From 21577824dbea88b590dd8b61b5a72c18f9697708 Mon Sep 17 00:00:00 2001 From: Samo Penic <samo.penic@gmail.com> Date: Wed, 23 Oct 2019 18:02:37 +0000 Subject: [PATCH] Talk finished and debugged --- hashtables.html | 164 +++++++++++++++++++++++++++++++++++------------------- 1 files changed, 107 insertions(+), 57 deletions(-) diff --git a/hashtables.html b/hashtables.html index 084cf3f..5314c87 100644 --- a/hashtables.html +++ b/hashtables.html @@ -74,7 +74,8 @@ memory[hashval]=data_index; insert_idx++; - if(insert_idx==8){ + if(insert_idx==13){ + document.getElementById("currll").innerHTML="DONE!"; alert("Completed!"); } else { @@ -89,11 +90,11 @@ if(data_index==-1) data_index=insert_idx; hashval=hash(names[data_index]); console.log("f"+hashval); + oldhashval=hashval; while(backupmemory[hashval]!=-1) hashval=(hashval+1)%13; backupmemory[hashval]=data_index; insert_idx++; insert_index_without_collision++; - //else { console.log(names[data_index] + "==> REMAPPED ==>" + hashval); el1=document.getElementById("o"+hashval); @@ -101,9 +102,13 @@ el1.innerHTML=names[data_index]; el2.innerHTML=phones[data_index]; - if(insert_idx==8){ - alert("Completed!"); + if(oldhashval!=hashval){ + el1.style.color="red"; + el2.style.color="red"; + } + if(insert_idx==13){ document.getElementById("open1current").innerHTML="DONE!"; + alert("Completed!"); } else{ currentInner(document.getElementById("open1current"), insert_idx); } @@ -138,7 +143,7 @@ memory[hashval]=data_index; backupmemory[hashval]=data_index; insert_idx++; - if(insert_idx==8){ + if(insert_idx==13){ alert("Completed!"); } else { @@ -159,10 +164,15 @@ document.getElementById("name5").value, document.getElementById("name6").value, document.getElementById("name7").value, - document.getElementById("name8").value + document.getElementById("name8").value, + document.getElementById("name9").value, + document.getElementById("name10").value, + document.getElementById("name11").value, + document.getElementById("name12").value, + document.getElementById("name13").value ]; - phones=[1,2,3,4,5,6,7,8] - for(i=0;i<8;i++){ + phones=[1,2,3,4,5,6,7,8,9,10,11,12,13] + for(i=0;i<13;i++){ phones[i]="(01)"+Math.floor((Math.random() * 9000) + 1000)+"-"+Math.floor((Math.random() * 900) + 100); } memory=[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]; @@ -181,7 +191,6 @@ document.getElementById("n3").innerHTML=phones[3]; // document.getElementById("intro0").innerHTML=names[0]; -document.getElementById("intro1").innerHTML=names[0]; document.getElementById("s0result").innerHTML=document.getElementById("s0").innerHTML; document.getElementById("s3value").innerHTML=document.getElementById("s3").innerHTML; document.getElementById("s0number").innerHTML=document.getElementById("n0").innerHTML; @@ -190,7 +199,6 @@ /*Filling the values into array demo until collision occurs */ currentInner(document.getElementById("s1current"), 0); -/*end demo until collision*/ } @@ -199,12 +207,13 @@ <div id="naslovnica" class="step slide" data-x="-1000" data-y="-1500"> - <h1>Hardware Meetup - Sputnik, 24. october 2019</h1> + <h1>Hardware Meetup - Sputnik, 24. October 2019</h1> <q>Hash tables</q><br /> - <p class="center"> ... the background of their implementations.</p><br /> + <p class="center"> ... the basic background of their implementations.</p><br /> <p class="footnote">Samo Penič</p> + <img src="images/hashtag.png" style="width:500px" /> </div> <!-- @@ -235,28 +244,13 @@ </div> -<div class="step slide vsebina" data-x="-250" data-y="-500" data-z="750" data-rotate-x="90"> - <h1 class="naslov">Let's fill in the data...</h1> - <form> - <ol> - </li> Name: <input id="name1"></input><br /> - </li> Name: <input id="name2"></input><br /> - </li> Name: <input id="name3"></input><br /> - </li> Name: <input id="name4"></input><br /> - </li> Name: <input id="name5"></input><br /> - </li> Name: <input id="name6"></input><br /> - </li> Name: <input id="name7"></input><br /> - </li> Name: <input id="name8"></input><br /> - </ol><br /><br /> - <button onClick="loadNames()">Save data</button> - </form> -</div> <div class="step slide vsebina" data-x="0" data-y="-1500" data-z="0"> <h1 class="naslov">What is a hash table</h1> <p>Sometimes also called associative array or dictionary. <b>It is a data structure used to map key into values</b></p> <br /><br /> - <p class="center" style="font-size:18pt">data["<span id='intro0'>Yoda</span>"] gives us all the information stored for <span id="intro1">Yoda</span>.</p> + <p class="center">phone_number["<span id='intro0'>Yoda</span>"]</p><br /> + <p class="center" style="font-size:18pt"> stores and returns us the information stored for varible, object, ...</p> <br /><br /> <p style="font-size:18pt">It is widely used to build things such us dictionaries, telephone books, book indexes, ...</p><br /> <p>Hash table provide <b>Insertion, Deletion and Retreival</b> in <b>constant time</b>!</p> @@ -267,13 +261,13 @@ <div class="step slide vsebina" data-x="1000" data-y="-1500" data-z="0"> <h1 class="naslov">However...</h1> - <p class="" style="margin-bottom:30px">The memory is accessible by addressing the data numerically.</p> + <p class="" style="margin-bottom:30px">The computer memory is accessible by addressing the data numerically.</p> - <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">data[0]</div><div id="s0">Yoda</div><div id="n0" style="font-size:15pt">(01)123-1234</div></span> - <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">data[1]</div><div id="s1">Obi</div><div id="n1" style="font-size:15pt">(01)222-2222</div></span> - <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">data[2]</div><div id="s2">Luke</div><div id="n2" style="font-size:15pt">(01)123-1234</div></span> - <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">data[3]</div><div id="s3">Darth</div><div id="n3" style="font-size:15pt">(01)111-1111</div></span> - <p style="margin-top:30px;font-size:15pt">e.g.: Accessing the item at memory location data[0] yields name of the person <b><span id="s0result">Yoda</span></b> and person's phone number: <span id="s0number">(01)123-1234</span></p><br /> + <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">phone[0]</div><div id="s0">Yoda</div><div id="n0" style="font-size:15pt">(01)321-4321</div></span> + <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">phone[1]</div><div id="s1">Obi</div><div id="n1" style="font-size:15pt">(01)222-2222</div></span> + <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">phone[2]</div><div id="s2">Luke</div><div id="n2" style="font-size:15pt">(01)123-1234</div></span> + <span style="width:150px;height:110px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white">phone[3]</div><div id="s3">Darth</div><div id="n3" style="font-size:15pt">(01)111-1111</div></span> + <p style="margin-top:30px;font-size:15pt">e.g.: Accessing the item at memory location phone[0] yields name <b><span id="s0result">Yoda</span></b> and his phone number: <span id="s0number">(01)321-4321 (order reversed it is)</span></p><br /> <p>Finding phone number of <span id="s3value">Darth</span> requires linear search through the array, which is not efficient.</p> @@ -282,6 +276,38 @@ <!-- <div id="overview" class="step" data-x="3000" data-y="1500" data-z="0" data-scale="10"> </div> --> + +<div class="step slide vsebina" data-x="1000" data-y="-500" data-z="750" data-rotate-x="90"> + <h1 class="naslov">Builing a phonebook...</h1> + <form> + <table style="width:100%;"> +<col width="70%"> + <col width="30%"> + <tr> + <td> + <ol style="font-size:16pt;"> + </li> Name: <input id="name1"></input><br /> + </li> Name: <input id="name2"></input><br /> + </li> Name: <input id="name3"></input><br /> + </li> Name: <input id="name4"></input><br /> + </li> Name: <input id="name5"></input><br /> + </li> Name: <input id="name6"></input><br /> + </li> Name: <input id="name7"></input><br /> + </li> Name: <input id="name8"></input><br /> + </li> Name: <input id="name9"></input><br /> + </li> Name: <input id="name10"></input><br /> + </li> Name: <input id="name11"></input><br /> + </li> Name: <input id="name12"></input><br /> + </li> Name: <input id="name13"></input><br /> + </ol> + </td> + <td> + <button onClick="loadNames()">Save data</button><br /> + </td> + </tr> + </table> + </form> +</div> <div class="step slide vsebina" data-x="2000" data-y="-1500" data-z="0"> @@ -294,19 +320,19 @@ <button onclick="insertIntoMemory(-1);">Insert</button> <br /><br /> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[0]</div><div id="f0" style="font-size:18px"> </div><div id="nf0" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[1]</div><div id="f1" style="font-size:18px"> </div><div id="nf1" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[2]</div><div id="f2" style="font-size:18px"> </div><div id="nf2" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[3]</div><div id="f3" style="font-size:18px"> </div><div id="nf3" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[4]</div><div id="f4" style="font-size:18px"> </div><div id="nf4" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[5]</div><div id="f5" style="font-size:18px"> </div><div id="nf5" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[6]</div><div id="f6" style="font-size:18px"> </div><div id="nf6" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[7]</div><div id="f7" style="font-size:18px"> </div><div id="nf7" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[8]</div><div id="f8" style="font-size:18px"> </div><div id="nf8" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[9]</div><div id="f9" style="font-size:18px"> </div><div id="nf9" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[10]</div><div id="f10" style="font-size:18px"> </div><div id="nf10" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[11]</div><div id="f11" style="font-size:18px"> </div><div id="nf11" style="font-size:11pt"> </div></span> - <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">data[12]</div><div id="f12" style="font-size:18px"> </div><div id="nf12" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[0]</div><div id="f0" style="font-size:18px"> </div><div id="nf0" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[1]</div><div id="f1" style="font-size:18px"> </div><div id="nf1" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[2]</div><div id="f2" style="font-size:18px"> </div><div id="nf2" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[3]</div><div id="f3" style="font-size:18px"> </div><div id="nf3" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[4]</div><div id="f4" style="font-size:18px"> </div><div id="nf4" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[5]</div><div id="f5" style="font-size:18px"> </div><div id="nf5" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[6]</div><div id="f6" style="font-size:18px"> </div><div id="nf6" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[7]</div><div id="f7" style="font-size:18px"> </div><div id="nf7" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[8]</div><div id="f8" style="font-size:18px"> </div><div id="nf8" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[9]</div><div id="f9" style="font-size:18px"> </div><div id="nf9" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[10]</div><div id="f10" style="font-size:18px"> </div><div id="nf10" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[11]</div><div id="f11" style="font-size:18px"> </div><div id="nf11" style="font-size:11pt"> </div></span> + <span style="width:90px;height:100px;border:1px solid #000;margin:0px;display:inline-block;margin-left:-8px;"><div style="background:grey;color:white;font-size:18px">phone[12]</div><div id="f12" style="font-size:18px"> </div><div id="nf12" style="font-size:11pt"> </div></span> </div> @@ -314,14 +340,14 @@ <div class="step slide vsebina" data-x="2000" data-y="-1500" data-z="-1500"> <h1 class="naslov">Collisions!</h1> - <p>They will occur. The probability depends on Load factor (LF=number_of_items/array_size)</p> + <p>They will occur. The probability depends on Load factor (LF=number_of_items/array_size)</p><br /> - <p>We can cope with collisions in multitude of ways:</p> + <p>We can cope with collisions in different of ways:</p><br /> <ul> <li>Closed addressing (chaining) - <li>Open addressing (linear probing) (million ways how to do it) - <li>using alternate hash functions (million ways how to do it) - <li>Resize array ;) (not a scientific way to do it) + <li>Open addressing (linear probing) + <li>using alternate hash functions + <li>Resize the array ;) </ul> </div> @@ -385,21 +411,45 @@ <div class="step slide vsebina" data-x="3000" data-y="-1500" data-z="0"> - <h1 class="naslov">Hash function properties</h1> + <h1 class="naslov">Hash function has to...</h1> <ul> - <li>Hash function should minimize collisions - <li>Uniformly distribute hash values - <li>Are easy to calculate + <li>minimize collisions + <li>uniformly distribute hash values + <li>be easy to calculate </ul> </div> <div class="step slide vsebina" data-x="4000" data-y="-1500" data-z="0" data-rotate="90"> <h1 class="naslov">Python dictionaries</h1> + <p>Python relys heavily on dictionaries, so it is important they are efficient. Uses open addressing multihash to minimize collisions.</p> + <pre style="font-size:15pt;margin-top:-10px"> +<code> +table = [None] * n; +for hash, key, value in entries: + perturb = hash + i = hash % n + while table[i] is not None: + #collision + i = (5 * i * perturb + 1) % n + perturb >>= 5 + table[i] = (key, value) +</code></pre> + + <p>See talk: Raymond Hettinger -- Modern dictionaries (SF Python 2006)</p> </div> <div class="step slide vsebina" data-x="4000" data-y="-2500" data-z="0" data-rotate="90"> <h1 class="naslov">Hash tables in firmware</h1> + <ul> + <li>Hash tables have average time complexity around O(1) for I,L,D + <li>Do not resize tables - plan in advance + <li>Use the power of prime numbers + <li>Storing pointers of data in hash is not a bad idea (!) + <ul style="margin-left:50px"> + <li>to save memory, when data is large + <li>to get ordered dict if needed + </ul> </div> -- Gitblit v1.9.3