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How exactly does one get better at programming?
(lemmy.world)
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First of all, like all skills, the more you do, the better you get.
One approach not listed would be to read books on algorithms and try to implement them.
Another would be to read good source code. The "good" part is the difficult one here, though.
Have a look at "The TeX Book" and/or "The MetaFont Book" - Both books are well annotated "sources" for two working and long-term assumed bug-free programs. You can learn a lot from those, not only about actually writing a program, but you can get a lot meta-knowledge off this project.
Or look at the sources for the glibc/glibc++.