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Re: [xsl] How to Do Random "Shuffle"?

2014-09-15 08:26:12
The FXSL stuff looks interesting--I will try to understand the random
number algorithms at some point.

As it's written for XSLT 1, would it be possible to re-implement using
XSLT 2 and therefore remove the implementation-specific stuff?

Cheers,

Eliot
—————
Eliot Kimber, Owner
Contrext, LLC
http://contrext.com




On 9/13/14, 11:40 AM, "Dimitre Novatchev dnovatchev(_at_)gmail(_dot_)com"
<xsl-list-service(_at_)lists(_dot_)mulberrytech(_dot_)com> wrote:

This can be done even with XSLT 1.0:

http://fxsl.sourceforge.net/articles/Random/Casting%20the%20Dice%20with%20
FXSL-htm.htm

More specifically, use the FXSL 1 stylesheet module randomList.xsl

Here is an existing test (demo):

When this transformation (testRandomList.xsl):

<xsl:stylesheet version="1.0"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform";
xmlns:ext="http://exslt.org/common";
xmlns:f="http://fxsl.sf.net/";
xmlns:mySquare="f:mySquare"
xmlns:myDouble="f:myDouble"
exclude-result-prefixes="xsl f ext mySquare myDouble"


 <xsl:import href="randomList.xsl"/>

 <xsl:output omit-xml-declaration="yes" indent="yes"/>
  <!-- This transformation must be applied to:
       numList.xml
    -->

 <mySquare:mySquare/>
 <myDouble:myDouble/>

 <xsl:template match="/">

   <xsl:variable name="vrtfRands">
     <xsl:call-template name="randomSequence">
       <xsl:with-param name="pLength" select="100"/>
     </xsl:call-template>
   </xsl:variable>

   Random Recursive Index (dScale (randomSequence 100)):

   <xsl:call-template name="_dScale">
     <xsl:with-param name="pRandSeq"
         select="ext:node-set($vrtfRands)/*"/>
   </xsl:call-template>

   Random Recursive Index 10:

   <xsl:variable name="vrtfRecIndex">
     <xsl:call-template name="_randomRecursiveIndex">
       <xsl:with-param name="pList"
       select="/*/*"/>
     </xsl:call-template>
   </xsl:variable>

   <xsl:variable name="vRecIndex"
             select="ext:node-set($vrtfRecIndex)/*"/>

   <xsl:for-each select="$vRecIndex">
     <xsl:copy-of select="."/>&#xA;
   </xsl:for-each>

   Randomized 10-elements list:
   <xsl:call-template name="_permutationFromRecursiveIndex">
     <xsl:with-param name="pList" select="/*/*"/>
     <xsl:with-param name="pRecIndex" select="$vRecIndex"/>
   </xsl:call-template>

   RandomizeList:
   <xsl:call-template name="randomizeList">
     <xsl:with-param name="pList" select="/*/*"/>
   </xsl:call-template>

   <xsl:variable name="vFunSquare"
        select="document('')/*/mySquare:*[1]"/>

   _mapFromRandIndex (^2) [1..10] seed:
   <xsl:call-template name="_mapFromRandIndex">
     <xsl:with-param name="pFun" select="$vFunSquare"/>
     <xsl:with-param name="pList" select="/*/*"/>
     <xsl:with-param name="pRecIndex" select="$vRecIndex"/>
   </xsl:call-template>

   <xsl:variable name="vFunDouble"
        select="document('')/*/myDouble:*[1]"/>

   randomMap (*2) [1..10] seed:
   <xsl:call-template name="randomMap">
     <xsl:with-param name="pFun" select="$vFunDouble"/>
     <xsl:with-param name="pList" select="/*/*"/>
   </xsl:call-template>

   randListIndex [1..10] seed:
   <xsl:call-template name="randListIndex">
     <xsl:with-param name="pList" select="/*/*"/>
   </xsl:call-template>

 </xsl:template>

 <xsl:template match="mySquare:*" mode="f:FXSL">
   <xsl:param name="arg1"/>

   <xsl:value-of select="$arg1 * $arg1"/>
 </xsl:template>
 <xsl:template match="myDouble:*" mode="f:FXSL">
   <xsl:param name="arg1"/>

   <xsl:value-of select="$arg1 + $arg1"/>
 </xsl:template>
</xsl:stylesheet>

is applied on this source XML document:

<nums>
 <num>01</num>
 <num>02</num>
 <num>03</num>
 <num>04</num>
 <num>05</num>
 <num>06</num>
 <num>07</num>
 <num>08</num>
 <num>09</num>
 <num>10</num>
</nums>

the result is:



   Random Recursive Index (dScale (randomSequence 100)):

   <el>27</el>
<el>90</el>
<el>14</el>
<el>78</el>
<el>65</el>
<el>13</el>
<el>27</el>
<el>85</el>
<el>75</el>
<el>33</el>
<el>31</el>
<el>26</el>
<el>9</el>
<el>40</el>
<el>31</el>
<el>80</el>
<el>19</el>
<el>44</el>
<el>52</el>
<el>7</el>
<el>8</el>
<el>73</el>
<el>55</el>
<el>16</el>
<el>68</el>
<el>20</el>
<el>29</el>
<el>4</el>
<el>3</el>
<el>30</el>
<el>51</el>
<el>41</el>
<el>14</el>
<el>32</el>
<el>66</el>
<el>4</el>
<el>19</el>
<el>51</el>
<el>48</el>
<el>59</el>
<el>30</el>
<el>1</el>
<el>49</el>
<el>57</el>
<el>14</el>
<el>53</el>
<el>13</el>
<el>10</el>
<el>10</el>
<el>38</el>
<el>13</el>
<el>37</el>
<el>13</el>
<el>36</el>
<el>22</el>
<el>7</el>
<el>28</el>
<el>25</el>
<el>28</el>
<el>7</el>
<el>29</el>
<el>3</el>
<el>34</el>
<el>28</el>
<el>7</el>
<el>13</el>
<el>14</el>
<el>5</el>
<el>32</el>
<el>25</el>
<el>25</el>
<el>24</el>
<el>8</el>
<el>26</el>
<el>23</el>
<el>14</el>
<el>11</el>
<el>18</el>
<el>15</el>
<el>6</el>
<el>5</el>
<el>6</el>
<el>9</el>
<el>4</el>
<el>8</el>
<el>14</el>
<el>12</el>
<el>12</el>
<el>5</el>
<el>2</el>
<el>5</el>
<el>1</el>
<el>4</el>
<el>1</el>
<el>4</el>
<el>4</el>
<el>1</el>
<el>2</el>
<el>1</el>
<el>1</el>

   Random Recursive Index 10:

   <el>3</el>
<el>9</el>
<el>2</el>
<el>6</el>
<el>5</el>
<el>1</el>
<el>2</el>
<el>3</el>
<el>2</el>
<el>1</el>

   Randomized 10-elements list:
   <el>03</el>
<el>10</el>
<el>02</el>
<el>08</el>
<el>07</el>
<el>01</el>
<el>05</el>
<el>09</el>
<el>06</el>
<el>04</el>

   RandomizeList:
   <el>03</el>
<el>10</el>
<el>02</el>
<el>08</el>
<el>07</el>
<el>01</el>
<el>05</el>
<el>09</el>
<el>06</el>
<el>04</el>

   _mapFromRandIndex (^2) [1..10] seed:
   <el>9</el>
<el>100</el>
<el>4</el>
<el>64</el>
<el>49</el>
<el>1</el>
<el>25</el>
<el>81</el>
<el>36</el>
<el>16</el>

   randomMap (*2) [1..10] seed:
   <el>6</el>
<el>20</el>
<el>4</el>
<el>16</el>
<el>14</el>
<el>2</el>
<el>10</el>
<el>18</el>
<el>12</el>
<el>8</el>

   randListIndex [1..10] seed:
   <el>3</el>
<el>10</el>
<el>2</el>
<el>8</el>
<el>7</el>
<el>1</el>
<el>5</el>
<el>9</el>
<el>6</el>
<el>4</el>

The last result gives us a random index of the integers in [1, 10]

These indexes can be used to select in a random order 10 nodes.

In XSLT 2 one can use the standard XPath function current-time() for
the creation of the seed:
http://www.w3.org/TR/xpath-functions/#func-current-time

Cheers,
Dimitre



On Sat, Sep 13, 2014 at 7:29 AM, Eliot Kimber ekimber(_at_)contrext(_dot_)com
<xsl-list-service(_at_)lists(_dot_)mulberrytech(_dot_)com> wrote:
Using XSLT 2 I need to implement rendering of "match table" questions
where you have two sets of items, the match item and the thing it
matches
to. I want to present this as a literal table, where the first column is
the match-from items in source order and the second column is the
match-to
items, in random order.

I think this is best characterized as a "shuffle" problem, where you
want
to reorder a list randomly but all items in the list must be accounted
for.

I can think of a recursive algorithm: given a list, generate a random
integer between 1 and the list length, select that item and add it to
the
result list, then call this function on the original list minus the node
you just selected.

Is there an easier or more efficient way to do it?

Thanks,

Eliot
—————
Eliot Kimber, Owner
Contrext, LLC
http://contrext.com




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