[mlakolar]

The noiseless rank-one FACE/dense test can fail when roundoff-sized fitted means legitimately select opposite eigenfunction signs. Align the analytic eigenfunction and score comparisons with one shared sign at the existing 1e-12 tolerance, and separately check each fit against its own documented mean-alignment or largest-entry fallback rule.

This changes only the analytic test. Estimator code, sign policy, signed R references, and their tolerances are unchanged.

Validation: full Discovery Julia 1.13.2 suite passes 6,315/6,315 tests with one Julia/BLAS thread (job 13424629). All four Julia 1.10/current × Ubuntu/macOS CI jobs, documentation, and Codecov checks pass on head 02b86d6563449a49735f4fd068dc41f0f466de2a. Project coverage is unchanged at 98.36%. Naming and whitespace checks pass.

Closes #34. Part of #33. Targets master, where prerequisite #32 was merged.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.36%. Comparing base (23e95e6) to head (02b86d6).

Additional details and impacted files

@@           Coverage Diff           @@
##           master      #52   +/-   ##
=======================================
  Coverage   98.36%   98.36%           
=======================================
  Files          31       31           
  Lines        3606     3606           
=======================================
  Hits         3547     3547           
  Misses         59       59           

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