t m, index_t l, <a class="el" href="class_lin_box_1_1_plot_data.html">LinBox::PlotData</a>< index_t > &Data)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Bench CRA. <a href="#ab5825723081ce859f864aca9234e998d"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Benchmarking fixed CRA routines. </p>
<p>Here we make benchmarks for CRT (Chinese Remaindering Theorem/Algorithm) in the following case. Let <img class="formulaInl" alt="$\mathbf{v}$" src="form_79.png"/> be a vector of size <img class="formulaInl" alt="$n$" src="form_80.png"/> and whose entries have at most <img class="formulaInl" alt="$l$" src="form_81.png"/> bits (signed or unsigned). Suppose that we only know <img class="formulaInl" alt="$\mathbf{v} \mod p_i$" src="form_82.png"/> for many primes <img class="formulaInl" alt="$p_i$" src="form_83.png"/>. We try and reconstruct <img class="formulaInl" alt="$\mathbf{v}$" src="form_79.png"/> from these residues.</p>
<p>We benchmark for one vector or <img class="formulaInl" alt="$m$" src="form_84.png"/> repetitions on different vectors.</p>
<p>We use the implementations in <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a>, Givaro, IML and NTL (if the latter two are available).</p>
<dl class="warning"><dt><b>Warning:</b></dt><dd>this is not a benchmark for one integer to reconstruct or a for BlasMatrix. </dd></dl>
</div><hr/><h2>Function Documentation</h2>
<a class="anchor" id="ab5825723081ce859f864aca9234e998d"></a><!-- doxytag: member="benchmark-crafixed.C::bench_cra" ref="ab5825723081ce859f864aca9234e998d" args="(index_t n, index_t m, index_t l, LinBox::PlotData< index_t > &Data)" -->
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<td class="memname">int bench_cra </td>
<td>(</td>
<td class="paramtype">index_t </td>
<td class="paramname"><em>n</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">index_t </td>
<td class="paramname"><em>m</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">index_t </td>
<td class="paramname"><em>l</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="class_lin_box_1_1_plot_data.html">LinBox::PlotData</a>< index_t > & </td>
<td class="paramname"><em>Data</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<div class="memdoc">
<p>Bench CRA. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>size of vector to reconstruct (>1) </td></tr>
<tr><td class="paramname">m</td><td>number of vectors to reconstruct </td></tr>
<tr><td class="paramname">l</td><td>size of the integers </td></tr>
</table>
</dd>
</dl>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">Unsigned</td><td>use >=0 random integers or not. </td></tr>
</table>
</dd>
</dl>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">Data</td><td>collects timings </td></tr>
</table>
</dd>
</dl>
</div>
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