[AHMETHAKANBEZIR1]

Summary

Fixes #879.

Simplex projection is invariant to a common offset per column. Center floating inputs before sorting and thresholding so equal large float32/float64 inputs retain unit mass instead of producing all zeros. Integer inputs keep their existing path. This change does not address the separate sparse projection or change validation for nonpositive simplex radii.

Validation

• Exact original function restored in memory: 8 regression failures and 12 controls passed across NumPy and PyTorch.
• Complete utils module: 124 passed with NumPy; 190 passed with NumPy/PyTorch (2 existing warnings).
• NumPy/JAX 0.10.0 projection selection: 22 passed.
• Two PyTorch analytic gradient checks passed against the tangent-space reference.
• Applicable configured hooks and git diff check passed. The configured test-lint hook selected no files; a separate Ruff check reports the same 10 diagnostics on untouched baseline and this revision.
• Focused API Sphinx build with warnings as errors passed.
• Previously built this checkout from native MSVC/OpenMP/Cython/Eigen sources; native sources are unchanged by this PR.

Full package, GPU, TensorFlow, CuPy, compilation and full project documentation were not run. The regression reference uses floating np.full rather than integer-inheriting full_like; that initial test-oracle mistake was corrected before the final baseline and validation runs.

Contribution disclosure

Prepared autonomously with OpenAI Codex, including implementation and tests. No independent human review has been performed. Codex is recorded as a commit co-author.

Current base validation

Merged master c02a25c, retaining both release-note entries and upstream device-allocation fixes. Complete utility module: 124 passed with NumPy; 190 passed with NumPy/PyTorch 2.9.1 CPU. Focused simplex tests in the NumPy/TensorFlow environment: 23 passed. Applicable configured hooks and diff checks pass. This update did not run the full package suite or GPU tests; CI is pending.

20 October master integration

Merged current master 5cb82c9, preserving both the existing fix release note and the upstream API-documentation release note. The only conflict was in RELEASES.md; production code and regression tests merged without conflict. Complete utility module with NumPy: 124 passed. Focused simplex tests with NumPy/TensorFlow: 23 passed. Applicable configured pre-commit hooks and diff checks pass. These are Windows/Python 3.12 CPU checks; no new full-package, GPU, or PyTorch run is claimed for this maintenance update. GitHub CI is pending. Autonomous Codex contribution disclosure above still applies.

20 October CI completion check

Current-head CircleCI documentation build and documentation artifact checks now pass. The labeler also passes. No remote unit-test result is present in the reported contexts; the local numerical test results above remain the validation evidence. The pull request remains open pending maintainer review.