Compute the area of spherical polygons on the unit sphere.
Project description
sparea: Spherical Polygon Area
Python bindings for sparea_zig, a Zig library for computing the area of spherical polygons.
import math
import sparea as sp
# Octant triangle: equator at lng=0, equator at lng=π/2, north pole.
sp.area([
(0.0, 0.0),
(0.0, math.pi / 2),
(math.pi / 2, 0.0),
]) # ≈ pi / 2
# Same polygon expressed as unit (x, y, z) vectors.
sp.area([
(1.0, 0.0, 0.0),
(0.0, 1.0, 0.0),
(0.0, 0.0, 1.0),
], geo='vec3') # ≈ pi / 2
sp.area accepts three keyword arguments:
geo: input convention.'latlng'(default) — each row is(lat, lng)in radians.'vec3'— each row is a unit(x, y, z). The number of input columns must match.algo: kernel selection.'auto'(default) dispatches between a cross-product centroid-fan path (for hemisphere-contained polygons) and a per-edge angle formula.'cross'and'angle'force the named kernel.signed: output sign convention.False(default) folds the result into[0, 4π)— reversing the vertex order yields the complementary region (4π − interior).Truereturns the raw signed kernel value (positive for CCW-from-outside, negative otherwise).
Installing
pip install sparea
# or
uv add sparea
Wheels are published for Python 3.11–3.14 across Linux (x86_64, aarch64, manylinux + musllinux), macOS arm64, and Windows AMD64. No host-level Zig install needed.
To install the unreleased main branch instead, point pip/uv at the git URL:
pip install git+https://github.com/ajfriend/sparea_py.git
uv pip install git+https://github.com/ajfriend/sparea_py.git
That path triggers a source build: the hatchling hook
(src/hatch_build.py) pulls the Zig toolchain from the ziglang
PyPI wheel, compiles libsparea.{dylib,so,dll}, and bundles it into
the wheel before pip installs it. The upstream sparea_zig source
is fetched over the network from the URL pinned in
src/zig/build.zig.zon.
See dev.md for architecture, layout, and contributor
notes.
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