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<h1>AUtils Class Reference</h1><!-- doxytag: class="AUtils" -->provides some generic functions for non-standard arithmetic operations  

<p>
<code>#include &lt;<a class="el" href="AUtils_8h_source.html">AUtils.h</a>&gt;</code>
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<a href="classAUtils-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
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<tr><td colspan="2"><br><h2>Static Public Member Functions</h2></td></tr>
<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#f9c7c2703ed87e5aad75aac82c8fd8d8">max</a> (T a, T b)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#f220dd121df6af5964748f88893a85fe">min</a> (T a, T b)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#08a3db06be42144d0934630b13f8c752">div_roundup</a> (T a, T b)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#f7ff6bc642bf332e6cc613103853731d">bminus</a> (T a, T b)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T , T top&gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#02b8b162d6269df6c475b880bde08675">bplus</a> (T a, T b)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#5a4d99a3fa36ec765e9b65acf0e8a040">bplus</a> (T a, T b, T top)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T , class CTYPE &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#b74cc65a31d6db34236e9c442462449f">modsum</a> (T *s, CTYPE n, T m)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class IT , class FT &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static IT&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#b4ab4289d795888dec7ce02c61d90de1">roundup</a> (FT x)</td></tr>

<tr><td class="memTemplParams" nowrap colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">static T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classAUtils.html#64ee7c66bba701485aa439c897640dbb">log2_ceil</a> (T n)</td></tr>

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<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="f7ff6bc642bf332e6cc613103853731d"></a><!-- doxytag: member="AUtils::bminus" ref="f7ff6bc642bf332e6cc613103853731d" args="(T a, T b)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::bminus           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>a</em>, </td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
substraction with the modification to return 0 (T()) for negative difference (needs &gt;, -, T()) 
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<a class="anchor" name="5a4d99a3fa36ec765e9b65acf0e8a040"></a><!-- doxytag: member="AUtils::bplus" ref="5a4d99a3fa36ec765e9b65acf0e8a040" args="(T a, T b, T top)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::bplus           </td>
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          <td class="paramtype">T&nbsp;</td>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>b</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>top</em></td><td>&nbsp;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>

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<a class="anchor" name="02b8b162d6269df6c475b880bde08675"></a><!-- doxytag: member="AUtils::bplus" ref="02b8b162d6269df6c475b880bde08675" args="(T a, T b)" -->
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<div class="memproto">
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template&lt;class T , T top&gt; </div>
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          <td class="memname">T AUtils::bplus           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>a</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>b</em></td><td>&nbsp;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
addition with the modification to return top for sums that are larger than top 
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<a class="anchor" name="08a3db06be42144d0934630b13f8c752"></a><!-- doxytag: member="AUtils::div_roundup" ref="08a3db06be42144d0934630b13f8c752" args="(T a, T b)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::div_roundup           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
returns a divided through b rounded up to nearest "integer" (needs =, --, +, /) 
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<a class="anchor" name="64ee7c66bba701485aa439c897640dbb"></a><!-- doxytag: member="AUtils::log2_ceil" ref="64ee7c66bba701485aa439c897640dbb" args="(T n)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::log2_ceil           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>n</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, static]</code></td>
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<p>
compute 2-logarithm of n (rounded up to nearest int), i.e. number of bits needed to store values from {0,...,n-1} 
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<a class="anchor" name="f9c7c2703ed87e5aad75aac82c8fd8d8"></a><!-- doxytag: member="AUtils::max" ref="f9c7c2703ed87e5aad75aac82c8fd8d8" args="(T a, T b)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::max           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>a</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>b</em></td><td>&nbsp;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
return the maximum of a and b (needs &gt;) 
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<a class="anchor" name="f220dd121df6af5964748f88893a85fe"></a><!-- doxytag: member="AUtils::min" ref="f220dd121df6af5964748f88893a85fe" args="(T a, T b)" -->
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template&lt;class T &gt; </div>
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          <td class="memname">T AUtils::min           </td>
          <td>(</td>
          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>a</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&nbsp;</td>
          <td class="paramname"> <em>b</em></td><td>&nbsp;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
return the minimum of a and b (needs &lt;) 
</div>
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<a class="anchor" name="b74cc65a31d6db34236e9c442462449f"></a><!-- doxytag: member="AUtils::modsum" ref="b74cc65a31d6db34236e9c442462449f" args="(T *s, CTYPE n, T m)" -->
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template&lt;class T , class CTYPE &gt; </div>
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          <td class="memname">T AUtils::modsum           </td>
          <td>(</td>
          <td class="paramtype">T *&nbsp;</td>
          <td class="paramname"> <em>s</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">CTYPE&nbsp;</td>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&nbsp;</td>
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          <td></td><td></td><td><code> [inline, static]</code></td>
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<p>
calculate the sum s[0]+...s[n-1] modulo m (needs =, +, % for T and =, CTYPE(), &lt;, ++ for CTYPE) 
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<a class="anchor" name="b4ab4289d795888dec7ce02c61d90de1"></a><!-- doxytag: member="AUtils::roundup" ref="b4ab4289d795888dec7ce02c61d90de1" args="(FT x)" -->
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template&lt;class IT , class FT &gt; </div>
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          <td>(</td>
          <td class="paramtype">FT&nbsp;</td>
          <td class="paramname"> <em>x</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, static]</code></td>
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<p>
round up x to nearest integer 
</div>
</div><p>
<hr>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="AUtils_8h_source.html">AUtils.h</a></ul>
</div>
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