Vector::$verbose = True;
$vtxO = new Vertex(array('x' => 0.0, 'y' => 0.0, 'z' => 0.0));
$vtxX = new Vertex(array('x' => 1.0, 'y' => 0.0, 'z' => 0.0));
$vtxY = new Vertex(array('x' => 0.0, 'y' => 1.0, 'z' => 0.0));
$vtxZ = new Vertex(array('x' => 0.0, 'y' => 0.0, 'z' => 1.0));
$vtcXunit = new Vector(array('orig' => $vtxO, 'dest' => $vtxX));
$vtcYunit = new Vector(array('orig' => $vtxO, 'dest' => $vtxY));
$vtcZunit = new Vector(array('orig' => $vtxO, 'dest' => $vtxZ));
print $vtcXunit . PHP_EOL;
print $vtcYunit . PHP_EOL;
print $vtcZunit . PHP_EOL;
$dest1 = new Vertex(array('x' => -12.34, 'y' => 23.45, 'z' => -34.56));
Vertex::$verbose = True;
$vtc1 = new Vector(array('dest' => $dest1));
Vertex::$verbose = False;
$orig2 = new Vertex(array('x' => 23.87, 'y' => -37.95, 'z' => 78.34));
$dest2 = new Vertex(array('x' => -12.34, 'y' => 23.45, 'z' => -34.56));
$vtc2 = new Vector(array('orig' => $orig2, 'dest' => $dest2));
print 'Magnitude is ' . $vtc2->magnitude() . PHP_EOL;
$nVtc2 = $vtc2->normalize();
print 'Normalized $vtc2 is ' . $nVtc2 . PHP_EOL;
print 'Normalized $vtc2 magnitude is ' . $nVtc2->magnitude() . PHP_EOL;
print '$vtc1 + $vtc2 is ' . $vtc1->add($vtc2) . PHP_EOL;
print '$vtc1 - $vtc2 is ' . $vtc1->sub($vtc2) . PHP_EOL;
print 'opposite of $vtc1 is ' . $vtc1->opposite() . PHP_EOL;
print 'scalar product of $vtc1 and 42 is ' . $vtc1->scalarProduct(42) . PHP_EOL;
print 'dot product of $vtc1 and $vtc2 is ' . $vtc1->dotProduct($vtc2) . PHP_EOL;
print 'cross product of $vtc1 and $vtc2 is ' . $vtc1->crossProduct($vtc2) . PHP_EOL;
print 'cross product of $vtcXunit and $vtcYunit is ' . $vtcXunit->crossProduct($vtcYunit) . 'aka $vtcZunit' . PHP_EOL;
print 'cosinus of angle between $vtc1 and $vtc2 is ' . $vtc1->cos($vtc2) . PHP_EOL;
print 'cosinus of angle between $vtcXunit and $vtcYunit is ' . $vtcXunit->cos($vtcYunit) . PHP_EOL;
/**
* @covers webd\vectors\Vector::normalize
*/
public function testNormalize()
{
$this->assertEquals(1, $this->object->normalize()->norm());
}
/**
* @dataProvider dataProviderForNormalize
*/
public function testNormalize(array $A, array $expected)
{
$A = new Vector($A);
$Â = $A->normalize();
$expected = new Vector($expected);
$this->assertEquals($expected, $Â, '', 1.0E-8);
$this->assertEquals($expected->getVector(), $Â->getVector(), '', 1.0E-8);
}
/**
* Project the vector onto another vector.
*
* @param Vector $b The vector to project this vector onto.
* @return Vector The vector projection of this vector onto $b.
* @throws \Exception if the vector length of $b is zero.
* @throws \Exception if the vectors are not in the same vector space.
* @see checkVectorSpace() For Exception information.
*/
public function projectOnto(Vector $b)
{
$bUnit = $b->normalize();
return $bUnit->multiplyByScalar($this->dotProduct($bUnit));
}