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Re: [xsl] XSLT repetition constructs

2019-03-08 14:24:01
Just one more interesting thing about the fold and scan functions --
yes, there is also a foldl-tree function:

One could specify compiling and running a program as a foldl() of
suitable argument functions.
Then, scanl() for the same functions will produce a full trace of the
run -- the results from each step in foldl(). This can be used for
debugging / verification.

We can imagine an XSLT 3.0+ processor written in a functional way, so
that running a transformation can be expressed as a foldl()
Then tracing/debugging this can be achieved simply by using scanl()  .

Hopefully we can see such tools in our lives.

Cheers,
Dimitre

On Thu, Mar 7, 2019 at 7:18 AM Dimitre Novatchev 
<dnovatchev(_at_)gmail(_dot_)com> wrote:

Yes, in Haskel there is a special function for this -- scanl

And this was implemented 15 years ago in FXSL:

Here is the code for f:scanl:

<xsl:stylesheet version="2.0"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform";
xmlns:f="http://fxsl.sf.net/";
exclude-result-prefixes="f"

    <xsl:import href="func-apply.xsl"/>

    <xsl:function name="f:scanl">
      <xsl:param name="pFunc" as="element()"/>
      <xsl:param name="pA0"/>
      <xsl:param name="pList" as="item()*"/>

      <xsl:sequence select=
             "$pA0,
             (if (exists($pList))
               then
                 f:scanl($pFunc,
                         f:apply($pFunc, $pA0, $pList[1]),
                         $pList[position() > 1]
                         )
               else ()
             )"
      />
    </xsl:function>

  <xsl:function name="f:scanl1">
    <xsl:param name="pFun" as="element()"/>
    <xsl:param name="pList" as="item()+"/>

    <xsl:sequence select="f:scanl($pFun, $pList[1], $pList[position() > 1])"/>
  </xsl:function>
</xsl:stylesheet>


And a test:

<xsl:stylesheet version="2.0"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform";
xmlns:f="http://fxsl.sf.net/";
  exclude-result-prefixes="f"

  <xsl:import href="../f/func-scanl.xsl"/>
  <xsl:import href="../f/func-Operators.xsl"/>

  <xsl:output omit-xml-declaration="yes" indent="yes"/>

  <xsl:template match="/">
    <xsl:value-of separator=", " select="f:scanl(f:add(), 0, /*/*)"/>
     <xsl:text>&#xA;- - - - - - - - - - -&#xA;</xsl:text>
     <xsl:value-of separator=", "  select="f:scanl1(f:add(), /*/*)"/>
  </xsl:template>
</xsl:stylesheet>

When this transformation is applied on this 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 wanted result is produced:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
- - - - - - - - - - -
01, 3, 6, 10, 15, 21, 28, 36, 45, 55

As an exercise one can code this in XPath 3.0


Cheers,
Dimitre

On Thu, Mar 7, 2019 at 5:27 AM Martin Honnen 
martin(_dot_)honnen(_at_)gmx(_dot_)de
<xsl-list-service(_at_)lists(_dot_)mulberrytech(_dot_)com> wrote:

Am 07.03.2019 um 12:55 schrieb Michael Kay mike(_at_)saxonica(_dot_)com:
A good simple use case for fold-left() is to accumulate a running total, 
i.e. turn (1,2,3,4) into (1,3,6,10).


The example to simply compute the running total (e.g. map (1,2,3,4) to
10) is in the spec with

    fold-left((1 to 4), 0, function($a, $b) { $a + $b})


But to map the whole sequence (1,2,3,4) with fold-left to a new sequence
of (1,3,6,10) I am already struggling to express that in a compact way, is

fold-left(
   (1 to 4),
   (),
   function ($a, $b) {  $a, if (empty($a)) then $b else $b + $a[last()] }
)

a good way? Or can the third argument, the function be expressed in a
more compact way?




--
Cheers,
Dimitre Novatchev
---------------------------------------
Truly great madness cannot be achieved without significant intelligence.
---------------------------------------
To invent, you need a good imagination and a pile of junk
-------------------------------------
Never fight an inanimate object
-------------------------------------
To avoid situations in which you might make mistakes may be the
biggest mistake of all
------------------------------------
Quality means doing it right when no one is looking.
-------------------------------------
You've achieved success in your field when you don't know whether what
you're doing is work or play
-------------------------------------
To achieve the impossible dream, try going to sleep.
-------------------------------------
Facts do not cease to exist because they are ignored.
-------------------------------------
Typing monkeys will write all Shakespeare's works in 200yrs.Will they
write all patents, too? :)
-------------------------------------
Sanity is madness put to good use.
-------------------------------------
I finally figured out the only reason to be alive is to enjoy it.



-- 
Cheers,
Dimitre Novatchev
---------------------------------------
Truly great madness cannot be achieved without significant intelligence.
---------------------------------------
To invent, you need a good imagination and a pile of junk
-------------------------------------
Never fight an inanimate object
-------------------------------------
To avoid situations in which you might make mistakes may be the
biggest mistake of all
------------------------------------
Quality means doing it right when no one is looking.
-------------------------------------
You've achieved success in your field when you don't know whether what
you're doing is work or play
-------------------------------------
To achieve the impossible dream, try going to sleep.
-------------------------------------
Facts do not cease to exist because they are ignored.
-------------------------------------
Typing monkeys will write all Shakespeare's works in 200yrs.Will they
write all patents, too? :)
-------------------------------------
Sanity is madness put to good use.
-------------------------------------
I finally figured out the only reason to be alive is to enjoy it.
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