const type: vector3d

3D vectors represented with float values for the three dimensions. 3D vector literals do not exist.

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.

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.

const func float: abs (in vector3d: v)

Compute the absolute value of a 3D vector.

Returns:

the absolute value.

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.

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.

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.

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.

const func vector3d: unitVector (in vector3d: v)

Unit vector of a given 3D vector.

Returns:

the unit vector of the given 3D vector.

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.

const func integer: hashCode (in vector3d: vect)

Compute the hash value of a 3D vector.

Returns:

the hash value.

const func string: str (in vector3d: a)

Convert a 3D vector to a string.

Returns:

the string result of the conversion.