diff --git a/.all-contributorsrc b/.all-contributorsrc
index eee250a4..5e5e6b0b 100644
--- a/.all-contributorsrc
+++ b/.all-contributorsrc
@@ -27,7 +27,8 @@
"tool",
"test",
"bug",
- "platform"
+ "platform",
+ "review"
]
},
{
@@ -47,7 +48,8 @@
"profile": "https://github.com/j-bowhay",
"contributions": [
"code",
- "review"
+ "review",
+ "tool"
]
},
{
@@ -90,14 +92,20 @@
]
},
{
- "login": "rgommers",
- "name": "Ralf Gommers",
- "avatar_url": "https://avatars.githubusercontent.com/u/98330?v=4",
- "profile": "https://github.com/rgommers/",
+ "login": "crusaderky",
+ "name": "Guido Imperiale",
+ "avatar_url": "https://avatars.githubusercontent.com/u/6213168?v=4",
+ "profile": "https://github.com/crusaderky",
"contributions": [
+ "code",
+ "doc",
+ "tool",
+ "test",
+ "example",
+ "bug",
"ideas",
- "infra",
- "review"
+ "review",
+ "maintenance"
]
},
{
@@ -155,6 +163,17 @@
"code"
]
},
+ {
+ "login": "rgommers",
+ "name": "Ralf Gommers",
+ "avatar_url": "https://avatars.githubusercontent.com/u/98330?v=4",
+ "profile": "https://github.com/rgommers/",
+ "contributions": [
+ "ideas",
+ "infra",
+ "review"
+ ]
+ },
{
"login": "ogrisel",
"name": "Olivier Grisel",
@@ -163,6 +182,63 @@
"contributions": [
"code"
]
+ },
+ {
+ "login": "ev-br",
+ "name": "Evgeni Burovski",
+ "avatar_url": "https://avatars.githubusercontent.com/u/2133832?v=4",
+ "profile": "https://github.com/ev-br",
+ "contributions": [
+ "code",
+ "doc"
+ ]
+ },
+ {
+ "login": "jakevdp",
+ "name": "Jake Vanderplas",
+ "avatar_url": "https://avatars.githubusercontent.com/u/781659?v=4",
+ "profile": "http://www.vanderplas.com/",
+ "contributions": [
+ "review"
+ ]
+ },
+ {
+ "login": "kotlinisland",
+ "name": "kotlinisland",
+ "avatar_url": "https://avatars.githubusercontent.com/u/65446343?v=4",
+ "profile": "https://github.com/KotlinIsland",
+ "contributions": [
+ "review"
+ ]
+ },
+ {
+ "login": "detachhead",
+ "name": "detachhead",
+ "avatar_url": "https://avatars.githubusercontent.com/u/57028336?v=4",
+ "profile": "https://github.com/DetachHead",
+ "contributions": [
+ "review"
+ ]
+ },
+ {
+ "login": "NeilGirdhar",
+ "name": "Neil Girdhar",
+ "avatar_url": "https://avatars.githubusercontent.com/u/730137?v=4",
+ "profile": "https://github.com/NeilGirdhar",
+ "contributions": [
+ "code",
+ "test"
+ ]
+ },
+ {
+ "login": "lithomas1",
+ "name": "Thomas Li",
+ "avatar_url": "https://avatars.githubusercontent.com/u/47963215?v=4",
+ "profile": "https://github.com/lithomas1",
+ "contributions": [
+ "bug",
+ "tool"
+ ]
}
]
}
diff --git a/.editorconfig b/.editorconfig
new file mode 100644
index 00000000..46f23570
--- /dev/null
+++ b/.editorconfig
@@ -0,0 +1,14 @@
+root = true
+
+[*.{py,md}]
+indent_style = space
+end_of_line = lf
+trim_trailing_whitespace = true
+insert_final_newline = true
+
+[*.py]
+max_line_length = 88
+indent_size = 4
+
+[*.md]
+max_line_length = 80
diff --git a/.github/dependabot.yml b/.github/dependabot.yml
deleted file mode 100644
index 6c4b3695..00000000
--- a/.github/dependabot.yml
+++ /dev/null
@@ -1,11 +0,0 @@
-version: 2
-updates:
- # Maintain dependencies for GitHub Actions
- - package-ecosystem: "github-actions"
- directory: "/"
- schedule:
- interval: "weekly"
- groups:
- actions:
- patterns:
- - "*"
diff --git a/.github/workflows/cd.yml b/.github/workflows/cd.yml
index e00708a5..13411752 100644
--- a/.github/workflows/cd.yml
+++ b/.github/workflows/cd.yml
@@ -1,5 +1,8 @@
name: CD
+permissions:
+ contents: read
+
on:
workflow_dispatch:
pull_request:
@@ -14,11 +17,11 @@ jobs:
dist:
runs-on: ubuntu-latest
steps:
- - uses: actions/checkout@v4
+ - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
with:
fetch-depth: 0
- - uses: hynek/build-and-inspect-python-package@v2
+ - uses: hynek/build-and-inspect-python-package@b5076c307dc91924a82ad150cdd1533b444d3310 # v2.12.0
publish:
needs: [dist]
@@ -31,14 +34,14 @@ jobs:
if: github.event_name == 'release' && github.event.action == 'published'
steps:
- - uses: actions/download-artifact@v4
+ - uses: actions/download-artifact@95815c38cf2ff2164869cbab79da8d1f422bc89e # v4.2.1
with:
name: Packages
path: dist
- name: Generate artifact attestation for sdist and wheel
- uses: actions/attest-build-provenance@v1.4.4
+ uses: actions/attest-build-provenance@c074443f1aee8d4aeeae555aebba3282517141b2 # v2.2.3
with:
subject-path: "dist/*"
- - uses: pypa/gh-action-pypi-publish@release/v1
+ - uses: pypa/gh-action-pypi-publish@76f52bc884231f62b9a034ebfe128415bbaabdfc # v1.12.4
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 50952923..d030beff 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -1,5 +1,8 @@
name: CI
+permissions:
+ contents: read
+
on:
workflow_dispatch:
pull_request:
@@ -21,19 +24,20 @@ jobs:
name: Format
runs-on: ubuntu-latest
steps:
- - uses: actions/checkout@v4
+ - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
with:
fetch-depth: 0
- - uses: actions/setup-python@v5
+ - uses: actions/setup-python@8d9ed9ac5c53483de85588cdf95a591a75ab9f55 # v5.5.0
with:
- python-version: "3.x"
- - uses: pre-commit/action@v3.0.1
+ python-version: "3.13.2"
+ - uses: pre-commit/action@2c7b3805fd2a0fd8c1884dcaebf91fc102a13ecd # v3.0.1
with:
extra_args: --hook-stage manual --all-files
- - uses: prefix-dev/setup-pixi@v0.8.1
+ - uses: prefix-dev/setup-pixi@dbaed5efa0bd33d6bd6d162bec8a06d8fc43c807 # v0.8.5
with:
- pixi-version: v0.37.0
+ pixi-version: v0.42.1
cache: true
+ environments: lint
- name: Run Pylint, Mypy & Pyright
run: |
pixi run -e lint pylint
@@ -47,17 +51,17 @@ jobs:
strategy:
fail-fast: false
matrix:
- environment: [ci-py310, ci-py313]
+ environment: [tests-py310, tests-py313, tests-numpy1, tests-backends]
runs-on: [ubuntu-latest]
steps:
- - uses: actions/checkout@v4
+ - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
with:
fetch-depth: 0
- - uses: prefix-dev/setup-pixi@v0.8.1
+ - uses: prefix-dev/setup-pixi@dbaed5efa0bd33d6bd6d162bec8a06d8fc43c807 # v0.8.5
with:
- pixi-version: v0.37.0
+ pixi-version: v0.42.1
cache: true
environments: ${{ matrix.environment }}
@@ -65,6 +69,6 @@ jobs:
run: pixi run -e ${{ matrix.environment }} tests-ci
- name: Upload coverage report
- uses: codecov/codecov-action@v5.0.7
+ uses: codecov/codecov-action@0565863a31f2c772f9f0395002a31e3f06189574 # v5.4.0
with:
token: ${{ secrets.CODECOV_TOKEN }}
diff --git a/.github/workflows/dependabot-auto-merge.yml b/.github/workflows/dependabot-auto-merge.yml
deleted file mode 100644
index bd29e25b..00000000
--- a/.github/workflows/dependabot-auto-merge.yml
+++ /dev/null
@@ -1,23 +0,0 @@
-# https://docs.github.com/en/code-security/dependabot/working-with-dependabot/automating-dependabot-with-github-actions#approve-a-pull-request
-name: Dependabot auto-merge
-on: pull_request
-
-permissions:
- contents: write
- pull-requests: write
-
-jobs:
- dependabot:
- runs-on: ubuntu-latest
- if: github.actor == 'dependabot[bot]'
- steps:
- - name: Dependabot metadata
- id: metadata
- uses: dependabot/fetch-metadata@v2
- with:
- github-token: "${{ secrets.GITHUB_TOKEN }}"
- - name: Enable auto-merge for Dependabot PRs
- run: gh pr merge --auto --merge "$PR_URL"
- env:
- PR_URL: ${{github.event.pull_request.html_url}}
- GH_TOKEN: ${{secrets.GITHUB_TOKEN}}
diff --git a/.github/workflows/docs-build.yml b/.github/workflows/docs-build.yml
index 1cdf221e..edf949c7 100644
--- a/.github/workflows/docs-build.yml
+++ b/.github/workflows/docs-build.yml
@@ -1,20 +1,24 @@
name: Docs Build
+permissions:
+ contents: read
+
on: [push, pull_request]
jobs:
docs-build:
runs-on: ubuntu-latest
steps:
- - uses: actions/checkout@v4
- - uses: prefix-dev/setup-pixi@v0.8.1
+ - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
+ - uses: prefix-dev/setup-pixi@dbaed5efa0bd33d6bd6d162bec8a06d8fc43c807 # v0.8.5
with:
- pixi-version: v0.37.0
+ pixi-version: v0.42.1
cache: true
+ environments: docs
- name: Build Docs
run: pixi run -e docs docs
- name: Upload Artifact
- uses: actions/upload-artifact@v4
+ uses: actions/upload-artifact@ea165f8d65b6e75b540449e92b4886f43607fa02 # v4.6.2
with:
name: docs-build
path: docs/build/
diff --git a/.github/workflows/docs-deploy.yml b/.github/workflows/docs-deploy.yml
index 5ba6577d..78a5ada1 100644
--- a/.github/workflows/docs-deploy.yml
+++ b/.github/workflows/docs-deploy.yml
@@ -1,5 +1,8 @@
name: Docs Deploy
+permissions:
+ contents: write # needed for the deploy step
+
on:
workflow_run:
workflows: ["Docs Build"]
@@ -14,9 +17,9 @@ jobs:
environment:
name: docs-deploy
steps:
- - uses: actions/checkout@v4
+ - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
- name: Download Artifact
- uses: dawidd6/action-download-artifact@v6
+ uses: dawidd6/action-download-artifact@07ab29fd4a977ae4d2b275087cf67563dfdf0295 # v9
with:
workflow: docs-build.yml
name: docs-build
@@ -26,7 +29,7 @@ jobs:
# See
# https://github.com/JamesIves/github-pages-deploy-action/tree/dev#using-an-ssh-deploy-key-
- name: Deploy
- uses: JamesIves/github-pages-deploy-action@v4
+ uses: JamesIves/github-pages-deploy-action@6c2d9db40f9296374acc17b90404b6e8864128c8 # v4.7.3
with:
folder: docs/build/
ssh-key: ${{ secrets.DEPLOY_KEY }}
diff --git a/.gitignore b/.gitignore
index eccba9dc..0b377833 100644
--- a/.gitignore
+++ b/.gitignore
@@ -114,9 +114,11 @@ ENV/
env.bak/
venv.bak/
-# Spyder project settings
+# IDE project settings
+.idea/
.spyderproject
.spyproject
+.vscode/
# Rope project settings
.ropeproject
@@ -160,3 +162,12 @@ Thumbs.db
# pixi environments
.pixi
*.egg-info
+
+# Vendor tests
+vendor_tests/array_api_compat/
+vendor_tests/array_api_extra/
+
+# all-contributors
+node_modules
+package.json
+yarn.lock
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 41beb381..7be7a1ca 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -12,7 +12,7 @@ repos:
additional_dependencies: [black==24.*]
- repo: https://github.com/pre-commit/pre-commit-hooks
- rev: "v4.6.0"
+ rev: "v5.0.0"
hooks:
- id: check-added-large-files
- id: check-case-conflict
@@ -35,18 +35,18 @@ repos:
- id: rst-inline-touching-normal
- repo: https://github.com/rbubley/mirrors-prettier
- rev: "v3.3.3"
+ rev: "v3.4.2"
hooks:
- id: prettier
types_or: [yaml, markdown, html, css, scss, javascript, json]
args: [--prose-wrap=always]
- repo: https://github.com/astral-sh/ruff-pre-commit
- rev: "v0.6.1"
+ rev: "v0.8.2"
hooks:
+ - id: ruff-format
- id: ruff
args: ["--fix", "--show-fixes"]
- - id: ruff-format
- repo: https://github.com/codespell-project/codespell
rev: "v2.3.0"
@@ -68,13 +68,17 @@ repos:
exclude: .pre-commit-config.yaml
- repo: https://github.com/abravalheri/validate-pyproject
- rev: "v0.19"
+ rev: "v0.23"
hooks:
- id: validate-pyproject
additional_dependencies: ["validate-pyproject-schema-store[all]"]
- repo: https://github.com/python-jsonschema/check-jsonschema
- rev: "0.29.1"
+ rev: "0.30.0"
hooks:
- - id: check-dependabot
- id: check-github-workflows
+
+ - repo: https://github.com/numpy/numpydoc
+ rev: "v1.8.0"
+ hooks:
+ - id: numpydoc-validation
diff --git a/CONTRIBUTORS.md b/CONTRIBUTORS.md
index c3f99188..36d50b0d 100644
--- a/CONTRIBUTORS.md
+++ b/CONTRIBUTORS.md
@@ -9,16 +9,16 @@ This project exists thanks to the following contributors
diff --git a/README.md b/README.md
index 35521b3f..3fe7e3eb 100644
--- a/README.md
+++ b/README.md
@@ -4,12 +4,14 @@
[![docs - here!][docs-badge]][docs-link]
[](https://pixi.sh)
[](#contributors)
-[](https://scientific-python.org/specs/)
+[](https://typing.python.org/)
[](https://codecov.io/github/data-apis/array-api-extra)
[![PyPI version][pypi-version]][pypi-link]
[![Conda-Forge][conda-badge]][conda-link]
[![PyPI platforms][pypi-platforms]][pypi-link]
+[](https://jacobtomlinson.dev/effver)
+[](https://scientific-python.org/specs/spec-0008/)
@@ -32,9 +34,24 @@ Extra array functions built on top of the array API standard.
Used by:
-- [SciPy](https://github.com/scipy/scipy) - Fundamental algorithms for
+- [SciPy](https://github.com/scipy/scipy) β Fundamental algorithms for
scientific computing.
-- ...
+- [scikit-learn](https://github.com/scikit-learn/scikit-learn)Β β Machine
+ Learning in Python.
+- _your library? Let us know!_
+
+## Installation
+
+See https://data-apis.org/array-api-extra/#installation.
+
+## Versioning
+
+This project uses [EffVer](https://jacobtomlinson.dev/effver/). TL;DR:
+
+- To bump from version `x.y.z` to `x.(y+1).0` of array-api-extra, expect that
+ you may need to put in some work.
+- To bump from version `x.y.z` to `x.y.(z+1)`, any work needed on your side
+ should be minimal. Please open an issue if this is not the case!
## Contributors
@@ -47,16 +64,16 @@ This project exists thanks to the following contributors
diff --git a/RELEASING.md b/RELEASING.md
new file mode 100644
index 00000000..564fc682
--- /dev/null
+++ b/RELEASING.md
@@ -0,0 +1,8 @@
+1. Update the version in `src/array_api_extra/__init__.py`
+2. Update the lockfile with `pixi update && pixi install`
+3. Push your changes
+4. Cut a release via the GitHub GUI
+5. Update the version to `{next micro version}.dev0`
+6. `pixi clean cache --pypi && pixi update && pixi install`
+7. Push your changes
+8. Merge the automated PR to conda-forge/array-api-extra-feedstock
diff --git a/codecov.yml b/codecov.yml
index 1a517b3a..dc9b47cd 100644
--- a/codecov.yml
+++ b/codecov.yml
@@ -1,4 +1,9 @@
comment: false
+github_checks:
+ annotations: false
ignore:
- "src/array_api_extra/_lib/_compat"
- "src/array_api_extra/_lib/_typing"
+coverage:
+ status:
+ project: off
diff --git a/docs/api-lazy.md b/docs/api-lazy.md
new file mode 100644
index 00000000..abea5cbb
--- /dev/null
+++ b/docs/api-lazy.md
@@ -0,0 +1,15 @@
+# Tools for lazy backends
+
+These additional functions are meant to be used to support compatibility with
+lazy backends, e.g. Dask or JAX:
+
+```{eval-rst}
+.. currentmodule:: array_api_extra
+.. autosummary::
+ :nosignatures:
+ :toctree: generated
+
+ lazy_apply
+ testing.lazy_xp_function
+ testing.patch_lazy_xp_functions
+```
diff --git a/docs/api-reference.md b/docs/api-reference.md
index ffe68f24..ee33a819 100644
--- a/docs/api-reference.md
+++ b/docs/api-reference.md
@@ -6,11 +6,17 @@
:nosignatures:
:toctree: generated
+ apply_where
+ at
atleast_nd
+ broadcast_shapes
cov
create_diagonal
expand_dims
+ isclose
kron
+ nunique
+ pad
setdiff1d
sinc
```
diff --git a/docs/conf.py b/docs/conf.py
index 5b2fdf05..e2cab35b 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -1,9 +1,11 @@
-from __future__ import annotations
+"""Sphinx config."""
import importlib.metadata
from typing import Any
project = "array-api-extra"
+copyright = "Consortium for Python Data API Standards"
+author = "Consortium for Python Data API Standards"
version = release = importlib.metadata.version("array_api_extra")
extensions = [
@@ -38,7 +40,7 @@
- """,
+ """, # noqa: E501
"class": "",
},
],
@@ -53,6 +55,10 @@
intersphinx_mapping = {
"python": ("https://docs.python.org/3", None),
+ "array-api": ("https://data-apis.org/array-api/draft", None),
+ "dask": ("https://docs.dask.org/en/stable", None),
+ "numpy": ("https://numpy.org/doc/stable", None),
+ "jax": ("https://jax.readthedocs.io/en/latest", None),
}
nitpick_ignore = [
diff --git a/docs/contributing.md b/docs/contributing.md
index b1f8b90d..83db0de4 100644
--- a/docs/contributing.md
+++ b/docs/contributing.md
@@ -6,11 +6,14 @@ converting code to consume the standard.
Thanks to [all contributors](contributors.md) so far!
-## How to contribute a function
+## How to contribute a new function
- [Open an issue](https://github.com/data-apis/array-api-extra/issues/new) to
- propose the new function.
-- Add the implementation of your function to `src/array_api_extra/_funcs.py`.
+ propose the new function. You may want to wait for initial feedback on the
+ issue before diving into an implementation. Feel free to skip this step if
+ there is already an open issue for the function.
+- Add the implementation of your function to
+ `src/array_api_extra/_lib/_funcs.py`.
- Ensure that your function includes type annotations and a
[numpydoc-style docstring](https://numpydoc.readthedocs.io/en/latest/format.html).
- Add your function to `__all__` at the top of the file.
@@ -20,6 +23,33 @@ Thanks to [all contributors](contributors.md) so far!
- Add your function to `docs/api-reference.md`.
- [Make a PR!](https://github.com/data-apis/array-api-extra/pulls)
+## How to add delegation to a function
+
+See [the tracker for adding delegation][delegation-tracker].
+
+[delegation-tracker]: https://github.com/data-apis/array-api-extra/issues/100
+
+- If you would like to discuss the task before diving into the implementation,
+ click on the three dots next to the function on the tracker issue, and choose
+ "Convert to sub-issue".
+- Create a function in `src/array_api_extra/_delegation.py` with a signature
+ matching the function in `src/array_api_extra/_lib/_funcs.py`, and move the
+ docstring to the new function. Leave a one-line docstring in `_funcs.py`,
+ pointing to `_delegation.py` to see the full docstring.
+- Also move the initial `array_namespace` call and any input validation over to
+ the new function.
+- Add delegation to backends using the `if _delegate` pattern. See
+ `src/array_api_extra/_lib/_backends.py` for the full list of backends we have
+ worked with so far.
+- After all delegation layers, return the result from the implementation in
+ `_funcs`.
+- Simplify the signature in `_funcs.py` to remove impossible arguments now that
+ it is only called internally via `_delegation`. For example, the `xp`
+ parameter can be changed from type `ModuleType | None` to `ModuleType`.
+- Don't worry if you are not sure how to do some of the above steps or think you
+ might have done something wrong -
+ [make a PR!](https://github.com/data-apis/array-api-extra/pulls)
+
## Development workflow
If you are an experienced contributor to Python packages, feel free to develop
@@ -43,13 +73,25 @@ pixi shell -e dev
pixi run tests
```
+- To generate the coverage report:
+
+```
+pixi run coverage
+```
+
+- To generate and display the coverage report:
+
+```
+pixi run open-coverage
+```
+
- To build the docs locally:
```
pixi run docs
```
-- To open and preview the locally-built docs:
+- To build and preview the docs locally:
```
pixi run open-docs
@@ -64,7 +106,7 @@ pixi run pre-commit-install
- To run the lint suite:
```
-pixi run lint
+pixi run -e lint lint
```
- To enter an interactive Python prompt:
@@ -76,10 +118,10 @@ pixi run ipython
- To run individual parts of the lint suite separately:
```
-pixi run pre-commit
-pixi run pylint
-pixi run mypy
-pixi run pyright
+pixi run -e lint pre-commit
+pixi run -e lint pylint
+pixi run -e lint mypy
+pixi run -e lint pyright
```
Alternative environments are available with a subset of the dependencies and
@@ -88,5 +130,14 @@ tasks available in the `dev` environment:
```
pixi shell -e docs
pixi shell -e tests
+pixi shell -e tests-backends
pixi shell -e lint
```
+
+If you run on a host with CUDA hardware, you can enable extra tests:
+
+```
+pixi shell -e dev-cuda
+pixi shell -e tests-cuda
+pixi run -e tests-cuda tests
+```
diff --git a/docs/index.md b/docs/index.md
index 11c29162..59615583 100644
--- a/docs/index.md
+++ b/docs/index.md
@@ -5,12 +5,14 @@
:hidden:
self
api-reference.md
+api-lazy.md
contributing.md
contributors.md
```
This is a library housing "array-agnostic" implementations of functions built on
-top of [the Python array API standard](https://data-apis.org/array-api/).
+top of [the Python array API standard](https://data-apis.org/array-api/), as
+well as delegation to existing implementations for known array library backends.
The intended users of this library are "array-consuming" libraries which are
using [array-api-compat](https://data-apis.org/array-api-compat/) to make their
@@ -21,9 +23,11 @@ themselves.
It is currently used by:
-- [SciPy](https://github.com/scipy/scipy) - Fundamental algorithms for
+- [SciPy](https://github.com/scipy/scipy) β Fundamental algorithms for
scientific computing.
-- ...
+- [scikit-learn](https://github.com/scikit-learn/scikit-learn) β Machine
+ Learning in Python.
+- _your library? Let us know!_
(installation)=
@@ -33,6 +37,8 @@ It is currently used by:
[on PyPI](https://pypi.org/project/array-api-extra/):
```shell
+uv add array-api-extra
+# or
python -m pip install array-api-extra
```
@@ -40,9 +46,9 @@ And
[on conda-forge](https://prefix.dev/channels/conda-forge/packages/array-api-extra):
```shell
-micromamba install -c https://repo.prefix.dev/conda-forge array-api-extra
-# or
pixi add array-api-extra
+# or
+mamba install array-api-extra
```
```{warning}
@@ -51,18 +57,75 @@ If you require stability, it is recommended to pin `array-api-extra` to
a specific version, or vendor the library inside your own.
```
+```{note}
+This library depends on `array-api-compat`. We aim for compatibility with
+the latest released version of array-api-compat, and your mileage may vary
+with older or dev versions.
+```
+
(vendoring)=
## Vendoring
To vendor the library, clone
-[the repository](https://github.com/data-apis/array-api-extra) and copy it into
-the appropriate place in your library, like:
+[the array-api-extra repository](https://github.com/data-apis/array-api-extra)
+and copy it into the appropriate place in your library, like:
+
+```
+cp -a array-api-extra/src/array_api_extra mylib/vendored/
+```
+
+You may either add a dependency to array-api-compat in your own project, or
+vendor it too:
+
+1. Clone
+ [the array-api-compat repository](https://github.com/data-apis/array-api-compat)
+ and copy it next to your vendored array-api-extra:
+
+ ```
+ cp -a array-api-compat/array_api_compat mylib/vendored/
+ ```
+
+2. Create a new hook file which array-api-extra will use instead of the
+ top-level array-api-compat if present:
+
+ ```
+ echo 'from mylib.vendored.array_api_compat import *' > mylib/vendored/_array_api_compat_vendor.py
+ ```
+This also allows overriding array-api-compat functions if you so wish. E.g. your
+`mylib/vendored/_array_api_compat_vendor.py` could look like this:
+
+```python
+from mylib.vendored.array_api_compat import *
+from mylib.vendored.array_api_compat import array_namespace as _array_namespace_orig
+
+
+def array_namespace(*xs, **kwargs):
+ import mylib
+
+ if any(isinstance(x, mylib.MyArray) for x in xs):
+ return mylib
+ else:
+ return _array_namespace_orig(*xs, **kwargs)
```
-cp -R array-api-extra/ mylib/vendored/array_api_extra
+
+```{tip}
+See [an example of this in SciPy][scipy-vendor-example].
```
+[scipy-vendor-example]:
+ https://github.com/scipy/scipy/blob/main/scipy/_lib/_array_api_compat_vendor.py
+
+## Versioning
+
+This project uses [EffVer](https://jacobtomlinson.dev/effver/). TL;DR:
+
+- To bump from version `x.y.z` to `x.(y+1).0` of array-api-extra, expect that
+ you may need to put in some work.
+- To bump from version `x.y.z` to `x.y.(z+1)`, any work needed on your side
+ should be minimal. Please open an issue if this is not the case!
+
(usage)=
## Usage
@@ -74,23 +137,29 @@ import array_api_extra as xpx
...
xp = array_namespace(x)
-y = xp.sum(x)
+y = xp.sum(x) # use functions from `xp` as normal
...
-return xpx.atleast_nd(y, ndim=2, xp=xp)
+return xpx.atleast_nd(y, ndim=2, xp=xp) # use functions from `xpx`, passing `xp=xp`
```
```{note}
Functions in this library assume input arrays *are arrays* (not "array-likes") and that
-the namespace passed as `xp` is compatible with the standard. This means that
-the namespace you pass as `xp` should come from array-api-compat's ``array_namespace``,
+the namespace passed as `xp` (if given) is compatible with the standard -
+this means that it should come from array-api-compat's `array_namespace`,
or otherwise be compatible with the standard.
+
+Calling functions without providing an `xp` argument means that `array_namespace`
+is called internally to determine the namespace.
```
In the examples shown in the docstrings of functions from this library,
-[`array-api-strict`](https://data-apis.org/array-api-strict/) is used as the
-array namespace `xp`. In reality, code using this library will be written to
-work with any compatible array namespace as `xp`, not any particular
-implementation.
+[array-api-strict](https://data-apis.org/array-api-strict/) is used as the array
+namespace `xp`. In reality, code using this library will be written to work with
+any compatible array namespace as `xp`, not any particular implementation.
+
+Some functions may only work with specific array libraries supported by
+array-api-compat. This should be clearly indicated in the docs - please open an
+issue if this is not the case!
(scope)=
@@ -102,35 +171,35 @@ Functions that are in-scope for this library will:
standard.
- Implement functionality which may be generally useful across various
libraries.
-- Be implemented purely in terms of the array API standard.
- Be implemented with type annotations and
[numpydoc-style docstrings](https://numpydoc.readthedocs.io/en/latest/format.html).
-- Be tested against `array-api-strict`.
+- Be tested against array-api-strict and various existing backends.
+
+Functions are implemented purely in terms of the array API standard where
+possible. Where functions must use library-specific helpers for libraries
+supported by array-api-compat, this will be clearly marked in their API
+reference page.
+
+Delegation is added for some functions to use native implementations for the
+given array type, instead of the array-agnostic implementations, as this may
+increase performance.
In particular, the following kinds of function are also in-scope:
- Functions which implement
- [array API standard extension](https://data-apis.org/array-api/2023.12/extensions/index.html)
+ [array API standard extension](https://data-apis.org/array-api/latest/extensions/index.html)
functions in terms of functions from the base standard.
- Functions which add functionality (e.g. extra parameters) to functions from
the standard.
The following features are currently out-of-scope for this library:
-- Delegation to known, existing array libraries.
- - It is quite simple to wrap functions in this library to also use existing
- implementations where possible. Such delegation will not live in this
- library for now, but the array-agnostic functions in this library could form
- an array-agnostic backend for such delegating functions in the future, here
- or elsewhere.
- Functions which accept "array-like" input, or standard-incompatible
namespaces.
- It is possible to prepare input arrays and a standard-compatible namespace
- via `array-api-compat` downstream in consumer libraries. Avoiding use of
- `array-api-compat` in this library makes it easier to vendor and reduces
- potential redundant calls to `xp.asarray` and `array_namespace`.
- - For proposed alternatives to the `xp=xp` interface, see
- [this issue](https://github.com/data-apis/array-api-extra/issues/6).
+ via array-api-compat downstream in consumer libraries. The `xp` argument can
+ also be omitted to infer the standard-compatible namespace using
+ `array_namespace` internally.
- Functions which are specific to a particular domain.
- These functions may belong better in an array-consuming library which is
specific to that domain.
diff --git a/docs/requirements.txt b/docs/requirements.txt
deleted file mode 100644
index 77237968..00000000
--- a/docs/requirements.txt
+++ /dev/null
@@ -1,5 +0,0 @@
-furo>=2023.08.17
-myst_parser>=0.13
-sphinx>=7.0
-sphinx_autodoc_typehints
-sphinx_copybutton
diff --git a/pixi.lock b/pixi.lock
index e37d0d0d..61b1f717 100644
--- a/pixi.lock
+++ b/pixi.lock
@@ -1,6 +1,6 @@
-version: 5
+version: 6
environments:
- ci-py310:
+ default:
channels:
- url: https://prefix.dev/conda-forge/
indexes:
@@ -9,323 +9,2107 @@ environments:
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- - conda: https://prefix.dev/conda-forge/noarch/array-api-strict-2.2-pyhd8ed1ab_0.conda
+ - conda: https://prefix.dev/conda-forge/noarch/array-api-compat-1.11.2-pyh29332c3_0.conda
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- arch: arm64
- platform: osx
+ - libzlib >=1.3.1,<2.0a0
+ license: BSD-3-Clause
+ license_family: BSD
+ purls: []
+ size: 399979
+ timestamp: 1742433432699
+- conda: https://prefix.dev/conda-forge/win-64/zstd-1.5.7-hbeecb71_2.conda
+ sha256: bc64864377d809b904e877a98d0584f43836c9f2ef27d3d2a1421fa6eae7ca04
+ md5: 21f56217d6125fb30c3c3f10c786d751
+ depends:
+ - libzlib >=1.3.1,<2.0a0
+ - ucrt >=10.0.20348.0
+ - vc >=14.2,<15
+ - vc14_runtime >=14.29.30139
license: BSD-3-Clause
license_family: BSD
purls: []
- size: 405089
- timestamp: 1714723101397
+ size: 354697
+ timestamp: 1742433568506
diff --git a/pyproject.toml b/pyproject.toml
index abe1a87d..cba9c4cf 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -5,48 +5,32 @@ build-backend = "hatchling.build"
[project]
name = "array-api-extra"
authors = [
- { name = "Lucas Colley", email = "lucas.colley8@gmail.com" },
- { name = "Open Source Contributors" },
+ { name = "Lucas Colley", email = "lucas.colley8@gmail.com" },
+ # { name = "Open Source Contributors" }, # https://github.com/pypi/warehouse/issues/14813
]
description = "Extra array functions built on top of the array API standard."
readme = "README.md"
license.file = "LICENSE"
requires-python = ">=3.10"
classifiers = [
- "Intended Audience :: Developers",
- "License :: OSI Approved :: MIT License",
- "Operating System :: OS Independent",
- "Programming Language :: Python",
- "Programming Language :: Python :: 3",
- "Programming Language :: Python :: 3 :: Only",
- "Programming Language :: Python :: 3.10",
- "Programming Language :: Python :: 3.11",
- "Programming Language :: Python :: 3.12",
- "Programming Language :: Python :: 3.13",
- "Typing :: Typed",
+ "Intended Audience :: Developers",
+ "License :: OSI Approved :: MIT License",
+ "Operating System :: OS Independent",
+ "Programming Language :: Python",
+ "Programming Language :: Python :: 3",
+ "Programming Language :: Python :: 3 :: Only",
+ "Programming Language :: Python :: 3.10",
+ "Programming Language :: Python :: 3.11",
+ "Programming Language :: Python :: 3.12",
+ "Programming Language :: Python :: 3.13",
+ "Typing :: Typed",
]
dynamic = ["version"]
-dependencies = ["typing-extensions"]
-
-[project.optional-dependencies]
-tests = [
- "pytest >=6",
- "pytest-cov >=3",
- "array-api-strict",
- "numpy",
-]
-docs = [
- "sphinx>=7.0",
- "myst_parser>=0.13",
- "sphinx_copybutton",
- "sphinx_autodoc_typehints",
- "furo>=2023.08.17",
-]
+dependencies = ["array-api-compat>=1.11.2,<2"]
[project.urls]
Homepage = "https://github.com/data-apis/array-api-extra"
"Bug Tracker" = "https://github.com/data-apis/array-api-extra/issues"
-Discussions = "https://github.com/data-apis/array-api-extra/discussions"
Changelog = "https://github.com/data-apis/array-api-extra/releases"
@@ -60,61 +44,81 @@ version.path = "src/array_api_extra/__init__.py"
[tool.pixi.project]
channels = ["https://prefix.dev/conda-forge"]
-platforms = ["linux-64", "osx-arm64", "win-64"]
+platforms = ["linux-64", "osx-64", "osx-arm64", "win-64"]
[tool.pixi.dependencies]
-python = ">=3.10.15,<3.14"
-typing_extensions = ">=4.12.2,<4.13"
+python = ">=3.10,<3.14"
+array-api-compat = ">=1.11.2,<2"
[tool.pixi.pypi-dependencies]
array-api-extra = { path = ".", editable = true }
[tool.pixi.feature.lint.dependencies]
-pre-commit = "*"
-pylint = "*"
-basedmypy = "*"
-basedpyright = "*"
+typing-extensions = ">=4.13.2"
+pre-commit = ">=4.2.0"
+pylint = ">=3.3.6"
+basedmypy = ">=2.10.0"
+basedpyright = ">=1.28.5"
+numpydoc = ">=1.8.0,<2"
# import dependencies for mypy:
-array-api-strict = "*"
-numpy = "*"
-pytest = "*"
+array-api-strict = ">=2.3.1"
+numpy = ">=2.1.3"
+pytest = ">=8.3.5"
+hypothesis = ">=6.131.8"
+dask-core = ">=2025.3.0" # No distributed, tornado, etc.
+# NOTE: don't add jax, pytorch, sparse, cupy here
+# as they slow down mypy and are not portable across target OSs
[tool.pixi.feature.lint.tasks]
-pre-commit-install = { cmd = "pre-commit install" }
-pre-commit = { cmd = "pre-commit run -v --all-files --show-diff-on-failure" }
-mypy = { cmd = "mypy", cwd = "." }
-pylint = { cmd = ["pylint", "array_api_extra"], cwd = "src" }
-pyright = { cmd = "basedpyright", cwd = "." }
-lint = { depends-on = ["pre-commit", "pylint", "mypy", "pyright"] }
+pre-commit-install = { cmd = "pre-commit install", description = "Install pre-commit"}
+pre-commit = { cmd = "pre-commit run --all-files", description = "Run pre-commit"}
+mypy = { cmd = "mypy", description="Type check with mypy"}
+pylint = { cmd = "pylint array_api_extra", cwd = "src" , description = "Lint using pylint"}
+pyright = { cmd = "basedpyright", description = "Type check with basedpyright"}
+lint = { depends-on = ["pre-commit", "pylint", "mypy", "pyright"] , description = "Run pre-commit, pylint, mypy, and pyright"}
[tool.pixi.feature.tests.dependencies]
-pytest = ">=6"
-pytest-cov = ">=3"
-array-api-strict = "*"
-numpy = "*"
+pytest = ">=8.3.5"
+pytest-cov = ">=6.1.1"
+hypothesis = ">=6.131.8"
+array-api-strict = ">=2.3.1"
+numpy = ">=1.22.0"
[tool.pixi.feature.tests.tasks]
-tests = { cmd = "pytest" }
-tests-ci = { cmd = "pytest -ra --cov --cov-report=xml --cov-report=term --durations=20" }
+tests = { cmd = "pytest -v", description = "Run tests"}
+tests-cov = { cmd="pytest -v -ra --cov --cov-report=xml --cov-report=term --durations=20", description = "Run tests with coverage"}
-[tool.pixi.feature.docs.dependencies]
-sphinx = ">=7.0"
-furo = ">=2023.08.17"
+clean-vendor-compat = { cmd = "rm -rf vendor_tests/array_api_compat", description = "Delete the existing vendored version of array-api-compat"}
+clean-vendor-extra = { cmd = "rm -rf vendor_tests/array_api_extra" , description = "Delete the existing vendored version of array-api-extra"}
+copy-vendor-compat = { cmd = "cp -r $(python -c 'import site; print(site.getsitepackages()[0])')/array_api_compat vendor_tests/", depends-on = ["clean-vendor-compat"] , description = "Vendor a clean copy of array-api-compat"}
+copy-vendor-extra = { cmd = "cp -r src/array_api_extra vendor_tests/", depends-on = ["clean-vendor-extra"] , description = "Vendor a clean copy of array-api-extra"}
+tests-vendor = { cmd = "pytest -v vendor_tests", depends-on = ["copy-vendor-compat", "copy-vendor-extra"] , description = "Check that array-api-extra and array-api-compat can be vendored together" }
-[tool.pixi.feature.docs.pypi-dependencies]
-myst_parser = ">=0.13"
-sphinx_copybutton = "*"
-sphinx_autodoc_typehints = "*"
+tests-ci = { depends-on = ["tests-cov", "tests-vendor"] , description = "Run tests with coverage and vendor tests"}
+coverage = { cmd = "coverage html", depends-on = ["tests-cov"], description = "Generate test coverage html report"}
+open-coverage = { cmd = "open htmlcov/index.html", depends-on = ["coverage"] , description = "Open test coverage report"}
+
+[tool.pixi.feature.docs.dependencies]
+sphinx = ">=7.4.7"
+furo = ">=2024.8.6"
+myst-parser = ">=4.0.1"
+sphinx-copybutton = ">=0.5.2"
+sphinx-autodoc-typehints = ">=1.25.3"
+# Needed to import parsed modules with autodoc
+dask-core = ">=2025.3.0"
+pytest = ">=8.3.5"
+typing-extensions = ">=4.13.2"
+numpy = ">=2.1.3"
[tool.pixi.feature.docs.tasks]
-docs = { cmd = ["sphinx-build", ".", "build/"], cwd = "docs" }
-open-docs = { cmd = ["open", "build/index.html"], cwd = "docs" }
+docs = { cmd = "sphinx-build -E -W . build/", cwd = "docs" , description = "Build docs"}
+open-docs = { cmd = "open build/index.html", cwd = "docs", depends-on = ["docs"] , description = "Open the generated docs"}
[tool.pixi.feature.dev.dependencies]
-ipython = "*"
+ipython = ">=7.33.0"
[tool.pixi.feature.dev.tasks]
-ipython = { cmd = "ipython" }
+ipython = { cmd = "ipython" , description = "Launch ipython"}
[tool.pixi.feature.py310.dependencies]
python = "~=3.10.0"
@@ -122,14 +126,81 @@ python = "~=3.10.0"
[tool.pixi.feature.py313.dependencies]
python = "~=3.13.0"
+[tool.pixi.feature.numpy1.dependencies]
+# Oldest NumPy version supported by scikit-learn.
+# Note that this is older than what SPEC0 recommends.
+numpy = "=1.22.0"
+
+# Backends that can run on CPU-only hosts
+# Note: JAX and PyTorch will install CPU variants.
+[tool.pixi.feature.backends.dependencies]
+pytorch = ">=2.6.0"
+dask = ">=2025.3.0"
+numba = ">=0.61.2" # sparse dependency
+llvmlite = ">=0.44.0" # sparse dependency
+
+[tool.pixi.feature.backends.pypi-dependencies]
+sparse = { version = ">=0.16.0" }
+
+[tool.pixi.feature.backends.target.linux-64.dependencies]
+jax = ">=0.5.2"
+
+[tool.pixi.feature.backends.target.osx-64.dependencies]
+jax = ">=0.5.2"
+
+[tool.pixi.feature.backends.target.osx-arm64.dependencies]
+jax = ">=0.5.2"
+
+[tool.pixi.feature.backends.target.win-64.dependencies]
+# jax = "*" # unavailable
+
+# Backends that require a GPU host and a CUDA driver.
+# Note that JAX and PyTorch automatically prefer CUDA variants
+# thanks to the `system-requirements` below, *if available*.
+# We request them explicitly below to ensure that we don't
+# quietly revert to CPU-only in the future, e.g. when CUDA 13
+# is released and CUDA 12 builds are dropped upstream.
+[tool.pixi.feature.cuda-backends]
+system-requirements = { cuda = "12" }
+
+[tool.pixi.feature.cuda-backends.target.linux-64.dependencies]
+cupy = ">=13.4.1"
+jaxlib = { version = ">=0.5.2", build = "cuda12*" }
+pytorch = { version = ">=2.6.0", build = "cuda12*" }
+
+[tool.pixi.feature.cuda-backends.target.osx-64.dependencies]
+# cupy = "*" # unavailable
+# jaxlib = { version = "*", build = "cuda12*" } # unavailable
+# pytorch = { version = "*", build = "cuda12*" } # unavailable
+
+[tool.pixi.feature.cuda-backends.target.osx-arm64.dependencies]
+# cupy = "*" # unavailable
+# jaxlib = { version = "*", build = "cuda12*" } # unavailable
+# pytorch = { version = "*", build = "cuda12*" } # unavailable
+
+[tool.pixi.feature.cuda-backends.target.win-64.dependencies]
+cupy = ">=13.4.1"
+# jaxlib = { version = "*", build = "cuda12*" } # unavailable
+pytorch = { version = ">=2.6.0", build = "cuda12*" }
+
[tool.pixi.environments]
-default = { solve-group = "default" }
-lint = { features = ["lint"], solve-group = "default" }
-tests = { features = ["tests"], solve-group = "default" }
-docs = { features = ["docs"], solve-group = "default" }
-dev = { features = ["lint", "tests", "docs", "dev"], solve-group = "default" }
-ci-py310 = ["py310", "tests"]
-ci-py313 = ["py313", "tests"]
+default = { features = ["py313"], solve-group = "py313" }
+lint = { features = ["py313", "lint"], solve-group = "py313" }
+docs = { features = ["py313", "docs"], solve-group = "py313" }
+tests = { features = ["py313", "tests"], solve-group = "py313" }
+tests-py313 = { features = ["py313", "tests"], solve-group = "py313" } # alias of tests
+
+# Some backends may pin numpy; use separate solve-group
+dev = { features = ["py310", "lint", "tests", "docs", "dev", "backends"], solve-group = "backends" }
+tests-backends = { features = ["py310", "tests", "backends"], solve-group = "backends" }
+
+# CUDA not available on free github actions and on some developers' PCs
+dev-cuda = { features = ["py310", "lint", "tests", "docs", "dev", "backends", "cuda-backends"], solve-group = "cuda" }
+tests-cuda = { features = ["py310", "tests", "backends", "cuda-backends"], solve-group = "cuda" }
+
+# Ungrouped environments
+tests-numpy1 = ["py310", "tests", "numpy1"]
+tests-py310 = ["py310", "tests"]
# pytest
@@ -138,12 +209,12 @@ ci-py313 = ["py313", "tests"]
minversion = "6.0"
addopts = ["-ra", "--showlocals", "--strict-markers", "--strict-config"]
xfail_strict = true
-filterwarnings = [
- "error",
-]
+filterwarnings = ["error"]
log_cli_level = "INFO"
-testpaths = [
- "tests",
+testpaths = ["tests"]
+markers = [
+ "skip_xp_backend(library, /, *, reason=None): Skip test for a specific backend",
+ "xfail_xp_backend(library, /, *, reason=None, strict=None): Xfail test for a specific backend",
]
@@ -151,11 +222,6 @@ testpaths = [
[tool.coverage]
run.source = ["array_api_extra"]
-report.exclude_also = [
- '\.\.\.',
- 'if typing.TYPE_CHECKING:',
-]
-
# mypy
@@ -164,18 +230,16 @@ files = ["src", "tests"]
python_version = "3.10"
warn_unused_configs = true
strict = true
-enable_error_code = ["ignore-without-code", "redundant-expr", "truthy-bool"]
-warn_unreachable = true
-disallow_untyped_defs = false
-disallow_incomplete_defs = false
-# data-apis/array-api#589
+enable_error_code = ["ignore-without-code", "truthy-bool"]
+# https://github.com/data-apis/array-api-typing
disallow_any_expr = false
+# false positives with input validation
+disable_error_code = ["redundant-expr", "unreachable", "no-any-return"]
[[tool.mypy.overrides]]
-module = "array_api_extra.*"
-disallow_untyped_defs = true
-disallow_incomplete_defs = true
-
+# slow/unavailable on Windows; do not add to the lint env
+module = ["dask.*", "jax.*", "torch.*"]
+ignore_missing_imports = true
# pyright
@@ -185,65 +249,101 @@ pythonVersion = "3.10"
pythonPlatform = "All"
typeCheckingMode = "all"
-# data-apis/array-api#589
+# https://github.com/data-apis/array-api-typing
reportAny = false
reportExplicitAny = false
-# data-apis/array-api-strict#6
+# no array-api-strict type stubs; pytest fixtures
reportUnknownMemberType = false
+# no array-api-compat type stubs; pytest fixtures
+reportUnknownVariableType = false
+# Redundant with mypy checks
+reportMissingImports = false
+reportMissingTypeStubs = false
+# false positives for input validation
+reportUnreachable = false
+# ruff handles this
+reportUnusedParameter = false
+# cyclic imports inside function bodies
+reportImportCycles = false
+# PyRight can't trace types in lambdas
+reportUnknownLambdaType = false
+
+executionEnvironments = [
+ { root = "tests", reportPrivateUsage = false },
+ { root = "src" },
+]
# Ruff
[tool.ruff]
-target-version = "py39"
+target-version = "py310"
[tool.ruff.lint]
extend-select = [
- "B", # flake8-bugbear
- "I", # isort
- "ARG", # flake8-unused-arguments
- "C4", # flake8-comprehensions
- "EM", # flake8-errmsg
- "ICN", # flake8-import-conventions
- "G", # flake8-logging-format
- "PGH", # pygrep-hooks
- "PIE", # flake8-pie
- "PL", # pylint
- "PT", # flake8-pytest-style
- "PTH", # flake8-use-pathlib
- "RET", # flake8-return
- "RUF", # Ruff-specific
- "SIM", # flake8-simplify
- "T20", # flake8-print
- "UP", # pyupgrade
- "YTT", # flake8-2020
- "EXE", # flake8-executable
- "NPY", # NumPy specific rules
- "PD", # pandas-vet
+ "B", # flake8-bugbear
+ "F", # Pyflakes
+ "I", # isort
+ "E", # Pycodestyle
+ "W", # Pycodestyle
+ "N", # pep8-naming
+ "ARG", # flake8-unused-arguments
+ "C4", # flake8-comprehensions
+ "EM", # flake8-errmsg
+ "ICN", # flake8-import-conventions
+ "ISC", # flake8-implicit-str-concat
+ "G", # flake8-logging-format
+ "PGH", # pygrep-hooks
+ "PIE", # flake8-pie
+ "PL", # pylint
+ "PT", # flake8-pytest-style
+ "PTH", # flake8-use-pathlib
+ "RET", # flake8-return
+ "RUF", # Ruff-specific
+ "SIM", # flake8-simplify
+ "T20", # flake8-print
+ "UP", # pyupgrade
+ "YTT", # flake8-2020
+ "EXE", # flake8-executable
+ "NPY", # NumPy specific rules
+ "PD", # pandas-vet
+ "UP", # Pyupgrade
]
ignore = [
- "PLR09", # Too many <...>
- "PLR2004", # Magic value used in comparison
- "ISC001", # Conflicts with formatter
+ "PLR09", # Too many <...>
+ "PLR2004", # Magic value used in comparison
+ "ISC001", # Conflicts with formatter
+ "N801", # Class name should use CapWords convention
+ "N802", # Function name should be lowercase
+ "N806", # Variable in function should be lowercase
]
-isort.required-imports = ["from __future__ import annotations"]
-
-[tool.ruff.lint.per-file-ignores]
-"tests/**" = ["T20"]
# Pylint
[tool.pylint]
py-version = "3.10"
-ignore-paths = [".*/_version.py"]
reports.output-format = "colorized"
-similarities.ignore-imports = "yes"
messages_control.disable = [
- "design",
- "fixme",
- "line-too-long",
- "missing-module-docstring",
- "missing-function-docstring",
- "wrong-import-position",
+ "design", # ignore heavily opinionated design checks
+ "fixme", #Β allow FIXME comments
+ "line-too-long", # ruff handles this
+ "unused-argument", # ruff handles this
+ "missing-function-docstring", # numpydoc handles this
+ "import-error", # mypy handles this
+ "import-outside-toplevel", # optional dependencies
+]
+
+
+# numpydoc
+
+[tool.numpydoc_validation]
+checks = [
+ "all", # report on all checks, except the below
+ "EX01", # most docstrings do not need an example
+ "SA01", # data-apis/array-api-extra#87
+ "ES01", # most docstrings do not need an extended summary
+]
+exclude = [ # don't report on objects that match any of these regex
+ '.*test_*',
]
diff --git a/renovate.json b/renovate.json
new file mode 100644
index 00000000..c263292b
--- /dev/null
+++ b/renovate.json
@@ -0,0 +1,71 @@
+{
+ "$schema": "https://docs.renovatebot.com/renovate-schema.json",
+ "extends": [
+ "config:recommended",
+ "helpers:pinGitHubActionDigests",
+ ":automergeMinor"
+ ],
+ "dependencyDashboardTitle": "META: Dependency Dashboard",
+ "commitMessagePrefix": "deps:",
+ "labels": ["dependencies"],
+ "rangeStrategy": "bump",
+ "constraints": {
+ "pixi": ">=v0.45.0"
+ },
+ "minimumReleaseAge": "14 days",
+ "packageRules": [
+ {
+ "description": "Do not bump deps pinned with '~=' or '='.",
+ "matchManagers": ["pixi"],
+ "matchCurrentValue": "/^~?=/",
+ "enabled": false
+ },
+ {
+ "description": "Do not bump Python deps in the manifest or requires-python.",
+ "matchManagers": ["pixi", "pep621"],
+ "matchPackageNames": ["python"],
+ "enabled": false
+ },
+ {
+ "description": "Schedule automerged GHA updates for the 15th of each month.",
+ "matchManagers": ["github-actions"],
+ "groupName": "gha",
+ "schedule": ["* * 15 * *"],
+ "automerge": true
+ },
+ {
+ "description": "Block PRs for updates blocked on dropping Python 3.10.",
+ "matchManagers": ["pixi"],
+ "matchPackageNames": ["sphinx", "ipython", "sphinx-autodoc-typehints"],
+ "enabled": false
+ },
+ {
+ "description": "Waiting for Numba to support NumPy 2.2.",
+ "matchManagers": ["pixi"],
+ "matchPackageNames": ["numpy"],
+ "enabled": false
+ },
+ {
+ "description": "Block Python CI updates as setup-python lags behind (gh-194).",
+ "matchManagers": ["github-actions"],
+ "matchPackageNames": ["python"],
+ "enabled": false
+ },
+ {
+ "description": "Group Dask packages.",
+ "matchPackageNames": ["dask", "dask-core"],
+ "groupName": "dask"
+ },
+ {
+ "description": "Group JAX packages.",
+ "matchPackageNames": ["jax", "jaxlib"],
+ "groupName": "jax"
+ },
+ {
+ "description": "Schedule hypothesis monthly as releases are frequent.",
+ "matchManagers": ["pixi"],
+ "matchPackageNames": ["hypothesis"],
+ "schedule": ["* * 10 * *"]
+ }
+ ]
+}
diff --git a/src/array_api_extra/__init__.py b/src/array_api_extra/__init__.py
index 46b1388f..aa0a484a 100644
--- a/src/array_api_extra/__init__.py
+++ b/src/array_api_extra/__init__.py
@@ -1,17 +1,38 @@
-from __future__ import annotations
+"""Extra array functions built on top of the array API standard."""
-from ._funcs import atleast_nd, cov, create_diagonal, expand_dims, kron, setdiff1d, sinc
+from ._delegation import isclose, pad
+from ._lib._at import at
+from ._lib._funcs import (
+ apply_where,
+ atleast_nd,
+ broadcast_shapes,
+ cov,
+ create_diagonal,
+ expand_dims,
+ kron,
+ nunique,
+ setdiff1d,
+ sinc,
+)
+from ._lib._lazy import lazy_apply
-__version__ = "0.2.1.dev0"
+__version__ = "0.7.2.dev0"
# pylint: disable=duplicate-code
__all__ = [
"__version__",
+ "apply_where",
+ "at",
"atleast_nd",
+ "broadcast_shapes",
"cov",
"create_diagonal",
"expand_dims",
+ "isclose",
"kron",
+ "lazy_apply",
+ "nunique",
+ "pad",
"setdiff1d",
"sinc",
]
diff --git a/src/array_api_extra/_delegation.py b/src/array_api_extra/_delegation.py
new file mode 100644
index 00000000..b52c23ae
--- /dev/null
+++ b/src/array_api_extra/_delegation.py
@@ -0,0 +1,171 @@
+"""Delegation to existing implementations for Public API Functions."""
+
+from collections.abc import Sequence
+from types import ModuleType
+from typing import Literal
+
+from ._lib import _funcs
+from ._lib._utils._compat import (
+ array_namespace,
+ is_cupy_namespace,
+ is_dask_namespace,
+ is_jax_namespace,
+ is_numpy_namespace,
+ is_pydata_sparse_namespace,
+ is_torch_namespace,
+)
+from ._lib._utils._helpers import asarrays
+from ._lib._utils._typing import Array
+
+__all__ = ["isclose", "pad"]
+
+
+def isclose(
+ a: Array | complex,
+ b: Array | complex,
+ *,
+ rtol: float = 1e-05,
+ atol: float = 1e-08,
+ equal_nan: bool = False,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Return a boolean array where two arrays are element-wise equal within a tolerance.
+
+ The tolerance values are positive, typically very small numbers. The relative
+ difference ``(rtol * abs(b))`` and the absolute difference `atol` are added together
+ to compare against the absolute difference between `a` and `b`.
+
+ NaNs are treated as equal if they are in the same place and if ``equal_nan=True``.
+ Infs are treated as equal if they are in the same place and of the same sign in both
+ arrays.
+
+ Parameters
+ ----------
+ a, b : Array | int | float | complex | bool
+ Input objects to compare. At least one must be an array.
+ rtol : array_like, optional
+ The relative tolerance parameter (see Notes).
+ atol : array_like, optional
+ The absolute tolerance parameter (see Notes).
+ equal_nan : bool, optional
+ Whether to compare NaN's as equal. If True, NaN's in `a` will be considered
+ equal to NaN's in `b` in the output array.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `a` and `b`. Default: infer.
+
+ Returns
+ -------
+ Array
+ A boolean array of shape broadcasted from `a` and `b`, containing ``True`` where
+ `a` is close to `b`, and ``False`` otherwise.
+
+ Warnings
+ --------
+ The default `atol` is not appropriate for comparing numbers with magnitudes much
+ smaller than one (see notes).
+
+ See Also
+ --------
+ math.isclose : Similar function in stdlib for Python scalars.
+
+ Notes
+ -----
+ For finite values, `isclose` uses the following equation to test whether two
+ floating point values are equivalent::
+
+ absolute(a - b) <= (atol + rtol * absolute(b))
+
+ Unlike the built-in `math.isclose`,
+ the above equation is not symmetric in `a` and `b`,
+ so that ``isclose(a, b)`` might be different from ``isclose(b, a)`` in some rare
+ cases.
+
+ The default value of `atol` is not appropriate when the reference value `b` has
+ magnitude smaller than one. For example, it is unlikely that ``a = 1e-9`` and
+ ``b = 2e-9`` should be considered "close", yet ``isclose(1e-9, 2e-9)`` is ``True``
+ with default settings. Be sure to select `atol` for the use case at hand, especially
+ for defining the threshold below which a non-zero value in `a` will be considered
+ "close" to a very small or zero value in `b`.
+
+ The comparison of `a` and `b` uses standard broadcasting, which means that `a` and
+ `b` need not have the same shape in order for ``isclose(a, b)`` to evaluate to
+ ``True``.
+
+ `isclose` is not defined for non-numeric data types.
+ ``bool`` is considered a numeric data-type for this purpose.
+ """
+ xp = array_namespace(a, b) if xp is None else xp
+
+ if (
+ is_numpy_namespace(xp)
+ or is_cupy_namespace(xp)
+ or is_dask_namespace(xp)
+ or is_jax_namespace(xp)
+ ):
+ return xp.isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan)
+
+ if is_torch_namespace(xp):
+ a, b = asarrays(a, b, xp=xp) # Array API 2024.12 support
+ return xp.isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan)
+
+ return _funcs.isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan, xp=xp)
+
+
+def pad(
+ x: Array,
+ pad_width: int | tuple[int, int] | Sequence[tuple[int, int]],
+ mode: Literal["constant"] = "constant",
+ *,
+ constant_values: complex = 0,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Pad the input array.
+
+ Parameters
+ ----------
+ x : array
+ Input array.
+ pad_width : int or tuple of ints or sequence of pairs of ints
+ Pad the input array with this many elements from each side.
+ If a sequence of tuples, ``[(before_0, after_0), ... (before_N, after_N)]``,
+ each pair applies to the corresponding axis of ``x``.
+ A single tuple, ``(before, after)``, is equivalent to a list of ``x.ndim``
+ copies of this tuple.
+ mode : str, optional
+ Only "constant" mode is currently supported, which pads with
+ the value passed to `constant_values`.
+ constant_values : python scalar, optional
+ Use this value to pad the input. Default is zero.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ array
+ The input array,
+ padded with ``pad_width`` elements equal to ``constant_values``.
+ """
+ xp = array_namespace(x) if xp is None else xp
+
+ if mode != "constant":
+ msg = "Only `'constant'` mode is currently supported"
+ raise NotImplementedError(msg)
+
+ if (
+ is_numpy_namespace(xp)
+ or is_cupy_namespace(xp)
+ or is_jax_namespace(xp)
+ or is_pydata_sparse_namespace(xp)
+ ):
+ return xp.pad(x, pad_width, mode, constant_values=constant_values)
+
+ # https://github.com/pytorch/pytorch/blob/cf76c05b4dc629ac989d1fb8e789d4fac04a095a/torch/_numpy/_funcs_impl.py#L2045-L2056
+ if is_torch_namespace(xp):
+ pad_width = xp.asarray(pad_width)
+ pad_width = xp.broadcast_to(pad_width, (x.ndim, 2))
+ pad_width = xp.flip(pad_width, axis=(0,)).flatten()
+ return xp.nn.functional.pad(x, tuple(pad_width), value=constant_values) # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+
+ return _funcs.pad(x, pad_width, constant_values=constant_values, xp=xp)
diff --git a/src/array_api_extra/_funcs.py b/src/array_api_extra/_funcs.py
deleted file mode 100644
index 4062c56f..00000000
--- a/src/array_api_extra/_funcs.py
+++ /dev/null
@@ -1,541 +0,0 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-import typing
-import warnings
-
-if typing.TYPE_CHECKING:
- from ._lib._typing import Array, ModuleType
-
-from ._lib import _utils
-
-__all__ = [
- "atleast_nd",
- "cov",
- "create_diagonal",
- "expand_dims",
- "kron",
- "setdiff1d",
- "sinc",
-]
-
-
-def atleast_nd(x: Array, /, *, ndim: int, xp: ModuleType) -> Array:
- """
- Recursively expand the dimension of an array to at least `ndim`.
-
- Parameters
- ----------
- x : array
- ndim : int
- The minimum number of dimensions for the result.
- xp : array_namespace
- The standard-compatible namespace for `x`.
-
- Returns
- -------
- res : array
- An array with ``res.ndim`` >= `ndim`.
- If ``x.ndim`` >= `ndim`, `x` is returned.
- If ``x.ndim`` < `ndim`, `x` is expanded by prepending new axes
- until ``res.ndim`` equals `ndim`.
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
- >>> x = xp.asarray([1])
- >>> xpx.atleast_nd(x, ndim=3, xp=xp)
- Array([[[1]]], dtype=array_api_strict.int64)
-
- >>> x = xp.asarray([[[1, 2],
- ... [3, 4]]])
- >>> xpx.atleast_nd(x, ndim=1, xp=xp) is x
- True
-
- """
- if x.ndim < ndim:
- x = xp.expand_dims(x, axis=0)
- x = atleast_nd(x, ndim=ndim, xp=xp)
- return x
-
-
-def cov(m: Array, /, *, xp: ModuleType) -> Array:
- """
- Estimate a covariance matrix.
-
- Covariance indicates the level to which two variables vary together.
- If we examine N-dimensional samples, :math:`X = [x_1, x_2, ... x_N]^T`,
- then the covariance matrix element :math:`C_{ij}` is the covariance of
- :math:`x_i` and :math:`x_j`. The element :math:`C_{ii}` is the variance
- of :math:`x_i`.
-
- This provides a subset of the functionality of ``numpy.cov``.
-
- Parameters
- ----------
- m : array
- A 1-D or 2-D array containing multiple variables and observations.
- Each row of `m` represents a variable, and each column a single
- observation of all those variables.
- xp : array_namespace
- The standard-compatible namespace for `m`.
-
- Returns
- -------
- res : array
- The covariance matrix of the variables.
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
-
- Consider two variables, :math:`x_0` and :math:`x_1`, which
- correlate perfectly, but in opposite directions:
-
- >>> x = xp.asarray([[0, 2], [1, 1], [2, 0]]).T
- >>> x
- Array([[0, 1, 2],
- [2, 1, 0]], dtype=array_api_strict.int64)
-
- Note how :math:`x_0` increases while :math:`x_1` decreases. The covariance
- matrix shows this clearly:
-
- >>> xpx.cov(x, xp=xp)
- Array([[ 1., -1.],
- [-1., 1.]], dtype=array_api_strict.float64)
-
-
- Note that element :math:`C_{0,1}`, which shows the correlation between
- :math:`x_0` and :math:`x_1`, is negative.
-
- Further, note how `x` and `y` are combined:
-
- >>> x = xp.asarray([-2.1, -1, 4.3])
- >>> y = xp.asarray([3, 1.1, 0.12])
- >>> X = xp.stack((x, y), axis=0)
- >>> xpx.cov(X, xp=xp)
- Array([[11.71 , -4.286 ],
- [-4.286 , 2.14413333]], dtype=array_api_strict.float64)
-
- >>> xpx.cov(x, xp=xp)
- Array(11.71, dtype=array_api_strict.float64)
-
- >>> xpx.cov(y, xp=xp)
- Array(2.14413333, dtype=array_api_strict.float64)
-
- """
- m = xp.asarray(m, copy=True)
- dtype = (
- xp.float64 if xp.isdtype(m.dtype, "integral") else xp.result_type(m, xp.float64)
- )
-
- m = atleast_nd(m, ndim=2, xp=xp)
- m = xp.astype(m, dtype)
-
- avg = _mean(m, axis=1, xp=xp)
- fact = m.shape[1] - 1
-
- if fact <= 0:
- warnings.warn("Degrees of freedom <= 0 for slice", RuntimeWarning, stacklevel=2)
- fact = 0.0
-
- m -= avg[:, None]
- m_transpose = m.T
- if xp.isdtype(m_transpose.dtype, "complex floating"):
- m_transpose = xp.conj(m_transpose)
- c = m @ m_transpose
- c /= fact
- axes = tuple(axis for axis, length in enumerate(c.shape) if length == 1)
- return xp.squeeze(c, axis=axes)
-
-
-def create_diagonal(x: Array, /, *, offset: int = 0, xp: ModuleType) -> Array:
- """
- Construct a diagonal array.
-
- Parameters
- ----------
- x : array
- A 1-D array
- offset : int, optional
- Offset from the leading diagonal (default is ``0``).
- Use positive ints for diagonals above the leading diagonal,
- and negative ints for diagonals below the leading diagonal.
- xp : array_namespace
- The standard-compatible namespace for `x`.
-
- Returns
- -------
- res : array
- A 2-D array with `x` on the diagonal (offset by `offset`).
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
- >>> x = xp.asarray([2, 4, 8])
-
- >>> xpx.create_diagonal(x, xp=xp)
- Array([[2, 0, 0],
- [0, 4, 0],
- [0, 0, 8]], dtype=array_api_strict.int64)
-
- >>> xpx.create_diagonal(x, offset=-2, xp=xp)
- Array([[0, 0, 0, 0, 0],
- [0, 0, 0, 0, 0],
- [2, 0, 0, 0, 0],
- [0, 4, 0, 0, 0],
- [0, 0, 8, 0, 0]], dtype=array_api_strict.int64)
-
- """
- if x.ndim != 1:
- err_msg = "`x` must be 1-dimensional."
- raise ValueError(err_msg)
- n = x.shape[0] + abs(offset)
- diag = xp.zeros(n**2, dtype=x.dtype)
- i = offset if offset >= 0 else abs(offset) * n
- diag[i : min(n * (n - offset), diag.shape[0]) : n + 1] = x
- return xp.reshape(diag, (n, n))
-
-
-def _mean(
- x: Array,
- /,
- *,
- axis: int | tuple[int, ...] | None = None,
- keepdims: bool = False,
- xp: ModuleType,
-) -> Array:
- """
- Complex mean, https://github.com/data-apis/array-api/issues/846.
- """
- if xp.isdtype(x.dtype, "complex floating"):
- x_real = xp.real(x)
- x_imag = xp.imag(x)
- mean_real = xp.mean(x_real, axis=axis, keepdims=keepdims)
- mean_imag = xp.mean(x_imag, axis=axis, keepdims=keepdims)
- return mean_real + (mean_imag * xp.asarray(1j))
- return xp.mean(x, axis=axis, keepdims=keepdims)
-
-
-def expand_dims(
- a: Array, /, *, axis: int | tuple[int, ...] = (0,), xp: ModuleType
-) -> Array:
- """
- Expand the shape of an array.
-
- Insert (a) new axis/axes that will appear at the position(s) specified by
- `axis` in the expanded array shape.
-
- This is ``xp.expand_dims`` for `axis` an int *or a tuple of ints*.
- Roughly equivalent to ``numpy.expand_dims`` for NumPy arrays.
-
- Parameters
- ----------
- a : array
- axis : int or tuple of ints, optional
- Position(s) in the expanded axes where the new axis (or axes) is/are placed.
- If multiple positions are provided, they should be unique (note that a position
- given by a positive index could also be referred to by a negative index -
- that will also result in an error).
- Default: ``(0,)``.
- xp : array_namespace
- The standard-compatible namespace for `a`.
-
- Returns
- -------
- res : array
- `a` with an expanded shape.
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
- >>> x = xp.asarray([1, 2])
- >>> x.shape
- (2,)
-
- The following is equivalent to ``x[xp.newaxis, :]`` or ``x[xp.newaxis]``:
-
- >>> y = xpx.expand_dims(x, axis=0, xp=xp)
- >>> y
- Array([[1, 2]], dtype=array_api_strict.int64)
- >>> y.shape
- (1, 2)
-
- The following is equivalent to ``x[:, xp.newaxis]``:
-
- >>> y = xpx.expand_dims(x, axis=1, xp=xp)
- >>> y
- Array([[1],
- [2]], dtype=array_api_strict.int64)
- >>> y.shape
- (2, 1)
-
- ``axis`` may also be a tuple:
-
- >>> y = xpx.expand_dims(x, axis=(0, 1), xp=xp)
- >>> y
- Array([[[1, 2]]], dtype=array_api_strict.int64)
-
- >>> y = xpx.expand_dims(x, axis=(2, 0), xp=xp)
- >>> y
- Array([[[1],
- [2]]], dtype=array_api_strict.int64)
-
- """
- if not isinstance(axis, tuple):
- axis = (axis,)
- ndim = a.ndim + len(axis)
- if axis != () and (min(axis) < -ndim or max(axis) >= ndim):
- err_msg = (
- f"a provided axis position is out of bounds for array of dimension {a.ndim}"
- )
- raise IndexError(err_msg)
- axis = tuple(dim % ndim for dim in axis)
- if len(set(axis)) != len(axis):
- err_msg = "Duplicate dimensions specified in `axis`."
- raise ValueError(err_msg)
- for i in sorted(axis):
- a = xp.expand_dims(a, axis=i)
- return a
-
-
-def kron(a: Array, b: Array, /, *, xp: ModuleType) -> Array:
- """
- Kronecker product of two arrays.
-
- Computes the Kronecker product, a composite array made of blocks of the
- second array scaled by the first.
-
- Equivalent to ``numpy.kron`` for NumPy arrays.
-
- Parameters
- ----------
- a, b : array
- xp : array_namespace
- The standard-compatible namespace for `a` and `b`.
-
- Returns
- -------
- res : array
- The Kronecker product of `a` and `b`.
-
- Notes
- -----
- The function assumes that the number of dimensions of `a` and `b`
- are the same, if necessary prepending the smallest with ones.
- If ``a.shape = (r0,r1,..,rN)`` and ``b.shape = (s0,s1,...,sN)``,
- the Kronecker product has shape ``(r0*s0, r1*s1, ..., rN*SN)``.
- The elements are products of elements from `a` and `b`, organized
- explicitly by::
-
- kron(a,b)[k0,k1,...,kN] = a[i0,i1,...,iN] * b[j0,j1,...,jN]
-
- where::
-
- kt = it * st + jt, t = 0,...,N
-
- In the common 2-D case (N=1), the block structure can be visualized::
-
- [[ a[0,0]*b, a[0,1]*b, ... , a[0,-1]*b ],
- [ ... ... ],
- [ a[-1,0]*b, a[-1,1]*b, ... , a[-1,-1]*b ]]
-
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
- >>> xpx.kron(xp.asarray([1, 10, 100]), xp.asarray([5, 6, 7]), xp=xp)
- Array([ 5, 6, 7, 50, 60, 70, 500,
- 600, 700], dtype=array_api_strict.int64)
-
- >>> xpx.kron(xp.asarray([5, 6, 7]), xp.asarray([1, 10, 100]), xp=xp)
- Array([ 5, 50, 500, 6, 60, 600, 7,
- 70, 700], dtype=array_api_strict.int64)
-
- >>> xpx.kron(xp.eye(2), xp.ones((2, 2)), xp=xp)
- Array([[1., 1., 0., 0.],
- [1., 1., 0., 0.],
- [0., 0., 1., 1.],
- [0., 0., 1., 1.]], dtype=array_api_strict.float64)
-
-
- >>> a = xp.reshape(xp.arange(100), (2, 5, 2, 5))
- >>> b = xp.reshape(xp.arange(24), (2, 3, 4))
- >>> c = xpx.kron(a, b, xp=xp)
- >>> c.shape
- (2, 10, 6, 20)
- >>> I = (1, 3, 0, 2)
- >>> J = (0, 2, 1)
- >>> J1 = (0,) + J # extend to ndim=4
- >>> S1 = (1,) + b.shape
- >>> K = tuple(xp.asarray(I) * xp.asarray(S1) + xp.asarray(J1))
- >>> c[K] == a[I]*b[J]
- Array(True, dtype=array_api_strict.bool)
-
- """
-
- b = xp.asarray(b)
- singletons = (1,) * (b.ndim - a.ndim)
- a = xp.broadcast_to(xp.asarray(a), singletons + a.shape)
-
- nd_b, nd_a = b.ndim, a.ndim
- nd_max = max(nd_b, nd_a)
- if nd_a == 0 or nd_b == 0:
- return xp.multiply(a, b)
-
- a_shape = a.shape
- b_shape = b.shape
-
- # Equalise the shapes by prepending smaller one with 1s
- a_shape = (1,) * max(0, nd_b - nd_a) + a_shape
- b_shape = (1,) * max(0, nd_a - nd_b) + b_shape
-
- # Insert empty dimensions
- a_arr = expand_dims(a, axis=tuple(range(nd_b - nd_a)), xp=xp)
- b_arr = expand_dims(b, axis=tuple(range(nd_a - nd_b)), xp=xp)
-
- # Compute the product
- a_arr = expand_dims(a_arr, axis=tuple(range(1, nd_max * 2, 2)), xp=xp)
- b_arr = expand_dims(b_arr, axis=tuple(range(0, nd_max * 2, 2)), xp=xp)
- result = xp.multiply(a_arr, b_arr)
-
- # Reshape back and return
- a_shape = xp.asarray(a_shape)
- b_shape = xp.asarray(b_shape)
- return xp.reshape(result, tuple(xp.multiply(a_shape, b_shape)))
-
-
-def setdiff1d(
- x1: Array, x2: Array, /, *, assume_unique: bool = False, xp: ModuleType
-) -> Array:
- """
- Find the set difference of two arrays.
-
- Return the unique values in `x1` that are not in `x2`.
-
- Parameters
- ----------
- x1 : array
- Input array.
- x2 : array
- Input comparison array.
- assume_unique : bool
- If ``True``, the input arrays are both assumed to be unique, which
- can speed up the calculation. Default is ``False``.
- xp : array_namespace
- The standard-compatible namespace for `x1` and `x2`.
-
- Returns
- -------
- res : array
- 1D array of values in `x1` that are not in `x2`. The result
- is sorted when `assume_unique` is ``False``, but otherwise only sorted
- if the input is sorted.
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
-
- >>> x1 = xp.asarray([1, 2, 3, 2, 4, 1])
- >>> x2 = xp.asarray([3, 4, 5, 6])
- >>> xpx.setdiff1d(x1, x2, xp=xp)
- Array([1, 2], dtype=array_api_strict.int64)
-
- """
-
- if assume_unique:
- x1 = xp.reshape(x1, (-1,))
- else:
- x1 = xp.unique_values(x1)
- x2 = xp.unique_values(x2)
- return x1[_utils.in1d(x1, x2, assume_unique=True, invert=True, xp=xp)]
-
-
-def sinc(x: Array, /, *, xp: ModuleType) -> Array:
- r"""
- Return the normalized sinc function.
-
- The sinc function is equal to :math:`\sin(\pi x)/(\pi x)` for any argument
- :math:`x\ne 0`. ``sinc(0)`` takes the limit value 1, making ``sinc`` not
- only everywhere continuous but also infinitely differentiable.
-
- .. note::
-
- Note the normalization factor of ``pi`` used in the definition.
- This is the most commonly used definition in signal processing.
- Use ``sinc(x / xp.pi)`` to obtain the unnormalized sinc function
- :math:`\sin(x)/x` that is more common in mathematics.
-
- Parameters
- ----------
- x : array
- Array (possibly multi-dimensional) of values for which to calculate
- ``sinc(x)``. Must have a real floating point dtype.
- xp : array_namespace
- The standard-compatible namespace for `x`.
-
- Returns
- -------
- res : array
- ``sinc(x)`` calculated elementwise, which has the same shape as the input.
-
- Notes
- -----
- The name sinc is short for "sine cardinal" or "sinus cardinalis".
-
- The sinc function is used in various signal processing applications,
- including in anti-aliasing, in the construction of a Lanczos resampling
- filter, and in interpolation.
-
- For bandlimited interpolation of discrete-time signals, the ideal
- interpolation kernel is proportional to the sinc function.
-
- References
- ----------
- #. Weisstein, Eric W. "Sinc Function." From MathWorld--A Wolfram Web
- Resource. https://mathworld.wolfram.com/SincFunction.html
- #. Wikipedia, "Sinc function",
- https://en.wikipedia.org/wiki/Sinc_function
-
- Examples
- --------
- >>> import array_api_strict as xp
- >>> import array_api_extra as xpx
- >>> x = xp.linspace(-4, 4, 41)
- >>> xpx.sinc(x, xp=xp)
- Array([-3.89817183e-17, -4.92362781e-02,
- -8.40918587e-02, -8.90384387e-02,
- -5.84680802e-02, 3.89817183e-17,
- 6.68206631e-02, 1.16434881e-01,
- 1.26137788e-01, 8.50444803e-02,
- -3.89817183e-17, -1.03943254e-01,
- -1.89206682e-01, -2.16236208e-01,
- -1.55914881e-01, 3.89817183e-17,
- 2.33872321e-01, 5.04551152e-01,
- 7.56826729e-01, 9.35489284e-01,
- 1.00000000e+00, 9.35489284e-01,
- 7.56826729e-01, 5.04551152e-01,
- 2.33872321e-01, 3.89817183e-17,
- -1.55914881e-01, -2.16236208e-01,
- -1.89206682e-01, -1.03943254e-01,
- -3.89817183e-17, 8.50444803e-02,
- 1.26137788e-01, 1.16434881e-01,
- 6.68206631e-02, 3.89817183e-17,
- -5.84680802e-02, -8.90384387e-02,
- -8.40918587e-02, -4.92362781e-02,
- -3.89817183e-17], dtype=array_api_strict.float64)
-
- """
- if not xp.isdtype(x.dtype, "real floating"):
- err_msg = "`x` must have a real floating data type."
- raise ValueError(err_msg)
- # no scalars in `where` - array-api#807
- y = xp.pi * xp.where(
- x, x, xp.asarray(xp.finfo(x.dtype).smallest_normal, dtype=x.dtype)
- )
- return xp.sin(y) / y
diff --git a/src/array_api_extra/_lib/__init__.py b/src/array_api_extra/_lib/__init__.py
new file mode 100644
index 00000000..d7b32033
--- /dev/null
+++ b/src/array_api_extra/_lib/__init__.py
@@ -0,0 +1 @@
+"""Internals of array-api-extra."""
diff --git a/src/array_api_extra/_lib/_at.py b/src/array_api_extra/_lib/_at.py
new file mode 100644
index 00000000..870884b8
--- /dev/null
+++ b/src/array_api_extra/_lib/_at.py
@@ -0,0 +1,463 @@
+"""Update operations for read-only arrays."""
+
+from __future__ import annotations
+
+import operator
+from collections.abc import Callable
+from enum import Enum
+from types import ModuleType
+from typing import TYPE_CHECKING, ClassVar, cast
+
+from ._utils import _compat
+from ._utils._compat import (
+ array_namespace,
+ is_dask_array,
+ is_jax_array,
+ is_torch_array,
+ is_writeable_array,
+)
+from ._utils._helpers import meta_namespace
+from ._utils._typing import Array, SetIndex
+
+if TYPE_CHECKING: # pragma: no cover
+ # TODO import from typing (requires Python >=3.11)
+ from typing_extensions import Self
+
+
+class _AtOp(Enum):
+ """Operations for use in `xpx.at`."""
+
+ SET = "set"
+ ADD = "add"
+ SUBTRACT = "subtract"
+ MULTIPLY = "multiply"
+ DIVIDE = "divide"
+ POWER = "power"
+ MIN = "min"
+ MAX = "max"
+
+ # @override from Python 3.12
+ def __str__(self) -> str: # type: ignore[explicit-override] # pyright: ignore[reportImplicitOverride]
+ """
+ Return string representation (useful for pytest logs).
+
+ Returns
+ -------
+ str
+ The operation's name.
+ """
+ return self.value
+
+
+class Undef(Enum):
+ """Sentinel for undefined values."""
+
+ UNDEF = 0
+
+
+_undef = Undef.UNDEF
+
+
+class at: # pylint: disable=invalid-name # numpydoc ignore=PR02
+ """
+ Update operations for read-only arrays.
+
+ This implements ``jax.numpy.ndarray.at`` for all writeable
+ backends (those that support ``__setitem__``) and routes
+ to the ``.at[]`` method for JAX arrays.
+
+ Parameters
+ ----------
+ x : array
+ Input array.
+ idx : index, optional
+ Only `array API standard compliant indices
+ `_
+ are supported.
+
+ You may use two alternate syntaxes::
+
+ >>> import array_api_extra as xpx
+ >>> xpx.at(x, idx).set(value) # or add(value), etc.
+ >>> xpx.at(x)[idx].set(value)
+
+ copy : bool, optional
+ None (default)
+ The array parameter *may* be modified in place if it is
+ possible and beneficial for performance.
+ You should not reuse it after calling this function.
+ True
+ Ensure that the inputs are not modified.
+ False
+ Ensure that the update operation writes back to the input.
+ Raise ``ValueError`` if a copy cannot be avoided.
+
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ Updated input array.
+
+ Warnings
+ --------
+ (a) When you omit the ``copy`` parameter, you should never reuse the parameter
+ array later on; ideally, you should reassign it immediately::
+
+ >>> import array_api_extra as xpx
+ >>> x = xpx.at(x, 0).set(2)
+
+ The above best practice pattern ensures that the behaviour won't change depending
+ on whether ``x`` is writeable or not, as the original ``x`` object is dereferenced
+ as soon as ``xpx.at`` returns; this way there is no risk to accidentally update it
+ twice.
+
+ On the reverse, the anti-pattern below must be avoided, as it will result in
+ different behaviour on read-only versus writeable arrays::
+
+ >>> x = xp.asarray([0, 0, 0])
+ >>> y = xpx.at(x, 0).set(2)
+ >>> z = xpx.at(x, 1).set(3)
+
+ In the above example, both calls to ``xpx.at`` update ``x`` in place *if possible*.
+ This causes the behaviour to diverge depending on whether ``x`` is writeable or not:
+
+ - If ``x`` is writeable, then after the snippet above you'll have
+ ``x == y == z == [2, 3, 0]``
+ - If ``x`` is read-only, then you'll end up with
+ ``x == [0, 0, 0]``, ``y == [2, 0, 0]`` and ``z == [0, 3, 0]``.
+
+ The correct pattern to use if you want diverging outputs from the same input is
+ to enforce copies::
+
+ >>> x = xp.asarray([0, 0, 0])
+ >>> y = xpx.at(x, 0).set(2, copy=True) # Never updates x
+ >>> z = xpx.at(x, 1).set(3) # May or may not update x in place
+ >>> del x # avoid accidental reuse of x as we don't know its state anymore
+
+ (b) The array API standard does not support integer array indices.
+ The behaviour of update methods when the index is an array of integers is
+ undefined and will vary between backends; this is particularly true when the
+ index contains multiple occurrences of the same index, e.g.::
+
+ >>> import numpy as np
+ >>> import jax.numpy as jnp
+ >>> import array_api_extra as xpx
+ >>> xpx.at(np.asarray([123]), np.asarray([0, 0])).add(1)
+ array([124])
+ >>> xpx.at(jnp.asarray([123]), jnp.asarray([0, 0])).add(1)
+ Array([125], dtype=int32)
+
+ See Also
+ --------
+ jax.numpy.ndarray.at : Equivalent array method in JAX.
+
+ Notes
+ -----
+ `sparse `_, as well as read-only arrays from libraries
+ not explicitly covered by ``array-api-compat``, are not supported by update
+ methods.
+
+ Boolean masks are supported on Dask and jitted JAX arrays exclusively
+ when `idx` has the same shape as `x` and `y` is 0-dimensional.
+ Note that this support is not available in JAX's native
+ ``x.at[mask].set(y)``.
+
+ This pattern::
+
+ >>> mask = m(x)
+ >>> x[mask] = f(x[mask])
+
+ Can't be replaced by `at`, as it won't work on Dask and JAX inside jax.jit::
+
+ >>> mask = m(x)
+ >>> x = xpx.at(x, mask).set(f(x[mask]) # Crash on Dask and jax.jit
+
+ You should instead use::
+
+ >>> x = xp.where(m(x), f(x), x)
+
+ Examples
+ --------
+ Given either of these equivalent expressions::
+
+ >>> import array_api_extra as xpx
+ >>> x = xpx.at(x)[1].add(2)
+ >>> x = xpx.at(x, 1).add(2)
+
+ If x is a JAX array, they are the same as::
+
+ >>> x = x.at[1].add(2)
+
+ If x is a read-only NumPy array, they are the same as::
+
+ >>> x = x.copy()
+ >>> x[1] += 2
+
+ For other known backends, they are the same as::
+
+ >>> x[1] += 2
+ """
+
+ _x: Array
+ _idx: SetIndex | Undef
+ __slots__: ClassVar[tuple[str, ...]] = ("_idx", "_x")
+
+ def __init__(
+ self, x: Array, idx: SetIndex | Undef = _undef, /
+ ) -> None: # numpydoc ignore=GL08
+ self._x = x
+ self._idx = idx
+
+ def __getitem__(self, idx: SetIndex, /) -> Self: # numpydoc ignore=PR01,RT01
+ """
+ Allow for the alternate syntax ``at(x)[start:stop:step]``.
+
+ It looks prettier than ``at(x, slice(start, stop, step))``
+ and feels more intuitive coming from the JAX documentation.
+ """
+ if self._idx is not _undef:
+ msg = "Index has already been set"
+ raise ValueError(msg)
+ return type(self)(self._x, idx)
+
+ def _op(
+ self,
+ at_op: _AtOp,
+ in_place_op: Callable[[Array, Array | complex], Array] | None,
+ out_of_place_op: Callable[[Array, Array], Array] | None,
+ y: Array | complex,
+ /,
+ copy: bool | None,
+ xp: ModuleType | None,
+ ) -> Array:
+ """
+ Implement all update operations.
+
+ Parameters
+ ----------
+ at_op : _AtOp
+ Method of JAX's Array.at[].
+ in_place_op : Callable[[Array, Array | complex], Array] | None
+ In-place operation to apply on mutable backends::
+
+ x[idx] = in_place_op(x[idx], y)
+
+ If None::
+
+ x[idx] = y
+
+ out_of_place_op : Callable[[Array, Array], Array] | None
+ Out-of-place operation to apply when idx is a boolean mask and the backend
+ doesn't support in-place updates::
+
+ x = xp.where(idx, out_of_place_op(x, y), x)
+
+ If None::
+
+ x = xp.where(idx, y, x)
+
+ y : array or complex
+ Right-hand side of the operation.
+ copy : bool or None
+ Whether to copy the input array. See the class docstring for details.
+ xp : array_namespace, optional
+ The array namespace for the input array. Default: infer.
+
+ Returns
+ -------
+ Array
+ Updated `x`.
+ """
+ from ._funcs import apply_where # pylint: disable=cyclic-import
+
+ x, idx = self._x, self._idx
+ xp = array_namespace(x, y) if xp is None else xp
+
+ if isinstance(idx, Undef):
+ msg = (
+ "Index has not been set.\n"
+ "Usage: either\n"
+ " at(x, idx).set(value)\n"
+ "or\n"
+ " at(x)[idx].set(value)\n"
+ "(same for all other methods)."
+ )
+ raise ValueError(msg)
+
+ if copy not in (True, False, None):
+ msg = f"copy must be True, False, or None; got {copy!r}"
+ raise ValueError(msg)
+
+ writeable = None if copy else is_writeable_array(x)
+
+ # JAX inside jax.jit doesn't support in-place updates with boolean
+ # masks; Dask exclusively supports __setitem__ but not iops.
+ # We can handle the common special case of 0-dimensional y
+ # with where(idx, y, x) instead.
+ if (
+ (is_dask_array(idx) or is_jax_array(idx))
+ and idx.dtype == xp.bool
+ and idx.shape == x.shape
+ ):
+ y_xp = xp.asarray(y, dtype=x.dtype, device=_compat.device(x))
+ if y_xp.ndim == 0:
+ if out_of_place_op: # add(), subtract(), ...
+ # suppress inf warnings on Dask
+ out = apply_where(
+ idx, (x, y_xp), out_of_place_op, fill_value=x, xp=xp
+ )
+ # Undo int->float promotion on JAX after _AtOp.DIVIDE
+ out = xp.astype(out, x.dtype, copy=False)
+ else: # set()
+ out = xp.where(idx, y_xp, x)
+
+ if copy is False:
+ x[()] = out
+ return x
+ return out
+
+ # else: this will work on eager JAX and crash on jax.jit and Dask
+
+ if copy or (copy is None and not writeable):
+ if is_jax_array(x):
+ # Use JAX's at[]
+ func = cast(
+ Callable[[Array | complex], Array],
+ getattr(x.at[idx], at_op.value), # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue,reportUnknownArgumentType]
+ )
+ out = func(y)
+ # Undo int->float promotion on JAX after _AtOp.DIVIDE
+ return xp.astype(out, x.dtype, copy=False)
+
+ # Emulate at[] behaviour for non-JAX arrays
+ # with a copy followed by an update
+
+ x = xp.asarray(x, copy=True)
+ # A copy of a read-only numpy array is writeable
+ # Note: this assumes that a copy of a writeable array is writeable
+ assert not writeable
+ writeable = None
+
+ if writeable is None:
+ writeable = is_writeable_array(x)
+ if not writeable:
+ # sparse crashes here
+ msg = f"Can't update read-only array {x}"
+ raise ValueError(msg)
+
+ # Work around bug in PyTorch where __setitem__ doesn't
+ # always support mismatched dtypes
+ # https://github.com/pytorch/pytorch/issues/150017
+ if is_torch_array(y):
+ y = xp.astype(y, x.dtype, copy=False)
+
+ # Backends without boolean indexing (other than JAX) crash here
+ if in_place_op: # add(), subtract(), ...
+ x[idx] = in_place_op(x[idx], y)
+ else: # set()
+ x[idx] = y
+ return x
+
+ def set(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] = y`` and return the update array."""
+ return self._op(_AtOp.SET, None, None, y, copy=copy, xp=xp)
+
+ def add(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] += y`` and return the updated array."""
+
+ # Note for this and all other methods based on _iop:
+ # operator.iadd and operator.add subtly differ in behaviour, as
+ # only iadd will trigger exceptions when y has an incompatible dtype.
+ return self._op(_AtOp.ADD, operator.iadd, operator.add, y, copy=copy, xp=xp)
+
+ def subtract(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] -= y`` and return the updated array."""
+ return self._op(
+ _AtOp.SUBTRACT, operator.isub, operator.sub, y, copy=copy, xp=xp
+ )
+
+ def multiply(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] *= y`` and return the updated array."""
+ return self._op(
+ _AtOp.MULTIPLY, operator.imul, operator.mul, y, copy=copy, xp=xp
+ )
+
+ def divide(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] /= y`` and return the updated array."""
+ return self._op(
+ _AtOp.DIVIDE, operator.itruediv, operator.truediv, y, copy=copy, xp=xp
+ )
+
+ def power(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] **= y`` and return the updated array."""
+ return self._op(_AtOp.POWER, operator.ipow, operator.pow, y, copy=copy, xp=xp)
+
+ def min(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] = minimum(x[idx], y)`` and return the updated array."""
+ # On Dask, this function runs on the chunks, so we need to determine the
+ # namespace that Dask is wrapping.
+ # Note that da.minimum _incidentally_ works on NumPy, CuPy, and sparse
+ # thanks to all these meta-namespaces implementing the __array_ufunc__
+ # interface, but there's no guarantee that it will work for other
+ # wrapped libraries in the future.
+ xp = array_namespace(self._x) if xp is None else xp
+ mxp = meta_namespace(self._x, xp=xp)
+ y = xp.asarray(y)
+ return self._op(_AtOp.MIN, mxp.minimum, mxp.minimum, y, copy=copy, xp=xp)
+
+ def max(
+ self,
+ y: Array | complex,
+ /,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+ ) -> Array: # numpydoc ignore=PR01,RT01
+ """Apply ``x[idx] = maximum(x[idx], y)`` and return the updated array."""
+ # See note on min()
+ xp = array_namespace(self._x) if xp is None else xp
+ mxp = meta_namespace(self._x, xp=xp)
+ y = xp.asarray(y)
+ return self._op(_AtOp.MAX, mxp.maximum, mxp.maximum, y, copy=copy, xp=xp)
diff --git a/src/array_api_extra/_lib/_backends.py b/src/array_api_extra/_lib/_backends.py
new file mode 100644
index 00000000..f64e1479
--- /dev/null
+++ b/src/array_api_extra/_lib/_backends.py
@@ -0,0 +1,46 @@
+"""Backends against which array-api-extra runs its tests."""
+
+from __future__ import annotations
+
+from enum import Enum
+
+__all__ = ["Backend"]
+
+
+class Backend(Enum): # numpydoc ignore=PR02
+ """
+ All array library backends explicitly tested by array-api-extra.
+
+ Parameters
+ ----------
+ value : str
+ Tag of the backend's module, in the format ``[:]``.
+ """
+
+ # Use : to prevent Enum from deduplicating items with the same value
+ ARRAY_API_STRICT = "array_api_strict"
+ ARRAY_API_STRICTEST = "array_api_strict:strictest"
+ NUMPY = "numpy"
+ NUMPY_READONLY = "numpy:readonly"
+ CUPY = "cupy"
+ TORCH = "torch"
+ TORCH_GPU = "torch:gpu"
+ DASK = "dask.array"
+ SPARSE = "sparse"
+ JAX = "jax.numpy"
+ JAX_GPU = "jax.numpy:gpu"
+
+ def __str__(self) -> str: # type: ignore[explicit-override] # pyright: ignore[reportImplicitOverride] # numpydoc ignore=RT01
+ """Pretty-print parameterized test names."""
+ return (
+ self.name.lower().replace("_gpu", ":gpu").replace("_readonly", ":readonly")
+ )
+
+ @property
+ def modname(self) -> str: # numpydoc ignore=RT01
+ """Module name to be imported."""
+ return self.value.split(":")[0]
+
+ def like(self, *others: Backend) -> bool: # numpydoc ignore=PR01,RT01
+ """Check if this backend uses the same module as others."""
+ return any(self.modname == other.modname for other in others)
diff --git a/src/array_api_extra/_lib/_compat.py b/src/array_api_extra/_lib/_compat.py
deleted file mode 100644
index b9577ff3..00000000
--- a/src/array_api_extra/_lib/_compat.py
+++ /dev/null
@@ -1,168 +0,0 @@
-### Helpers borrowed from array-api-compat
-
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-import inspect
-import sys
-import typing
-
-from typing_extensions import override
-
-if typing.TYPE_CHECKING:
- from ._typing import Array, Device
-
-__all__ = ["device"]
-
-
-# Placeholder object to represent the dask device
-# when the array backend is not the CPU.
-# (since it is not easy to tell which device a dask array is on)
-class _dask_device: # pylint: disable=invalid-name
- @override
- def __repr__(self) -> str:
- return "DASK_DEVICE"
-
-
-_DASK_DEVICE = _dask_device()
-
-
-# device() is not on numpy.ndarray or dask.array and to_device() is not on numpy.ndarray
-# or cupy.ndarray. They are not included in array objects of this library
-# because this library just reuses the respective ndarray classes without
-# wrapping or subclassing them. These helper functions can be used instead of
-# the wrapper functions for libraries that need to support both NumPy/CuPy and
-# other libraries that use devices.
-def device(x: Array, /) -> Device:
- """
- Hardware device the array data resides on.
-
- This is equivalent to `x.device` according to the `standard
- `__.
- This helper is included because some array libraries either do not have
- the `device` attribute or include it with an incompatible API.
-
- Parameters
- ----------
- x: array
- array instance from an array API compatible library.
-
- Returns
- -------
- out: device
- a ``device`` object (see the `Device Support `__
- section of the array API specification).
-
- Notes
- -----
-
- For NumPy the device is always `"cpu"`. For Dask, the device is always a
- special `DASK_DEVICE` object.
-
- See Also
- --------
-
- to_device : Move array data to a different device.
-
- """
- if _is_numpy_array(x):
- return "cpu"
- if _is_dask_array(x):
- # Peek at the metadata of the jax array to determine type
- try:
- import numpy as np # pylint: disable=import-outside-toplevel
-
- if isinstance(x._meta, np.ndarray): # pylint: disable=protected-access
- # Must be on CPU since backed by numpy
- return "cpu"
- except ImportError:
- pass
- return _DASK_DEVICE
- if _is_jax_array(x):
- # JAX has .device() as a method, but it is being deprecated so that it
- # can become a property, in accordance with the standard. In order for
- # this function to not break when JAX makes the flip, we check for
- # both here.
- if inspect.ismethod(x.device):
- return x.device()
- return x.device
- if _is_pydata_sparse_array(x):
- # `sparse` will gain `.device`, so check for this first.
- x_device = getattr(x, "device", None)
- if x_device is not None:
- return x_device
- # Everything but DOK has this attr.
- try:
- inner = x.data
- except AttributeError:
- return "cpu"
- # Return the device of the constituent array
- return device(inner)
- return x.device
-
-
-def _is_numpy_array(x: Array) -> bool:
- """Return True if `x` is a NumPy array."""
- # Avoid importing NumPy if it isn't already
- if "numpy" not in sys.modules:
- return False
-
- import numpy as np # pylint: disable=import-outside-toplevel
-
- # TODO: Should we reject ndarray subclasses?
- return isinstance(x, (np.ndarray, np.generic)) and not _is_jax_zero_gradient_array(
- x
- )
-
-
-def _is_dask_array(x: Array) -> bool:
- """Return True if `x` is a dask.array Array."""
- # Avoid importing dask if it isn't already
- if "dask.array" not in sys.modules:
- return False
-
- # pylint: disable=import-error, import-outside-toplevel
- import dask.array # type: ignore[import-not-found] # pyright: ignore[reportMissingImports]
-
- return isinstance(x, dask.array.Array)
-
-
-def _is_jax_zero_gradient_array(x: Array) -> bool:
- """Return True if `x` is a zero-gradient array.
-
- These arrays are a design quirk of Jax that may one day be removed.
- See https://github.com/google/jax/issues/20620.
- """
- if "numpy" not in sys.modules or "jax" not in sys.modules:
- return False
-
- # pylint: disable=import-error, import-outside-toplevel
- import jax # type: ignore[import-not-found] # pyright: ignore[reportMissingImports]
- import numpy as np # pylint: disable=import-outside-toplevel
-
- return isinstance(x, np.ndarray) and x.dtype == jax.float0 # pyright: ignore[reportUnknownVariableType]
-
-
-def _is_jax_array(x: Array) -> bool:
- """Return True if `x` is a JAX array."""
- # Avoid importing jax if it isn't already
- if "jax" not in sys.modules:
- return False
-
- # pylint: disable=import-error, import-outside-toplevel
- import jax # pyright: ignore[reportMissingImports]
-
- return isinstance(x, jax.Array) or _is_jax_zero_gradient_array(x)
-
-
-def _is_pydata_sparse_array(x: Array) -> bool:
- """Return True if `x` is an array from the `sparse` package."""
-
- # Avoid importing jax if it isn't already
- if "sparse" not in sys.modules:
- return False
-
- # pylint: disable=import-error, import-outside-toplevel
- import sparse # type: ignore[import-not-found] # pyright: ignore[reportMissingImports]
-
- # TODO: Account for other backends.
- return isinstance(x, sparse.SparseArray)
diff --git a/src/array_api_extra/_lib/_funcs.py b/src/array_api_extra/_lib/_funcs.py
new file mode 100644
index 00000000..e552392b
--- /dev/null
+++ b/src/array_api_extra/_lib/_funcs.py
@@ -0,0 +1,936 @@
+"""Array-agnostic implementations for the public API."""
+
+import math
+import warnings
+from collections.abc import Callable, Sequence
+from types import ModuleType, NoneType
+from typing import cast, overload
+
+from ._at import at
+from ._utils import _compat, _helpers
+from ._utils._compat import array_namespace, is_dask_namespace, is_jax_array
+from ._utils._helpers import (
+ asarrays,
+ capabilities,
+ eager_shape,
+ meta_namespace,
+ ndindex,
+)
+from ._utils._typing import Array
+
+__all__ = [
+ "apply_where",
+ "atleast_nd",
+ "broadcast_shapes",
+ "cov",
+ "create_diagonal",
+ "expand_dims",
+ "kron",
+ "nunique",
+ "pad",
+ "setdiff1d",
+ "sinc",
+]
+
+
+@overload
+def apply_where( # type: ignore[explicit-any,decorated-any] # numpydoc ignore=GL08
+ cond: Array,
+ args: Array | tuple[Array, ...],
+ f1: Callable[..., Array],
+ f2: Callable[..., Array],
+ /,
+ *,
+ xp: ModuleType | None = None,
+) -> Array: ...
+
+
+@overload
+def apply_where( # type: ignore[explicit-any,decorated-any] # numpydoc ignore=GL08
+ cond: Array,
+ args: Array | tuple[Array, ...],
+ f1: Callable[..., Array],
+ /,
+ *,
+ fill_value: Array | complex,
+ xp: ModuleType | None = None,
+) -> Array: ...
+
+
+def apply_where( # type: ignore[explicit-any] # numpydoc ignore=PR01,PR02
+ cond: Array,
+ args: Array | tuple[Array, ...],
+ f1: Callable[..., Array],
+ f2: Callable[..., Array] | None = None,
+ /,
+ *,
+ fill_value: Array | complex | None = None,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Run one of two elementwise functions depending on a condition.
+
+ Equivalent to ``f1(*args) if cond else fill_value`` performed elementwise
+ when `fill_value` is defined, otherwise to ``f1(*args) if cond else f2(*args)``.
+
+ Parameters
+ ----------
+ cond : array
+ The condition, expressed as a boolean array.
+ args : Array or tuple of Arrays
+ Argument(s) to `f1` (and `f2`). Must be broadcastable with `cond`.
+ f1 : callable
+ Elementwise function of `args`, returning a single array.
+ Where `cond` is True, output will be ``f1(arg0[cond], arg1[cond], ...)``.
+ f2 : callable, optional
+ Elementwise function of `args`, returning a single array.
+ Where `cond` is False, output will be ``f2(arg0[cond], arg1[cond], ...)``.
+ Mutually exclusive with `fill_value`.
+ fill_value : Array or scalar, optional
+ If provided, value with which to fill output array where `cond` is False.
+ It does not need to be scalar; it needs however to be broadcastable with
+ `cond` and `args`.
+ Mutually exclusive with `f2`. You must provide one or the other.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `cond` and `args`. Default: infer.
+
+ Returns
+ -------
+ Array
+ An array with elements from the output of `f1` where `cond` is True and either
+ the output of `f2` or `fill_value` where `cond` is False. The returned array has
+ data type determined by type promotion rules between the output of `f1` and
+ either `fill_value` or the output of `f2`.
+
+ Notes
+ -----
+ ``xp.where(cond, f1(*args), f2(*args))`` requires explicitly evaluating `f1` even
+ when `cond` is False, and `f2` when cond is True. This function evaluates each
+ function only for their matching condition, if the backend allows for it.
+
+ On Dask, `f1` and `f2` are applied to the individual chunks and should use functions
+ from the namespace of the chunks.
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> a = xp.asarray([5, 4, 3])
+ >>> b = xp.asarray([0, 2, 2])
+ >>> def f(a, b):
+ ... return a // b
+ >>> xpx.apply_where(b != 0, (a, b), f, fill_value=xp.nan)
+ array([ nan, 2., 1.])
+ """
+ # Parse and normalize arguments
+ if (f2 is None) == (fill_value is None):
+ msg = "Exactly one of `fill_value` or `f2` must be given."
+ raise TypeError(msg)
+ args_ = list(args) if isinstance(args, tuple) else [args]
+ del args
+
+ xp = array_namespace(cond, fill_value, *args_) if xp is None else xp
+
+ if isinstance(fill_value, int | float | complex | NoneType):
+ cond, *args_ = xp.broadcast_arrays(cond, *args_)
+ else:
+ cond, fill_value, *args_ = xp.broadcast_arrays(cond, fill_value, *args_)
+
+ if is_dask_namespace(xp):
+ meta_xp = meta_namespace(cond, fill_value, *args_, xp=xp)
+ # map_blocks doesn't descend into tuples of Arrays
+ return xp.map_blocks(_apply_where, cond, f1, f2, fill_value, *args_, xp=meta_xp)
+ return _apply_where(cond, f1, f2, fill_value, *args_, xp=xp)
+
+
+def _apply_where( # type: ignore[explicit-any] # numpydoc ignore=PR01,RT01
+ cond: Array,
+ f1: Callable[..., Array],
+ f2: Callable[..., Array] | None,
+ fill_value: Array | int | float | complex | bool | None,
+ *args: Array,
+ xp: ModuleType,
+) -> Array:
+ """Helper of `apply_where`. On Dask, this runs on a single chunk."""
+
+ if not capabilities(xp)["boolean indexing"]:
+ # jax.jit does not support assignment by boolean mask
+ return xp.where(cond, f1(*args), f2(*args) if f2 is not None else fill_value)
+
+ temp1 = f1(*(arr[cond] for arr in args))
+
+ if f2 is None:
+ dtype = xp.result_type(temp1, fill_value)
+ if isinstance(fill_value, int | float | complex):
+ out = xp.full_like(cond, dtype=dtype, fill_value=fill_value)
+ else:
+ out = xp.astype(fill_value, dtype, copy=True)
+ else:
+ ncond = ~cond
+ temp2 = f2(*(arr[ncond] for arr in args))
+ dtype = xp.result_type(temp1, temp2)
+ out = xp.empty_like(cond, dtype=dtype)
+ out = at(out, ncond).set(temp2)
+
+ return at(out, cond).set(temp1)
+
+
+def atleast_nd(x: Array, /, *, ndim: int, xp: ModuleType | None = None) -> Array:
+ """
+ Recursively expand the dimension of an array to at least `ndim`.
+
+ Parameters
+ ----------
+ x : array
+ Input array.
+ ndim : int
+ The minimum number of dimensions for the result.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ array
+ An array with ``res.ndim`` >= `ndim`.
+ If ``x.ndim`` >= `ndim`, `x` is returned.
+ If ``x.ndim`` < `ndim`, `x` is expanded by prepending new axes
+ until ``res.ndim`` equals `ndim`.
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> x = xp.asarray([1])
+ >>> xpx.atleast_nd(x, ndim=3, xp=xp)
+ Array([[[1]]], dtype=array_api_strict.int64)
+
+ >>> x = xp.asarray([[[1, 2],
+ ... [3, 4]]])
+ >>> xpx.atleast_nd(x, ndim=1, xp=xp) is x
+ True
+ """
+ if xp is None:
+ xp = array_namespace(x)
+
+ if x.ndim < ndim:
+ x = xp.expand_dims(x, axis=0)
+ x = atleast_nd(x, ndim=ndim, xp=xp)
+ return x
+
+
+# `float` in signature to accept `math.nan` for Dask.
+# `int`s are still accepted as `float` is a superclass of `int` in typing
+def broadcast_shapes(*shapes: tuple[float | None, ...]) -> tuple[int | None, ...]:
+ """
+ Compute the shape of the broadcasted arrays.
+
+ Duplicates :func:`numpy.broadcast_shapes`, with additional support for
+ None and NaN sizes.
+
+ This is equivalent to ``xp.broadcast_arrays(arr1, arr2, ...)[0].shape``
+ without needing to worry about the backend potentially deep copying
+ the arrays.
+
+ Parameters
+ ----------
+ *shapes : tuple[int | None, ...]
+ Shapes of the arrays to broadcast.
+
+ Returns
+ -------
+ tuple[int | None, ...]
+ The shape of the broadcasted arrays.
+
+ See Also
+ --------
+ numpy.broadcast_shapes : Equivalent NumPy function.
+ array_api.broadcast_arrays : Function to broadcast actual arrays.
+
+ Notes
+ -----
+ This function accepts the Array API's ``None`` for unknown sizes,
+ as well as Dask's non-standard ``math.nan``.
+ Regardless of input, the output always contains ``None`` for unknown sizes.
+
+ Examples
+ --------
+ >>> import array_api_extra as xpx
+ >>> xpx.broadcast_shapes((2, 3), (2, 1))
+ (2, 3)
+ >>> xpx.broadcast_shapes((4, 2, 3), (2, 1), (1, 3))
+ (4, 2, 3)
+ """
+ if not shapes:
+ return () # Match NumPy output
+
+ ndim = max(len(shape) for shape in shapes)
+ out: list[int | None] = []
+ for axis in range(-ndim, 0):
+ sizes = {shape[axis] for shape in shapes if axis >= -len(shape)}
+ # Dask uses NaN for unknown shape, which predates the Array API spec for None
+ none_size = None in sizes or math.nan in sizes
+ sizes -= {1, None, math.nan}
+ if len(sizes) > 1:
+ msg = (
+ "shape mismatch: objects cannot be broadcast to a single shape: "
+ f"{shapes}."
+ )
+ raise ValueError(msg)
+ out.append(None if none_size else cast(int, sizes.pop()) if sizes else 1)
+
+ return tuple(out)
+
+
+def cov(m: Array, /, *, xp: ModuleType | None = None) -> Array:
+ """
+ Estimate a covariance matrix.
+
+ Covariance indicates the level to which two variables vary together.
+ If we examine N-dimensional samples, :math:`X = [x_1, x_2, ... x_N]^T`,
+ then the covariance matrix element :math:`C_{ij}` is the covariance of
+ :math:`x_i` and :math:`x_j`. The element :math:`C_{ii}` is the variance
+ of :math:`x_i`.
+
+ This provides a subset of the functionality of ``numpy.cov``.
+
+ Parameters
+ ----------
+ m : array
+ A 1-D or 2-D array containing multiple variables and observations.
+ Each row of `m` represents a variable, and each column a single
+ observation of all those variables.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `m`. Default: infer.
+
+ Returns
+ -------
+ array
+ The covariance matrix of the variables.
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+
+ Consider two variables, :math:`x_0` and :math:`x_1`, which
+ correlate perfectly, but in opposite directions:
+
+ >>> x = xp.asarray([[0, 2], [1, 1], [2, 0]]).T
+ >>> x
+ Array([[0, 1, 2],
+ [2, 1, 0]], dtype=array_api_strict.int64)
+
+ Note how :math:`x_0` increases while :math:`x_1` decreases. The covariance
+ matrix shows this clearly:
+
+ >>> xpx.cov(x, xp=xp)
+ Array([[ 1., -1.],
+ [-1., 1.]], dtype=array_api_strict.float64)
+
+ Note that element :math:`C_{0,1}`, which shows the correlation between
+ :math:`x_0` and :math:`x_1`, is negative.
+
+ Further, note how `x` and `y` are combined:
+
+ >>> x = xp.asarray([-2.1, -1, 4.3])
+ >>> y = xp.asarray([3, 1.1, 0.12])
+ >>> X = xp.stack((x, y), axis=0)
+ >>> xpx.cov(X, xp=xp)
+ Array([[11.71 , -4.286 ],
+ [-4.286 , 2.14413333]], dtype=array_api_strict.float64)
+
+ >>> xpx.cov(x, xp=xp)
+ Array(11.71, dtype=array_api_strict.float64)
+
+ >>> xpx.cov(y, xp=xp)
+ Array(2.14413333, dtype=array_api_strict.float64)
+ """
+ if xp is None:
+ xp = array_namespace(m)
+
+ m = xp.asarray(m, copy=True)
+ dtype = (
+ xp.float64 if xp.isdtype(m.dtype, "integral") else xp.result_type(m, xp.float64)
+ )
+
+ m = atleast_nd(m, ndim=2, xp=xp)
+ m = xp.astype(m, dtype)
+
+ avg = _helpers.mean(m, axis=1, xp=xp)
+
+ m_shape = eager_shape(m)
+ fact = m_shape[1] - 1
+
+ if fact <= 0:
+ warnings.warn("Degrees of freedom <= 0 for slice", RuntimeWarning, stacklevel=2)
+ fact = 0
+
+ m -= avg[:, None]
+ m_transpose = m.T
+ if xp.isdtype(m_transpose.dtype, "complex floating"):
+ m_transpose = xp.conj(m_transpose)
+ c = m @ m_transpose
+ c /= fact
+ axes = tuple(axis for axis, length in enumerate(c.shape) if length == 1)
+ return xp.squeeze(c, axis=axes)
+
+
+def create_diagonal(
+ x: Array, /, *, offset: int = 0, xp: ModuleType | None = None
+) -> Array:
+ """
+ Construct a diagonal array.
+
+ Parameters
+ ----------
+ x : array
+ An array having shape ``(*batch_dims, k)``.
+ offset : int, optional
+ Offset from the leading diagonal (default is ``0``).
+ Use positive ints for diagonals above the leading diagonal,
+ and negative ints for diagonals below the leading diagonal.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ array
+ An array having shape ``(*batch_dims, k+abs(offset), k+abs(offset))`` with `x`
+ on the diagonal (offset by `offset`).
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> x = xp.asarray([2, 4, 8])
+
+ >>> xpx.create_diagonal(x, xp=xp)
+ Array([[2, 0, 0],
+ [0, 4, 0],
+ [0, 0, 8]], dtype=array_api_strict.int64)
+
+ >>> xpx.create_diagonal(x, offset=-2, xp=xp)
+ Array([[0, 0, 0, 0, 0],
+ [0, 0, 0, 0, 0],
+ [2, 0, 0, 0, 0],
+ [0, 4, 0, 0, 0],
+ [0, 0, 8, 0, 0]], dtype=array_api_strict.int64)
+ """
+ if xp is None:
+ xp = array_namespace(x)
+
+ if x.ndim == 0:
+ err_msg = "`x` must be at least 1-dimensional."
+ raise ValueError(err_msg)
+
+ x_shape = eager_shape(x)
+ batch_dims = x_shape[:-1]
+ n = x_shape[-1] + abs(offset)
+ diag = xp.zeros((*batch_dims, n**2), dtype=x.dtype, device=_compat.device(x))
+
+ target_slice = slice(
+ offset if offset >= 0 else abs(offset) * n,
+ min(n * (n - offset), diag.shape[-1]),
+ n + 1,
+ )
+ for index in ndindex(*batch_dims):
+ diag = at(diag)[(*index, target_slice)].set(x[(*index, slice(None))])
+ return xp.reshape(diag, (*batch_dims, n, n))
+
+
+def expand_dims(
+ a: Array, /, *, axis: int | tuple[int, ...] = (0,), xp: ModuleType | None = None
+) -> Array:
+ """
+ Expand the shape of an array.
+
+ Insert (a) new axis/axes that will appear at the position(s) specified by
+ `axis` in the expanded array shape.
+
+ This is ``xp.expand_dims`` for `axis` an int *or a tuple of ints*.
+ Roughly equivalent to ``numpy.expand_dims`` for NumPy arrays.
+
+ Parameters
+ ----------
+ a : array
+ Array to have its shape expanded.
+ axis : int or tuple of ints, optional
+ Position(s) in the expanded axes where the new axis (or axes) is/are placed.
+ If multiple positions are provided, they should be unique (note that a position
+ given by a positive index could also be referred to by a negative index -
+ that will also result in an error).
+ Default: ``(0,)``.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `a`. Default: infer.
+
+ Returns
+ -------
+ array
+ `a` with an expanded shape.
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> x = xp.asarray([1, 2])
+ >>> x.shape
+ (2,)
+
+ The following is equivalent to ``x[xp.newaxis, :]`` or ``x[xp.newaxis]``:
+
+ >>> y = xpx.expand_dims(x, axis=0, xp=xp)
+ >>> y
+ Array([[1, 2]], dtype=array_api_strict.int64)
+ >>> y.shape
+ (1, 2)
+
+ The following is equivalent to ``x[:, xp.newaxis]``:
+
+ >>> y = xpx.expand_dims(x, axis=1, xp=xp)
+ >>> y
+ Array([[1],
+ [2]], dtype=array_api_strict.int64)
+ >>> y.shape
+ (2, 1)
+
+ ``axis`` may also be a tuple:
+
+ >>> y = xpx.expand_dims(x, axis=(0, 1), xp=xp)
+ >>> y
+ Array([[[1, 2]]], dtype=array_api_strict.int64)
+
+ >>> y = xpx.expand_dims(x, axis=(2, 0), xp=xp)
+ >>> y
+ Array([[[1],
+ [2]]], dtype=array_api_strict.int64)
+ """
+ if xp is None:
+ xp = array_namespace(a)
+
+ if not isinstance(axis, tuple):
+ axis = (axis,)
+ ndim = a.ndim + len(axis)
+ if axis != () and (min(axis) < -ndim or max(axis) >= ndim):
+ err_msg = (
+ f"a provided axis position is out of bounds for array of dimension {a.ndim}"
+ )
+ raise IndexError(err_msg)
+ axis = tuple(dim % ndim for dim in axis)
+ if len(set(axis)) != len(axis):
+ err_msg = "Duplicate dimensions specified in `axis`."
+ raise ValueError(err_msg)
+ for i in sorted(axis):
+ a = xp.expand_dims(a, axis=i)
+ return a
+
+
+def isclose(
+ a: Array | complex,
+ b: Array | complex,
+ *,
+ rtol: float = 1e-05,
+ atol: float = 1e-08,
+ equal_nan: bool = False,
+ xp: ModuleType,
+) -> Array: # numpydoc ignore=PR01,RT01
+ """See docstring in array_api_extra._delegation."""
+ a, b = asarrays(a, b, xp=xp)
+
+ a_inexact = xp.isdtype(a.dtype, ("real floating", "complex floating"))
+ b_inexact = xp.isdtype(b.dtype, ("real floating", "complex floating"))
+ if a_inexact or b_inexact:
+ # prevent warnings on NumPy and Dask on inf - inf
+ mxp = meta_namespace(a, b, xp=xp)
+ out = apply_where(
+ xp.isinf(a) | xp.isinf(b),
+ (a, b),
+ lambda a, b: mxp.isinf(a) & mxp.isinf(b) & (mxp.sign(a) == mxp.sign(b)), # pyright: ignore[reportUnknownArgumentType]
+ # Note: inf <= inf is True!
+ lambda a, b: mxp.abs(a - b) <= (atol + rtol * mxp.abs(b)), # pyright: ignore[reportUnknownArgumentType]
+ xp=xp,
+ )
+ if equal_nan:
+ out = xp.where(xp.isnan(a) & xp.isnan(b), True, out)
+ return out
+
+ if xp.isdtype(a.dtype, "bool") or xp.isdtype(b.dtype, "bool"):
+ if atol >= 1 or rtol >= 1:
+ return xp.ones_like(a == b)
+ return a == b
+
+ # integer types
+ atol = int(atol)
+ if rtol == 0:
+ return xp.abs(a - b) <= atol
+
+ # Don't rely on OverflowError, as it is not guaranteed by the Array API.
+ nrtol = int(1.0 / rtol)
+ if nrtol > xp.iinfo(b.dtype).max:
+ # rtol * max_int < 1, so it's inconsequential
+ return xp.abs(a - b) <= atol
+ return xp.abs(a - b) <= (atol + xp.abs(b) // nrtol)
+
+
+def kron(
+ a: Array | complex,
+ b: Array | complex,
+ /,
+ *,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Kronecker product of two arrays.
+
+ Computes the Kronecker product, a composite array made of blocks of the
+ second array scaled by the first.
+
+ Equivalent to ``numpy.kron`` for NumPy arrays.
+
+ Parameters
+ ----------
+ a, b : Array | int | float | complex
+ Input arrays or scalars. At least one must be an array.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `a` and `b`. Default: infer.
+
+ Returns
+ -------
+ array
+ The Kronecker product of `a` and `b`.
+
+ Notes
+ -----
+ The function assumes that the number of dimensions of `a` and `b`
+ are the same, if necessary prepending the smallest with ones.
+ If ``a.shape = (r0,r1,..,rN)`` and ``b.shape = (s0,s1,...,sN)``,
+ the Kronecker product has shape ``(r0*s0, r1*s1, ..., rN*SN)``.
+ The elements are products of elements from `a` and `b`, organized
+ explicitly by::
+
+ kron(a,b)[k0,k1,...,kN] = a[i0,i1,...,iN] * b[j0,j1,...,jN]
+
+ where::
+
+ kt = it * st + jt, t = 0,...,N
+
+ In the common 2-D case (N=1), the block structure can be visualized::
+
+ [[ a[0,0]*b, a[0,1]*b, ... , a[0,-1]*b ],
+ [ ... ... ],
+ [ a[-1,0]*b, a[-1,1]*b, ... , a[-1,-1]*b ]]
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> xpx.kron(xp.asarray([1, 10, 100]), xp.asarray([5, 6, 7]), xp=xp)
+ Array([ 5, 6, 7, 50, 60, 70, 500,
+ 600, 700], dtype=array_api_strict.int64)
+
+ >>> xpx.kron(xp.asarray([5, 6, 7]), xp.asarray([1, 10, 100]), xp=xp)
+ Array([ 5, 50, 500, 6, 60, 600, 7,
+ 70, 700], dtype=array_api_strict.int64)
+
+ >>> xpx.kron(xp.eye(2), xp.ones((2, 2)), xp=xp)
+ Array([[1., 1., 0., 0.],
+ [1., 1., 0., 0.],
+ [0., 0., 1., 1.],
+ [0., 0., 1., 1.]], dtype=array_api_strict.float64)
+
+ >>> a = xp.reshape(xp.arange(100), (2, 5, 2, 5))
+ >>> b = xp.reshape(xp.arange(24), (2, 3, 4))
+ >>> c = xpx.kron(a, b, xp=xp)
+ >>> c.shape
+ (2, 10, 6, 20)
+ >>> I = (1, 3, 0, 2)
+ >>> J = (0, 2, 1)
+ >>> J1 = (0,) + J # extend to ndim=4
+ >>> S1 = (1,) + b.shape
+ >>> K = tuple(xp.asarray(I) * xp.asarray(S1) + xp.asarray(J1))
+ >>> c[K] == a[I]*b[J]
+ Array(True, dtype=array_api_strict.bool)
+ """
+ if xp is None:
+ xp = array_namespace(a, b)
+ a, b = asarrays(a, b, xp=xp)
+
+ singletons = (1,) * (b.ndim - a.ndim)
+ a = cast(Array, xp.broadcast_to(a, singletons + a.shape))
+
+ nd_b, nd_a = b.ndim, a.ndim
+ nd_max = max(nd_b, nd_a)
+ if nd_a == 0 or nd_b == 0:
+ return xp.multiply(a, b)
+
+ a_shape = eager_shape(a)
+ b_shape = eager_shape(b)
+
+ # Equalise the shapes by prepending smaller one with 1s
+ a_shape = (1,) * max(0, nd_b - nd_a) + a_shape
+ b_shape = (1,) * max(0, nd_a - nd_b) + b_shape
+
+ # Insert empty dimensions
+ a_arr = expand_dims(a, axis=tuple(range(nd_b - nd_a)), xp=xp)
+ b_arr = expand_dims(b, axis=tuple(range(nd_a - nd_b)), xp=xp)
+
+ # Compute the product
+ a_arr = expand_dims(a_arr, axis=tuple(range(1, nd_max * 2, 2)), xp=xp)
+ b_arr = expand_dims(b_arr, axis=tuple(range(0, nd_max * 2, 2)), xp=xp)
+ result = xp.multiply(a_arr, b_arr)
+
+ # Reshape back and return
+ res_shape = tuple(a_s * b_s for a_s, b_s in zip(a_shape, b_shape, strict=True))
+ return xp.reshape(result, res_shape)
+
+
+def nunique(x: Array, /, *, xp: ModuleType | None = None) -> Array:
+ """
+ Count the number of unique elements in an array.
+
+ Compatible with JAX and Dask, whose laziness would be otherwise
+ problematic.
+
+ Parameters
+ ----------
+ x : Array
+ Input array.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ array: 0-dimensional integer array
+ The number of unique elements in `x`. It can be lazy.
+ """
+ if xp is None:
+ xp = array_namespace(x)
+
+ if is_jax_array(x):
+ # size= is JAX-specific
+ # https://github.com/data-apis/array-api/issues/883
+ _, counts = xp.unique_counts(x, size=_compat.size(x))
+ return (counts > 0).sum()
+
+ # There are 3 general use cases:
+ # 1. backend has unique_counts and it returns an array with known shape
+ # 2. backend has unique_counts and it returns a None-sized array;
+ # e.g. Dask, ndonnx
+ # 3. backend does not have unique_counts; e.g. wrapped JAX
+ if capabilities(xp)["data-dependent shapes"]:
+ # xp has unique_counts; O(n) complexity
+ _, counts = xp.unique_counts(x)
+ n = _compat.size(counts)
+ if n is None:
+ return xp.sum(xp.ones_like(counts))
+ return xp.asarray(n, device=_compat.device(x))
+
+ # xp does not have unique_counts; O(n*logn) complexity
+ x = xp.sort(xp.reshape(x, -1))
+ mask = x != xp.roll(x, -1)
+ default_int = xp.__array_namespace_info__().default_dtypes(
+ device=_compat.device(x)
+ )["integral"]
+ return xp.maximum(
+ # Special cases:
+ # - array is size 0
+ # - array has all elements equal to each other
+ xp.astype(xp.any(~mask), default_int),
+ xp.sum(xp.astype(mask, default_int)),
+ )
+
+
+def pad(
+ x: Array,
+ pad_width: int | tuple[int, int] | Sequence[tuple[int, int]],
+ *,
+ constant_values: complex = 0,
+ xp: ModuleType,
+) -> Array: # numpydoc ignore=PR01,RT01
+ """See docstring in `array_api_extra._delegation.py`."""
+ # make pad_width a list of length-2 tuples of ints
+ if isinstance(pad_width, int):
+ pad_width_seq = [(pad_width, pad_width)] * x.ndim
+ elif (
+ isinstance(pad_width, tuple)
+ and len(pad_width) == 2
+ and all(isinstance(i, int) for i in pad_width)
+ ):
+ pad_width_seq = [cast(tuple[int, int], pad_width)] * x.ndim
+ else:
+ pad_width_seq = cast(list[tuple[int, int]], list(pad_width))
+
+ # https://github.com/python/typeshed/issues/13376
+ slices: list[slice] = [] # type: ignore[explicit-any]
+ newshape: list[int] = []
+ for ax, w_tpl in enumerate(pad_width_seq):
+ if len(w_tpl) != 2:
+ msg = f"expect a 2-tuple (before, after), got {w_tpl}."
+ raise ValueError(msg)
+
+ sh = eager_shape(x)[ax]
+
+ if w_tpl[0] == 0 and w_tpl[1] == 0:
+ sl = slice(None, None, None)
+ else:
+ start, stop = w_tpl
+ stop = None if stop == 0 else -stop
+
+ sl = slice(start, stop, None)
+ sh += w_tpl[0] + w_tpl[1]
+
+ newshape.append(sh)
+ slices.append(sl)
+
+ padded = xp.full(
+ tuple(newshape),
+ fill_value=constant_values,
+ dtype=x.dtype,
+ device=_compat.device(x),
+ )
+ return at(padded, tuple(slices)).set(x)
+
+
+def setdiff1d(
+ x1: Array | complex,
+ x2: Array | complex,
+ /,
+ *,
+ assume_unique: bool = False,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Find the set difference of two arrays.
+
+ Return the unique values in `x1` that are not in `x2`.
+
+ Parameters
+ ----------
+ x1 : array | int | float | complex | bool
+ Input array.
+ x2 : array
+ Input comparison array.
+ assume_unique : bool
+ If ``True``, the input arrays are both assumed to be unique, which
+ can speed up the calculation. Default is ``False``.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x1` and `x2`. Default: infer.
+
+ Returns
+ -------
+ array
+ 1D array of values in `x1` that are not in `x2`. The result
+ is sorted when `assume_unique` is ``False``, but otherwise only sorted
+ if the input is sorted.
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+
+ >>> x1 = xp.asarray([1, 2, 3, 2, 4, 1])
+ >>> x2 = xp.asarray([3, 4, 5, 6])
+ >>> xpx.setdiff1d(x1, x2, xp=xp)
+ Array([1, 2], dtype=array_api_strict.int64)
+ """
+ if xp is None:
+ xp = array_namespace(x1, x2)
+ # https://github.com/microsoft/pyright/issues/10103
+ x1_, x2_ = asarrays(x1, x2, xp=xp)
+
+ if assume_unique:
+ x1_ = xp.reshape(x1_, (-1,))
+ x2_ = xp.reshape(x2_, (-1,))
+ else:
+ x1_ = xp.unique_values(x1_)
+ x2_ = xp.unique_values(x2_)
+
+ return x1_[_helpers.in1d(x1_, x2_, assume_unique=True, invert=True, xp=xp)]
+
+
+def sinc(x: Array, /, *, xp: ModuleType | None = None) -> Array:
+ r"""
+ Return the normalized sinc function.
+
+ The sinc function is equal to :math:`\sin(\pi x)/(\pi x)` for any argument
+ :math:`x\ne 0`. ``sinc(0)`` takes the limit value 1, making ``sinc`` not
+ only everywhere continuous but also infinitely differentiable.
+
+ .. note::
+
+ Note the normalization factor of ``pi`` used in the definition.
+ This is the most commonly used definition in signal processing.
+ Use ``sinc(x / xp.pi)`` to obtain the unnormalized sinc function
+ :math:`\sin(x)/x` that is more common in mathematics.
+
+ Parameters
+ ----------
+ x : array
+ Array (possibly multi-dimensional) of values for which to calculate
+ ``sinc(x)``. Must have a real floating point dtype.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ array
+ ``sinc(x)`` calculated elementwise, which has the same shape as the input.
+
+ Notes
+ -----
+ The name sinc is short for "sine cardinal" or "sinus cardinalis".
+
+ The sinc function is used in various signal processing applications,
+ including in anti-aliasing, in the construction of a Lanczos resampling
+ filter, and in interpolation.
+
+ For bandlimited interpolation of discrete-time signals, the ideal
+ interpolation kernel is proportional to the sinc function.
+
+ References
+ ----------
+ #. Weisstein, Eric W. "Sinc Function." From MathWorld--A Wolfram Web
+ Resource. https://mathworld.wolfram.com/SincFunction.html
+ #. Wikipedia, "Sinc function",
+ https://en.wikipedia.org/wiki/Sinc_function
+
+ Examples
+ --------
+ >>> import array_api_strict as xp
+ >>> import array_api_extra as xpx
+ >>> x = xp.linspace(-4, 4, 41)
+ >>> xpx.sinc(x, xp=xp)
+ Array([-3.89817183e-17, -4.92362781e-02,
+ -8.40918587e-02, -8.90384387e-02,
+ -5.84680802e-02, 3.89817183e-17,
+ 6.68206631e-02, 1.16434881e-01,
+ 1.26137788e-01, 8.50444803e-02,
+ -3.89817183e-17, -1.03943254e-01,
+ -1.89206682e-01, -2.16236208e-01,
+ -1.55914881e-01, 3.89817183e-17,
+ 2.33872321e-01, 5.04551152e-01,
+ 7.56826729e-01, 9.35489284e-01,
+ 1.00000000e+00, 9.35489284e-01,
+ 7.56826729e-01, 5.04551152e-01,
+ 2.33872321e-01, 3.89817183e-17,
+ -1.55914881e-01, -2.16236208e-01,
+ -1.89206682e-01, -1.03943254e-01,
+ -3.89817183e-17, 8.50444803e-02,
+ 1.26137788e-01, 1.16434881e-01,
+ 6.68206631e-02, 3.89817183e-17,
+ -5.84680802e-02, -8.90384387e-02,
+ -8.40918587e-02, -4.92362781e-02,
+ -3.89817183e-17], dtype=array_api_strict.float64)
+ """
+ if xp is None:
+ xp = array_namespace(x)
+
+ if not xp.isdtype(x.dtype, "real floating"):
+ err_msg = "`x` must have a real floating data type."
+ raise ValueError(err_msg)
+ # no scalars in `where` - array-api#807
+ y = xp.pi * xp.where(
+ xp.astype(x, xp.bool),
+ x,
+ xp.asarray(xp.finfo(x.dtype).eps, dtype=x.dtype, device=_compat.device(x)),
+ )
+ return xp.sin(y) / y
diff --git a/src/array_api_extra/_lib/_lazy.py b/src/array_api_extra/_lib/_lazy.py
new file mode 100644
index 00000000..d13d08f8
--- /dev/null
+++ b/src/array_api_extra/_lib/_lazy.py
@@ -0,0 +1,357 @@
+"""Public API Functions."""
+
+from __future__ import annotations
+
+import math
+from collections.abc import Callable, Sequence
+from functools import partial, wraps
+from types import ModuleType
+from typing import TYPE_CHECKING, Any, ParamSpec, TypeAlias, cast, overload
+
+from ._funcs import broadcast_shapes
+from ._utils import _compat
+from ._utils._compat import (
+ array_namespace,
+ is_dask_namespace,
+ is_jax_namespace,
+)
+from ._utils._helpers import is_python_scalar
+from ._utils._typing import Array, DType
+
+if TYPE_CHECKING: # pragma: no cover
+ import numpy as np
+ from numpy.typing import ArrayLike
+
+ NumPyObject: TypeAlias = np.ndarray[Any, Any] | np.generic # type: ignore[explicit-any]
+else:
+ # Sphinx hack
+ NumPyObject = Any
+
+P = ParamSpec("P")
+
+
+@overload
+def lazy_apply( # type: ignore[decorated-any, valid-type]
+ func: Callable[P, Array | ArrayLike],
+ *args: Array | complex | None,
+ shape: tuple[int | None, ...] | None = None,
+ dtype: DType | None = None,
+ as_numpy: bool = False,
+ xp: ModuleType | None = None,
+ **kwargs: P.kwargs, # pyright: ignore[reportGeneralTypeIssues]
+) -> Array: ... # numpydoc ignore=GL08
+
+
+@overload
+def lazy_apply( # type: ignore[decorated-any, valid-type]
+ func: Callable[P, Sequence[Array | ArrayLike]],
+ *args: Array | complex | None,
+ shape: Sequence[tuple[int | None, ...]],
+ dtype: Sequence[DType] | None = None,
+ as_numpy: bool = False,
+ xp: ModuleType | None = None,
+ **kwargs: P.kwargs, # pyright: ignore[reportGeneralTypeIssues]
+) -> tuple[Array, ...]: ... # numpydoc ignore=GL08
+
+
+def lazy_apply( # type: ignore[valid-type] # numpydoc ignore=GL07,SA04
+ func: Callable[P, Array | ArrayLike | Sequence[Array | ArrayLike]],
+ *args: Array | complex | None,
+ shape: tuple[int | None, ...] | Sequence[tuple[int | None, ...]] | None = None,
+ dtype: DType | Sequence[DType] | None = None,
+ as_numpy: bool = False,
+ xp: ModuleType | None = None,
+ **kwargs: P.kwargs, # pyright: ignore[reportGeneralTypeIssues]
+) -> Array | tuple[Array, ...]:
+ """
+ Lazily apply an eager function.
+
+ If the backend of the input arrays is lazy, e.g. Dask or jitted JAX, the execution
+ of the function is delayed until the graph is materialized; if it's eager, the
+ function is executed immediately.
+
+ Parameters
+ ----------
+ func : callable
+ The function to apply.
+
+ It must accept one or more array API compliant arrays as positional arguments.
+ If `as_numpy=True`, inputs are converted to NumPy before they are passed to
+ `func`.
+ It must return either a single array-like or a sequence of array-likes.
+
+ `func` must be a pure function, i.e. without side effects, as depending on the
+ backend it may be executed more than once or never.
+ *args : Array | int | float | complex | bool | None
+ One or more Array API compliant arrays, Python scalars, or None's.
+
+ If `as_numpy=True`, you need to be able to apply :func:`numpy.asarray` to
+ non-None args to convert them to NumPy; read notes below about specific
+ backends.
+ shape : tuple[int | None, ...] | Sequence[tuple[int | None, ...]], optional
+ Output shape or sequence of output shapes, one for each output of `func`.
+ Default: assume single output and broadcast shapes of the input arrays.
+ dtype : DType | Sequence[DType], optional
+ Output dtype or sequence of output dtypes, one for each output of `func`.
+ dtype(s) must belong to the same array namespace as the input arrays.
+ Default: infer the result type(s) from the input arrays.
+ as_numpy : bool, optional
+ If True, convert the input arrays to NumPy before passing them to `func`.
+ This is particularly useful to make NumPy-only functions, e.g. written in Cython
+ or Numba, work transparently with array API-compliant arrays.
+ Default: False.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `args`. Default: infer.
+ **kwargs : Any, optional
+ Additional keyword arguments to pass verbatim to `func`.
+ They cannot contain Array objects.
+
+ Returns
+ -------
+ Array | tuple[Array, ...]
+ The result(s) of `func` applied to the input arrays, wrapped in the same
+ array namespace as the inputs.
+ If shape is omitted or a single `tuple[int | None, ...]`, return a single array.
+ Otherwise, return a tuple of arrays.
+
+ Notes
+ -----
+ JAX
+ This allows applying eager functions to jitted JAX arrays, which are lazy.
+ The function won't be applied until the JAX array is materialized.
+ When running inside ``jax.jit``, `shape` must be fully known, i.e. it cannot
+ contain any `None` elements.
+
+ .. warning::
+
+ `func` must never raise inside ``jax.jit``, as the resulting behavior is
+ undefined.
+
+ Using this with `as_numpy=False` is particularly useful to apply non-jittable
+ JAX functions to arrays on GPU devices.
+ If ``as_numpy=True``, the :doc:`jax:transfer_guard` may prevent arrays on a GPU
+ device from being transferred back to CPU. This is treated as an implicit
+ transfer.
+
+ PyTorch, CuPy
+ If ``as_numpy=True``, these backends raise by default if you attempt to convert
+ arrays on a GPU device to NumPy.
+
+ Sparse
+ If ``as_numpy=True``, by default sparse prevents implicit densification through
+ :func:`numpy.asarray`. `This safety mechanism can be disabled
+ `_.
+
+ Dask
+ This allows applying eager functions to Dask arrays.
+ The Dask graph won't be computed until the user calls ``compute()`` or
+ ``persist()`` down the line.
+
+ The function name will be prominently visible on the user-facing Dask
+ dashboard and on Prometheus metrics, so it is recommended for it to be
+ meaningful.
+
+ `lazy_apply` doesn't know if `func` reduces along any axes; also, shape
+ changes are non-trivial in chunked Dask arrays. For these reasons, all inputs
+ will be rechunked into a single chunk.
+
+ .. warning::
+
+ The whole operation needs to fit in memory all at once on a single worker.
+
+ The outputs will also be returned as a single chunk and you should consider
+ rechunking them into smaller chunks afterwards.
+
+ If you want to distribute the calculation across multiple workers, you
+ should use :func:`dask.array.map_blocks`, :func:`dask.array.map_overlap`,
+ :func:`dask.array.blockwise`, or a native Dask wrapper instead of
+ `lazy_apply`.
+
+ Dask wrapping around other backends
+ If ``as_numpy=False``, `func` will receive in input eager arrays of the meta
+ namespace, as defined by the ``._meta`` attribute of the input Dask arrays.
+ The outputs of `func` will be wrapped by the meta namespace, and then wrapped
+ again by Dask.
+
+ Raises
+ ------
+ ValueError
+ When ``xp=jax.numpy``, the output `shape` is unknown (it contains ``None`` on
+ one or more axes) and this function was called inside ``jax.jit``.
+ RuntimeError
+ When ``xp=sparse`` and auto-densification is disabled.
+ Exception (backend-specific)
+ When the backend disallows implicit device to host transfers and the input
+ arrays are on a non-CPU device, e.g. on GPU.
+
+ See Also
+ --------
+ jax.transfer_guard
+ jax.pure_callback
+ dask.array.map_blocks
+ dask.array.map_overlap
+ dask.array.blockwise
+ """
+ args_not_none = [arg for arg in args if arg is not None]
+ array_args = [arg for arg in args_not_none if not is_python_scalar(arg)]
+ if not array_args:
+ msg = "Must have at least one argument array"
+ raise ValueError(msg)
+ if xp is None:
+ xp = array_namespace(*args)
+
+ # Normalize and validate shape and dtype
+ shapes: list[tuple[int | None, ...]]
+ dtypes: list[DType]
+ multi_output = False
+
+ if shape is None:
+ shapes = [broadcast_shapes(*(arg.shape for arg in array_args))]
+ elif all(isinstance(s, int | None) for s in shape):
+ # Do not test for shape to be a tuple
+ # https://github.com/data-apis/array-api/issues/891#issuecomment-2637430522
+ shapes = [cast(tuple[int | None, ...], shape)]
+ else:
+ shapes = list(shape) # type: ignore[arg-type] # pyright: ignore[reportAssignmentType]
+ multi_output = True
+
+ if dtype is None:
+ dtypes = [xp.result_type(*args_not_none)] * len(shapes)
+ elif multi_output:
+ if not isinstance(dtype, Sequence):
+ msg = "Got multiple shapes but only one dtype"
+ raise ValueError(msg)
+ dtypes = list(dtype) # pyright: ignore[reportUnknownArgumentType]
+ else:
+ if isinstance(dtype, Sequence):
+ msg = "Got single shape but multiple dtypes"
+ raise ValueError(msg)
+
+ dtypes = [dtype]
+
+ if len(shapes) != len(dtypes):
+ msg = f"Got {len(shapes)} shapes and {len(dtypes)} dtypes"
+ raise ValueError(msg)
+ del shape
+ del dtype
+ # End of shape and dtype parsing
+
+ # Backend-specific branches
+ if is_dask_namespace(xp):
+ import dask
+
+ metas: list[Array] = [arg._meta for arg in array_args] # pylint: disable=protected-access # pyright: ignore[reportAttributeAccessIssue]
+ meta_xp = array_namespace(*metas)
+
+ wrapped = dask.delayed( # type: ignore[attr-defined] # pyright: ignore[reportPrivateImportUsage]
+ _lazy_apply_wrapper(func, as_numpy, multi_output, meta_xp),
+ pure=True,
+ )
+ # This finalizes each arg, which is the same as arg.rechunk(-1).
+ # Please read docstring above for why we're not using
+ # dask.array.map_blocks or dask.array.blockwise!
+ delayed_out = wrapped(*args, **kwargs)
+
+ out = tuple(
+ xp.from_delayed(
+ delayed_out[i], # pyright: ignore[reportIndexIssue]
+ # Dask's unknown shapes diverge from the Array API specification
+ shape=tuple(math.nan if s is None else s for s in shape),
+ dtype=dtype,
+ meta=metas[0],
+ )
+ for i, (shape, dtype) in enumerate(zip(shapes, dtypes, strict=True))
+ )
+
+ elif is_jax_namespace(xp) and _is_jax_jit_enabled(xp):
+ # Delay calling func with jax.pure_callback, which will forward to func eager
+ # JAX arrays. Do not use jax.pure_callback when running outside of the JIT,
+ # as it does not support raising exceptions:
+ # https://github.com/jax-ml/jax/issues/26102
+ import jax
+
+ if any(None in shape for shape in shapes):
+ msg = "Output shape must be fully known when running inside jax.jit"
+ raise ValueError(msg)
+
+ # Shield kwargs from being coerced into JAX arrays.
+ # jax.pure_callback calls jax.jit under the hood, but without the chance of
+ # passing static_argnames / static_argnums.
+ wrapped = _lazy_apply_wrapper(
+ partial(func, **kwargs), as_numpy, multi_output, xp
+ )
+
+ # suppress unused-ignore to run mypy in -e lint as well as -e dev
+ out = cast( # type: ignore[bad-cast,unused-ignore]
+ tuple[Array, ...],
+ jax.pure_callback(
+ wrapped,
+ tuple(
+ jax.ShapeDtypeStruct(shape, dtype) # pyright: ignore[reportUnknownArgumentType]
+ for shape, dtype in zip(shapes, dtypes, strict=True)
+ ),
+ *args,
+ ),
+ )
+
+ else:
+ # Eager backends, including non-jitted JAX
+ wrapped = _lazy_apply_wrapper(func, as_numpy, multi_output, xp)
+ out = wrapped(*args, **kwargs)
+
+ return out if multi_output else out[0]
+
+
+def _is_jax_jit_enabled(xp: ModuleType) -> bool: # numpydoc ignore=PR01,RT01
+ """Return True if this function is being called inside ``jax.jit``."""
+ import jax # pylint: disable=import-outside-toplevel
+
+ x = xp.asarray(False)
+ try:
+ return bool(x)
+ except jax.errors.TracerBoolConversionError:
+ return True
+
+
+def _lazy_apply_wrapper( # type: ignore[explicit-any] # numpydoc ignore=PR01,RT01
+ func: Callable[..., Array | ArrayLike | Sequence[Array | ArrayLike]],
+ as_numpy: bool,
+ multi_output: bool,
+ xp: ModuleType,
+) -> Callable[..., tuple[Array, ...]]:
+ """
+ Helper of `lazy_apply`.
+
+ Given a function that accepts one or more arrays as positional arguments and returns
+ a single array-like or a sequence of array-likes, return a function that accepts the
+ same number of Array API arrays and always returns a tuple of Array API array.
+
+ Any keyword arguments are passed through verbatim to the wrapped function.
+ """
+
+ # On Dask, @wraps causes the graph key to contain the wrapped function's name
+ @wraps(func)
+ def wrapper( # type: ignore[decorated-any,explicit-any]
+ *args: Array | complex | None, **kwargs: Any
+ ) -> tuple[Array, ...]: # numpydoc ignore=GL08
+ args_list = []
+ device = None
+ for arg in args:
+ if arg is not None and not is_python_scalar(arg):
+ if device is None:
+ device = _compat.device(arg)
+ if as_numpy:
+ import numpy as np
+
+ arg = cast(Array, np.asarray(arg)) # type: ignore[bad-cast] # noqa: PLW2901
+ args_list.append(arg)
+ assert device is not None
+
+ out = func(*args_list, **kwargs)
+
+ if multi_output:
+ assert isinstance(out, Sequence)
+ return tuple(xp.asarray(o, device=device) for o in out)
+ return (xp.asarray(out, device=device),)
+
+ return wrapper
diff --git a/src/array_api_extra/_lib/_testing.py b/src/array_api_extra/_lib/_testing.py
new file mode 100644
index 00000000..301a851f
--- /dev/null
+++ b/src/array_api_extra/_lib/_testing.py
@@ -0,0 +1,223 @@
+"""
+Testing utilities.
+
+Note that this is private API; don't expect it to be stable.
+See also ..testing for public testing utilities.
+"""
+
+import math
+from types import ModuleType
+from typing import cast
+
+import pytest
+
+from ._utils._compat import (
+ array_namespace,
+ is_array_api_strict_namespace,
+ is_cupy_namespace,
+ is_dask_namespace,
+ is_pydata_sparse_namespace,
+ is_torch_namespace,
+)
+from ._utils._typing import Array
+
+__all__ = ["xp_assert_close", "xp_assert_equal"]
+
+
+def _check_ns_shape_dtype(
+ actual: Array, desired: Array
+) -> ModuleType: # numpydoc ignore=RT03
+ """
+ Assert that namespace, shape and dtype of the two arrays match.
+
+ Parameters
+ ----------
+ actual : Array
+ The array produced by the tested function.
+ desired : Array
+ The expected array (typically hardcoded).
+
+ Returns
+ -------
+ Arrays namespace.
+ """
+ actual_xp = array_namespace(actual) # Raises on scalars and lists
+ desired_xp = array_namespace(desired)
+
+ msg = f"namespaces do not match: {actual_xp} != f{desired_xp}"
+ assert actual_xp == desired_xp, msg
+
+ actual_shape = actual.shape
+ desired_shape = desired.shape
+ if is_dask_namespace(desired_xp):
+ # Dask uses nan instead of None for unknown shapes
+ if any(math.isnan(i) for i in cast(tuple[float, ...], actual_shape)):
+ actual_shape = actual.compute().shape # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+ if any(math.isnan(i) for i in cast(tuple[float, ...], desired_shape)):
+ desired_shape = desired.compute().shape # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+
+ msg = f"shapes do not match: {actual_shape} != f{desired_shape}"
+ assert actual_shape == desired_shape, msg
+
+ msg = f"dtypes do not match: {actual.dtype} != {desired.dtype}"
+ assert actual.dtype == desired.dtype, msg
+
+ return desired_xp
+
+
+def _prepare_for_test(array: Array, xp: ModuleType) -> Array:
+ """
+ Ensure that the array can be compared with xp.testing or np.testing.
+
+ This involves transferring it from GPU to CPU memory, densifying it, etc.
+ """
+ if is_torch_namespace(xp):
+ return array.cpu() # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+ if is_pydata_sparse_namespace(xp):
+ return array.todense() # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+ if is_array_api_strict_namespace(xp):
+ # Note: we deliberately did not add a `.to_device` method in _typing.pyi
+ # even if it is required by the standard as many backends don't support it
+ return array.to_device(xp.Device("CPU_DEVICE")) # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+ # Note: nothing to do for CuPy, because it uses a bespoke test function
+ return array
+
+
+def xp_assert_equal(actual: Array, desired: Array, err_msg: str = "") -> None:
+ """
+ Array-API compatible version of `np.testing.assert_array_equal`.
+
+ Parameters
+ ----------
+ actual : Array
+ The array produced by the tested function.
+ desired : Array
+ The expected array (typically hardcoded).
+ err_msg : str, optional
+ Error message to display on failure.
+
+ See Also
+ --------
+ xp_assert_close : Similar function for inexact equality checks.
+ numpy.testing.assert_array_equal : Similar function for NumPy arrays.
+ """
+ xp = _check_ns_shape_dtype(actual, desired)
+ actual = _prepare_for_test(actual, xp)
+ desired = _prepare_for_test(desired, xp)
+
+ if is_cupy_namespace(xp):
+ xp.testing.assert_array_equal(actual, desired, err_msg=err_msg)
+ elif is_torch_namespace(xp):
+ # PyTorch recommends using `rtol=0, atol=0` like this
+ # to test for exact equality
+ xp.testing.assert_close(
+ actual,
+ desired,
+ rtol=0,
+ atol=0,
+ equal_nan=True,
+ check_dtype=False,
+ msg=err_msg or None,
+ )
+ else:
+ import numpy as np # pylint: disable=import-outside-toplevel
+
+ np.testing.assert_array_equal(actual, desired, err_msg=err_msg)
+
+
+def xp_assert_close(
+ actual: Array,
+ desired: Array,
+ *,
+ rtol: float | None = None,
+ atol: float = 0,
+ err_msg: str = "",
+) -> None:
+ """
+ Array-API compatible version of `np.testing.assert_allclose`.
+
+ Parameters
+ ----------
+ actual : Array
+ The array produced by the tested function.
+ desired : Array
+ The expected array (typically hardcoded).
+ rtol : float, optional
+ Relative tolerance. Default: dtype-dependent.
+ atol : float, optional
+ Absolute tolerance. Default: 0.
+ err_msg : str, optional
+ Error message to display on failure.
+
+ See Also
+ --------
+ xp_assert_equal : Similar function for exact equality checks.
+ isclose : Public function for checking closeness.
+ numpy.testing.assert_allclose : Similar function for NumPy arrays.
+
+ Notes
+ -----
+ The default `atol` and `rtol` differ from `xp.all(xpx.isclose(a, b))`.
+ """
+ xp = _check_ns_shape_dtype(actual, desired)
+
+ floating = xp.isdtype(actual.dtype, ("real floating", "complex floating"))
+ if rtol is None and floating:
+ # multiplier of 4 is used as for `np.float64` this puts the default `rtol`
+ # roughly half way between sqrt(eps) and the default for
+ # `numpy.testing.assert_allclose`, 1e-7
+ rtol = xp.finfo(actual.dtype).eps ** 0.5 * 4
+ elif rtol is None:
+ rtol = 1e-7
+
+ actual = _prepare_for_test(actual, xp)
+ desired = _prepare_for_test(desired, xp)
+
+ if is_cupy_namespace(xp):
+ xp.testing.assert_allclose(
+ actual, desired, rtol=rtol, atol=atol, err_msg=err_msg
+ )
+ elif is_torch_namespace(xp):
+ xp.testing.assert_close(
+ actual, desired, rtol=rtol, atol=atol, equal_nan=True, msg=err_msg or None
+ )
+ else:
+ import numpy as np # pylint: disable=import-outside-toplevel
+
+ # JAX/Dask arrays work directly with `np.testing`
+ assert isinstance(rtol, float)
+ np.testing.assert_allclose( # type: ignore[call-overload] # pyright: ignore[reportCallIssue]
+ actual, # pyright: ignore[reportArgumentType]
+ desired, # pyright: ignore[reportArgumentType]
+ rtol=rtol,
+ atol=atol,
+ err_msg=err_msg,
+ )
+
+
+def xfail(
+ request: pytest.FixtureRequest, *, reason: str, strict: bool | None = None
+) -> None:
+ """
+ XFAIL the currently running test.
+
+ Unlike ``pytest.xfail``, allow rest of test to execute instead of immediately
+ halting it, so that it may result in a XPASS.
+ xref https://github.com/pandas-dev/pandas/issues/38902
+
+ Parameters
+ ----------
+ request : pytest.FixtureRequest
+ ``request`` argument of the test function.
+ reason : str
+ Reason for the expected failure.
+ strict: bool, optional
+ If True, the test will be marked as failed if it passes.
+ If False, the test will be marked as passed if it fails.
+ Default: ``xfail_strict`` value in ``pyproject.toml``, or False if absent.
+ """
+ if strict is not None:
+ marker = pytest.mark.xfail(reason=reason, strict=strict)
+ else:
+ marker = pytest.mark.xfail(reason=reason)
+ request.node.add_marker(marker)
diff --git a/src/array_api_extra/_lib/_typing.py b/src/array_api_extra/_lib/_typing.py
deleted file mode 100644
index 13079807..00000000
--- a/src/array_api_extra/_lib/_typing.py
+++ /dev/null
@@ -1,10 +0,0 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-from types import ModuleType
-from typing import Any
-
-# To be changed to a Protocol later (see data-apis/array-api#589)
-Array = Any # type: ignore[no-any-explicit]
-Device = Any # type: ignore[no-any-explicit]
-
-__all__ = ["Array", "Device", "ModuleType"]
diff --git a/src/array_api_extra/_lib/_utils.py b/src/array_api_extra/_lib/_utils.py
deleted file mode 100644
index bf65340e..00000000
--- a/src/array_api_extra/_lib/_utils.py
+++ /dev/null
@@ -1,65 +0,0 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-import typing
-
-if typing.TYPE_CHECKING:
- from ._typing import Array, ModuleType
-
-from . import _compat
-
-__all__ = ["in1d"]
-
-
-def in1d(
- x1: Array,
- x2: Array,
- /,
- *,
- assume_unique: bool = False,
- invert: bool = False,
- xp: ModuleType,
-) -> Array:
- """Checks whether each element of an array is also present in a
- second array.
-
- Returns a boolean array the same length as `x1` that is True
- where an element of `x1` is in `x2` and False otherwise.
-
- This function has been adapted using the original implementation
- present in numpy:
- https://github.com/numpy/numpy/blob/v1.26.0/numpy/lib/arraysetops.py#L524-L758
- """
-
- # This code is run to make the code significantly faster
- if x2.shape[0] < 10 * x1.shape[0] ** 0.145:
- if invert:
- mask = xp.ones(x1.shape[0], dtype=xp.bool, device=x1.device)
- for a in x2:
- mask &= x1 != a
- else:
- mask = xp.zeros(x1.shape[0], dtype=xp.bool, device=x1.device)
- for a in x2:
- mask |= x1 == a
- return mask
-
- rev_idx = xp.empty(0) # placeholder
- if not assume_unique:
- x1, rev_idx = xp.unique_inverse(x1)
- x2 = xp.unique_values(x2)
-
- ar = xp.concat((x1, x2))
- device_ = _compat.device(ar)
- # We need this to be a stable sort.
- order = xp.argsort(ar, stable=True)
- reverse_order = xp.argsort(order, stable=True)
- sar = xp.take(ar, order, axis=0)
- if sar.size >= 1:
- bool_ar = sar[1:] != sar[:-1] if invert else sar[1:] == sar[:-1]
- else:
- bool_ar = xp.asarray([False]) if invert else xp.asarray([True])
- flag = xp.concat((bool_ar, xp.asarray([invert], device=device_)))
- ret = xp.take(flag, reverse_order, axis=0)
-
- if assume_unique:
- return ret[: x1.shape[0]]
- return xp.take(ret, rev_idx, axis=0)
diff --git a/src/array_api_extra/_lib/_utils/__init__.py b/src/array_api_extra/_lib/_utils/__init__.py
new file mode 100644
index 00000000..3628c45f
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/__init__.py
@@ -0,0 +1 @@
+"""Modules housing private utility functions."""
diff --git a/src/array_api_extra/_lib/_utils/_compat.py b/src/array_api_extra/_lib/_utils/_compat.py
new file mode 100644
index 00000000..c6eec4cd
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/_compat.py
@@ -0,0 +1,73 @@
+"""Acquire helpers from array-api-compat."""
+# Allow packages that vendor both `array-api-extra` and
+# `array-api-compat` to override the import location
+
+try:
+ from ...._array_api_compat_vendor import (
+ array_namespace,
+ device,
+ is_array_api_obj,
+ is_array_api_strict_namespace,
+ is_cupy_array,
+ is_cupy_namespace,
+ is_dask_array,
+ is_dask_namespace,
+ is_jax_array,
+ is_jax_namespace,
+ is_lazy_array,
+ is_numpy_array,
+ is_numpy_namespace,
+ is_pydata_sparse_array,
+ is_pydata_sparse_namespace,
+ is_torch_array,
+ is_torch_namespace,
+ is_writeable_array,
+ size,
+ to_device,
+ )
+except ImportError:
+ from array_api_compat import (
+ array_namespace,
+ device,
+ is_array_api_obj,
+ is_array_api_strict_namespace,
+ is_cupy_array,
+ is_cupy_namespace,
+ is_dask_array,
+ is_dask_namespace,
+ is_jax_array,
+ is_jax_namespace,
+ is_lazy_array,
+ is_numpy_array,
+ is_numpy_namespace,
+ is_pydata_sparse_array,
+ is_pydata_sparse_namespace,
+ is_torch_array,
+ is_torch_namespace,
+ is_writeable_array,
+ size,
+ to_device,
+ )
+
+__all__ = [
+ "array_namespace",
+ "device",
+ "is_array_api_obj",
+ "is_array_api_strict_namespace",
+ "is_cupy_array",
+ "is_cupy_namespace",
+ "is_dask_array",
+ "is_dask_namespace",
+ "is_jax_array",
+ "is_jax_namespace",
+ "is_lazy_array",
+ "is_numpy_array",
+ "is_numpy_namespace",
+ "is_pydata_sparse_array",
+ "is_pydata_sparse_namespace",
+ "is_torch_array",
+ "is_torch_namespace",
+ "is_writeable_array",
+ "size",
+ "to_device",
+]
diff --git a/src/array_api_extra/_lib/_utils/_compat.pyi b/src/array_api_extra/_lib/_utils/_compat.pyi
new file mode 100644
index 00000000..48addda4
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/_compat.pyi
@@ -0,0 +1,45 @@
+"""Static type stubs for `_compat.py`."""
+
+# https://github.com/scikit-learn/scikit-learn/pull/27910#issuecomment-2568023972
+from __future__ import annotations
+
+from types import ModuleType
+from typing import Any, TypeGuard
+
+# TODO import from typing (requires Python >=3.13)
+from typing_extensions import TypeIs
+
+from ._typing import Array, Device
+
+# pylint: disable=missing-class-docstring,unused-argument
+
+def array_namespace(
+ *xs: Array | complex | None,
+ api_version: str | None = None,
+ use_compat: bool | None = None,
+) -> ModuleType: ...
+def device(x: Array, /) -> Device: ...
+def is_array_api_obj(x: object, /) -> TypeIs[Array]: ...
+def is_array_api_strict_namespace(xp: ModuleType, /) -> bool: ...
+def is_cupy_namespace(xp: ModuleType, /) -> bool: ...
+def is_dask_namespace(xp: ModuleType, /) -> bool: ...
+def is_jax_namespace(xp: ModuleType, /) -> bool: ...
+def is_numpy_namespace(xp: ModuleType, /) -> bool: ...
+def is_pydata_sparse_namespace(xp: ModuleType, /) -> bool: ...
+def is_torch_namespace(xp: ModuleType, /) -> bool: ...
+def is_cupy_array(x: object, /) -> TypeGuard[Array]: ...
+def is_dask_array(x: object, /) -> TypeGuard[Array]: ...
+def is_jax_array(x: object, /) -> TypeGuard[Array]: ...
+def is_numpy_array(x: object, /) -> TypeGuard[Array]: ...
+def is_pydata_sparse_array(x: object, /) -> TypeGuard[Array]: ...
+def is_torch_array(x: object, /) -> TypeGuard[Array]: ...
+def is_lazy_array(x: object, /) -> TypeGuard[Array]: ...
+def is_writeable_array(x: object, /) -> TypeGuard[Array]: ...
+def size(x: Array, /) -> int | None: ...
+def to_device( # type: ignore[explicit-any]
+ x: Array,
+ device: Device, # pylint: disable=redefined-outer-name
+ /,
+ *,
+ stream: int | Any | None = None,
+) -> Array: ...
diff --git a/src/array_api_extra/_lib/_utils/_helpers.py b/src/array_api_extra/_lib/_utils/_helpers.py
new file mode 100644
index 00000000..64006270
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/_helpers.py
@@ -0,0 +1,308 @@
+"""Helper functions used by `array_api_extra/_funcs.py`."""
+
+from __future__ import annotations
+
+import math
+from collections.abc import Generator, Iterable
+from types import ModuleType
+from typing import TYPE_CHECKING, cast
+
+from . import _compat
+from ._compat import (
+ array_namespace,
+ is_array_api_obj,
+ is_dask_namespace,
+ is_jax_namespace,
+ is_numpy_array,
+ is_pydata_sparse_namespace,
+)
+from ._typing import Array
+
+if TYPE_CHECKING: # pragma: no cover
+ # TODO import from typing (requires Python >=3.13)
+ from typing_extensions import TypeIs
+
+
+__all__ = [
+ "asarrays",
+ "capabilities",
+ "eager_shape",
+ "in1d",
+ "is_python_scalar",
+ "mean",
+ "meta_namespace",
+]
+
+
+def in1d(
+ x1: Array,
+ x2: Array,
+ /,
+ *,
+ assume_unique: bool = False,
+ invert: bool = False,
+ xp: ModuleType | None = None,
+) -> Array: # numpydoc ignore=PR01,RT01
+ """
+ Check whether each element of an array is also present in a second array.
+
+ Returns a boolean array the same length as `x1` that is True
+ where an element of `x1` is in `x2` and False otherwise.
+
+ This function has been adapted using the original implementation
+ present in numpy:
+ https://github.com/numpy/numpy/blob/v1.26.0/numpy/lib/arraysetops.py#L524-L758
+ """
+ if xp is None:
+ xp = array_namespace(x1, x2)
+
+ x1_shape = eager_shape(x1)
+ x2_shape = eager_shape(x2)
+
+ # This code is run to make the code significantly faster
+ if x2_shape[0] < 10 * x1_shape[0] ** 0.145 and isinstance(x2, Iterable):
+ if invert:
+ mask = xp.ones(x1_shape[0], dtype=xp.bool, device=_compat.device(x1))
+ for a in x2:
+ mask &= x1 != a
+ else:
+ mask = xp.zeros(x1_shape[0], dtype=xp.bool, device=_compat.device(x1))
+ for a in x2:
+ mask |= x1 == a
+ return mask
+
+ rev_idx = xp.empty(0) # placeholder
+ if not assume_unique:
+ x1, rev_idx = xp.unique_inverse(x1)
+ x2 = xp.unique_values(x2)
+
+ ar = xp.concat((x1, x2))
+ device_ = _compat.device(ar)
+ # We need this to be a stable sort.
+ order = xp.argsort(ar, stable=True)
+ reverse_order = xp.argsort(order, stable=True)
+ sar = xp.take(ar, order, axis=0)
+ ar_size = _compat.size(sar)
+ assert ar_size is not None, "xp.unique*() on lazy backends raises"
+ if ar_size >= 1:
+ bool_ar = sar[1:] != sar[:-1] if invert else sar[1:] == sar[:-1]
+ else:
+ bool_ar = xp.asarray([False]) if invert else xp.asarray([True])
+ flag = xp.concat((bool_ar, xp.asarray([invert], device=device_)))
+ ret = xp.take(flag, reverse_order, axis=0)
+
+ if assume_unique:
+ return ret[: x1.shape[0]]
+ return xp.take(ret, rev_idx, axis=0)
+
+
+def mean(
+ x: Array,
+ /,
+ *,
+ axis: int | tuple[int, ...] | None = None,
+ keepdims: bool = False,
+ xp: ModuleType | None = None,
+) -> Array: # numpydoc ignore=PR01,RT01
+ """
+ Complex mean, https://github.com/data-apis/array-api/issues/846.
+ """
+ if xp is None:
+ xp = array_namespace(x)
+
+ if xp.isdtype(x.dtype, "complex floating"):
+ x_real = xp.real(x)
+ x_imag = xp.imag(x)
+ mean_real = xp.mean(x_real, axis=axis, keepdims=keepdims)
+ mean_imag = xp.mean(x_imag, axis=axis, keepdims=keepdims)
+ return mean_real + (mean_imag * xp.asarray(1j))
+ return xp.mean(x, axis=axis, keepdims=keepdims)
+
+
+def is_python_scalar(x: object) -> TypeIs[complex]: # numpydoc ignore=PR01,RT01
+ """Return True if `x` is a Python scalar, False otherwise."""
+ # isinstance(x, float) returns True for np.float64
+ # isinstance(x, complex) returns True for np.complex128
+ # bool is a subclass of int
+ return isinstance(x, int | float | complex) and not is_numpy_array(x)
+
+
+def asarrays(
+ a: Array | complex,
+ b: Array | complex,
+ xp: ModuleType,
+) -> tuple[Array, Array]:
+ """
+ Ensure both `a` and `b` are arrays.
+
+ If `b` is a python scalar, it is converted to the same dtype as `a`, and vice versa.
+
+ Behavior is not specified when mixing a Python ``float`` and an array with an
+ integer data type; this may give ``float32``, ``float64``, or raise an exception.
+ Behavior is implementation-specific.
+
+ Similarly, behavior is not specified when mixing a Python ``complex`` and an array
+ with a real-valued data type; this may give ``complex64``, ``complex128``, or raise
+ an exception. Behavior is implementation-specific.
+
+ Parameters
+ ----------
+ a, b : Array | int | float | complex | bool
+ Input arrays or scalars. At least one must be an array.
+ xp : array_namespace, optional
+ The standard-compatible namespace for `x`. Default: infer.
+
+ Returns
+ -------
+ Array, Array
+ The input arrays, possibly converted to arrays if they were scalars.
+
+ See Also
+ --------
+ mixing-arrays-with-python-scalars : Array API specification for the behavior.
+ """
+ a_scalar = is_python_scalar(a)
+ b_scalar = is_python_scalar(b)
+ if not a_scalar and not b_scalar:
+ # This includes misc. malformed input e.g. str
+ return a, b # type: ignore[return-value]
+
+ swap = False
+ if a_scalar:
+ swap = True
+ b, a = a, b
+
+ if is_array_api_obj(a):
+ # a is an Array API object
+ # b is a int | float | complex | bool
+ xa = a
+
+ # https://data-apis.org/array-api/draft/API_specification/type_promotion.html#mixing-arrays-with-python-scalars
+ same_dtype = {
+ bool: "bool",
+ int: ("integral", "real floating", "complex floating"),
+ float: ("real floating", "complex floating"),
+ complex: "complex floating",
+ }
+ kind = same_dtype[type(cast(complex, b))] # type: ignore[index]
+ if xp.isdtype(a.dtype, kind):
+ xb = xp.asarray(b, dtype=a.dtype)
+ else:
+ # Undefined behaviour. Let the function deal with it, if it can.
+ xb = xp.asarray(b)
+
+ else:
+ # Neither a nor b are Array API objects.
+ # Note: we can only reach this point when one explicitly passes
+ # xp=xp to the calling function; otherwise we fail earlier on
+ # array_namespace(a, b).
+ xa, xb = xp.asarray(a), xp.asarray(b)
+
+ return (xb, xa) if swap else (xa, xb)
+
+
+def ndindex(*x: int) -> Generator[tuple[int, ...]]:
+ """
+ Generate all N-dimensional indices for a given array shape.
+
+ Given the shape of an array, an ndindex instance iterates over the N-dimensional
+ index of the array. At each iteration a tuple of indices is returned, the last
+ dimension is iterated over first.
+
+ This has an identical API to numpy.ndindex.
+
+ Parameters
+ ----------
+ *x : int
+ The shape of the array.
+ """
+ if not x:
+ yield ()
+ return
+ for i in ndindex(*x[:-1]):
+ for j in range(x[-1]):
+ yield *i, j
+
+
+def eager_shape(x: Array, /) -> tuple[int, ...]:
+ """
+ Return shape of an array. Raise if shape is not fully defined.
+
+ Parameters
+ ----------
+ x : Array
+ Input array.
+
+ Returns
+ -------
+ tuple[int, ...]
+ Shape of the array.
+ """
+ shape = x.shape
+ # Dask arrays uses non-standard NaN instead of None
+ if any(s is None or math.isnan(s) for s in shape):
+ msg = "Unsupported lazy shape"
+ raise TypeError(msg)
+ return cast(tuple[int, ...], shape)
+
+
+def meta_namespace(
+ *arrays: Array | complex | None, xp: ModuleType | None = None
+) -> ModuleType:
+ """
+ Get the namespace of Dask chunks.
+
+ On all other backends, just return the namespace of the arrays.
+
+ Parameters
+ ----------
+ *arrays : Array | int | float | complex | bool | None
+ Input arrays.
+ xp : array_namespace, optional
+ The standard-compatible namespace for the input arrays. Default: infer.
+
+ Returns
+ -------
+ array_namespace
+ If xp is Dask, the namespace of the Dask chunks;
+ otherwise, the namespace of the arrays.
+ """
+ xp = array_namespace(*arrays) if xp is None else xp
+ if not is_dask_namespace(xp):
+ return xp
+ # Quietly skip scalars and None's
+ metas = [cast(Array | None, getattr(a, "_meta", None)) for a in arrays]
+ return array_namespace(*metas)
+
+
+def capabilities(xp: ModuleType) -> dict[str, int]:
+ """
+ Return patched ``xp.__array_namespace_info__().capabilities()``.
+
+ TODO this helper should be eventually removed once all the special cases
+ it handles are fixed in the respective backends.
+
+ Parameters
+ ----------
+ xp : array_namespace
+ The standard-compatible namespace.
+
+ Returns
+ -------
+ dict
+ Capabilities of the namespace.
+ """
+ if is_pydata_sparse_namespace(xp):
+ # No __array_namespace_info__(); no indexing by sparse arrays
+ return {"boolean indexing": False, "data-dependent shapes": True}
+ out = xp.__array_namespace_info__().capabilities()
+ if is_jax_namespace(xp):
+ # FIXME https://github.com/jax-ml/jax/issues/27418
+ out = out.copy()
+ out["boolean indexing"] = False
+ if is_dask_namespace(xp):
+ # FIXME https://github.com/data-apis/array-api-compat/pull/290
+ out = out.copy()
+ out["boolean indexing"] = True
+ out["data-dependent shapes"] = True
+ return out
diff --git a/src/array_api_extra/_lib/_utils/_typing.py b/src/array_api_extra/_lib/_utils/_typing.py
new file mode 100644
index 00000000..d32a3a07
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/_typing.py
@@ -0,0 +1,10 @@
+# numpydoc ignore=GL08
+# pylint: disable=missing-module-docstring
+
+Array = object
+DType = object
+Device = object
+GetIndex = object
+SetIndex = object
+
+__all__ = ["Array", "DType", "Device", "GetIndex", "SetIndex"]
diff --git a/src/array_api_extra/_lib/_utils/_typing.pyi b/src/array_api_extra/_lib/_utils/_typing.pyi
new file mode 100644
index 00000000..e32a59bd
--- /dev/null
+++ b/src/array_api_extra/_lib/_utils/_typing.pyi
@@ -0,0 +1,105 @@
+"""Static typing helpers."""
+
+from __future__ import annotations
+
+from types import EllipsisType
+from typing import Protocol, TypeAlias
+
+# TODO import from typing (requires Python >=3.12)
+from typing_extensions import override
+
+# TODO: use array-api-typing once it is available
+
+class Array(Protocol): # pylint: disable=missing-class-docstring
+ # Unary operations
+ def __abs__(self) -> Array: ...
+ def __pos__(self) -> Array: ...
+ def __neg__(self) -> Array: ...
+ def __invert__(self) -> Array: ...
+ # Binary operations
+ def __add__(self, other: Array | complex, /) -> Array: ...
+ def __sub__(self, other: Array | complex, /) -> Array: ...
+ def __mul__(self, other: Array | complex, /) -> Array: ...
+ def __truediv__(self, other: Array | complex, /) -> Array: ...
+ def __floordiv__(self, other: Array | complex, /) -> Array: ...
+ def __mod__(self, other: Array | complex, /) -> Array: ...
+ def __pow__(self, other: Array | complex, /) -> Array: ...
+ def __matmul__(self, other: Array, /) -> Array: ...
+ def __and__(self, other: Array | int, /) -> Array: ...
+ def __or__(self, other: Array | int, /) -> Array: ...
+ def __xor__(self, other: Array | int, /) -> Array: ...
+ def __lshift__(self, other: Array | int, /) -> Array: ...
+ def __rshift__(self, other: Array | int, /) -> Array: ...
+ def __lt__(self, other: Array | complex, /) -> Array: ...
+ def __le__(self, other: Array | complex, /) -> Array: ...
+ def __gt__(self, other: Array | complex, /) -> Array: ...
+ def __ge__(self, other: Array | complex, /) -> Array: ...
+ @override
+ def __eq__(self, other: Array | complex, /) -> Array: ... # type: ignore[override] # pyright: ignore[reportIncompatibleMethodOverride]
+ @override
+ def __ne__(self, other: Array | complex, /) -> Array: ... # type: ignore[override] # pyright: ignore[reportIncompatibleMethodOverride]
+ # Reflected operations
+ def __radd__(self, other: Array | complex, /) -> Array: ...
+ def __rsub__(self, other: Array | complex, /) -> Array: ...
+ def __rmul__(self, other: Array | complex, /) -> Array: ...
+ def __rtruediv__(self, other: Array | complex, /) -> Array: ...
+ def __rfloordiv__(self, other: Array | complex, /) -> Array: ...
+ def __rmod__(self, other: Array | complex, /) -> Array: ...
+ def __rpow__(self, other: Array | complex, /) -> Array: ...
+ def __rmatmul__(self, other: Array, /) -> Array: ...
+ def __rand__(self, other: Array | int, /) -> Array: ...
+ def __ror__(self, other: Array | int, /) -> Array: ...
+ def __rxor__(self, other: Array | int, /) -> Array: ...
+ def __rlshift__(self, other: Array | int, /) -> Array: ...
+ def __rrshift__(self, other: Array | int, /) -> Array: ...
+ # Attributes
+ @property
+ def dtype(self) -> DType: ...
+ @property
+ def device(self) -> Device: ...
+ @property
+ def mT(self) -> Array: ... # pylint: disable=invalid-name
+ @property
+ def ndim(self) -> int: ...
+ @property
+ def shape(self) -> tuple[int | None, ...]: ...
+ @property
+ def size(self) -> int | None: ...
+ @property
+ def T(self) -> Array: ... # pylint: disable=invalid-name
+ # Collection operations (note: an Array does not have to be Sized or Iterable)
+ def __getitem__(self, key: GetIndex, /) -> Array: ...
+ def __setitem__(self, key: SetIndex, value: Array | complex, /) -> None: ...
+ # Materialization methods (may raise on lazy arrays)
+ def __bool__(self) -> bool: ...
+ def __complex__(self) -> complex: ...
+ def __float__(self) -> float: ...
+ def __index__(self) -> int: ...
+ def __int__(self) -> int: ...
+
+ # Misc methods (frequently not implemented in Arrays wrapped by array-api-compat)
+ # def __array_namespace__(*, api_version: str | None) -> ModuleType: ...
+ # def __dlpack__(
+ # *,
+ # stream: int | Any | None = None,
+ # max_version: tuple[int, int] | None = None,
+ # dl_device: tuple[int, int] | None = None, # tuple[Enum, int]
+ # copy: bool | None = None,
+ # ) -> Any: ...
+ # def __dlpack_device__() -> tuple[int, int]: ... # tuple[Enum, int]
+ # def to_device(device: Device, /, *, stream: int | Any | None = None) -> Array: ...
+
+class DType(Protocol): # pylint: disable=missing-class-docstring
+ pass
+
+class Device(Protocol): # pylint: disable=missing-class-docstring
+ pass
+
+SetIndex: TypeAlias = ( # type: ignore[explicit-any]
+ int | slice | EllipsisType | Array | tuple[int | slice | EllipsisType | Array, ...]
+)
+GetIndex: TypeAlias = ( # type: ignore[explicit-any]
+ SetIndex | None | tuple[int | slice | EllipsisType | None | Array, ...]
+)
+
+__all__ = ["Array", "DType", "Device", "GetIndex", "SetIndex"]
diff --git a/src/array_api_extra/testing.py b/src/array_api_extra/testing.py
new file mode 100644
index 00000000..37e8e69e
--- /dev/null
+++ b/src/array_api_extra/testing.py
@@ -0,0 +1,332 @@
+"""
+Public testing utilities.
+
+See also _lib._testing for additional private testing utilities.
+"""
+
+from __future__ import annotations
+
+import contextlib
+from collections.abc import Callable, Iterable, Iterator, Sequence
+from functools import wraps
+from types import ModuleType
+from typing import TYPE_CHECKING, Any, ParamSpec, TypeVar, cast
+
+from ._lib._utils._compat import is_dask_namespace, is_jax_namespace
+
+__all__ = ["lazy_xp_function", "patch_lazy_xp_functions"]
+
+if TYPE_CHECKING: # pragma: no cover
+ # TODO import override from typing (requires Python >=3.12)
+ import pytest
+ from dask.typing import Graph, Key, SchedulerGetCallable
+ from typing_extensions import override
+
+else:
+ # Sphinx hacks
+ SchedulerGetCallable = object
+
+ def override(func: object) -> object:
+ return func
+
+
+P = ParamSpec("P")
+T = TypeVar("T")
+
+_ufuncs_tags: dict[object, dict[str, Any]] = {} # type: ignore[explicit-any]
+
+
+def lazy_xp_function( # type: ignore[explicit-any]
+ func: Callable[..., Any],
+ *,
+ allow_dask_compute: bool | int = False,
+ jax_jit: bool = True,
+ static_argnums: int | Sequence[int] | None = None,
+ static_argnames: str | Iterable[str] | None = None,
+) -> None: # numpydoc ignore=GL07
+ """
+ Tag a function to be tested on lazy backends.
+
+ Tag a function so that when any tests are executed with ``xp=jax.numpy`` the
+ function is replaced with a jitted version of itself, and when it is executed with
+ ``xp=dask.array`` the function will raise if it attempts to materialize the graph.
+ This will be later expanded to provide test coverage for other lazy backends.
+
+ In order for the tag to be effective, the test or a fixture must call
+ :func:`patch_lazy_xp_functions`.
+
+ Parameters
+ ----------
+ func : callable
+ Function to be tested.
+ allow_dask_compute : bool | int, optional
+ Whether `func` is allowed to internally materialize the Dask graph, or maximum
+ number of times it is allowed to do so. This is typically triggered by
+ ``bool()``, ``float()``, or ``np.asarray()``.
+
+ Set to 1 if you are aware that `func` converts the input parameters to NumPy and
+ want to let it do so at least for the time being, knowing that it is going to be
+ extremely detrimental for performance.
+
+ If a test needs values higher than 1 to pass, it is a canary that the conversion
+ to NumPy/bool/float is happening multiple times, which translates to multiple
+ computations of the whole graph. Short of making the function fully lazy, you
+ should at least add explicit calls to ``np.asarray()`` early in the function.
+ *Note:* the counter of `allow_dask_compute` resets after each call to `func`, so
+ a test function that invokes `func` multiple times should still work with this
+ parameter set to 1.
+
+ Set to True to allow `func` to materialize the graph an unlimited number
+ of times.
+
+ Default: False, meaning that `func` must be fully lazy and never materialize the
+ graph.
+ jax_jit : bool, optional
+ Set to True to replace `func` with ``jax.jit(func)`` after calling the
+ :func:`patch_lazy_xp_functions` test helper with ``xp=jax.numpy``. Set to False
+ if `func` is only compatible with eager (non-jitted) JAX. Default: True.
+ static_argnums : int | Sequence[int], optional
+ Passed to jax.jit. Positional arguments to treat as static (compile-time
+ constant). Default: infer from `static_argnames` using
+ `inspect.signature(func)`.
+ static_argnames : str | Iterable[str], optional
+ Passed to jax.jit. Named arguments to treat as static (compile-time constant).
+ Default: infer from `static_argnums` using `inspect.signature(func)`.
+
+ See Also
+ --------
+ patch_lazy_xp_functions : Companion function to call from the test or fixture.
+ jax.jit : JAX function to compile a function for performance.
+
+ Examples
+ --------
+ In ``test_mymodule.py``::
+
+ from array_api_extra.testing import lazy_xp_function from mymodule import myfunc
+
+ lazy_xp_function(myfunc)
+
+ def test_myfunc(xp):
+ a = xp.asarray([1, 2])
+ # When xp=jax.numpy, this is the same as `b = jax.jit(myfunc)(a)`
+ # When xp=dask.array, crash on compute() or persist()
+ b = myfunc(a)
+
+ Notes
+ -----
+ In order for this tag to be effective, the test function must be imported into the
+ test module globals without its namespace; alternatively its namespace must be
+ declared in a ``lazy_xp_modules`` list in the test module globals.
+
+ Example 1::
+
+ from mymodule import myfunc
+
+ lazy_xp_function(myfunc)
+
+ def test_myfunc(xp):
+ x = myfunc(xp.asarray([1, 2]))
+
+ Example 2::
+
+ import mymodule
+
+ lazy_xp_modules = [mymodule]
+ lazy_xp_function(mymodule.myfunc)
+
+ def test_myfunc(xp):
+ x = mymodule.myfunc(xp.asarray([1, 2]))
+
+ A test function can circumvent this monkey-patching system by using a namespace
+ outside of the two above patterns. You need to sanitize your code to make sure this
+ only happens intentionally.
+
+ Example 1::
+
+ import mymodule
+ from mymodule import myfunc
+
+ lazy_xp_function(myfunc)
+
+ def test_myfunc(xp):
+ a = xp.asarray([1, 2])
+ b = myfunc(a) # This is wrapped when xp=jax.numpy or xp=dask.array
+ c = mymodule.myfunc(a) # This is not
+
+ Example 2::
+
+ import mymodule
+
+ class naked:
+ myfunc = mymodule.myfunc
+
+ lazy_xp_modules = [mymodule]
+ lazy_xp_function(mymodule.myfunc)
+
+ def test_myfunc(xp):
+ a = xp.asarray([1, 2])
+ b = mymodule.myfunc(a) # This is wrapped when xp=jax.numpy or xp=dask.array
+ c = naked.myfunc(a) # This is not
+ """
+ tags = {
+ "allow_dask_compute": allow_dask_compute,
+ "jax_jit": jax_jit,
+ "static_argnums": static_argnums,
+ "static_argnames": static_argnames,
+ }
+ try:
+ func._lazy_xp_function = tags # type: ignore[attr-defined] # pylint: disable=protected-access # pyright: ignore[reportFunctionMemberAccess]
+ except AttributeError: # @cython.vectorize
+ _ufuncs_tags[func] = tags
+
+
+def patch_lazy_xp_functions(
+ request: pytest.FixtureRequest, monkeypatch: pytest.MonkeyPatch, *, xp: ModuleType
+) -> None:
+ """
+ Test lazy execution of functions tagged with :func:`lazy_xp_function`.
+
+ If ``xp==jax.numpy``, search for all functions which have been tagged with
+ :func:`lazy_xp_function` in the globals of the module that defines the current test,
+ as well as in the ``lazy_xp_modules`` list in the globals of the same module,
+ and wrap them with :func:`jax.jit`. Unwrap them at the end of the test.
+
+ If ``xp==dask.array``, wrap the functions with a decorator that disables
+ ``compute()`` and ``persist()`` and ensures that exceptions and warnings are raised
+ eagerly.
+
+ This function should be typically called by your library's `xp` fixture that runs
+ tests on multiple backends::
+
+ @pytest.fixture(params=[numpy, array_api_strict, jax.numpy, dask.array])
+ def xp(request, monkeypatch):
+ patch_lazy_xp_functions(request, monkeypatch, xp=request.param)
+ return request.param
+
+ but it can be otherwise be called by the test itself too.
+
+ Parameters
+ ----------
+ request : pytest.FixtureRequest
+ Pytest fixture, as acquired by the test itself or by one of its fixtures.
+ monkeypatch : pytest.MonkeyPatch
+ Pytest fixture, as acquired by the test itself or by one of its fixtures.
+ xp : array_namespace
+ Array namespace to be tested.
+
+ See Also
+ --------
+ lazy_xp_function : Tag a function to be tested on lazy backends.
+ pytest.FixtureRequest : `request` test function parameter.
+ """
+ mod = cast(ModuleType, request.module)
+ mods = [mod, *cast(list[ModuleType], getattr(mod, "lazy_xp_modules", []))]
+
+ def iter_tagged() -> ( # type: ignore[explicit-any]
+ Iterator[tuple[ModuleType, str, Callable[..., Any], dict[str, Any]]]
+ ):
+ for mod in mods:
+ for name, func in mod.__dict__.items():
+ tags: dict[str, Any] | None = None # type: ignore[explicit-any]
+ with contextlib.suppress(AttributeError):
+ tags = func._lazy_xp_function # pylint: disable=protected-access
+ if tags is None:
+ with contextlib.suppress(KeyError, TypeError):
+ tags = _ufuncs_tags[func]
+ if tags is not None:
+ yield mod, name, func, tags
+
+ if is_dask_namespace(xp):
+ for mod, name, func, tags in iter_tagged():
+ n = tags["allow_dask_compute"]
+ if n is True:
+ n = 1_000_000
+ elif n is False:
+ n = 0
+ wrapped = _dask_wrap(func, n)
+ monkeypatch.setattr(mod, name, wrapped)
+
+ elif is_jax_namespace(xp):
+ import jax
+
+ for mod, name, func, tags in iter_tagged():
+ if tags["jax_jit"]:
+ # suppress unused-ignore to run mypy in -e lint as well as -e dev
+ wrapped = cast( # type: ignore[explicit-any]
+ Callable[..., Any],
+ jax.jit(
+ func,
+ static_argnums=tags["static_argnums"],
+ static_argnames=tags["static_argnames"],
+ ),
+ )
+ monkeypatch.setattr(mod, name, wrapped)
+
+
+class CountingDaskScheduler(SchedulerGetCallable):
+ """
+ Dask scheduler that counts how many times `dask.compute` is called.
+
+ If the number of times exceeds 'max_count', it raises an error.
+ This is a wrapper around Dask's own 'synchronous' scheduler.
+
+ Parameters
+ ----------
+ max_count : int
+ Maximum number of allowed calls to `dask.compute`.
+ msg : str
+ Assertion to raise when the count exceeds `max_count`.
+ """
+
+ count: int
+ max_count: int
+ msg: str
+
+ def __init__(self, max_count: int, msg: str): # numpydoc ignore=GL08
+ self.count = 0
+ self.max_count = max_count
+ self.msg = msg
+
+ @override
+ def __call__(self, dsk: Graph, keys: Sequence[Key] | Key, **kwargs: Any) -> Any: # type: ignore[decorated-any,explicit-any] # numpydoc ignore=GL08
+ import dask
+
+ self.count += 1
+ # This should yield a nice traceback to the
+ # offending line in the user's code
+ assert self.count <= self.max_count, self.msg
+
+ return dask.get(dsk, keys, **kwargs) # type: ignore[attr-defined,no-untyped-call] # pyright: ignore[reportPrivateImportUsage]
+
+
+def _dask_wrap(
+ func: Callable[P, T], n: int
+) -> Callable[P, T]: # numpydoc ignore=PR01,RT01
+ """
+ Wrap `func` to raise if it attempts to call `dask.compute` more than `n` times.
+
+ After the function returns, materialize the graph in order to re-raise exceptions.
+ """
+ import dask
+
+ func_name = getattr(func, "__name__", str(func))
+ n_str = f"only up to {n}" if n else "no"
+ msg = (
+ f"Called `dask.compute()` or `dask.persist()` {n + 1} times, "
+ f"but {n_str} calls are allowed. Set "
+ f"`lazy_xp_function({func_name}, allow_dask_compute={n + 1})` "
+ "to allow for more (but note that this will harm performance). "
+ )
+
+ @wraps(func)
+ def wrapper(*args: P.args, **kwargs: P.kwargs) -> T: # numpydoc ignore=GL08
+ scheduler = CountingDaskScheduler(n, msg)
+ with dask.config.set({"scheduler": scheduler}): # pyright: ignore[reportPrivateImportUsage]
+ out = func(*args, **kwargs)
+
+ # Block until the graph materializes and reraise exceptions. This allows
+ # `pytest.raises` and `pytest.warns` to work as expected. Note that this would
+ # not work on scheduler='distributed', as it would not block.
+ return dask.persist(out, scheduler="threads")[0] # type: ignore[attr-defined,no-untyped-call,func-returns-value,index] # pyright: ignore[reportPrivateImportUsage]
+
+ return wrapper
diff --git a/tests/__init__.py b/tests/__init__.py
new file mode 100644
index 00000000..3ccaf52b
--- /dev/null
+++ b/tests/__init__.py
@@ -0,0 +1 @@
+"""Needed to import .conftest from the test modules."""
diff --git a/tests/conftest.py b/tests/conftest.py
new file mode 100644
index 00000000..5676cc0d
--- /dev/null
+++ b/tests/conftest.py
@@ -0,0 +1,202 @@
+"""Pytest fixtures."""
+
+from collections.abc import Callable, Generator
+from functools import partial, wraps
+from types import ModuleType
+from typing import ParamSpec, TypeVar, cast
+
+import numpy as np
+import pytest
+
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xfail
+from array_api_extra._lib._utils._compat import array_namespace
+from array_api_extra._lib._utils._compat import device as get_device
+from array_api_extra._lib._utils._typing import Device
+from array_api_extra.testing import patch_lazy_xp_functions
+
+T = TypeVar("T")
+P = ParamSpec("P")
+
+NUMPY_VERSION = tuple(int(v) for v in np.__version__.split(".")[2])
+np_compat = array_namespace(np.empty(0)) # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+
+
+@pytest.fixture(params=tuple(Backend))
+def library(request: pytest.FixtureRequest) -> Backend: # numpydoc ignore=PR01,RT03
+ """
+ Parameterized fixture that iterates on all libraries.
+
+ Returns
+ -------
+ The current Backend enum.
+ """
+ elem = cast(Backend, request.param)
+
+ for marker_name, skip_or_xfail, allow_kwargs in (
+ ("skip_xp_backend", pytest.skip, {"reason"}),
+ ("xfail_xp_backend", partial(xfail, request), {"reason", "strict"}),
+ ):
+ for marker in request.node.iter_markers(marker_name):
+ if len(marker.args) != 1: # pyright: ignore[reportUnknownArgumentType]
+ msg = f"Expected exactly one positional argument; got {marker.args}"
+ raise TypeError(msg)
+ if not isinstance(marker.args[0], Backend):
+ msg = f"Argument of {marker_name} must be a Backend enum"
+ raise TypeError(msg)
+ if invalid_kwargs := set(marker.kwargs) - allow_kwargs: # pyright: ignore[reportUnknownArgumentType]
+ msg = f"Unexpected kwarg(s): {invalid_kwargs}"
+ raise TypeError(msg)
+
+ library: Backend = marker.args[0]
+ reason: str | None = marker.kwargs.get("reason", None)
+ strict: bool | None = marker.kwargs.get("strict", None)
+
+ if library == elem:
+ reason = f"{library}: {reason}" if reason else str(library) # pyright: ignore[reportUnknownArgumentType]
+ kwargs = {"strict": strict} if strict is not None else {}
+ skip_or_xfail(reason=reason, **kwargs) # pyright: ignore[reportUnknownArgumentType]
+
+ return elem
+
+
+class NumPyReadOnly:
+ """
+ Variant of array_api_compat.numpy producing read-only arrays.
+
+ Read-only NumPy arrays fail on `__iadd__` etc., whereas read-only libraries such as
+ JAX and Sparse simply don't define those methods, which makes calls to `+=` fall
+ back to `__add__`.
+
+ Note that this is not a full read-only Array API library. Notably,
+ `array_namespace(x)` returns array_api_compat.numpy. This is actually the desired
+ behaviour, so that when a tested function internally calls `xp =
+ array_namespace(*args) or xp`, it will internally create writeable arrays.
+ For this reason, tests that explicitly pass xp=xp to the tested functions may
+ misbehave and should be skipped for NUMPY_READONLY.
+ """
+
+ def __getattr__(self, name: str) -> object: # numpydoc ignore=PR01,RT01
+ """Wrap all functions that return arrays to make their output read-only."""
+ func = getattr(np_compat, name)
+ if not callable(func) or isinstance(func, type):
+ return func
+ return self._wrap(func)
+
+ @staticmethod
+ def _wrap(func: Callable[P, T]) -> Callable[P, T]: # numpydoc ignore=PR01,RT01
+ """Wrap func to make all np.ndarrays it returns read-only."""
+
+ def as_readonly(o: T) -> T: # numpydoc ignore=PR01,RT01
+ """Unset the writeable flag in o."""
+ try:
+ # Don't use is_numpy_array(o), as it includes np.generic
+ if isinstance(o, np.ndarray):
+ o.flags.writeable = False
+ except TypeError:
+ # Cannot interpret as a data type
+ return o
+
+ # This works with namedtuples too
+ if isinstance(o, tuple | list):
+ return type(o)(*(as_readonly(i) for i in o)) # type: ignore[arg-type,return-value] # pyright: ignore[reportArgumentType,reportUnknownArgumentType]
+
+ return o
+
+ @wraps(func)
+ def wrapper(*args: P.args, **kwargs: P.kwargs) -> T: # numpydoc ignore=GL08
+ return as_readonly(func(*args, **kwargs))
+
+ return wrapper
+
+
+@pytest.fixture
+def xp(
+ library: Backend, request: pytest.FixtureRequest, monkeypatch: pytest.MonkeyPatch
+) -> Generator[ModuleType]: # numpydoc ignore=PR01,RT03
+ """
+ Parameterized fixture that iterates on all libraries.
+
+ Returns
+ -------
+ The current array namespace.
+ """
+ if library == Backend.NUMPY_READONLY:
+ yield NumPyReadOnly() # type: ignore[misc] # pyright: ignore[reportReturnType]
+ return
+
+ if library.like(Backend.ARRAY_API_STRICT) and NUMPY_VERSION < (1, 26):
+ pytest.skip("array_api_strict is untested on NumPy <1.26")
+
+ xp = pytest.importorskip(library.modname)
+ # Possibly wrap module with array_api_compat
+ xp = array_namespace(xp.empty(0))
+
+ if library == Backend.ARRAY_API_STRICTEST:
+ with xp.ArrayAPIStrictFlags(
+ boolean_indexing=False,
+ data_dependent_shapes=False,
+ # writeable=False, # TODO implement in array-api-strict
+ # lazy=True, # TODO implement in array-api-strict
+ enabled_extensions=(),
+ ):
+ yield xp
+ return
+
+ # On Dask and JAX, monkey-patch all functions tagged by `lazy_xp_function`
+ # in the global scope of the module containing the test function.
+ patch_lazy_xp_functions(request, monkeypatch, xp=xp)
+
+ if library.like(Backend.JAX):
+ import jax
+
+ # suppress unused-ignore to run mypy in -e lint as well as -e dev
+ jax.config.update("jax_enable_x64", True) # type: ignore[no-untyped-call,unused-ignore]
+
+ if library == Backend.JAX_GPU:
+ try:
+ device = jax.devices("cuda")[0]
+ except RuntimeError:
+ pytest.skip("no CUDA device available")
+ else:
+ device = jax.devices("cpu")[0]
+ jax.config.update("jax_default_device", device)
+
+ elif library == Backend.TORCH_GPU:
+ import torch.cuda
+
+ if not torch.cuda.is_available():
+ pytest.skip("no CUDA device available")
+ xp.set_default_device("cuda")
+
+ elif library == Backend.TORCH: # CPU
+ xp.set_default_device("cpu")
+
+ yield xp
+
+
+@pytest.fixture(params=[Backend.DASK]) # Can select the test with `pytest -k dask`
+def da(
+ request: pytest.FixtureRequest, monkeypatch: pytest.MonkeyPatch
+) -> ModuleType: # numpydoc ignore=PR01,RT01
+ """Variant of the `xp` fixture that only yields dask.array."""
+ xp = pytest.importorskip("dask.array")
+ xp = array_namespace(xp.empty(0))
+ patch_lazy_xp_functions(request, monkeypatch, xp=xp)
+ return xp
+
+
+@pytest.fixture
+def device(
+ library: Backend, xp: ModuleType
+) -> Device: # numpydoc ignore=PR01,RT01,RT03
+ """
+ Return a valid device for the backend.
+
+ Where possible, return a device that is not the default one.
+ """
+ if library == Backend.ARRAY_API_STRICT:
+ d = xp.Device("device1")
+ assert get_device(xp.empty(0)) != d
+ return d
+ return get_device(xp.empty(0))
diff --git a/tests/test_at.py b/tests/test_at.py
new file mode 100644
index 00000000..fa9bcdc8
--- /dev/null
+++ b/tests/test_at.py
@@ -0,0 +1,353 @@
+import math
+import pickle
+from collections.abc import Callable, Generator
+from contextlib import contextmanager
+from types import ModuleType
+from typing import cast
+
+import numpy as np
+import pytest
+
+from array_api_extra import at
+from array_api_extra._lib._at import _AtOp
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xp_assert_equal
+from array_api_extra._lib._utils._compat import array_namespace, is_writeable_array
+from array_api_extra._lib._utils._compat import device as get_device
+from array_api_extra._lib._utils._typing import Array, Device, SetIndex
+from array_api_extra.testing import lazy_xp_function
+
+pytestmark = [
+ pytest.mark.skip_xp_backend(
+ Backend.SPARSE, reason="read-only backend without .at support"
+ ),
+ pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="boolean indexing"),
+]
+
+
+def at_op(
+ x: Array,
+ idx: SetIndex,
+ op: _AtOp,
+ y: Array | object,
+ copy: bool | None = None,
+ xp: ModuleType | None = None,
+) -> Array:
+ """
+ Wrapper around at(x, idx).op(y, copy=copy, xp=xp).
+
+ This is a hack to allow wrapping `at()` with `lazy_xp_function`.
+ For clarity, at() itself works inside jax.jit without hacks; this is
+ just a workaround for when one wants to apply jax.jit to `at()` directly,
+ which is not a common use case.
+ """
+ if isinstance(idx, (slice | tuple)):
+ return _at_op(x, None, pickle.dumps(idx), op, y, copy=copy, xp=xp)
+ return _at_op(x, idx, None, op, y, copy=copy, xp=xp)
+
+
+def _at_op(
+ x: Array,
+ idx: SetIndex | None,
+ idx_pickle: bytes | None,
+ op: _AtOp,
+ y: Array | object,
+ copy: bool | None,
+ xp: ModuleType | None = None,
+) -> Array:
+ """jitted helper of at_op"""
+ if idx_pickle:
+ idx = pickle.loads(idx_pickle)
+ meth = cast(Callable[..., Array], getattr(at(x, cast(SetIndex, idx)), op.value)) # type: ignore[explicit-any]
+ return meth(y, copy=copy, xp=xp)
+
+
+lazy_xp_function(_at_op, static_argnames=("op", "idx_pickle", "copy", "xp"))
+
+
+@contextmanager
+def assert_copy(
+ array: Array, copy: bool | None, expect_copy: bool | None = None
+) -> Generator[None, None, None]:
+ if copy is False and not is_writeable_array(array):
+ with pytest.raises((TypeError, ValueError)):
+ yield
+ return
+
+ xp = array_namespace(array)
+ array_orig = xp.asarray(array, copy=True)
+ yield
+
+ if expect_copy is None:
+ expect_copy = copy
+
+ if expect_copy:
+ # Original has not been modified
+ xp_assert_equal(array, array_orig)
+ elif expect_copy is False:
+ # Original has been modified
+ with pytest.raises(AssertionError):
+ xp_assert_equal(array, array_orig)
+ # Test nothing for copy=None. Dask changes behaviour depending on
+ # whether it's a special case of a bool mask with scalar RHS or not.
+
+
+@pytest.mark.parametrize("copy", [False, True, None])
+@pytest.mark.parametrize(
+ ("op", "y", "expect_list"),
+ [
+ (_AtOp.SET, 40.0, [10.0, 40.0, 40.0]),
+ (_AtOp.ADD, 40.0, [10.0, 60.0, 70.0]),
+ (_AtOp.SUBTRACT, 100.0, [10.0, -80.0, -70.0]),
+ (_AtOp.MULTIPLY, 2.0, [10.0, 40.0, 60.0]),
+ (_AtOp.DIVIDE, 2.0, [10.0, 10.0, 15.0]),
+ (_AtOp.POWER, 2.0, [10.0, 400.0, 900.0]),
+ (_AtOp.MIN, 25.0, [10.0, 20.0, 25.0]),
+ (_AtOp.MAX, 25.0, [10.0, 25.0, 30.0]),
+ ],
+)
+@pytest.mark.parametrize(
+ ("bool_mask", "x_ndim", "y_ndim"),
+ [
+ (False, 1, 0),
+ (False, 1, 1),
+ (True, 1, 0), # Uses xp.where(idx, y, x) on JAX and Dask
+ pytest.param(
+ *(True, 1, 1),
+ marks=(
+ pytest.mark.xfail_xp_backend(
+ Backend.JAX,
+ reason="bool mask update with shaped rhs",
+ strict=False, # test passes when copy=False
+ ),
+ pytest.mark.xfail_xp_backend(
+ Backend.JAX_GPU,
+ reason="bool mask update with shaped rhs",
+ strict=False, # test passes when copy=False
+ ),
+ pytest.mark.xfail_xp_backend(
+ Backend.DASK, reason="bool mask update with shaped rhs"
+ ),
+ ),
+ ),
+ (False, 0, 0),
+ (True, 0, 0),
+ ],
+)
+def test_update_ops(
+ xp: ModuleType,
+ copy: bool | None,
+ op: _AtOp,
+ y: float,
+ expect_list: list[float],
+ bool_mask: bool,
+ x_ndim: int,
+ y_ndim: int,
+):
+ if x_ndim == 1:
+ x = xp.asarray([10.0, 20.0, 30.0])
+ idx = xp.asarray([False, True, True]) if bool_mask else slice(1, None)
+ expect: list[float] | float = expect_list
+ else:
+ idx = xp.asarray(True) if bool_mask else ()
+ # Pick an element that does change with the operation
+ if op is _AtOp.MIN:
+ x = xp.asarray(30.0)
+ expect = expect_list[2]
+ else:
+ x = xp.asarray(20.0)
+ expect = expect_list[1]
+
+ if y_ndim == 1:
+ y = xp.asarray([y, y])
+
+ with assert_copy(x, copy):
+ z = at_op(x, idx, op, y, copy=copy)
+ assert isinstance(z, type(x))
+ xp_assert_equal(z, xp.asarray(expect))
+
+
+@pytest.mark.parametrize("op", list(_AtOp))
+def test_copy_default(xp: ModuleType, library: Backend, op: _AtOp):
+ """
+ Test that the default copy behaviour is False for writeable arrays
+ and True for read-only ones.
+ """
+ x = xp.asarray([1.0, 10.0, 20.0])
+ expect_copy = not is_writeable_array(x)
+ meth = cast(Callable[..., Array], getattr(at(x)[:2], op.value)) # type: ignore[explicit-any]
+ with assert_copy(x, None, expect_copy):
+ _ = meth(2.0)
+
+ x = xp.asarray([1.0, 10.0, 20.0])
+ # Dask's default copy value is True for bool masks,
+ # even if the arrays are writeable.
+ expect_copy = not is_writeable_array(x) or library is Backend.DASK
+ idx = xp.asarray([True, True, False])
+ meth = cast(Callable[..., Array], getattr(at(x, idx), op.value)) # type: ignore[explicit-any]
+ with assert_copy(x, None, expect_copy):
+ _ = meth(2.0)
+
+
+def test_copy_invalid():
+ a = np.asarray([1, 2, 3])
+ with pytest.raises(ValueError, match="copy"):
+ _ = at(a, 0).set(4, copy="invalid") # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+
+
+def test_xp():
+ a = cast(Array, np.asarray([1, 2, 3])) # type: ignore[bad-cast]
+ _ = at(a, 0).set(4, xp=np)
+ _ = at(a, 0).add(4, xp=np)
+ _ = at(a, 0).subtract(4, xp=np)
+ _ = at(a, 0).multiply(4, xp=np)
+ _ = at(a, 0).divide(4, xp=np)
+ _ = at(a, 0).power(4, xp=np)
+ _ = at(a, 0).min(4, xp=np)
+ _ = at(a, 0).max(4, xp=np)
+
+
+def test_alternate_index_syntax():
+ xp = cast(ModuleType, np) # pyright: ignore[reportInvalidCast]
+ a = cast(Array, xp.asarray([1, 2, 3]))
+ xp_assert_equal(at(a, 0).set(4, copy=True), xp.asarray([4, 2, 3]))
+ xp_assert_equal(at(a)[0].set(4, copy=True), xp.asarray([4, 2, 3]))
+
+ a_at = at(a)
+ xp_assert_equal(a_at[0].add(1, copy=True), xp.asarray([2, 2, 3]))
+ xp_assert_equal(a_at[1].add(2, copy=True), xp.asarray([1, 4, 3]))
+
+ with pytest.raises(ValueError, match="Index"):
+ _ = at(a).set(4)
+ with pytest.raises(ValueError, match="Index"):
+ _ = at(a, 0)[0].set(4)
+
+
+@pytest.mark.parametrize("copy", [True, None])
+@pytest.mark.parametrize("bool_mask", [False, True])
+@pytest.mark.parametrize("op", list(_AtOp))
+def test_incompatible_dtype(
+ xp: ModuleType,
+ library: Backend,
+ op: _AtOp,
+ copy: bool | None,
+ bool_mask: bool,
+):
+ """Test that at() replicates the backend's behaviour for
+ in-place operations with incompatible dtypes.
+
+ Behavior is backend-specific, but only two behaviors are allowed:
+ 1. raise an exception, or
+ 2. return the same dtype as x, disregarding y.dtype (no broadcasting).
+
+ Note that __i__ and ____ behave differently, and we want to
+ replicate the behavior of __i__:
+
+ >>> a = np.asarray([1, 2, 3])
+ >>> a / 1.5
+ array([0. , 0.66666667, 1.33333333])
+ >>> a /= 1.5
+ UFuncTypeError: Cannot cast ufunc 'divide' output from dtype('float64')
+ to dtype('int64') with casting rule 'same_kind'
+ """
+ x = xp.asarray([2, 4])
+ idx = xp.asarray([True, False]) if bool_mask else slice(None)
+ z = None
+
+ if library.like(Backend.JAX):
+ if bool_mask:
+ z = at_op(x, idx, op, 1.1, copy=copy)
+ else:
+ with pytest.warns(FutureWarning, match="cannot safely cast"):
+ z = at_op(x, idx, op, 1.1, copy=copy)
+
+ elif library.like(Backend.DASK):
+ z = at_op(x, idx, op, 1.1, copy=copy)
+
+ elif library.like(Backend.ARRAY_API_STRICT) and op is not _AtOp.SET:
+ with pytest.raises(Exception, match=r"cast|promote|dtype"):
+ _ = at_op(x, idx, op, 1.1, copy=copy)
+
+ elif op in (_AtOp.SET, _AtOp.MIN, _AtOp.MAX):
+ # There is no __i__ version of these operations
+ z = at_op(x, idx, op, 1.1, copy=copy)
+
+ else:
+ with pytest.raises(Exception, match=r"cast|promote|dtype"):
+ _ = at_op(x, idx, op, 1.1, copy=copy)
+
+ assert z is None or z.dtype == x.dtype
+
+
+def test_bool_mask_nd(xp: ModuleType):
+ x = xp.asarray([[1, 2, 3], [4, 5, 6]])
+ idx = xp.asarray([[True, False, False], [False, True, True]])
+ z = at_op(x, idx, _AtOp.SET, 0)
+ xp_assert_equal(z, xp.asarray([[0, 2, 3], [4, 0, 0]]))
+
+
+@pytest.mark.parametrize("bool_mask", [False, True])
+def test_no_inf_warnings(xp: ModuleType, bool_mask: bool):
+ x = xp.asarray([math.inf, 1.0, 2.0])
+ idx = ~xp.isinf(x) if bool_mask else slice(1, None)
+ # inf - inf -> nan with a warning
+ z = at_op(x, idx, _AtOp.SUBTRACT, math.inf)
+ xp_assert_equal(z, xp.asarray([math.inf, -math.inf, -math.inf]))
+
+
+@pytest.mark.parametrize(
+ "copy",
+ [
+ None,
+ pytest.param(
+ False,
+ marks=[
+ pytest.mark.skip_xp_backend(
+ Backend.NUMPY, reason="np.generic is read-only"
+ ),
+ pytest.mark.skip_xp_backend(
+ Backend.NUMPY_READONLY, reason="read-only backend"
+ ),
+ pytest.mark.skip_xp_backend(Backend.JAX, reason="read-only backend"),
+ pytest.mark.skip_xp_backend(
+ Backend.JAX_GPU, reason="read-only backend"
+ ),
+ pytest.mark.skip_xp_backend(Backend.SPARSE, reason="read-only backend"),
+ ],
+ ),
+ ],
+)
+@pytest.mark.parametrize("bool_mask", [False, True])
+def test_gh134(xp: ModuleType, bool_mask: bool, copy: bool | None):
+ """
+ Test that xpx.at doesn't encroach in a bug of dask.array.Array.__setitem__, which
+ blindly assumes that chunk contents are writeable np.ndarray objects:
+
+ https://github.com/dask/dask/issues/11722
+
+ In other words: when special-casing bool masks for Dask, unless the user explicitly
+ asks for copy=False, do not needlessly write back to the input.
+ """
+ x = xp.zeros(1)
+
+ # In NumPy, we have a writeable np.ndarray in input and a read-only np.generic in
+ # output. As both are Arrays, this behaviour is Array API compliant.
+ # In Dask, we have a writeable da.Array on both sides, and if you call __setitem__
+ # on it all seems fine, but when you compute() your graph is corrupted.
+ y = x[0]
+
+ idx = xp.asarray(True) if bool_mask else ()
+ z = at_op(y, idx, _AtOp.SET, 1, copy=copy)
+ xp_assert_equal(z, xp.asarray(1, dtype=x.dtype))
+
+
+def test_device(xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3], device=device)
+
+ y = xp.asarray([4, 5], device=device)
+ z = at(x)[:2].set(y)
+ assert get_device(z) == get_device(x)
+
+ idx = xp.asarray([True, False, True], device=device)
+ z = at(x)[idx].set(4)
+ assert get_device(z) == get_device(x)
diff --git a/tests/test_funcs.py b/tests/test_funcs.py
index 36411958..0cee0b4d 100644
--- a/tests/test_funcs.py
+++ b/tests/test_funcs.py
@@ -1,198 +1,770 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-import contextlib
-import typing
+import math
import warnings
+from types import ModuleType
+from typing import Any, cast
-# data-apis/array-api-strict#6
-import array_api_strict as xp # type: ignore[import-untyped] # pyright: ignore[reportMissingTypeStubs]
+import hypothesis
+import hypothesis.extra.numpy as npst
import numpy as np
import pytest
-from numpy.testing import assert_allclose, assert_array_equal, assert_equal
+from hypothesis import given
+from hypothesis import strategies as st
from array_api_extra import (
+ apply_where,
+ at,
atleast_nd,
+ broadcast_shapes,
cov,
create_diagonal,
expand_dims,
+ isclose,
kron,
+ nunique,
+ pad,
setdiff1d,
sinc,
)
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xp_assert_close, xp_assert_equal
+from array_api_extra._lib._utils._compat import device as get_device
+from array_api_extra._lib._utils._helpers import eager_shape, ndindex
+from array_api_extra._lib._utils._typing import Array, Device
+from array_api_extra.testing import lazy_xp_function
+
+from .conftest import NUMPY_VERSION
+
+# some xp backends are untyped
+# mypy: disable-error-code=no-untyped-def
+
+lazy_xp_function(apply_where, static_argnums=(2, 3), static_argnames="xp")
+lazy_xp_function(atleast_nd, static_argnames=("ndim", "xp"))
+lazy_xp_function(cov, static_argnames="xp")
+lazy_xp_function(create_diagonal, static_argnames=("offset", "xp"))
+lazy_xp_function(expand_dims, static_argnames=("axis", "xp"))
+lazy_xp_function(kron, static_argnames="xp")
+lazy_xp_function(nunique, static_argnames="xp")
+lazy_xp_function(pad, static_argnames=("pad_width", "mode", "constant_values", "xp"))
+# FIXME calls in1d which calls xp.unique_values without size
+lazy_xp_function(setdiff1d, jax_jit=False, static_argnames=("assume_unique", "xp"))
+lazy_xp_function(sinc, static_argnames="xp")
+
+
+class TestApplyWhere:
+ @staticmethod
+ def f1(x: Array, y: Array | int = 10) -> Array:
+ return x + y
+
+ @staticmethod
+ def f2(x: Array, y: Array | int = 10) -> Array:
+ return x - y
+
+ def test_f1_f2(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3, 4])
+ cond = x % 2 == 0
+ actual = apply_where(cond, x, self.f1, self.f2)
+ expect = xp.where(cond, self.f1(x), self.f2(x))
+ xp_assert_equal(actual, expect)
+
+ def test_fill_value(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3, 4])
+ cond = x % 2 == 0
+ actual = apply_where(x % 2 == 0, x, self.f1, fill_value=0)
+ expect = xp.where(cond, self.f1(x), xp.asarray(0))
+ xp_assert_equal(actual, expect)
+
+ actual = apply_where(x % 2 == 0, x, self.f1, fill_value=xp.asarray(0))
+ xp_assert_equal(actual, expect)
+
+ def test_args_tuple(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3, 4])
+ y = xp.asarray([10, 20, 30, 40])
+ cond = x % 2 == 0
+ actual = apply_where(cond, (x, y), self.f1, self.f2)
+ expect = xp.where(cond, self.f1(x, y), self.f2(x, y))
+ xp_assert_equal(actual, expect)
+
+ def test_broadcast(self, xp: ModuleType):
+ x = xp.asarray([1, 2])
+ y = xp.asarray([[10], [20], [30]])
+ cond = xp.broadcast_to(xp.asarray(True), (4, 1, 1))
+
+ actual = apply_where(cond, (x, y), self.f1, self.f2)
+ expect = xp.where(cond, self.f1(x, y), self.f2(x, y))
+ xp_assert_equal(actual, expect)
+
+ actual = apply_where(
+ cond,
+ (x, y),
+ lambda x, _: x, # pyright: ignore[reportUnknownArgumentType]
+ lambda _, y: y, # pyright: ignore[reportUnknownArgumentType]
+ )
+ expect = xp.where(cond, x, y)
+ xp_assert_equal(actual, expect)
+
+ # Shaped fill_value
+ actual = apply_where(cond, x, self.f1, fill_value=y)
+ expect = xp.where(cond, self.f1(x), y)
+ xp_assert_equal(actual, expect)
+
+ def test_dtype_propagation(self, xp: ModuleType, library: Backend):
+ x = xp.asarray([1, 2], dtype=xp.int8)
+ y = xp.asarray([3, 4], dtype=xp.int16)
+ cond = x % 2 == 0
+
+ mxp = np if library is Backend.DASK else xp
+ actual = apply_where(
+ cond,
+ (x, y),
+ self.f1,
+ lambda x, y: mxp.astype(x - y, xp.int64), # pyright: ignore[reportArgumentType,reportUnknownArgumentType]
+ )
+ assert actual.dtype == xp.int64
+
+ actual = apply_where(cond, y, self.f1, fill_value=5)
+ assert actual.dtype == xp.int16
+
+ @pytest.mark.parametrize("fill_value_raw", [3, [3, 4]])
+ @pytest.mark.parametrize(
+ ("fill_value_dtype", "expect_dtype"), [("int32", "int32"), ("int8", "int16")]
+ )
+ def test_dtype_propagation_fill_value(
+ self,
+ xp: ModuleType,
+ fill_value_raw: int | list[int],
+ fill_value_dtype: str,
+ expect_dtype: str,
+ ):
+ x = xp.asarray([1, 2], dtype=xp.int16)
+ cond = x % 2 == 0
+ fill_value = xp.asarray(fill_value_raw, dtype=getattr(xp, fill_value_dtype))
+
+ actual = apply_where(cond, x, self.f1, fill_value=fill_value)
+ assert actual.dtype == getattr(xp, expect_dtype)
+
+ def test_dont_overwrite_fill_value(self, xp: ModuleType):
+ x = xp.asarray([1, 2])
+ fill_value = xp.asarray([100, 200])
+ actual = apply_where(x % 2 == 0, x, self.f1, fill_value=fill_value)
+ xp_assert_equal(actual, xp.asarray([100, 12]))
+ xp_assert_equal(fill_value, xp.asarray([100, 200]))
+
+ @pytest.mark.skip_xp_backend(
+ Backend.ARRAY_API_STRICTEST,
+ reason="no boolean indexing -> run everywhere",
+ )
+ @pytest.mark.skip_xp_backend(
+ Backend.SPARSE,
+ reason="no indexing by sparse array -> run everywhere",
+ )
+ def test_dont_run_on_false(self, xp: ModuleType):
+ x = xp.asarray([1.0, 2.0, 0.0])
+ y = xp.asarray([0.0, 3.0, 4.0])
+ # On NumPy, division by zero will trigger warnings
+ actual = apply_where(
+ x == 0,
+ (x, y),
+ lambda x, y: x / y, # pyright: ignore[reportUnknownArgumentType]
+ lambda x, y: y / x, # pyright: ignore[reportUnknownArgumentType]
+ )
+ xp_assert_equal(actual, xp.asarray([0.0, 1.5, 0.0]))
+
+ def test_bad_args(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3, 4])
+ cond = x % 2 == 0
+ # Neither f2 nor fill_value
+ with pytest.raises(TypeError, match="Exactly one of"):
+ apply_where(cond, x, self.f1) # type: ignore[call-overload] # pyright: ignore[reportCallIssue]
+ # Both f2 and fill_value
+ with pytest.raises(TypeError, match="Exactly one of"):
+ apply_where(cond, x, self.f1, self.f2, fill_value=0) # type: ignore[call-overload] # pyright: ignore[reportCallIssue]
+
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_xp(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3, 4])
+ cond = x % 2 == 0
+ actual = apply_where(cond, x, self.f1, self.f2, xp=xp)
+ expect = xp.where(cond, self.f1(x), self.f2(x))
+ xp_assert_equal(actual, expect)
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3, 4], device=device)
+ y = apply_where(x % 2 == 0, x, self.f1, self.f2)
+ assert get_device(y) == device
+ y = apply_where(x % 2 == 0, x, self.f1, fill_value=0)
+ assert get_device(y) == device
+ y = apply_where(x % 2 == 0, x, self.f1, fill_value=x)
+ assert get_device(y) == device
+
+ @pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
+ @pytest.mark.filterwarnings("ignore::RuntimeWarning") # overflows, etc.
+ @hypothesis.settings(
+ # The xp and library fixtures are not regenerated between hypothesis iterations
+ suppress_health_check=[hypothesis.HealthCheck.function_scoped_fixture],
+ # JAX can take a long time to initialize on the first call
+ deadline=None,
+ )
+ @given(
+ n_arrays=st.integers(min_value=1, max_value=3),
+ rng_seed=st.integers(min_value=1000000000, max_value=9999999999),
+ dtype=st.sampled_from((np.float32, np.float64)),
+ p=st.floats(min_value=0, max_value=1),
+ data=st.data(),
+ )
+ def test_hypothesis( # type: ignore[explicit-any,decorated-any]
+ self,
+ n_arrays: int,
+ rng_seed: int,
+ dtype: np.dtype[Any],
+ p: float,
+ data: st.DataObject,
+ xp: ModuleType,
+ library: Backend,
+ ):
+ if (
+ library.like(Backend.NUMPY)
+ and NUMPY_VERSION < (2, 0)
+ and dtype is np.float32
+ ):
+ pytest.xfail(reason="NumPy 1.x dtype promotion for scalars")
+
+ mbs = npst.mutually_broadcastable_shapes(num_shapes=n_arrays + 1, min_side=0)
+ input_shapes, _ = data.draw(mbs)
+ cond_shape, *shapes = input_shapes
+
+ # cupy/cupy#8382
+ # https://github.com/jax-ml/jax/issues/26658
+ elements = {"allow_subnormal": not library.like(Backend.CUPY, Backend.JAX)}
+
+ fill_value = xp.asarray(
+ data.draw(npst.arrays(dtype=dtype, shape=(), elements=elements))
+ )
+ float_fill_value = float(fill_value)
+ if library is Backend.CUPY and dtype is np.float32:
+ # Avoid data-dependent dtype promotion when encountering subnormals
+ # close to the max float32 value
+ float_fill_value = float(np.clip(float_fill_value, -1e38, 1e38))
+
+ arrays = tuple(
+ xp.asarray(
+ data.draw(npst.arrays(dtype=dtype, shape=shape, elements=elements))
+ )
+ for shape in shapes
+ )
+
+ def f1(*args: Array) -> Array:
+ return cast(Array, sum(args))
+
+ def f2(*args: Array) -> Array:
+ return cast(Array, sum(args) / 2)
+
+ rng = np.random.default_rng(rng_seed)
+ cond = xp.asarray(rng.random(size=cond_shape) > p)
+
+ res1 = apply_where(cond, arrays, f1, fill_value=fill_value)
+ res2 = apply_where(cond, arrays, f1, f2)
+ res3 = apply_where(cond, arrays, f1, fill_value=float_fill_value)
+
+ ref1 = xp.where(cond, f1(*arrays), fill_value)
+ ref2 = xp.where(cond, f1(*arrays), f2(*arrays))
+ ref3 = xp.where(cond, f1(*arrays), float_fill_value)
-if typing.TYPE_CHECKING:
- from array_api_extra._lib._typing import Array
+ xp_assert_close(res1, ref1, rtol=2e-16)
+ xp_assert_equal(res2, ref2)
+ xp_assert_equal(res3, ref3)
class TestAtLeastND:
- def test_0D(self):
- x = xp.asarray(1)
+ def test_0D(self, xp: ModuleType):
+ x = xp.asarray(1.0)
- y = atleast_nd(x, ndim=0, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=0)
+ xp_assert_equal(y, x)
- y = atleast_nd(x, ndim=1, xp=xp)
- assert_array_equal(y, xp.ones((1,)))
+ y = atleast_nd(x, ndim=1)
+ xp_assert_equal(y, xp.ones((1,)))
- y = atleast_nd(x, ndim=5, xp=xp)
- assert_array_equal(y, xp.ones((1, 1, 1, 1, 1)))
+ y = atleast_nd(x, ndim=5)
+ xp_assert_equal(y, xp.ones((1, 1, 1, 1, 1)))
- def test_1D(self):
+ def test_1D(self, xp: ModuleType):
x = xp.asarray([0, 1])
- y = atleast_nd(x, ndim=0, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=0)
+ xp_assert_equal(y, x)
- y = atleast_nd(x, ndim=1, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=1)
+ xp_assert_equal(y, x)
- y = atleast_nd(x, ndim=2, xp=xp)
- assert_array_equal(y, xp.asarray([[0, 1]]))
+ y = atleast_nd(x, ndim=2)
+ xp_assert_equal(y, xp.asarray([[0, 1]]))
- y = atleast_nd(x, ndim=5, xp=xp)
- assert_array_equal(y, xp.reshape(xp.arange(2), (1, 1, 1, 1, 2)))
+ y = atleast_nd(x, ndim=5)
+ xp_assert_equal(y, xp.asarray([[[[[0, 1]]]]]))
- def test_2D(self):
- x = xp.asarray([[3]])
+ def test_2D(self, xp: ModuleType):
+ x = xp.asarray([[3.0]])
- y = atleast_nd(x, ndim=0, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=0)
+ xp_assert_equal(y, x)
- y = atleast_nd(x, ndim=2, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=2)
+ xp_assert_equal(y, x)
- y = atleast_nd(x, ndim=3, xp=xp)
- assert_array_equal(y, 3 * xp.ones((1, 1, 1)))
+ y = atleast_nd(x, ndim=3)
+ xp_assert_equal(y, 3 * xp.ones((1, 1, 1)))
- y = atleast_nd(x, ndim=5, xp=xp)
- assert_array_equal(y, 3 * xp.ones((1, 1, 1, 1, 1)))
+ y = atleast_nd(x, ndim=5)
+ xp_assert_equal(y, 3 * xp.ones((1, 1, 1, 1, 1)))
- def test_5D(self):
+ def test_5D(self, xp: ModuleType):
x = xp.ones((1, 1, 1, 1, 1))
- y = atleast_nd(x, ndim=0, xp=xp)
- assert_array_equal(y, x)
+ y = atleast_nd(x, ndim=0)
+ xp_assert_equal(y, x)
+
+ y = atleast_nd(x, ndim=4)
+ xp_assert_equal(y, x)
+
+ y = atleast_nd(x, ndim=5)
+ xp_assert_equal(y, x)
+
+ y = atleast_nd(x, ndim=6)
+ xp_assert_equal(y, xp.ones((1, 1, 1, 1, 1, 1)))
+
+ y = atleast_nd(x, ndim=9)
+ xp_assert_equal(y, xp.ones((1, 1, 1, 1, 1, 1, 1, 1, 1)))
- y = atleast_nd(x, ndim=4, xp=xp)
- assert_array_equal(y, x)
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3], device=device)
+ assert get_device(atleast_nd(x, ndim=2)) == device
- y = atleast_nd(x, ndim=5, xp=xp)
- assert_array_equal(y, x)
+ def test_xp(self, xp: ModuleType):
+ x = xp.asarray(1.0)
+ y = atleast_nd(x, ndim=1, xp=xp)
+ xp_assert_equal(y, xp.ones((1,)))
+
+
+class TestBroadcastShapes:
+ @pytest.mark.parametrize(
+ "args",
+ [
+ (),
+ ((),),
+ ((), ()),
+ ((1,),),
+ ((1,), (1,)),
+ ((2,), (1,)),
+ ((3, 1, 4), (2, 1)),
+ ((1, 1, 4), (2, 1)),
+ ((1,), ()),
+ ((), (2,), ()),
+ ((0,),),
+ ((0,), (1,)),
+ ((2, 0), (1, 1)),
+ ((2, 0, 3), (2, 1, 1)),
+ ],
+ )
+ def test_simple(self, args: tuple[tuple[int, ...], ...]):
+ expect = np.broadcast_shapes(*args)
+ actual = broadcast_shapes(*args)
+ assert actual == expect
- y = atleast_nd(x, ndim=6, xp=xp)
- assert_array_equal(y, xp.ones((1, 1, 1, 1, 1, 1)))
+ @pytest.mark.parametrize(
+ "args",
+ [
+ ((2,), (3,)),
+ ((2, 3), (1, 2)),
+ ((2,), (0,)),
+ ((2, 0, 2), (1, 3, 1)),
+ ],
+ )
+ def test_fail(self, args: tuple[tuple[int, ...], ...]):
+ match = "cannot be broadcast to a single shape"
+ with pytest.raises(ValueError, match=match):
+ _ = np.broadcast_shapes(*args)
+ with pytest.raises(ValueError, match=match):
+ _ = broadcast_shapes(*args)
- y = atleast_nd(x, ndim=9, xp=xp)
- assert_array_equal(y, xp.ones((1, 1, 1, 1, 1, 1, 1, 1, 1)))
+ @pytest.mark.parametrize(
+ "args",
+ [
+ ((None,), (None,)),
+ ((math.nan,), (None,)),
+ ((1, None, 2, 4), (2, 3, None, 1), (2, None, None, 4)),
+ ((1, math.nan, 2), (4, 2, 3, math.nan), (4, 2, None, None)),
+ ((math.nan, 1), (None, 2), (None, 2)),
+ ],
+ )
+ def test_none(self, args: tuple[tuple[float | None, ...], ...]):
+ expect = args[-1]
+ actual = broadcast_shapes(*args[:-1])
+ assert actual == expect
+@pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
class TestCov:
- def test_basic(self):
- assert_allclose(
- cov(xp.asarray([[0, 2], [1, 1], [2, 0]]).T, xp=xp),
- xp.asarray([[1.0, -1.0], [-1.0, 1.0]]),
+ def test_basic(self, xp: ModuleType):
+ xp_assert_close(
+ cov(xp.asarray([[0, 2], [1, 1], [2, 0]]).T),
+ xp.asarray([[1.0, -1.0], [-1.0, 1.0]], dtype=xp.float64),
)
- def test_complex(self):
- x = xp.asarray([[1, 2, 3], [1j, 2j, 3j]])
- res = xp.asarray([[1.0, -1.0j], [1.0j, 1.0]])
- assert_allclose(cov(x, xp=xp), res)
+ def test_complex(self, xp: ModuleType):
+ actual = cov(xp.asarray([[1, 2, 3], [1j, 2j, 3j]]))
+ expect = xp.asarray([[1.0, -1.0j], [1.0j, 1.0]], dtype=xp.complex128)
+ xp_assert_close(actual, expect)
- def test_empty(self):
+ def test_empty(self, xp: ModuleType):
with warnings.catch_warnings(record=True):
warnings.simplefilter("always", RuntimeWarning)
- assert_array_equal(cov(xp.asarray([]), xp=xp), xp.nan)
- assert_array_equal(
- cov(xp.reshape(xp.asarray([]), (0, 2)), xp=xp),
- xp.reshape(xp.asarray([]), (0, 0)),
+ xp_assert_equal(cov(xp.asarray([])), xp.asarray(xp.nan, dtype=xp.float64))
+ xp_assert_equal(
+ cov(xp.reshape(xp.asarray([]), (0, 2))),
+ xp.reshape(xp.asarray([], dtype=xp.float64), (0, 0)),
)
- assert_array_equal(
- cov(xp.reshape(xp.asarray([]), (2, 0)), xp=xp),
- xp.asarray([[xp.nan, xp.nan], [xp.nan, xp.nan]]),
+ xp_assert_equal(
+ cov(xp.reshape(xp.asarray([]), (2, 0))),
+ xp.asarray([[xp.nan, xp.nan], [xp.nan, xp.nan]], dtype=xp.float64),
)
- def test_combination(self):
+ def test_combination(self, xp: ModuleType):
x = xp.asarray([-2.1, -1, 4.3])
y = xp.asarray([3, 1.1, 0.12])
X = xp.stack((x, y), axis=0)
- desired = xp.asarray([[11.71, -4.286], [-4.286, 2.144133]])
- assert_allclose(cov(X, xp=xp), desired, rtol=1e-6)
- assert_allclose(cov(x, xp=xp), xp.asarray(11.71))
- assert_allclose(cov(y, xp=xp), xp.asarray(2.144133), rtol=1e-6)
+ desired = xp.asarray([[11.71, -4.286], [-4.286, 2.144133]], dtype=xp.float64)
+ xp_assert_close(cov(X), desired, rtol=1e-6)
+ xp_assert_close(cov(x), xp.asarray(11.71, dtype=xp.float64))
+ xp_assert_close(cov(y), xp.asarray(2.144133, dtype=xp.float64), rtol=1e-6)
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3], device=device)
+ assert get_device(cov(x)) == device
+
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_xp(self, xp: ModuleType):
+ xp_assert_close(
+ cov(xp.asarray([[0.0, 2.0], [1.0, 1.0], [2.0, 0.0]]).T, xp=xp),
+ xp.asarray([[1.0, -1.0], [-1.0, 1.0]], dtype=xp.float64),
+ )
+@pytest.mark.skip_xp_backend(
+ Backend.SPARSE, reason="read-only backend without .at support"
+)
class TestCreateDiagonal:
- def test_1d(self):
+ def test_1d_from_numpy(self, xp: ModuleType):
# from np.diag tests
vals = 100 * xp.arange(5, dtype=xp.float64)
- b = xp.zeros((5, 5))
+ b = xp.zeros((5, 5), dtype=xp.float64)
for k in range(5):
- b[k, k] = vals[k]
- assert_array_equal(create_diagonal(vals, xp=xp), b)
- b = xp.zeros((7, 7))
+ b = at(b)[k, k].set(vals[k])
+ xp_assert_equal(create_diagonal(vals), b)
+ b = xp.zeros((7, 7), dtype=xp.float64)
c = xp.asarray(b, copy=True)
for k in range(5):
- b[k, k + 2] = vals[k]
- c[k + 2, k] = vals[k]
- assert_array_equal(create_diagonal(vals, offset=2, xp=xp), b)
- assert_array_equal(create_diagonal(vals, offset=-2, xp=xp), c)
+ b = at(b)[k, k + 2].set(vals[k])
+ c = at(c)[k + 2, k].set(vals[k])
+ xp_assert_equal(create_diagonal(vals, offset=2), b)
+ xp_assert_equal(create_diagonal(vals, offset=-2), c)
@pytest.mark.parametrize("n", range(1, 10))
@pytest.mark.parametrize("offset", range(1, 10))
- def test_create_diagonal(self, n: int, offset: int):
+ def test_1d_from_scipy(self, xp: ModuleType, n: int, offset: int):
# from scipy._lib tests
rng = np.random.default_rng(2347823)
one = xp.asarray(1.0)
x = rng.random(n)
- A = create_diagonal(xp.asarray(x, dtype=one.dtype), offset=offset, xp=xp)
+ A = create_diagonal(xp.asarray(x, dtype=one.dtype), offset=offset)
B = xp.asarray(np.diag(x, offset), dtype=one.dtype)
- assert_array_equal(A, B)
+ xp_assert_equal(A, B)
- def test_0d(self):
+ def test_0d_raises(self, xp: ModuleType):
with pytest.raises(ValueError, match="1-dimensional"):
- create_diagonal(xp.asarray(1), xp=xp)
+ _ = create_diagonal(xp.asarray(1))
- def test_2d(self):
- with pytest.raises(ValueError, match="1-dimensional"):
- create_diagonal(xp.asarray([[1]]), xp=xp)
+ @pytest.mark.parametrize(
+ "shape",
+ [
+ (0,),
+ (10,),
+ (0, 1),
+ (1, 0),
+ (0, 0),
+ (4, 2, 1),
+ (1, 1, 7),
+ (0, 0, 1),
+ (3, 2, 4, 5),
+ ],
+ )
+ def test_nd(self, xp: ModuleType, shape: tuple[int, ...]):
+ rng = np.random.default_rng(2347823)
+ b = xp.asarray(
+ rng.integers((1 << 64) - 1, size=shape, dtype=np.uint64), dtype=xp.uint64
+ )
+ c = create_diagonal(b)
+ zero = xp.zeros((), dtype=xp.uint64)
+ assert c.shape == (*b.shape, b.shape[-1])
+ for i in ndindex(*eager_shape(c)):
+ xp_assert_equal(c[i], b[i[:-1]] if i[-2] == i[-1] else zero)
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3], device=device)
+ assert get_device(create_diagonal(x)) == device
+
+ def test_xp(self, xp: ModuleType):
+ x = xp.asarray([1, 2])
+ y = create_diagonal(x, xp=xp)
+ xp_assert_equal(y, xp.asarray([[1, 0], [0, 2]]))
+
+
+class TestExpandDims:
+ def test_single_axis(self, xp: ModuleType):
+ """Trivial case where xpx.expand_dims doesn't add anything to xp.expand_dims"""
+ a = xp.asarray(np.reshape(np.arange(2 * 3 * 4 * 5), (2, 3, 4, 5)))
+ for axis in range(-5, 4):
+ b = expand_dims(a, axis=axis)
+ xp_assert_equal(b, xp.expand_dims(a, axis=axis))
+
+ def test_axis_tuple(self, xp: ModuleType):
+ a = xp.empty((3, 3, 3))
+ assert expand_dims(a, axis=(0, 1, 2)).shape == (1, 1, 1, 3, 3, 3)
+ assert expand_dims(a, axis=(0, -1, -2)).shape == (1, 3, 3, 3, 1, 1)
+ assert expand_dims(a, axis=(0, 3, 5)).shape == (1, 3, 3, 1, 3, 1)
+ assert expand_dims(a, axis=(0, -3, -5)).shape == (1, 1, 3, 1, 3, 3)
+
+ def test_axis_out_of_range(self, xp: ModuleType):
+ a = xp.empty((2, 3, 4, 5))
+ with pytest.raises(IndexError, match="out of bounds"):
+ _ = expand_dims(a, axis=-6)
+ with pytest.raises(IndexError, match="out of bounds"):
+ _ = expand_dims(a, axis=5)
+
+ a = xp.empty((3, 3, 3))
+ with pytest.raises(IndexError, match="out of bounds"):
+ _ = expand_dims(a, axis=(0, -6))
+ with pytest.raises(IndexError, match="out of bounds"):
+ _ = expand_dims(a, axis=(0, 5))
+
+ def test_repeated_axis(self, xp: ModuleType):
+ a = xp.empty((3, 3, 3))
+ with pytest.raises(ValueError, match="Duplicate dimensions"):
+ _ = expand_dims(a, axis=(1, 1))
+
+ def test_positive_negative_repeated(self, xp: ModuleType):
+ # https://github.com/data-apis/array-api/issues/760#issuecomment-1989449817
+ a = xp.empty((2, 3, 4, 5))
+ with pytest.raises(ValueError, match="Duplicate dimensions"):
+ _ = expand_dims(a, axis=(3, -3))
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray([1, 2, 3], device=device)
+ assert get_device(expand_dims(x, axis=0)) == device
+
+ def test_xp(self, xp: ModuleType):
+ x = xp.asarray([1, 2, 3])
+ y = expand_dims(x, axis=(0, 1, 2), xp=xp)
+ assert y.shape == (1, 1, 1, 3)
+
+
+@pytest.mark.filterwarnings( # array_api_strictest
+ "ignore:invalid value encountered:RuntimeWarning:array_api_strict"
+)
+@pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
+class TestIsClose:
+ @pytest.mark.parametrize("swap", [False, True])
+ @pytest.mark.parametrize(
+ ("a", "b"),
+ [
+ (0.0, 0.0),
+ (1.0, 1.0),
+ (1.0, 2.0),
+ (1.0, -1.0),
+ (100.0, 101.0),
+ (0, 0),
+ (1, 1),
+ (1, 2),
+ (1, -1),
+ (1.0 + 1j, 1.0 + 1j),
+ (1.0 + 1j, 1.0 - 1j),
+ (float("inf"), float("inf")),
+ (float("inf"), 100.0),
+ (float("inf"), float("-inf")),
+ (float("-inf"), float("-inf")),
+ (float("nan"), float("nan")),
+ (float("nan"), 100.0),
+ (1e6, 1e6 + 1), # True - within rtol
+ (1e6, 1e6 + 100), # False - outside rtol
+ (1e-6, 1.1e-6), # False - outside atol
+ (1e-7, 1.1e-7), # True - outside atol
+ (1e6 + 0j, 1e6 + 1j), # True - within rtol
+ (1e6 + 0j, 1e6 + 100j), # False - outside rtol
+ ],
+ )
+ def test_basic(self, a: float, b: float, swap: bool, xp: ModuleType):
+ if swap:
+ b, a = a, b
+ a_xp = xp.asarray(a)
+ b_xp = xp.asarray(b)
+
+ xp_assert_equal(isclose(a_xp, b_xp), xp.asarray(np.isclose(a, b)))
+
+ with warnings.catch_warnings():
+ warnings.simplefilter("ignore")
+ ar_np = a * np.arange(10)
+ br_np = b * np.arange(10)
+ ar_xp = xp.asarray(ar_np)
+ br_xp = xp.asarray(br_np)
+
+ xp_assert_equal(isclose(ar_xp, br_xp), xp.asarray(np.isclose(ar_np, br_np)))
+
+ @pytest.mark.parametrize("dtype", ["float32", "int32"])
+ def test_broadcast(self, dtype: str, xp: ModuleType):
+ dtype = getattr(xp, dtype)
+ a = xp.asarray([1, 2, 3], dtype=dtype)
+ b = xp.asarray([[1], [5]], dtype=dtype)
+ actual = isclose(a, b)
+ expect = xp.asarray(
+ [[True, False, False], [False, False, False]], dtype=xp.bool
+ )
+
+ xp_assert_equal(actual, expect)
+
+ def test_some_inf(self, xp: ModuleType):
+ a = xp.asarray([0.0, 1.0, xp.inf, xp.inf, xp.inf])
+ b = xp.asarray([1e-9, 1.0, xp.inf, -xp.inf, 2.0])
+ actual = isclose(a, b)
+ xp_assert_equal(actual, xp.asarray([True, True, True, False, False]))
+
+ def test_equal_nan(self, xp: ModuleType):
+ a = xp.asarray([xp.nan, xp.nan, 1.0])
+ b = xp.asarray([xp.nan, 1.0, xp.nan])
+ xp_assert_equal(isclose(a, b), xp.asarray([False, False, False]))
+ xp_assert_equal(isclose(a, b, equal_nan=True), xp.asarray([True, False, False]))
+
+ @pytest.mark.parametrize("dtype", ["float32", "complex64", "int32"])
+ def test_tolerance(self, dtype: str, xp: ModuleType):
+ dtype = getattr(xp, dtype)
+ a = xp.asarray([100, 100], dtype=dtype)
+ b = xp.asarray([101, 102], dtype=dtype)
+ xp_assert_equal(isclose(a, b), xp.asarray([False, False]))
+ xp_assert_equal(isclose(a, b, atol=1), xp.asarray([True, False]))
+ xp_assert_equal(isclose(a, b, rtol=0.01), xp.asarray([True, False]))
+
+ # Attempt to trigger division by 0 in rtol on int dtype
+ xp_assert_equal(isclose(a, b, rtol=0), xp.asarray([False, False]))
+ xp_assert_equal(isclose(a, b, atol=1, rtol=0), xp.asarray([True, False]))
+
+ @pytest.mark.parametrize("dtype", ["int8", "uint8"])
+ def test_tolerance_integer_overflow(self, dtype: str, xp: ModuleType):
+ """1/rtol is too large for dtype"""
+ a = xp.asarray([100, 100], dtype=getattr(xp, dtype))
+ b = xp.asarray([100, 101], dtype=getattr(xp, dtype))
+ xp_assert_equal(isclose(a, b), xp.asarray([True, False]))
+
+ def test_very_small_numbers(self, xp: ModuleType):
+ a = xp.asarray([1e-9, 1e-9])
+ b = xp.asarray([1.0001e-9, 1.00001e-9])
+ # Difference is below default atol
+ xp_assert_equal(isclose(a, b), xp.asarray([True, True]))
+ # Use only rtol
+ xp_assert_equal(isclose(a, b, atol=0), xp.asarray([False, True]))
+ xp_assert_equal(isclose(a, b, atol=0, rtol=0), xp.asarray([False, False]))
+
+ def test_bool_dtype(self, xp: ModuleType):
+ a = xp.asarray([False, True, False])
+ b = xp.asarray([True, True, False])
+ xp_assert_equal(isclose(a, b), xp.asarray([False, True, True]))
+ xp_assert_equal(isclose(a, b, atol=1), xp.asarray([True, True, True]))
+ xp_assert_equal(isclose(a, b, atol=2), xp.asarray([True, True, True]))
+ xp_assert_equal(isclose(a, b, rtol=1), xp.asarray([True, True, True]))
+ xp_assert_equal(isclose(a, b, rtol=2), xp.asarray([True, True, True]))
+
+ # Test broadcasting
+ xp_assert_equal(
+ isclose(a, xp.asarray(True), atol=1), xp.asarray([True, True, True])
+ )
+ xp_assert_equal(
+ isclose(xp.asarray(True), b, atol=1), xp.asarray([True, True, True])
+ )
+
+ @pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="unknown shape")
+ def test_none_shape(self, xp: ModuleType):
+ a = xp.asarray([1, 5, 0])
+ b = xp.asarray([1, 4, 2])
+ b = b[a < 5]
+ a = a[a < 5]
+ xp_assert_equal(isclose(a, b), xp.asarray([True, False]))
+
+ @pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="unknown shape")
+ def test_none_shape_bool(self, xp: ModuleType):
+ a = xp.asarray([True, True, False])
+ b = xp.asarray([True, False, True])
+ b = b[a]
+ a = a[a]
+ xp_assert_equal(isclose(a, b), xp.asarray([True, False]))
+
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_python_scalar(self, xp: ModuleType):
+ a = xp.asarray([0.0, 0.1], dtype=xp.float32)
+ xp_assert_equal(isclose(a, 0.0), xp.asarray([True, False]))
+ xp_assert_equal(isclose(0.0, a), xp.asarray([True, False]))
+
+ a = xp.asarray([0, 1], dtype=xp.int16)
+ xp_assert_equal(isclose(a, 0), xp.asarray([True, False]))
+ xp_assert_equal(isclose(0, a), xp.asarray([True, False]))
+
+ xp_assert_equal(isclose(0, 0, xp=xp), xp.asarray(True))
+ xp_assert_equal(isclose(0, 1, xp=xp), xp.asarray(False))
+
+ def test_all_python_scalars(self):
+ with pytest.raises(TypeError, match="Unrecognized"):
+ _ = isclose(0, 0)
+
+ def test_xp(self, xp: ModuleType):
+ a = xp.asarray([0.0, 0.0])
+ b = xp.asarray([1e-9, 1e-4])
+ xp_assert_equal(isclose(a, b, xp=xp), xp.asarray([True, False]))
+
+ @pytest.mark.parametrize("equal_nan", [True, False])
+ def test_device(self, xp: ModuleType, device: Device, equal_nan: bool):
+ a = xp.asarray([0.0, 0.0, xp.nan], device=device)
+ b = xp.asarray([1e-9, 1e-4, xp.nan], device=device)
+ res = isclose(a, b, equal_nan=equal_nan)
+ assert get_device(res) == device
+ xp_assert_equal(
+ isclose(a, b, equal_nan=equal_nan), xp.asarray([True, False, equal_nan])
+ )
class TestKron:
- def test_basic(self):
+ def test_basic(self, xp: ModuleType):
# Using 0-dimensional array
a = xp.asarray(1)
b = xp.asarray([[1, 2], [3, 4]])
- k = xp.asarray([[1, 2], [3, 4]])
- assert_array_equal(kron(a, b, xp=xp), k)
- a = xp.asarray([[1, 2], [3, 4]])
- b = xp.asarray(1)
- assert_array_equal(kron(a, b, xp=xp), k)
+ xp_assert_equal(kron(a, b), b)
+ xp_assert_equal(kron(b, a), b)
# Using 1-dimensional array
a = xp.asarray([3])
b = xp.asarray([[1, 2], [3, 4]])
k = xp.asarray([[3, 6], [9, 12]])
- assert_array_equal(kron(a, b, xp=xp), k)
- a = xp.asarray([[1, 2], [3, 4]])
- b = xp.asarray([3])
- assert_array_equal(kron(a, b, xp=xp), k)
+ xp_assert_equal(kron(a, b), k)
+ xp_assert_equal(kron(b, a), k)
# Using 3-dimensional array
a = xp.asarray([[[1]], [[2]]])
b = xp.asarray([[1, 2], [3, 4]])
k = xp.asarray([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
- assert_array_equal(kron(a, b, xp=xp), k)
- a = xp.asarray([[1, 2], [3, 4]])
- b = xp.asarray([[[1]], [[2]]])
- k = xp.asarray([[[1, 2], [3, 4]], [[2, 4], [6, 8]]])
- assert_array_equal(kron(a, b, xp=xp), k)
+ xp_assert_equal(kron(a, b), k)
+ xp_assert_equal(kron(b, a), k)
- def test_kron_smoke(self):
+ def test_kron_smoke(self, xp: ModuleType):
a = xp.ones((3, 3))
b = xp.ones((3, 3))
k = xp.ones((9, 9))
- assert_array_equal(kron(a, b, xp=xp), k)
+ xp_assert_equal(kron(a, b), k)
@pytest.mark.parametrize(
("shape_a", "shape_b"),
@@ -205,7 +777,9 @@ def test_kron_smoke(self):
((2, 0, 0, 2), (2, 0, 2)),
],
)
- def test_kron_shape(self, shape_a: tuple[int, ...], shape_b: tuple[int, ...]):
+ def test_kron_shape(
+ self, xp: ModuleType, shape_a: tuple[int, ...], shape_b: tuple[int, ...]
+ ):
a = xp.ones(shape_a)
b = xp.ones(shape_b)
normalised_shape_a = xp.asarray(
@@ -218,101 +792,247 @@ def test_kron_shape(self, shape_a: tuple[int, ...], shape_b: tuple[int, ...]):
int(dim) for dim in xp.multiply(normalised_shape_a, normalised_shape_b)
)
- k = kron(a, b, xp=xp)
- assert_equal(k.shape, expected_shape, err_msg="Unexpected shape from kron")
+ k = kron(a, b)
+ assert k.shape == expected_shape
+ @pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
+ def test_python_scalar(self, xp: ModuleType):
+ a = 1
+ # Test no dtype promotion to xp.asarray(a); use b.dtype
+ b = xp.asarray([[1, 2], [3, 4]], dtype=xp.int16)
+ xp_assert_equal(kron(a, b), b)
+ xp_assert_equal(kron(b, a), b)
+ xp_assert_equal(kron(1, 1, xp=xp), xp.asarray(1))
-class TestExpandDims:
- def test_functionality(self):
- def _squeeze_all(b: Array) -> Array:
- """Mimics `np.squeeze(b)`. `xpx.squeeze`?"""
- for axis in range(b.ndim):
- with contextlib.suppress(ValueError):
- b = xp.squeeze(b, axis=axis)
- return b
-
- s = (2, 3, 4, 5)
- a = xp.empty(s)
- for axis in range(-5, 4):
- b = expand_dims(a, axis=axis, xp=xp)
- assert b.shape[axis] == 1
- assert _squeeze_all(b).shape == s
+ def test_all_python_scalars(self):
+ with pytest.raises(TypeError, match="Unrecognized"):
+ _ = kron(1, 1)
- def test_axis_tuple(self):
- a = xp.empty((3, 3, 3))
- assert expand_dims(a, axis=(0, 1, 2), xp=xp).shape == (1, 1, 1, 3, 3, 3)
- assert expand_dims(a, axis=(0, -1, -2), xp=xp).shape == (1, 3, 3, 3, 1, 1)
- assert expand_dims(a, axis=(0, 3, 5), xp=xp).shape == (1, 3, 3, 1, 3, 1)
- assert expand_dims(a, axis=(0, -3, -5), xp=xp).shape == (1, 1, 3, 1, 3, 3)
-
- def test_axis_out_of_range(self):
- s = (2, 3, 4, 5)
- a = xp.empty(s)
- with pytest.raises(IndexError, match="out of bounds"):
- expand_dims(a, axis=-6, xp=xp)
- with pytest.raises(IndexError, match="out of bounds"):
- expand_dims(a, axis=5, xp=xp)
+ def test_device(self, xp: ModuleType, device: Device):
+ x1 = xp.asarray([1, 2, 3], device=device)
+ x2 = xp.asarray([4, 5], device=device)
+ assert get_device(kron(x1, x2)) == device
- a = xp.empty((3, 3, 3))
- with pytest.raises(IndexError, match="out of bounds"):
- expand_dims(a, axis=(0, -6), xp=xp)
- with pytest.raises(IndexError, match="out of bounds"):
- expand_dims(a, axis=(0, 5), xp=xp)
+ def test_xp(self, xp: ModuleType):
+ a = xp.ones((3, 3))
+ b = xp.ones((3, 3))
+ k = xp.ones((9, 9))
+ xp_assert_equal(kron(a, b, xp=xp), k)
- def test_repeated_axis(self):
- a = xp.empty((3, 3, 3))
- with pytest.raises(ValueError, match="Duplicate dimensions"):
- expand_dims(a, axis=(1, 1), xp=xp)
- def test_positive_negative_repeated(self):
- # https://github.com/data-apis/array-api/issues/760#issuecomment-1989449817
- a = xp.empty((2, 3, 4, 5))
- with pytest.raises(ValueError, match="Duplicate dimensions"):
- expand_dims(a, axis=(3, -3), xp=xp)
+class TestNUnique:
+ def test_simple(self, xp: ModuleType):
+ a = xp.asarray([[1, 1], [0, 2], [2, 2]])
+ xp_assert_equal(nunique(a), xp.asarray(3))
+
+ def test_empty(self, xp: ModuleType):
+ a = xp.asarray([])
+ xp_assert_equal(nunique(a), xp.asarray(0))
+
+ def test_size1(self, xp: ModuleType):
+ a = xp.asarray([123])
+ xp_assert_equal(nunique(a), xp.asarray(1))
+
+ def test_all_equal(self, xp: ModuleType):
+ a = xp.asarray([123, 123, 123])
+ xp_assert_equal(nunique(a), xp.asarray(1))
+
+ @pytest.mark.xfail_xp_backend(Backend.DASK, reason="No equal_nan kwarg in unique")
+ @pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="sparse#855")
+ def test_nan(self, xp: ModuleType, library: Backend):
+ if library.like(Backend.NUMPY) and NUMPY_VERSION < (1, 24):
+ pytest.xfail("NumPy <1.24 has no equal_nan kwarg in unique")
+
+ # Each NaN is counted separately
+ a = xp.asarray([xp.nan, 123.0, xp.nan])
+ xp_assert_equal(nunique(a), xp.asarray(3))
+
+ @pytest.mark.parametrize("size", [0, 1, 2])
+ def test_device(self, xp: ModuleType, device: Device, size: int):
+ a = xp.asarray([0.0] * size, device=device)
+ assert get_device(nunique(a)) == device
+
+ def test_xp(self, xp: ModuleType):
+ a = xp.asarray([[1, 1], [0, 2], [2, 2]])
+ xp_assert_equal(nunique(a, xp=xp), xp.asarray(3))
+
+
+class TestPad:
+ def test_simple(self, xp: ModuleType):
+ a = xp.asarray([1, 2, 3])
+ padded = pad(a, 2)
+ xp_assert_equal(padded, xp.asarray([0, 0, 1, 2, 3, 0, 0]))
+
+ @pytest.mark.xfail_xp_backend(
+ Backend.SPARSE, reason="constant_values can only be equal to fill value"
+ )
+ def test_fill_value(self, xp: ModuleType):
+ a = xp.asarray([1, 2, 3])
+ padded = pad(a, 2, constant_values=42)
+ xp_assert_equal(padded, xp.asarray([42, 42, 1, 2, 3, 42, 42]))
+
+ def test_ndim(self, xp: ModuleType):
+ a = xp.asarray(np.reshape(np.arange(2 * 3 * 4), (2, 3, 4)))
+ padded = pad(a, 2)
+ assert padded.shape == (6, 7, 8)
+ def test_mode_not_implemented(self, xp: ModuleType):
+ a = xp.asarray([1, 2, 3])
+ with pytest.raises(NotImplementedError, match="Only `'constant'`"):
+ _ = pad(a, 2, mode="edge") # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+ def test_device(self, xp: ModuleType, device: Device):
+ a = xp.asarray(0.0, device=device)
+ assert get_device(pad(a, 2)) == device
+
+ def test_xp(self, xp: ModuleType):
+ padded = pad(xp.asarray(0), 1, xp=xp)
+ xp_assert_equal(padded, xp.asarray(0))
+
+ def test_tuple_width(self, xp: ModuleType):
+ a = xp.asarray(np.reshape(np.arange(12), (3, 4)))
+ padded = pad(a, (1, 0))
+ assert padded.shape == (4, 5)
+
+ padded = pad(a, (1, 2))
+ assert padded.shape == (6, 7)
+
+ with pytest.raises((ValueError, RuntimeError)):
+ _ = pad(a, [(1, 2, 3)]) # type: ignore[list-item] # pyright: ignore[reportArgumentType]
+
+ def test_sequence_of_tuples_width(self, xp: ModuleType):
+ a = xp.asarray(np.reshape(np.arange(12), (3, 4)))
+
+ padded = pad(a, ((1, 0), (0, 2)))
+ assert padded.shape == (4, 6)
+ padded = pad(a, ((1, 0), (0, 0)))
+ assert padded.shape == (4, 4)
+
+
+assume_unique = pytest.mark.parametrize(
+ "assume_unique",
+ [
+ True,
+ pytest.param(
+ False,
+ marks=pytest.mark.xfail_xp_backend(
+ Backend.DASK, reason="NaN-shaped arrays"
+ ),
+ ),
+ ],
+)
+
+
+@pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no argsort")
+@pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="no unique_values")
class TestSetDiff1D:
- def test_setdiff1d(self):
+ @pytest.mark.xfail_xp_backend(Backend.DASK, reason="NaN-shaped arrays")
+ @pytest.mark.xfail_xp_backend(
+ Backend.TORCH, reason="index_select not implemented for uint32"
+ )
+ @pytest.mark.xfail_xp_backend(
+ Backend.TORCH_GPU, reason="index_select not implemented for uint32"
+ )
+ def test_setdiff1d(self, xp: ModuleType):
x1 = xp.asarray([6, 5, 4, 7, 1, 2, 7, 4])
x2 = xp.asarray([2, 4, 3, 3, 2, 1, 5])
expected = xp.asarray([6, 7])
- actual = setdiff1d(x1, x2, xp=xp)
- assert_array_equal(actual, expected)
+ actual = setdiff1d(x1, x2)
+ xp_assert_equal(actual, expected)
x1 = xp.arange(21)
x2 = xp.arange(19)
expected = xp.asarray([19, 20])
- actual = setdiff1d(x1, x2, xp=xp)
- assert_array_equal(actual, expected)
+ actual = setdiff1d(x1, x2)
+ xp_assert_equal(actual, expected)
- assert_array_equal(setdiff1d(xp.empty(0), xp.empty(0), xp=xp), xp.empty(0))
+ xp_assert_equal(setdiff1d(xp.empty(0), xp.empty(0)), xp.empty(0))
x1 = xp.empty(0, dtype=xp.uint32)
x2 = x1
- assert_equal(setdiff1d(x1, x2, xp=xp).dtype, xp.uint32)
+ assert xp.isdtype(setdiff1d(x1, x2).dtype, xp.uint32)
- def test_assume_unique(self):
+ def test_assume_unique(self, xp: ModuleType):
x1 = xp.asarray([3, 2, 1])
x2 = xp.asarray([7, 5, 2])
expected = xp.asarray([3, 1])
+ actual = setdiff1d(x1, x2, assume_unique=True)
+ xp_assert_equal(actual, expected)
+
+ @assume_unique
+ @pytest.mark.parametrize("shape1", [(), (1,), (1, 1)])
+ @pytest.mark.parametrize("shape2", [(), (1,), (1, 1)])
+ def test_shapes(
+ self,
+ assume_unique: bool,
+ shape1: tuple[int, ...],
+ shape2: tuple[int, ...],
+ xp: ModuleType,
+ ):
+ x1 = xp.zeros(shape1)
+ x2 = xp.zeros(shape2)
+ actual = setdiff1d(x1, x2, assume_unique=assume_unique)
+ xp_assert_equal(actual, xp.empty((0,)))
+
+ @assume_unique
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_python_scalar(self, xp: ModuleType, assume_unique: bool):
+ # Test no dtype promotion to xp.asarray(x2); use x1.dtype
+ x1 = xp.asarray([3, 1, 2], dtype=xp.int16)
+ x2 = 3
+ actual = setdiff1d(x1, x2, assume_unique=assume_unique)
+ xp_assert_equal(actual, xp.asarray([1, 2], dtype=xp.int16))
+
+ actual = setdiff1d(x2, x1, assume_unique=assume_unique)
+ xp_assert_equal(actual, xp.asarray([], dtype=xp.int16))
+
+ xp_assert_equal(
+ setdiff1d(0, 0, assume_unique=assume_unique, xp=xp),
+ xp.asarray([0])[:0], # Default int dtype for backend
+ )
+
+ @pytest.mark.parametrize("assume_unique", [True, False])
+ def test_all_python_scalars(self, assume_unique: bool):
+ with pytest.raises(TypeError, match="Unrecognized"):
+ _ = setdiff1d(0, 0, assume_unique=assume_unique)
+
+ @assume_unique
+ def test_device(self, xp: ModuleType, device: Device, assume_unique: bool):
+ x1 = xp.asarray([3, 8, 20], device=device)
+ x2 = xp.asarray([2, 3, 4], device=device)
+ assert get_device(setdiff1d(x1, x2, assume_unique=assume_unique)) == device
+
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_xp(self, xp: ModuleType):
+ x1 = xp.asarray([3, 8, 20])
+ x2 = xp.asarray([2, 3, 4])
+ expected = xp.asarray([8, 20])
actual = setdiff1d(x1, x2, assume_unique=True, xp=xp)
- assert_array_equal(actual, expected)
+ xp_assert_equal(actual, expected)
+@pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
class TestSinc:
- def test_simple(self):
- assert_array_equal(sinc(xp.asarray(0.0), xp=xp), xp.asarray(1.0))
- w = sinc(xp.linspace(-1, 1, 100), xp=xp)
+ def test_simple(self, xp: ModuleType):
+ xp_assert_equal(sinc(xp.asarray(0.0)), xp.asarray(1.0))
+ w = sinc(xp.linspace(-1, 1, 100))
# check symmetry
- assert_allclose(w, xp.flip(w, axis=0))
+ xp_assert_close(w, xp.flip(w, axis=0))
@pytest.mark.parametrize("x", [0, 1 + 3j])
- def test_dtype(self, x: int | complex):
+ def test_dtype(self, xp: ModuleType, x: int | complex):
with pytest.raises(ValueError, match="real floating data type"):
- sinc(xp.asarray(x), xp=xp)
+ _ = sinc(xp.asarray(x))
- def test_3d(self):
+ def test_3d(self, xp: ModuleType):
x = xp.reshape(xp.arange(18, dtype=xp.float64), (3, 3, 2))
- expected = xp.zeros((3, 3, 2))
- expected[0, 0, 0] = 1.0
- assert_allclose(sinc(x, xp=xp), expected, atol=1e-15)
+ expected = xp.zeros((3, 3, 2), dtype=xp.float64)
+ expected = at(expected)[0, 0, 0].set(1.0)
+ xp_assert_close(sinc(x), expected, atol=1e-15)
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x = xp.asarray(0.0, device=device)
+ assert get_device(sinc(x)) == device
+
+ def test_xp(self, xp: ModuleType):
+ xp_assert_equal(sinc(xp.asarray(0.0), xp=xp), xp.asarray(1.0))
diff --git a/tests/test_helpers.py b/tests/test_helpers.py
new file mode 100644
index 00000000..a104e93c
--- /dev/null
+++ b/tests/test_helpers.py
@@ -0,0 +1,206 @@
+from types import ModuleType
+from typing import cast
+
+import numpy as np
+import pytest
+
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xp_assert_equal
+from array_api_extra._lib._utils._compat import array_namespace
+from array_api_extra._lib._utils._compat import device as get_device
+from array_api_extra._lib._utils._helpers import (
+ asarrays,
+ capabilities,
+ eager_shape,
+ in1d,
+ meta_namespace,
+ ndindex,
+)
+from array_api_extra._lib._utils._typing import Array, Device, DType
+from array_api_extra.testing import lazy_xp_function
+
+from .conftest import np_compat
+
+# mypy: disable-error-code=no-untyped-usage
+
+# FIXME calls xp.unique_values without size
+lazy_xp_function(in1d, jax_jit=False, static_argnames=("assume_unique", "invert", "xp"))
+
+
+@pytest.mark.skip_xp_backend(Backend.SPARSE, reason="no unique_inverse")
+@pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="no unique_inverse")
+class TestIn1D:
+ # cover both code paths
+ @pytest.mark.parametrize(
+ "n",
+ [
+ pytest.param(9, id="fast path"),
+ pytest.param(
+ 15,
+ id="slow path",
+ marks=pytest.mark.xfail_xp_backend(
+ Backend.DASK, reason="NaN-shaped array"
+ ),
+ ),
+ ],
+ )
+ def test_no_invert_assume_unique(self, xp: ModuleType, n: int):
+ x1 = xp.asarray([3, 8, 20])
+ x2 = xp.arange(n)
+ expected = xp.asarray([True, True, False])
+ actual = in1d(x1, x2)
+ xp_assert_equal(actual, expected)
+
+ def test_device(self, xp: ModuleType, device: Device):
+ x1 = xp.asarray([3, 8, 20], device=device)
+ x2 = xp.asarray([2, 3, 4], device=device)
+ assert get_device(in1d(x1, x2)) == device
+
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="xp=xp")
+ def test_xp(self, xp: ModuleType):
+ x1 = xp.asarray([1, 6])
+ x2 = xp.asarray([0, 1, 2, 3, 4])
+ expected = xp.asarray([True, False])
+ actual = in1d(x1, x2, xp=xp)
+ xp_assert_equal(actual, expected)
+
+
+class TestAsArrays:
+ @pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
+ @pytest.mark.parametrize(
+ ("dtype", "b", "defined"),
+ [
+ # Well-defined cases of dtype promotion from Python scalar to Array
+ # bool vs. bool
+ ("bool", True, True),
+ # int vs. xp.*int*, xp.float*, xp.complex*
+ ("int16", 1, True),
+ ("uint8", 1, True),
+ ("float32", 1, True),
+ ("float64", 1, True),
+ ("complex64", 1, True),
+ ("complex128", 1, True),
+ # float vs. xp.float, xp.complex
+ ("float32", 1.0, True),
+ ("float64", 1.0, True),
+ ("complex64", 1.0, True),
+ ("complex128", 1.0, True),
+ # complex vs. xp.complex
+ ("complex64", 1.0j, True),
+ ("complex128", 1.0j, True),
+ # Undefined cases
+ ("bool", 1, False),
+ ("int64", 1.0, False),
+ ("float64", 1.0j, False),
+ ],
+ )
+ def test_array_vs_scalar(
+ self, dtype: str, b: complex, defined: bool, xp: ModuleType
+ ):
+ a = xp.asarray(1, dtype=getattr(xp, dtype))
+
+ xa, xb = asarrays(a, b, xp)
+ assert xa.dtype == a.dtype
+ if defined:
+ assert xb.dtype == a.dtype
+ else:
+ assert xb.dtype == xp.asarray(b).dtype
+
+ xbr, xar = asarrays(b, a, xp)
+ assert xar.dtype == xa.dtype
+ assert xbr.dtype == xb.dtype
+
+ def test_scalar_vs_scalar(self, xp: ModuleType):
+ a, b = asarrays(1, 2.2, xp=xp)
+ assert a.dtype == xp.asarray(1).dtype # Default dtype
+ assert b.dtype == xp.asarray(2.2).dtype # Default dtype; not broadcasted
+
+ ALL_TYPES: tuple[str, ...] = (
+ "int8",
+ "int16",
+ "int32",
+ "int64",
+ "uint8",
+ "uint16",
+ "uint32",
+ "uint64",
+ "float32",
+ "float64",
+ "complex64",
+ "complex128",
+ "bool",
+ )
+
+ @pytest.mark.parametrize("a_type", ALL_TYPES)
+ @pytest.mark.parametrize("b_type", ALL_TYPES)
+ def test_array_vs_array(self, a_type: str, b_type: str, xp: ModuleType):
+ """
+ Test that when both inputs of asarray are already Array API objects,
+ they are returned unchanged.
+ """
+ a = xp.asarray(1, dtype=getattr(xp, a_type))
+ b = xp.asarray(1, dtype=getattr(xp, b_type))
+ xa, xb = asarrays(a, b, xp)
+ assert xa.dtype == a.dtype
+ assert xb.dtype == b.dtype
+
+ @pytest.mark.parametrize("dtype", [np.float64, np.complex128])
+ def test_numpy_generics(self, dtype: DType):
+ """
+ Test special case of np.float64 and np.complex128,
+ which are subclasses of float and complex.
+ """
+ a = cast(Array, dtype(0)) # type: ignore[operator] # pyright: ignore[reportCallIssue]
+ xa, xb = asarrays(a, 0, xp=np_compat)
+ assert xa.dtype == dtype
+ assert xb.dtype == dtype
+
+
+@pytest.mark.parametrize(
+ "shape", [(), (1,), (5,), (2, 3), (5, 3, 8), (0,), (3, 0), (0, 0, 1)]
+)
+def test_ndindex(shape: tuple[int, ...]):
+ assert tuple(ndindex(*shape)) == tuple(np.ndindex(*shape))
+
+
+@pytest.mark.skip_xp_backend(Backend.SPARSE, reason="index by sparse array")
+@pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="boolean indexing")
+def test_eager_shape(xp: ModuleType, library: Backend):
+ a = xp.asarray([1, 2, 3])
+ # Lazy arrays, like Dask, have an eager shape until you slice them with
+ # a lazy boolean mask
+ assert eager_shape(a) == a.shape == (3,)
+
+ b = a[a > 2]
+ if library is Backend.DASK:
+ with pytest.raises(TypeError, match="Unsupported lazy shape"):
+ _ = eager_shape(b)
+ # FIXME can't test use case for None in the shape until we add support for
+ # other lazy backends
+ else:
+ assert eager_shape(b) == b.shape == (1,)
+
+
+class TestMetaNamespace:
+ @pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="namespace tests")
+ def test_basic(self, xp: ModuleType, library: Backend):
+ args = None, xp.asarray(0), 1
+ expect = np_compat if library is Backend.DASK else xp
+ assert meta_namespace(*args) is expect
+
+ def test_dask_metas(self, da: ModuleType):
+ cp = pytest.importorskip("cupy")
+ cp_compat = array_namespace(cp.empty(0))
+ args = None, da.from_array(cp.asarray(0)), 1
+ assert meta_namespace(*args) is cp_compat
+
+ def test_xp(self, xp: ModuleType):
+ args = None, xp.asarray(0), 1
+ assert meta_namespace(*args, xp=xp) in (xp, np_compat)
+
+
+def test_capabilities(xp: ModuleType):
+ expect = {"boolean indexing", "data-dependent shapes"}
+ if xp.__array_api_version__ >= "2024.12":
+ expect.add("max dimensions")
+ assert capabilities(xp).keys() == expect
diff --git a/tests/test_lazy.py b/tests/test_lazy.py
new file mode 100644
index 00000000..f40df277
--- /dev/null
+++ b/tests/test_lazy.py
@@ -0,0 +1,453 @@
+import contextlib
+from types import ModuleType
+from typing import cast
+
+import numpy as np
+import pytest
+
+import array_api_extra as xpx # Let some tests bypass lazy_xp_function
+from array_api_extra import lazy_apply
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xp_assert_equal
+from array_api_extra._lib._utils import _compat
+from array_api_extra._lib._utils._compat import array_namespace, is_dask_array
+from array_api_extra._lib._utils._helpers import eager_shape
+from array_api_extra._lib._utils._typing import Array, Device
+from array_api_extra.testing import lazy_xp_function
+
+lazy_xp_function(
+ lazy_apply, static_argnames=("func", "shape", "dtype", "as_numpy", "xp")
+)
+
+as_numpy = pytest.mark.parametrize(
+ "as_numpy",
+ [
+ False,
+ pytest.param(
+ True,
+ marks=[
+ pytest.mark.skip_xp_backend(Backend.CUPY, reason="device->host copy"),
+ pytest.mark.skip_xp_backend(
+ Backend.TORCH_GPU, reason="device->host copy"
+ ),
+ pytest.mark.skip_xp_backend(Backend.SPARSE, reason="densification"),
+ ],
+ ),
+ ],
+)
+
+
+@as_numpy
+@pytest.mark.parametrize("shape", [(2,), (3, 2)])
+@pytest.mark.parametrize("dtype", ["int32", "float64"])
+def test_lazy_apply_simple(
+ xp: ModuleType, library: Backend, shape: tuple[int, ...], dtype: str, as_numpy: bool
+):
+ def f(x: Array) -> Array:
+ xp2 = array_namespace(x)
+ if as_numpy or library in (Backend.NUMPY_READONLY, Backend.DASK):
+ assert isinstance(x, np.ndarray)
+ else:
+ assert xp2 is xp
+
+ y = xp2.broadcast_to(xp2.astype(x + 1, getattr(xp2, dtype)), shape)
+ return xp2.asarray(y, copy=True) # PyTorch: ensure writeable NumPy array
+
+ x = xp.asarray([1, 2], dtype=xp.int16)
+ expect = xp.broadcast_to(xp.astype(x + 1, getattr(xp, dtype)), shape)
+ actual = lazy_apply(f, x, shape=shape, dtype=getattr(xp, dtype), as_numpy=as_numpy)
+ xp_assert_equal(actual, expect)
+
+
+@as_numpy
+def test_lazy_apply_broadcast(xp: ModuleType, as_numpy: bool):
+ """Test that default shape and dtype are broadcasted from the inputs."""
+
+ def f(x: Array, y: Array) -> Array:
+ return x + y
+
+ x = xp.asarray([1, 2], dtype=xp.int16)
+ y = xp.asarray([[4], [5], [6]], dtype=xp.int32)
+ z = lazy_apply(f, x, y, as_numpy=as_numpy)
+ xp_assert_equal(z, x + y)
+
+
+@as_numpy
+def test_lazy_apply_multi_output(xp: ModuleType, as_numpy: bool):
+ def f(x: Array) -> tuple[Array, Array]:
+ xp2 = array_namespace(x)
+ y = x + xp2.asarray(2, dtype=xp2.int8) # Sparse: bad dtype propagation
+ z = xp2.broadcast_to(xp2.astype(x + 1, xp2.int16), (3, 2))
+ z = xp2.asarray(z, copy=True) # PyTorch: ensure writeable NumPy array
+ return y, z
+
+ x = xp.asarray([1, 2], dtype=xp.int8)
+ expect = (
+ xp.asarray([3, 4], dtype=xp.int8),
+ xp.asarray([[2, 3], [2, 3], [2, 3]], dtype=xp.int16),
+ )
+ actual = lazy_apply(
+ f, x, shape=((2,), (3, 2)), dtype=(xp.int8, xp.int16), as_numpy=as_numpy
+ )
+ assert isinstance(actual, tuple)
+ assert len(actual) == 2
+ xp_assert_equal(actual[0], expect[0])
+ xp_assert_equal(actual[1], expect[1])
+
+
+@pytest.mark.parametrize(
+ "as_numpy",
+ [
+ False,
+ pytest.param(
+ True,
+ marks=[
+ pytest.mark.skip_xp_backend(Backend.CUPY, reason="device->host copy"),
+ pytest.mark.skip_xp_backend(
+ Backend.TORCH_GPU, reason="device->host copy"
+ ),
+ pytest.mark.skip_xp_backend(Backend.SPARSE, reason="densification"),
+ ],
+ ),
+ ],
+)
+def test_lazy_apply_multi_output_broadcast_dtype(xp: ModuleType, as_numpy: bool):
+ """
+ If dtype is omitted and there are multiple shapes, use the same
+ dtype for all output arrays, broadcasted from the inputs
+ """
+
+ def f(x: Array, y: Array) -> tuple[Array, Array]:
+ return x + y, x - y
+
+ x = xp.asarray([1, 2], dtype=xp.float32)
+ y = xp.asarray([3], dtype=xp.float64)
+ expect = (
+ xp.asarray([4, 5], dtype=xp.float64),
+ xp.asarray([-2, -1], dtype=xp.float64),
+ )
+ actual = lazy_apply(f, x, y, shape=((2,), (2,)), as_numpy=as_numpy)
+ assert isinstance(actual, tuple)
+ assert len(actual) == 2
+ xp_assert_equal(actual[0], expect[0])
+ xp_assert_equal(actual[1], expect[1])
+
+
+def test_lazy_apply_core_indices(da: ModuleType):
+ """
+ Test that a function that performs reductions along axes does so
+ globally and not locally to each Dask chunk.
+ """
+
+ def f(x: Array) -> Array:
+ xp = array_namespace(x)
+ return xp.sum(x, axis=0) + x
+
+ x_np = cast(Array, np.arange(15).reshape(5, 3)) # type: ignore[bad-cast]
+ expect = da.asarray(f(x_np))
+ x_da = da.asarray(x_np).rechunk(3)
+
+ # A naive map_blocks fails because it applies f to each chunk separately,
+ # but f needs to reduce along axis 0 which is broken into multiple chunks.
+ # axis 0 is a "core axis" or "core index" (from xarray.apply_ufunc's
+ # "core dimension").
+ with pytest.raises(AssertionError):
+ xp_assert_equal(da.map_blocks(f, x_da), expect)
+
+ xp_assert_equal(lazy_apply(f, x_da), expect)
+
+
+def test_lazy_apply_dont_run_on_meta(da: ModuleType):
+ """Test that Dask won't try running func on the meta array,
+ as it may have minimum size requirements.
+ """
+
+ def f(x: Array) -> Array:
+ assert x.size
+ return x + 1
+
+ x = da.arange(10)
+ assert not x._meta.size
+ y = lazy_apply(f, x)
+ xp_assert_equal(y, x + 1)
+
+
+def test_lazy_apply_dask_non_numpy_meta(da: ModuleType):
+ """Test Dask wrapping around a meta-namespace other than numpy."""
+ # At the moment of writing, of all Array API namespaces CuPy is
+ # the only one that Dask supports.
+ # For this reason, we can only test as_numpy=False since
+ # np.asarray(cp.Array) is blocked by the transfer guard.
+
+ cp = pytest.importorskip("cupy")
+ cp = array_namespace(cp.empty(0))
+ x_cp = cp.asarray([1, 2, 3])
+ x_da = da.asarray([1, 2, 3]).map_blocks(cp.asarray)
+ assert array_namespace(x_da._meta) is cp
+
+ def f(x: Array) -> Array:
+ return x + 1
+
+ y = lazy_apply(f, x_da)
+ assert array_namespace(y._meta) is cp # type: ignore[attr-defined] # pyright: ignore[reportUnknownArgumentType,reportAttributeAccessIssue]
+ xp_assert_equal(y.compute(), x_cp + 1) # type: ignore[attr-defined] # pyright: ignore[reportUnknownArgumentType,reportAttributeAccessIssue]
+
+
+def test_dask_key(da: ModuleType):
+ """Test that the function name is visible on the Dask dashboard and in metrics."""
+
+ def helloworld(x: Array) -> Array:
+ return x + 1
+
+ x = da.asarray([1, 2])
+ # Use full namespace to bypass monkey-patching by lazy_xp_function,
+ # which calls persist() to materialize exceptions and warnings and in
+ # doing so squashes the graph.
+ y = xpx.lazy_apply(helloworld, x)
+
+ prefixes = set()
+ for key in y.__dask_graph__(): # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+ name = key[0] if isinstance(key, tuple) else key
+ assert isinstance(name, str)
+ prefixes.add(name.split("-")[0])
+
+ assert "helloworld" in prefixes
+
+
+def test_lazy_apply_none_shape_in_args(xp: ModuleType, library: Backend):
+ x = xp.asarray([1, 1, 2, 2, 2])
+
+ # TODO mxp = meta_namespace(x, xp=xp)
+ mxp = np if library is Backend.DASK else xp
+ int_type = xp.asarray(0).dtype
+
+ ctx: contextlib.AbstractContextManager[object]
+ if library.like(Backend.JAX):
+ ctx = pytest.raises(ValueError, match="Output shape must be fully known")
+ elif library is Backend.ARRAY_API_STRICTEST:
+ ctx = pytest.raises(RuntimeError, match="data-dependent shapes")
+ else:
+ ctx = contextlib.nullcontext()
+
+ # Single output
+ with ctx:
+ values = lazy_apply(mxp.unique_values, x, shape=(None,))
+ xp_assert_equal(values, xp.asarray([1, 2]))
+
+ with ctx:
+ # Multi output
+ values, counts = lazy_apply(
+ mxp.unique_counts,
+ x,
+ shape=((None,), (None,)),
+ dtype=(x.dtype, int_type),
+ )
+ xp_assert_equal(values, xp.asarray([1, 2]))
+ xp_assert_equal(counts, xp.asarray([2, 3]))
+
+
+def check_lazy_apply_none_shape_broadcast(x: Array) -> Array:
+ def f(x: Array) -> Array:
+ return x
+
+ x = x[x > 1]
+ # Use explicit namespace to bypass monkey-patching by lazy_xp_function
+ return xpx.lazy_apply(f, x)
+
+
+lazy_xp_function(check_lazy_apply_none_shape_broadcast)
+
+
+@pytest.mark.skip_xp_backend(Backend.SPARSE, reason="index by sparse array")
+@pytest.mark.skip_xp_backend(Backend.JAX, reason="boolean indexing")
+@pytest.mark.skip_xp_backend(Backend.JAX_GPU, reason="boolean indexing")
+@pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="boolean indexing")
+def test_lazy_apply_none_shape_broadcast(xp: ModuleType):
+ """Broadcast from input array with unknown shape"""
+ x = xp.asarray([1, 2, 2])
+ actual = check_lazy_apply_none_shape_broadcast(x)
+ xp_assert_equal(actual, xp.asarray([2, 2]))
+
+
+@pytest.mark.parametrize(
+ "as_numpy",
+ [
+ False,
+ pytest.param(
+ True,
+ marks=[
+ pytest.mark.skip_xp_backend(
+ Backend.ARRAY_API_STRICT, reason="device->host copy"
+ ),
+ pytest.mark.skip_xp_backend(Backend.CUPY, reason="device->host copy"),
+ pytest.mark.skip_xp_backend(
+ Backend.TORCH_GPU, reason="device->host copy"
+ ),
+ pytest.mark.skip_xp_backend(Backend.SPARSE, reason="densification"),
+ ],
+ ),
+ ],
+)
+def test_lazy_apply_device(xp: ModuleType, as_numpy: bool, device: Device):
+ def f(x: Array) -> Array:
+ xp2 = array_namespace(x)
+ # Deliberately forgetting to add device here to test that the
+ # output is transferred to the right device. This is necessary when
+ # as_numpy=True anyway.
+ return xp2.zeros(x.shape, dtype=x.dtype)
+
+ x = xp.asarray([1, 2], device=device)
+ y = lazy_apply(f, x, as_numpy=as_numpy)
+ assert _compat.device(y) == device
+
+
+def test_lazy_apply_arraylike(xp: ModuleType):
+ """Wrapped func returns an array-like"""
+ x = xp.asarray([1, 2, 3])
+
+ # Single output
+ def f(x: Array) -> int:
+ shape = eager_shape(x)
+ return shape[0]
+
+ expect = xp.asarray(3)
+ actual = lazy_apply(f, x, shape=(), dtype=expect.dtype)
+ xp_assert_equal(actual, expect)
+
+ # Multi output
+ def g(x: Array) -> tuple[int, list[int]]:
+ shape = eager_shape(x)
+ return shape[0], list(shape)
+
+ actual2 = lazy_apply(g, x, shape=((), (1,)), dtype=(expect.dtype, expect.dtype))
+ xp_assert_equal(actual2[0], xp.asarray(3))
+ xp_assert_equal(actual2[1], xp.asarray([3]))
+
+
+def test_lazy_apply_scalars_and_nones(xp: ModuleType, library: Backend):
+ def f(x: Array, y: None, z: int | Array) -> Array:
+ mxp = array_namespace(x, y, z)
+ mtyp = type(mxp.asarray(0))
+ assert isinstance(x, mtyp)
+ assert y is None
+ # jax.pure_callback wraps scalar args
+ assert isinstance(z, mtyp if library.like(Backend.JAX) else int)
+ return x + z
+
+ x = xp.asarray([1, 2])
+ w = lazy_apply(f, x, None, 3)
+ xp_assert_equal(w, x + 3)
+
+
+def check_lazy_apply_kwargs(x: Array, expect_cls: type, as_numpy: bool) -> Array:
+ is_dask = is_dask_array(x)
+ recursive: list[object] = []
+ if not is_dask: # dask.delayed crashes on recursion
+ recursive.append(recursive)
+
+ def eager(
+ x: Array,
+ z: dict[int, list[int]],
+ msg: str,
+ msgs: list[str],
+ scalar: int,
+ recursive: list[list[object]],
+ ) -> Array:
+ assert isinstance(x, expect_cls)
+ # JAX will crash if x isn't material
+ assert int(x) == 0
+ # Did we re-wrap the namedtuple correctly, or did it get
+ # accidentally changed to a basic tuple?
+ assert z == {0: [1, 2]}
+ assert msg == "Hello World" # must be hidden from JAX
+ assert msgs[0] == "Hello World" # must be hidden from JAX
+ assert isinstance(msg, str)
+ assert isinstance(msgs[0], str)
+ assert scalar == 1 # must be hidden from JAX
+ assert isinstance(scalar, int)
+ assert isinstance(recursive, list)
+ if not is_dask:
+ assert recursive[0][0] is recursive[0]
+ return x + 1
+
+ # Use explicit namespace to bypass monkey-patching by lazy_xp_function
+ return xpx.lazy_apply( # pyright: ignore[reportCallIssue]
+ eager,
+ x,
+ z={0: [1, 2]},
+ msg="Hello World",
+ msgs=["Hello World"],
+ # This will be automatically cast to jax.Array if we don't wrap it
+ scalar=1,
+ recursive=recursive,
+ shape=x.shape,
+ dtype=x.dtype,
+ as_numpy=as_numpy,
+ )
+
+
+lazy_xp_function(check_lazy_apply_kwargs, static_argnames=("expect_cls", "as_numpy"))
+
+
+@as_numpy
+def test_lazy_apply_kwargs(xp: ModuleType, library: Backend, as_numpy: bool):
+ """When as_numpy=True, search and replace arrays in the (nested) keywords arguments
+ with numpy arrays, and leave the rest untouched."""
+ x = xp.asarray(0)
+ expect_cls = np.ndarray if as_numpy or library is Backend.DASK else type(x)
+ actual = check_lazy_apply_kwargs(x, expect_cls, as_numpy) # pyright: ignore[reportUnknownArgumentType]
+ xp_assert_equal(actual, x + 1)
+
+
+class CustomError(Exception):
+ pass
+
+
+def raises(x: Array) -> Array:
+ def eager(_: Array) -> Array:
+ msg = "Hello World"
+ raise CustomError(msg)
+
+ # Use explicit namespace to bypass monkey-patching by lazy_xp_function
+ return xpx.lazy_apply(eager, x, shape=x.shape, dtype=x.dtype)
+
+
+# jax.pure_callback does not support raising
+# https://github.com/jax-ml/jax/issues/26102
+lazy_xp_function(raises, jax_jit=False)
+
+
+def test_lazy_apply_raises(xp: ModuleType):
+ """
+ See Also
+ --------
+ test_testing.py::test_lazy_xp_function_eagerly_raises
+ """
+ x = xp.asarray(0)
+
+ with pytest.raises(CustomError, match="Hello World"):
+ # Here we are disregarding the return value, which would
+ # normally cause the graph not to materialize and the
+ # exception not to be raised.
+ # However, lazy_xp_function will do it for us on function exit.
+ _ = raises(x)
+
+
+def test_invalid_args():
+ def f(x: Array) -> Array:
+ return x
+
+ x = np.asarray(1)
+
+ with pytest.raises(ValueError, match="at least one argument array"):
+ _ = lazy_apply(f, shape=(1,), dtype=np.int32, xp=np)
+ with pytest.raises(ValueError, match="at least one argument array"):
+ _ = lazy_apply(f, 1, shape=(1,), dtype=np.int32, xp=np)
+ with pytest.raises(ValueError, match="at least one argument array"):
+ _ = lazy_apply(f, shape=(1,), dtype=np.int32)
+ with pytest.raises(ValueError, match="multiple shapes but only one dtype"):
+ _ = lazy_apply(f, x, shape=[(1,), (2,)], dtype=np.int32) # type: ignore[call-overload] # pyright: ignore[reportCallIssue,reportArgumentType]
+ with pytest.raises(ValueError, match="single shape but multiple dtypes"):
+ _ = lazy_apply(f, x, shape=(1,), dtype=[np.int32, np.int64]) # pyright: ignore[reportCallIssue,reportArgumentType]
+ with pytest.raises(ValueError, match="2 shapes and 1 dtypes"):
+ _ = lazy_apply(f, x, shape=[(1,), (2,)], dtype=[np.int32]) # type: ignore[arg-type] # pyright: ignore[reportCallIssue,reportArgumentType]
diff --git a/tests/test_testing.py b/tests/test_testing.py
new file mode 100644
index 00000000..fb9ba581
--- /dev/null
+++ b/tests/test_testing.py
@@ -0,0 +1,313 @@
+from collections.abc import Callable
+from types import ModuleType
+from typing import cast
+
+import numpy as np
+import pytest
+
+from array_api_extra._lib._backends import Backend
+from array_api_extra._lib._testing import xp_assert_close, xp_assert_equal
+from array_api_extra._lib._utils._compat import (
+ array_namespace,
+ is_dask_namespace,
+ is_jax_namespace,
+)
+from array_api_extra._lib._utils._typing import Array
+from array_api_extra.testing import lazy_xp_function
+
+# mypy: disable-error-code=decorated-any
+# pyright: reportUnknownParameterType=false,reportMissingParameterType=false
+
+param_assert_equal_close = pytest.mark.parametrize(
+ "func",
+ [
+ xp_assert_equal,
+ pytest.param(
+ xp_assert_close,
+ marks=pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype"),
+ ),
+ ],
+)
+
+
+@param_assert_equal_close
+def test_assert_close_equal_basic(xp: ModuleType, func: Callable[..., None]): # type: ignore[explicit-any]
+ func(xp.asarray(0), xp.asarray(0))
+ func(xp.asarray([1, 2]), xp.asarray([1, 2]))
+
+ with pytest.raises(AssertionError, match="shapes do not match"):
+ func(xp.asarray([0]), xp.asarray([[0]]))
+
+ with pytest.raises(AssertionError, match="dtypes do not match"):
+ func(xp.asarray(0, dtype=xp.float32), xp.asarray(0, dtype=xp.float64))
+
+ with pytest.raises(AssertionError):
+ func(xp.asarray([1, 2]), xp.asarray([1, 3]))
+
+ with pytest.raises(AssertionError, match="hello"):
+ func(xp.asarray([1, 2]), xp.asarray([1, 3]), err_msg="hello")
+
+
+@pytest.mark.skip_xp_backend(Backend.NUMPY, reason="test other ns vs. numpy")
+@pytest.mark.skip_xp_backend(Backend.NUMPY_READONLY, reason="test other ns vs. numpy")
+@pytest.mark.parametrize("func", [xp_assert_equal, xp_assert_close])
+def test_assert_close_equal_namespace(xp: ModuleType, func: Callable[..., None]): # type: ignore[explicit-any]
+ with pytest.raises(AssertionError, match="namespaces do not match"):
+ func(xp.asarray(0), np.asarray(0))
+ with pytest.raises(TypeError, match="Unrecognized array input"):
+ func(xp.asarray(0), 0)
+ with pytest.raises(TypeError, match="list is not a supported array type"):
+ func(xp.asarray([0]), [0])
+
+
+@pytest.mark.xfail_xp_backend(Backend.SPARSE, reason="no isdtype")
+def test_assert_close_tolerance(xp: ModuleType):
+ xp_assert_close(xp.asarray([100.0]), xp.asarray([102.0]), rtol=0.03)
+ with pytest.raises(AssertionError):
+ xp_assert_close(xp.asarray([100.0]), xp.asarray([102.0]), rtol=0.01)
+
+ xp_assert_close(xp.asarray([100.0]), xp.asarray([102.0]), atol=3)
+ with pytest.raises(AssertionError):
+ xp_assert_close(xp.asarray([100.0]), xp.asarray([102.0]), atol=1)
+
+
+@param_assert_equal_close
+@pytest.mark.skip_xp_backend(Backend.SPARSE, reason="index by sparse array")
+@pytest.mark.skip_xp_backend(Backend.ARRAY_API_STRICTEST, reason="boolean indexing")
+def test_assert_close_equal_none_shape(xp: ModuleType, func: Callable[..., None]): # type: ignore[explicit-any]
+ """On Dask and other lazy backends, test that a shape with NaN's or None's
+ can be compared to a real shape.
+ """
+ a = xp.asarray([1, 2])
+ a = a[a > 1]
+
+ func(a, xp.asarray([2]))
+ with pytest.raises(AssertionError):
+ func(a, xp.asarray([2, 3]))
+ with pytest.raises(AssertionError):
+ func(a, xp.asarray(2))
+ with pytest.raises(AssertionError):
+ func(a, xp.asarray([3]))
+
+ # Swap actual and desired
+ func(xp.asarray([2]), a)
+ with pytest.raises(AssertionError):
+ func(xp.asarray([2, 3]), a)
+ with pytest.raises(AssertionError):
+ func(xp.asarray(2), a)
+ with pytest.raises(AssertionError):
+ func(xp.asarray([3]), a)
+
+
+def good_lazy(x: Array) -> Array:
+ """A function that behaves well in Dask and jax.jit"""
+ return x * 2.0
+
+
+def non_materializable(x: Array) -> Array:
+ """
+ This function materializes the input array, so it will fail when wrapped in jax.jit
+ and it will trigger an expensive computation in Dask.
+ """
+ xp = array_namespace(x)
+ # Crashes inside jax.jit
+ # On Dask, this triggers two computations of the whole graph
+ if xp.any(x < 0.0) or xp.any(x > 10.0):
+ msg = "Values must be in the [0, 10] range"
+ raise ValueError(msg)
+ return x
+
+
+def non_materializable2(x: Array) -> Array:
+ return non_materializable(x)
+
+
+def non_materializable3(x: Array) -> Array:
+ return non_materializable(x)
+
+
+def non_materializable4(x: Array) -> Array:
+ return non_materializable(x)
+
+
+def non_materializable5(x: Array) -> Array:
+ return non_materializable(x)
+
+
+lazy_xp_function(good_lazy)
+# Works on JAX and Dask
+lazy_xp_function(non_materializable2, jax_jit=False, allow_dask_compute=2)
+lazy_xp_function(non_materializable3, jax_jit=False, allow_dask_compute=True)
+# Works on JAX, but not Dask
+lazy_xp_function(non_materializable4, jax_jit=False, allow_dask_compute=1)
+# Works neither on Dask nor JAX
+lazy_xp_function(non_materializable5)
+
+
+def test_lazy_xp_function(xp: ModuleType):
+ x = xp.asarray([1.0, 2.0])
+
+ xp_assert_equal(good_lazy(x), xp.asarray([2.0, 4.0]))
+ # Not wrapped
+ xp_assert_equal(non_materializable(x), xp.asarray([1.0, 2.0]))
+ # Wrapping explicitly disabled
+ xp_assert_equal(non_materializable2(x), xp.asarray([1.0, 2.0]))
+ xp_assert_equal(non_materializable3(x), xp.asarray([1.0, 2.0]))
+
+ if is_jax_namespace(xp):
+ xp_assert_equal(non_materializable4(x), xp.asarray([1.0, 2.0]))
+ with pytest.raises(
+ TypeError, match="Attempted boolean conversion of traced array"
+ ):
+ _ = non_materializable5(x) # Wrapped
+
+ elif is_dask_namespace(xp):
+ with pytest.raises(
+ AssertionError,
+ match=r"dask\.compute.* 2 times, but only up to 1 calls are allowed",
+ ):
+ _ = non_materializable4(x)
+ with pytest.raises(
+ AssertionError,
+ match=r"dask\.compute.* 1 times, but no calls are allowed",
+ ):
+ _ = non_materializable5(x)
+
+ else:
+ xp_assert_equal(non_materializable4(x), xp.asarray([1.0, 2.0]))
+ xp_assert_equal(non_materializable5(x), xp.asarray([1.0, 2.0]))
+
+
+def static_params(x: Array, n: int, flag: bool = False) -> Array:
+ """Function with static parameters that must not be jitted"""
+ if flag and n > 0: # This fails if n or flag are jitted arrays
+ return x * 2.0
+ return x * 3.0
+
+
+def static_params1(x: Array, n: int, flag: bool = False) -> Array:
+ return static_params(x, n, flag)
+
+
+def static_params2(x: Array, n: int, flag: bool = False) -> Array:
+ return static_params(x, n, flag)
+
+
+def static_params3(x: Array, n: int, flag: bool = False) -> Array:
+ return static_params(x, n, flag)
+
+
+lazy_xp_function(static_params1, static_argnums=(1, 2))
+lazy_xp_function(static_params2, static_argnames=("n", "flag"))
+lazy_xp_function(static_params3, static_argnums=1, static_argnames="flag")
+
+
+@pytest.mark.parametrize("func", [static_params1, static_params2, static_params3])
+def test_lazy_xp_function_static_params(xp: ModuleType, func: Callable[..., Array]): # type: ignore[explicit-any]
+ x = xp.asarray([1.0, 2.0])
+ xp_assert_equal(func(x, 1), xp.asarray([3.0, 6.0]))
+ xp_assert_equal(func(x, 1, True), xp.asarray([2.0, 4.0]))
+ xp_assert_equal(func(x, 1, False), xp.asarray([3.0, 6.0]))
+ xp_assert_equal(func(x, 0, False), xp.asarray([3.0, 6.0]))
+ xp_assert_equal(func(x, 1, flag=True), xp.asarray([2.0, 4.0]))
+ xp_assert_equal(func(x, n=1, flag=True), xp.asarray([2.0, 4.0]))
+
+
+try:
+ # Test an arbitrary Cython ufunc (@cython.vectorize).
+ # When SCIPY_ARRAY_API is not set, this is the same as
+ # scipy.special.erf.
+ from scipy.special._ufuncs import erf # type: ignore[import-not-found]
+
+ lazy_xp_function(erf) # pyright: ignore[reportUnknownArgumentType]
+except ImportError:
+ erf = None
+
+
+@pytest.mark.skip_xp_backend(Backend.TORCH_GPU, reason="device->host copy")
+@pytest.mark.filterwarnings("ignore:__array_wrap__:DeprecationWarning") # PyTorch
+def test_lazy_xp_function_cython_ufuncs(xp: ModuleType, library: Backend):
+ pytest.importorskip("scipy")
+ assert erf is not None
+ x = xp.asarray([6.0, 7.0])
+ if library.like(Backend.ARRAY_API_STRICT, Backend.JAX):
+ # array-api-strict arrays are auto-converted to NumPy
+ # which results in an assertion error for mismatched namespaces
+ # eager JAX arrays are auto-converted to NumPy in eager JAX
+ # and fail in jax.jit (which lazy_xp_function tests here)
+ with pytest.raises((TypeError, AssertionError)):
+ xp_assert_equal(cast(Array, erf(x)), xp.asarray([1.0, 1.0]))
+ else:
+ # CuPy, Dask and sparse define __array_ufunc__ and dispatch accordingly
+ # note that when sparse reduces to scalar it returns a np.generic, which
+ # would make xp_assert_equal fail.
+ xp_assert_equal(cast(Array, erf(x)), xp.asarray([1.0, 1.0]))
+
+
+def dask_raises(x: Array) -> Array:
+ def _raises(x: Array) -> Array:
+ # Test that map_blocks doesn't eagerly call the function;
+ # dtype and meta should be sufficient to skip the trial run.
+ assert x.shape == (3,)
+ msg = "Hello world"
+ raise ValueError(msg)
+
+ return x.map_blocks(_raises, dtype=x.dtype, meta=x._meta) # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+
+
+lazy_xp_function(dask_raises)
+
+
+def test_lazy_xp_function_eagerly_raises(da: ModuleType):
+ """Test that the pattern::
+
+ with pytest.raises(Exception):
+ func(x)
+
+ works with Dask, even though it normally wouldn't as we're disregarding the func
+ output so the graph would not be ordinarily materialized.
+ lazy_xp_function contains ad-hoc code to materialize and reraise exceptions.
+ """
+ x = da.arange(3)
+ with pytest.raises(ValueError, match="Hello world"):
+ _ = dask_raises(x)
+
+
+wrapped = ModuleType("wrapped")
+naked = ModuleType("naked")
+
+
+def f(x: Array) -> Array:
+ xp = array_namespace(x)
+ # Crash in jax.jit and trigger compute() on Dask
+ if not xp.all(x):
+ msg = "Values must be non-zero"
+ raise ValueError(msg)
+ return x
+
+
+wrapped.f = f # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+naked.f = f # type: ignore[attr-defined] # pyright: ignore[reportAttributeAccessIssue]
+del f
+
+
+lazy_xp_function(wrapped.f)
+lazy_xp_modules = [wrapped]
+
+
+def test_lazy_xp_modules(xp: ModuleType, library: Backend):
+ x = xp.asarray([1.0, 2.0])
+ y = naked.f(x)
+ xp_assert_equal(y, x)
+
+ if library.like(Backend.JAX):
+ with pytest.raises(
+ TypeError, match="Attempted boolean conversion of traced array"
+ ):
+ wrapped.f(x)
+ elif library.like(Backend.DASK):
+ with pytest.raises(AssertionError, match=r"dask\.compute"):
+ wrapped.f(x)
+ else:
+ y = wrapped.f(x)
+ xp_assert_equal(y, x)
diff --git a/tests/test_utils.py b/tests/test_utils.py
deleted file mode 100644
index a34ec56f..00000000
--- a/tests/test_utils.py
+++ /dev/null
@@ -1,24 +0,0 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
-import typing
-
-# data-apis/array-api-strict#6
-import array_api_strict as xp # type: ignore[import-untyped] # pyright: ignore[reportMissingTypeStubs]
-import pytest
-from numpy.testing import assert_array_equal
-
-from array_api_extra._lib._utils import in1d
-
-if typing.TYPE_CHECKING:
- from array_api_extra._lib._typing import Array
-
-
-# some test coverage already provided by TestSetDiff1D
-class TestIn1D:
- # cover both code paths
- @pytest.mark.parametrize("x2", [xp.arange(9), xp.arange(15)])
- def test_no_invert_assume_unique(self, x2: Array):
- x1 = xp.asarray([3, 8, 20])
- expected = xp.asarray([True, True, False])
- actual = in1d(x1, x2, xp=xp)
- assert_array_equal(actual, expected)
diff --git a/tests/test_version.py b/tests/test_version.py
index 1b20232f..b9717a50 100644
--- a/tests/test_version.py
+++ b/tests/test_version.py
@@ -1,5 +1,3 @@
-from __future__ import annotations # https://github.com/pylint-dev/pylint/pull/9990
-
import importlib.metadata
import array_api_extra as xpx
diff --git a/vendor_tests/__init__.py b/vendor_tests/__init__.py
new file mode 100644
index 00000000..9fd27fde
--- /dev/null
+++ b/vendor_tests/__init__.py
@@ -0,0 +1 @@
+"""Allow for relative imports in `test_vendor.py`."""
diff --git a/vendor_tests/_array_api_compat_vendor.py b/vendor_tests/_array_api_compat_vendor.py
new file mode 100644
index 00000000..cd31a9c4
--- /dev/null
+++ b/vendor_tests/_array_api_compat_vendor.py
@@ -0,0 +1,10 @@
+"""This file is a hook imported by `src/array_api_extra/_lib/_compat.py`."""
+
+from .array_api_compat import * # noqa: F403
+from .array_api_compat import array_namespace as array_namespace_compat
+
+
+# Let unit tests check with `is` that we are picking up the function from this module
+# and not from the original array_api_compat module.
+def array_namespace(*xs, **kwargs): # numpydoc ignore=GL08
+ return array_namespace_compat(*xs, **kwargs)
diff --git a/vendor_tests/test_vendor.py b/vendor_tests/test_vendor.py
new file mode 100644
index 00000000..374cba11
--- /dev/null
+++ b/vendor_tests/test_vendor.py
@@ -0,0 +1,72 @@
+import array_api_strict as xp
+from numpy.testing import assert_array_equal
+
+
+def test_vendor_compat():
+ from ._array_api_compat_vendor import ( # type: ignore[attr-defined]
+ array_namespace,
+ device,
+ is_array_api_obj,
+ is_array_api_strict_namespace,
+ is_cupy_array,
+ is_cupy_namespace,
+ is_dask_array,
+ is_dask_namespace,
+ is_jax_array,
+ is_jax_namespace,
+ is_lazy_array,
+ is_numpy_array,
+ is_numpy_namespace,
+ is_pydata_sparse_array,
+ is_pydata_sparse_namespace,
+ is_torch_array,
+ is_torch_namespace,
+ is_writeable_array,
+ size,
+ to_device,
+ )
+
+ x = xp.asarray([1, 2, 3])
+ assert array_namespace(x) is xp
+ to_device(x, device(x))
+ assert is_array_api_obj(x)
+ assert is_array_api_strict_namespace(xp)
+ assert not is_cupy_array(x)
+ assert not is_cupy_namespace(xp)
+ assert not is_dask_array(x)
+ assert not is_dask_namespace(xp)
+ assert not is_jax_array(x)
+ assert not is_jax_namespace(xp)
+ assert not is_lazy_array(x)
+ assert not is_numpy_array(x)
+ assert not is_numpy_namespace(xp)
+ assert not is_pydata_sparse_array(x)
+ assert not is_pydata_sparse_namespace(xp)
+ assert not is_torch_array(x)
+ assert not is_torch_namespace(xp)
+ assert is_writeable_array(x)
+ assert size(x) == 3
+
+
+def test_vendor_extra():
+ from .array_api_extra import atleast_nd
+
+ x = xp.asarray(1)
+ y = atleast_nd(x, ndim=0)
+ assert_array_equal(y, x)
+
+
+def test_vendor_extra_testing():
+ from .array_api_extra.testing import lazy_xp_function
+
+ def f(x):
+ return x
+
+ lazy_xp_function(f)
+
+
+def test_vendor_extra_uses_vendor_compat():
+ from ._array_api_compat_vendor import array_namespace as n1
+ from .array_api_extra._lib._utils._compat import array_namespace as n2
+
+ assert n1 is n2