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], $result4[2]);
 }
Esempio n. 3
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Vector::$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;
Esempio n. 4
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 /**
  * 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));
 }