smat3d.md 2.5 KB
id: smat3d title: SMat3D
sidebar_label: SMat3D
A 3x3 matrix.
Constructors
Method New(a:Double, b:Double, c:Double, d:Double, e:Double, f:Double, g:Double, h:Double, i:Double)
Creates a new SMat3D from the supplied arguments.
Operators
Method Operator+:SMat3D(z:SMat3D Var)
Adds z to the matrix, returning a new matrix.
Method Operator-:SMat3D(z:SMat3D Var)
Subtracts z from the matrix, returning a new matrix.
Method Operator*:SMat3D(z:SMat3D Var)
Multiplies the matrix by z, the dot product, returning a new matrix.
Methods
Method Apply:SVec2D(v:SVec2D)
Applies the matrix to the vector v, returning a new vector.
Method Apply:SVec3D(v:SVec3D)
Applies the matrix to the vector v, returning a new vector.
Method Apply:SVec4D(v:SVec4D)
Applies the matrix to the vector v, returning a new vector.
Method Adjoint:SMat3D()
Returns the transposition of the cofactor matrix.
Method CompMul:SMat3D(z:SMat3D Var)
Multiplies the matrix by z by its components, or element-wise matrix multiplication, return a new matrix.
Method Determinant:Double()
Returns the determinant of the matrix.
Method Invert:SMat3D()
Returns the inverse of the matrix.
Method Rotate:SMat3D(angle:Double)
Rotates the matrix on a 2D rotation in the XY plane by angle degrees, returning a new matrix.
Method RotateZ:SMat3D(angle:Double)
Rotates the matrix around the Z axis by angle degrees, returning a new matrix.
Method Scale:SMat3D(s:SVec2D)
Scales the matrix by s, returning a new matrix.
Method Translate:SMat3D(x:Double, y:Double, z:Double)
Returns a translation with the specified x, y, and z displacements.
Method Translate:SMat3D(t:SVec3D)
Returns a translation with displacement vector s.
Method Transpose:SMat3D()
Returns a transposition of the matrix.
Method ToString:String() Override
Returns a String representation of the matrix.
Functions
Function Identity:SMat3D()
Return the 3x3 identity matrix.
Function Rotation:SMat3D(angle:Double)
Returns a rotation matrix of angle degrees.
Function Scaling:SMat3D(s:SVec2D)
Returns a scaling matrix of s.