Module content.scripts.mat4🔗

 
global record Mat4Serialized  
record Mat4    metamethod __add: function(Mat4, Mat4): Mat4


end

  new: function(Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4): Mat4
  identity: function(): Mat4
  add: function(Mat4, Mat4): Mat4
  sub: function(Mat4, Mat4): Mat4
  mul: function(Mat4, Mat4): Mat4
  gemv: function(m : Mat4, v : Vec4Serialized.Vec4): Vec4Serialized.Vec4
  flipY: function(m : Mat4): Mat4
  transl: function(t : Vec3Serialized.Vec3): Mat4
  scale: function(t : Vec3Serialized.Vec3): Mat4
  rotZ: function(rotZ : number): Mat4
  rotY: function(rotY : number): Mat4
  rotX: function(rotX : number): Mat4
  rotZTransl: function(rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  rotZYXTransl: function(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotZYTransl: function(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotYCntTransl: function(rotY : number, cnt : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotZY: function(rot : Vec3Serialized.Vec3): Mat4
  scaleRotZTransl: function(scale : number, rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  scaleXYZRotZTransl: function(scale : Vec3Serialized.Vec3, rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  scaleRotZYXTransl: function(scale : Vec3Serialized.Vec3, rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  getTransl: function(m : Mat4): Vec3Serialized.Vec3
  print: function(v : Mat4): string
end

Category: globals🔗

Mat4Serialized🔗

 
global record Mat4Serialized  
record Mat4    metamethod __add: function(Mat4, Mat4): Mat4


end

  new: function(Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4): Mat4
  identity: function(): Mat4
  add: function(Mat4, Mat4): Mat4
  sub: function(Mat4, Mat4): Mat4
  mul: function(Mat4, Mat4): Mat4
  gemv: function(m : Mat4, v : Vec4Serialized.Vec4): Vec4Serialized.Vec4
  flipY: function(m : Mat4): Mat4
  transl: function(t : Vec3Serialized.Vec3): Mat4
  scale: function(t : Vec3Serialized.Vec3): Mat4
  rotZ: function(rotZ : number): Mat4
  rotY: function(rotY : number): Mat4
  rotX: function(rotX : number): Mat4
  rotZTransl: function(rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  rotZYXTransl: function(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotZYTransl: function(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotYCntTransl: function(rotY : number, cnt : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  rotZY: function(rot : Vec3Serialized.Vec3): Mat4
  scaleRotZTransl: function(scale : number, rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  scaleXYZRotZTransl: function(scale : Vec3Serialized.Vec3, rotZ : number, transl : Vec3Serialized.Vec3): Mat4
  scaleRotZYXTransl: function(scale : Vec3Serialized.Vec3, rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4
  getTransl: function(m : Mat4): Vec3Serialized.Vec3
  print: function(v : Mat4): string
end

Mat4Serialized.Mat4🔗

record Mat4Serialized.Mat4  metamethod __add: function(Mat4, Mat4): Mat4


end

Mat4Serialized.Mat4.$meta.__add🔗

metamethod Mat4Serialized.Mat4.$meta.__add(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.Mat4.$meta.__sub🔗

metamethod Mat4Serialized.Mat4.$meta.__sub(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.Mat4.$meta.__mul🔗

metamethod Mat4Serialized.Mat4.$meta.__mul(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.new🔗

function Mat4Serialized.new(Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4, Vec4Serialized.Vec4): Mat4
Parameters
  • Vec4Serialized.Vec4
  • Vec4Serialized.Vec4
  • Vec4Serialized.Vec4
  • Vec4Serialized.Vec4
Returns
  1. Mat4

Mat4Serialized.identity🔗

function Mat4Serialized.identity(): Mat4
Returns
  1. Mat4

Mat4Serialized.add🔗

function Mat4Serialized.add(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.sub🔗

function Mat4Serialized.sub(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.mul🔗

function Mat4Serialized.mul(Mat4, Mat4): Mat4
Parameters
  • Mat4
  • Mat4
Returns
  1. Mat4

Mat4Serialized.gemv🔗

function Mat4Serialized.gemv(m : Mat4, v : Vec4Serialized.Vec4): Vec4Serialized.Vec4

General matrix-vector multiplication.

Parameters
  • m :Mat4 — matrix
  • v :Vec4Serialized.Vec4 — vector
Returns
  1. Vec4Serialized.Vec4 — resulting vector

Mat4Serialized.flipY🔗

function Mat4Serialized.flipY(m : Mat4): Mat4

Multiply the y coordinate of each column with -1.

Parameters
  • m :Mat4 — matrix
Returns
  1. Mat4 — matrix with Y flipped

Mat4Serialized.transl🔗

function Mat4Serialized.transl(t : Vec3Serialized.Vec3): Mat4

Create translation matrix from a translation vector.

Parameters
  • t :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — translation matrix

Mat4Serialized.scale🔗

function Mat4Serialized.scale(t : Vec3Serialized.Vec3): Mat4

Create scale matrix.

Parameters
  • t :Vec3Serialized.Vec3 — scale vector
Returns
  1. Mat4 — scale matrix

Mat4Serialized.rotZ🔗

function Mat4Serialized.rotZ(rotZ : number): Mat4

Create rotation matrix for the rotation around Z axis.

Parameters
  • rotZ :number — rotation angle in radians
Returns
  1. Mat4 — rotation matrix

Mat4Serialized.rotY🔗

function Mat4Serialized.rotY(rotY : number): Mat4

Create rotation matrix for the rotation around Y axis.

Parameters
  • rotY :number — rotation angle in radians
Returns
  1. Mat4 — rotation matrix

Mat4Serialized.rotX🔗

function Mat4Serialized.rotX(rotX : number): Mat4

Create rotation matrix around X axis.

Parameters
  • rotX :number — rotation angle in radians
Returns
  1. Mat4 — rotation matrix

Mat4Serialized.rotZTransl🔗

function Mat4Serialized.rotZTransl(rotZ : number, transl : Vec3Serialized.Vec3): Mat4

Create matrix who has rotation around Z and translation

Parameters
  • rotZ :number — rotation angle
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.rotZYXTransl🔗

function Mat4Serialized.rotZYXTransl(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4

Create matrix for ZYX rotations and translation.

Parameters
  • rot :Vec3Serialized.Vec3 — rotation vector (x is rotZ, y is rotY, z is rotX) and performed in this order
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.rotZYTransl🔗

function Mat4Serialized.rotZYTransl(rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4

Create a matrix for ZY rotations and translation.

Parameters
  • rot :Vec3Serialized.Vec3 — rotation vector (x is rotZ, y is rotY, z is unused) and performed in this order
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.rotYCntTransl🔗

function Mat4Serialized.rotYCntTransl(rotY : number, cnt : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4

Create matrix for rotation around Y with a center specified and a translation.

Parameters
  • rotY :number — rotation angle
  • cnt :Vec3Serialized.Vec3 — center point
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.rotZY🔗

function Mat4Serialized.rotZY(rot : Vec3Serialized.Vec3): Mat4

Create a matrix for ZY rotations.

Parameters
  • rot :Vec3Serialized.Vec3 — rotation vector (x is rotZ, y is rotY, z is unused) and performed in this order
Returns
  1. Mat4 — rotation matrix

Mat4Serialized.scaleRotZTransl🔗

function Mat4Serialized.scaleRotZTransl(scale : number, rotZ : number, transl : Vec3Serialized.Vec3): Mat4

Create matrix for (homogenous) scaling, rotation around Z, and translation.

Parameters
  • scale :number — scale factor
  • rotZ :number — rotation angle
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.scaleXYZRotZTransl🔗

function Mat4Serialized.scaleXYZRotZTransl(scale : Vec3Serialized.Vec3, rotZ : number, transl : Vec3Serialized.Vec3): Mat4

Create matrix for (inhomogenous) scaling, rotation around Z, and translation.

Parameters
  • scale :Vec3Serialized.Vec3 — scale vector
  • rotZ :number — rotation angle
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.scaleRotZYXTransl🔗

function Mat4Serialized.scaleRotZYXTransl(scale : Vec3Serialized.Vec3, rot : Vec3Serialized.Vec3, transl : Vec3Serialized.Vec3): Mat4

Create matrix for (inhomogenous) scaling, ZYX rotations and translation.

Parameters
  • scale :Vec3Serialized.Vec3 — scale vector
  • rot :Vec3Serialized.Vec3 — rotation vector (x is rotZ, y is rotY, z is rotX) and performed in this order
  • transl :Vec3Serialized.Vec3 — translation vector
Returns
  1. Mat4 — combined matrix

Mat4Serialized.getTransl🔗

function Mat4Serialized.getTransl(m : Mat4): Vec3Serialized.Vec3

Extract translation vector from matrix.

Parameters
  • m :Mat4 — matrix
Returns
  1. Vec3Serialized.Vec3 — translation vector

Mat4Serialized.print🔗

function Mat4Serialized.print(v : Mat4): string

Convert matrix to a string representation.

Parameters
  • v :Mat4 — matrix
Returns
  1. string — string representation