Class mat4

4x4 matrix used for 3D transformations including rotation, scale, translation, and projection.

Constructors

constructor

new mat4(): mat4
Constructs a new identity mat4.

Returns mat4

Properties

column0

column0: vec4

First column of the matrix as a vec4.

column1

column1: vec4

Second column of the matrix as a vec4.

column2

column2: vec4

Third column of the matrix as a vec4.

column3

column3: vec4

Fourth column of the matrix as a vec4.

description

description: string

Returns a string representation of the matrix.

Methods

add

add(mat: mat4): mat4
Adds another mat4 to this matrix and returns the result.
Parameters
- mat: mat4
Returns mat4

`Static`compMult

compMult(a: mat4, b: mat4): mat4
Performs component-wise multiplication of two mat4 matrices and returns the result.
Parameters
- a: mat4
- b: mat4
Returns mat4

`Static`compose

compose(translation: vec3, rotation: quat, scale: vec3): mat4
Constructs a mat4 from translation, rotation quaternion, and scale components.
Parameters
- translation: vec3
- rotation: quat
- scale: vec3
Returns mat4

determinant

determinant(): number
Returns the scalar determinant of this matrix.

Returns number

div

div(mat: mat4): mat4
Divides this matrix by another mat4 element-wise and returns the result.
Parameters
- mat: mat4
Returns mat4

equal

equal(mat: mat4): boolean
Returns true if this matrix equals the given mat4.
Parameters
- mat: mat4
Returns boolean

extractEulerAngles

extractEulerAngles(): vec3
Extracts and returns the Euler angles as a vec3 from this matrix.

Returns vec3

`Static`fromColumns

fromColumns(column0: vec4, column1: vec4, column2: vec4, column3: vec4): mat4
Creates a mat4 from four column vectors.
Parameters
- column0: vec4
- column1: vec4
- column2: vec4
- column3: vec4
Returns mat4

`Static`fromEulerAngles

fromEulerAngles(angles: vec3): mat4
Creates a mat4 rotation matrix from Euler angles in radians.
Parameters
- angles: vec3
Returns mat4

`Static`fromEulerX

fromEulerX(angle: number): mat4
Creates a mat4 rotation matrix for a rotation around the X axis.
Parameters
- angle: number
Returns mat4

`Static`fromEulerY

fromEulerY(angle: number): mat4
Creates a mat4 rotation matrix for a rotation around the Y axis.
Parameters
- angle: number
Returns mat4

`Static`fromEulerZ

fromEulerZ(angle: number): mat4
Creates a mat4 rotation matrix for a rotation around the Z axis.
Parameters
- angle: number
Returns mat4

`Static`fromRotation

fromRotation(rotation: quat): mat4
Creates a mat4 rotation matrix from a quaternion.
Parameters
- rotation: quat
Returns mat4

`Static`fromRows

fromRows(row0: vec4, row1: vec4, row2: vec4, row3: vec4): mat4
Creates a mat4 from four row vectors.
Parameters
- row0: vec4
- row1: vec4
- row2: vec4
- row3: vec4
Returns mat4

`Static`fromScale

fromScale(scale: vec3): mat4
Creates a mat4 scale matrix from a vec3.
Parameters
- scale: vec3
Returns mat4

`Static`fromTranslation

fromTranslation(translation: vec3): mat4
Creates a mat4 translation matrix from a vec3.
Parameters
- translation: vec3
Returns mat4

`Static`identity

identity(): mat4
Returns a mat4 identity matrix.

Returns mat4

inverse

inverse(): mat4
Returns the inverse of this matrix.

Returns mat4

`Static`lookAt

lookAt(eye: vec3, center: vec3, up: vec3): mat4
Creates a view matrix that orients toward a target from an eye position.
Parameters
- eye: vec3
- center: vec3
- up: vec3
Returns mat4

`Static`makeBasis

makeBasis(x: vec3, y: vec3, z: vec3): mat4
Constructs a mat4 from three basis vectors.
Parameters
- x: vec3
- y: vec3
- z: vec3
Returns mat4

mult

mult(mat: mat4): mat4
Multiplies this matrix by another mat4 and returns the result.
Parameters
- mat: mat4
Returns mat4

multiplyDirection

multiplyDirection(direction: vec3): vec3
Transforms a direction vector by this matrix, ignoring translation.
Parameters
- direction: vec3
Returns vec3

multiplyPoint

multiplyPoint(point: vec3): vec3
Transforms a point by this matrix, applying translation.
Parameters
- point: vec3
Returns vec3

multiplyScalar

multiplyScalar(scalar: number): mat4
Multiplies this matrix by a scalar value and returns the result.
Parameters
- scalar: number
Returns mat4

multiplyVector

multiplyVector(vector: vec4): vec4
Multiplies this matrix by a vec4 and returns the result.
Parameters
- vector: vec4
Returns vec4

`Static`orthographic

orthographic(
    left: number,
    right: number,
    bottom: number,
    top: number,
    near: number,
    far: number,
): mat4
Creates an orthographic projection matrix.
Parameters
- left: number
- right: number
- bottom: number
- top: number
- near: number
- far: number
Returns mat4

`Static`outerProduct

outerProduct(a: vec4, b: vec4): mat4
Computes the outer product of two vec4 vectors and returns the resulting mat4.
Parameters
- a: vec4
- b: vec4
Returns mat4

`Static`perspective

perspective(fov: number, aspect: number, near: number, far: number): mat4
Creates a perspective projection matrix.
Parameters
- fov: number
- aspect: number
- near: number
- far: number
Returns mat4

sub

sub(mat: mat4): mat4
Subtracts another mat4 from this matrix and returns the result.
Parameters
- mat: mat4
Returns mat4

toString

toString(): string
Returns a string representation of this matrix.

Returns string

transpose

transpose(): mat4
Returns the transpose of this matrix.

Returns mat4

`Static`zero

zero(): mat4
Returns a mat4 with all elements set to zero.

Returns mat4