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Construct a hash table using linear probing

#1
06-22-2022, 07:45 PM
You know building a hash table this way starts with grabbing an array that fits your data needs. I pick one sized like a prime number so collisions stay spread out. You hash the key first to land on a starting spot. Then check if it sits empty before dropping the value in. But if someone already claimed it you just slide over one slot at a time. I keep moving forward until an open place shows up. Or the table wraps back to the front if you hit the end. This keeps everything simple without jumping around wildly.

You might run into clusters where items bunch together after repeated probes. I see that slow down searches later because you scan longer stretches. Also load factor matters a ton here since you want under seventy percent full to hold speed. If it gets denser you should resize the whole array and rehash everything fresh. That avoids the bad slowdowns when too many keys fight for the same path. Perhaps test a few insertions yourself to watch how the probes chain out.

Search works almost the same as insert so you hash then walk the line until you match the key or hit empty. I never stop at a deleted marker though because that could hide the real item further down. You mark spots as removed instead of wiping them clean so probes continue correctly. This trick keeps the chain intact for future lookups. But it does fill space over time until you clean house with a rebuild.

Deletion needs care or else you break the probe sequence for other keys. I use a special flag on the slot to say it once held something. Then searches skip right past without stopping there. You still have to watch for the real end of the chain though. Maybe resize after several deletes to clear out those flags and reclaim room.

Performance drops when primary clustering builds long runs of occupied spots. I notice keys that hash near each other end up packed tight. Secondary clustering happens too if the hash function repeats patterns. You fix some of that by tweaking the hash to mix bits better before probing starts. Still linear probing stays easy to code and cache friendly compared to other methods.

Edge cases pop up like full tables where you must rehash or crash. I always leave headroom so you never hit that wall during normal use. Keys that collide a lot test the probe length hard. Perhaps spread your test data to see worst case chains form. Rehashing moves every item to a bigger array with a fresh hash.

You handle strings or objects by turning them into numbers first then modding down to the array size. I do that step early so the probe starts in a decent location. Collisions force the linear walk but you stop once you find the matching key during search. Empty slots signal the end of possible matches. Deleted flags let you keep walking past them.

Over time the table needs monitoring for how probes average out. I track that by counting steps on each operation. If averages climb you resize sooner rather than later. You gain speed back after the rehash finishes. Clusters shrink when you double the size and spread things again.

Load grows with every insert so you watch it closely. I calculate it as items divided by slots after each change. Once it crosses a threshold you trigger the resize. That keeps probe lengths short and operations quick. Without it the table turns sluggish fast.

You can combine this with other tricks like double hashing for variety but linear stays basic. I stick to it for quick prototypes where simplicity wins. Still understand the clustering trade off before shipping code. Perhaps benchmark a few sizes to pick what works for your data patterns.

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ProfRon
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Construct a hash table using linear probing - by ProfRon - 06-22-2022, 07:45 PM

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Construct a hash table using linear probing

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