Matrix4

Members

length : Number

Gets the number of items in the collection.

staticconstantCesium.Matrix4.COLUMN0ROW0 : Number

The index into Matrix4 for column 0, row 0.

staticconstantCesium.Matrix4.COLUMN0ROW1 : Number

The index into Matrix4 for column 0, row 1.

staticconstantCesium.Matrix4.COLUMN0ROW2 : Number

The index into Matrix4 for column 0, row 2.

staticconstantCesium.Matrix4.COLUMN0ROW3 : Number

The index into Matrix4 for column 0, row 3.

staticconstantCesium.Matrix4.COLUMN1ROW0 : Number

The index into Matrix4 for column 1, row 0.

staticconstantCesium.Matrix4.COLUMN1ROW1 : Number

The index into Matrix4 for column 1, row 1.

staticconstantCesium.Matrix4.COLUMN1ROW2 : Number

The index into Matrix4 for column 1, row 2.

staticconstantCesium.Matrix4.COLUMN1ROW3 : Number

The index into Matrix4 for column 1, row 3.

staticconstantCesium.Matrix4.COLUMN2ROW0 : Number

The index into Matrix4 for column 2, row 0.

staticconstantCesium.Matrix4.COLUMN2ROW1 : Number

The index into Matrix4 for column 2, row 1.

staticconstantCesium.Matrix4.COLUMN2ROW2 : Number

The index into Matrix4 for column 2, row 2.

staticconstantCesium.Matrix4.COLUMN2ROW3 : Number

The index into Matrix4 for column 2, row 3.

staticconstantCesium.Matrix4.COLUMN3ROW0 : Number

The index into Matrix4 for column 3, row 0.

staticconstantCesium.Matrix4.COLUMN3ROW1 : Number

The index into Matrix4 for column 3, row 1.

staticconstantCesium.Matrix4.COLUMN3ROW2 : Number

The index into Matrix4 for column 3, row 2.

staticconstantCesium.Matrix4.COLUMN3ROW3 : Number

The index into Matrix4 for column 3, row 3.

staticconstantCesium.Matrix4.IDENTITY : Matrix4

An immutable Matrix4 instance initialized to the identity matrix.

staticCesium.Matrix4.packedLength : Number

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

staticconstantCesium.Matrix4.ZERO : Matrix4

An immutable Matrix4 instance initialized to the zero matrix.

Methods

clone(result) → Matrix4

Duplicates the provided Matrix4 instance.

Name	Type	Description
result	Matrix4	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Matrix4 instance if one was not provided.

equals(right) → Boolean

Compares this matrix to the provided matrix componentwise and returns true if they are equal, false otherwise.

Name	Type	Description
right	Matrix4	optional The right hand side matrix.

Returns:

true if they are equal, false otherwise.

equalsEpsilon(right, epsilon) → Boolean

Compares this matrix to the provided matrix componentwise and returns true if they are within the provided epsilon, false otherwise.

Name	Type	Description
right	Matrix4	optional The right hand side matrix.
epsilon	Number	The epsilon to use for equality testing.

Returns:

true if they are within the provided epsilon, false otherwise.

toString() → String

Computes a string representing this Matrix with each row being on a separate line and in the format '(column0, column1, column2, column3)'.

Returns:

A string representing the provided Matrix with each row being on a separate line and in the format '(column0, column1, column2, column3)'.

staticCesium.Matrix4.abs(matrix, result) → Matrix4

Computes a matrix, which contains the absolute (unsigned) values of the provided matrix's elements.

Name	Type	Description
matrix	Matrix4	The matrix with signed elements.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.add(left, right, result) → Matrix4

Computes the sum of two matrices.

Name	Type	Description
left	Matrix4	The first matrix.
right	Matrix4	The second matrix.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.clone(matrix, result) → Matrix4

Duplicates a Matrix4 instance.

Name	Type	Description
matrix	Matrix4	The matrix to duplicate.
result	Matrix4	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Matrix4 instance if one was not provided. (Returns undefined if matrix is undefined)

staticCesium.Matrix4.computeInfinitePerspectiveOffCenter(left, right, bottom, top, near, result) → Matrix4

Computes a Matrix4 instance representing an infinite off center perspective transformation.

Name	Type	Description
left	Number	The number of meters to the left of the camera that will be in view.
right	Number	The number of meters to the right of the camera that will be in view.
bottom	Number	The number of meters below of the camera that will be in view.
top	Number	The number of meters above of the camera that will be in view.
near	Number	The distance to the near plane in meters.
result	Matrix4	The object in which the result will be stored.

Returns:

The modified result parameter.

staticCesium.Matrix4.computeOrthographicOffCenter(left, right, bottom, top, near, far, result) → Matrix4

Computes a Matrix4 instance representing an orthographic transformation matrix.

Name	Type	Description
left	Number	The number of meters to the left of the camera that will be in view.
right	Number	The number of meters to the right of the camera that will be in view.
bottom	Number	The number of meters below of the camera that will be in view.
top	Number	The number of meters above of the camera that will be in view.
near	Number	The distance to the near plane in meters.
far	Number	The distance to the far plane in meters.
result	Matrix4	The object in which the result will be stored.

Returns:

The modified result parameter.

staticCesium.Matrix4.computePerspectiveFieldOfView(fovY, aspectRatio, near, far, result) → Matrix4

Computes a Matrix4 instance representing a perspective transformation matrix.

Name	Type	Description
fovY	Number	The field of view along the Y axis in radians.
aspectRatio	Number	The aspect ratio.
near	Number	The distance to the near plane in meters.
far	Number	The distance to the far plane in meters.
result	Matrix4	The object in which the result will be stored.

Returns:

The modified result parameter.

Throws:

• DeveloperError : fovY must be in (0, PI].
• DeveloperError : aspectRatio must be greater than zero.
• DeveloperError : near must be greater than zero.
• DeveloperError : far must be greater than zero.

staticCesium.Matrix4.computePerspectiveOffCenter(left, right, bottom, top, near, far, result) → Matrix4

Computes a Matrix4 instance representing an off center perspective transformation.

Name	Type	Description
left	Number	The number of meters to the left of the camera that will be in view.
right	Number	The number of meters to the right of the camera that will be in view.
bottom	Number	The number of meters below of the camera that will be in view.
top	Number	The number of meters above of the camera that will be in view.
near	Number	The distance to the near plane in meters.
far	Number	The distance to the far plane in meters.
result	Matrix4	The object in which the result will be stored.

Returns:

The modified result parameter.

staticCesium.Matrix4.computeView(position, direction, up, right, result) → Matrix4

Computes a Matrix4 instance that transforms from world space to view space.

Name	Type	Description
position	Cartesian3	The position of the camera.
direction	Cartesian3	The forward direction.
up	Cartesian3	The up direction.
right	Cartesian3	The right direction.
result	Matrix4	The object in which the result will be stored.

Returns:

The modified result parameter.

staticCesium.Matrix4.computeViewportTransformation(viewport, nearDepthRange, farDepthRange, result) → Matrix4

Computes a Matrix4 instance that transforms from normalized device coordinates to window coordinates.

Name	Type	Default	Description
viewport	Object	{ x : 0.0, y : 0.0, width : 0.0, height : 0.0 }	optional The viewport's corners as shown in Example 1.
nearDepthRange	Number	0.0	optional The near plane distance in window coordinates.
farDepthRange	Number	1.0	optional The far plane distance in window coordinates.
result	Matrix4		The object in which the result will be stored.

Returns:

The modified result parameter.

Example:

// Create viewport transformation using an explicit viewport and depth range.
var m = Cesium.Matrix4.computeViewportTransformation({
    x : 0.0,
    y : 0.0,
    width : 1024.0,
    height : 768.0
}, 0.0, 1.0, new Cesium.Matrix4());

staticCesium.Matrix4.equals(left, right) → Boolean

Compares the provided matrices componentwise and returns true if they are equal, false otherwise.

Name	Type	Description
left	Matrix4	optional The first matrix.
right	Matrix4	optional The second matrix.

Returns:

true if left and right are equal, false otherwise.

Example:

//compares two Matrix4 instances

// a = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

// b = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

if(Cesium.Matrix4.equals(a,b)) {
     console.log("Both matrices are equal");
} else {
     console.log("They are not equal");
}

//Prints "Both matrices are equal" on the console

staticCesium.Matrix4.equalsEpsilon(left, right, epsilon) → Boolean

Compares the provided matrices componentwise and returns true if they are within the provided epsilon, false otherwise.

Name	Type	Description
left	Matrix4	optional The first matrix.
right	Matrix4	optional The second matrix.
epsilon	Number	The epsilon to use for equality testing.

Returns:

true if left and right are within the provided epsilon, false otherwise.

Example:

//compares two Matrix4 instances

// a = [10.5, 14.5, 18.5, 22.5]
//     [11.5, 15.5, 19.5, 23.5]
//     [12.5, 16.5, 20.5, 24.5]
//     [13.5, 17.5, 21.5, 25.5]

// b = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

if(Cesium.Matrix4.equalsEpsilon(a,b,0.1)){
     console.log("Difference between both the matrices is less than 0.1");
} else {
     console.log("Difference between both the matrices is not less than 0.1");
}

//Prints "Difference between both the matrices is not less than 0.1" on the console

staticCesium.Matrix4.fromArray(array, startingIndex, result) → Matrix4

Creates a Matrix4 from 16 consecutive elements in an array.

Name	Type	Default	Description
array	Array.<Number>		The array whose 16 consecutive elements correspond to the positions of the matrix. Assumes column-major order.
startingIndex	Number	0	optional The offset into the array of the first element, which corresponds to first column first row position in the matrix.
result	Matrix4		optional The object onto which to store the result.

Returns:

The modified result parameter or a new Matrix4 instance if one was not provided.

Example:

// Create the Matrix4:
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]

var v = [1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
var m = Cesium.Matrix4.fromArray(v);

// Create same Matrix4 with using an offset into an array
var v2 = [0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
var m2 = Cesium.Matrix4.fromArray(v2, 2);

staticCesium.Matrix4.fromCamera(camera, result) → Matrix4

Computes a Matrix4 instance from a Camera.

Name	Type	Description
camera	Camera	The camera to use.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

staticCesium.Matrix4.fromColumnMajorArray(values, result) → Matrix4

Computes a Matrix4 instance from a column-major order array.

Name	Type	Description
values	Array.<Number>	The column-major order array.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

staticCesium.Matrix4.fromRotationTranslation(rotation, translation, result) → Matrix4

Computes a Matrix4 instance from a Matrix3 representing the rotation and a Cartesian3 representing the translation.

Name	Type	Default	Description
rotation	Matrix3		The upper left portion of the matrix representing the rotation.
translation	Cartesian3	Cartesian3.ZERO	optional The upper right portion of the matrix representing the translation.
result	Matrix4		optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

staticCesium.Matrix4.fromRowMajorArray(values, result) → Matrix4

Computes a Matrix4 instance from a row-major order array. The resulting matrix will be in column-major order.

Name	Type	Description
values	Array.<Number>	The row-major order array.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

staticCesium.Matrix4.fromScale(scale, result) → Matrix4

Computes a Matrix4 instance representing a non-uniform scale.

Name	Type	Description
scale	Cartesian3	The x, y, and z scale factors.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

Example:

// Creates
//   [7.0, 0.0, 0.0, 0.0]
//   [0.0, 8.0, 0.0, 0.0]
//   [0.0, 0.0, 9.0, 0.0]
//   [0.0, 0.0, 0.0, 1.0]
var m = Cesium.Matrix4.fromScale(new Cesium.Cartesian3(7.0, 8.0, 9.0));

staticCesium.Matrix4.fromTranslation(translation, result) → Matrix4

Creates a Matrix4 instance from a Cartesian3 representing the translation.

Name	Type	Description
translation	Cartesian3	The upper right portion of the matrix representing the translation.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

See:

• Matrix4.multiplyByTranslation

staticCesium.Matrix4.fromTranslationQuaternionRotationScale(translation, rotation, scale, result) → Matrix4

Computes a Matrix4 instance from a translation, rotation, and scale (TRS) representation with the rotation represented as a quaternion.

Name	Type	Description
translation	Cartesian3	The translation transformation.
rotation	Quaternion	The rotation transformation.
scale	Cartesian3	The non-uniform scale transformation.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

Example:

var result = Cesium.Matrix4.fromTranslationQuaternionRotationScale(
  new Cesium.Cartesian3(1.0, 2.0, 3.0), // translation
  Cesium.Quaternion.IDENTITY,           // rotation
  new Cesium.Cartesian3(7.0, 8.0, 9.0), // scale
  result);

staticCesium.Matrix4.fromTranslationRotationScale(translationRotationScale, result) → Matrix4

Creates a Matrix4 instance from a TranslationRotationScale instance.

Name	Type	Description
translationRotationScale	TranslationRotationScale	The instance.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

staticCesium.Matrix4.fromUniformScale(scale, result) → Matrix4

Computes a Matrix4 instance representing a uniform scale.

Name	Type	Description
scale	Number	The uniform scale factor.
result	Matrix4	optional The object in which the result will be stored, if undefined a new instance will be created.

Returns:

The modified result parameter, or a new Matrix4 instance if one was not provided.

Example:

// Creates
//   [2.0, 0.0, 0.0, 0.0]
//   [0.0, 2.0, 0.0, 0.0]
//   [0.0, 0.0, 2.0, 0.0]
//   [0.0, 0.0, 0.0, 1.0]
var m = Cesium.Matrix4.fromUniformScale(2.0);

staticCesium.Matrix4.getColumn(matrix, index, result) → Cartesian4

Retrieves a copy of the matrix column at the provided index as a Cartesian4 instance.

Name	Type	Description
matrix	Matrix4	The matrix to use.
index	Number	The zero-based index of the column to retrieve.
result	Cartesian4	The object onto which to store the result.

Returns:

The modified result parameter.

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Examples:

//returns a Cartesian4 instance with values from the specified column
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

//Example 1: Creates an instance of Cartesian
var a = Cesium.Matrix4.getColumn(m, 2, new Cesium.Cartesian4());

//Example 2: Sets values for Cartesian instance
var a = new Cesium.Cartesian4();
Cesium.Matrix4.getColumn(m, 2, a);

// a.x = 12.0; a.y = 16.0; a.z = 20.0; a.w = 24.0;

staticCesium.Matrix4.getElementIndex(row, column) → Number

Computes the array index of the element at the provided row and column.

Name	Type	Description
row	Number	The zero-based index of the row.
column	Number	The zero-based index of the column.

Returns:

The index of the element at the provided row and column.

Throws:

• DeveloperError : row must be 0, 1, 2, or 3.
• DeveloperError : column must be 0, 1, 2, or 3.

Example:

var myMatrix = new Cesium.Matrix4();
var column1Row0Index = Cesium.Matrix4.getElementIndex(1, 0);
var column1Row0 = myMatrix[column1Row0Index];
myMatrix[column1Row0Index] = 10.0;

staticCesium.Matrix4.getMaximumScale(matrix) → Number

Computes the maximum scale assuming the matrix is an affine transformation. The maximum scale is the maximum length of the column vectors in the upper-left 3x3 matrix.

Name	Type	Description
matrix	Matrix4	The matrix.

Returns:

The maximum scale.

staticCesium.Matrix4.getRotation(matrix, result) → Matrix3

Gets the upper left 3x3 rotation matrix of the provided matrix, assuming the matrix is a affine transformation matrix.

Name	Type	Description
matrix	Matrix4	The matrix to use.
result	Matrix3	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

// returns a Matrix3 instance from a Matrix4 instance

// m = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

var b = new Cesium.Matrix3();
Cesium.Matrix4.getRotation(m,b);

// b = [10.0, 14.0, 18.0]
//     [11.0, 15.0, 19.0]
//     [12.0, 16.0, 20.0]

staticCesium.Matrix4.getRow(matrix, index, result) → Cartesian4

Retrieves a copy of the matrix row at the provided index as a Cartesian4 instance.

Name	Type	Description
matrix	Matrix4	The matrix to use.
index	Number	The zero-based index of the row to retrieve.
result	Cartesian4	The object onto which to store the result.

Returns:

The modified result parameter.

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Examples:

//returns a Cartesian4 instance with values from the specified column
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

//Example 1: Returns an instance of Cartesian
var a = Cesium.Matrix4.getRow(m, 2, new Cesium.Cartesian4());

//Example 2: Sets values for a Cartesian instance
var a = new Cesium.Cartesian4();
Cesium.Matrix4.getRow(m, 2, a);

// a.x = 18.0; a.y = 19.0; a.z = 20.0; a.w = 21.0;

staticCesium.Matrix4.getScale(matrix, result) → Cartesian3

Extracts the non-uniform scale assuming the matrix is an affine transformation.

Name	Type	Description
matrix	Matrix4	The matrix.
result	Cartesian3	The object onto which to store the result.

Returns:

The modified result parameter

staticCesium.Matrix4.getTranslation(matrix, result) → Cartesian3

Gets the translation portion of the provided matrix, assuming the matrix is a affine transformation matrix.

Name	Type	Description
matrix	Matrix4	The matrix to use.
result	Cartesian3	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.inverse(matrix, result) → Matrix4

Computes the inverse of the provided matrix using Cramers Rule. If the determinant is zero, the matrix can not be inverted, and an exception is thrown. If the matrix is an affine transformation matrix, it is more efficient to invert it with Matrix4.inverseTransformation.

Name	Type	Description
matrix	Matrix4	The matrix to invert.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Throws:

• RuntimeError : matrix is not invertible because its determinate is zero.

staticCesium.Matrix4.inverseTransformation(matrix, result) → Matrix4

Computes the inverse of the provided matrix assuming it is an affine transformation matrix, where the upper left 3x3 elements are a rotation matrix, and the upper three elements in the fourth column are the translation. The bottom row is assumed to be [0, 0, 0, 1]. The matrix is not verified to be in the proper form. This method is faster than computing the inverse for a general 4x4 matrix using Matrix4.inverse.

Name	Type	Description
matrix	Matrix4	The matrix to invert.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.multiply(left, right, result) → Matrix4

Computes the product of two matrices.

Name	Type	Description
left	Matrix4	The first matrix.
right	Matrix4	The second matrix.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.multiplyByMatrix3(matrix, rotation, result) → Matrix4

Multiplies a transformation matrix (with a bottom row of [0.0, 0.0, 0.0, 1.0]) by a 3x3 rotation matrix. This is an optimization for Matrix4.multiply(m, Matrix4.fromRotationTranslation(rotation), m); with less allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The matrix on the left-hand side.
rotation	Matrix3	The 3x3 rotation matrix on the right-hand side.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromRotationTranslation(rotation), m);
Cesium.Matrix4.multiplyByMatrix3(m, rotation, m);

staticCesium.Matrix4.multiplyByPoint(matrix, cartesian, result) → Cartesian3

Computes the product of a matrix and a Cartesian3. This is equivalent to calling Matrix4.multiplyByVector with a Cartesian4 with a w component of 1, but returns a Cartesian3 instead of a Cartesian4.

Name	Type	Description
matrix	Matrix4	The matrix.
cartesian	Cartesian3	The point.
result	Cartesian3	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

var p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
var result = Cesium.Matrix4.multiplyByPoint(matrix, p, new Cesium.Cartesian3());

staticCesium.Matrix4.multiplyByPointAsVector(matrix, cartesian, result) → Cartesian3

Computes the product of a matrix and a Cartesian3. This is equivalent to calling Matrix4.multiplyByVector with a Cartesian4 with a w component of zero.

Name	Type	Description
matrix	Matrix4	The matrix.
cartesian	Cartesian3	The point.
result	Cartesian3	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

var p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
var result = Cesium.Matrix4.multiplyByPointAsVector(matrix, p, new Cesium.Cartesian3());
// A shortcut for
//   Cartesian3 p = ...
//   Cesium.Matrix4.multiplyByVector(matrix, new Cesium.Cartesian4(p.x, p.y, p.z, 0.0), result);

staticCesium.Matrix4.multiplyByScalar(matrix, scalar, result) → Matrix4

Computes the product of a matrix and a scalar.

Name	Type	Description
matrix	Matrix4	The matrix.
scalar	Number	The number to multiply by.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

//create a Matrix4 instance which is a scaled version of the supplied Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.multiplyByScalar(m, -2, new Cesium.Matrix4());

// m remains the same
// a = [-20.0, -22.0, -24.0, -26.0]
//     [-28.0, -30.0, -32.0, -34.0]
//     [-36.0, -38.0, -40.0, -42.0]
//     [-44.0, -46.0, -48.0, -50.0]

staticCesium.Matrix4.multiplyByScale(matrix, scale, result) → Matrix4

Multiplies an affine transformation matrix (with a bottom row of [0.0, 0.0, 0.0, 1.0]) by an implicit non-uniform scale matrix. This is an optimization for Matrix4.multiply(m, Matrix4.fromUniformScale(scale), m);, where m must be an affine matrix. This function performs fewer allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The affine matrix on the left-hand side.
scale	Cartesian3	The non-uniform scale on the right-hand side.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromScale(scale), m);
Cesium.Matrix4.multiplyByScale(m, scale, m);

See:

• Matrix4.fromScale
• Matrix4.multiplyByUniformScale

staticCesium.Matrix4.multiplyByTranslation(matrix, translation, result) → Matrix4

Multiplies a transformation matrix (with a bottom row of [0.0, 0.0, 0.0, 1.0]) by an implicit translation matrix defined by a Cartesian3. This is an optimization for Matrix4.multiply(m, Matrix4.fromTranslation(position), m); with less allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The matrix on the left-hand side.
translation	Cartesian3	The translation on the right-hand side.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromTranslation(position), m);
Cesium.Matrix4.multiplyByTranslation(m, position, m);

staticCesium.Matrix4.multiplyByUniformScale(matrix, scale, result) → Matrix4

Multiplies an affine transformation matrix (with a bottom row of [0.0, 0.0, 0.0, 1.0]) by an implicit uniform scale matrix. This is an optimization for Matrix4.multiply(m, Matrix4.fromUniformScale(scale), m);, where m must be an affine matrix. This function performs fewer allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The affine matrix on the left-hand side.
scale	Number	The uniform scale on the right-hand side.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

// Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromUniformScale(scale), m);
Cesium.Matrix4.multiplyByUniformScale(m, scale, m);

See:

• Matrix4.fromUniformScale
• Matrix4.multiplyByScale

staticCesium.Matrix4.multiplyByVector(matrix, cartesian, result) → Cartesian4

Computes the product of a matrix and a column vector.

Name	Type	Description
matrix	Matrix4	The matrix.
cartesian	Cartesian4	The vector.
result	Cartesian4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.multiplyTransformation(left, right, result) → Matrix4

Computes the product of two matrices assuming the matrices are affine transformation matrices, where the upper left 3x3 elements are a rotation matrix, and the upper three elements in the fourth column are the translation. The bottom row is assumed to be [0, 0, 0, 1]. The matrix is not verified to be in the proper form. This method is faster than computing the product for general 4x4 matrices using Matrix4.multiply.

Name	Type	Description
left	Matrix4	The first matrix.
right	Matrix4	The second matrix.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

var m1 = new Cesium.Matrix4(1.0, 6.0, 7.0, 0.0, 2.0, 5.0, 8.0, 0.0, 3.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0);
var m2 = Cesium.Transforms.eastNorthUpToFixedFrame(new Cesium.Cartesian3(1.0, 1.0, 1.0));
var m3 = Cesium.Matrix4.multiplyTransformation(m1, m2, new Cesium.Matrix4());

staticCesium.Matrix4.negate(matrix, result) → Matrix4

Computes a negated copy of the provided matrix.

Name	Type	Description
matrix	Matrix4	The matrix to negate.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

//create a new Matrix4 instance which is a negation of a Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.negate(m, new Cesium.Matrix4());

// m remains the same
// a = [-10.0, -11.0, -12.0, -13.0]
//     [-14.0, -15.0, -16.0, -17.0]
//     [-18.0, -19.0, -20.0, -21.0]
//     [-22.0, -23.0, -24.0, -25.0]

staticCesium.Matrix4.pack(value, array, startingIndex) → Array.<Number>

Stores the provided instance into the provided array.

Name	Type	Default	Description
value	Matrix4		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.

Returns:

The array that was packed into

staticCesium.Matrix4.setColumn(matrix, index, cartesian, result) → Matrix4

Computes a new matrix that replaces the specified column in the provided matrix with the provided Cartesian4 instance.

Name	Type	Description
matrix	Matrix4	The matrix to use.
index	Number	The zero-based index of the column to set.
cartesian	Cartesian4	The Cartesian whose values will be assigned to the specified column.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Example:

//creates a new Matrix4 instance with new column values from the Cartesian4 instance
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.setColumn(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());

// m remains the same
// a = [10.0, 11.0, 99.0, 13.0]
//     [14.0, 15.0, 98.0, 17.0]
//     [18.0, 19.0, 97.0, 21.0]
//     [22.0, 23.0, 96.0, 25.0]

staticCesium.Matrix4.setRow(matrix, index, cartesian, result) → Matrix4

Computes a new matrix that replaces the specified row in the provided matrix with the provided Cartesian4 instance.

Name	Type	Description
matrix	Matrix4	The matrix to use.
index	Number	The zero-based index of the row to set.
cartesian	Cartesian4	The Cartesian whose values will be assigned to the specified row.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Throws:

• DeveloperError : index must be 0, 1, 2, or 3.

Example:

//create a new Matrix4 instance with new row values from the Cartesian4 instance
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.setRow(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());

// m remains the same
// a = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [99.0, 98.0, 97.0, 96.0]
//     [22.0, 23.0, 24.0, 25.0]

staticCesium.Matrix4.setTranslation(matrix, translation, result) → Matrix4

Computes a new matrix that replaces the translation in the rightmost column of the provided matrix with the provided translation. This assumes the matrix is an affine transformation

Name	Type	Description
matrix	Matrix4	The matrix to use.
translation	Cartesian3	The translation that replaces the translation of the provided matrix.
result	Cartesian4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.subtract(left, right, result) → Matrix4

Computes the difference of two matrices.

Name	Type	Description
left	Matrix4	The first matrix.
right	Matrix4	The second matrix.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

staticCesium.Matrix4.toArray(matrix, result) → Array.<Number>

Computes an Array from the provided Matrix4 instance. The array will be in column-major order.

Name	Type	Description
matrix	Matrix4	The matrix to use..
result	Array.<Number>	optional The Array onto which to store the result.

Returns:

The modified Array parameter or a new Array instance if one was not provided.

Example:

//create an array from an instance of Matrix4
// m = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]
var a = Cesium.Matrix4.toArray(m);

// m remains the same
//creates a = [10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0]

staticCesium.Matrix4.transpose(matrix, result) → Matrix4

Computes the transpose of the provided matrix.

Name	Type	Description
matrix	Matrix4	The matrix to transpose.
result	Matrix4	The object onto which to store the result.

Returns:

The modified result parameter.

Example:

//returns transpose of a Matrix4
// m = [10.0, 11.0, 12.0, 13.0]
//     [14.0, 15.0, 16.0, 17.0]
//     [18.0, 19.0, 20.0, 21.0]
//     [22.0, 23.0, 24.0, 25.0]

var a = Cesium.Matrix4.transpose(m, new Cesium.Matrix4());

// m remains the same
// a = [10.0, 14.0, 18.0, 22.0]
//     [11.0, 15.0, 19.0, 23.0]
//     [12.0, 16.0, 20.0, 24.0]
//     [13.0, 17.0, 21.0, 25.0]

staticCesium.Matrix4.unpack(array, startingIndex, result) → Matrix4

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	Matrix4		optional The object into which to store the result.

Returns:

The modified result parameter or a new Matrix4 instance if one was not provided.