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Positive Log Gamma API

Evaluate log Gamma for positive real inputs without factorial overflow.

Evaluate log Gamma for positive real inputs without factorial overflow. Positive real log Gamma using the nine-coefficient g=7 Lanczos approximation and reflection below0.5. Inputs1e-6 through 1e6. Numerical target scales as 1e-10*max(1,abs(reference value)); outputs retain twelve significant digits. No negative or complex-domain support. Uses supplied non-sensitive data only. No live account access, automatic changes or certification. Calculation profile 1.0.0; approximate non-integer numeric outputs use twelve significant digits; representable safe integer numbers and declared decimal-string integers are preserved.

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