howzat

User-friendly Python bindings for the Rust crates howzat and howzat-kit via PyO3.

Usage

import numpy as np
import howzat

verts = np.asarray([[0.0, 0.0], [1.0, 0.0], [0.0, 1.0]], dtype=np.float64)

res = howzat.solve(verts)  # cached default backend: "howzat-dd[purify[snap]]:f64[eps[1e-12]]"
# res = howzat.Backend().solve(verts)  # same as above
# res = howzat.Backend("howzat-dd[purify[snap],adj[sparse]]:f64").solve(verts)  # force sparse adjacency graphs

verts_i64 = np.asarray([[0, 0], [1, 0], [0, 1]], dtype=np.int64)
res_exact = howzat.solve_exact(verts_i64)  # cached exact backend: "howzat-dd:gmprat"

print(res.facets, res.ridges)
print(res.facet_adjacency)
print(res.generators)    # numpy.ndarray[float64] (row-major, shape=(n, d+1))
print(res.inequalities)  # numpy.ndarray[float64] (row-major, shape=(m, d+1))

input must be a contiguous (C-order) 2D numpy.ndarray.

repr=howzat.Representation.EuclideanVertices (default): input has shape (n, d) (vertex coordinates).
repr=howzat.Representation.HomogeneousGenerators: input has shape (n, d+1) (homogeneous generator rows).
repr=howzat.Representation.Inequality: input has shape (m, d+1) (H-rep rows (b, a...)).

howzat.solve(...) accepts float64 arrays. howzat.solve_exact(...) accepts int64 arrays or dtype=object arrays containing exact rationals (e.g. fractions.Fraction objects).

Backends

The class howzat.Backend(spec) accepts backend spec strings, which specify the algorithm and parameters of the computation pipeline.

At a high level, the syntax is: KIND[OPTIONS][:SPEC]. Some examples:

howzat-dd[purify[snap]]:f64[eps[1e-12]] (default)
howzat-dd:f64
howzat-dd:f64[eps[1e-12],max]-resolve[gmprat]
cddlib:gmprational
cddlib+hlbl:f64
lrslib+hlbl (defaults to lrslib+hlbl:gmpint)

Backend options ([OPTIONS]) are comma-separated and may include:

adj[dense] / adj[sparse]: force dense bitset graphs vs adjacency lists (if supported natively)
purify[...]: configure howzat-dd purifiers, e.g. purify[snap] or purify[upsnap[gmprat]]

If adj[...] is omitted and the backend supports both adjacency representations, howzat-kit chooses dense unless the dense bitset representation would exceed 128MiB (for either the vertex graph, or the facet graph upper bound), in which case it chooses sparse.

Supported KIND[:SPEC] forms:

cddlib[:f64|gmpfloat|gmprational]
cddlib+hlbl[:f64|gmpfloat|gmprational]
howzat-dd[:PIPELINE]
howzat-lrs[:rug|dashu]
lrslib+hlbl[:gmpint]
ppl+hlbl[:gmpint]

API

howzat.solve(input, repr=Representation.EuclideanVertices) -> SolveResult Convenience function which uses the default backend (howzat-dd[purify[snap]]:f64[eps[1e-12]]).
howzat.solve_exact(input, repr=Representation.EuclideanVertices) -> SolveResult Convenience function which uses the default exact backend (howzat-dd:gmprat).
howzat.Backend(spec: str | None = None) Loads the specified backend; None selects the default.
Backend.solve(input, repr=Representation.EuclideanVertices) -> SolveResult Runs the backend.
Backend.solve_exact(input, repr=Representation.EuclideanVertices) -> SolveResult Runs the backend in exact mode (int64); errors if the backend is not exact.

SolveResult

A SolveResult has the fields:

spec: str backend spec actually used
dimension: int ambient dimension d
vertices: int number of vertices n
facets: int number of facets
ridges: int number of ridges (edges in the facet adjacency / FR graph)
total_seconds: float time spent inside the backend (seconds)
vertex_positions: list[list[float]] | None vertex coordinates if the backend returned baseline geometry
vertex_adjacency: DenseGraph | AdjacencyList vertex adjacency graph (dense or sparse)
facets_to_vertices: list[list[int]] for each facet, the incident vertex indices
facet_adjacency: DenseGraph | AdjacencyList facet adjacency graph (FR graph; dense or sparse)
generators: numpy.ndarray[float64] | list[list[str]] | None
inequalities: numpy.ndarray[float64] | list[list[str]] | None
fails: int backend-specific failure count (pipeline dependent)
fallbacks: int backend-specific fallback count (pipeline dependent)

For exact rational solves (solve_exact(...) with exact backend input), coefficient matrices are returned as list[list[str]] (exact strings).

Both graph types support:

node_count() -> int
degree(node: int) -> int
contains(node: int, neighbor: int) -> bool
neighbors(node: int) -> list[int]

Install

From PyPI:

python -m pip install howzat

Force a local source build, and enabling CPU-native codegen:

RUSTFLAGS="-C target-cpu=native" python -m pip install --no-binary howzat howzat

Prebuilt wheels are compiled for a portable baseline CPU (not target-cpu=native).

Metadata

Release files for howzat 0.3.9

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for howzat 0.3.9
File	Size	Uploaded
howzat-0.3.9.tar.gz	17.0 MB	Mar 6, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for howzat 0.3.9
File	Interpreter	ABI	Platform	Reset
howzat-0.3.9-cp314-cp314-manylinux_2_34_x86_64.whl 9.3 MB Mar 9, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.34+ x86-64	Details
howzat-0.3.9-cp314-cp314-manylinux_2_34_aarch64.whl 7.7 MB Mar 9, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.34+ ARM64	Details
howzat-0.3.9-cp314-cp314-macosx_11_0_arm64.whl 6.9 MB Mar 9, 2026	CPython 3.14	CPython 3.14	macOS 11.0+ ARM64	Details
howzat-0.3.9-cp314-cp314-macosx_10_12_x86_64.whl 8.4 MB Mar 9, 2026	CPython 3.14	CPython 3.14	macOS 10.12+ x86-64	Details
howzat-0.3.9-cp313-cp313-manylinux_2_34_x86_64.whl 9.4 MB Mar 6, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.34+ x86-64	Details
howzat-0.3.9-cp313-cp313-manylinux_2_34_aarch64.whl 7.7 MB Mar 6, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.34+ ARM64	Details
howzat-0.3.9-cp313-cp313-macosx_11_0_arm64.whl 6.9 MB Mar 6, 2026	CPython 3.13	CPython 3.13	macOS 11.0+ ARM64	Details
howzat-0.3.9-cp313-cp313-macosx_10_12_x86_64.whl 8.4 MB Mar 6, 2026	CPython 3.13	CPython 3.13	macOS 10.12+ x86-64	Details
howzat-0.3.9-cp312-cp312-manylinux_2_34_x86_64.whl 9.4 MB Mar 6, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.34+ x86-64	Details
howzat-0.3.9-cp312-cp312-manylinux_2_34_aarch64.whl 7.7 MB Mar 6, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.34+ ARM64	Details
howzat-0.3.9-cp312-cp312-macosx_11_0_arm64.whl 6.9 MB Mar 6, 2026	CPython 3.12	CPython 3.12	macOS 11.0+ ARM64	Details
howzat-0.3.9-cp312-cp312-macosx_10_12_x86_64.whl 8.4 MB Mar 6, 2026	CPython 3.12	CPython 3.12	macOS 10.12+ x86-64	Details
howzat-0.3.9-cp311-cp311-manylinux_2_34_x86_64.whl 9.3 MB Mar 6, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.34+ x86-64	Details
howzat-0.3.9-cp311-cp311-manylinux_2_34_aarch64.whl 7.6 MB Mar 6, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.34+ ARM64	Details
howzat-0.3.9-cp311-cp311-macosx_11_0_arm64.whl 6.9 MB Mar 6, 2026	CPython 3.11	CPython 3.11	macOS 11.0+ ARM64	Details
howzat-0.3.9-cp311-cp311-macosx_10_12_x86_64.whl 8.4 MB Mar 6, 2026	CPython 3.11	CPython 3.11	macOS 10.12+ x86-64	Details
howzat-0.3.9-cp310-cp310-manylinux_2_34_x86_64.whl 9.3 MB Mar 6, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.34+ x86-64	Details
howzat-0.3.9-cp310-cp310-manylinux_2_34_aarch64.whl 7.6 MB Mar 6, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.34+ ARM64	Details
howzat-0.3.9-cp310-cp310-macosx_11_0_arm64.whl 6.9 MB Mar 6, 2026	CPython 3.10	CPython 3.10	macOS 11.0+ ARM64	Details
howzat-0.3.9-cp310-cp310-macosx_10_12_x86_64.whl 8.4 MB Mar 6, 2026	CPython 3.10	CPython 3.10	macOS 10.12+ x86-64	Details

Total release size: 178.9 MB

Release files / howzat-0.3.9.tar.gz

Download URL	howzat-0.3.9.tar.gz
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Download URL	howzat-0.3.9-cp313-cp313-manylinux_2_34_x86_64.whl
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Release files / howzat-0.3.9-cp313-cp313-macosx_11_0_arm64.whl

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Release files / howzat-0.3.9-cp311-cp311-macosx_11_0_arm64.whl

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Release files / howzat-0.3.9-cp311-cp311-macosx_10_12_x86_64.whl

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Release files / howzat-0.3.9-cp310-cp310-manylinux_2_34_x86_64.whl

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Release files / howzat-0.3.9-cp310-cp310-manylinux_2_34_aarch64.whl

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Release files / howzat-0.3.9-cp310-cp310-macosx_11_0_arm64.whl

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Publishing commit: github.com/khoek/howzat/tree/1064ea6a4e9829349f698896074edcac6b32b083

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Release files / howzat-0.3.9-cp310-cp310-macosx_10_12_x86_64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
Publishing repository: github.com/khoek/howzat
Publishing commit: github.com/khoek/howzat/tree/1064ea6a4e9829349f698896074edcac6b32b083

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0.3.9 This release

Mar 6, 2026 21 release files

0.3.7

Mar 6, 2026 17 release files

0.3.4

Mar 5, 2026 17 release files

0.2.0.post1

Jan 18, 2026 13 release files

0.2.0

Jan 18, 2026 13 release files

howzat 0.3.9

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