A mat2d contains six elements defined as:

[a, b, c, d, tx, ty]This is a short form for the 3x3 matrix:

[a, b, 0, c, d, 0, tx, ty, 1]The last column is ignored so the array is shorter and operations are faster.

### Methods

#### (static) add(out, a, b) → {mat2d}

Adds two mat2d's

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the first operand |

`b` |
ReadonlyMat2d | the second operand |

##### Returns:

out

- Type
- mat2d

#### (static) clone(a) → {mat2d}

Creates a new mat2d initialized with values from an existing matrix

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | matrix to clone |

##### Returns:

a new 2x3 matrix

- Type
- mat2d

#### (static) copy(out, a) → {mat2d}

Copy the values from one mat2d to another

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the source matrix |

##### Returns:

out

- Type
- mat2d

#### (static) create() → {mat2d}

Creates a new identity mat2d

##### Returns:

a new 2x3 matrix

- Type
- mat2d

#### (static) determinant(a) → {Number}

Calculates the determinant of a mat2d

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | the source matrix |

##### Returns:

determinant of a

- Type
- Number

#### (static) equals(a, b) → {Boolean}

Returns whether or not the matrices have approximately the same elements in the same position.

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | The first matrix. |

`b` |
ReadonlyMat2d | The second matrix. |

##### Returns:

True if the matrices are equal, false otherwise.

- Type
- Boolean

#### (static) exactEquals(a, b) → {Boolean}

Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | The first matrix. |

`b` |
ReadonlyMat2d | The second matrix. |

##### Returns:

True if the matrices are equal, false otherwise.

- Type
- Boolean

#### (static) frob(a) → {Number}

Returns Frobenius norm of a mat2d

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | the matrix to calculate Frobenius norm of |

##### Returns:

Frobenius norm

- Type
- Number

#### (static) fromRotation(out, rad) → {mat2d}

Creates a matrix from a given angle
This is equivalent to (but much faster than):
mat2d.identity(dest);
mat2d.rotate(dest, dest, rad);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | mat2d receiving operation result |

`rad` |
Number | the angle to rotate the matrix by |

##### Returns:

out

- Type
- mat2d

#### (static) fromScaling(out, v) → {mat2d}

Creates a matrix from a vector scaling
This is equivalent to (but much faster than):
mat2d.identity(dest);
mat2d.scale(dest, dest, vec);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | mat2d receiving operation result |

`v` |
ReadonlyVec2 | Scaling vector |

##### Returns:

out

- Type
- mat2d

#### (static) fromTranslation(out, v) → {mat2d}

Creates a matrix from a vector translation
This is equivalent to (but much faster than):
mat2d.identity(dest);
mat2d.translate(dest, dest, vec);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | mat2d receiving operation result |

`v` |
ReadonlyVec2 | Translation vector |

##### Returns:

out

- Type
- mat2d

#### (static) fromValues(a, b, c, d, tx, ty) → {mat2d}

Create a new mat2d with the given values

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
Number | Component A (index 0) |

`b` |
Number | Component B (index 1) |

`c` |
Number | Component C (index 2) |

`d` |
Number | Component D (index 3) |

`tx` |
Number | Component TX (index 4) |

`ty` |
Number | Component TY (index 5) |

##### Returns:

A new mat2d

- Type
- mat2d

#### (static) identity(out) → {mat2d}

Set a mat2d to the identity matrix

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

##### Returns:

out

- Type
- mat2d

#### (static) invert(out, a) → {mat2d}

Inverts a mat2d

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the source matrix |

##### Returns:

out

- Type
- mat2d

#### (static) mul()

Alias for mat2d.multiply

#### (static) multiply(out, a, b) → {mat2d}

Multiplies two mat2d's

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the first operand |

`b` |
ReadonlyMat2d | the second operand |

##### Returns:

out

- Type
- mat2d

#### (static) multiplyScalar(out, a, b) → {mat2d}

Multiply each element of the matrix by a scalar.

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the matrix to scale |

`b` |
Number | amount to scale the matrix's elements by |

##### Returns:

out

- Type
- mat2d

#### (static) multiplyScalarAndAdd(out, a, b, scale) → {mat2d}

Adds two mat2d's after multiplying each element of the second operand by a scalar value.

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving vector |

`a` |
ReadonlyMat2d | the first operand |

`b` |
ReadonlyMat2d | the second operand |

`scale` |
Number | the amount to scale b's elements by before adding |

##### Returns:

out

- Type
- mat2d

#### (static) rotate(out, a, rad) → {mat2d}

Rotates a mat2d by the given angle

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the matrix to rotate |

`rad` |
Number | the angle to rotate the matrix by |

##### Returns:

out

- Type
- mat2d

#### (static) scale(out, a, v) → {mat2d}

Scales the mat2d by the dimensions in the given vec2

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the matrix to translate |

`v` |
ReadonlyVec2 | the vec2 to scale the matrix by |

##### Returns:

out

- Type
- mat2d

#### (static) set(out, a, b, c, d, tx, ty) → {mat2d}

Set the components of a mat2d to the given values

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
Number | Component A (index 0) |

`b` |
Number | Component B (index 1) |

`c` |
Number | Component C (index 2) |

`d` |
Number | Component D (index 3) |

`tx` |
Number | Component TX (index 4) |

`ty` |
Number | Component TY (index 5) |

##### Returns:

out

- Type
- mat2d

#### (static) str(a) → {String}

Returns a string representation of a mat2d

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
ReadonlyMat2d | matrix to represent as a string |

##### Returns:

string representation of the matrix

- Type
- String

#### (static) sub()

Alias for mat2d.subtract

#### (static) subtract(out, a, b) → {mat2d}

Subtracts matrix b from matrix a

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the first operand |

`b` |
ReadonlyMat2d | the second operand |

##### Returns:

out

- Type
- mat2d

#### (static) translate(out, a, v) → {mat2d}

Translates the mat2d by the dimensions in the given vec2

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat2d | the receiving matrix |

`a` |
ReadonlyMat2d | the matrix to translate |

`v` |
ReadonlyVec2 | the vec2 to translate the matrix by |

##### Returns:

out

- Type
- mat2d