examples/output/AllPairs.html

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<title>Wiki: All Pairs</title>
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<div class=Section1>

<h1>All Pairs<o:p></o:p></h1>

<p class=MsoNormal><wiki>This is the third and final fixture of a suite that
make up the AllPairsExample. Like with AllFiles, we expand wildcard characters
in path specifications to get lists of tests. And, like in AllCombinations, we
enumerate cases drawing from these lists one test at a time in sequence. But
here our goal is only to test all possible pairs of test, which will require
fewer cases. </p>


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<hr size=2 width="100%" align=center>

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<p>Here is the same specification we used to test the CalculatorExample in
AllCombinations. Try it using AllPairs. </p>

<p><a href="run.cgi">http:run.cgi</a> </p>

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  <p class=MsoNormal>eg.AllPairs </p>
  </td>
 </tr>
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  <td style='padding:2.25pt 2.25pt 2.25pt 2.25pt'>
  <p class=MsoNormal>input/AllPairs/magnitude/*.html </p>
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<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td colspan=2> <font color="#808080">5</font></td></tr>
<tr>
<td> <font color="#808080">30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">multiply.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">sine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td colspan=2> <font color="#808080">6</font></td></tr>
<tr>
<td> <font color="#808080">30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">no-change.html</font></td>
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<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td colspan=2> <font color="#808080">7</font></td></tr>
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<td> <font color="#808080">360+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
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<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td colspan=2> <font color="#808080">8</font></td></tr>
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<td> <font color="#808080">360+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">multiply.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td> <font color="#808080">sine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td colspan=2> <font color="#808080">9</font></td></tr>
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<td> <font color="#808080">360+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
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<td> <font color="#808080">cosine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td colspan=2> <font color="#808080">10</font></td></tr>
<tr>
<td> <font color="#808080">90-30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">change-sign.html</font></td>
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<tr>
<td> <font color="#808080">cosine.html</font></td>
<td bgcolor="#ffcfcf">0 right, 1 wrong, 0 ignores, 0 exceptions[!]</td></tr>
<tr>
<td colspan=2> <font color="#808080">11</font></td></tr>
<tr>
<td> <font color="#808080">90-30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">multiply.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">sine.html</font></td>
<td bgcolor="#ffcfcf">0 right, 1 wrong, 0 ignores, 0 exceptions[!]</td></tr>
<tr>
<td colspan=2> <font color="#808080">12</font></td></tr>
<tr>
<td> <font color="#808080">90-30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">no-change.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">cosine.html</font></td>
<td bgcolor="#ffcfcf">0 right, 1 wrong, 0 ignores, 0 exceptions[!]</td></tr>
<tr>
<td colspan=2> <font color="#808080">13</font></td></tr>
<tr>
<td> <font color="#808080">180+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">change-sign.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">cosine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td colspan=2> <font color="#808080">14</font></td></tr>
<tr>
<td> <font color="#808080">180+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">change-sign.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">sine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td colspan=2> <font color="#808080">15</font></td></tr>
<tr>
<td> <font color="#808080">180+30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">multiply.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">cosine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td colspan=2> <font color="#808080">16</font></td></tr>
<tr>
<td> <font color="#808080">30.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">multiply.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">0 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">sine.html</font></td>
<td bgcolor="#cfffcf"> <font color="#808080"></font> <font color="#808080">1 right, 0 wrong, 0 ignores, 0 exceptions</font></td></tr></table>

<p>To meet the &quot;all pairs&quot; requirement we need at least n X m cases,
where n and m are the sizes of the two largest categories. That means with only
two categories all combinations and all pairs are the same. The marvel of the
all pairs algorithm is that it squeezes draws from additional categories into
these same cases and possibly a few more. </p>

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 mso-padding-alt:2.25pt 2.25pt 2.25pt 2.25pt'>
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  <p class=MsoNormal>fit.Summary </p>
  </td>
 </tr>
<tr bgcolor="#ffcfcf">
<td> <font color="#808080">counts</font></td>
<td> <font color="#808080">45 right, 3 wrong, 0 ignores, 0 exceptions</font></td></tr>
<tr>
<td> <font color="#808080">input file</font></td>
<td> <font color="#808080">input/AllPairs.html</font></td></tr>
<tr>
<td> <font color="#808080">input update</font></td>
<td> <font color="#808080">Sun Apr 30 14:32:22 2006</font></td></tr>
<tr>
<td> <font color="#808080">output file</font></td>
<td> <font color="#808080">output/AllPairs.html</font></td></tr>
<tr>
<td> <font color="#808080">run date</font></td>
<td> <font color="#808080">Wed May &nbsp;3 18:10:02 2006</font></td></tr>
<tr>
<td> <font color="#808080">run elapsed time</font></td>
<td> <font color="#808080"> 0 wallclock secs ( 0.00 usr + &nbsp;0.02 sys = &nbsp;0.02 CPU)</font></td></tr></table>


<div class=MsoNormal align=center style='text-align:center'>

<hr size=2 width="100%" align=center>

</div>


<p><strong>Implementation</strong> </p>

<p>The algorithm is largely JamesBach's from the source cited on the
AllPairsExample page. My implementation can be summarized as follows. </p>

<ul type=disc>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l2 level1 lfo1;tab-stops:list 36.0pt'>Fill test cases with tests
     drawn from a list of <em>most wanted</em> pairs. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l2 level1 lfo1;tab-stops:list 36.0pt'>Fill one case at a time.
     Never reexamine a case once filled. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l2 level1 lfo1;tab-stops:list 36.0pt'>Recirculate used pairs back
     to the list but as <em>less wanted</em>. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l2 level1 lfo1;tab-stops:list 36.0pt'>Quit filling cases when all
     pairs have been used at least once. </li>
</ul>

<p class=MsoNormal>The case currently being filled is called the <em>slug.</em>
A pair will fit the slug only if the following hold. </p>

<ul type=disc>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l3 level1 lfo2;tab-stops:list 36.0pt'>At least one item of a pair
     is of a category that is not already filled. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l3 level1 lfo2;tab-stops:list 36.0pt'>The other item must match the
     slug in its category or must also be unfilled. </li>
</ul>

<p class=MsoNormal>The fixture uses these helper objects to represent the state
of the algorithm. </p>

<ul type=disc>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Item -- A value from within
     a category. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Pair -- Two Items drawn
     from different categories. </li>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Var -- A category, one per
     list of files. </li>
</ul>

<p class=MsoNormal>See the source. </p>

<ul type=disc>
 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
     mso-list:l0 level1 lfo4;tab-stops:list 36.0pt'><a
     href="Release\Source\eg\AllPairs.java">http:Release/Source/eg/AllPairs.java</a>
     </li>
</ul>

<p class=MsoNormal>See AllPairsAlgorithm for some tests we've written for this
algorithm itself. </wiki></p>


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<p class=MsoNormal>Last edited November 9, 2002 </p>

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