


Types 
vector3d 
 3D vectors represented with float values for the three dimensions.  
vector3d
const type: vector3d 
3D vectors represented with float values for the three dimensions.
3D vector literals do not exist.
Operator Summary 
boolean 
(in vector3d: a) = (in vector3d: b) 
 Check if two 3D vectors are equal.  
boolean 
(in vector3d: a) <> (in vector3d: b) 
 Check if two 3D vectors are not equal.  
vector3d 
 (in vector3d: a) 
 Minus sign, negate a 3D vector.  
vector3d 
(in vector3d: a) + (in vector3d: b) 
 Add two 3D vectors.  
vector3d 
(in vector3d: a)  (in vector3d: b) 
 Subtract two 3D vectors.  
vector3d 
(in vector3d: v) * (in float: num) 
 Multiply a 3D vector with a float number.  
vector3d 
(in vector3d: v) / (in float: num) 
 Divide a 3D vector by a float number.  
void 
(inout vector3d: vect) +:= (in float: delta) 
 Increment a 3D vector by a float delta.  
void 
(inout vector3d: vect) := (in float: delta) 
 Decrement a 3D vector by a float delta.  
void 
(inout vector3d: vect) *:= (in float: number) 
 Multiply a 3D vector by a float factor and assign the result back.  
void 
(inout vector3d: vect) /:= (in float: number) 
 Divide a 3D vector by a float factor and assign the result back.  
Function Summary 
vector3d 
vector3d (in float: x, in float: y, in float: z) 
 Create a 3D vector from its x, y and z values.  
float 
abs (in vector3d: v) 
 Compute the absolute value of a 3D vector.  
float 
sqrAbs (in vector3d: v) 
 Compute the square of the absolute value of a 3D vector.  
float 
dot (in vector3d: a, in vector3d: b) 
 Inner product of two 3D vectors.  
vector3d 
cross (in vector3d: a, in vector3d: b) 
 Cross product of two 3D vectors.  
vector3d 
reflect (in vector3d: vect, in vector3d: normal) 
 Reflect the vector vect at a surface defined by normal.  
vector3d 
unitVector (in vector3d: v) 
 Unit vector of a given 3D vector.  
integer 
compare (in vector3d: vect1, in vector3d: vect2) 
 Compare two 3D vectors in lexicographic order.  
integer 
hashCode (in vector3d: vect) 
 Compute the hash value of a 3D vector.  
string 
str (in vector3d: a) 
 Convert a 3D vector to a string.  
=
const func boolean: (in vector3d: a) = (in vector3d: b) 
Check if two 3D vectors are equal.
 Returns:
 TRUE if both 3D vectors are equal, FALSE otherwise.
<>
const func boolean: (in vector3d: a) <> (in vector3d: b) 
Check if two 3D vectors are not equal.
 Returns:
 FALSE if both 3D vectors are equal, TRUE otherwise.

const func vector3d:  (in vector3d: a) 
Minus sign, negate a 3D vector.
 Returns:
 the negated value of the 3D vector.
+
const func vector3d: (in vector3d: a) + (in vector3d: b) 
Add two 3D vectors.
 Returns:
 the sum of the two 3D vectors.

const func vector3d: (in vector3d: a)  (in vector3d: b) 
Subtract two 3D vectors.
 Returns:
 the difference of the two 3D vectors.
*
const func vector3d: (in vector3d: v) * (in float: num) 
Multiply a 3D vector with a float number.
 Returns:
 the product of the multiplication.
/
const func vector3d: (in vector3d: v) / (in float: num) 
Divide a 3D vector by a float number.
 Returns:
 the quotient of the division.
+:=
const proc: (inout vector3d: vect) +:= (in float: delta) 
Increment a 3D vector by a float delta.
:=
const proc: (inout vector3d: vect) := (in float: delta) 
Decrement a 3D vector by a float delta.
*:=
const proc: (inout vector3d: vect) *:= (in float: number) 
Multiply a 3D vector by a float factor and assign the result back.
/:=
const proc: (inout vector3d: vect) /:= (in float: number) 
Divide a 3D vector by a float factor and assign the result back.
vector3d
const func vector3d: vector3d (in float: x, in float: y, in float: z) 
Create a 3D vector from its x, y and z values.
 Returns:
 the created 3D vector.
abs
const func float: abs (in vector3d: v) 
Compute the absolute value of a 3D vector.
 Returns:
 the absolute value.
sqrAbs
const func float: sqrAbs (in vector3d: v) 
Compute the square of the absolute value of a 3D vector.
 Returns:
 the square of the absolute value.
dot
const func float: dot (in vector3d: a, in vector3d: b) 
Inner product of two 3D vectors.
 Returns:
 the inner product of the two 3D vectors.
cross
const func vector3d: cross (in vector3d: a, in vector3d: b) 
Cross product of two 3D vectors.
 Returns:
 the cross product of the two 3D vectors.
reflect
const func vector3d: reflect (in vector3d: vect, in vector3d: normal) 
Reflect the vector vect at a surface defined by normal.
The surface is representing by its normal at the intersection point.
 Returns:
 the reflected vector.
unitVector
const func vector3d: unitVector (in vector3d: v) 
Unit vector of a given 3D vector.
compare
const func integer: compare (in vector3d: vect1, in vector3d: vect2) 
Compare two 3D vectors in lexicographic order.
 Returns:
 1, 0 or 1 if the first argument is considered to be respectively less than, equal to, or greater than the second.
hashCode
const func integer: hashCode (in vector3d: vect) 
Compute the hash value of a 3D vector.
 Returns:
 the hash value.
str
const func string: str (in vector3d: a) 
Convert a 3D vector to a string.
 Returns:
 the string result of the conversion.


