GIS points in a single planar polygon calculator

Calculate point classification and selected membership with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use point classification and selected membership to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Point coordinates [x,y]
[[1,1],[5,5],[0,2]]
Polygon exterior ring
[[0,0],[4,0],[4,4],[0,4]]
Boundary policy: 0 exclude; 1 include
1
Point classification and selected membership
[[1,1,"Inside",1],[5,5,"Outside",0],[0,2,"Boundary",1]]

Try another scenario

Point coordinates [x,y]
[[1,1],[5,5],[0,2]]
Polygon exterior ring
[[0,0],[4,0],[4,4],[0,4]]
Boundary policy: 0 exclude; 1 include
0
Point classification and selected membership
[[1,1,"Inside",1],[5,5,"Outside",0],[0,2,"Boundary",0]]
Calculation method

Calculation method

Point classification and selected membership

Return inside/outside/boundary plus selected boundary-aware inclusion.

Symbols and units
a
Point coordinates [x,y]
b
Polygon exterior ring
c
Boundary policy: 0 exclude; 1 include

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Points, polygons, boundary policy. Returns Containment assignments and boundary cases. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Boundary policy: 0 exclude; 1 include: minimum 0, maximum 1.
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