Returns \(I(\)p2 is in \(N_{CS}(p1,t=1))\) for points p1 and p2,
that is, returns 1 if p2 is in \(N_{CS}(p1,t=1)\),
returns 0 otherwise, where \(N_{CS}(x,t=1)\) is the CS proximity region for point \(x\) with expansion parameter \(t=1\).
CS proximity region is defined with respect to the standard equilateral triangle
\(T_e=T(A,B,C)=T((0,0),(1,0),(1/2,\sqrt{3}/2))\) and edge regions are based on the center of mass \(CM=(1/2,\sqrt{3}/6)\).
Here p1 must lie in the first one-sixth of \(T_e\), which is the triangle with vertices \(T(A,D_3,CM)=T((0,0),(1/2,0),CM)\).
If p1 and p2 are distinct and p1 is outside of \(T(A,D_3,CM)\) or p2 is outside \(T_e\), it returns 0,
but if they are identical, then it returns 1 regardless of their locations (i.e., it allows loops).
IarcCS.Te.onesixth(p1, p2)\(I(\)p2 is in \(N_{CS}(p1,t=1))\) for p1 in the first one-sixth of \(T_e\),
\(T(A,D_3,CM)\), that is, returns 1 if p2 is in \(N_{CS}(p1,t=1)\), returns 0 otherwise
A 2D point whose CS proximity region is constructed.
A 2D point. The function determines whether p2 is inside the CS proximity region of
p1 or not.
Elvan Ceyhan
IarcCSstd.tri