Port WEDistribution (Wrapped Exponential) from libDirectional

[Copilot]

Ports the WEDistribution (Wrapped Exponential Distribution) from libDirectional to PyRecEst, following the same conventions as WrappedLaplaceDistribution and WrappedCauchyDistribution.

New: WrappedExponentialDistribution

Single rate parameter lambda_ (> 0). Implements:

• pdf — λ·exp(-λx) / (1 - exp(-2πλ)), normalization constant pre-computed in __init__
• trigonometric_moment(n) — closed-form: 1 / (1 - jn/λ)
• sample(n) — inverse CDF: mod(-log(U)/λ, 2π) where U ~ Uniform(0,1)
• entropy — analytical: 1 + log((eᵝ-1)/λ) - eᵝ/(eᵝ-1)·β where β = 2πλ

from pyrecest.distributions import WEDistribution
import numpy as np

we = WEDistribution(np.array(2.0))
we.pdf(np.array([0.5, 1.0, 2.0]))
we.sample(100)
we.entropy()

Integration

• Exported from pyrecest.distributions as WrappedExponentialDistribution
• WEDistribution alias added for libDirectional compatibility

[github-actions]

✅MegaLinter analysis: Success

Descriptor	Linter	Files	Fixed	Errors	Warnings	Elapsed time
✅ COPYPASTE	jscpd	yes		no	no	8.1s
✅ JSON	prettier	2	0	0	0	0.47s
✅ JSON	v8r	2		0	0	2.68s
✅ MARKDOWN	markdownlint	1	0	0	0	0.65s
✅ MARKDOWN	markdown-table-formatter	1	0	0	0	0.27s
✅ PYTHON	bandit	252		0	0	3.09s
✅ PYTHON	black	252	1	0	0	4.38s
✅ PYTHON	flake8	252		0	0	1.75s
✅ PYTHON	isort	252	1	0	0	0.49s
✅ PYTHON	mypy	252		0	0	4.07s
✅ PYTHON	pylint	252		0	0	70.2s
✅ PYTHON	ruff	252	1	0	0	0.04s
✅ REPOSITORY	checkov	yes		no	no	22.9s
✅ REPOSITORY	gitleaks	yes		no	no	4.03s
✅ REPOSITORY	git_diff	yes		no	no	0.04s
✅ REPOSITORY	secretlint	yes		no	no	6.38s
✅ REPOSITORY	syft	yes		no	no	3.28s
✅ REPOSITORY	trivy-sbom	yes		no	no	1.78s
✅ REPOSITORY	trufflehog	yes		no	no	15.91s
✅ YAML	prettier	4	0	0	0	0.51s
✅ YAML	v8r	4		0	0	4.67s
✅ YAML	yamllint	4		0	0	0.37s

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[github-actions]

Test Results

    8 files   -     4      8 suites   - 4   1h 28m 19s ⏱️ - 1h 47m 51s
  623 tests +   90    623 ✅ + 90    0 💤 ±  0  0 ❌ ±0 
5 176 runs   - 1 432  4 880 ✅  - 552  296 💤  - 880  0 ❌ ±0 

Results for commit 13eecd3. ± Comparison against base commit c3471d3.

♻️ This comment has been updated with latest results.

[FlorianPfaff]

@copilot increase tolerances of the tests to 5e-7
FAILED pyrecest/tests/distributions/test_wrapped_exponential_distribution.py::WrappedExponentialDistributionTest::test_pdf - AssertionError:
Not equal to tolerance rtol=1e-10, atol=0

Mismatched elements: 1 / 1 (100%)
Max absolute difference among violations: 2.3841858e-07
Max relative difference among violations: 1.1920888e-07
ACTUAL: array(2.000007, dtype=float32)
DESIRED: array(2.000007, dtype=float32)
FAILED pyrecest/tests/test_euclidean_sampler.py::TestGaussianSampler::test_samples_follow_gaussian_distribution - AssertionError: np.float64(0.008930226739329363) not greater than 0.05
= 2 failed, 319 passed, 232 skipped, 4

[Copilot]

@copilot increase tolerances of the tests to 5e-7
FAILED pyrecest/tests/distributions/test_wrapped_exponential_distribution.py::WrappedExponentialDistributionTest::test_pdf - AssertionError:
Not eq...

Done in 13eecd3. All rtol values in the test have been updated to 5e-7.