public function testDotProductExceptionSizeDifference()
{
$A = new Vector([1, 2]);
$B = new Vector([1, 2, 3]);
$this->setExpectedException('MathPHP\\Exception\\VectorException');
$A->dotProduct($B);
}
public function Program()
{
$a = array(3, 4, 5);
$b = array(4, 3, 5);
$c = array(-5, -12, -13);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
Vector::$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;
/**
* Axiom: A⋅A⊥ = -A⊥⋅A
* Swapping operands changes the sign of the perp dot product
* @dataProvider dataProviderForPerpendicularIdentity
*/
public function testPerpDotProdcutSwapOperandsChangeSign(array $A)
{
$A = new Vector($A);
$A⊥ = $A->perpendicular();
$A⋅A⊥ = $A->dotProduct($A⊥);
$A⊥⋅A = $A⊥->dotProduct($A);
$this->assertEquals($A⋅A⊥, -$A⊥⋅A);
}
/**
* @covers webd\vectors\Vector::dotProduct
*/
public function testDotProduct()
{
$this->assertEquals(14, $this->object->dotProduct($this->object));
}