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
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% clrscode3e.sty
% See the document "Using the clrscode3e Package in LaTeX 2e" for
% examples.
% Package for producing pseudocode in the style of Cormen, Leiserson,
% Rivest, and Stein, Introduction to Algorithms, Third edition.
% LIMITATION: This package works only if each procedure has at most 99
% numbered lines of code.
% Each pseudocode procedure is typeset within a codebox environment,
% \begin{codebox}...\end{codebox}.
% Normally, the first line within the codebox environment is a \Procname
% command. The argument of the \Procname command is a math-mode
% expression consisting of the procedure name and its parameters. The
% name of the procedure itself goes within a \proc command. Example:
% \Procname{$\proc{Matrix-Multiply}(A,B)$}
% The \Procname command is optional.
% To typeset the name of a procedure (e.g., Matrix-Multiply) in small
% caps, use the \proc command:
% \proc{Matrix-Multiply}
% To typeset the name of a constant (e.g., nil) in small caps, use the
% \const command:
% \const{nil}
% To typeset the name of an identifier (e.g., rank) in regular italics,
% use the \id command:
% \id{rank}
% To typeset the name of a fixed function (e.g., sin) in roman, use the
% \func command:
% \func{sin}
% (Note that several fixed functions, like sin, are already built into
% LaTeX.)
% The \proc, \const, \id, and \func commands not only use the correct
% font, they also perform the important service of interpreting a dash
% as a hyphen, rather than as a minus sign. These commands may be used
% either in or out of math mode.
% For attributes, use the various forms of the \attrib commands.
% Other than the \Procname line, all lines begin with either \li (for a
% numbered line) or \zi (for an unnumbered line). The following
% commands are provided for typesetting keywords and handling automatic
% indentation:
% Loops: \For, \To, \By, \Downto, \Do, \While, \Repeat, \Until
% Selection: \If, \Then, \Else, \ElseIf, \ElseNoIf
% Jumps: \Return, \Error, \Goto
% Multithreading: \Spawn, \Sync, \Parfor
% Comments: \Comment, \RComment, \CommentSymbol
% Indentation: \Indentmore, \Startalign, \Stopalign
% \label commands appearing in or after the first numbered line in a
% codebox resolve to the number of the most recent numbered line.
% \twodots produces the ".." notation used for subarrays.
% Written for general distribution by Thomas H. Cormen, March 2009.
% The author grants permission for anyone to use this macro package and
% to distribute it unchanged without further restriction. If you choose
% to modify this package, you must indicate that you have modified it
% prior to your distributing it. I don't want to get bug reports about
% changes that *you* have made!
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ProvidesPackage{clrscode3e}
\RequirePackage{graphics} % needed for \scalebox command
% The \useregularv command is because we used a different lowercase v
% in math mode in the book. Most users of the clrscode3e package will
% use the standard lowercase v in math mode, and so the \useregularv
% command is a no-op for them.
\ifdefined\useregularv\else\newcommand{\useregularv}{}\fi
% Commands for typesetting constants, procedure names, identifiers, and
% fixed functions.
\newcommand{\const}[1]{\textnormal{\scshape#1}}
\newcommand{\proc}[1]{\textnormal{\scshape#1}}
\newcommand{\text@hyphens}{\mathcode`\-=`\-\relax}
\newcommand{\func}[1]{%
\ensuremath{{\useregularv\mathop{\text@hyphens\operator@font#1}\nolimits}}}
\newcommand{\id}[1]{%
\ensuremath{\mathit{\text@hyphens#1}}}
% Commands for typesetting object attributes. All of these commands
% may be used either in or out of math mode.
% Definitions:
% An i-string is a string that you would use in an \id command,
% typically one or more non-Greek letters, numerals, or dashes.
% An x-string is a string that you would not use in an \id command,
% typically because it has a subscript or one or more Greek letters.
% A single non-Greek letter can be either an i-string or an x-string.
% Most of the time, we use the \attrib command, which assumes that its
% first argument, the object name, is an x-string and its second
% argument, the attribute name, is an i-string. Examples of the
% \attrib command: \attrib{A}{length}, \attrib{x}{next},
% \attrib{\rho}{next-item}. \attrib is just a direct call to the
% \attribxi macro.
% The four macros \attribxi, \attribxx, \attribix, and \attribii each
% take two arguments. The two letters at the end of the macro name
% determine, in order, how each argument is treated. x indicates that
% the argument should be an x-string, and i indicates that the
% argument should be an i-string.
% Because we use a single letter to indicate most objects and a string
% of one or more letters to indicate most attribute names, \attribxi
% is the most common macro we use. That's why \attrib is just a
% direct call to \attribxi.
% Use \attribxx when the object name is an x-string and the object
% name is also an x-string, for example, when the attribute name has a
% subscript: \attribxx{x}{c_i} or \attrib{x}{\id{key}_i}. Another
% time you would use \attribxx is when the attribute name is a Greek
% letter: \attrib{v}{\pi}.
% When the object name has more than one letter, it is usually an
% i-string. In this case, use \attribii or \attribix, depending on
% the attribute name: \attribii{item}{key}, \attribii{prev-item}{np},
% \attribix{item}{\pi}.
% The \attribb, \attribbb, \attribbbb, and \attribbxxi macros are for
% cascading attributes. They just call the appropriate \attribxi and
% \attribxx commands. For one level of cascading, use \attribb:
% \attribb{x}{left}{size}. For two levels, use \attribbb:
% \attribbb{y}{p}{left}{size}. For three levels, use \attribbbb (but
% no examples in the book use this macro). The \attribbxxi macro is
% for one level of cascading where the first attribute given is an
% x-string: \attribbxxi{x}{c_i}{n}.
% When the object is an edge of a graph, specified by two vertices,
% use \attribe or \attribex: \attribe{u}{v}{f}, \attribex{u}{v}{c'}.
\newcommand{\attribxi}[2]{\ensuremath{#1.\hspace*{1pt}\id{#2}}}
\newcommand{\attribxx}[2]{\ensuremath{#1.\hspace*{1pt}#2}}
\newcommand{\attribix}[2]{\ensuremath{\id{#1}\hspace*{1pt}.#2}}
\newcommand{\attribii}[2]{\ensuremath{\id{#1}\hspace*{1pt}.\hspace*{1pt}\id{#2}}}
\newcommand{\attrib}[2]{\attribxi{#1}{#2}}
\newcommand{\attribe}[3]{\attribxi{(#1,#2)}{#3}}
\newcommand{\attribex}[3]{\attribxx{(#1,#2)}{#3}}
\newcommand{\attribb}[3]{\attribxi{\attribxi{#1}{#2}}{#3}}
\newcommand{\attribbb}[4]{\attribxi{\attribb{#1}{#2}{#3}}{#4}}
\newcommand{\attribbbb}[5]{\attribxi{\attribbb{#1}{#2}{#3}{#4}}{#5}}
\newcommand{\attribbxxi}[3]{\attribxi{\attribxx{#1}{#2}}{#3}}
% Command for typesetting subarray ranges.
\newcommand{\twodots}{\mathinner{\ldotp\ldotp}}
% The codelinenumber counter counts the current line number.
\newcounter{codelinenumber}
% The indent counter keeps track of the current indentation level.
\newcounter{indent}
% The \iffirstcodeline command tells us whether we are about to
% produce the first line other than the procedure declaration.
\newif\iffirstcodeline\firstcodelinetrue
% The \zeroli command makes it so that we're about to produce the
% first line other than the procedure declaration.
\newcommand{\zeroli}{\setcounter{codelinenumber}{0}%
\setcounter{indent}{0}%
\firstcodelinetrue}
% \digitwidth gives the width of a single digit. All digits are the
% same width. We'll need this amount to do the right thing for line
% numbers.
\newlength{\digitwidth}
\settowidth{\digitwidth}{0}
% The \li command bumps the counter, outputs it, and skips some space
% A \label cmd for a given numbered line is allowed to appear after the
% \\, as in
% \li $x\gets y$ \label{li:assign-x}
% But if \li merely set \@currentlabel in the usual way via
% \refstepcounter, the value of \@currentlabel does not persist outside
% the current cell. Solution: use an additional, global variable
% \@lilabel.
% THC: This next command is magic to me. I didn't write it.
\def\@startline{\global\@curtabmar\@nxttabmar\relax
\global\@curtab\@curtabmar\setbox\@curline\hbox
{}\@startfield\strut}
% \code@init is run at the beginning of a codebox environment.
\def\code@init{%
\zeroli% producing the first line
\setlength{\tabbingsep}{1em}% distance between numbers and code
% Initialize \@lilabel to allow a pageref \label cmd at the beginning
% of the codebox
\global\let\@lilabel\@currentlabel
\def\@currentlabel{\@lilabel}%
}
% When we make a codebox, we save the code part into a box before
% printing it. We do not actually print the code until we know how many
% line numbers there are.
\newsavebox{\savecode}
% The \ifprocname command tells us whether this procedure has been
% given a name yet.
\newif\ifprocname\procnamefalse
% Assume that the width of the codebox is the width of the text, minus
% the width of 2 digits. We'll correct for that later.
\newlength{\codeboxwidth}
\setlength{\codeboxwidth}{\linewidth} % Thanks, David Etherington!
\addtolength{\codeboxwidth}{-2\digitwidth}
% The "codebox" environment produces an unbreakable section of code
\newenvironment{codebox}{%
\global\procnamefalse% this proc hasn't been given a name yet
\code@init% set up for first line
\begin{lrbox}{\savecode}% save the code into a box
\begin{minipage}[t]{\codeboxwidth}% it'll be a minipage
% Set up the tab stops
\def\codeindent{\textbf{else} }%
\begin{tabbing}%
99\=\codeindent\=\codeindent\=\codeindent\=\codeindent\=\codeindent\=\codeindent\=\codeindent\=codeindent\=codeindent\=\+\kill%
}{%
% Here's what's run at the end of a codebox environment. Start by
% making sure that we have ended at indent level 0. Otherwise, print a
% warning.
\ifnum\value{indent}=0\else\typeout{Warning: Indentation ends at level \theindent\space in codebox on page \thepage.}\fi%
\end{tabbing}\end{minipage}\end{lrbox}%
\addtolength{\topsep}{0.5ex}% for the following trivlist
\begin{trivlist}\item\parindent=0pt%
% If there was a procedure name given, print it now but with a little
% space below, and disallow a page break after the procedure name.
\@nobreaktrue%
\ifprocname\saveprocname\rule[-1.25ex]{0pt}{0pt}\\ \fi%
% Put in the right amount of space, depending on whether we reached
% double digits in the line numbers.
\ifnum\value{codelinenumber}>9\hspace*{2\digitwidth}\else\hspace*{1\digitwidth}\fi%
% Now print the code
\usebox{\savecode}\end{trivlist}%
\addtolength{\topsep}{-0.5ex}\global\procnamefalse}
% Use the \Procname macro to give the name of the procedure.
\newcommand{\Procname}[1]{\global\def\saveprocname{#1}\global\procnametrue}
\newcounter{thisindent} % counter for recursive indenting code
\newcommand{\Indent}{\setcounter{thisindent}{\value{indent}}\putindents}
% \putindents is a recursive macro that indents a number of times given
% by the counter thisindent.
\newcommand{\putindents}{\ifnum\value{thisindent}>0\>\addtocounter{thisindent}{-1}\putindents\fi}
% For typesetting any keyword in the main text.
\newcommand{\kw}[1]{\textbf{#1}}
% Override the 'gets' symbol.
\def\gets{\mathrel{\hspace{1pt}=\hspace{1pt}}}
\newcommand{\isequal}{\mathrel{\scalebox{0.8}[1]{=}\hspace*{1pt}\scalebox{0.8}[1]{=}}}
% All of our favorite keywords.
\newcommand{\For}{\textbf{for} }
\newcommand{\To}{\ifmmode\ \textrm{\textbf{to}}\ \else\textbf{to}\ \fi}
\newcommand{\By}{\ifmmode\ \textrm{\textbf{by}}\ \else\textbf{by}\ \fi}
\newcommand{\Downto}{\ifmmode\ \textrm{\textbf{downto}}\ \else\textbf{downto}\ \fi}
\newcommand{\While}{\textbf{while} }
\newcommand{\Repeat}{\textbf{repeat}\>\addtocounter{indent}{1}}
\newcommand{\Until}{\kill\addtocounter{indent}{-1}\liprint\textbf{until} }
\newcommand{\If}{\textbf{if} }
\newcommand{\Then}{\>\addtocounter{indent}{1}}
\newcommand{\Else}{\kill\addtocounter{indent}{-1}\liprint\textbf{else}\>\addtocounter{indent}{1}}
\newcommand{\End}{\addtocounter{indent}{-1}}
\newcommand{\ElseIf}{\kill\addtocounter{indent}{-1}\liprint\textbf{elseif} }
\newcommand{\ElseNoIf}{\kill\addtocounter{indent}{-1}\liprint\textbf{else} \addtocounter{indent}{1}}
\newcommand{\Do}{\>\addtocounter{indent}{1}}
\newcommand{\Return}{\textbf{return} }
\newcommand{\CommentSymbol}{\texttt{\textbf{/\hspace*{-0.3em}/}}}
\newcommand{\Comment}{\CommentSymbol\ }
\newcommand{\RComment}{\`\CommentSymbol\ }
\newcommand{\Goto}{\textbf{goto} }
\newcommand{\Error}{\textbf{error} } % optionally followed by string argument
\newcommand{\EndTest}{\textbf{:}}
\newcommand{\Spawn}{\ifmmode\textbf{spawn}\ \else\textbf{spawn} \fi}
\newcommand{\Sync}{\textbf{sync}}
\newcommand{\Parfor}{\textbf{parallel for} }
% Indent the next line one level more
\newcommand{\Indentmore}{\addtocounter{indent}{1}}
\newif\ifnumberedline
\numberedlinetrue
% The \li command starts a new numbered line.
\newcommand{\li}{\global\numberedlinetrue%
\iffirstcodeline\global\firstcodelinefalse\else\\ \fi
\stepcounter{codelinenumber}%
\liprint}
% The \lispace command starts a new numbered line with a little extra
% space above, given by the argument.
\newcommand{\lispace}[1]{\iffirstcodeline\global\firstcodelinefalse\else\\[#1] \fi
\stepcounter{codelinenumber}%
\liprint}
% \liprint actually prints the line number and sets up the indentation.
\newcommand{\liprint}{\protected@xdef\@lilabel{\thecodelinenumber}%
\ifnumberedline\thecodelinenumber\fi\'\Indent%
}
\providecommand{\numref}[1]{%
\@ifundefined{r@#1}{000}{%
\expandafter\expandafter\expandafter\@firstoftwo
\csname r@#1\endcsname
}%
}
% \setlinenumber sets the line number to its argument
\newcommand{\setlinenumber}[1]{\setcounter{codelinenumber}{\numref{#1}}%
\addtocounter{codelinenumber}{-1}}
% \setlinenumberplus sets the line number to its first argument plus its
% second argument.
\newcommand{\setlinenumberplus}[2]{\setcounter{codelinenumber}{\numref{#1}}%
\addtocounter{codelinenumber}{-1}\addtocounter{codelinenumber}{#2}}
% The \zi command starts a new unnumbered line.
\newcommand{\zi}{\global\numberedlinefalse%
\iffirstcodeline\global\firstcodelinefalse\else\\ \fi
\liprint}
% Temporarily make all lines indented so that they start at the end of
% a given text.
\newcommand{\Startalign}[1]{\\ \pushtabs\FakeIndent#1\=\kill}
\newcommand{\Stopalign}{\poptabs}
\newcommand{\FakeIndent}{\setcounter{thisindent}{\value{indent}}\putfakeindents}
\newcommand{\putfakeindents}{\ifnum\value{thisindent}>0\textbf{else }\addtocounter{thisindent}{-1}\putfakeindents\fi}
\endinput
|