Hi,
The intersects does not return the correct result for point in polygon with spherical equatorial.
These are two cases:
1. a polygon with pole (north/south) in it
assume polygon PL: POLYGON((0 80,-90 80, -180 80, 90 80, 0 80))
a point P: POINT(0 90)
boost::geometry::intersects(P, PL) should return TRUE, but return false in boost 1.54.
2. point in the opposite side of the polygon
assume polygon PL: POLYGON((30 0,30 30,90 30, 90 0, 30 0))
a point P: POINT(-120 21)
boost::geometry::intersects(P, PL) should return FALSE, but return true in boost 1.54.
The issue may be caused by the spherical_side_formula can not handle this two cases.
Attachment is the test case for these two issues.
Thanks!