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Computational geometry with Shapely - create geometries, boolean operations, measurements, predicates
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| name | shapely-compute |
| description | Computational geometry with Shapely - create geometries, boolean operations, measurements, predicates |
| triggers | ["geometry","polygon","intersection","area","contains","distance between points","buffer","convex hull","centroid","WKT"] |
| I want to... | Command | Example |
|---|---|---|
| Create geometry | create | create polygon --coords "0,0 1,0 1,1 0,1" |
| Intersection | op intersection | op intersection --g1 "POLYGON(...)" --g2 "POLYGON(...)" |
| Check contains | pred contains | pred contains --g1 "POLYGON(...)" --g2 "POINT(0.5 0.5)" |
| Calculate area | measure area | measure area --geom "POLYGON(...)" |
| Distance | distance | distance --g1 "POINT(0 0)" --g2 "POINT(3 4)" |
| Transform | transform translate | transform translate --geom "..." --params "1,2" |
| Validate | validate | validate --geom "POLYGON(...)" |
Create geometric objects from coordinates.
# Point
uv run python scripts/shapely_compute.py create point --coords "1,2"
# Line (2+ points)
uv run python scripts/shapely_compute.py create line --coords "0,0 1,1 2,0"
# Polygon (3+ points, auto-closes)
uv run python scripts/shapely_compute.py create polygon --coords "0,0 1,0 1,1 0,1"
# Polygon with hole
uv run python scripts/shapely_compute.py create polygon --coords "0,0 10,0 10,10 0,10" --holes "2,2 8,2 8,8 2,8"
# MultiPoint
uv run python scripts/shapely_compute.py create multipoint --coords "0,0 1,1 2,2"
# MultiLineString (pipe-separated lines)
uv run python scripts/shapely_compute.py create multilinestring --coords "0,0 1,1|2,2 3,3"
# MultiPolygon (pipe-separated polygons)
uv run python scripts/shapely_compute.py create multipolygon --coords "0,0 1,0 1,1 0,1|2,2 3,2 3,3 2,3"
Boolean geometry operations.
# Intersection of two polygons
uv run python scripts/shapely_compute.py op intersection \
--g1 "POLYGON((0 0,2 0,2 2,0 2,0 0))" \
--g2 "POLYGON((1 1,3 1,3 3,1 3,1 1))"
# Union
uv run python scripts/shapely_compute.py op union --g1 "POLYGON(...)" --g2 "POLYGON(...)"
# Difference (g1 - g2)
uv run python scripts/shapely_compute.py op difference --g1 "POLYGON(...)" --g2 "POLYGON(...)"
# Symmetric difference (XOR)
uv run python scripts/shapely_compute.py op symmetric_difference --g1 "..." --g2 "..."
# Buffer (expand/erode)
uv run python scripts/shapely_compute.py op buffer --g1 "POINT(0 0)" --g2 "1.5"
# Convex hull
uv run python scripts/shapely_compute.py op convex_hull --g1 "MULTIPOINT((0 0),(1 1),(0 2),(2 0))"
# Envelope (bounding box)
uv run python scripts/shapely_compute.py op envelope --g1 "POLYGON(...)"
# Simplify (reduce points)
uv run python scripts/shapely_compute.py op simplify --g1 "LINESTRING(...)" --g2 "0.5"
Spatial relationship tests (returns boolean).
# Does polygon contain point?
uv run python scripts/shapely_compute.py pred contains \
--g1 "POLYGON((0 0,2 0,2 2,0 2,0 0))" \
--g2 "POINT(1 1)"
# Do geometries intersect?
uv run python scripts/shapely_compute.py pred intersects --g1 "..." --g2 "..."
# Is g1 within g2?
uv run python scripts/shapely_compute.py pred within --g1 "POINT(1 1)" --g2 "POLYGON(...)"
# Do geometries touch (share boundary)?
uv run python scripts/shapely_compute.py pred touches --g1 "..." --g2 "..."
# Do geometries cross?
uv run python scripts/shapely_compute.py pred crosses --g1 "LINESTRING(...)" --g2 "LINESTRING(...)"
# Are geometries disjoint (no intersection)?
uv run python scripts/shapely_compute.py pred disjoint --g1 "..." --g2 "..."
# Do geometries overlap?
uv run python scripts/shapely_compute.py pred overlaps --g1 "..." --g2 "..."
# Are geometries equal?
uv run python scripts/shapely_compute.py pred equals --g1 "..." --g2 "..."
# Does g1 cover g2?
uv run python scripts/shapely_compute.py pred covers --g1 "..." --g2 "..."
# Is g1 covered by g2?
uv run python scripts/shapely_compute.py pred covered_by --g1 "..." --g2 "..."
Geometric measurements.
# Area (polygons)
uv run python scripts/shapely_compute.py measure area --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"
# Length (lines, polygon perimeter)
uv run python scripts/shapely_compute.py measure length --geom "LINESTRING(0 0,3 4)"
# Centroid
uv run python scripts/shapely_compute.py measure centroid --geom "POLYGON((0 0,2 0,2 2,0 2,0 0))"
# Bounds (minx, miny, maxx, maxy)
uv run python scripts/shapely_compute.py measure bounds --geom "POLYGON(...)"
# Exterior ring (polygon only)
uv run python scripts/shapely_compute.py measure exterior_ring --geom "POLYGON(...)"
# All measurements at once
uv run python scripts/shapely_compute.py measure all --geom "POLYGON((0 0,2 0,2 2,0 2,0 0))"
Distance between geometries.
uv run python scripts/shapely_compute.py distance --g1 "POINT(0 0)" --g2 "POINT(3 4)"
# Returns: {"distance": 5.0, "g1_type": "Point", "g2_type": "Point"}
Affine transformations.
# Translate (move)
uv run python scripts/shapely_compute.py transform translate \
--geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "5,10"
# params: dx,dy or dx,dy,dz
# Rotate (degrees, around centroid by default)
uv run python scripts/shapely_compute.py transform rotate \
--geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "45"
# params: angle or angle,origin_x,origin_y
# Scale (from centroid by default)
uv run python scripts/shapely_compute.py transform scale \
--geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "2,2"
# params: sx,sy or sx,sy,origin_x,origin_y
# Skew
uv run python scripts/shapely_compute.py transform skew \
--geom "POLYGON(...)" --params "15,0"
# params: xs,ys (degrees)
Check and fix geometry validity.
# Check if valid
uv run python scripts/shapely_compute.py validate --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"
# Returns: {"is_valid": true, "type": "Polygon", ...}
# Fix invalid geometry (self-intersecting, etc.)
uv run python scripts/shapely_compute.py makevalid --geom "POLYGON((0 0,2 2,2 0,0 2,0 0))"
Extract coordinates from geometry.
uv run python scripts/shapely_compute.py coords --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"
# Returns: {"coords": [[0,0],[1,0],[1,1],[0,1],[0,0]], "type": "Polygon"}
Parse WKT and get geometry information.
uv run python scripts/shapely_compute.py fromwkt "POLYGON((0 0,1 0,1 1,0 1,0 0))"
# Returns: {"type": "Polygon", "bounds": [...], "area": 1.0, ...}
point - Single coordinate (x, y) or (x, y, z)line/linestring - Sequence of connected pointspolygon - Closed shape with optional holesmultipoint, multilinestring, multipolygon - Collections"0,0 1,0 1,1 0,1" (space-separated x,y pairs)"POLYGON((0 0, 1 0, 1 1, 0 1, 0 0))"All commands return JSON with:
wkt: WKT representation of result geometrytype: Geometry type (Point, LineString, Polygon, etc.)bounds: (minx, miny, maxx, maxy)is_valid, is_empty: Validity flags| Use Case | Command |
|---|---|
| Collision detection | pred intersects |
| Point-in-polygon | pred contains |
| Area calculation | measure area |
| Buffer zones | op buffer |
| Shape combination | op union |
| Shape subtraction | op difference |
| Bounding box | op envelope or measure bounds |
| Simplify path | op simplify |
/math-mode - Full math orchestration (SymPy, Z3)/math-plot - Visualization with matplotlib