Surface and volume calculation example.
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@ -78,4 +78,62 @@ describe ('Model Utils', function () {
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});
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it ('Mesh Volume Calculation', function () {
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function GetTriangleArea (v0, v1, v2)
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{
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let a = OV.CoordDistance3D (v0, v1);
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let b = OV.CoordDistance3D (v1, v2);
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let c = OV.CoordDistance3D (v0, v2);
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let s = (a + b + c) / 2.0;
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let areaSquare = s * (s - a) * (s - b) * (s - c);
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if (areaSquare < 0.0) {
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return 0.0;
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}
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return Math.sqrt (areaSquare);
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}
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var model = new OV.Model ();
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var cube = new OV.Mesh ();
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cube.AddVertex (new OV.Coord3D (0.0, 0.0, 0.0));
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cube.AddVertex (new OV.Coord3D (1.0, 0.0, 0.0));
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cube.AddVertex (new OV.Coord3D (1.0, 1.0, 0.0));
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cube.AddVertex (new OV.Coord3D (0.0, 1.0, 0.0));
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cube.AddVertex (new OV.Coord3D (0.0, 0.0, 1.0));
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cube.AddVertex (new OV.Coord3D (1.0, 0.0, 1.0));
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cube.AddVertex (new OV.Coord3D (1.0, 1.0, 1.0));
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cube.AddVertex (new OV.Coord3D (0.0, 1.0, 1.0));
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cube.AddTriangle (new OV.Triangle (0, 1, 5));
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cube.AddTriangle (new OV.Triangle (0, 5, 4));
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cube.AddTriangle (new OV.Triangle (1, 2, 6));
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cube.AddTriangle (new OV.Triangle (1, 6, 5));
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cube.AddTriangle (new OV.Triangle (2, 3, 7));
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cube.AddTriangle (new OV.Triangle (2, 7, 6));
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cube.AddTriangle (new OV.Triangle (3, 0, 4));
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cube.AddTriangle (new OV.Triangle (3, 4, 7));
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cube.AddTriangle (new OV.Triangle (0, 3, 2));
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cube.AddTriangle (new OV.Triangle (0, 2, 1));
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cube.AddTriangle (new OV.Triangle (4, 5, 6));
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cube.AddTriangle (new OV.Triangle (4, 6, 7));
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model.AddMesh (cube);
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OV.FinalizeModel (model, function () {
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return new OV.Material ();
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});
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let surface = 0.0;
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let volume = 0.0;
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for (let i = 0; i < model.MeshCount (); i++) {
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let mesh = model.GetMesh (i);
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for (j = 0; j < mesh.TriangleCount (); j++) {
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let triangle = mesh.GetTriangle (j);
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let v0 = mesh.GetVertex (triangle.v0);
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let v1 = mesh.GetVertex (triangle.v1);
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let v2 = mesh.GetVertex (triangle.v2);
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surface += GetTriangleArea (v0, v1, v2);
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let signedVolume = OV.DotVector3D (v0, OV.CrossVector3D (v1, v2)) / 6.0;
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volume += signedVolume;
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}
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}
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assert (OV.IsEqual (volume, 1.0));
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assert (OV.IsEqual (surface, 6.0));
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});
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});
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});
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