RealityServer® Client

Class: Vector4

RS.Math.Vector4

Class representing a 4D Vector with components x, y, z and w.

new RS.Math.Vector4 (initial)

Creates a new Vector4. Accepts any arguments that RS.Math.Vector4#set accepts.

Name Type Description
initial RS.Math.Vector4 | Array | Object | Number optional

initial value.
Example
let v = new RS.Math.Vector4();
v = new RS.Math.Vector4(1,2,3);
v = new RS.Math.Vector4([0.2,-0.3,0.5,0.4]);
v = new RS.Math.Vector4({x: 0.1, y: 0.53, z: -0.2});

Members

w Number

The W component of the vector

x Number

The X component of the vector

y Number

The Y component of the vector

z Number

The Z component of the vector

Methods

add (rhs)RS.Math.Vector4

Adds another vector to this vector.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector
Returns:
Type Description
RS.Math.Vector4 this
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.add(new RS.Math.Vector4(7,-3,0));
// vec is now {x:8,y:-1,z:3,w:1}

clone ()RS.Math.Vector4

returns a copy of this vector.

Returns:
Type Description
RS.Math.Vector4

cross (rhs)RS.Math.Vector4

Returns the cross product between this vector and another.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector.
Returns:
Type Description
RS.Math.Vector4 the cross product

distance (rhs)Number

Returns the distance between the point specified by this vector and another

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector.
Returns:
Type Description
Number the distance

divide (rhs)RS.Math.Vector4

Divides another vector into this vector per-component.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector
Returns:
Type Description
RS.Math.Vector4 this
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.divide(new RS.Math.Vector4(7,-3,1));
// vec is now {x:0.1428,y:-0.6667,z:3,w:1}

dot (rhs)Number

Returns the dot product between this vector and another.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector.
Returns:
Type Description
Number the dot product

equal (rhs, tolerance)Boolean

Returns whether this vector is equal to another vector.

Name Type Description
rhs RS.Math.Vector4

the vector to compare to
tolerance Number optional

if provided then this level of tolerance is used.
Returns:
Type Description
Boolean true if equal, false if not
Example
let vec = new RS.Math.Vector4(0.01,-0.05,0.03);
vec.equal(vec);
// returns true
vec.equal(new RS.Math.Vector4(0.02,-0.05,0.03));
// returns false
vec.equal(new RS.Math.Vector4(0.02,-0.05,0.03),0.1);
// returns true due to tolerance

equal_with_tolerance (rhs, tolerance)Boolean

Returns whether this vector is equal to another vector within a tolerance.

Name Type Description
rhs RS.Math.Vector4

the vector to compare to
tolerance Number optional

if provided then this level of tolerance is used, otherwise tolerance is 10e-5
Returns:
Type Description
Boolean true if equal, false if not
Example
let vec = new RS.Math.Vector4(0.01,-0.05,0.03);
vec.equal_with_tolerance(vec);
// returns true
vec.equal_with_tolerance(new RS.Math.Vector4(0.02,-0.05,0.03));
// returns false
vec.equal_with_tolerance(new RS.Math.Vector4(0.01001,-0.05,0.03));
// returns true due to default tolerance
vec.equal_with_tolerance(new RS.Math.Vector4(0.02,-0.05,0.03),0.1);
// returns true due to tolerance

is_colinear (rhs)Boolean

Returns whether this vector and another are colinear (point in the same direction.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector
Returns:
Type Description
Boolean true if colinear, false if not
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.is_colinear(new RS.Math.Vector4(2,4,6));
// returns true
vec.is_colinear(new RS.Math.Vector4(1,0,0));
// returns false
vec.is_colinear(new RS.Math.Vector4(-2,-4,-6));
// returns false since they point in opposite directions

is_null_vector (tolerance)Boolean

Returns whether this vector is the null vector

Name Type Description
tolerance Number optional

if provided then this level of tolerance is used.
Returns:
Type Description
Boolean true if null, false if not
Example
let vec = new RS.Math.Vector4(0.01,-0.05,0.03);
vec.is_null_vector();
// returns false
vec.is_null_vector(0.1);
// returns true due to tolerance
vec = new RS.Math.Vector4();
vec.is_null_vector();
// returns true

length ()Number

Returns the length of this vector.

Returns:
Type Description
Number the length

multiply (rhs)RS.Math.Vector4

Multiplies another vector with this vector per-component.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector
Returns:
Type Description
RS.Math.Vector4 this
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.multiply(new RS.Math.Vector4(7,-3,1));
// vec is now {x:7,y:-6,z:3,w:1}

normalize ()RS.Math.Vector4

Normalizes this vector.

Returns:
Type Description
RS.Math.Vector4 this

rotate (matrix)RS.Math.Vector4

Transforms this vector by multiplying the rotation portion of the provided matrix on the right hand side.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
Returns:
Type Description
RS.Math.Vector4 this

rotate_to (matrix, out)RS.Math.Vector4

Transforms this vector by multiplying the rotation portion of the provided matrix on the right hand side and copies the result into the out vector. This vector is not modified.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
out RS.Math.Vector4 optional

The vector to receive the result. If not provided a new vector is created.
Returns:
Type Description
RS.Math.Vector4 the transformed vector.

rotate_transpose (matrix)RS.Math.Vector4

Transforms this vector by multiplying the rotation portion of the transposed provided matrix on the right hand side.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
Returns:
Type Description
RS.Math.Vector4 this

rotate_transpose_to (matrix, out)RS.Math.Vector4

Transforms this vector by multiplying the rotation portion of the tranposed provided matrix on the right hand side and copies the result into the out vector. This vector is not modified.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
out RS.Math.Vector4 optional

The vector to receive the result. If not provided a new vector is created.
Returns:
Type Description
RS.Math.Vector4 the transformed vector.

scale (scale)RS.Math.Vector4

Uniformly scales this vector.

Name Type Description
scale Number

the scaling factor
Returns:
Type Description
RS.Math.Vector4 this
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.scale(2);
// vec is now {x:2,y:4,z:6,w:1}

set (source)

Sets this vector. The source may be of the following types:

  • RS.Math.Vector4
  • an Array with 3 or more members
  • an Object.
  • individual arguments for x, y, z and w

In the case of an object being supplied it should have the members x, y, z, and optionally w. If w is omitted or parses as NaN then w will be set to 1. Parsing failures on x, y or z will set them to 0.

Name Type Description
source RS.Math.Vector4 | Array | Object | Number

the object to set from or a set of numbers.
Example
const v = new RS.Math.Vector4();
v.set(1,2,3);
v.set([0.2,-0.3,0.5]);
v.set({x: 0.1, y: 0.53, z: -0.2});

subtract (rhs)RS.Math.Vector4

Subtracts another vector from this vector.

Name Type Description
rhs RS.Math.Vector4 | RS.Math.Vector3

the other vector
Returns:
Type Description
RS.Math.Vector4 this
Example
const vec = new RS.Math.Vector4(1,2,3);
vec.subtract(new RS.Math.Vector4(7,-3,0));
// vec is now {x:-6,y:5,z:3,w:1}

toString ()String

Returns a string describing this Object.

Returns:
Type Description
String A String describing this Object.

transform (matrix)RS.Math.Vector4

Transforms this vector by multiplying the provided matrix on the right hand side.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
Returns:
Type Description
RS.Math.Vector4 this

transform_to (matrix, out)RS.Math.Vector4

Transforms this vector by multiplying the provided matrix on the right hand side and copies the result into the out vector. This vector is not modified.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
out RS.Math.Vector4 optional

The vector to receive the result. If not provided a new vector is created.
Returns:
Type Description
RS.Math.Vector4 the transformed vector.

transform_transpose (matrix)RS.Math.Vector4

Transforms this vector by multiplying the transpose of the provided matrix on the right hand side.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
Returns:
Type Description
RS.Math.Vector4 this

transform_transpose_to (matrix, out)RS.Math.Vector4

Transforms this vector by multiplying the transpose of the provided matrix on the right hand side and copies the result into the out vector. This vector is not modified.

Name Type Description
matrix RS.Math.Matrix4x4

The matrix to transform the vector by.
out RS.Math.Vector4 optional

The vector to receive the result. If not provided a new vector is created.
Returns:
Type Description
RS.Math.Vector4 the transformed vector.