Mat4

type alias Mat4 =

{ m11 : Float

, m12 : Float

, m13 : Float

, m14 : Float

, m21 : Float

, m22 : Float

, m23 : Float

, m24 : Float

, m31 : Float

, m32 : Float

, m33 : Float

, m34 : Float

, m41 : Float

, m42 : Float

, m43 : Float

, m44 : Float

}

Create

identity : Mat4

fromRows : Vec4 -> Vec4 -> Vec4 -> Vec4 -> Mat4

Create a matrix out of vectors representing its rows.

Operations

add : Mat4 -> Mat4 -> Mat4

mul : Mat4 -> Mat4 -> Mat4

invert : Mat4 -> Maybe Mat4

transpose : Mat4 -> Mat4

3D Transformations

rotate : Float -> Vec3 -> Mat4

Creates a transformation matrix for rotation in radians about the 3-element vector axis.

scale : Vec3 -> Mat4

translate : Vec3 -> Mat4

Projections

lookAt :

{ eye : Vec3

, centerOfAttention : Vec3

, up : Vec3

}

-> Maybe Mat4

orthographic :

{ left : Float

, right : Float

, bottom : Float

, top : Float

, zNear : Float

, zFar : Float

}

-> Mat4

perspective :

{ fovy : Float

, aspect : Float

, zNear : Float

, zFar : Float

}

-> Mat4

Apply matrices

transformPoint : Mat4 -> Vec3 -> Vec3

Transforms a point, applying scaling, rotation, and translation.

transformVector : Mat4 -> Vec3 -> Vec3

Transforms a vector, applying scaling and rotation, but not translation.

transform : Mat4 -> Vec4 -> Vec4

Transforms a general 4D vector.

jjant/linear-algebra/1.0.0