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. |
Members
Gets the number of items in the collection.
The index into Matrix2 for column 0, row 0.
Example:
var matrix = new Cesium.Matrix2();
matrix[Cesium.Matrix2.COLUMN0ROW0] = 5.0; // set column 0, row 0 to 5.0
The index into Matrix2 for column 0, row 1.
Example:
var matrix = new Cesium.Matrix2();
matrix[Cesium.Matrix2.COLUMN0ROW1] = 5.0; // set column 0, row 1 to 5.0
The index into Matrix2 for column 1, row 0.
Example:
var matrix = new Cesium.Matrix2();
matrix[Cesium.Matrix2.COLUMN1ROW0] = 5.0; // set column 1, row 0 to 5.0
The index into Matrix2 for column 1, row 1.
Example:
var matrix = new Cesium.Matrix2();
matrix[Cesium.Matrix2.COLUMN1ROW1] = 5.0; // set column 1, row 1 to 5.0
staticconstantCesium.Matrix2.IDENTITY : Matrix2
An immutable Matrix2 instance initialized to the identity matrix.
The number of elements used to pack the object into an array.
staticconstantCesium.Matrix2.ZERO : Matrix2
An immutable Matrix2 instance initialized to the zero matrix.
Methods
clone(result) → Matrix2
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.
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.
Compares this matrix to the provided matrix componentwise and returns
true
if they are within the provided epsilon,
false
otherwise.
Name | Type | Description |
---|---|---|
right |
Matrix2 | 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.
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)'.
staticCesium.Matrix2.abs(matrix, result) → Matrix2
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.
staticCesium.Matrix2.add(left, right, result) → Matrix2
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.
staticCesium.Matrix2.clone(matrix, result) → Matrix2
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)
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.
Compares the provided matrices componentwise and returns
true
if they are within the provided epsilon,
false
otherwise.
Name | Type | Description |
---|---|---|
left |
Matrix2 | optional The first matrix. |
right |
Matrix2 | 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.
staticCesium.Matrix2.fromArray(array, startingIndex, result) → Matrix2
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]
var v = [1.0, 1.0, 2.0, 2.0];
var m = Cesium.Matrix2.fromArray(v);
// Create same Matrix2 with using an offset into an array
var v2 = [0.0, 0.0, 1.0, 1.0, 2.0, 2.0];
var m2 = Cesium.Matrix2.fromArray(v2, 2);
staticCesium.Matrix2.fromColumnMajorArray(values, result) → Matrix2
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.
staticCesium.Matrix2.fromRotation(angle, result) → Matrix2
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.
var p = new Cesium.Cartesian2(5, 6);
var m = Cesium.Matrix2.fromRotation(Cesium.Math.toRadians(45.0));
var rotated = Cesium.Matrix2.multiplyByVector(m, p, new Cesium.Cartesian2());
staticCesium.Matrix2.fromRowMajorArray(values, result) → Matrix2
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.
staticCesium.Matrix2.fromScale(scale, result) → Matrix2
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]
var m = Cesium.Matrix2.fromScale(new Cesium.Cartesian2(7.0, 8.0));
staticCesium.Matrix2.fromUniformScale(scale, result) → Matrix2
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]
var m = Cesium.Matrix2.fromUniformScale(2.0);
staticCesium.Matrix2.getColumn(matrix, index, result) → Cartesian2
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.
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:
var myMatrix = new Cesium.Matrix2();
var column1Row0Index = Cesium.Matrix2.getElementIndex(1, 0);
var column1Row0 = myMatrix[column1Row0Index]
myMatrix[column1Row0Index] = 10.0;
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.
staticCesium.Matrix2.getRow(matrix, index, result) → Cartesian2
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.
staticCesium.Matrix2.getScale(matrix, result) → Cartesian2
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.
staticCesium.Matrix2.multiply(left, right, result) → Matrix2
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.
staticCesium.Matrix2.multiplyByScalar(matrix, scalar, result) → Matrix2
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.
staticCesium.Matrix2.multiplyByScale(matrix, scale, result) → Matrix2
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.
- Matrix2.fromScale
- Matrix2.multiplyByUniformScale
Example:
// Instead of Cesium.Matrix2.multiply(m, Cesium.Matrix2.fromScale(scale), m);
Cesium.Matrix2.multiplyByScale(m, scale, m);
See:
staticCesium.Matrix2.multiplyByVector(matrix, cartesian, result) → Cartesian2
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.
staticCesium.Matrix2.negate(matrix, result) → Matrix2
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.
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
staticCesium.Matrix2.setColumn(matrix, index, cartesian, result) → Matrix2
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.
staticCesium.Matrix2.setRow(matrix, index, cartesian, result) → Matrix2
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.
staticCesium.Matrix2.subtract(left, right, result) → Matrix2
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.
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.
staticCesium.Matrix2.transpose(matrix, result) → Matrix2
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.
staticCesium.Matrix2.unpack(array, startingIndex, result) → Matrix2
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.