Comments (1)
I believe the code works correctly. The GTL file DistLine3Triangle3.h has a comment on line 12
// The line is P + t * D, where D is not required to be unit length.
The following sample code shows that it does not matter that the segment direction is unnormalized.
Triangle3<double> triangle{};
triangle.v[0] = { 1.0, 0.0, 0.0 };
triangle.v[1] = { 0.0, 2.0, 0.0 };
triangle.v[2] = { 0.0, 0.0, 3.0 };
// The segment has endpoints {4,5,-1} and {6,7,1}. The non-unit-length
// direction vector is the difference {2,2,2}.
Line3<double> line{};
line.origin = { 4.0, 5.0, -1.0 };
line.direction = { 2.0, 2.0, 2.0 };
DCPQuery<double, Line3<double>, Triangle3<double>> query{};
auto result = query(line, triangle);
// result.distance = 3.7416573867739413
// result.sqrDistance = 14.0
// result.parameter = -1.0
// result.barycentric[0] = 0.0
// result.barycentric[1] = 1.0
// result.barycentric[2] = 0.0
// result.closest[0] = { 2.0, 3.0, -3.0 }
// result.closest[1] = { 0.0, 2.0, 0.0 }
Normalize(line.direction);
result = query(line, triangle);
// result.distance = 3.7416573867739413
// result.sqrDistance = 14.0
// result.parameter = -3.4641016151377539
// result.barycentric[0] = 0.0
// result.barycentric[1] = 1.0
// result.barycentric[2] = 0.0
// result.closest[0] = { 2.0, 3.0, -3.0 }
// result.closest[1] = { 0.0, 2.0, 0.0 }
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