How does latex write algorithm processes?

I want to write an algorithm flow in my thesis recently. Fortunately, I can see a latex version and I will take this opportunity to learn about it.

The Code is as follows:

%\dontprintsemicolon%doesn't work on my machine\SetCommentSty{textit}\SetKwComment{tcc}{}{} %default /* */\SetSideCommentRight\SetKwInOut{Input}{Input}\SetKwInOut{Output}{Output}\Input{Signal to be filtered $f_1:\Sigma\rightarrow\R^n$\\Cross bilateral function $f_2:\Sigma\rightarrow\Gamma$\\Samples $\p_1,\ldots,\p_m\in\Gamma$\\Partition of unity $\phi_1,\ldots,\phi_m:\Gamma\rightarrow\R$}\Output{Filtered signal $\bar{f}:\Sigma\rightarrow\R^n$}\BlankLine$\bar{f}^{num}(\x), \bar{f}^{den}(\x)\leftarrow0\,\forall\x\in\Sigma$\tcc*[r]{Initialization}\For{$i=1\textrm{ to }m$}{$g^{num}(\x)\leftarrow f_1(\x)K_\Gamma(f_2(\x),\p_i)$\tcc*[r]{Weight signals}$g^{den}(\x)\leftarrow K_\Gamma(f_2(\x),\p_i)$\;$\hat{g}^{num}(\x)\leftarrow \mathbf{T}[g^{num}](\x)$\tcc*[r]{Apply blur operator}$\hat{g}^{den}(\x)\leftarrow \mathbf{T}[g^{den}](\x)$\;$\bar{f}^{num}(\x)\leftarrow \bar{f}^{num}(\x)$\nosemic\tcc*[r]{Collect}\dosemic$\hspace{.75in}+ \hat{g}^{num}(\x)\phi_i(f_2(\x))$\;$\bar{f}^{den}(\x)\leftarrow \bar{f}^{den}(\x) + \hat{g}^{den}(\x)\phi_i(f_2(\x))$\;}$\bar{f}(\x)\leftarrow \nicefrac{\bar{f}^{num}(\x)}{\bar{f}^{den}(\x)}$\tcc*[r]{Normalize}\vspace{.025in}\caption{Generalized bilateral filtering algorithm\vspace{-.2in}}\label{alg:generalized}\end{algorithm}

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You can use it with a smile in the future.