Cartesian3

new Cartesian3(x, y, z)

A 3D Cartesian point.
Name Type Default Description
x Number 0.0 optional The X component.
y Number 0.0 optional The Y component.
z Number 0.0 optional The Z component.
See:

Members

x :Number

The X component.
Default Value: 0.0

y :Number

The Y component.
Default Value: 0.0

z :Number

The Z component.
Default Value: 0.0

staticCartesian3.packedLength :Number

The number of elements used to pack the object into an array.

staticconstantCartesian3.UNIT_X :Cartesian3

An immutable Cartesian3 instance initialized to (1.0, 0.0, 0.0).

staticconstantCartesian3.UNIT_Y :Cartesian3

An immutable Cartesian3 instance initialized to (0.0, 1.0, 0.0).

staticconstantCartesian3.UNIT_Z :Cartesian3

An immutable Cartesian3 instance initialized to (0.0, 0.0, 1.0).

staticconstantCartesian3.ZERO :Cartesian3

An immutable Cartesian3 instance initialized to (0.0, 0.0, 0.0).

Methods

clone(result)Cartesian3

Duplicates this Cartesian3 instance.
Name Type Description
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided.

equals(right)Boolean

Compares this Cartesian against the provided Cartesian componentwise and returns true if they are equal, false otherwise.
Name Type Description
right Cartesian3 optional The right hand side Cartesian.
Returns:
true if they are equal, false otherwise.

equalsEpsilon(right, relativeEpsilon, absoluteEpsilon)Boolean

Compares this Cartesian against the provided Cartesian componentwise and returns true if they pass an absolute or relative tolerance test, false otherwise.
Name Type Default Description
right Cartesian3 optional The right hand side Cartesian.
relativeEpsilon Number The relative epsilon tolerance to use for equality testing.
absoluteEpsilon Number relativeEpsilon optional The absolute epsilon tolerance to use for equality testing.
Returns:
true if they are within the provided epsilon, false otherwise.

toString()String

Creates a string representing this Cartesian in the format '(x, y, z)'.
Returns:
A string representing this Cartesian in the format '(x, y, z)'.

staticCartesian3.abs(cartesian, result)Cartesian3

Computes the absolute value of the provided Cartesian.
Name Type Description
cartesian Cartesian3 The Cartesian whose absolute value is to be computed.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.add(left, right, result)Cartesian3

Computes the componentwise sum of two Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.angleBetween(left, right)Number

Returns the angle, in radians, between the provided Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
Returns:
The angle between the Cartesians.

staticCartesian3.clone(cartesian, result)Cartesian3

Duplicates a Cartesian3 instance.
Name Type Description
cartesian Cartesian3 The Cartesian to duplicate.
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided. (Returns undefined if cartesian is undefined)

staticCartesian3.cross(left, right, result)Cartesian3

Computes the cross (outer) product of two Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
result Cartesian3 The object onto which to store the result.
Returns:
The cross product.

staticCartesian3.distance(left, right)Number

Computes the distance between two points.
Name Type Description
left Cartesian3 The first point to compute the distance from.
right Cartesian3 The second point to compute the distance to.
Returns:
The distance between two points.
Example:
// Returns 1.0
var d = Cesium.Cartesian3.distance(new Cesium.Cartesian3(1.0, 0.0, 0.0), new Cesium.Cartesian3(2.0, 0.0, 0.0));

staticCartesian3.distanceSquared(left, right)Number

Computes the squared distance between two points. Comparing squared distances using this function is more efficient than comparing distances using Cartesian3#distance.
Name Type Description
left Cartesian3 The first point to compute the distance from.
right Cartesian3 The second point to compute the distance to.
Returns:
The distance between two points.
Example:
// Returns 4.0, not 2.0
var d = Cesium.Cartesian3.distanceSquared(new Cesium.Cartesian3(1.0, 0.0, 0.0), new Cesium.Cartesian3(3.0, 0.0, 0.0));

staticCartesian3.divideByScalar(cartesian, scalar, result)Cartesian3

Divides the provided Cartesian componentwise by the provided scalar.
Name Type Description
cartesian Cartesian3 The Cartesian to be divided.
scalar Number The scalar to divide by.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.dot(left, right)Number

Computes the dot (scalar) product of two Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
Returns:
The dot product.

staticCartesian3.equals(left, right)Boolean

Compares the provided Cartesians componentwise and returns true if they are equal, false otherwise.
Name Type Description
left Cartesian3 optional The first Cartesian.
right Cartesian3 optional The second Cartesian.
Returns:
true if left and right are equal, false otherwise.

staticCartesian3.equalsEpsilon(left, right, relativeEpsilon, absoluteEpsilon)Boolean

Compares the provided Cartesians componentwise and returns true if they pass an absolute or relative tolerance test, false otherwise.
Name Type Default Description
left Cartesian3 optional The first Cartesian.
right Cartesian3 optional The second Cartesian.
relativeEpsilon Number The relative epsilon tolerance to use for equality testing.
absoluteEpsilon Number relativeEpsilon optional The absolute epsilon tolerance to use for equality testing.
Returns:
true if left and right are within the provided epsilon, false otherwise.

staticCartesian3.fromArray(array, startingIndex, result)Cartesian3

Creates a Cartesian3 from three consecutive elements in an array.
Name Type Default Description
array Array.<Number> The array whose three consecutive elements correspond to the x, y, and z components, respectively.
startingIndex Number 0 optional The offset into the array of the first element, which corresponds to the x component.
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided.
Example:
// Create a Cartesian3 with (1.0, 2.0, 3.0)
var v = [1.0, 2.0, 3.0];
var p = Cesium.Cartesian3.fromArray(v);

// Create a Cartesian3 with (1.0, 2.0, 3.0) using an offset into an array
var v2 = [0.0, 0.0, 1.0, 2.0, 3.0];
var p2 = Cesium.Cartesian3.fromArray(v2, 2);

staticCartesian3.fromCartesian4(cartesian, result)Cartesian3

Creates a Cartesian3 instance from an existing Cartesian4. This simply takes the x, y, and z properties of the Cartesian4 and drops w.
Name Type Description
cartesian Cartesian4 The Cartesian4 instance to create a Cartesian3 instance from.
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided.

staticCartesian3.fromDegrees(longitude, latitude, height, ellipsoid, result)Cartesian3

Returns a Cartesian3 position from longitude and latitude values given in degrees.
Name Type Default Description
longitude Number The longitude, in degrees
latitude Number The latitude, in degrees
height Number 0.0 optional The height, in meters, above the ellipsoid.
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the position lies.
result Cartesian3 optional The object onto which to store the result.
Returns:
The position
Example:
var position = Cesium.Cartesian3.fromDegrees(-115.0, 37.0);

staticCartesian3.fromDegreesArray(coordinates, ellipsoid, result)Array.<Cartesian3>

Returns an array of Cartesian3 positions given an array of longitude and latitude values given in degrees.
Name Type Default Description
coordinates Array.<Number> A list of longitude and latitude values. Values alternate [longitude, latitude, longitude, latitude...].
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the coordinates lie.
result Array.<Cartesian3> optional An array of Cartesian3 objects to store the result.
Returns:
The array of positions.
Example:
var positions = Cesium.Cartesian3.fromDegreesArray([-115.0, 37.0, -107.0, 33.0]);

staticCartesian3.fromDegreesArrayHeights(coordinates, ellipsoid, result)Array.<Cartesian3>

Returns an array of Cartesian3 positions given an array of longitude, latitude and height values where longitude and latitude are given in degrees.
Name Type Default Description
coordinates Array.<Number> A list of longitude, latitude and height values. Values alternate [longitude, latitude, height,, longitude, latitude, height...].
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the position lies.
result Array.<Cartesian3> optional An array of Cartesian3 objects to store the result.
Returns:
The array of positions.
Example:
var positions = Cesium.Cartesian3.fromDegreesArrayHeights([-115.0, 37.0, 100000.0, -107.0, 33.0, 150000.0]);

staticCartesian3.fromElements(x, y, z, result)Cartesian3

Creates a Cartesian3 instance from x, y and z coordinates.
Name Type Description
x Number The x coordinate.
y Number The y coordinate.
z Number The z coordinate.
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided.

staticCartesian3.fromRadians(longitude, latitude, height, ellipsoid, result)Cartesian3

Returns a Cartesian3 position from longitude and latitude values given in radians.
Name Type Default Description
longitude Number The longitude, in radians
latitude Number The latitude, in radians
height Number 0.0 optional The height, in meters, above the ellipsoid.
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the position lies.
result Cartesian3 optional The object onto which to store the result.
Returns:
The position
Example:
var position = Cesium.Cartesian3.fromRadians(-2.007, 0.645);

staticCartesian3.fromRadiansArray(coordinates, ellipsoid, result)Array.<Cartesian3>

Returns an array of Cartesian3 positions given an array of longitude and latitude values given in radians.
Name Type Default Description
coordinates Array.<Number> A list of longitude and latitude values. Values alternate [longitude, latitude, longitude, latitude...].
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the coordinates lie.
result Array.<Cartesian3> optional An array of Cartesian3 objects to store the result.
Returns:
The array of positions.
Example:
var positions = Cesium.Cartesian3.fromRadiansArray([-2.007, 0.645, -1.867, .575]);

staticCartesian3.fromRadiansArrayHeights(coordinates, ellipsoid, result)Array.<Cartesian3>

Returns an array of Cartesian3 positions given an array of longitude, latitude and height values where longitude and latitude are given in radians.
Name Type Default Description
coordinates Array.<Number> A list of longitude, latitude and height values. Values alternate [longitude, latitude, height,, longitude, latitude, height...].
ellipsoid Ellipsoid Ellipsoid.WGS84 optional The ellipsoid on which the position lies.
result Array.<Cartesian3> optional An array of Cartesian3 objects to store the result.
Returns:
The array of positions.
Example:
var positions = Cesium.Cartesian3.fromRadiansArrayHeights([-2.007, 0.645, 100000.0, -1.867, .575, 150000.0]);

staticCartesian3.fromSpherical(spherical, result)Cartesian3

Converts the provided Spherical into Cartesian3 coordinates.
Name Type Description
spherical Spherical The Spherical to be converted to Cartesian3.
result Cartesian3 optional The object onto which to store the result.
Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided.

staticCartesian3.lerp(start, end, t, result)Cartesian3

Computes the linear interpolation or extrapolation at t using the provided cartesians.
Name Type Description
start Cartesian3 The value corresponding to t at 0.0.
end Cartesian3 The value corresponding to t at 1.0.
t Number The point along t at which to interpolate.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.magnitude(cartesian)Number

Computes the Cartesian's magnitude (length).
Name Type Description
cartesian Cartesian3 The Cartesian instance whose magnitude is to be computed.
Returns:
The magnitude.

staticCartesian3.magnitudeSquared(cartesian)Number

Computes the provided Cartesian's squared magnitude.
Name Type Description
cartesian Cartesian3 The Cartesian instance whose squared magnitude is to be computed.
Returns:
The squared magnitude.

staticCartesian3.maximumByComponent(first, second, result)Cartesian3

Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
Name Type Description
first Cartesian3 A cartesian to compare.
second Cartesian3 A cartesian to compare.
result Cartesian3 The object into which to store the result.
Returns:
A cartesian with the maximum components.

staticCartesian3.maximumComponent(cartesian)Number

Computes the value of the maximum component for the supplied Cartesian.
Name Type Description
cartesian Cartesian3 The cartesian to use.
Returns:
The value of the maximum component.

staticCartesian3.minimumByComponent(first, second, result)Cartesian3

Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
Name Type Description
first Cartesian3 A cartesian to compare.
second Cartesian3 A cartesian to compare.
result Cartesian3 The object into which to store the result.
Returns:
A cartesian with the minimum components.

staticCartesian3.minimumComponent(cartesian)Number

Computes the value of the minimum component for the supplied Cartesian.
Name Type Description
cartesian Cartesian3 The cartesian to use.
Returns:
The value of the minimum component.

staticCartesian3.mostOrthogonalAxis(cartesian, result)Cartesian3

Returns the axis that is most orthogonal to the provided Cartesian.
Name Type Description
cartesian Cartesian3 The Cartesian on which to find the most orthogonal axis.
result Cartesian3 The object onto which to store the result.
Returns:
The most orthogonal axis.

staticCartesian3.multiplyByScalar(cartesian, scalar, result)Cartesian3

Multiplies the provided Cartesian componentwise by the provided scalar.
Name Type Description
cartesian Cartesian3 The Cartesian to be scaled.
scalar Number The scalar to multiply with.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.multiplyComponents(left, right, result)Cartesian3

Computes the componentwise product of two Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.negate(cartesian, result)Cartesian3

Negates the provided Cartesian.
Name Type Description
cartesian Cartesian3 The Cartesian to be negated.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.normalize(cartesian, result)Cartesian3

Computes the normalized form of the supplied Cartesian.
Name Type Description
cartesian Cartesian3 The Cartesian to be normalized.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.pack(value, array, startingIndex)

Stores the provided instance into the provided array.
Name Type Default Description
value Cartesian3 The value to pack.
array Array.<Number> The array to pack into.
startingIndex Number 0 optional The index into the array at which to start packing the elements.

staticCartesian3.subtract(left, right, result)Cartesian3

Computes the componentwise difference of two Cartesians.
Name Type Description
left Cartesian3 The first Cartesian.
right Cartesian3 The second Cartesian.
result Cartesian3 The object onto which to store the result.
Returns:
The modified result parameter.

staticCartesian3.unpack(array, startingIndex, result)

Retrieves an instance from a packed array.
Name Type Default Description
array Array.<Number> The packed array.
startingIndex Number 0 optional The starting index of the element to be unpacked.
result Cartesian3 optional The object into which to store the result.