13.16.4  Checking if a point is in a polygon or circle: is_inside

The is_inside command determines whether or not a point is in a polygon or a circle.

• is_inside takes two arguments:
  • P, a point.
  • C, a polygon or a circle.
• is_inside(P,C) returns 1 if P is inside C (including the boundary) and returns 0 otherwise.

Examples.

• Input:
  is_inside(0,circle(-1,1))
  Output:

  1

• Input:
  is_inside(2,polygon([1,2-i,3+i]))
  Output:

  1

• Input:
  is_inside(1-i, triangle([1,2-i,3+i]))
  Output:

  0