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ThreadArcs.php
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ThreadArcs.php
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<?php
/**
* Library to draw 'Thread Arcs'
*
* Original idea by Bernard Kerr:
* http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.9825&rep=rep1&type=pdf
*/
/**
* Converts array to html argument="value" style
*
* @param array $arr
* @return str $args
*/
function array_to_html_args($arr) {
$args = '';
foreach($arr as $key=>$value) {
$args .= $key . '="' . $value . '" ';
}
return $args;
}
/**
* Adds and removes things from an array
*
* @param array $arr
* @return arrau $arr modified array
*/
function modify_array($arr, $remove, $add=array()) {
$arr = array_merge($arr, $add);
foreach($remove as $key) {
unset($arr[$key]);
}
return $arr;
}
/**
* Point class
*
* Shortcut for for example `get_post_author()`, which can now be called as
* `get('post_author')`.
*
* @param string $function name of the function
* @param mixed $params,... parameters passed to the function
* @return bool $has
*/
class Point {
/**
* x-position of point
*/
public $x;
/**
* y-position
*/
public $y;
/**
* Point constructor
*
* @param float $y y-postition of the point
* @param array $params optional parameters
*/
public function __construct($y, $params=[]) {
$this->y = $y;
$this->x = (isset($params['x'])) ? $params['x'] : 100;
// Default parameters
$this->params = array_merge(array(
'r' => 5,
'class' => 'point'
), $params);
}
/**
* Get html arguments
*
* @return string $html
*/
private function get_html_args() {
$remove = ['x'];
$add = array(
'cx' => $this->x,
'cy' => $this->y
);
return modify_array($this->params, $remove, $add);
}
/**
* Get an svg object
*
* @return string $svg
*/
public function get_svg() {
return "<circle " . array_to_html_args($this->get_html_args()) . "/>";
}
/**
* Print svg object
*/
public function draw() {
echo $this->get_svg();
}
}
/**
* Arc class
*/
class Arc {
/**
* Constructor
*
* @param object $A point A
* @param object $B point B
*
* #Parameters in the `$params` argument:
* @param float max_length maximal length of the arc (relative to other points, possibly)
* @param float max_width maximal 'height' of the arc (it is the width, really)
* @param int dir direction: positive (1) or negative (-1)
* @param float lambda Parameter that influences the relative height of the arcs. Default 1/2.
* @param int precision numerial precision.
*/
public function __construct($A, $B, $params=[]){
$this->A = $A;
$this->B = $B;
// Default parameters
$this->params = array_merge(array(
'class' => 'arc',
'max_length' => 400,
'max_width' => 80,
'precision' => 2, // Numerical precision
'lambda' => 1/2, // Parameter for the relative 'height' of arcs, def. to sqrt
'dir' => 1 // Direcction: positive (1) or negative (-1)
), $params);
}
/**
* Get the html arguments
*
* @return string $html
*/
private function get_html_args(){
$remove = array('max_length','max_width','precision','lambda','dir');
return modify_array($this->params, $remove);
}
/**
* Returns the svg path object corresponding to the arc
*
* The arc between the two points has a height that depends on the relative
* length of the arc. Relative to the `max_length`, that is. If $r$ is the relative
* length, then the height is given by $r^\lambda$ * \text{max_width}$.
*
* @return string $svg
*/
public function get_svg() {
// Shortcuts
$x = $this->A->x;
$Ay = $this->A->y;
$By = $this->B->y;
// Calculate height of the arc
$r = abs($By - $Ay) / $this->params['max_length']; // Relative arc length (wrt max length)
$H = pow($r, $this->params['lambda']) * $this->params['max_width'];
$H = $x + (int) $this->params['dir'] * round($H, $this->params['precision']);
$path = 'd="M' . $x .' '. $Ay .' '
.'C' . $H .' '. $Ay .' '
. $H .' '. $By .' '
. $x .' '. $By .'" ';
return '<path ' . $path . array_to_html_args($this->get_html_args()) . '/>';
}
/**
* Print the svg object
*/
public function draw() {
echo $this->get_svg();
}
}
class Article {
public function __construct($params) {
}
}
/**
* ThreadArcs class
*/
class ThreadArcs {
/**
* Array with all Point object
*/
public $points = [];
/**
* Array with all Arc object
*/
public $arcs = [];
/**
* Constructor
*/
public function __construct( $nodes, $connList, $params=[] ) {
// Store all settings
$this->nodes = $nodes;
$this->connList = $connList;
$this->N = count($this->nodes);
$this->params = array_merge(array(
'vspace' => 30,
'height' => null,
'max_width'=> 50
), $params);
// Adjust vspace if height parameter is set
if(isset($this->params['height'])) {
$this->params['vspace'] = $this->params['height'] / $this->N;
}
$this->height = $this->N * $this->params['vspace'];
$this->width = 2*$this->params['max_width'];
// Get the longest arc
$arc_lengths = [];
foreach($this->connList as $i=>$connections) {
foreach($connections as $j) {
$arc_lengths[] = abs($j - $i);
}
}
$this->max_length = max($arc_lengths) * $this->params['vspace'];
$this->set_up_elements();
}
/**
* Create all points and arcs
*/
public function set_up_elements() {
// Draw all nodes
foreach($this->nodes as $i=>$node) {
$p = new Point(10 + $i * $this->params['vspace'], array(
'x' => $this->width / 2,
'class' => 'point p'.$i
));
$this->points[] = $p; // Store, why not?
}
// Draw all arcs
// Start from one node. Draw a child with an arc on the right.
// Then draw all its children on the left. Draw the next child on the right,
// all its children on the left, and so on.
$dir = 1;
foreach($this->connList as $i => $targets) {
$this->get_arcs_from_point($i, $dir);
$dir = -1 * $dir;
foreach($targets as $j) {
$this->get_arcs_from_point($j, $dir);
}
$dir = -1 * $dir;
}
}
/**
* Creates all arcs from a certain point
*/
function get_arcs_from_point($i, $dir=1) {
foreach( $this->connList[$i] as $j ) {
if( !isset( $this->arcs[$i][$j]) ) {
$p = $this->points[$i];
$q = $this->points[$j];
$arc = new Arc($p, $q, array(
'max_width' => $this->params['max_width'],
'max_length' => $this->max_length,
'dir' => $dir,
'class' => 'arc arc-p' . $i . ' arc-p' . $j
));
// Store --- why not?
if( is_array($this->arcs[$i]) ){
$this->arcs[$i][$j] = $arc;
} else {
$this->arcs[$i] = [$arc];
}
}
}
}
/**
* Get the SVG string
*
* @return string $svg
*/
public function get_svg() {
$svg = '<svg width="' . $this->width . '" height="' . $this->height .'">';
// Draw all arcs
foreach($this->arcs as $arcs) { foreach($arcs as $arc) {
$svg .= $arc->get_svg() . '\n';
}}
// Draw points after arcs!
foreach($this->points as $p) {
$svg .= $p->get_svg() . '\n';
}
$svg .= '</svg>';
return $svg;
}
/**
* Draw this svg image
*/
public function draw() {
echo $this->get_svg();
}
}