2 @c This is part of the GNU Emacs Lisp Reference Manual.
3 @c Copyright (C) 1990, 1991, 1992, 1993, 1994, 1995, 1998, 1999, 2001,
4 @c 2002, 2003, 2004, 2005, 2006, 2007 Free Software Foundation, Inc.
5 @c See the file elisp.texi for copying conditions.
6 @setfilename ../info/sequences
7 @node Sequences Arrays Vectors, Hash Tables, Lists, Top
8 @chapter Sequences, Arrays, and Vectors
11 Recall that the @dfn{sequence} type is the union of two other Lisp
12 types: lists and arrays. In other words, any list is a sequence, and
13 any array is a sequence. The common property that all sequences have is
14 that each is an ordered collection of elements.
16 An @dfn{array} is a single primitive object that has a slot for each
17 of its elements. All the elements are accessible in constant time, but
18 the length of an existing array cannot be changed. Strings, vectors,
19 char-tables and bool-vectors are the four types of arrays.
21 A list is a sequence of elements, but it is not a single primitive
22 object; it is made of cons cells, one cell per element. Finding the
23 @var{n}th element requires looking through @var{n} cons cells, so
24 elements farther from the beginning of the list take longer to access.
25 But it is possible to add elements to the list, or remove elements.
27 The following diagram shows the relationship between these types:
31 _____________________________________________
34 | ______ ________________________________ |
36 | | List | | Array | |
37 | | | | ________ ________ | |
38 | |______| | | | | | | |
39 | | | Vector | | String | | |
40 | | |________| |________| | |
41 | | ____________ _____________ | |
43 | | | Char-table | | Bool-vector | | |
44 | | |____________| |_____________| | |
45 | |________________________________| |
46 |_____________________________________________|
50 The elements of vectors and lists may be any Lisp objects. The
51 elements of strings are all characters.
54 * Sequence Functions:: Functions that accept any kind of sequence.
55 * Arrays:: Characteristics of arrays in Emacs Lisp.
56 * Array Functions:: Functions specifically for arrays.
57 * Vectors:: Special characteristics of Emacs Lisp vectors.
58 * Vector Functions:: Functions specifically for vectors.
59 * Char-Tables:: How to work with char-tables.
60 * Bool-Vectors:: How to work with bool-vectors.
63 @node Sequence Functions
66 In Emacs Lisp, a @dfn{sequence} is either a list or an array. The
67 common property of all sequences is that they are ordered collections of
68 elements. This section describes functions that accept any kind of
71 @defun sequencep object
72 Returns @code{t} if @var{object} is a list, vector, string,
73 bool-vector, or char-table, @code{nil} otherwise.
76 @defun length sequence
80 @cindex sequence length
81 @cindex char-table length
82 This function returns the number of elements in @var{sequence}. If
83 @var{sequence} is a dotted list, a @code{wrong-type-argument} error is
84 signaled. Circular lists may cause an infinite loop. For a
85 char-table, the value returned is always one more than the maximum
88 @xref{Definition of safe-length}, for the related function @code{safe-length}.
108 (length (make-bool-vector 5 nil))
115 See also @code{string-bytes}, in @ref{Text Representations}.
117 @defun elt sequence index
118 @cindex elements of sequences
119 This function returns the element of @var{sequence} indexed by
120 @var{index}. Legitimate values of @var{index} are integers ranging
121 from 0 up to one less than the length of @var{sequence}. If
122 @var{sequence} is a list, out-of-range values behave as for
123 @code{nth}. @xref{Definition of nth}. Otherwise, out-of-range values
124 trigger an @code{args-out-of-range} error.
136 ;; @r{We use @code{string} to show clearly which character @code{elt} returns.}
137 (string (elt "1234" 2))
142 @error{} Args out of range: [1 2 3 4], 4
146 @error{} Args out of range: [1 2 3 4], -1
150 This function generalizes @code{aref} (@pxref{Array Functions}) and
151 @code{nth} (@pxref{Definition of nth}).
154 @defun copy-sequence sequence
155 @cindex copying sequences
156 Returns a copy of @var{sequence}. The copy is the same type of object
157 as the original sequence, and it has the same elements in the same order.
159 Storing a new element into the copy does not affect the original
160 @var{sequence}, and vice versa. However, the elements of the new
161 sequence are not copies; they are identical (@code{eq}) to the elements
162 of the original. Therefore, changes made within these elements, as
163 found via the copied sequence, are also visible in the original
166 If the sequence is a string with text properties, the property list in
167 the copy is itself a copy, not shared with the original's property
168 list. However, the actual values of the properties are shared.
169 @xref{Text Properties}.
171 This function does not work for dotted lists. Trying to copy a
172 circular list may cause an infinite loop.
174 See also @code{append} in @ref{Building Lists}, @code{concat} in
175 @ref{Creating Strings}, and @code{vconcat} in @ref{Vector Functions},
176 for other ways to copy sequences.
184 (setq x (vector 'foo bar))
185 @result{} [foo (1 2)]
188 (setq y (copy-sequence x))
189 @result{} [foo (1 2)]
201 (eq (elt x 1) (elt y 1))
206 ;; @r{Replacing an element of one sequence.}
208 x @result{} [quux (1 2)]
209 y @result{} [foo (1 2)]
213 ;; @r{Modifying the inside of a shared element.}
214 (setcar (aref x 1) 69)
215 x @result{} [quux (69 2)]
216 y @result{} [foo (69 2)]
225 An @dfn{array} object has slots that hold a number of other Lisp
226 objects, called the elements of the array. Any element of an array may
227 be accessed in constant time. In contrast, an element of a list
228 requires access time that is proportional to the position of the element
231 Emacs defines four types of array, all one-dimensional: @dfn{strings},
232 @dfn{vectors}, @dfn{bool-vectors} and @dfn{char-tables}. A vector is a
233 general array; its elements can be any Lisp objects. A string is a
234 specialized array; its elements must be characters. Each type of array
235 has its own read syntax.
236 @xref{String Type}, and @ref{Vector Type}.
238 All four kinds of array share these characteristics:
242 The first element of an array has index zero, the second element has
243 index 1, and so on. This is called @dfn{zero-origin} indexing. For
244 example, an array of four elements has indices 0, 1, 2, @w{and 3}.
247 The length of the array is fixed once you create it; you cannot
248 change the length of an existing array.
251 For purposes of evaluation, the array is a constant---in other words,
252 it evaluates to itself.
255 The elements of an array may be referenced or changed with the functions
256 @code{aref} and @code{aset}, respectively (@pxref{Array Functions}).
259 When you create an array, other than a char-table, you must specify
260 its length. You cannot specify the length of a char-table, because that
261 is determined by the range of character codes.
263 In principle, if you want an array of text characters, you could use
264 either a string or a vector. In practice, we always choose strings for
265 such applications, for four reasons:
269 They occupy one-fourth the space of a vector of the same elements.
272 Strings are printed in a way that shows the contents more clearly
276 Strings can hold text properties. @xref{Text Properties}.
279 Many of the specialized editing and I/O facilities of Emacs accept only
280 strings. For example, you cannot insert a vector of characters into a
281 buffer the way you can insert a string. @xref{Strings and Characters}.
284 By contrast, for an array of keyboard input characters (such as a key
285 sequence), a vector may be necessary, because many keyboard input
286 characters are outside the range that will fit in a string. @xref{Key
289 @node Array Functions
290 @section Functions that Operate on Arrays
292 In this section, we describe the functions that accept all types of
296 This function returns @code{t} if @var{object} is an array (i.e., a
297 vector, a string, a bool-vector or a char-table).
305 (arrayp (syntax-table)) ;; @r{A char-table.}
311 @defun aref array index
312 @cindex array elements
313 This function returns the @var{index}th element of @var{array}. The
314 first element is at index zero.
318 (setq primes [2 3 5 7 11 13])
319 @result{} [2 3 5 7 11 13]
325 @result{} 98 ; @r{@samp{b} is @acronym{ASCII} code 98.}
329 See also the function @code{elt}, in @ref{Sequence Functions}.
332 @defun aset array index object
333 This function sets the @var{index}th element of @var{array} to be
334 @var{object}. It returns @var{object}.
338 (setq w [foo bar baz])
339 @result{} [foo bar baz]
343 @result{} [fu bar baz]
356 If @var{array} is a string and @var{object} is not a character, a
357 @code{wrong-type-argument} error results. The function converts a
358 unibyte string to multibyte if necessary to insert a character.
361 @defun fillarray array object
362 This function fills the array @var{array} with @var{object}, so that
363 each element of @var{array} is @var{object}. It returns @var{array}.
367 (setq a [a b c d e f g])
368 @result{} [a b c d e f g]
370 @result{} [0 0 0 0 0 0 0]
372 @result{} [0 0 0 0 0 0 0]
375 (setq s "When in the course")
376 @result{} "When in the course"
378 @result{} "------------------"
382 If @var{array} is a string and @var{object} is not a character, a
383 @code{wrong-type-argument} error results.
386 The general sequence functions @code{copy-sequence} and @code{length}
387 are often useful for objects known to be arrays. @xref{Sequence Functions}.
391 @cindex vector (type)
393 Arrays in Lisp, like arrays in most languages, are blocks of memory
394 whose elements can be accessed in constant time. A @dfn{vector} is a
395 general-purpose array of specified length; its elements can be any Lisp
396 objects. (By contrast, a string can hold only characters as elements.)
397 Vectors in Emacs are used for obarrays (vectors of symbols), and as part
398 of keymaps (vectors of commands). They are also used internally as part
399 of the representation of a byte-compiled function; if you print such a
400 function, you will see a vector in it.
402 In Emacs Lisp, the indices of the elements of a vector start from zero
403 and count up from there.
405 Vectors are printed with square brackets surrounding the elements.
406 Thus, a vector whose elements are the symbols @code{a}, @code{b} and
407 @code{a} is printed as @code{[a b a]}. You can write vectors in the
408 same way in Lisp input.
410 A vector, like a string or a number, is considered a constant for
411 evaluation: the result of evaluating it is the same vector. This does
412 not evaluate or even examine the elements of the vector.
413 @xref{Self-Evaluating Forms}.
415 Here are examples illustrating these principles:
419 (setq avector [1 two '(three) "four" [five]])
420 @result{} [1 two (quote (three)) "four" [five]]
422 @result{} [1 two (quote (three)) "four" [five]]
423 (eq avector (eval avector))
428 @node Vector Functions
429 @section Functions for Vectors
431 Here are some functions that relate to vectors:
433 @defun vectorp object
434 This function returns @code{t} if @var{object} is a vector.
446 @defun vector &rest objects
447 This function creates and returns a vector whose elements are the
448 arguments, @var{objects}.
452 (vector 'foo 23 [bar baz] "rats")
453 @result{} [foo 23 [bar baz] "rats"]
460 @defun make-vector length object
461 This function returns a new vector consisting of @var{length} elements,
462 each initialized to @var{object}.
466 (setq sleepy (make-vector 9 'Z))
467 @result{} [Z Z Z Z Z Z Z Z Z]
472 @defun vconcat &rest sequences
473 @cindex copying vectors
474 This function returns a new vector containing all the elements of the
475 @var{sequences}. The arguments @var{sequences} may be true lists,
476 vectors, strings or bool-vectors. If no @var{sequences} are given, an
477 empty vector is returned.
479 The value is a newly constructed vector that is not @code{eq} to any
484 (setq a (vconcat '(A B C) '(D E F)))
485 @result{} [A B C D E F]
492 (vconcat [A B C] "aa" '(foo (6 7)))
493 @result{} [A B C 97 97 foo (6 7)]
497 The @code{vconcat} function also allows byte-code function objects as
498 arguments. This is a special feature to make it easy to access the entire
499 contents of a byte-code function object. @xref{Byte-Code Objects}.
501 In Emacs versions before 21, the @code{vconcat} function allowed
502 integers as arguments, converting them to strings of digits, but that
503 feature has been eliminated. The proper way to convert an integer to
504 a decimal number in this way is with @code{format} (@pxref{Formatting
505 Strings}) or @code{number-to-string} (@pxref{String Conversion}).
507 For other concatenation functions, see @code{mapconcat} in @ref{Mapping
508 Functions}, @code{concat} in @ref{Creating Strings}, and @code{append}
509 in @ref{Building Lists}.
512 The @code{append} function also provides a way to convert a vector into a
513 list with the same elements:
517 (setq avector [1 two (quote (three)) "four" [five]])
518 @result{} [1 two (quote (three)) "four" [five]]
520 @result{} (1 two (quote (three)) "four" [five])
527 @cindex extra slots of char-table
529 A char-table is much like a vector, except that it is indexed by
530 character codes. Any valid character code, without modifiers, can be
531 used as an index in a char-table. You can access a char-table's
532 elements with @code{aref} and @code{aset}, as with any array. In
533 addition, a char-table can have @dfn{extra slots} to hold additional
534 data not associated with particular character codes. Char-tables are
535 constants when evaluated.
537 @cindex subtype of char-table
538 Each char-table has a @dfn{subtype} which is a symbol. The subtype
539 has two purposes: to distinguish char-tables meant for different uses,
540 and to control the number of extra slots. For example, display tables
541 are char-tables with @code{display-table} as the subtype, and syntax
542 tables are char-tables with @code{syntax-table} as the subtype. A valid
543 subtype must have a @code{char-table-extra-slots} property which is an
544 integer between 0 and 10. This integer specifies the number of
545 @dfn{extra slots} in the char-table.
547 @cindex parent of char-table
548 A char-table can have a @dfn{parent}, which is another char-table. If
549 it does, then whenever the char-table specifies @code{nil} for a
550 particular character @var{c}, it inherits the value specified in the
551 parent. In other words, @code{(aref @var{char-table} @var{c})} returns
552 the value from the parent of @var{char-table} if @var{char-table} itself
553 specifies @code{nil}.
555 @cindex default value of char-table
556 A char-table can also have a @dfn{default value}. If so, then
557 @code{(aref @var{char-table} @var{c})} returns the default value
558 whenever the char-table does not specify any other non-@code{nil} value.
560 @defun make-char-table subtype &optional init
561 Return a newly created char-table, with subtype @var{subtype}. Each
562 element is initialized to @var{init}, which defaults to @code{nil}. You
563 cannot alter the subtype of a char-table after the char-table is
566 There is no argument to specify the length of the char-table, because
567 all char-tables have room for any valid character code as an index.
570 @defun char-table-p object
571 This function returns @code{t} if @var{object} is a char-table,
572 otherwise @code{nil}.
575 @defun char-table-subtype char-table
576 This function returns the subtype symbol of @var{char-table}.
579 @defun set-char-table-default char-table char new-default
580 This function sets the default value of generic character @var{char}
581 in @var{char-table} to @var{new-default}.
583 There is no special function to access default values in a char-table.
584 To do that, use @code{char-table-range} (see below).
587 @defun char-table-parent char-table
588 This function returns the parent of @var{char-table}. The parent is
589 always either @code{nil} or another char-table.
592 @defun set-char-table-parent char-table new-parent
593 This function sets the parent of @var{char-table} to @var{new-parent}.
596 @defun char-table-extra-slot char-table n
597 This function returns the contents of extra slot @var{n} of
598 @var{char-table}. The number of extra slots in a char-table is
599 determined by its subtype.
602 @defun set-char-table-extra-slot char-table n value
603 This function stores @var{value} in extra slot @var{n} of
607 A char-table can specify an element value for a single character code;
608 it can also specify a value for an entire character set.
610 @defun char-table-range char-table range
611 This returns the value specified in @var{char-table} for a range of
612 characters @var{range}. Here are the possibilities for @var{range}:
616 Refers to the default value.
619 Refers to the element for character @var{char}
620 (supposing @var{char} is a valid character code).
623 Refers to the value specified for the whole character set
624 @var{charset} (@pxref{Character Sets}).
626 @item @var{generic-char}
627 A generic character stands for a character set, or a row of a
628 character set; specifying the generic character as argument is
629 equivalent to specifying the character set name. @xref{Splitting
630 Characters}, for a description of generic characters.
634 @defun set-char-table-range char-table range value
635 This function sets the value in @var{char-table} for a range of
636 characters @var{range}. Here are the possibilities for @var{range}:
640 Refers to the default value.
643 Refers to the whole range of character codes.
646 Refers to the element for character @var{char}
647 (supposing @var{char} is a valid character code).
650 Refers to the value specified for the whole character set
651 @var{charset} (@pxref{Character Sets}).
653 @item @var{generic-char}
654 A generic character stands for a character set; specifying the generic
655 character as argument is equivalent to specifying the character set
656 name. @xref{Splitting Characters}, for a description of generic characters.
660 @defun map-char-table function char-table
661 This function calls @var{function} for each element of @var{char-table}.
662 @var{function} is called with two arguments, a key and a value. The key
663 is a possible @var{range} argument for @code{char-table-range}---either
664 a valid character or a generic character---and the value is
665 @code{(char-table-range @var{char-table} @var{key})}.
667 Overall, the key-value pairs passed to @var{function} describe all the
668 values stored in @var{char-table}.
670 The return value is always @code{nil}; to make this function useful,
671 @var{function} should have side effects. For example,
672 here is how to examine each element of the syntax table:
677 #'(lambda (key value)
679 (cons (list key value) accumulator)))
683 ((475008 nil) (474880 nil) (474752 nil) (474624 nil)
684 ... (5 (3)) (4 (3)) (3 (3)) (2 (3)) (1 (3)) (0 (3)))
689 @section Bool-vectors
692 A bool-vector is much like a vector, except that it stores only the
693 values @code{t} and @code{nil}. If you try to store any non-@code{nil}
694 value into an element of the bool-vector, the effect is to store
695 @code{t} there. As with all arrays, bool-vector indices start from 0,
696 and the length cannot be changed once the bool-vector is created.
697 Bool-vectors are constants when evaluated.
699 There are two special functions for working with bool-vectors; aside
700 from that, you manipulate them with same functions used for other kinds
703 @defun make-bool-vector length initial
704 Return a new bool-vector of @var{length} elements,
705 each one initialized to @var{initial}.
708 @defun bool-vector-p object
709 This returns @code{t} if @var{object} is a bool-vector,
710 and @code{nil} otherwise.
713 Here is an example of creating, examining, and updating a
714 bool-vector. Note that the printed form represents up to 8 boolean
715 values as a single character.
718 (setq bv (make-bool-vector 5 t))
729 These results make sense because the binary codes for control-_ and
730 control-W are 11111 and 10111, respectively.
733 arch-tag: fcf1084a-cd29-4adc-9f16-68586935b386