V# comprises over 800 methods in over 15000 lines of code. The most important are:

• 2d and 3d intersections
• Perpendiculars, tangents
• Distances
• Parallel projections
• Point reflection, reflection across a line, reflection through a plane
• Coordinate transformation, scaling, moving, arbitrary center rotation
• Intersection, containment, collinearity, coplanarity, overlap and other tests
• Triangle: barycentric and trilinear coordinates
• Triangle: slice by plane
• Triangle: many special points, circles and lines (e.g. in-, ex- and circumcircles)
• Plane: analytic, coordinate, normal coordinate and parametric form

• 2d and 3d multiple point removal
• Least square planes
• High performance rotation, moving, coordinate transformation
• Random permutation
• Lexicographical sort
• ASCII file IO

• Arbitrary, fixed and moving axes rotation matrices
• Cross product matrix, identity matrix
• Determinant, inverse, transpose, eigenvectors and eigenvalues
• Orthonormalization and orthogonalization
• Trace, norm
• Tests for symmetry, orthogonality, rotation and positive definite
• Linear system solver

• Determinant
• Linear system solver

• Dot, cross and tensor product
• Projection on plane/vector
• Normalization
• Rotation
• Coordinate transformation
• Angle between two vectors
• Bisecting vector of two vectors
• Parallelity and orthogonality test
• Test for linear independency

• AC1009 format dxf export of all objects
• Additional text output
• All entities on user-definable layers
• Linetype, point display mode definition

• Golden section line search
• Random generator
• Kernel time gauge
• Coordinate transformation by four point in two systems (align)

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