/**
* Test if a point is part of the disc ([O->a] <= r)
*
* @param \Maths\PointInterface $a
* @return bool
*/
public function isValidPoint(PointInterface $a)
{
$s = new Segment($this->getPointO(), $a);
return (bool) ($s->getLength() <= $this->getRadius());
}
/**
* Test if two segments are parallels
*
* This will test if the two lines drawn from the two segments verify the Thales theorem
* by comparing [ab] (segment 1), [cd] (segment 2) and a fifth point [e] used to build
* triangles:
*
* [ae]/[ce] == [be]/[de] ?
*
* @param \Maths\Geometry\Line $line1
* @param \Maths\Geometry\Line $line2
* @return bool
*/
public static function areParallels(Line $line1, Line $line2)
{
if ($line1->isHorizontal() && $line2->isHorizontal() || $line1->isVertical() && $line2->isVertical()) {
return true;
}
$line1->rearrange();
$line2->rearrange();
$abs = array($line1->getPointA()->getAbscissa(), $line1->getPointB()->getAbscissa(), $line2->getPointA()->getAbscissa(), $line2->getPointB()->getAbscissa());
$ords = array($line1->getPointA()->getOrdinate(), $line1->getPointB()->getOrdinate(), $line2->getPointA()->getOrdinate(), $line2->getPointB()->getOrdinate());
$e = new Point(rand(0, 10) + (max($abs) + abs(min($abs))), rand(0, 10) + (max($ords) + abs(min($ords))));
$segAE = new Segment($line1->getPointA(), $e);
$segBE = new Segment($line1->getPointB(), $e);
$intersectCE = self::getLinesIntersection($segAE, $line2);
$segCE = new Segment($intersectCE, $e);
$intersectDE = self::getLinesIntersection($segBE, $line2);
$segDE = new Segment($intersectDE, $e);
/*
echo <<<TYPEOTHER
var demo1 = brd.create('point', [{$line1->getPointA()->x},{$line1->getPointA()->y}], {
name: 'a'
});
var demo2 = brd.create('point', [{$line1->getPointB()->x},{$line1->getPointB()->y}], {
name: 'b'
});
var segment1 = brd.create('line', [demo1,demo2], {straightFirst:false,straightLast:false});
var demo3 = brd.create('point', [{$intersectCE->x},{$intersectCE->y}], {
name: 'c'
});
var demo4 = brd.create('point', [{$intersectDE->x},{$intersectDE->y}], {
name: 'd'
});
var segment2 = brd.create('line', [demo3,demo4], {straightFirst:false,straightLast:false});
var demo5 = brd.create('point', [{$e->x},{$e->y}], {
name: 'e'
});
var segment3 = brd.create('line', [demo1,demo5], {straightFirst:false,straightLast:false,color:'#404040'});
var segment4 = brd.create('line', [demo2,demo5], {straightFirst:false,straightLast:false,color:'#404040'});
var segment5 = brd.create('line', [demo3,demo5], {straightFirst:false,straightLast:false,color:'#404040'});
var segment6 = brd.create('line', [demo4,demo5], {straightFirst:false,straightLast:false,color:'#404040'});
TYPEOTHER;
*/
return (bool) ($segAE->getLength() / $segCE->getLength() == $segBE->getLength() / $segDE->getLength());
}