feat: add stats/base/dists/log-logistic/cdf

[parthodas23]

Resolves none

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This pull request:

• feat: add stats/base/dists/log-logistic/cdf

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• RFC: add the log-logistic distribution #175

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Coverage Report

Package	Statements	Branches	Functions	Lines
stats/base/dists/log-logistic/cdf	$\color{green}303/303$ $\color{green}+0.00%$	$\color{green}25/25$ $\color{green}+0.00%$	$\color{green}4/4$ $\color{green}+0.00%$	$\color{green}303/303$ $\color{green}+0.00%$

The above coverage report was generated for the changes in this PR.

[rautelaKamal]

Hey @parthodas23, pulling this down to review since I am also doing C-ports for distributions.

Found a subtle numerical overflow issue in src/main.c around lines 51-52:
xb = stdlib_base_pow( x / alpha, beta );
return xb / ( 1.0 + xb );

If x or beta is large enough, xb will overflow to Infinity. In C, calculating Infinity / (1.0 + Infinity) will evaluate to NaN instead of capping at 1.0.

You can actually prevent the overflow entirely by inverting the fraction analytically. If you compute it as:
return 1.0 / ( 1.0 + stdlib_base_pow( alpha / x, beta ) );

Then when x gets huge, alpha / x approaches 0.0, the denominator safely becomes 1.0, and the function returns 1.0 without any overflow or NaN issues.

Hope this helps! Happy to review again once you update.