# Matrix2

#### new Cesium.Matrix2(column0Row0, column1Row0, column0Row1, column1Row1)
engine/Source/Core/Matrix2.js 27

A 2x2 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.
`column0Row1` | number | `0.0` | optional The value for column 0, row 1.
`column1Row1` | number | `0.0` | optional The value for column 1, row 1.

##### See:

- Matrix2.fromArray
- Matrix2.fromColumnMajorArray
- Matrix2.fromRowMajorArray
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.fromRotation
- Matrix3
- Matrix4

### Members

#### length : number
engine/Source/Core/Matrix2.js 1042

Gets the number of items in the collection.

#### static constant Cesium.Matrix2.COLUMN0ROW0 : number
engine/Source/Core/Matrix2.js 997

The index into Matrix2 for column 0, row 0.

##### Example:

    const matrix = new Cesium.Matrix2();
    matrix[Cesium.Matrix2.COLUMN0ROW0] = 5.0; // set column 0, row 0 to 5.0

#### static constant Cesium.Matrix2.COLUMN0ROW1 : number
engine/Source/Core/Matrix2.js 1009

The index into Matrix2 for column 0, row 1.

##### Example:

    const matrix = new Cesium.Matrix2();
    matrix[Cesium.Matrix2.COLUMN0ROW1] = 5.0; // set column 0, row 1 to 5.0

#### static constant Cesium.Matrix2.COLUMN1ROW0 : number
engine/Source/Core/Matrix2.js 1021

The index into Matrix2 for column 1, row 0.

##### Example:

    const matrix = new Cesium.Matrix2();
    matrix[Cesium.Matrix2.COLUMN1ROW0] = 5.0; // set column 1, row 0 to 5.0

#### static constant Cesium.Matrix2.COLUMN1ROW1 : number
engine/Source/Core/Matrix2.js 1033

The index into Matrix2 for column 1, row 1.

##### Example:

    const matrix = new Cesium.Matrix2();
    matrix[Cesium.Matrix2.COLUMN1ROW1] = 5.0; // set column 1, row 1 to 5.0

#### static constant Cesium.Matrix2.IDENTITY : Matrix2
engine/Source/Core/Matrix2.js 977

An immutable Matrix2 instance initialized to the identity matrix.

#### static Cesium.Matrix2.packedLength : number
engine/Source/Core/Matrix2.js 38

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

#### static constant Cesium.Matrix2.ZERO : Matrix2
engine/Source/Core/Matrix2.js 985

An immutable Matrix2 instance initialized to the zero matrix.

### Methods

#### clone(result) → Matrix2
engine/Source/Core/Matrix2.js 1055

Duplicates the provided Matrix2 instance.

Name | Type | Description
--- | --- | ---
`result` | Matrix2 | optional The object onto which to store the result.

##### Returns:

The modified result parameter or a new Matrix2 instance if one was not provided.

#### equals(right) → boolean
engine/Source/Core/Matrix2.js 1066

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

Name | Type | Description
--- | --- | ---
`right` | Matrix2 | optional The right hand side matrix.

##### Returns:

`true` if they are equal, `false` otherwise.

#### equalsEpsilon(right, epsilon) → boolean
engine/Source/Core/Matrix2.js 1079

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

Name | Type | Default | Description
--- | --- | --- | ---
`right` | Matrix2 |  | optional The right hand side matrix.
`epsilon` | number | `0` | optional The epsilon to use for equality testing.

##### Returns:

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

#### toString() → string
engine/Source/Core/Matrix2.js 1089

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

##### Returns:

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

#### static Cesium.Matrix2.abs(matrix, result) → Matrix2
engine/Source/Core/Matrix2.js 902

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

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix with signed elements.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.add(left, right, result) → Matrix2
engine/Source/Core/Matrix2.js 700

Computes the sum of two matrices.

Name | Type | Description
--- | --- | ---
`left` | Matrix2 | The first matrix.
`right` | Matrix2 | The second matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.clone(matrix, result) → Matrix2
engine/Source/Core/Matrix2.js 161

Duplicates a Matrix2 instance.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to duplicate.
`result` | Matrix2 | optional The object onto which to store the result.

##### Returns:

The modified result parameter or a new Matrix2 instance if one was not provided. (Returns undefined if matrix is undefined)

#### static Cesium.Matrix2.equals(left, right) → boolean
engine/Source/Core/Matrix2.js 924

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

Name | Type | Description
--- | --- | ---
`left` | Matrix2 | optional The first matrix.
`right` | Matrix2 | optional The second matrix.

##### Returns:

`true` if left and right are equal, `false` otherwise.

#### static Cesium.Matrix2.equalsEpsilon(left, right, epsilon) → boolean
engine/Source/Core/Matrix2.js 958

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

Name | Type | Default | Description
--- | --- | --- | ---
`left` | Matrix2 |  | optional The first matrix.
`right` | Matrix2 |  | optional The second matrix.
`epsilon` | number | `0` | optional The epsilon to use for equality testing.

##### Returns:

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

#### static Cesium.Matrix2.fromArray(array, startingIndex, result) → Matrix2
engine/Source/Core/Matrix2.js 196

Creates a Matrix2 from 4 consecutive elements in an array.

Name | Type | Default | Description
--- | --- | --- | ---
`array` | Array.<number> |  | The array whose 4 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` | Matrix2 |  | optional The object onto which to store the result.

##### Returns:

The modified result parameter or a new Matrix2 instance if one was not provided.

##### Example:

    // Create the Matrix2:
    // [1.0, 2.0]
    // [1.0, 2.0]

    const v = [1.0, 1.0, 2.0, 2.0];
    const m = Cesium.Matrix2.fromArray(v);

    // Create same Matrix2 with using an offset into an array
    const v2 = [0.0, 0.0, 1.0, 1.0, 2.0, 2.0];
    const m2 = Cesium.Matrix2.fromArray(v2, 2);

#### static Cesium.Matrix2.fromColumnMajorArray(values, result) → Matrix2
engine/Source/Core/Matrix2.js 204

Creates a Matrix2 instance from a column-major order array.

Name | Type | Description
--- | --- | ---
`values` | Array.<number> | The column-major order array.
`result` | Matrix2 | 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 Matrix2 instance if one was not provided.

#### static Cesium.Matrix2.fromRotation(angle, result) → Matrix2
engine/Source/Core/Matrix2.js 306

Creates a rotation matrix.

Name | Type | Description
--- | --- | ---
`angle` | number | The angle, in radians, of the rotation. Positive angles are counterclockwise.
`result` | Matrix2 | 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 Matrix2 instance if one was not provided.

##### Example:

    // Rotate a point 45 degrees counterclockwise.
    const p = new Cesium.Cartesian2(5, 6);
    const m = Cesium.Matrix2.fromRotation(Cesium.Math.toRadians(45.0));
    const rotated = Cesium.Matrix2.multiplyByVector(m, p, new Cesium.Cartesian2());

#### static Cesium.Matrix2.fromRowMajorArray(values, result) → Matrix2
engine/Source/Core/Matrix2.js 220

Creates a Matrix2 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` | Matrix2 | 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 Matrix2 instance if one was not provided.

#### static Cesium.Matrix2.fromScale(scale, result) → Matrix2
engine/Source/Core/Matrix2.js 248

Computes a Matrix2 instance representing a non-uniform scale.

Name | Type | Description
--- | --- | ---
`scale` | Cartesian2 | The x and y scale factors.
`result` | Matrix2 | 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 Matrix2 instance if one was not provided.

##### Example:

    // Creates
    //   [7.0, 0.0]
    //   [0.0, 8.0]
    const m = Cesium.Matrix2.fromScale(new Cesium.Cartesian2(7.0, 8.0));

#### static Cesium.Matrix2.fromUniformScale(scale, result) → Matrix2
engine/Source/Core/Matrix2.js 277

Computes a Matrix2 instance representing a uniform scale.

Name | Type | Description
--- | --- | ---
`scale` | number | The uniform scale factor.
`result` | Matrix2 | 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 Matrix2 instance if one was not provided.

##### Example:

    // Creates
    //   [2.0, 0.0]
    //   [0.0, 2.0]
    const m = Cesium.Matrix2.fromUniformScale(2.0);

#### static Cesium.Matrix2.getColumn(matrix, index, result) → Cartesian2
engine/Source/Core/Matrix2.js 385

Retrieves a copy of the matrix column at the provided index as a Cartesian2 instance.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`index` | number | The zero-based index of the column to retrieve.
`result` | Cartesian2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Throws:

- DeveloperError : index must be 0 or 1.

#### static Cesium.Matrix2.getElementIndex(row, column) → number
engine/Source/Core/Matrix2.js 363

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 or 1.
- DeveloperError : column must be 0 or 1.

##### Example:

    const myMatrix = new Cesium.Matrix2();
    const column1Row0Index = Cesium.Matrix2.getElementIndex(1, 0);
    const column1Row0 = myMatrix[column1Row0Index]
    myMatrix[column1Row0Index] = 10.0;

#### static Cesium.Matrix2.getMaximumScale(matrix) → number
engine/Source/Core/Matrix2.js 603

Computes the maximum scale assuming the matrix is an affine transformation. The maximum scale is the maximum length of the column vectors.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.

##### Returns:

The maximum scale.

#### static Cesium.Matrix2.getRotation(matrix, result) → Matrix2
engine/Source/Core/Matrix2.js 649

Extracts the rotation matrix assuming the matrix is an affine transformation.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### See:

- Matrix2.setRotation
- Matrix2.fromRotation

#### static Cesium.Matrix2.getRow(matrix, index, result) → Cartesian2
engine/Source/Core/Matrix2.js 443

Retrieves a copy of the matrix row at the provided index as a Cartesian2 instance.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`index` | number | The zero-based index of the row to retrieve.
`result` | Cartesian2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Throws:

- DeveloperError : index must be 0 or 1.

#### static Cesium.Matrix2.getScale(matrix, result) → Cartesian2
engine/Source/Core/Matrix2.js 579

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

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.
`result` | Cartesian2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### See:

- Matrix2.multiplyByScale
- Matrix2.multiplyByUniformScale
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.setScale
- Matrix2.setUniformScale

#### static Cesium.Matrix2.multiply(left, right, result) → Matrix2
engine/Source/Core/Matrix2.js 673

Computes the product of two matrices.

Name | Type | Description
--- | --- | ---
`left` | Matrix2 | The first matrix.
`right` | Matrix2 | The second matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.multiplyByScalar(matrix, scalar, result) → Matrix2
engine/Source/Core/Matrix2.js 767

Computes the product of a matrix and a scalar.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.
`scalar` | number | The number to multiply by.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.multiplyByScale(matrix, scale, result) → Matrix2
engine/Source/Core/Matrix2.js 801

Computes the product of a matrix times a (non-uniform) scale, as if the scale were a scale matrix.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix on the left-hand side.
`scale` | Cartesian2 | The non-uniform scale on the right-hand side.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Example:

    // Instead of Cesium.Matrix2.multiply(m, Cesium.Matrix2.fromScale(scale), m);
    Cesium.Matrix2.multiplyByScale(m, scale, m);

##### See:

- Matrix2.multiplyByUniformScale
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.setScale
- Matrix2.setUniformScale
- Matrix2.getScale

#### static Cesium.Matrix2.multiplyByUniformScale(matrix, scale, result) → Matrix2
engine/Source/Core/Matrix2.js 835

Computes the product of a matrix times a uniform scale, as if the scale were a scale matrix.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix on the left-hand side.
`scale` | number | The uniform scale on the right-hand side.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Example:

    // Instead of Cesium.Matrix2.multiply(m, Cesium.Matrix2.fromUniformScale(scale), m);
    Cesium.Matrix2.multiplyByUniformScale(m, scale, m);

##### See:

- Matrix2.multiplyByScale
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.setScale
- Matrix2.setUniformScale
- Matrix2.getScale

#### static Cesium.Matrix2.multiplyByVector(matrix, cartesian, result) → Cartesian2
engine/Source/Core/Matrix2.js 744

Computes the product of a matrix and a column vector.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.
`cartesian` | Cartesian2 | The column.
`result` | Cartesian2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.negate(matrix, result) → Matrix2
engine/Source/Core/Matrix2.js 857

Creates a negated copy of the provided matrix.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to negate.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.pack(value, array, startingIndex) → Array.<number>
engine/Source/Core/Matrix2.js 49

Stores the provided instance into the provided array.

Name | Type | Default | Description
--- | --- | --- | ---
`value` | Matrix2 |  | 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

#### static Cesium.Matrix2.packArray(array, result) → Array.<number>
engine/Source/Core/Matrix2.js 99

Flattens an array of Matrix2s into an array of components. The components are stored in column-major order.

Name | Type | Description
--- | --- | ---
`array` | Array.<Matrix2> | The array of matrices to pack.
`result` | Array.<number> | optional The array onto which to store the result. If this is a typed array, it must have array.length * 4 components, else a `DeveloperError` will be thrown. If it is a regular array, it will be resized to have (array.length * 4) elements.

##### Returns:

The packed array.

#### static Cesium.Matrix2.setColumn(matrix, index, cartesian, result) → Matrix2
engine/Source/Core/Matrix2.js 415

Computes a new matrix that replaces the specified column in the provided matrix with the provided Cartesian2 instance.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`index` | number | The zero-based index of the column to set.
`cartesian` | Cartesian2 | The Cartesian whose values will be assigned to the specified column.
`result` | Cartesian2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Throws:

- DeveloperError : index must be 0 or 1.

#### static Cesium.Matrix2.setRotation(matrix, rotation, result) → Matrix2
engine/Source/Core/Matrix2.js 621

Sets the rotation assuming the matrix is an affine transformation.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix.
`rotation` | Matrix2 | The rotation matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### See:

- Matrix2.fromRotation
- Matrix2.getRotation

#### static Cesium.Matrix2.setRow(matrix, index, cartesian, result) → Matrix2
engine/Source/Core/Matrix2.js 472

Computes a new matrix that replaces the specified row in the provided matrix with the provided Cartesian2 instance.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`index` | number | The zero-based index of the row to set.
`cartesian` | Cartesian2 | The Cartesian whose values will be assigned to the specified row.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### Throws:

- DeveloperError : index must be 0 or 1.

#### static Cesium.Matrix2.setScale(matrix, scale, result) → Matrix2
engine/Source/Core/Matrix2.js 507

Computes a new matrix that replaces the scale with the provided scale. This assumes the matrix is an affine transformation.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`scale` | Cartesian2 | The scale that replaces the scale of the provided matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### See:

- Matrix2.setUniformScale
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.multiplyByScale
- Matrix2.multiplyByUniformScale
- Matrix2.getScale

#### static Cesium.Matrix2.setUniformScale(matrix, scale, result) → Matrix2
engine/Source/Core/Matrix2.js 544

Computes a new matrix that replaces the scale with the provided uniform scale. This assumes the matrix is an affine transformation.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to use.
`scale` | number | The uniform scale that replaces the scale of the provided matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

##### See:

- Matrix2.setScale
- Matrix2.fromScale
- Matrix2.fromUniformScale
- Matrix2.multiplyByScale
- Matrix2.multiplyByUniformScale
- Matrix2.getScale

#### static Cesium.Matrix2.subtract(left, right, result) → Matrix2
engine/Source/Core/Matrix2.js 722

Computes the difference of two matrices.

Name | Type | Description
--- | --- | ---
`left` | Matrix2 | The first matrix.
`right` | Matrix2 | The second matrix.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.toArray(matrix, result) → Array.<number>
engine/Source/Core/Matrix2.js 332

Creates an Array from the provided Matrix2 instance. The array will be in column-major order.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | 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.

#### static Cesium.Matrix2.transpose(matrix, result) → Matrix2
engine/Source/Core/Matrix2.js 877

Computes the transpose of the provided matrix.

Name | Type | Description
--- | --- | ---
`matrix` | Matrix2 | The matrix to transpose.
`result` | Matrix2 | The object onto which to store the result.

##### Returns:

The modified result parameter.

#### static Cesium.Matrix2.unpack(array, startingIndex, result) → Matrix2
engine/Source/Core/Matrix2.js 73

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` | Matrix2 |  | optional The object into which to store the result.

##### Returns:

The modified result parameter or a new Matrix2 instance if one was not provided.

#### static Cesium.Matrix2.unpackArray(array, result) → Array.<Matrix2>
engine/Source/Core/Matrix2.js 131

Unpacks an array of column-major matrix components into an array of Matrix2s.

Name | Type | Description
--- | --- | ---
`array` | Array.<number> | The array of components to unpack.
`result` | Array.<Matrix2> | optional The array onto which to store the result.

##### Returns:

The unpacked array.

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