Shunting-Yard Animation

Note the shunting yard algorithm is an iterative (as opposed to recursive) version of Pratt parsing (and also precedence climbing which is virtually identical). However as normally stated it does not do proper error checking - it will accept totally invalid input.

That isn't a fundamental limit of the algorithm though; you can easily add error checking, as I did here: https://github.com/Timmmm/expr/blob/1b0aef8f91460974d526b5ba...

I'm not really sure why this is omitted.

I'm not familiar with the algorithm and I don't see much explanation on the site (at least on mobile) but AFAICT this is turning parenthesized infix expressions into reverse Polish notation. In other words, it takes human-readable mathematical formulas and converts them into something a simple stack-based machine can compute in one forward pass.

It also appears that separate digits aren't interpreted as decimal numerals (i.e. (1)(3) is the sequence 1,3 and not 13) which can look a bit misleading.

This is great! As a kid I used to love HO scale model trains. There is an old movie of me on my birthday looking at my train set with eyes as big as plates. Fast forward, and I love networking and programming. I recognized that networking is just trains on Ethernet or Wifi, but now realize even the programming is just the same. Still making things go places and go around after all this time.

Hold up. you can't just have the train take the parenthesis off screen and hand wave away what happens to those cars. What happens when your forced to keep the garbage of a computation because you can't delete anything?

(https://en.wikipedia.org/wiki/Reversible_computing)

I made a basic demo of this years go: https://abdnh.github.io/shunting-yard-algorithm-demo/

If I start the train and then type a nested bracket expression like 2+(2-(3/5)) the train jumps the track

I can’t figure out how to make it start processing the input on mobile Safari, am I missing something?

I typed `100+88/4` and the resulting output was `100884+/`. Should the algorithm be inserting a symbol to delineate operands?