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cb1a09d0 1=head1 NAME
4633a7c4 2
19799a22 3perllol - Manipulating Arrays of Arrays in Perl
4633a7c4 4
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5=head1 DESCRIPTION
6
cea6626f 7=head2 Declaration and Access of Arrays of Arrays
4633a7c4 8
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9The simplest two-level data structure to build in Perl is an array of
10arrays, sometimes casually called a list of lists. It's reasonably easy to
11understand, and almost everything that applies here will also be applicable
12later on with the fancier data structures.
4633a7c4 13
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14An array of an array is just a regular old array @AoA that you can
15get at with two subscripts, like C<$AoA[3][2]>. Here's a declaration
16of the array:
4633a7c4 17
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18 use 5.010; # so we can use say()
19
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20 # assign to our array, an array of array references
21 @AoA = (
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22 [ "fred", "barney", "pebbles", "bambam", "dino", ],
23 [ "george", "jane", "elroy", "judy", ],
24 [ "homer", "bart", "marge", "maggie", ],
4633a7c4 25 );
21863e7e 26 say $AoA[2][1];
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27 bart
28
29Now you should be very careful that the outer bracket type
5a964f20 30is a round one, that is, a parenthesis. That's because you're assigning to
19799a22 31an @array, so you need parentheses. If you wanted there I<not> to be an @AoA,
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32but rather just a reference to it, you could do something more like this:
33
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34 # assign a reference to array of array references
35 $ref_to_AoA = [
4633a7c4 36 [ "fred", "barney", "pebbles", "bambam", "dino", ],
c2611fb3 37 [ "george", "jane", "elroy", "judy", ],
21863e7e 38 [ "homer", "bart", "marge", "maggie", ],
4633a7c4 39 ];
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40 say $ref_to_AoA->[2][1];
41 bart
4633a7c4 42
54310121 43Notice that the outer bracket type has changed, and so our access syntax
4633a7c4 44has also changed. That's because unlike C, in perl you can't freely
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45interchange arrays and references thereto. $ref_to_AoA is a reference to an
46array, whereas @AoA is an array proper. Likewise, C<$AoA[2]> is not an
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47array, but an array ref. So how come you can write these:
48
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49 $AoA[2][2]
50 $ref_to_AoA->[2][2]
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51
52instead of having to write these:
53
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54 $AoA[2]->[2]
55 $ref_to_AoA->[2]->[2]
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56
57Well, that's because the rule is that on adjacent brackets only (whether
1fef88e7 58square or curly), you are free to omit the pointer dereferencing arrow.
4d9142af 59But you cannot do so for the very first one if it's a scalar containing
19799a22 60a reference, which means that $ref_to_AoA always needs it.
4633a7c4 61
cea6626f 62=head2 Growing Your Own
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63
64That's all well and good for declaration of a fixed data structure,
65but what if you wanted to add new elements on the fly, or build
66it up entirely from scratch?
67
68First, let's look at reading it in from a file. This is something like
69adding a row at a time. We'll assume that there's a flat file in which
70each line is a row and each word an element. If you're trying to develop an
19799a22 71@AoA array containing all these, here's the right way to do that:
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72
73 while (<>) {
74 @tmp = split;
19799a22 75 push @AoA, [ @tmp ];
54310121 76 }
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77
78You might also have loaded that from a function:
79
80 for $i ( 1 .. 10 ) {
19799a22 81 $AoA[$i] = [ somefunc($i) ];
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82 }
83
84Or you might have had a temporary variable sitting around with the
19799a22 85array in it.
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86
87 for $i ( 1 .. 10 ) {
88 @tmp = somefunc($i);
19799a22 89 $AoA[$i] = [ @tmp ];
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90 }
91
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92It's important you make sure to use the C<[ ]> array reference
93constructor. That's because this wouldn't work:
4633a7c4 94
21863e7e 95 $AoA[$i] = @tmp; # WRONG!
4633a7c4 96
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97The reason that doesn't do what you want is because assigning a
98named array like that to a scalar is taking an array in scalar
99context, which means just counts the number of elements in @tmp.
4633a7c4 100
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101If you are running under C<use strict> (and if you aren't, why in
102the world aren't you?), you'll have to add some declarations to
103make it happy:
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104
105 use strict;
19799a22 106 my(@AoA, @tmp);
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107 while (<>) {
108 @tmp = split;
19799a22 109 push @AoA, [ @tmp ];
54310121 110 }
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111
112Of course, you don't need the temporary array to have a name at all:
113
114 while (<>) {
19799a22 115 push @AoA, [ split ];
54310121 116 }
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117
118You also don't have to use push(). You could just make a direct assignment
119if you knew where you wanted to put it:
120
19799a22 121 my (@AoA, $i, $line);
1fef88e7 122 for $i ( 0 .. 10 ) {
4633a7c4 123 $line = <>;
21863e7e 124 $AoA[$i] = [ split " ", $line ];
54310121 125 }
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126
127or even just
128
19799a22 129 my (@AoA, $i);
1fef88e7 130 for $i ( 0 .. 10 ) {
21863e7e 131 $AoA[$i] = [ split " ", <> ];
54310121 132 }
4633a7c4 133
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134You should in general be leery of using functions that could
135potentially return lists in scalar context without explicitly stating
136such. This would be clearer to the casual reader:
4633a7c4 137
19799a22 138 my (@AoA, $i);
1fef88e7 139 for $i ( 0 .. 10 ) {
21863e7e 140 $AoA[$i] = [ split " ", scalar(<>) ];
54310121 141 }
4633a7c4 142
19799a22 143If you wanted to have a $ref_to_AoA variable as a reference to an array,
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144you'd have to do something like this:
145
146 while (<>) {
19799a22 147 push @$ref_to_AoA, [ split ];
54310121 148 }
4633a7c4 149
5a964f20 150Now you can add new rows. What about adding new columns? If you're
5f05dabc 151dealing with just matrices, it's often easiest to use simple assignment:
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152
153 for $x (1 .. 10) {
154 for $y (1 .. 10) {
19799a22 155 $AoA[$x][$y] = func($x, $y);
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156 }
157 }
158
159 for $x ( 3, 7, 9 ) {
19799a22 160 $AoA[$x][20] += func2($x);
54310121 161 }
4633a7c4 162
54310121 163It doesn't matter whether those elements are already
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164there or not: it'll gladly create them for you, setting
165intervening elements to C<undef> as need be.
166
5f05dabc 167If you wanted just to append to a row, you'd have
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168to do something a bit funnier looking:
169
170 # add new columns to an existing row
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171 push @{ $AoA[0] }, "wilma", "betty"; # explicit deref
172
173Prior to Perl 5.14, this wouldn't even compile:
174
175 push $AoA[0], "wilma", "betty"; # implicit deref
176
e001c712 177How come? Because once upon a time, the argument to push() had to be a
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178real array, not just a reference to one. That's no longer true. In fact,
179the line marked "implicit deref" above works just fine--in this
180instance--to do what the one that says explicit deref did.
181
182The reason I said "in this instance" is because that I<only> works
183because C<$AoA[0]> already held an array reference. If you try that on an
184undefined variable, you'll take an exception. That's because the implicit
185derefererence will never autovivify an undefined variable the way C<@{ }>
186always will:
4633a7c4 187
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188 my $aref = undef;
189 push $aref, qw(some more values); # WRONG!
190 push @$aref, qw(a few more); # ok
4633a7c4 191
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192If you want to take advantage of this new implicit dereferencing behavior,
193go right ahead: it makes code easier on the eye and wrist. Just understand
194that older releases will choke on it during compilation. Whenever you make
195use of something that works only in some given release of Perl and later,
196but not earlier, you should place a prominent
4633a7c4 197
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198 use v5.14; # needed for implicit deref of array refs by array ops
199
200directive at the top of the file that needs it. That way when somebody
201tries to run the new code under an old perl, rather than getting an error like
202
203 Type of arg 1 to push must be array (not array element) at /tmp/a line 8, near ""betty";"
204 Execution of /tmp/a aborted due to compilation errors.
205
206they'll be politely informed that
207
208 Perl v5.14.0 required--this is only v5.12.3, stopped at /tmp/a line 1.
209 BEGIN failed--compilation aborted at /tmp/a line 1.
4633a7c4 210
cea6626f 211=head2 Access and Printing
4633a7c4 212
54310121 213Now it's time to print your data structure out. How
5f05dabc 214are you going to do that? Well, if you want only one
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215of the elements, it's trivial:
216
19799a22 217 print $AoA[0][0];
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218
219If you want to print the whole thing, though, you can't
5f05dabc 220say
4633a7c4 221
19799a22 222 print @AoA; # WRONG
4633a7c4 223
5f05dabc 224because you'll get just references listed, and perl will never
54310121 225automatically dereference things for you. Instead, you have to
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226roll yourself a loop or two. This prints the whole structure,
227using the shell-style for() construct to loop across the outer
54310121 228set of subscripts.
4633a7c4 229
19799a22 230 for $aref ( @AoA ) {
21863e7e 231 say "\t [ @$aref ],";
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232 }
233
234If you wanted to keep track of subscripts, you might do this:
235
19799a22 236 for $i ( 0 .. $#AoA ) {
21863e7e 237 say "\t elt $i is [ @{$AoA[$i]} ],";
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238 }
239
240or maybe even this. Notice the inner loop.
241
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242 for $i ( 0 .. $#AoA ) {
243 for $j ( 0 .. $#{$AoA[$i]} ) {
21863e7e 244 say "elt $i $j is $AoA[$i][$j]";
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245 }
246 }
247
54310121 248As you can see, it's getting a bit complicated. That's why
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249sometimes is easier to take a temporary on your way through:
250
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251 for $i ( 0 .. $#AoA ) {
252 $aref = $AoA[$i];
4633a7c4 253 for $j ( 0 .. $#{$aref} ) {
21863e7e 254 say "elt $i $j is $AoA[$i][$j]";
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255 }
256 }
257
5f05dabc 258Hmm... that's still a bit ugly. How about this:
4633a7c4 259
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260 for $i ( 0 .. $#AoA ) {
261 $aref = $AoA[$i];
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262 $n = @$aref - 1;
263 for $j ( 0 .. $n ) {
21863e7e 264 say "elt $i $j is $AoA[$i][$j]";
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265 }
266 }
267
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268When you get tired of writing a custom print for your data structures,
269you might look at the standard L<Dumpvalue> or L<Data::Dumper> modules.
270The former is what the Perl debugger uses, while the latter generates
271parsable Perl code. For example:
272
273 use v5.14; # using the + prototype, new to v5.14
274
275 sub show(+) {
276 require Dumpvalue;
277 state $prettily = new Dumpvalue::
278 tick => q("),
279 compactDump => 1, # comment these two lines out
280 veryCompact => 1, # if you want a bigger dump
281 ;
282 dumpValue $prettily @_;
283 }
284
285 # Assign a list of array references to an array.
286 my @AoA = (
287 [ "fred", "barney" ],
288 [ "george", "jane", "elroy" ],
289 [ "homer", "marge", "bart" ],
290 );
291 push $AoA[0], "wilma", "betty";
292 show @AoA;
293
294will print out:
295
296 0 0..3 "fred" "barney" "wilma" "betty"
297 1 0..2 "george" "jane" "elroy"
298 2 0..2 "homer" "marge" "bart"
299
300Whereas if you comment out the two lines I said you might wish to,
301then it shows it to you this way instead:
302
303 0 ARRAY(0x8031d0)
304 0 "fred"
305 1 "barney"
306 2 "wilma"
307 3 "betty"
308 1 ARRAY(0x803d40)
309 0 "george"
310 1 "jane"
311 2 "elroy"
312 2 ARRAY(0x803e10)
313 0 "homer"
314 1 "marge"
315 2 "bart"
316
cea6626f 317=head2 Slices
4633a7c4 318
4d9142af 319If you want to get at a slice (part of a row) in a multidimensional
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320array, you're going to have to do some fancy subscripting. That's
321because while we have a nice synonym for single elements via the
322pointer arrow for dereferencing, no such convenience exists for slices.
4633a7c4 323
19799a22 324Here's how to do one operation using a loop. We'll assume an @AoA
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325variable as before.
326
327 @part = ();
54310121 328 $x = 4;
4633a7c4 329 for ($y = 7; $y < 13; $y++) {
19799a22 330 push @part, $AoA[$x][$y];
54310121 331 }
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332
333That same loop could be replaced with a slice operation:
334
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335 @part = @{$AoA[4]}[7..12];
336
337or spaced out a bit:
338
19799a22 339 @part = @{ $AoA[4] } [ 7..12 ];
4633a7c4 340
21863e7e 341But as you might well imagine, this can get pretty rough on the reader.
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342
343Ah, but what if you wanted a I<two-dimensional slice>, such as having
5f05dabc 344$x run from 4..8 and $y run from 7 to 12? Hmm... here's the simple way:
4633a7c4 345
19799a22 346 @newAoA = ();
4633a7c4 347 for ($startx = $x = 4; $x <= 8; $x++) {
3e3baf6d 348 for ($starty = $y = 7; $y <= 12; $y++) {
19799a22 349 $newAoA[$x - $startx][$y - $starty] = $AoA[$x][$y];
4633a7c4 350 }
54310121 351 }
4633a7c4 352
54310121 353We can reduce some of the looping through slices
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354
355 for ($x = 4; $x <= 8; $x++) {
19799a22 356 push @newAoA, [ @{ $AoA[$x] } [ 7..12 ] ];
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357 }
358
359If you were into Schwartzian Transforms, you would probably
360have selected map for that
361
19799a22 362 @newAoA = map { [ @{ $AoA[$_] } [ 7..12 ] ] } 4 .. 8;
4633a7c4 363
384f06ae 364Although if your manager accused you of seeking job security (or rapid
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365insecurity) through inscrutable code, it would be hard to argue. :-)
366If I were you, I'd put that in a function:
367
19799a22 368 @newAoA = splice_2D( \@AoA, 4 => 8, 7 => 12 );
4633a7c4 369 sub splice_2D {
19799a22 370 my $lrr = shift; # ref to array of array refs!
54310121 371 my ($x_lo, $x_hi,
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372 $y_lo, $y_hi) = @_;
373
54310121 374 return map {
375 [ @{ $lrr->[$_] } [ $y_lo .. $y_hi ] ]
4633a7c4 376 } $x_lo .. $x_hi;
54310121 377 }
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378
379
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380=head1 SEE ALSO
381
ba555bf5 382L<perldata>, L<perlref>, L<perldsc>
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383
384=head1 AUTHOR
385
9607fc9c 386Tom Christiansen <F<tchrist@perl.com>>
4633a7c4 387
21863e7e 388Last update: Tue Apr 26 18:30:55 MDT 2011