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<li class="navelem"><a class="el" href="namespacedatasketches.html">datasketches</a></li><li class="navelem"><a class="el" href="classdatasketches_1_1jaccard__similarity__base.html">jaccard_similarity_base</a></li> </ul>
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<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
<a href="classdatasketches_1_1jaccard__similarity__base-members.html">List of all members</a> </div>
<div class="headertitle"><div class="title">jaccard_similarity_base&lt; Union, Intersection, ExtractKey &gt; Class Template Reference</div></div>
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<p>Base class for Jaccard similarity.
<a href="classdatasketches_1_1jaccard__similarity__base.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="theta__jaccard__similarity__base_8hpp_source.html">theta_jaccard_similarity_base.hpp</a>&gt;</code></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-static-methods" name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:a8a2af62ca89e1120a6019ee10cd90e04" id="r_a8a2af62ca89e1120a6019ee10cd90e04"><td class="memTemplParams" colspan="2">template&lt;typename SketchA , typename SketchB &gt; </td></tr>
<tr class="memitem:a8a2af62ca89e1120a6019ee10cd90e04"><td class="memTemplItemLeft" align="right" valign="top">static std::array&lt; double, 3 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classdatasketches_1_1jaccard__similarity__base.html#a8a2af62ca89e1120a6019ee10cd90e04">jaccard</a> (const SketchA &amp;sketch_a, const SketchB &amp;sketch_b, uint64_t seed=DEFAULT_SEED)</td></tr>
<tr class="memdesc:a8a2af62ca89e1120a6019ee10cd90e04"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Jaccard similarity index with upper and lower bounds. <br /></td></tr>
<tr class="separator:a8a2af62ca89e1120a6019ee10cd90e04"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a18c18c5c7351430540000bf360f523fc" id="r_a18c18c5c7351430540000bf360f523fc"><td class="memTemplParams" colspan="2">template&lt;typename SketchA , typename SketchB &gt; </td></tr>
<tr class="memitem:a18c18c5c7351430540000bf360f523fc"><td class="memTemplItemLeft" align="right" valign="top">static bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classdatasketches_1_1jaccard__similarity__base.html#a18c18c5c7351430540000bf360f523fc">exactly_equal</a> (const SketchA &amp;sketch_a, const SketchB &amp;sketch_b, uint64_t seed=DEFAULT_SEED)</td></tr>
<tr class="memdesc:a18c18c5c7351430540000bf360f523fc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns true if the two given sketches are equivalent. <br /></td></tr>
<tr class="separator:a18c18c5c7351430540000bf360f523fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a919ce3dd7d15658fe67eb359368e9f07" id="r_a919ce3dd7d15658fe67eb359368e9f07"><td class="memTemplParams" colspan="2">template&lt;typename SketchA , typename SketchB &gt; </td></tr>
<tr class="memitem:a919ce3dd7d15658fe67eb359368e9f07"><td class="memTemplItemLeft" align="right" valign="top">static bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classdatasketches_1_1jaccard__similarity__base.html#a919ce3dd7d15658fe67eb359368e9f07">similarity_test</a> (const SketchA &amp;actual, const SketchB &amp;expected, double threshold, uint64_t seed=DEFAULT_SEED)</td></tr>
<tr class="memdesc:a919ce3dd7d15658fe67eb359368e9f07"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests similarity of an actual Sketch against an expected Sketch. <br /></td></tr>
<tr class="separator:a919ce3dd7d15658fe67eb359368e9f07"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5bc3426c328c625eb345a5c00c755004" id="r_a5bc3426c328c625eb345a5c00c755004"><td class="memTemplParams" colspan="2">template&lt;typename SketchA , typename SketchB &gt; </td></tr>
<tr class="memitem:a5bc3426c328c625eb345a5c00c755004"><td class="memTemplItemLeft" align="right" valign="top">static bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classdatasketches_1_1jaccard__similarity__base.html#a5bc3426c328c625eb345a5c00c755004">dissimilarity_test</a> (const SketchA &amp;actual, const SketchB &amp;expected, double threshold, uint64_t seed=DEFAULT_SEED)</td></tr>
<tr class="memdesc:a5bc3426c328c625eb345a5c00c755004"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests dissimilarity of an actual Sketch against an expected Sketch. <br /></td></tr>
<tr class="separator:a5bc3426c328c625eb345a5c00c755004"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><div class="compoundTemplParams">template&lt;typename Union, typename Intersection, typename ExtractKey&gt;<br />
class datasketches::jaccard_similarity_base&lt; Union, Intersection, ExtractKey &gt;</div><p>Base class for Jaccard similarity. </p>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="a8a2af62ca89e1120a6019ee10cd90e04" name="a8a2af62ca89e1120a6019ee10cd90e04"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8a2af62ca89e1120a6019ee10cd90e04">&#9670;&#160;</a></span>jaccard()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Union , typename Intersection , typename ExtractKey &gt; </div>
<div class="memtemplate">
template&lt;typename SketchA , typename SketchB &gt; </div>
<table class="mlabels">
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<td class="mlabels-left">
<table class="memname">
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<td class="memname">static std::array&lt; double, 3 &gt; jaccard </td>
<td>(</td>
<td class="paramtype">const SketchA &amp;&#160;</td>
<td class="paramname"><em>sketch_a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const SketchB &amp;&#160;</td>
<td class="paramname"><em>sketch_b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>seed</em> = <code>DEFAULT_SEED</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Computes the Jaccard similarity index with upper and lower bounds. </p>
<p>The Jaccard similarity index <em>J(A,B) = (A ^ B)/(A U B)</em> is used to measure how similar the two sketches are to each other. If J = 1.0, the sketches are considered equal. If J = 0, the two sketches are disjoint. A Jaccard of .95 means the overlap between the two sets is 95% of the union of the two sets.</p>
<p>Note: For very large pairs of sketches, where the configured nominal entries of the sketches are 2^25 or 2^26, this method may produce unpredictable results.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sketch_a</td><td>given sketch A </td></tr>
<tr><td class="paramname">sketch_b</td><td>given sketch B </td></tr>
<tr><td class="paramname">seed</td><td>for the hash function that was used to create the sketch </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>a double array {LowerBound, Estimate, UpperBound} of the Jaccard index. The Upper and Lower bounds are for a confidence interval of 95.4% or +/- 2 standard deviations. </dd></dl>
</div>
</div>
<a id="a18c18c5c7351430540000bf360f523fc" name="a18c18c5c7351430540000bf360f523fc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a18c18c5c7351430540000bf360f523fc">&#9670;&#160;</a></span>exactly_equal()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Union , typename Intersection , typename ExtractKey &gt; </div>
<div class="memtemplate">
template&lt;typename SketchA , typename SketchB &gt; </div>
<table class="mlabels">
<tr>
<td class="mlabels-left">
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<td class="memname">static bool exactly_equal </td>
<td>(</td>
<td class="paramtype">const SketchA &amp;&#160;</td>
<td class="paramname"><em>sketch_a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const SketchB &amp;&#160;</td>
<td class="paramname"><em>sketch_b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>seed</em> = <code>DEFAULT_SEED</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns true if the two given sketches are equivalent. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sketch_a</td><td>the given sketch A </td></tr>
<tr><td class="paramname">sketch_b</td><td>the given sketch B </td></tr>
<tr><td class="paramname">seed</td><td>for the hash function that was used to create the sketch </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the two given sketches are exactly equal </dd></dl>
</div>
</div>
<a id="a919ce3dd7d15658fe67eb359368e9f07" name="a919ce3dd7d15658fe67eb359368e9f07"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a919ce3dd7d15658fe67eb359368e9f07">&#9670;&#160;</a></span>similarity_test()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Union , typename Intersection , typename ExtractKey &gt; </div>
<div class="memtemplate">
template&lt;typename SketchA , typename SketchB &gt; </div>
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static bool similarity_test </td>
<td>(</td>
<td class="paramtype">const SketchA &amp;&#160;</td>
<td class="paramname"><em>actual</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const SketchB &amp;&#160;</td>
<td class="paramname"><em>expected</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>threshold</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>seed</em> = <code>DEFAULT_SEED</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
</tr>
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<p>Tests similarity of an actual Sketch against an expected Sketch. </p>
<p>Computes the lower bound of the Jaccard index <em>J<sub>LB</sub></em> of the actual and expected sketches. if <em>J<sub>LB</sub> &ge; threshold</em>, then the sketches are considered to be similar with a confidence of 97.7%.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">actual</td><td>the sketch to be tested </td></tr>
<tr><td class="paramname">expected</td><td>the reference sketch that is considered to be correct </td></tr>
<tr><td class="paramname">threshold</td><td>a real value between zero and one </td></tr>
<tr><td class="paramname">seed</td><td>for the hash function that was used to create the sketch </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the similarity of the two sketches is greater than the given threshold with at least 97.7% confidence </dd></dl>
</div>
</div>
<a id="a5bc3426c328c625eb345a5c00c755004" name="a5bc3426c328c625eb345a5c00c755004"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5bc3426c328c625eb345a5c00c755004">&#9670;&#160;</a></span>dissimilarity_test()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Union , typename Intersection , typename ExtractKey &gt; </div>
<div class="memtemplate">
template&lt;typename SketchA , typename SketchB &gt; </div>
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static bool dissimilarity_test </td>
<td>(</td>
<td class="paramtype">const SketchA &amp;&#160;</td>
<td class="paramname"><em>actual</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const SketchB &amp;&#160;</td>
<td class="paramname"><em>expected</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>threshold</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>seed</em> = <code>DEFAULT_SEED</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Tests dissimilarity of an actual Sketch against an expected Sketch. </p>
<p>Computes the upper bound of the Jaccard index <em>J<sub>UB</sub></em> of the actual and expected sketches. if <em>J<sub>UB</sub> &le; threshold</em>, then the sketches are considered to be dissimilar with a confidence of 97.7%.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">actual</td><td>the sketch to be tested </td></tr>
<tr><td class="paramname">expected</td><td>the reference sketch that is considered to be correct </td></tr>
<tr><td class="paramname">threshold</td><td>a real value between zero and one </td></tr>
<tr><td class="paramname">seed</td><td>for the hash function that was used to create the sketch </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the dissimilarity of the two sketches is greater than the given threshold with at least 97.7% confidence </dd></dl>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li>theta/include/<a class="el" href="theta__jaccard__similarity__base_8hpp_source.html">theta_jaccard_similarity_base.hpp</a></li>
</ul>
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