Class: Math_QuaternionOp

Originally this class was part of NumPHP (Numeric PHP package)

Example:

 require_once 'Math/QuaternionOp.php';

 $a = new Math_Quaternion(2,4,2,-0.5);
 $b = new Math_Quaternion(1,2,3,0.5);

 if (!Math_QuaternionOp::areEqual($a, Math_QuaternionOp::negate($a))) {
     echo "a and neg(a) are different\n";
 }
 $t=Math_QuaternionOp::negate($a);
 echo "Neg(a) is ".$t->toString()."\n";
 $t=Math_QuaternionOp::conjugate($a);
 echo "Conj(a) is ".$t->toString()."\n";
 $t=Math_QuaternionOp::inverse($a);
 echo "Inv(a) is ".$t->toString()."\n";
 $t=Math_QuaternionOp::multReal($a, 1.23);
 echo "MultReal(a, 1.23) is ".$t->toString()."\n";

 echo "====\n";
 $t=Math_QuaternionOp::mult($a,$b);
 echo "a*b: ".$t->toString()."\n";
 $t=Math_QuaternionOp::mult($b,$a);
 echo "b*a: ".$t->toString()."\n";
 $t=Math_QuaternionOp::mult($a,Math_QuaternionOp::conjugate($a));
 echo "a*a': ".$t->toString()."\n";
 echo "length(a*a'): ".$t->length()."\n";
 $t=Math_QuaternionOp::add($a,$b);
 echo "a+b: ".$t->toString()."\n";
 $t=Math_QuaternionOp::sub($a,$b);
 echo "a-b: ".$t->toString()."\n";
 $t=Math_QuaternionOp::sub($b,$a);
 echo "b-a: ".$t->toString()."\n";
 $t=Math_QuaternionOp::sub($b,Math_QuaternionOp::conjugate($a));
 echo "b-a': ".$t->toString()."\n";
 $t=Math_QuaternionOp::sub(Math_QuaternionOp::conjugate($b), $a);
 echo "b'-a: ".$t->toString()."\n";
 $t=Math_QuaternionOp::sub(Math_QuaternionOp::conjugate($b), Math_QuaternionOp::conjugate($a));
 echo "b'-a': ".$t->toString()."\n";
 $t = Math_QuaternionOp::div($a, $b);
 echo "a/b: ".$t->toString()."\n";
 $t = Math_QuaternionOp::div($b, $a);
 echo "b/a: ".$t->toString()."\n";

Output from example:

 a and neg(a) are different
 Neg(a) is -2 + -4i + -2j + 0.5k
 Conj(a) is 2 + -4i + -2j + 0.5k
 Inv(a) is 0.40613846605345 + -0.8122769321069i + -0.40613846605345j + 0.10153461651336k
 MultReal(a, 1.23) is 2.46 + 4.92i + 2.46j + -0.615k
 ====
 a*b: -11.25 + 6i + 9j + 1.5k
 b*a: -18.25 + 12i + 6j + -1.5k
 a*a': -16.25 + -16i + -8j + 2k
 length(a*a'): 24.25
 a+b: 3 + 6i + 5j + 0k
 a-b: 1 + 2i + -1j + -1k
 b-a: -1 + -2i + 1j + 1k
 b-a': -1 + 6i + 5j + 0k
 b'-a: -1 + -6i + -5j + 0k
 b'-a': -1 + 2i + -1j + -1k
 a/b: -19.720187057174 + 9.059625885652i + 4.529812942826j + -1.1324532357065k
 b/a: -12.843861533947 + 2.8122769321069i + 4.2184153981603j + 0.70306923302672k

add   [line 197]

areEqual   [line 181]

conjugate   [line 127]

div   [line 270]

inverse   [line 160]

isQuaternion   [line 111]

mult   [line 231]

multReal   [line 289]

negate   [line 143]

sub   [line 215]