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)

There are many more illustrated examples that give a good overview of the library's features and syntax.

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. Its dual, the Minkowski erosion, answers where a shape fits inside another:

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

Pangolin includes fundamental algorithms:

  • Convex hull computed with Graham scan.
  • Line segment intersection: Bentley-Ottmann sweep line using rational numbers.
  • Minkowski sum, Minkowski erosion and boolean operations.
  • Visibility graph and visibility polygon.
  • Find the closest pair of points using divide and conquer.
  • Smallest enclosing disk and rectangle.
  • Sort points by angle or Hilbert order.

and data structures:

  • Kd-tree for points and a generalization for other bounded shapes.
  • Interval tree to use 1-dimensional queries on projections.
  • Triangulation including Delaunay and constrained Delaunay triangulations for points and polygons.
  • Arrangement of lines, line segments, and rays with a trapezoidal map for fast point location.
  • Graph class for combinatorial algorithms like Dijkstra and Prim that can be used to compute Euclidean minimum spanning trees and shortest paths among obstacles.
  • Bit matrix over the integer grid: one bit per cell, for digital-geometry set algebra, Minkowski operations, connectivity and morphology a word at a time.

Installation

pypgl requires Python 3.10 or newer. Up to 0.6.0 the floor was 3.9, which reached end-of-life in October 2025; 3.9 users can stay on that release.

From PyPI

pip install pypgl

Pre-built wheels are published for CPython 3.10–3.14 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, enclosing shapes, minimum spanning trees, visibility, robot motion planning, arrangements and Voronoi diagrams.
  • Shapes and canvases render inline in a Jupyter notebook — see canvas.md.
  • Check the C++ version.

Project links

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Credits

Author: Guilherme D. da Fonseca

GitHub Statistics

Data verified by PyPI on Sep 1, 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 >=3.10

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The following attestation bundles were made for pypgl-1.2.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl:

Publisher: wheels.yml on gfonsecabr/pypgl

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The following attestation bundles were made for pypgl-1.2.0-cp310-cp310-macosx_11_0_arm64.whl:

Publisher: wheels.yml on gfonsecabr/pypgl

Attestations: Values shown here reflect the state when the release was signed and may no longer be current.

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This release

1.2.0 This release

16 files

1.1.0

16 files

1.0.0

16 files

0.7.0

16 files

0.6.0

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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