Function geometry_predicates::predicates::orient2d
source · [−]Expand description
Adaptive exact 2D orientation test. Robust.
Return a positive value if the points pa
, pb
, and pc
occur
in counterclockwise order; a negative value if they occur
in clockwise order; and zero if they are collinear. The
result is also a rough approximation of twice the signed
area of the triangle defined by the three points.
The result returned is the determinant of a matrix.
This determinant is computed adaptively, in the sense that exact
arithmetic is used only to the degree it is needed to ensure that the
returned value has the correct sign. Hence, orient2d()
is usually quite
fast, but will run more slowly when the input points are collinear or
nearly so.