Fix complex dot product bugs: add np.conj() to match MATLAB x'*x #58
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The original Python port incorrectly translated MATLAB's x'*x (conjugate transpose times x) to np.dot(x, x), which doesn't conjugate. For complex data, this produces complex results instead of real values. Fixed 3 source code bugs in spgl1.py: - Line 1342: f = f + (mu/2) * np.dot(x, x) -> np.dot(np.conj(x), x) - Line 1537: Same fix in tau update section - Line 2023: Fixed both np.dot(r, r) and np.dot(x, x) in rnorm computation Also added np.real() to 8 expressions that are mathematically real but may have tiny imaginary residuals from floating-point arithmetic: - rtr, f_dual, gap, aerror_dual, gtd, sts, sty computations Fixed corresponding bugs in test_mu_parameter.py where tests computed expected values using the same incorrect formula. Added regression tests (TestMuComplexData) that would have caught these bugs: - test_mu_complex_objective_is_real: Verifies rnorm is real - test_mu_complex_matches_manual_computation: Verifies formula - test_mu_complex_matches_matlab: Compares with MATLAB for complex data Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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The original Python port incorrectly translated MATLAB's x'*x (conjugate transpose times x) to np.dot(x, x), which doesn't conjugate. For complex data, this produces complex results instead of real values.
Fixed 3 source code bugs in spgl1.py:
Also added np.real() to 8 expressions that are mathematically real but may have tiny imaginary residuals from floating-point arithmetic:
Fixed corresponding bugs in test_mu_parameter.py where tests computed expected values using the same incorrect formula.
Added regression tests (TestMuComplexData) that would have caught these bugs: