Matrix4

new Cesium.Matrix4(column0Row0, column1Row0, column2Row0, column3Row0, column0Row1, column1Row1, column2Row1, column3Row1, column0Row2, column1Row2, column2Row2, column3Row2, column0Row3, column1Row3, column2Row3, column3Row3)
Core/Matrix4.js 65

A 4x4 matrix, indexable as a column-major order array. Constructor parameters are in row-major order for code readability.
Name Type Default Description
column0Row0 Number 0.0 optional The value for column 0, row 0.
column1Row0 Number 0.0 optional The value for column 1, row 0.
column2Row0 Number 0.0 optional The value for column 2, row 0.
column3Row0 Number 0.0 optional The value for column 3, row 0.
column0Row1 Number 0.0 optional The value for column 0, row 1.
column1Row1 Number 0.0 optional The value for column 1, row 1.
column2Row1 Number 0.0 optional The value for column 2, row 1.
column3Row1 Number 0.0 optional The value for column 3, row 1.
column0Row2 Number 0.0 optional The value for column 0, row 2.
column1Row2 Number 0.0 optional The value for column 1, row 2.
column2Row2 Number 0.0 optional The value for column 2, row 2.
column3Row2 Number 0.0 optional The value for column 3, row 2.
column0Row3 Number 0.0 optional The value for column 0, row 3.
column1Row3 Number 0.0 optional The value for column 1, row 3.
column2Row3 Number 0.0 optional The value for column 2, row 3.
column3Row3 Number 0.0 optional The value for column 3, row 3.
See:

Members

staticconstantCesium.Matrix4.COLUMN0ROW0 : Number
Core/Matrix4.js 2585

The index into Matrix4 for column 0, row 0.

staticconstantCesium.Matrix4.COLUMN0ROW1 : Number
Core/Matrix4.js 2593

The index into Matrix4 for column 0, row 1.

staticconstantCesium.Matrix4.COLUMN0ROW2 : Number
Core/Matrix4.js 2601

The index into Matrix4 for column 0, row 2.

staticconstantCesium.Matrix4.COLUMN0ROW3 : Number
Core/Matrix4.js 2609

The index into Matrix4 for column 0, row 3.

staticconstantCesium.Matrix4.COLUMN1ROW0 : Number
Core/Matrix4.js 2617

The index into Matrix4 for column 1, row 0.

staticconstantCesium.Matrix4.COLUMN1ROW1 : Number
Core/Matrix4.js 2625

The index into Matrix4 for column 1, row 1.

staticconstantCesium.Matrix4.COLUMN1ROW2 : Number
Core/Matrix4.js 2633

The index into Matrix4 for column 1, row 2.

staticconstantCesium.Matrix4.COLUMN1ROW3 : Number
Core/Matrix4.js 2641

The index into Matrix4 for column 1, row 3.

staticconstantCesium.Matrix4.COLUMN2ROW0 : Number
Core/Matrix4.js 2649

The index into Matrix4 for column 2, row 0.

staticconstantCesium.Matrix4.COLUMN2ROW1 : Number
Core/Matrix4.js 2657

The index into Matrix4 for column 2, row 1.

staticconstantCesium.Matrix4.COLUMN2ROW2 : Number
Core/Matrix4.js 2665

The index into Matrix4 for column 2, row 2.

staticconstantCesium.Matrix4.COLUMN2ROW3 : Number
Core/Matrix4.js 2673

The index into Matrix4 for column 2, row 3.

staticconstantCesium.Matrix4.COLUMN3ROW0 : Number
Core/Matrix4.js 2681

The index into Matrix4 for column 3, row 0.

staticconstantCesium.Matrix4.COLUMN3ROW1 : Number
Core/Matrix4.js 2689

The index into Matrix4 for column 3, row 1.

staticconstantCesium.Matrix4.COLUMN3ROW2 : Number
Core/Matrix4.js 2697

The index into Matrix4 for column 3, row 2.

staticconstantCesium.Matrix4.COLUMN3ROW3 : Number
Core/Matrix4.js 2705

The index into Matrix4 for column 3, row 3.

staticconstantCesium.Matrix4.IDENTITY : Matrix4
Core/Matrix4.js 2563

An immutable Matrix4 instance initialized to the identity matrix.

staticCesium.Matrix4.packedLength : Number
Core/Matrix4.js 91

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

staticconstantCesium.Matrix4.ZERO : Matrix4
Core/Matrix4.js 2574

An immutable Matrix4 instance initialized to the zero matrix.

Methods

clone(result) → Matrix4
Core/Matrix4.js 2713

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
Core/Matrix4.js 2724

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
Core/Matrix4.js 2759

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
Core/Matrix4.js 2769

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
Core/Matrix4.js 2126

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
Core/Matrix4.js 1434

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
Core/Matrix4.js 178

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, far, result) → Matrix4
Core/Matrix4.js 846

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 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
Core/Matrix4.js 715

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
Core/Matrix4.js 658

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:

staticCesium.Matrix4.computePerspectiveOffCenter(left, right, bottom, top, near, far, result) → Matrix4
Core/Matrix4.js 782

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.computeViewportTransformation(viewport, nearDepthRange, farDepthRange, result) → Matrix4
Core/Matrix4.js 913

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
Core/Matrix4.js 2185

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
Core/Matrix4.js 2247

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
Core/Matrix4.js 230

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
Core/Matrix4.js 558

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
Core/Matrix4.js 239

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
Core/Matrix4.js 298

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
Core/Matrix4.js 257

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
Core/Matrix4.js 465

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
Core/Matrix4.js 440

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:

staticCesium.Matrix4.fromTranslationQuaternionRotationScale(translation, rotation, scale, result) → Matrix4
Core/Matrix4.js 350

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
Core/Matrix4.js 421

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
Core/Matrix4.js 514

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
Core/Matrix4.js 1066

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:
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
Core/Matrix4.js 1026

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:
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
Core/Matrix4.js 1327

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
Core/Matrix4.js 2320

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
Core/Matrix4.js 1216

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:
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
Core/Matrix4.js 1301

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
Core/Matrix4.js 2282

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
Core/Matrix4.js 2359

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
Core/Matrix4.js 2504

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
Core/Matrix4.js 1340

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
Core/Matrix4.js 1613

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
Core/Matrix4.js 1927

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
Core/Matrix4.js 1887

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
Core/Matrix4.js 1978

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
Core/Matrix4.js 1792

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:

staticCesium.Matrix4.multiplyByTranslation(matrix, translation, result) → Matrix4
Core/Matrix4.js 1691

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
Core/Matrix4.js 1753

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:

staticCesium.Matrix4.multiplyByVector(matrix, cartesian, result) → Cartesian4
Core/Matrix4.js 1841

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
Core/Matrix4.js 1525

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
Core/Matrix4.js 2032

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)
Core/Matrix4.js 100

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.

staticCesium.Matrix4.setColumn(matrix, index, cartesian, result) → Matrix4
Core/Matrix4.js 1119

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:
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
Core/Matrix4.js 1268

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:
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
Core/Matrix4.js 1153

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
Core/Matrix4.js 1474

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>
Core/Matrix4.js 978

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
Core/Matrix4.js 2083

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
Core/Matrix4.js 139

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.