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hashtable.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta content="width=device-width, initial-scale=1.0" name="viewport" />
<title>Hash table - AlgoVis.io</title>
<meta
content="AlgoVis is an online algorithm visualization tool."
name="description"
/>
<meta content="algorithm visualization tool online" name="keywords" />
<!-- Favicons -->
<link href="assets/img/favicon.png" rel="icon" />
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rel="stylesheet"
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href="assets/vendor/bootstrap/css/bootstrap.min.css"
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/>
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<link href="assets/css/style.css" rel="stylesheet" />
</head>
<body>
<!-- ======= Top Bar ======= -->
<div
id="topbar"
class="d-none d-lg-flex align-items-center fixed-top header-inner-pages"
>
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href="https://www.linkedin.com/in/tobias-noethlich/"
class="linkedin"
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></a>
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</div>
<!-- ======= Header ======= -->
<header id="header" class="fixed-top header-inner-pages">
<div class="container-fluid d-flex align-items-center">
<a class="btn back-button mr-4" href="datastructures.html"
><i class="bx bx-arrow-back white-text" aria-hidden="true"></i>
Back</a
>
<h1 class="logo mr-auto"><a href="index.html">Algovis.io</a></h1>
<!-- Uncomment below if you prefer to use an image logo -->
<!-- <a href="index.html" class="logo mr-auto"><img src="assets/img/logo.png" alt="" class="img-fluid"></a>-->
<nav class="nav-menu d-none d-lg-block">
<ul>
<li><a href="index.html">Home</a></li>
</ul>
</nav>
<!-- .nav-menu -->
</div>
</header>
<!-- End Header -->
<main id="main">
<!-- ======= Breadcrumbs ======= -->
<section id="breadcrumbs" class="breadcrumbs">
<div class="container-fluid">
<ol>
<li><a href="index.html">Home</a></li>
<li><a href="datastructures.html">Data structures</a></li>
<li>Hash table</li>
</ol>
<h2>Hash table visualization</h2>
</div>
</section>
<!-- End Breadcrumbs -->
<section class="inner-page pt-2">
<div class="container-fluid">
<div class="row mx-auto mb-2">
<div class="col-sm-2 pl-0">
<button
class="btn btn-block btn-dark"
onclick="generateTable(-1)"
id="generate"
>
Create hash table
</button>
</div>
<div id="size-input" class="col-sm-2 pl-0 pr-0">
<form class="form-inline">
<div class="col-2">
<label class="mr-2" for="data-val-input">Size:</label>
</div>
<div class="col-10">
<input
type="number"
class="form-control mx-auto w-100"
id="data-size-input"
placeholder="10"
/><small id="size-error" class="red-text" hidden>
Please select a number < 21.
</small>
</div>
</form>
</div>
<div class="col-sm-2 pl-0">
<div class="dropdown">
<button
class="btn btn-dark btn-block dropdown-toggle"
type="button"
id="dropdownHash"
data-toggle="dropdown"
aria-haspopup="true"
aria-expanded="false"
>
Set hash function
</button>
<div class="dropdown-menu" aria-labelledby="dropdownHash">
<button
class="dropdown-item"
onclick="setHashtableCollRes('linear_probing')"
type="button"
>
Linear probing
</button>
<button
class="dropdown-item"
onclick="setHashtableCollRes('quadratic_probing')"
type="button"
>
Quadratic probing
</button>
</div>
</div>
<small id="hash-error" class="red-text" hidden
>Please select a hash function!</small
>
</div>
<div class="col-sm-2 pl-0">
<div class="dropdown">
<button
class="btn btn-dark btn-block dropdown-toggle"
type="button"
id="dropdownOp"
data-toggle="dropdown"
aria-haspopup="true"
aria-expanded="false"
>
Select an operation
</button>
<div class="dropdown-menu" aria-labelledby="dropdownOp">
<button
class="dropdown-item"
onclick="setOperation(1)"
type="button"
>
Insert element
</button>
<button
class="dropdown-item"
onclick="setOperation(2)"
type="button"
>
Remove element
</button>
<button
class="dropdown-item"
onclick="setOperation(3)"
type="button"
>
Search element
</button>
</div>
</div>
</div>
<div id="valInput" class="col-sm-2 pl-0 pr-0" hidden>
<form class="form-inline">
<div class="col-2">
<label class="mr-2" for="data-val-input">Data:</label>
</div>
<div class="col-10">
<input
type="number"
class="form-control mx-auto w-100"
id="data-val-input"
placeholder="22"
/><small id="data-error" class="red-text" hidden>
Please select a number < 10,000.
</small>
</div>
</form>
</div>
<div class="col-sm-2 pl-0">
<button
class="btn btn-block btn-danger red"
type="button"
id="startOp"
onclick="runOp()"
>
Go!
</button>
</div>
</div>
<div class="data-container border-dark p-1 mb-0 mt-0 w-100">
<svg id="visu"></svg>
</div>
<div class="row mx-auto" id="remove-pseudocode" hidden>
<div class="col-sm-12 col-md-12 col-lg-6 px-0 mr-0">
<div class="ide w-100">
<div class="row ml-auto mr-auto 1">
index = hashtable.<span class="op">search</span>(data)
</div>
<div class="row ml-auto mr-auto mt-1 2">
<span class="op">if</span> (index != -1):
</div>
<div class="row ml-auto mr-auto mt-1 3">
   hashtable[index] = none
</div>
</div>
</div>
<div class="col-sm-12 col-md-12 col-lg-6 ml-0 px-0">
<div class="ide w-100 pl-0">
<div class="row ml-auto mr-auto">
<span class="comment w-100">SHORT EXPLANATION</span>
<span class="comment w-100 mt-1"
>1. Find the index of the data which is to be deleted.</span
>
<span class="comment w-100 mt-1">
2. Set the data on the previously found index to none.
</span>
</div>
</div>
</div>
</div>
<div class="row mx-auto" id="insert-pseudocode" hidden>
<div class="col-sm-12 col-md-12 col-lg-6 px-0 mr-0">
<div class="ide w-100">
<div class="row ml-auto mr-auto 1">
<span class="op">switch</span>(hashtable.<span class="var"
>collisionResolution</span
>)
</div>
<div class="row ml-auto mr-auto mt-1 2">
  <span class="op">case</span
> "linear_probing":
</div>
<div class="row ml-auto mr-auto mt-1 3">
     key = data % hashtable.<span
class="var"
>length</span
>
</div>
<div class="row ml-auto mr-auto mt-1 4">
     start = key
</div>
<div class="row ml-auto mr-auto mt-1 5">
    
<span class="op"> while</span>(hashtable[key] != none)
</div>
<div class="row ml-auto mr-auto mt-1 6">
       key = (key + 1) %
hashtable.<span class="var">length</span>
</div>
<div class="row ml-auto mr-auto mt-1 7">
       <span class="op"
>if</span
>(key == start)
</div>
<div class="row ml-auto mr-auto mt-1 8">
        
<span class="op">return</span> error
</div>
<div class="row ml-auto mr-auto mt-1 9">
     hashtable[key] = data
</div>
<div class="row ml-auto mr-auto mt-1 10">
  <span class="op">case</span
> "quadratic_probing":
</div>
<div class="row ml-auto mr-auto mt-1 11">
     step = 0
</div>
<div class="row ml-auto mr-auto mt-1 12">
     key = data % hashtable.<span
class="var"
>length</span
>
</div>
<div class="row ml-auto mr-auto mt-1 13">
     
<span class="op">while</span>(hashtable[key] != none)
</div>
<div class="row ml-auto mr-auto mt-1 14">
        step += 1
</div>
<div class="row ml-auto mr-auto mt-1 15">
        key = (data +
step * step) % hashtable.<span class="var">length</span>
</div>
<div class="row ml-auto mr-auto mt-1 16">
        
<span class="op">if</span>(step == hashtable.<span class="var"
>length</span
>)
</div>
<div class="row ml-auto mr-auto mt-1 17">
          
<span class="op">return</span> error
</div>
<div class="row ml-auto mr-auto mt-1 18">
      hashtable[key] = data
</div>
</div>
</div>
<div class="col-sm-12 col-md-12 col-lg-6 ml-0 px-0">
<div class="ide w-100 pl-0">
<div class="row ml-auto mr-auto">
<span class="comment w-100"> </span>
<span class="comment w-100 mt-1">---------------------</span>
<span class="comment w-100 mt-1">| SHORT EXPLANATION |</span>
<span class="comment w-100 mt-1">---------------------</span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1"
>1. Determine which method of collision resolution the
hashtable (HT) uses. (There's usually just one.)</span
>
<span class="comment w-100 mt-1">
- no matter the method of collision resolution, the first
tested index gets calculated with: data % length of HT.
</span>
<span class="comment w-100 mt-1"
>2. If there's already data stored at the previously
calculated index, calculate the next index where the data
can be stored.</span
>
<span class="comment w-100 mt-1"
>- if the HT uses linear probing, the next possible index is
simply: (current index + 1) % length of HT.
</span>
<span class="comment w-100 mt-1"
>- for quadratic probing, the index gets calculated like
this: (data + number of tries²) % length of HT</span
>
<span class="comment w-100 mt-1"
>3. Repeat step 2 until the data was either inserted
successfully or
</span>
<span class="comment w-100 mt-1"
>  a) you've looped through the whole HT (linear
probing)</span
>
<span class="comment w-100 mt-1"
>  b) the number of tries = length of HT
(quadratic probing)</span
>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1">Time complexity:</span>
<span class="comment w-100 mt-1">Average case: O(1)</span>
<span class="comment w-100 mt-1">Worst case: O(n)</span>
<span class="comment w-100 mt-1"> </span>
</div>
</div>
</div>
</div>
<div class="row mx-auto" id="search-pseudocode" hidden>
<div class="col-sm-12 col-md-12 col-lg-6 px-0 mr-0">
<div class="ide w-100">
<div class="row ml-auto mr-auto 1">
<span class="op">switch</span>(hashtable.<span class="var"
>collisionResolution</span
>)
</div>
<div class="row ml-auto mr-auto mt-1 2">
  <span class="op">case</span
> "linear_probing":
</div>
<div class="row ml-auto mr-auto mt-1 3">
    key = data % hashtable.<span
class="var"
>length</span
>
</div>
<div class="row ml-auto mr-auto mt-1 4">
    start = key
</div>
<div class="row ml-auto mr-auto mt-1 5">
    
<span class="op">if</span>(hashtable[key] == none)
</div>
<div class="row ml-auto mr-auto mt-1 6">
       
<span class="op">return</span> -1
</div>
<div class="row ml-auto mr-auto mt-1 7">
    
<span class="op">while</span>(hashtable[key] != data)
</div>
<div class="row ml-auto mr-auto mt-1 8">
       key = (key + 1) %
hashtable.<span class="var">length</span>
</div>
<div class="row ml-auto mr-auto mt-1 9">
       <span class="op"
>if</span
>(key == start || hashtable[key] == none)
</div>
<div class="row ml-auto mr-auto mt-1 10">
         
<span class="op">return</span> -1
</div>
<div class="row ml-auto mr-auto mt-1 11">
    
<span class="op">return</span> key
</div>
<div class="row ml-auto mr-auto mt-1 12">
  <span class="op">case</span
> "quadratic_probing":
</div>
<div class="row ml-auto mr-auto mt-1 13">
    step = 0
</div>
<div class="row ml-auto mr-auto mt-1 14">
    key = data % hashtable.<span
class="var"
>length</span
>
</div>
<div class="row ml-auto mr-auto mt-1 15">
    
<span class="op">if</span>(hashtable[key] == none)
</div>
<div class="row ml-auto mr-auto mt-1 16">
       
<span class="op">return</span> -1
</div>
<div class="row ml-auto mr-auto mt-1 17">
     
<span class="op">while</span>(hashtable[key] != data)
</div>
<div class="row ml-auto mr-auto mt-1 18">
        step += 1
</div>
<div class="row ml-auto mr-auto mt-1 19">
        key = (data +
step * step) % hashtable.<span class="var">length</span>
</div>
<div class="row ml-auto mr-auto mt-1 20">
        
<span class="op">if</span>(step == hashtable.<span class="var"
>length</span
>  || hashtable[key] == none)
</div>
<div class="row ml-auto mr-auto mt-1 21">
          
<span class="op">return</span> -1
</div>
<div class="row ml-auto mr-auto mt-1 22">
     
<span class="op">return</span> key
</div>
</div>
</div>
<div class="col-sm-12 col-md-12 col-lg-6 ml-0 px-0">
<div class="ide w-100 pl-0">
<div class="row ml-auto mr-auto">
<span class="comment w-100"> </span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1">---------------------</span>
<span class="comment w-100 mt-1">| SHORT EXPLANATION |</span>
<span class="comment w-100 mt-1">---------------------</span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1"
>1. Determine which method of collision resolution the
hashtable (HT) uses. (There's usually just one.)</span
>
<span class="comment w-100 mt-1">
- no matter the method of collision resolution, the first
tested index gets calculated with: data % length of HT.
</span>
<span class="comment w-100 mt-1"
>2a). There's nothing at the previously calculated index,
the searched data is not stored in the HT -> return
-1.</span
>
<span class="comment w-100 mt-1"
>2b.) The searched data is stored at that index, return the
index.
</span>
<span class="comment w-100 mt-1"
>2c). There is some data at the the index but it's not the
one you're looking for, proceed to step 3.</span
>
<span class="comment w-100 mt-1"
>3. Calculate the next index to check in the same way it's
done when inserting data.
</span>
<span class="comment w-100 mt-1"
>4. Repeat steps 2 and potentially 3 until the data has been
found, or until the abort criteria are met.</span
>
<span class="comment w-100 mt-1"
>- the abort criteria are the same as when inserting data,
plus aborting when there's no data stored at an index.</span
>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1">Time complexity:</span>
<span class="comment w-100 mt-1">Average case: O(1)</span>
<span class="comment w-100 mt-1">Worst case: O(n)</span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1"> </span>
<span class="comment w-100 mt-1"> </span>
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"disabled",
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switch (operation) {
//--- INSERT ---
case "insert":
d3.select("#results-text").text("");
let data = !$("#data-val-input").val()
? 22
: Number($("#data-val-input").val());
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"Please select a number that's not already in the hash table."
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}
break;
default:
break;
}
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