-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathalgorithm-tracing.html
229 lines (201 loc) · 10.9 KB
/
algorithm-tracing.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
<!DOCTYPE html>
<html lang="en"
>
<head>
<title>Algorithm Tracing - Computer Science Notes</title>
<!-- Using the latest rendering mode for IE -->
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="canonical" href="./algorithm-tracing.html">
<meta name="author" content="Sergio Ugalde Marcano" />
<meta name="keywords" content="Algorithms,Fourth_Semester" />
<meta name="description" content="Definition This refers to a step-by-step analysis of what a computational calculation performs. By making it explicit what is executed in the program and how the variables included are affected in each execution cycle. Example The following example, coded in C, illustrates the tracing of reversing the contents on an ..." />
<meta property="og:site_name" content="Computer Science Notes" />
<meta property="og:type" content="article"/>
<meta property="og:title" content="Algorithm Tracing"/>
<meta property="og:url" content="./algorithm-tracing.html"/>
<meta property="og:description" content="Definition This refers to a step-by-step analysis of what a computational calculation performs. By making it explicit what is executed in the program and how the variables included are affected in each execution cycle. Example The following example, coded in C, illustrates the tracing of reversing the contents on an ..."/>
<meta property="article:published_time" content="2015-02-08" />
<meta property="article:section" content="Parcial_1" />
<meta property="article:tag" content="Algorithms" />
<meta property="article:tag" content="Fourth_Semester" />
<meta property="article:author" content="Sergio Ugalde Marcano" />
<!-- Bootstrap -->
<link rel="stylesheet" href="./theme/css/bootstrap.min.css" type="text/css"/>
<link href="./theme/css/font-awesome.min.css" rel="stylesheet">
<link href="./theme/css/pygments/friendly.css" rel="stylesheet">
<link href="./theme/css/typogrify.css" rel="stylesheet">
<link rel="stylesheet" href="./theme/css/style.css" type="text/css"/>
</head>
<body>
<div class="navbar navbar-default navbar-fixed-top" role="navigation">
<div class="container">
<div class="navbar-header">
<button type="button" class="navbar-toggle" data-toggle="collapse" data-target=".navbar-ex1-collapse">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<a href="./" class="navbar-brand">
Computer Science Notes </a>
</div>
<div class="collapse navbar-collapse navbar-ex1-collapse">
<ul class="nav navbar-nav">
<li><a href="./pages/about.html">
About
</a></li>
<li >
<a href="./category/modelling.html">Modelling</a>
</li>
<li class="active">
<a href="./category/parcial_1.html">Parcial_1</a>
</li>
<li >
<a href="./category/parcial_2.html">Parcial_2</a>
</li>
<li >
<a href="./category/parcial_3.html">Parcial_3</a>
</li>
</ul>
<ul class="nav navbar-nav navbar-right">
<li><a href="./archives.html"><i class="fa fa-th-list"></i><span class="icon-label">Archives</span></a></li>
</ul>
</div>
<!-- /.navbar-collapse -->
</div>
</div> <!-- /.navbar -->
<!-- Banner -->
<!-- End Banner -->
<div class="container">
<div class="row">
<div class="col-sm-9">
<section id="content">
<article>
<header class="page-header">
<h1>
<a href="./algorithm-tracing.html"
rel="bookmark"
title="Permalink to Algorithm Tracing">
Algorithm Tracing
</a>
</h1>
</header>
<div class="entry-content">
<div class="panel">
<div class="panel-body">
<footer class="post-info">
<span class="label label-default">Date</span>
<span class="published">
<i class="fa fa-calendar"></i><time datetime="2015-02-08T00:00:00-06:00"> Sun 08 February 2015</time>
</span>
<span class="label label-default">Tags</span>
<a href="./tag/algorithms.html">Algorithms</a>
/
<a href="./tag/fourth_semester.html">Fourth_Semester</a>
</footer><!-- /.post-info --> </div>
</div>
<h3 id="definition">Definition</h3>
<p>This refers to a step-by-step analysis of what a computational calculation performs. By making it explicit what is executed in the program and how the variables included are affected in each execution cycle. </p>
<h3 id="example">Example</h3>
<p>The following example, coded in <a href="./c-programming-basics.html">C</a>, illustrates the tracing of reversing the contents on an <a href="./one-dimensional-arrays.html">Array</a>.</p>
<p>Code:</p>
<div class="highlight"><pre><span class="cp">#include <stdio.h></span>
<span class="kt">int</span> <span class="nf">main</span> <span class="p">(</span><span class="kt">void</span><span class="p">){</span>
<span class="kt">int</span> <span class="n">my_array</span><span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="o">=</span> <span class="p">{</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">};</span>
<span class="kt">int</span> <span class="n">size</span><span class="o">=</span><span class="mi">6</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span><span class="n">temp</span><span class="p">,</span> <span class="n">index</span> <span class="o">=</span> <span class="n">size</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span>
<span class="k">for</span> <span class="p">(</span><span class="n">x</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span> <span class="n">x</span><span class="o"><</span><span class="n">size</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span><span class="n">x</span><span class="o">++</span><span class="p">){</span>
<span class="n">temp</span> <span class="o">=</span> <span class="n">my_array</span><span class="p">[</span><span class="n">x</span><span class="p">];</span>
<span class="n">my_array</span><span class="p">[</span><span class="n">x</span><span class="p">]</span> <span class="o">=</span><span class="n">my_array</span><span class="p">[</span><span class="n">index</span><span class="p">];</span>
<span class="n">my_array</span><span class="p">[</span><span class="n">index</span><span class="o">--</span><span class="p">]</span> <span class="o">=</span> <span class="n">temp</span><span class="p">;</span>
<span class="p">}</span>
</pre></div>
<h3 id="tracing">Tracing:</h3>
<ul>
<li>General Information:<ul>
<li>Times the loop runs: 3</li>
<li>Variables <span class="amp">&</span> their purpose: <em>size</em>: Self-explanatory; <em>temp</em>: Aids in swap operation; <em>x</em>: For loop counter. </li>
</ul>
</li>
<li>State of the variables at end of each loop:</li>
</ul>
<table>
<thead>
<tr>
<th>x Variable</th>
<th>temp Variable</th>
<th>my_array[] Contents</th>
<th>index Variable</th>
</tr>
</thead>
<tbody>
<tr>
<td>0;</td>
<td>1;</td>
<td>6,2,3,4,5,1</td>
<td>5</td>
</tr>
<tr>
<td>1;</td>
<td>2;</td>
<td>6,5,3,4,2,1</td>
<td>4</td>
</tr>
<tr>
<td>2;</td>
<td>3;</td>
<td>6,5,4,3,2,1</td>
<td>3</td>
</tr>
</tbody>
</table>
<ul>
<li>Final <span class="amp">&</span> initial state of the array:</li>
</ul>
<div class="highlight"><pre><span class="p">{</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">}</span> <span class="n">becomes</span> <span class="p">{</span><span class="mi">6</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">}</span>
</pre></div>
</div>
<!-- /.entry-content -->
</article>
</section>
</div>
<div class="col-sm-3" id="sidebar">
<aside>
<section class="well well-sm">
<ul class="list-group list-group-flush">
<li class="list-group-item"><h4><i class="fa fa-home fa-lg"></i><span class="icon-label">Social</span></h4>
<ul class="list-group" id="social">
<li class="list-group-item"><a href="https://www.facebook.com/profile.php?id=100001791786184"><i class="fa fa-facebook-square fa-lg"></i> facebook</a></li>
<li class="list-group-item"><a href="https://github.com/serch037"><i class="fa fa-github-square fa-lg"></i> github</a></li>
</ul>
</li>
<li class="list-group-item"><a href="./"><h4><i class="fa fa-tags fa-lg"></i><span class="icon-label">Tags</span></h4></a>
<ul class="list-group " id="tags">
</ul>
</li>
</ul>
</section>
</aside>
</div>
</div>
</div>
<footer>
<div class="container">
<hr>
<div class="row">
<div class="col-xs-10">© 2015 Sergio Ugalde Marcano
· Powered by <a href="https://github.com/DandyDev/pelican-bootstrap3" target="_blank">pelican-bootstrap3</a>,
<a href="http://docs.getpelican.com/" target="_blank">Pelican</a>,
<a href="http://getbootstrap.com" target="_blank">Bootstrap</a> </div>
<div class="col-xs-2"><p class="pull-right"><i class="fa fa-arrow-up"></i> <a href="#">Back to top</a></p></div>
</div>
</div>
</footer>
<script src="./theme/js/jquery.min.js"></script>
<!-- Include all compiled plugins (below), or include individual files as needed -->
<script src="./theme/js/bootstrap.min.js"></script>
<!-- Enable responsive features in IE8 with Respond.js (https://github.com/scottjehl/Respond) -->
<script src="./theme/js/respond.min.js"></script>
</body>
</html>