smat4d.md 3.6 KB
id: smat4d title: SMat4D
sidebar_label: SMat4D
A standard 4x4 transformation matrix.
Constructors
Method New(a:Double, b:Double, c:Double, d:Double, e:Double, f:Double, g:Double, h:Double, i:Double, j:Double, k:Double, l:Double, m:Double, n:Double, o:Double, p:Double)
Creates a new SMat4D from the supplied arguments.
Operators
Method Operator+:SMat4D(z:SMat4D Var)
Adds z to the matrix, returning a new matrix.
Method Operator-:SMat4D(z:SMat4D Var)
Subtracts z from the matrix, returning a new matrix.
Method Operator*:SMat4D(z:SMat4D 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 4x4 matrix b to the vector, returning a new vector.
Method Apply:SVec4D(v:SVec4D)
Applies the 4x4 matrix b to the vector, returning a new vector.
Method Adjoint:SMat4D()
Returns the transposition of the cofactor matrix.
Method CompMul:SMat4D(z:SMat4D Var)
Multiplies the matrix by z by its components, or element-wise matrix multiplication, returning a new matrix.
Method Determinant:Double()
Returns the determinant of the matrix.
Method Invert:SMat4D()
The inverse of this matrix.
An inverted matrix is such that if multiplied by the original would result in identity matrix. If some matrix transforms vectors in a particular way, then the inverse matrix can transform them back.
Method Rotate:SMat4D(axis:SVec3D, angle:Double)
Creates a rotation matrix, rotated angle degrees around the point axis.
Method Scale:SMat4D(s:SVec3D)
Scales the matrix, return the new scaled matrix.
Method Transpose:SMat4D()
Returns the transpose of this matrix.
The transposed matrix is the one that has the columns exchanged with its rows.
Method Translate:SMat4D(s:SVec3D)
Translates the matrix to s.
Method ToString:String() Override
Returns a String representation of the matrix.
Functions
Function Identity:SMat4D()
Returns the identity matrix.
Function Frustum:SMat4D(l:Double, r:Double, b:Double, t:Double, n:Double, f:Double)
Returns a projection matrix with a viewing frustum defined by the plane coordinates passed in.
Function LookAt:SMat4D(eye:SVec3D, pos:SVec3D, upDir:SVec3D)
Computes a transformation matrix that corresponds to a camera viewing the eye from the pos.
The right-hand vector is perpendicular to the up vector.
Function Orthogonal:SMat4D(width:Double, height:Double, zNear:Double, zFar:Double)
Creates an orthogonal projection matrix.
The returned matrix, when used as a Camera's projection matrix, creates a view showing the area between width and height, with zNear and zFar as the near and far depth clipping planes.
Function Perspective:SMat4D(fov:Double, w:Double, h:Double, n:Double, f:Double)
Creates a perspective projection matrix.
Function Rotation:SMat4D(axis:SVec3D, angle:Double)
Returns a rotation matrix on the given axis and angle degrees.
Function Scaling:SMat4D(s:SVec3D)
Creates a scaling matrix.
Function Translation:SMat4D(s:SVec3D)
Creates a translation matrix.