/**
* Project the vector onto another vector.
*
* @api
* @param self $b The vector to project this vector onto.
* @return self 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 self::_checkVectorSpace() For exception information.
*/
public function projectOnto(self $b)
{
$bUnit = $b->normalize();
return $bUnit->multiplyByScalar($this->dotProduct($bUnit));
}
/**
* Verify that normalization works.
*
* @test
* @uses \Nubs\Vectorix\Vector::__construct
* @uses \Nubs\Vectorix\Vector::components
* @uses \Nubs\Vectorix\Vector::multiplyByScalar
* @uses \Nubs\Vectorix\Vector::divideByScalar
* @uses \Nubs\Vectorix\Vector::length
* @covers ::normalize
*/
public function normalizeSimpleVector()
{
$vector = new Vector([1, 1]);
$resultComponents = $vector->normalize()->components();
$this->assertEquals(sqrt(2) / 2, $resultComponents[0], '', 1.0E-10);
$this->assertEquals(sqrt(2) / 2, $resultComponents[1], '', 1.0E-10);
}
