Matrix4

Members

staticMatrix4.COLUMN0ROW0

The index into Matrix4 for column 0, row 0.

Source: Core/Matrix4.js, line 2415

staticMatrix4.COLUMN0ROW1

The index into Matrix4 for column 0, row 1.

Source: Core/Matrix4.js, line 2421

staticMatrix4.COLUMN0ROW2

The index into Matrix4 for column 0, row 2.

Source: Core/Matrix4.js, line 2427

staticMatrix4.COLUMN0ROW3

The index into Matrix4 for column 0, row 3.

Source: Core/Matrix4.js, line 2433

staticMatrix4.COLUMN1ROW0

The index into Matrix4 for column 1, row 0.

Source: Core/Matrix4.js, line 2439

staticMatrix4.COLUMN1ROW1

The index into Matrix4 for column 1, row 1.

Source: Core/Matrix4.js, line 2445

staticMatrix4.COLUMN1ROW2

The index into Matrix4 for column 1, row 2.

Source: Core/Matrix4.js, line 2451

staticMatrix4.COLUMN1ROW3

The index into Matrix4 for column 1, row 3.

Source: Core/Matrix4.js, line 2457

staticMatrix4.COLUMN2ROW0

The index into Matrix4 for column 2, row 0.

Source: Core/Matrix4.js, line 2463

staticMatrix4.COLUMN2ROW1

The index into Matrix4 for column 2, row 1.

Source: Core/Matrix4.js, line 2469

staticMatrix4.COLUMN2ROW2

The index into Matrix4 for column 2, row 2.

Source: Core/Matrix4.js, line 2475

staticMatrix4.COLUMN2ROW3

The index into Matrix4 for column 2, row 3.

Source: Core/Matrix4.js, line 2481

staticMatrix4.COLUMN3ROW0

The index into Matrix4 for column 3, row 0.

Source: Core/Matrix4.js, line 2487

staticMatrix4.COLUMN3ROW1

The index into Matrix4 for column 3, row 1.

Source: Core/Matrix4.js, line 2493

staticMatrix4.COLUMN3ROW2

The index into Matrix4 for column 3, row 2.

Source: Core/Matrix4.js, line 2499

staticMatrix4.COLUMN3ROW3

The index into Matrix4 for column 3, row 3.

Source: Core/Matrix4.js, line 2505

staticMatrix4.fromArray

Creates a Matrix4 from 16 consecutive elements in an array.

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);

Source: Core/Matrix4.js, line 232

staticMatrix4.IDENTITY

An immutable Matrix4 instance initialized to the identity matrix.

Source: Core/Matrix4.js, line 2406

staticMatrix4.packedLength :Number

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

Source: Core/Matrix4.js, line 90

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.

Source: Core/Matrix4.js, line 2514

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.

Source: Core/Matrix4.js, line 2526

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.

Source: Core/Matrix4.js, line 2540

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)'.

Source: Core/Matrix4.js, line 2551

staticMatrix4.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	optional The object onto which to store the result.

Returns:

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

Source: Core/Matrix4.js, line 1986

staticMatrix4.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)

Source: Core/Matrix4.js, line 179

staticMatrix4.computeInfinitePerspectiveOffCenter(left, right, bottom, top, near, far, result)

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.
far	Number	The distance to the far plane in meters.
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.

Source: Core/Matrix4.js, line 857

staticMatrix4.computeOrthographicOffCenter(left, right, bottom, top, near, far, result)

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	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.

Source: Core/Matrix4.js, line 716

staticMatrix4.computePerspectiveFieldOfView(fovY, aspectRatio, near, far, result)

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	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.

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.

Source: Core/Matrix4.js, line 651

staticMatrix4.computePerspectiveOffCenter(left, right, bottom, top, near, far, result)

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	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.

Source: Core/Matrix4.js, line 788

staticMatrix4.computeViewportTransformation(viewport, nearDepthRange, farDepthRange, result)

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		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:

// Example 1.  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);

// Example 2.  Create viewport transformation using the context's viewport.
var m = Cesium.Matrix4.computeViewportTransformation(context.getViewport());

See:

• czm_viewportTransformation

Source: Core/Matrix4.js, line 934

staticMatrix4.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

Source: Core/Matrix4.js, line 2051

staticMatrix4.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

Source: Core/Matrix4.js, line 2105

staticMatrix4.fromCamera(camera, result)

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.

Source: Core/Matrix4.js, line 550

staticMatrix4.fromColumnMajorArray(values, result)

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

Name	Type	Description
values	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.

Source: Core/Matrix4.js, line 243

staticMatrix4.fromRotationTranslation(rotation, translation, result)

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

Name	Type	Description
rotation	Matrix3	The upper left portion of the matrix representing the rotation.
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.

Source: Core/Matrix4.js, line 304

staticMatrix4.fromRowMajorArray(values, result)

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

Name	Type	Description
values	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.

Source: Core/Matrix4.js, line 262

staticMatrix4.fromScale(scale, result)

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 Cartesian3(7.0, 8.0, 9.0));

Source: Core/Matrix4.js, line 455

staticMatrix4.fromTranslation(translation, result)

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

Source: Core/Matrix4.js, line 435

staticMatrix4.fromTranslationQuaternionRotationScale(translation, rotation, scale, result)

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:

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);

Source: Core/Matrix4.js, line 361

staticMatrix4.fromUniformScale(scale, result)

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.fromScale(2.0);

Source: Core/Matrix4.js, line 505

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian4 instance if one was not provided.

Throws:

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

Example:

//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);

//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;

See:

• Cartesian4

Source: Core/Matrix4.js, line 1091

staticMatrix4.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;

Source: Core/Matrix4.js, line 1049

staticMatrix4.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.

Source: Core/Matrix4.js, line 1312

staticMatrix4.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	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:

// 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]

See:

• Matrix3

Source: Core/Matrix4.js, line 2184

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian4 instance if one was not provided.

Throws:

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

Example:

//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);

//Example 1: Sets values for a Cartesian instance
var a = new Cartesian4();
Cesium.Matrix4.getRow(m, 2, a);

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

See:

• Cartesian4

Source: Core/Matrix4.js, line 1198

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian3 instance if one was not provided.

Source: Core/Matrix4.js, line 1284

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian3 instance if one was not provided.

See:

• Cartesian3

Source: Core/Matrix4.js, line 2143

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian3 instance if one was not provided.

Throws:

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

Source: Core/Matrix4.js, line 2221

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian3 instance if one was not provided.

Source: Core/Matrix4.js, line 2346

staticMatrix4.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	optional The object onto which to store the result.

Returns:

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

Source: Core/Matrix4.js, line 1326

staticMatrix4.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	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:

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

Source: Core/Matrix4.js, line 1773

staticMatrix4.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	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:

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

Source: Core/Matrix4.js, line 1732

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian4 instance if one was not provided.

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);

// 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]

Source: Core/Matrix4.js, line 1825

staticMatrix4.multiplyByScale(matrix, scale, result) → Matrix4

Multiplies a 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.fromScale(scale), m); with less allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The matrix on the left-hand side.
scale	Cartesian3	The non-uniform scale on the right-hand side.
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:

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

See:

• Matrix4.fromScale
• Matrix4.multiplyByUniformScale

Source: Core/Matrix4.js, line 1630

staticMatrix4.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	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:

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

See:

• Matrix4.fromTranslation

Source: Core/Matrix4.js, line 1531

staticMatrix4.multiplyByUniformScale(matrix, scale, result) → Matrix4

Multiplies a 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); with less allocations and arithmetic operations.

Name	Type	Description
matrix	Matrix4	The matrix on the left-hand side.
scale	Number	The uniform scale on the right-hand side.
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:

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

See:

• Matrix4.fromUniformScale
• Matrix4.multiplyByScale

Source: Core/Matrix4.js, line 1597

staticMatrix4.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	optional The object onto which to store the result.

Returns:

The modified result parameter or a new Cartesian4 instance if one was not provided.

Source: Core/Matrix4.js, line 1685

staticMatrix4.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	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:

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);

Source: Core/Matrix4.js, line 1435

staticMatrix4.negate(matrix, result) → Matrix4

Computes a negated copy of the provided matrix.

Name	Type	Description
matrix	Matrix4	The matrix to negate.
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 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);

// 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]

Source: Core/Matrix4.js, line 1883

staticMatrix4.pack(value, array, startingIndex)

Stores the provided instance into the provided array.

Name	Type	Default	Description
value	Matrix4		The value to pack.
array	Number[]		The array to pack into.
startingIndex	Number	0	optional The index into the array at which to start packing the elements.

Source: Core/Matrix4.js, line 100

staticMatrix4.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	Cartesian4	optional The object onto which to store the result.

Returns:

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

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 Cartesian4(99.0, 98.0, 97.0, 96.0));

// 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]

See:

• Cartesian4

Source: Core/Matrix4.js, line 1147

staticMatrix4.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	Cartesian4	optional The object onto which to store the result.

Returns:

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

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 Cartesian4(99.0, 98.0, 97.0, 96.0));

// 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]

See:

• Cartesian4

Source: Core/Matrix4.js, line 1253

staticMatrix4.toArray(matrix, result) → 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	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]

Source: Core/Matrix4.js, line 1000

staticMatrix4.transpose(matrix, result) → Matrix4

Computes the transpose of the provided matrix.

Name	Type	Description
matrix	Matrix4	The matrix to transpose.
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:

//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.negate(m);

// 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]

Source: Core/Matrix4.js, line 1938

staticMatrix4.unpack(array, startingIndex, result)

Retrieves an instance from a packed array.

Name	Type	Default	Description
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.

Source: Core/Matrix4.js, line 139