C# Class SolidworksAddinFramework.MathUtilityExtensions

Transformation matrix data: |a b c.n | |d e f.o | |g h i.p | |j k l.m | The SOLIDWORKS transformation matrix is stored as a homogeneous matrix of 16 elements, ordered as shown.The first 9 elements(a to i) are elements of a 3x3 rotational sub-matrix, the next 3 elements(j, k, l) define a translation vector, and the next 1 element(m) is a scaling factor.The last 3 elements(n, o, p) are unused in this context. The 3x3 rotational sub-matrix represents 3 axis sets: row 1 for x-axis components of rotation row 2 for y-axis components of rotation row 3 for z-axis components of rotation The 3 axes are constrained to be orthogonal and unified so that they produce a pure rotational transformation.Reflections can also be added to these axes by setting the components to negative.The rotation sub-matrix coupled with the lower-left translation vector and the lower-right corner scaling factor creates an affine transformation, which is a transformation that preserves lines and parallelism; i.e., maps parallel lines to parallel lines. If the 3 axis sets of the 3x3 rotational sub-matrix are not orthogonal or unified, then they are automatically corrected according to the following rules: If any axis is 0, or any two axes are parallel, or all axes are coplanar, then an identity matrix replaces the rotational sub-matrix. All axes are corrected to be of unit length. The axes are built to be orthogonal to each other in the prioritized order of Z, X, Y (X is orthogonal to Z, Y is orthogonal to Z and X).