/
RDFXML2SVG.xsl
715 lines (629 loc) · 42.6 KB
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RDFXML2SVG.xsl
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<?xml version="1.0" encoding="UTF-8"?>
<!--
Copyright 2019 Martynas Jusevičius <martynas@atomgraph.com>
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
-->
<!DOCTYPE xsl:stylesheet [
<!ENTITY ac "https://w3id.org/atomgraph/client#">
<!ENTITY rdf "http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#">
<!ENTITY xsd "http://www.w3.org/2001/XMLSchema#">
<!ENTITY owl "http://www.w3.org/2002/07/owl#">
]>
<xsl:stylesheet version="3.0"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
xmlns:ac="∾"
xmlns:rdf="&rdf;"
xmlns:rdfs="&rdfs;"
xmlns:xsd="&xsd;"
xmlns:owl="&owl;"
xmlns:xs="http://www.w3.org/2001/XMLSchema"
xmlns:math="http://www.w3.org/2005/xpath-functions/math"
exclude-result-prefixes="#all">
<!-- Paper on force directed layout in XSLT: "GraphML Transformation": http://www.mathe2.uni-bayreuth.de/axel/papers/reingold:graph_drawing_by_force_directed_placement.pdf -->
<!-- Reference implementation: https://gist.github.com/mmisono/8972731 -->
<!-- 1. position resource nodes (optionally also literals) randomly -->
<!-- 2. move nodes in a loop using the force-directed algorithm -->
<!-- 3. draw lines between the nodes, calculating the correct intersection with the node border -->
<!-- Note: only "flat" RDF/XML (properties grouped into descriptions; no nesting) is supported. It's called RDFXML_PLAIN in Apache Jena. -->
<xsl:output method="xml" indent="yes" encoding="UTF-8" media-type="image/svg+xml"/>
<xsl:strip-space elements="*"/>
<xsl:key name="resources" match="*[*][@rdf:about] | *[*][@rdf:nodeID]" use="@rdf:about | @rdf:nodeID"/>
<xsl:key name="properties" match="*[@rdf:about or @rdf:nodeID]/*" use="namespace-uri() || local-name()"/>
<xsl:key name="nodes" match="svg:g[svg:circle] | svg:g[svg:rect]" use="svg:circle/local-name() || svg:rect/local-name()"/>
<xsl:key name="subjects" match="svg:g[@class = 'subject']" use="@about"/>
<xsl:key name="adjacent-resources" match="svg:g" use="svg:g[@class = 'property']/@resource"/>
<xsl:param name="show-literals" select="false()" as="xs:boolean"/>
<xsl:param name="show-object-resources" select="false()" as="xs:boolean"/>
<xsl:param name="step-count" select="30" as="xs:integer"/> <!-- number of iteration steps -->
<xsl:param name="preserveAspectRatio" as="xs:string?"/>
<xsl:param name="spring-stiffness" select="0.01" as="xs:double"/>
<xsl:param name="spring-length" select="50" as="xs:double"/> <!-- ideal spring length -->
<xsl:param name="padding" select="$spring-length div 2" as="xs:double"/>
<xsl:param name="width" select="1000" as="xs:integer"/> <!-- drawing width -->
<xsl:param name="height" select="800" as="xs:integer"/> <!-- drawing height -->
<xsl:mode name="ac:SVGPositioning" on-no-match="shallow-copy"/>
<xsl:function name="ac:svg-label" as="xs:string?">
<xsl:param name="resource" as="element()"/>
<xsl:choose>
<xsl:when test="ends-with($resource/@rdf:about, '/')">
<xsl:sequence select="tokenize($resource/@rdf:about, '/')[last() - 1] || '/'"/>
</xsl:when>
<xsl:when test="$resource/@rdf:about">
<xsl:sequence select="tokenize($resource/@rdf:about, '/')[last()]"/>
</xsl:when>
<xsl:when test="$resource/@rdf:nodeID">
<xsl:sequence select="$resource/@rdf:nodeID"/>
</xsl:when>
</xsl:choose>
</xsl:function>
<xsl:function name="ac:svg-object-label" as="xs:string?">
<xsl:param name="object" as="attribute()"/>
<xsl:choose>
<xsl:when test="$object/local-name() = 'resource' and ends-with($object, '/')">
<xsl:sequence select="tokenize($object, '/')[last() - 1] || '/'"/>
</xsl:when>
<xsl:when test="$object/local-name() = 'resource'">
<xsl:sequence select="tokenize($object, '/')[last()]"/>
</xsl:when>
<xsl:when test="$object/local-name() = 'nodeID'">
<xsl:sequence select="$object"/>
</xsl:when>
</xsl:choose>
</xsl:function>
<xsl:template match="rdf:RDF">
<xsl:apply-templates select="." mode="ac:SVG">
<xsl:with-param name="step-count" select="$step-count"/>
</xsl:apply-templates>
</xsl:template>
<xsl:template match="rdf:RDF" mode="ac:SVG">
<xsl:param name="step-count" as="xs:integer"/>
<xsl:param name="spring-stiffness" select="$spring-stiffness" as="xs:double" tunnel="yes"/>
<xsl:param name="spring-length" select="$spring-length" as="xs:double" tunnel="yes"/>
<xsl:param name="viewBox" as="xs:string?"/>
<xsl:param name="preserveAspectRatio" select="$preserveAspectRatio" as="xs:string?"/>
<xsl:param name="height" as="xs:string?"/>
<xsl:param name="width" as="xs:string?"/>
<xsl:variable name="svg" as="document-node()">
<xsl:document>
<svg version="1.1">
<defs>
<marker id="triangle" viewBox="0 0 10 10" refX="10" refY="5" markerUnits="strokeWidth" markerWidth="8" markerHeight="6" orient="auto">
<path d="M 0 0 L 10 5 L 0 10 z" fill="gray"/>
</marker>
</defs>
<!-- draw nodes -->
<xsl:apply-templates mode="#current"/>
<xsl:if test="$show-object-resources">
<!-- select and group objects which are not already present as subjects -->
<xsl:for-each-group select="*/*/@rdf:resource[not(key('resources', .))] | */*/@rdf:nodeID[not(key('resources', .))]" group-by=".">
<xsl:apply-templates select="current-group()[1]" mode="#current"/>
</xsl:for-each-group>
</xsl:if>
</svg>
</xsl:document>
</xsl:variable>
<!-- move nodes in a loop -->
<xsl:variable name="svg" as="document-node()">
<xsl:call-template name="ac:SVGPositioningLoop">
<xsl:with-param name="svg" select="$svg"/>
<xsl:with-param name="count" select="$step-count"/>
<xsl:with-param name="spring-stiffness" select="$spring-stiffness" tunnel="yes"/>
<xsl:with-param name="spring-length" select="$spring-length" tunnel="yes"/>
</xsl:call-template>
</xsl:variable>
<xsl:for-each select="$svg/svg:svg">
<xsl:copy>
<xsl:copy-of select="@*"/>
<xsl:choose>
<xsl:when test="$viewBox">
<xsl:attribute name="viewBox" select="$viewBox"/>
</xsl:when>
<xsl:otherwise>
<!-- calculate the size of the viewport by finding nodes with min/max translated coordinates -->
<xsl:variable name="min-x" select="min((key('nodes', 'circle')/(svg:circle/@cx + (if (@transform) then xs:double(substring-before(substring-after(@transform, 'translate('), ' ')) else 0)), key('nodes', 'rect')/(svg:rect/@x + (if (@transform) then xs:double(substring-before(substring-after(@transform, 'translate('), ' ')) else 0)))) - $padding" as="xs:double?"/>
<xsl:variable name="min-y" select="min((key('nodes', 'circle')/(svg:circle/@cy + (if (@transform) then xs:double(substring-before(substring-after(@transform, ' '), ')')) else 0)), key('nodes', 'rect')/(svg:rect/@y + (if (@transform) then xs:double(substring-before(substring-after(@transform, ' '), ')')) else 0)))) - $padding" as="xs:double?"/>
<!-- $min-x/$min-y are empty sequences if there are no actual <svg:circle> elements in <svg:svg> -->
<xsl:if test="$min-x and $min-y">
<xsl:variable name="width" select="max((key('nodes', 'circle')/(svg:circle/@cx + (if (@transform) then xs:double(substring-before(substring-after(@transform, 'translate('), ' ')) else 0)), key('nodes', 'rect')/(svg:rect/@x + (if (@transform) then xs:double(substring-before(substring-after(@transform, 'translate('), ' ')) else 0)))) - $min-x + $padding" as="xs:double"/>
<xsl:variable name="height" select="max((key('nodes', 'circle')/(svg:circle/@cy + (if (@transform) then xs:double(substring-before(substring-after(@transform, ' '), ')')) else 0)), key('nodes', 'rect')/(svg:rect/@y + (if (@transform) then xs:double(substring-before(substring-after(@transform, ' '), ')')) else 0)))) - $min-y + $padding" as="xs:double"/>
<xsl:attribute name="viewBox" select="$min-x || ' ' || $min-y || ' ' || $width || ' ' || $height"/>
</xsl:if>
</xsl:otherwise>
</xsl:choose>
<xsl:if test="$preserveAspectRatio">
<xsl:attribute name="preserveAspectRatio" select="$preserveAspectRatio"/>
</xsl:if>
<xsl:if test="$height">
<xsl:attribute name="height" select="$height"/>
</xsl:if>
<xsl:if test="$width">
<xsl:attribute name="width" select="$width"/>
</xsl:if>
<!-- draw lines between nodes -->
<xsl:apply-templates select="." mode="ac:SVGLines"/>
<xsl:copy-of select="node()"/>
</xsl:copy>
</xsl:for-each>
</xsl:template>
<!-- NODE DRAWING -->
<!-- resources description -->
<xsl:template match="*[*][@rdf:about] | *[*][@rdf:nodeID]" mode="ac:SVG">
<g>
<xsl:apply-templates select="@rdf:about | @rdf:nodeID" mode="#current"/>
<xsl:apply-templates mode="#current"/>
</g>
</xsl:template>
<!-- subject/object node -->
<xsl:template match="@rdf:about | @rdf:resource | @rdf:nodeID" mode="ac:SVG">
<xsl:param name="id" select="generate-id()" as="xs:string"/>
<xsl:param name="r" select="15" as="xs:double"/>
<xsl:param name="random-seed" select="if (../rdf:type/@rdf:*) then random-number-generator(../rdf:type[1]/@rdf:*)?number else ()" as="xs:double?"/>
<xsl:param name="hsl" select="if ($random-seed) then 'hsl(' || $random-seed * 360 || ', 50%, 70%)' else ()" as="xs:string?"/>
<xsl:param name="fill" select="if ($hsl) then $hsl else '#acf'" as="xs:string"/>
<xsl:param name="stroke" select="'gray'" as="xs:string"/>
<xsl:param name="stroke-width" select="1" as="xs:integer"/>
<!-- @x and @y will be set by the ac:SVGPositioningLoop -->
<g id="{$id}" class="subject" about="{.}" transform="translate(0 0)"> <!-- need an initial @transform for ac:SVGPositioning template to match -->
<circle r="{$r}" cx="0" cy="0" fill="{$fill}" stroke="{$stroke}" stroke-width="{$stroke-width}">
<title><xsl:value-of select="."/></title>
</circle>
<xsl:apply-templates select="." mode="svg:Anchor"/>
</g>
</xsl:template>
<!-- function courtesy of Joe Wicentowski -->
<xsl:function name="ac:trim-lines" as="xs:string*">
<xsl:param name="string" as="xs:string*"/>
<xsl:param name="line-length" as="xs:integer"/>
<xsl:sequence select="
let $words := tokenize($string),
$trim-function := function ($lines, $word) {
let $reversed := $lines => reverse(),
$current-line := $reversed => head(),
$previous-lines := $reversed => tail() => reverse(),
$candidate-line := string-join(($current-line, $word), ' ')
return
if (string-length($candidate-line) gt $line-length) then
($previous-lines, $current-line || ' ', $word)
else
($previous-lines, $candidate-line)
},
$lines := fold-left($words, (), $trim-function)
return $lines
"/>
</xsl:function>
<xsl:template match="@rdf:about | @rdf:resource | @rdf:nodeID" mode="svg:Anchor">
<xsl:param name="href" select="if (local-name() = ('about', 'resource')) then . else ()" as="xs:anyURI?"/>
<xsl:param name="id" select="if (local-name() = 'nodeID') then . else ()" as="xs:string?"/>
<xsl:param name="label" select="if (parent::rdf:Description) then ac:svg-label(..) else ac:svg-object-label(.)" as="xs:string"/>
<xsl:param name="title" select="$label" as="xs:string?"/>
<xsl:param name="class" as="xs:string?"/>
<xsl:param name="target" as="xs:string?"/>
<xsl:param name="font-size" select="6" as="xs:integer"/>
<xsl:param name="dy" select=".3" as="xs:double"/>
<xsl:param name="dy-per-line" select="-0.6" as="xs:double"/>
<xsl:param name="line-length" select="10" as="xs:integer"/>
<xsl:param name="max-lines" select="3" as="xs:integer"/>
<a>
<xsl:if test="$href">
<xsl:attribute name="href" select="$href"/>
</xsl:if>
<xsl:if test="$id">
<xsl:attribute name="id" select="$id"/>
</xsl:if>
<xsl:if test="$title">
<xsl:attribute name="title" select="$title"/>
</xsl:if>
<xsl:if test="$class">
<xsl:attribute name="class" select="$class"/>
</xsl:if>
<xsl:if test="$target">
<xsl:attribute name="target" select="$target"/>
</xsl:if>
<text x="0" y="0" text-anchor="middle" font-size="{$font-size}" dy="{$dy}">
<xsl:variable name="lines" select="ac:trim-lines($label, $line-length)" as="xs:string*"/>
<xsl:variable name="tspans" as="element()*">
<xsl:for-each select="subsequence($lines[not(. = ' ')], 1, $max-lines)">
<tspan x="0">
<xsl:if test="position() > 1">
<xsl:attribute name="dy" select="'1.2em'"/>
</xsl:if>
<xsl:value-of select="."/>
</tspan>
</xsl:for-each>
</xsl:variable>
<xsl:attribute name="dy" select="format-number($dy + (count($tspans) - 1) * $dy-per-line, '###.00') || 'em'"/>
<xsl:copy-of select="$tspans"/>
</text>
</a>
</xsl:template>
<!-- property -->
<xsl:template match="*[@rdf:about or @rdf:nodeID]/*[@rdf:resource | @rdf:nodeID]" mode="ac:SVG">
<g class="property" property="{namespace-uri() || local-name()}" resource="{@rdf:resource | @rdf:nodeID}"/>
</xsl:template>
<xsl:template match="*[@rdf:about or @rdf:nodeID]/*[node()][$show-literals]" mode="ac:SVG" priority="1">
<g class="property" property="{namespace-uri() || local-name()}" content="{node()}">
<xsl:apply-templates mode="#current"/>
</g>
</xsl:template>
<xsl:template match="*[@rdf:about or @rdf:nodeID]/*[node()]" mode="ac:SVG"/>
<!-- literal node -->
<xsl:template match="*[@rdf:about or @rdf:nodeID]/*/text() | *[@rdf:about or @rdf:nodeID]/*[@rdf:parseType = 'Literal']/*" mode="ac:SVG">
<xsl:param name="id" select="generate-id()" as="xs:string"/>
<xsl:param name="height" select="25" as="xs:double"/>
<xsl:param name="width" select="50" as="xs:double"/>
<xsl:param name="fill" select="'#fc3'" as="xs:string"/>
<xsl:param name="stroke" select="'gray'" as="xs:string"/>
<xsl:param name="max-literal-length" select="15" as="xs:integer"/>
<xsl:param name="stroke-width" select="1" as="xs:integer"/>
<xsl:param name="font-size" select="6" as="xs:integer"/>
<xsl:param name="dy" select="'.3em'" as="xs:string"/>
<!-- @x and @y will be set by the ac:SVGPositioningLoop -->
<g id="{$id}" class="object" transform="translate(0 0)"> <!-- need an initial @transform for ac:SVGPositioning template to match -->
<rect x="0" y="0" height="{$height}" width="{$width}" fill="{$fill}" stroke="{$stroke}" stroke-width="{$stroke-width}" />
<text x="0" y="0" text-anchor="middle" font-size="{$font-size}" dy="{$dy}">
<xsl:choose>
<xsl:when test="string-length(.) > $max-literal-length">
<xsl:value-of select="substring(., 0, $max-literal-length)"/>
<xsl:text>...</xsl:text>
</xsl:when>
<xsl:otherwise>
<xsl:value-of select="."/>
</xsl:otherwise>
</xsl:choose>
</text>
</g>
</xsl:template>
<xsl:template match="@rdf:datatype | @xml:lang" mode="ac:SVG"/>
<!-- POSITIONING -->
<!-- positioning loop -->
<xsl:template name="ac:SVGPositioningLoop">
<xsl:param name="svg" as="document-node()"/>
<xsl:param name="count" as="xs:integer"/>
<xsl:param name="temperature" select="$width div 10" as="xs:double"/>
<xsl:variable name="node-adjacency" as="map(xs:string, item()*)*">
<xsl:variable name="force-nodes" select="$svg/svg:svg//svg:g[@class = ('subject', 'object')]" as="element()*"/>
<xsl:iterate select="1 to $count">
<xsl:param name="node-adjacency" as="map(xs:string, item()*)*">
<xsl:variable name="force-node-count" select="count($force-nodes)" as="xs:integer"/>
<xsl:for-each select="$force-nodes">
<!-- adjacent nodes as a union of resources and literals (in both directions) -->
<xsl:variable name="to-resources" select="key('subjects', following-sibling::svg:g[@class = 'property']/@resource)" as="element()*"/>
<xsl:variable name="from-resources" select="key('adjacent-resources', current()/@about)/svg:g[@about]" as="element()*"/>
<xsl:variable name="to-literals" select="following-sibling::svg:g[@class = 'property']/svg:g[@class = 'object'][svg:rect]" as="element()*"/>
<xsl:variable name="from-literals" select="self::svg:g[@class = 'object'][svg:rect]/../preceding-sibling::svg:g[@class = 'subject']" as="element()*"/>
<xsl:variable name="adjacent-nodes" select="$to-resources | $from-resources | $to-literals | $from-literals" as="element()*"/>
<xsl:map>
<xsl:map-entry key="'node-id'" select="@id"/>
<xsl:map-entry key="'x'" select="math:cos(math:pi() * (2 * position() div $force-node-count)) * ($width div 2 - 10) + ($width div 2)"/>
<xsl:map-entry key="'y'" select="math:sin(math:pi() * (2 * position() div $force-node-count)) * ($height div 2 - 10) + ($height div 2)"/>
<xsl:map-entry key="'adjacent-ids'" select="($adjacent-nodes except current())/@id"/>
<xsl:map-entry key="'non-adjacent-ids'" select="($force-nodes except $adjacent-nodes except current())/@id"/>
</xsl:map>
</xsl:for-each>
</xsl:param>
<xsl:param name="edges" select="fold-left($node-adjacency, (), function($a, $b) { ($a, for $adjacent-id in $b?adjacent-ids
return map{ 'v-id': $b?node-id, 'u-id': $adjacent-id }) })" as="map(xs:string, item())*"/>
<xsl:param name="step" select="1" as="xs:integer"/>
<xsl:param name="temperature" select="$temperature" as="xs:double"/>
<xsl:on-completion>
<xsl:sequence select="$node-adjacency"/>
</xsl:on-completion>
<xsl:next-iteration>
<!-- cooling down temperature over time -->
<xsl:with-param name="node-adjacency" select="ac:force-step($node-adjacency, $edges, $spring-stiffness, $spring-length, $width, $height, $temperature)"/>
<xsl:with-param name="step" select="$step + 1"/>
<xsl:with-param name="temperature" select="$temperature - $temperature div ($step + 1)"/>
</xsl:next-iteration>
</xsl:iterate>
</xsl:variable>
<xsl:apply-templates select="$svg" mode="ac:SVGPositioning">
<xsl:with-param name="node-adjacency" select="$node-adjacency" tunnel="yes"/>
</xsl:apply-templates>
</xsl:template>
<!-- force directed position of nodes -->
<!-- we need to re-position the whole group so that the text follows the nodes -->
<xsl:function name="ac:force-step" as="map(xs:string, item()*)*">
<xsl:param name="node-adjacency" as="map(xs:string, item()*)*"/>
<xsl:param name="edges" as="map(xs:string, item())*"/>
<xsl:param name="spring-stiffness" as="xs:double"/>
<xsl:param name="spring-length" as="xs:double"/>
<xsl:param name="width" as="xs:integer"/>
<xsl:param name="height" as="xs:integer"/>
<xsl:param name="temperature" as="xs:double"/>
<!-- calculate repulsive forces against all other nodes -->
<xsl:variable name="node-adjacency" as="map(xs:string, item()*)*">
<xsl:for-each select="$node-adjacency">
<xsl:variable name="v" select="." as="map(xs:string, item()*)"/>
<xsl:iterate select="(?non-adjacent-ids, ?adjacent-ids)">
<xsl:param name="v-dx" select="0.00" as="xs:double"/>
<xsl:param name="v-dy" select="0.00" as="xs:double"/>
<xsl:on-completion>
<xsl:map>
<xsl:for-each select="$v">
<xsl:map-entry key="'node-id'" select="?node-id"/>
<xsl:map-entry key="'x'" select="?x"/>
<xsl:map-entry key="'y'" select="?y"/>
<xsl:map-entry key="'adjacent-ids'" select="?adjacent-ids"/>
<xsl:map-entry key="'non-adjacent-ids'" select="?non-adjacent-ids"/>
<xsl:map-entry key="'dx'" select="$v-dx"/>
<xsl:map-entry key="'dy'" select="$v-dy"/>
</xsl:for-each>
</xsl:map>
</xsl:on-completion>
<xsl:variable name="u" select="$node-adjacency[?node-id eq current()]" as="map(xs:string, item()*)"/>
<xsl:variable name="dx" select="$v?x - $u?x" as="xs:double"/>
<xsl:variable name="dy" select="$v?y - $u?y" as="xs:double"/>
<!-- square of euclidean distance -->
<xsl:variable name="distance2" select="$dx * $dx + $dy * $dy" as="xs:double"/>
<xsl:choose>
<xsl:when test="$distance2 ne 0">
<!-- euclidean distance -->
<xsl:variable name="distance" select="math:sqrt($distance2)" as="xs:double"/>
<!-- repulsion force coefficient (k^2/d) -->
<xsl:variable name="force" select="($spring-length * $spring-length) div $distance" as="xs:double"/>
<xsl:variable name="d" select="$force div $distance" as="xs:double"/>
<xsl:next-iteration>
<!-- displacement -->
<xsl:with-param name="v-dx" select="$v-dx + $dx * $d"/>
<xsl:with-param name="v-dy" select="$v-dy + $dy * $d"/>
</xsl:next-iteration>
</xsl:when>
<xsl:otherwise>
<xsl:next-iteration>
<!-- displacement -->
<xsl:with-param name="v-dx" select="$v-dx"/>
<xsl:with-param name="v-dy" select="$v-dy"/>
</xsl:next-iteration>
</xsl:otherwise>
</xsl:choose>
</xsl:iterate>
</xsl:for-each>
</xsl:variable>
<!-- calculate attractive forces between adjacent nodes -->
<xsl:variable name="edge-nodes" as="map(xs:string, item()*)*">
<xsl:for-each select="$edges">
<xsl:variable name="v" select="$node-adjacency[?node-id = current()?v-id]" as="map(xs:string, item()*)"/>
<xsl:variable name="u" select="$node-adjacency[?node-id = current()?u-id]" as="map(xs:string, item()*)"/>
<xsl:variable name="dx" select="$v?x - $u?x" as="xs:double"/>
<xsl:variable name="dy" select="$v?y - $u?y" as="xs:double"/>
<!-- square of euclidean distance -->
<xsl:variable name="distance2" select="$dx * $dx + $dy * $dy" as="xs:double"/>
<xsl:choose>
<xsl:when test="$distance2 ne 0">
<!-- euclidean distance -->
<xsl:variable name="distance" select="math:sqrt($distance2)" as="xs:double"/>
<!-- attraction force coeficient (d^2/k)-->
<xsl:variable name="force" select="$distance2 div $spring-length" as="xs:double"/>
<xsl:variable name="d" select="$force div $distance" as="xs:double"/>
<!-- displacement -->
<xsl:variable name="ddx" select="$dx * $d" as="xs:double"/>
<xsl:variable name="ddy" select="$dy * $d" as="xs:double"/>
<xsl:map>
<xsl:for-each select="$v">
<xsl:map-entry key="'node-id'" select="?node-id"/>
<xsl:map-entry key="'x'" select="?x"/>
<xsl:map-entry key="'y'" select="?y"/>
<xsl:map-entry key="'adjacent-ids'" select="?adjacent-ids"/>
<xsl:map-entry key="'non-adjacent-ids'" select="?non-adjacent-ids"/>
<xsl:map-entry key="'dx'" select="?dx - $ddx"/>
<xsl:map-entry key="'dy'" select="?dy - $ddy"/>
</xsl:for-each>
</xsl:map>
<xsl:map>
<xsl:for-each select="$u">
<xsl:map-entry key="'node-id'" select="?node-id"/>
<xsl:map-entry key="'x'" select="?x"/>
<xsl:map-entry key="'y'" select="?y"/>
<xsl:map-entry key="'adjacent-ids'" select="?adjacent-ids"/>
<xsl:map-entry key="'non-adjacent-ids'" select="?non-adjacent-ids"/>
<xsl:map-entry key="'dx'" select="?dx + $ddx"/>
<xsl:map-entry key="'dy'" select="?dy + $ddy"/>
</xsl:for-each>
</xsl:map>
</xsl:when>
<xsl:otherwise>
<xsl:sequence select="."/>
</xsl:otherwise>
</xsl:choose>
</xsl:for-each>
</xsl:variable>
<xsl:variable name="edge-nodes" as="map(xs:string, item()*)*">
<xsl:for-each-group select="$edge-nodes" group-by="?node-id">
<xsl:map>
<xsl:map-entry key="'node-id'" select="current-grouping-key()"/>
<xsl:map-entry key="'x'" select="?x"/>
<xsl:map-entry key="'y'" select="?y"/>
<xsl:map-entry key="'adjacent-ids'" select="?adjacent-ids"/>
<xsl:map-entry key="'non-adjacent-ids'" select="?non-adjacent-ids"/>
<xsl:map-entry key="'dx'" select="sum(current-group()?dx)"/>
<xsl:map-entry key="'dy'" select="sum(current-group()?dy)"/>
</xsl:map>
</xsl:for-each-group>
</xsl:variable>
<!-- combine edge nodes with standalone nodes (nodes that are not part of any edge) -->
<xsl:variable name="node-adjacency" select="($edge-nodes, $node-adjacency[not(?node-id = $edge-nodes?node-id)])" as="map(xs:string, item()*)*"/>
<xsl:for-each select="$node-adjacency">
<xsl:variable name="v" select="." as="map(xs:string, item()*)"/>
<xsl:variable name="disp" select="math:sqrt($v?dx * $v?dx + $v?dy * $v?dy)" as="xs:double"/>
<xsl:choose>
<xsl:when test="$disp ne 0">
<xsl:variable name="d" select="min(($disp, $temperature)) div $disp" as="xs:double"/>
<xsl:variable name="x" select="$v?x + $v?dx * $d" as="xs:double"/>
<xsl:variable name="y" select="$v?y + $v?dy * $d" as="xs:double"/>
<xsl:variable name="x" select="min(($width, max((0, $x)))) - $width div 2" as="xs:double"/>
<xsl:variable name="y" select="min(($height, max((0, $y)))) - $height div 2" as="xs:double"/>
<xsl:variable name="x" select="min((math:sqrt(abs($width * $width div 4 - $y * $y)), max((-1 * math:sqrt(abs($width * $width div 4 - $y * $y)), $x)))) + $width div 2" as="xs:double"/>
<xsl:variable name="y" select="min((math:sqrt(abs($height * $height div 4 - $x * $x)), max((-1 * math:sqrt(abs($height * $height div 4 - $x * $x)), $y)))) + $height div 2" as="xs:double"/>
<xsl:map>
<xsl:map-entry key="'node-id'" select="?node-id"/>
<xsl:map-entry key="'x'" select="$x"/>
<xsl:map-entry key="'y'" select="$y"/>
<xsl:map-entry key="'adjacent-ids'" select="?adjacent-ids"/>
<xsl:map-entry key="'non-adjacent-ids'" select="?non-adjacent-ids"/>
<xsl:map-entry key="'dx'" select="?dx"/>
<xsl:map-entry key="'dy'" select="?dy"/>
</xsl:map>
</xsl:when>
<xsl:otherwise>
<xsl:sequence select="."/>
</xsl:otherwise>
</xsl:choose>
</xsl:for-each>
</xsl:function>
<xsl:template match="svg:g[@class = ('subject', 'object')]" mode="ac:SVGPositioning" priority="1">
<xsl:param name="node-adjacency" as="map(xs:string, item()*)*" tunnel="yes"/>
<xsl:variable name="id" select="@id" as="xs:string"/>
<xsl:copy>
<xsl:variable name="map" select="$node-adjacency[?node-id eq $id]" as="map(xs:string, item()*)"/>
<xsl:apply-templates select="@*" mode="#current">
<xsl:with-param name="x" select="$map?x"/>
<xsl:with-param name="y" select="$map?y"/>
</xsl:apply-templates>
<xsl:apply-templates mode="#current"/>
</xsl:copy>
</xsl:template>
<xsl:template match="svg:g[@class = ('subject', 'object')]/@transform" mode="ac:SVGPositioning">
<xsl:param name="x" as="xs:double"/>
<xsl:param name="y" as="xs:double"/>
<xsl:attribute name="{local-name()}" select="'translate(' || $x || ' ' || $y || ')'"/>
</xsl:template>
<!-- center the rectangle around the force point -->
<xsl:template match="svg:g[@class = 'object']/svg:rect/@x" mode="ac:SVGPositioning">
<xsl:attribute name="{local-name()}" select="-1 * ../@width div 2"/>
</xsl:template>
<!-- center the rectangle around the force point -->
<xsl:template match="svg:g[@class = 'object']/svg:rect/@y" mode="ac:SVGPositioning">
<xsl:attribute name="{local-name()}" select="-1 * ../@height div 2"/>
</xsl:template>
<!-- LINE DRAWING -->
<!-- TO-DO: optimize using $node-adjacency -->
<xsl:template match="svg:svg" mode="ac:SVGLines">
<xsl:param name="stroke" select="'gray'" as="xs:string"/>
<xsl:param name="stroke-width" select="1" as="xs:integer"/>
<!-- arcs to object resources - place before/under the resource nodes -->
<xsl:for-each select="*/*[@property][@resource]">
<!-- node coordinates need to be translated to get the effective position -->
<xsl:variable name="x1-offset" select="if (preceding-sibling::svg:g/@transform) then xs:double(substring-before(substring-after(preceding-sibling::svg:g/@transform, 'translate('), ' ')) else 0" as="xs:double"/>
<xsl:variable name="y1-offset" select="if (preceding-sibling::svg:g/@transform) then xs:double(substring-before(substring-after(preceding-sibling::svg:g/@transform, ' '), ')')) else 0" as="xs:double"/>
<xsl:choose>
<!-- loop arc (resource property pointing to itself) -->
<xsl:when test="preceding-sibling::svg:g[@class = 'subject'] is key('subjects', @resource)">
<xsl:variable name="property" select="@property" as="xs:string"/>
<!-- loop path always pointing down for now -->
<xsl:for-each select="preceding-sibling::svg:g/svg:circle">
<xsl:variable name="width" select="@r div 2" as="xs:double"/>
<xsl:variable name="height" select="100" as="xs:double"/>
<!-- find the distance from the circle to the tangent line: https://math.stackexchange.com/questions/1391470/find-distance-between-point-on-tangent-line-and-circle -->
<xsl:variable name="y-delta" select="@r - math:sqrt(@r * @r - $width * $width)" as="xs:double"/>
<path d="M {$x1-offset + @cx - $width},{$y1-offset + @cy + @r - $y-delta} C {$x1-offset + @cx - @r div 2},{$y1-offset + @cy + @r + $height} {$x1-offset + @cx + @r div 2},{$y1-offset + @cy + @r + $height} {$x1-offset + @cx + $width},{$y1-offset + @cy + @r - $y-delta}" stroke="{$stroke}" stroke-width="{$stroke-width}" fill="none" marker-end="url(#triangle)">
<title><xsl:value-of select="$property"/></title>
</path>
</xsl:for-each>
</xsl:when>
<!-- arc -->
<xsl:when test="key('subjects', @resource)">
<!-- node coordinates need to be translated to get the effective position -->
<xsl:variable name="x1" select="$x1-offset + preceding-sibling::svg:g/svg:circle/@cx" as="xs:double"/>
<xsl:variable name="y1" select="$y1-offset + preceding-sibling::svg:g/svg:circle/@cy" as="xs:double"/>
<xsl:variable name="x2-offset" select="if (key('subjects', @resource)/@transform) then xs:double(substring-before(substring-after(key('subjects', @resource)/@transform, 'translate('), ' ')) else 0" as="xs:double"/>
<xsl:variable name="y2-offset" select="if (key('subjects', @resource)/@transform) then xs:double(substring-before(substring-after(key('subjects', @resource)/@transform, ' '), ')')) else 0" as="xs:double"/>
<xsl:variable name="x2" select="$x2-offset + key('subjects', @resource)/svg:circle/@cx" as="xs:double"/>
<xsl:variable name="y2" select="$y2-offset + key('subjects', @resource)/svg:circle/@cy" as="xs:double"/>
<xsl:variable name="r" select="key('subjects', @resource)/svg:circle/@r" as="xs:double"/>
<xsl:variable name="x-diff" select="$x2 - $x1" as="xs:double"/>
<xsl:variable name="y-diff" select="$y2 - $y1" as="xs:double"/>
<!-- TO-DO: $x-diff = 0 and $y-diff = 0 -->
<!-- find the point where the line intersect the circle -->
<xsl:variable name="tan" select="$x-diff div $y-diff" as="xs:double"/>
<xsl:variable name="yc" select="abs($r div math:sqrt($tan * $tan + 1))" as="xs:double"/>
<xsl:variable name="xc" select="abs($r * $tan * math:sqrt(1 div ($tan * $tan + 1)))" as="xs:double"/>
<xsl:variable name="x2" select="if ($x1 > $x2) then ($x2 + $xc) else ($x2 - $xc)" as="xs:double"/>
<xsl:variable name="y2" select="if ($y1 > $y2) then ($y2 + $yc) else ($y2 - $yc)" as="xs:double"/>
<line x1="{$x1}" y1="{$y1}" x2="{$x2}" y2="{$y2}" stroke="{$stroke}" stroke-width="{$stroke-width}" marker-end="url(#triangle)" data-id1="{preceding-sibling::svg:g/@id}" data-id2="{key('subjects', @resource)/@id}">
<title><xsl:value-of select="@property"/></title>
</line>
</xsl:when>
</xsl:choose>
</xsl:for-each>
<!-- arcs to object literals -->
<xsl:for-each select="*/*[@property][svg:g[@class = 'object']]">
<!-- node coordinates need to be translated to get the effective position -->
<xsl:variable name="x1-offset" select="if (preceding-sibling::svg:g/@transform) then xs:double(substring-before(substring-after(preceding-sibling::svg:g/@transform, 'translate('), ' ')) else 0" as="xs:double"/>
<xsl:variable name="y1-offset" select="if (preceding-sibling::svg:g/@transform) then xs:double(substring-before(substring-after(preceding-sibling::svg:g/@transform, ' '), ')')) else 0" as="xs:double"/>
<xsl:variable name="x1" select="$x1-offset + preceding-sibling::svg:g/svg:circle/@cx" as="xs:double"/>
<xsl:variable name="y1" select="$y1-offset + preceding-sibling::svg:g/svg:circle/@cy" as="xs:double"/>
<xsl:variable name="x2-offset" select="if (svg:g/@transform) then xs:double(substring-before(substring-after(svg:g/@transform, 'translate('), ' ')) else 0" as="xs:double"/>
<xsl:variable name="y2-offset" select="if (svg:g/@transform) then xs:double(substring-before(substring-after(svg:g/@transform, ' '), ')')) else 0" as="xs:double"/>
<xsl:variable name="x2" select="$x2-offset + svg:g/svg:rect/@x + svg:g/svg:rect/@width div 2"/>
<xsl:variable name="y2" select="$y2-offset + svg:g/svg:rect/@y + svg:g/svg:rect/@height div 2" as="xs:double"/>
<xsl:variable name="x-diff" select="$x2 - $x1" as="xs:double"/>
<xsl:variable name="y-diff" select="$y2 - $y1" as="xs:double"/>
<!-- handle the cases of the line approaching the rectangle at different angles -->
<line x1="{$x1}" y1="{$y1}" stroke="{$stroke}" stroke-width="{$stroke-width}" marker-end="url(#triangle)">
<xsl:choose>
<xsl:when test="$x-diff = 0 and $y-diff = 0">
<xsl:attribute name="x2" select="$x2"/>
<xsl:attribute name="y2" select="$x2"/>
</xsl:when>
<xsl:when test="$x-diff = 0 and $y-diff < 0">
<xsl:attribute name="x2" select="$x2"/>
<xsl:attribute name="y2" select="svg:g/svg:rect/@y + svg:g/svg:rect/@height"/>
</xsl:when>
<xsl:when test="$x-diff = 0 and $y-diff > 0">
<xsl:attribute name="x2" select="$x2"/>
<xsl:attribute name="y2" select="svg:g/svg:rect/@y"/>
</xsl:when>
<xsl:when test="$y-diff = 0 and $x-diff < 0">
<xsl:attribute name="x2" select="svg:g/svg:rect/@x + svg:g/svg:rect/@width"/>
<xsl:attribute name="y2" select="$y2"/>
</xsl:when>
<xsl:when test="$y-diff = 0 and $x-diff > 0">
<xsl:attribute name="x2" select="svg:g/svg:rect/@x"/>
<xsl:attribute name="y2" select="$y2"/>
</xsl:when>
<xsl:otherwise>
<!-- find the point where the line intersects the rectangle -->
<xsl:variable name="rect-tan" select="svg:g/svg:rect/@width div svg:g/svg:rect/@height" as="xs:double"/>
<xsl:variable name="diff-tan" select="$x-diff div $y-diff" as="xs:double"/>
<xsl:if test="abs($rect-tan) > abs($diff-tan)">
<xsl:variable name="y-delta" select="svg:g/svg:rect/@height div 2" as="xs:double"/>
<xsl:variable name="x-delta" select="$y-delta * $x-diff div $y-diff" as="xs:double"/>
<xsl:if test="$y-diff < 0">
<xsl:attribute name="x2" select="$x2 + $x-delta"/>
<xsl:attribute name="y2" select="$y2 + $y-delta"/>
</xsl:if>
<xsl:if test="$y-diff > 0">
<xsl:attribute name="x2" select="$x2 - $x-delta"/>
<xsl:attribute name="y2" select="$y2 - $y-delta"/>
</xsl:if>
</xsl:if>
<xsl:if test="abs($rect-tan) < abs($diff-tan)">
<xsl:variable name="x-delta" select="svg:g/svg:rect/@width div 2" as="xs:double"/>
<xsl:variable name="y-delta" select="$x-delta * $y-diff div $x-diff" as="xs:double"/>
<xsl:if test="($y-diff < 0 and $x-diff < 0) or ($y-diff > 0 and $x-diff < 0)">
<xsl:attribute name="x2" select="$x2 + $x-delta"/>
<xsl:attribute name="y2" select="$y2 + $y-delta"/>
</xsl:if>
<xsl:if test="($y-diff < 0 and $x-diff > 0) or ($y-diff > 0 and $x-diff > 0)">
<xsl:attribute name="x2" select="$x2 - $x-delta"/>
<xsl:attribute name="y2" select="$y2 - $y-delta"/>
</xsl:if>
</xsl:if>
</xsl:otherwise>
</xsl:choose>
<title><xsl:value-of select="@property"/></title>
</line>
</xsl:for-each>
</xsl:template>
</xsl:stylesheet>