Create a 4x4 Transformation Matrix. This Constructor takes arguments in row-major order, The matrix is represented in the following column-vector syntax form: M11 M21 M31 X41 M12 M22 M32 Y42 M13 M23 M33 Z43 M14 M24 M34 M44 Where X41, Y42 and Z43 refer to the translation part of the matrix.

Returns the first column vector. M11, M12 and M13

Returns the second column vector. M21, M22 and M23

Returns the third column vector. M31, M32 and M33

The determinant of the Matrix. The Determinant describes the signed volume that a unit cube will have after the matrix was applied.

Inverts the matrix. If the determinant is zero the Matrix cannot be inverted. An Exception is raised.

Checks if the Matrix is an affine transformation. That means it does not do any projection. The fields m.M14, m.M24 and m.M34 must be 0.0 and m.M44 must be 1.0 or very close to it. Using an approximate tolerance of 1e-6.

Checks if the Matrix is an identity matrix in the form of: 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 Using an approximate tolerance of 1e-6.

Returns if the Matrix is mirroring or reflection. It might also be rotating, translating or scaling, but not projecting. It must be affine and the determinate of the 3x3 part must be negative. Same as m.IsReflecting.

Returns true if the Matrix is only translating. It might not be rotating, scaling, reflecting, or projecting.

Returns if the Matrix is orthogonal. It might also be mirroring or scaling, but not shearing or projecting. It must be affine and the dot products of the three column vectors must be zero.

Checks if the Matrix is an affine transformation. That means it does not do any projection. The fields m.M14, m.M24 and m.M34 must be 0.0 and m.M44 must be 1.0 or very close to it. Using an approximate tolerance of 1e-6.

Returns if the Matrix is mirroring or reflection. It might also be rotating, translating or scaling, but not projecting. It must be affine and the determinate of the 3x3 part must be negative. Same as m.IsMirroring.

Returns if the Matrix is scaling. It might also be rotating, translating or reflecting, but not projecting. It must be affine and the 3 column vector must have a length other than one.

Returns true if the Matrix is translating. It might also be rotating, scaling and reflecting, but not projecting.

Returns the 16 elements column-major order: [| M11 M12 M13 M14 M21 M22 M23 M24 M31 M32 M33 M34 X41 Y42 Z43 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Returns the 16 elements in row-major order: [| M11 M21 M31 X41 M12 M22 M32 Y42 M13 M23 M33 Z43 M14 M24 M34 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Returns the translation or forth column vector. X41, Y42 and Z43

Multiplies (or applies) a Matrix to a 3D point (with an implicit 1 in the 4th dimension, so that it also works correctly for projections.)

Multiplies a Matrix with a 3D vector Since a 3D vector represents a direction or an offset in space, but not a location, the implicit the 4th dimension is 0.0 so that all translations are ignored. (Homogeneous Vector)

Multiplies (or applies) a Matrix to a 3D vector Since a 3D vector represents a direction or an offset in space, but not a location, the implicit the 4th dimension is 0.0 so that all translations are ignored. (Homogeneous Vector)

Multiplies matrixA with matrixB. The resulting transformation will first do matrixA and then matrixB.

Add a vector translation to an existing matrix.

Add a X, Y and Z translation to an existing matrix.

Creates a matrix from array of 16 elements in Column Major order: [| M11 M12 M13 M14 M21 M22 M23 M24 M31 M32 M33 M34 X41 Y42 Z43 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Create Matrix from Quaternion.

Creates a matrix from array of 16 elements in Row Major order: [| M11 M21 M31 X41 M12 M22 M32 Y42 M13 M23 M33 Z43 M14 M24 M34 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Creates a Matrix to mirror on a Plane.

Creates a perspective projection matrix from the given view volume dimensions.

Creates a Matrix to transform from one Plane or Coordinate System to another Plane.

Creates a rotation around an axis transformation matrix. axis — Rotation axis, a vector of any length but 0.0 . angleDegrees — Rotation angle in Degrees. Returns a positive rotation will be so clockwise looking in the direction of the axis vector.

Creates a rotation around an axis transformation matrix. axis — Rotation axis, as unit-vector. angleDegrees — Rotation angle in Degrees. Returns a positive rotation will be so clockwise looking in the direction of the axis vector.

Creates a rotation matrix around an axis at a given center point. axis — Rotation axis, a unit-vector. cen — The center point for the rotation. angleDegrees — Rotation angle in Degrees. Returns a positive rotation will be so clockwise looking in the direction of the axis vector.

Creates a rotation matrix around an axis at a given center point. axis — Rotation axis, a vector of any length but 0.0 cen — The center point for the rotation. angleDegrees — Rotation angle in Degrees. Returns a positive rotation will be so clockwise looking in the direction of the axis vector.

Creates a rotation transformation matrix around the X-axis by angle in Degrees (not Radians). angleDegrees — Rotation angle in Degrees. A positive rotation will be from Y towards Z-axis, so counter-clockwise looking onto Y-X Plane. The resulting matrix will be: 1 0 0 0 0 cos(θ) -sin(θ) 0 0 sin(θ) cos(θ) 0 0 0 0 1

Creates a rotation transformation matrix around the Y-axis by angle in Degrees (not Radians). angleDegrees — Rotation angle in Degrees. A positive rotation will be from Z towards X-axis, so counter-clockwise looking onto Z-X Plane. The resulting matrix will be: cos(θ) 0 sin(θ) 0 0 1 0 0 -sin(θ) 0 cos(θ) 0 0 0 0 1

Creates a rotation transformation matrix around the Z-axis by angle in Degrees (not Radians). angleDegrees — Rotation angle in Degrees. Returns a positive rotation will be from X toward Y-axis, so counter-clockwise looking onto X-Y plane. The resulting matrix will be: cos(θ) -sin(θ) 0 0 sin(θ) cos(θ) 0 0 0 0 1 0 0 0 0 1

Creates a scale transformation matrix: x - the amount to scale in the X-axis. y - the amount to scale in the Y-axis. z - the amount to scale in the Z-axis. The resulting matrix will be: x, 0, 0, 0, 0, y, 0, 0, 0, 0, z, 0, 0, 0, 0, 1

Creates a shear transformation matrix: xy - the amount to shear a X unit-vector a long Y-axis. xz - the amount to shear a X unit-vector a long Z-axis. yx - the amount to shear a Y unit-vector a long X-axis. yz - the amount to shear a Y unit-vector a long Z-axis. zx - the amount to shear a Z unit-vector a long X-axis. zy - the amount to shear a Z unit-vector a long Y-axis. The resulting matrix will be: 1, yx, zx, 0, xy, 1, zy, 0, xz, yz, 1, 0, 0, 0, 0, 1

Creates a Matrix to transform from World plane or Coordinate System to given Plane. Also called Change of Basis.

Creates a translation matrix: Vec - the vector by which to translate. The resulting matrix will be: 1 0 0 v.X 0 1 0 v.Y 0 0 1 v.Z 0 0 0 1

Creates a translation matrix: x - the amount to translate in the X-axis. y - the amount to translate in the Y-axis. z - the amount to translate in the Z-axis. The resulting matrix will be: 1 0 0 x 0 1 0 y 0 0 1 z 0 0 0 1

Creates a rotation from one vectors direction to another vectors direction. If the tips of the two vectors unitized are closer than 1e-12 the identity matrix is returned. If the tips of the two vectors are almost exactly opposite, deviating less than 1e-6 from line (unitized), there is no valid unique 180 degree rotation that can be found, so an exception is raised.

Creates a rotation from one vectors direction to another vectors direction. If the tips of the two vectors are closer than 1e-12 the identity matrix is returned. If the tips of the two vectors are almost exactly opposite, deviating less than 1e-6 from line, there is no valid unique 180 degree rotation that can be found, so an exception is raised.

If the determinant of the Matrix. The determinant describes the volume that a unit cube will have have the matrix was applied.

Checks if two matrices are equal within tolerance. By comparing the fields M11 to M44 each with the given tolerance. Use a tolerance of 0.0 to check for an exact match.

Returns the identity matrix: 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

Inverses the matrix. If the determinant is zero the Matrix cannot be inverted. An exception is raised.

Multiplies matrixA with matrixB. The resulting transformation will first do matrixA and then matrixB.

Returns the 16 elements column-major order: [| M11 M12 M13 M14 M21 M22 M23 M24 M31 M32 M33 M34 X41 Y42 Z43 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Returns the 16 elements in row-major order: [| M11 M21 M31 X41 M12 M22 M32 Y42 M13 M23 M33 Z43 M14 M24 M34 M44 |] Where X41, Y42 and Z43 refer to the translation part of the matrix.

Transposes the Matrix.