Dimitre Novatchev wrote:
Hi,
I just started reading the book "The Da Vinci code" and this resulted
in having some fun with XSLT 2.0, Saxon 8.4 and Saxon.NET.
Here's the problem:
Find the first 10-digit prime in consecutive digits of F-3000
Where F-N is the Nth Fibonacci number.
Here are the elements of the sequence of Fibonacci numbers from 0 to 11:
Element: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144
Index: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
It is *very important* to note that the first "1" in the sequence has
index "0", so that everyone will mean the same thing by F-3000
When you have the answer, please, let me know:
1. The 10 digit prime number
2. The xslt code
3. The stylesheet execution time.
4. Your computer -- CPU speed and RAM
5. Whether or not you used any specific extension functions.
u are aware of OliverB old stylesheet....
<!--
The Sieve of Eratosthenes
GPL (c) Oliver Becker, 2000-06-13
obecker(_at_)informatik(_dot_)hu-berlin(_dot_)de
-->
<xslt:transform xmlns:xslt="http://www.w3.org/1999/XSL/Transform";
version="1.0">
<xslt:output method="text" />
<xslt:param name="bound" select="1000" />
<xslt:template match="/">
<xslt:call-template name="eratosthenes">
<xslt:with-param name="pos" select="2" />
<xslt:with-param name="array">
<xslt:call-template name="init-array">
<xslt:with-param name="length" select="$bound" />
</xslt:call-template>
</xslt:with-param>
</xslt:call-template>
<xslt:text>
</xslt:text>
</xslt:template>
<!-- Initialize the array (string) with length $length -->
<xslt:template name="init-array">
<xslt:param name="length" />
<xslt:if test="$length > 0">
<xslt:text>-</xslt:text>
<xslt:call-template name="init-array">
<xslt:with-param name="length" select="$length - 1" />
</xslt:call-template>
</xslt:if>
</xslt:template>
<!-- Sieve of Eratosthenes: If the number at position $pos isn't
marked then it's a prime (and printed). If the position of the
prime is lower or equal then the square root of $bound then the
new array will be computed by marking all multiples of $pos. -->
<xslt:template name="eratosthenes">
<xslt:param name="array" />
<xslt:param name="pos" />
<xslt:if test="$pos < $bound">
<xslt:variable name="is-prime" select="substring($array,$pos,1) =
'-'" />
<xslt:if test="$is-prime">
<xslt:value-of select="$pos" />, <xslt:text />
</xslt:if>
<xslt:variable name="new-array">
<xslt:choose>
<xslt:when test="$is-prime and $pos*$pos <= $bound">
<xslt:call-template name="mark">
<xslt:with-param name="array" select="$array" />
<xslt:with-param name="number" select="$pos" />
</xslt:call-template>
</xslt:when>
<xslt:otherwise>
<xslt:value-of select="$array" />
</xslt:otherwise>
</xslt:choose>
</xslt:variable>
<xslt:call-template name="eratosthenes">
<xslt:with-param name="array" select="$new-array" />
<xslt:with-param name="pos" select="$pos + 1" />
</xslt:call-template>
</xslt:if>
</xslt:template>
<!-- Mark all multiples of $number in $array with '*' -->
<xslt:template name="mark">
<xslt:param name="array" />
<xslt:param name="number" />
<xslt:choose>
<xslt:when test="string-length($array) > $number">
<xslt:value-of select="substring ($array, 1, $number - 1)" />
<xslt:text>*</xslt:text>
<xslt:call-template name="mark">
<xslt:with-param name="array" select="substring ($array,
$number + 1)" />
<xslt:with-param name="number" select="$number" />
</xslt:call-template>
</xslt:when>
<xslt:otherwise>
<xslt:value-of select="$array" />
</xslt:otherwise>
</xslt:choose>
</xslt:template>
</xslt:transform>
this will take quite a long time...though uses no extension functions, I
would utilize other approaches to search the problem domain if simply
contrained by the requirement of being prime and 10 digit length.
wish I had the time, though will process in the background on a solution
to this.
cheers, Jim Fuller
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