Pangolin: Plane Geometry Library

License

⚠️ Work in Progress: This library is still under construction and contains bugs and missing features. Use in production environments is not recommended.

Pangolin (or pgl) is a C++ library for computational geometry in the plane and pypgl is the official python binding for it. It is designed to be pleasant to use and always exact. Calculations are exact using rational numbers (floating point is not accepted).

import pypgl as pgl

p = pgl.Point(1, 0)
q = pgl.Point(4, '15/2')
s = pgl.Segment(p, q)
t = pgl.Segment(0, 8, '7/3', 1)
if s.intersects(t):
    print(s, "intersects", t)
# Output: (1,0)--(4,15/2) intersects (0,8)--(7/3,1)

Shapes and Predicates

Family Shapes
0-dimensional Point
1-dimensional Segment, OrientedSegment, Line, OrientedLine, Ray, Polyline, MonotoneChain
2-dimensional Halfplane, Triangle, Rectangle, Disk, Convex, Polygon, PolygonWithHoles, PolygonSet, HalfplaneIntersection

The following predicates are implemented as methods of all shapes.

  • contains(Shape) Does it contain the other shape?
  • boundaryContains(Shape) Does its boundary contain the other shape?
  • interiorContains(Shape) Does it contain the other shape in the interior?
  • intersects(Shape) Do the two shapes intersect?
  • interiorsIntersect(Shape) Do the interiors of the two shapes intersect?
  • separates(Shape) Does one shape cut the other into two (or more) components?
  • crosses(Shape) Do both shapes separate each other?
import pypgl as pgl

o = pgl.Point()      # Point (0,0)
d = pgl.Disk(o, 10)  # Disk of radius 10 centered at (0,0)
if d.contains(o):
    print("Disk contains", o)
diam = d.diameter()
if d.contains(diam):
    print("Disk contains the diameter")
if not d.interiorContains(diam):
    print("Disk's interior does not contain the diameter")
# Output:
# Disk contains (0,0)
# Disk contains the diameter
# Disk's interior does not contain the diameter

Other Methods

Several other methods are supported by the shapes.

import pypgl as pgl

c = pgl.Convex([pgl.Point(0, 0), pgl.Point(1, 0), pgl.Point(1, 2), pgl.Point(0, 1)])
s = c.diameter()
print("The diameter of", c,
      "is defined by", s,
      "and has length", s.length())
# Output: The diameter of Convex[(0,0),(1,0),(1,2),(0,1)] is defined by (0,0)--(1,2) and has length 2.23607

Distances come in the Euclidean (squaredDistance, exact and therefore squared), Manhattan (distanceL1) and Chebyshev (distanceLInf) flavors, each with a Hausdorff variant between shapes. samePointSet asks whether two shapes cover the same points, across types and regardless of how each is written.

The boolean operations (regularizedUnion, difference, symmetricDifference, regularizedIntersection) and the Minkowski sum are closed over the region shapes, so a result feeds straight back in:

import pypgl as pgl

square = pgl.Polygon([pgl.Point(0,0), pgl.Point(10,0), pgl.Point(10,10), pgl.Point(0,10)])
holed = square.difference(pgl.Rectangle(pgl.Point(3,3), pgl.Point(7,7)))
print(holed.area(), holed.holeCount())
# Output: 84 1

Shapes are moved around with +/-/*//, and an arbitrary affine map is applied with a Transformation:

import pypgl as pgl

t = pgl.Transformation.rotation90() * pgl.Transformation.translation(2, 0)
print(t * pgl.Segment(0, 0, 5, 5))
# Output: (-5,7)--(0,2)

Visualization

A Canvas class is provided for visualization, exporting to SVG, PDF, or Ipe:

import pypgl as pgl

canvas = pgl.Canvas()
canvas.draw(pgl.Point(0, 0))

tri = pgl.Triangle(-1, -1, 0, 2, 1, -2)
canvas.stroke("green")
canvas.draw(tri)
canvas.stroke("blue")
canvas.draw(2*tri)
canvas.writeSVG("example2.svg")

Algorithms and Data Structures

PGL includes fundamental algorithms and data structures such as:

  • Convex hull: convexHull / convexHullExtended, computed with Graham scan.
  • Line segment intersection: sweep-line and brute-force pair enumeration plus detection predicates, all using rational numbers.
  • Smallest enclosing disk (smallestEnclosingDisk) and closest pair of points (closestPair), both exact.
  • Visibility: visibility graphs and the visible region from a query point, for a polygon, a region, or a triangulation with walls.
  • Sort points: in place by angle (sortAround) or Hilbert order (hilbertSort).
  • Polyomino enumeration: free polyominoes as Polygon or PolygonWithHoles objects.
  • ShapeTree: a kd-tree for points, generalized to a mix of any bounded shapes, answering range and nearest-neighbor queries.
  • IntervalTree: a mutable one-dimensional index over the shapes' projections, balanced under insertion and removal.
  • Triangulation: including Delaunay and constrained Delaunay triangulations for points, polygons and regions, with traversal queries, incremental insertion, convex decomposition and Voronoi duals.
  • Arrangement: the exact subdivision of the plane induced by segments, rays and lines, with point location and face extraction.
  • Graph: the combinatorial companion of the geometric structures, with connectivity, clique cover, minimum spanning tree and shortest path.

Installation

pypgl requires Python 3.9 or newer.

From PyPI

pip install pypgl

Pre-built wheels are published for CPython 3.9–3.14 on Linux (manylinux_2_28, x86_64), macOS (Apple Silicon), and Windows, so most users need no compiler.

From source

Installing from a source tree or directly from GitHub builds the extension locally and therefore needs a C++20 compiler (GCC 12+, Clang 15+, or, on Windows, the LLVM/ClangCL toolset). The header-only pgl library is fetched automatically by CMake — nothing else to install.

pip install git+https://github.com/gfonsecabr/pypgl.git

Development install

Work on the bindings from a checkout with an editable, in-place build:

git clone https://github.com/gfonsecabr/pypgl.git
cd pypgl
python3 -m venv .venv
.venv/bin/pip install scikit-build-core nanobind pytest
.venv/bin/pip install -e . --no-build-isolation
.venv/bin/python -m pytest tests/ -q

--no-build-isolation lets CMake find the venv's nanobind. Re-run the pip install -e . step after editing any src/*.cpp, since the editable install is what rebuilds the extension. To build against a local pgl checkout instead of the pinned upstream commit:

.venv/bin/pip install -e . --no-build-isolation \
  -C cmake.define.PGL_INCLUDE_DIR=/path/to/pgl/include

More Information

  • For a brief description, check the documents at the doc folder.
  • Runnable scripts live in the examples folder — predicates, canvas styling, a shape gallery, ShapeTree queries, constrained triangulation, Minkowski sums, minimum spanning trees, visibility, arrangements and Voronoi diagrams.
  • Shapes and canvases render inline in a Jupyter notebook — see canvas.md.
  • Check the C++ version.

Project links

Data verified by PyPI on Aug 18, 2026
Data provided by the project maintainers, verified at the time the release was uploaded to PyPI.

Key dates

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  • Released:
Newer release available (1.2.0)

1 maintainer

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Avatar for gfonsecabr from gravatar.com gfonsecabr

Credits

Author: Guilherme D. da Fonseca

GitHub Statistics

Data verified by PyPI on Aug 18, 2026
The GitHub source repository was provided by the project maintainers and verified by PyPI at the time of upload. Stars, forks, and open issues/PRs are derived from that repository and have not been independently verified.

License

MIT License (MIT License)

Requires

Python >=3.9

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Release history Release notifications | RSS feed

1.2.0

16 files

1.1.0

16 files

1.0.0

16 files

0.7.0

16 files

This release

0.6.0 This release

19 files

0.5.1

19 files

0.5.0

16 files

0.4.0

16 files

0.3.1

16 files

0.3.0

16 files

0.2.1

16 files

0.2.0

16 files

0.1.1

16 files

0.1.0

16 files

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