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Class naming
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This library uses a simple classification scheme you'll immediately understand
once I've explained it:

Objects can be one-dimensional (think of a line, it has no area or volume, eg. you
can't put anything within it), two-dimensional (a rectangle for example) or
three-dimensional (like a box). In this library, the natural names of these
objects are used: Line, Rectangle, Box and so on.

Now the delicate part is that some of these objects can be located in a space of
higher order, meaning you could equip a two-dimensional triangle with
3D coordinates and put it in 3D space. It would still be flat, but could be situated
at any angle. This fact is encoded in the number behind each class: A Triangle2
is a triangle in 2D space (with X,Y coordinates) and a Triangle3 is the same
flat triangle, but in 3D space (with X,Y,Z coordinates).

That's it. Simple and logical.


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Strongpoints
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Nuclex.Math / Nuclex.Geometry

  A completely free .NET math library for computer games and scientific applications.

  What does it do?
  
    o This library is completely free will stay so. All parts of nuclex are provided
      under the CPL (not to mistake for the GPL!). You can use it wherever and in any
      manner you like, including commercial projects.

    o Code quality

      o The code is very well tested using unit tests and real-world projects. Should you
        still discover a bug, it will be fixed as fast as possible and a new unit test
        will guarantee that it never comes back!

      o We went out of our way to ensure numerical stability. That means we can make
        strong guarantees about the amount of rounding errors and inaccuracies that
        will result from the methods contained in the code

      o Of course, performance is of importance, too. Optimizations here are almost
        exclusively done by carefully crafting elegant algorithms instead of
        micro-optimizing processor instructions (which just isn't feasible in a bytecode
        compiled language like .NET)

    o Every single method is thoroughly documented. Instead of just dumping the code on
      our poor users, we explain every single option there is. We've set the goal to
      deliver code that could without modification go into a teaching book for
      programming classes.


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Feature List
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o Geometrical objects

  o Lines, Rays and Segments in 2D and in 3D space
  o Axis aligned rectangles, oriented rectangles, triangles and dscs in 2D space
  o Triangles, rectangles, discs and planes in 3D space
  o Axis aligned boxes, cylinders, oriented boxes, spheres and meshes in 3D space

o Tightest bounding box and bounding sphere calculation for any volume

o Line entry and exit determination

  o Entry and exit of Line/Ray/Segment through an AABB/cylinder/OBB/sphere
  o Intersection point of Line/Ray/Segment with a triangle or plane

o Closest point determination

  o Closest point to reference location in AABB/cylinder/OBB/sphere/mesh

o Intersection checks

  o Stationary intersection tests

    o Intersection checks between any of AABB/cylinder/OBB/sphere/mesh
    o Contact location determination for any of AABB/cylinder/OBB/sphere/mesh

  o Moving object intersection checks

    o Swept intersection test between two AABBs
    o Swept intersection test between two spheres

o Random point generation

  o Generate uniform random points on surface of AABB/cylinder/OBB/sphere/mesh
  o Generate uniform random points within AABB/cylinder/OBB/sphere/mesh

o Physical property determination

  o Total surface area of AABB/cylinder/OBB/sphere/mesh
  o Mass of AABB/cylinder/OBB/sphere/mesh
  o Center of gravity for AABB/cylinder/OBB/sphere/mesh

Cool Resource: http://www.kevlindev.com/geometry/2D/intersections/index.htm

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Exact Feature List
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Collisions

                      Static Check    Contact Location    Moving Check     Impact Location

  AABB to AABB              X                X                  X                X
  AABB to Cylinder
  AABB to Mesh
  AABB to OBB              [X]
  AABB to Sphere            X
  Cylinder to Cylinder
  Cylinder to Mesh
  Cylinder to OBB
  Cylinder to Sphere        X
  Mesh to Mesh
  Mesh to OBB
  Mesh to Sphere
  OBB to OBB               [X]
  OBB to Sphere             X
  Sphere to Sphere          X