It is saved as a hash table which contains the generating rays and the basis of the lineality space of the cone as well as the defining half-spaces and hyperplanes. You might be interested in a result known as the Motzkin Transposition Theorem.It's not going to provide a specific answer for you, but it will give you an equivalent system of linear inequalities to test to the one you're after that might be easier for the specifics of your problem (or might not). Curves in Rd intersecting every hyperplane at most d+1 times.
#Check if hyperplan intersects orthant full
It need not be full dimensional or may contain a proper linear subspace. One of the main issues I am experiencing is sometimes no. These points are given by x1 (b1/kak2 2)a, x2 (b2/kak 2 2)a, and the distance is kx1 x2k2 b1 b2/kak2. A Cone represents a rational convex polyhedral cone. Initially, I tried a method to check if a ray intersects a hyperplane, and got it working in 7D Cartesian coordinates, but am running into (I think) numerical instability issues sometimes with 7D and more often in 8D (8D is what I need, also see discussion with author of 1). x1 and x2 where the hyperplane intersects the line through the origin and parallel to the normal vector a.
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