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1 @c -*-texinfo-*-
2 @c This is part of the GNU Emacs Lisp Reference Manual.
3 @c Copyright (C) 1990, 1991, 1992, 1993, 1994, 1995, 1998, 1999, 2003
4 @c Free Software Foundation, Inc.
5 @c See the file elisp.texi for copying conditions.
6 @setfilename ../info/objects
7 @node Lisp Data Types, Numbers, Introduction, Top
8 @chapter Lisp Data Types
9 @cindex object
10 @cindex Lisp object
11 @cindex type
12 @cindex data type
13
14 A Lisp @dfn{object} is a piece of data used and manipulated by Lisp
15 programs. For our purposes, a @dfn{type} or @dfn{data type} is a set of
16 possible objects.
17
18 Every object belongs to at least one type. Objects of the same type
19 have similar structures and may usually be used in the same contexts.
20 Types can overlap, and objects can belong to two or more types.
21 Consequently, we can ask whether an object belongs to a particular type,
22 but not for ``the'' type of an object.
23
24 @cindex primitive type
25 A few fundamental object types are built into Emacs. These, from
26 which all other types are constructed, are called @dfn{primitive types}.
27 Each object belongs to one and only one primitive type. These types
28 include @dfn{integer}, @dfn{float}, @dfn{cons}, @dfn{symbol},
29 @dfn{string}, @dfn{vector}, @dfn{hash-table}, @dfn{subr}, and
30 @dfn{byte-code function}, plus several special types, such as
31 @dfn{buffer}, that are related to editing. (@xref{Editing Types}.)
32
33 Each primitive type has a corresponding Lisp function that checks
34 whether an object is a member of that type.
35
36 Note that Lisp is unlike many other languages in that Lisp objects are
37 @dfn{self-typing}: the primitive type of the object is implicit in the
38 object itself. For example, if an object is a vector, nothing can treat
39 it as a number; Lisp knows it is a vector, not a number.
40
41 In most languages, the programmer must declare the data type of each
42 variable, and the type is known by the compiler but not represented in
43 the data. Such type declarations do not exist in Emacs Lisp. A Lisp
44 variable can have any type of value, and it remembers whatever value
45 you store in it, type and all. (Actually, a small number of Emacs
46 Lisp variables can only take on values of a certain type.
47 @xref{Variables with Restricted Values}.)
48
49 This chapter describes the purpose, printed representation, and read
50 syntax of each of the standard types in GNU Emacs Lisp. Details on how
51 to use these types can be found in later chapters.
52
53 @menu
54 * Printed Representation:: How Lisp objects are represented as text.
55 * Comments:: Comments and their formatting conventions.
56 * Programming Types:: Types found in all Lisp systems.
57 * Editing Types:: Types specific to Emacs.
58 * Circular Objects:: Read syntax for circular structure.
59 * Type Predicates:: Tests related to types.
60 * Equality Predicates:: Tests of equality between any two objects.
61 @end menu
62
63 @node Printed Representation
64 @comment node-name, next, previous, up
65 @section Printed Representation and Read Syntax
66 @cindex printed representation
67 @cindex read syntax
68
69 The @dfn{printed representation} of an object is the format of the
70 output generated by the Lisp printer (the function @code{prin1}) for
71 that object. Every data type has a unique printed representation.
72 The @dfn{read syntax} of an object is the format of the input accepted
73 by the Lisp reader (the function @code{read}) for that object. This
74 is not necessarily unique; many kinds of object have more than one
75 syntax. @xref{Read and Print}.
76
77 @cindex hash notation
78 In most cases, an object's printed representation is also a read
79 syntax for the object. However, some types have no read syntax, since
80 it does not make sense to enter objects of these types as constants in
81 a Lisp program. These objects are printed in @dfn{hash notation}: the
82 characters @samp{#<} followed by a descriptive string (typically the
83 type name followed by the name of the object), and closed with a
84 matching @samp{>}. For example:
85
86 @example
87 (current-buffer)
88 @result{} #<buffer objects.texi>
89 @end example
90
91 @noindent
92 Hash notation cannot be read at all, so the Lisp reader signals the
93 error @code{invalid-read-syntax} whenever it encounters @samp{#<}.
94 @kindex invalid-read-syntax
95
96 In other languages, an expression is text; it has no other form. In
97 Lisp, an expression is primarily a Lisp object and only secondarily the
98 text that is the object's read syntax. Often there is no need to
99 emphasize this distinction, but you must keep it in the back of your
100 mind, or you will occasionally be very confused.
101
102 When you evaluate an expression interactively, the Lisp interpreter
103 first reads the textual representation of it, producing a Lisp object,
104 and then evaluates that object (@pxref{Evaluation}). However,
105 evaluation and reading are separate activities. Reading returns the
106 Lisp object represented by the text that is read; the object may or may
107 not be evaluated later. @xref{Input Functions}, for a description of
108 @code{read}, the basic function for reading objects.
109
110 @node Comments
111 @comment node-name, next, previous, up
112 @section Comments
113 @cindex comments
114 @cindex @samp{;} in comment
115
116 A @dfn{comment} is text that is written in a program only for the sake
117 of humans that read the program, and that has no effect on the meaning
118 of the program. In Lisp, a semicolon (@samp{;}) starts a comment if it
119 is not within a string or character constant. The comment continues to
120 the end of line. The Lisp reader discards comments; they do not become
121 part of the Lisp objects which represent the program within the Lisp
122 system.
123
124 The @samp{#@@@var{count}} construct, which skips the next @var{count}
125 characters, is useful for program-generated comments containing binary
126 data. The Emacs Lisp byte compiler uses this in its output files
127 (@pxref{Byte Compilation}). It isn't meant for source files, however.
128
129 @xref{Comment Tips}, for conventions for formatting comments.
130
131 @node Programming Types
132 @section Programming Types
133 @cindex programming types
134
135 There are two general categories of types in Emacs Lisp: those having
136 to do with Lisp programming, and those having to do with editing. The
137 former exist in many Lisp implementations, in one form or another. The
138 latter are unique to Emacs Lisp.
139
140 @menu
141 * Integer Type:: Numbers without fractional parts.
142 * Floating Point Type:: Numbers with fractional parts and with a large range.
143 * Character Type:: The representation of letters, numbers and
144 control characters.
145 * Symbol Type:: A multi-use object that refers to a function,
146 variable, or property list, and has a unique identity.
147 * Sequence Type:: Both lists and arrays are classified as sequences.
148 * Cons Cell Type:: Cons cells, and lists (which are made from cons cells).
149 * Array Type:: Arrays include strings and vectors.
150 * String Type:: An (efficient) array of characters.
151 * Vector Type:: One-dimensional arrays.
152 * Char-Table Type:: One-dimensional sparse arrays indexed by characters.
153 * Bool-Vector Type:: One-dimensional arrays of @code{t} or @code{nil}.
154 * Hash Table Type:: Super-fast lookup tables.
155 * Function Type:: A piece of executable code you can call from elsewhere.
156 * Macro Type:: A method of expanding an expression into another
157 expression, more fundamental but less pretty.
158 * Primitive Function Type:: A function written in C, callable from Lisp.
159 * Byte-Code Type:: A function written in Lisp, then compiled.
160 * Autoload Type:: A type used for automatically loading seldom-used
161 functions.
162 @end menu
163
164 @node Integer Type
165 @subsection Integer Type
166
167 The range of values for integers in Emacs Lisp is @minus{}268435456 to
168 268435455 (29 bits; i.e.,
169 @ifnottex
170 -2**28
171 @end ifnottex
172 @tex
173 @math{-2^{28}}
174 @end tex
175 to
176 @ifnottex
177 2**28 - 1)
178 @end ifnottex
179 @tex
180 @math{2^{28}-1})
181 @end tex
182 on most machines. (Some machines may provide a wider range.) It is
183 important to note that the Emacs Lisp arithmetic functions do not check
184 for overflow. Thus @code{(1+ 268435455)} is @minus{}268435456 on most
185 machines.
186
187 The read syntax for integers is a sequence of (base ten) digits with an
188 optional sign at the beginning and an optional period at the end. The
189 printed representation produced by the Lisp interpreter never has a
190 leading @samp{+} or a final @samp{.}.
191
192 @example
193 @group
194 -1 ; @r{The integer -1.}
195 1 ; @r{The integer 1.}
196 1. ; @r{Also the integer 1.}
197 +1 ; @r{Also the integer 1.}
198 536870913 ; @r{Also the integer 1 on a 29-bit implementation.}
199 @end group
200 @end example
201
202 @xref{Numbers}, for more information.
203
204 @node Floating Point Type
205 @subsection Floating Point Type
206
207 Floating point numbers are the computer equivalent of scientific
208 notation; you can think of a floating point number as a fraction
209 together with a power of ten. The precise number of significant
210 figures and the range of possible exponents is machine-specific; Emacs
211 uses the C data type @code{double} to store the value, and internally
212 this records a power of 2 rather than a power of 10.
213
214 The printed representation for floating point numbers requires either
215 a decimal point (with at least one digit following), an exponent, or
216 both. For example, @samp{1500.0}, @samp{15e2}, @samp{15.0e2},
217 @samp{1.5e3}, and @samp{.15e4} are five ways of writing a floating point
218 number whose value is 1500. They are all equivalent.
219
220 @xref{Numbers}, for more information.
221
222 @node Character Type
223 @subsection Character Type
224 @cindex @acronym{ASCII} character codes
225
226 A @dfn{character} in Emacs Lisp is nothing more than an integer. In
227 other words, characters are represented by their character codes. For
228 example, the character @kbd{A} is represented as the @w{integer 65}.
229
230 Individual characters are not often used in programs. It is far more
231 common to work with @emph{strings}, which are sequences composed of
232 characters. @xref{String Type}.
233
234 Characters in strings, buffers, and files are currently limited to
235 the range of 0 to 524287---nineteen bits. But not all values in that
236 range are valid character codes. Codes 0 through 127 are
237 @acronym{ASCII} codes; the rest are non-@acronym{ASCII}
238 (@pxref{Non-ASCII Characters}). Characters that represent keyboard
239 input have a much wider range, to encode modifier keys such as
240 Control, Meta and Shift.
241
242 @cindex read syntax for characters
243 @cindex printed representation for characters
244 @cindex syntax for characters
245 @cindex @samp{?} in character constant
246 @cindex question mark in character constant
247 Since characters are really integers, the printed representation of a
248 character is a decimal number. This is also a possible read syntax for
249 a character, but writing characters that way in Lisp programs is a very
250 bad idea. You should @emph{always} use the special read syntax formats
251 that Emacs Lisp provides for characters. These syntax formats start
252 with a question mark.
253
254 The usual read syntax for alphanumeric characters is a question mark
255 followed by the character; thus, @samp{?A} for the character
256 @kbd{A}, @samp{?B} for the character @kbd{B}, and @samp{?a} for the
257 character @kbd{a}.
258
259 For example:
260
261 @example
262 ?Q @result{} 81 ?q @result{} 113
263 @end example
264
265 You can use the same syntax for punctuation characters, but it is
266 often a good idea to add a @samp{\} so that the Emacs commands for
267 editing Lisp code don't get confused. For example, @samp{?\(} is the
268 way to write the open-paren character. If the character is @samp{\},
269 you @emph{must} use a second @samp{\} to quote it: @samp{?\\}.
270
271 @cindex whitespace
272 @cindex bell character
273 @cindex @samp{\a}
274 @cindex backspace
275 @cindex @samp{\b}
276 @cindex tab
277 @cindex @samp{\t}
278 @cindex vertical tab
279 @cindex @samp{\v}
280 @cindex formfeed
281 @cindex @samp{\f}
282 @cindex newline
283 @cindex @samp{\n}
284 @cindex return
285 @cindex @samp{\r}
286 @cindex escape
287 @cindex @samp{\e}
288 @cindex space
289 @cindex @samp{\s}
290 You can express the characters control-g, backspace, tab, newline,
291 vertical tab, formfeed, space, return, del, and escape as @samp{?\a},
292 @samp{?\b}, @samp{?\t}, @samp{?\n}, @samp{?\v}, @samp{?\f},
293 @samp{?\s}, @samp{?\r}, @samp{?\d}, and @samp{?\e}, respectively.
294 Thus,
295
296 @example
297 ?\a @result{} 7 ; @r{control-g, @kbd{C-g}}
298 ?\b @result{} 8 ; @r{backspace, @key{BS}, @kbd{C-h}}
299 ?\t @result{} 9 ; @r{tab, @key{TAB}, @kbd{C-i}}
300 ?\n @result{} 10 ; @r{newline, @kbd{C-j}}
301 ?\v @result{} 11 ; @r{vertical tab, @kbd{C-k}}
302 ?\f @result{} 12 ; @r{formfeed character, @kbd{C-l}}
303 ?\r @result{} 13 ; @r{carriage return, @key{RET}, @kbd{C-m}}
304 ?\e @result{} 27 ; @r{escape character, @key{ESC}, @kbd{C-[}}
305 ?\s @result{} 32 ; @r{space character, @key{SPC}}
306 ?\\ @result{} 92 ; @r{backslash character, @kbd{\}}
307 ?\d @result{} 127 ; @r{delete character, @key{DEL}}
308 @end example
309
310 @cindex escape sequence
311 These sequences which start with backslash are also known as
312 @dfn{escape sequences}, because backslash plays the role of an
313 ``escape character''; this terminology has nothing to do with the
314 character @key{ESC}. @samp{\s} is meant for use only in character
315 constants; in string constants, just write the space.
316
317 @cindex control characters
318 Control characters may be represented using yet another read syntax.
319 This consists of a question mark followed by a backslash, caret, and the
320 corresponding non-control character, in either upper or lower case. For
321 example, both @samp{?\^I} and @samp{?\^i} are valid read syntax for the
322 character @kbd{C-i}, the character whose value is 9.
323
324 Instead of the @samp{^}, you can use @samp{C-}; thus, @samp{?\C-i} is
325 equivalent to @samp{?\^I} and to @samp{?\^i}:
326
327 @example
328 ?\^I @result{} 9 ?\C-I @result{} 9
329 @end example
330
331 In strings and buffers, the only control characters allowed are those
332 that exist in @acronym{ASCII}; but for keyboard input purposes, you can turn
333 any character into a control character with @samp{C-}. The character
334 codes for these non-@acronym{ASCII} control characters include the
335 @tex
336 @math{2^{26}}
337 @end tex
338 @ifnottex
339 2**26
340 @end ifnottex
341 bit as well as the code for the corresponding non-control
342 character. Ordinary terminals have no way of generating non-@acronym{ASCII}
343 control characters, but you can generate them straightforwardly using X
344 and other window systems.
345
346 For historical reasons, Emacs treats the @key{DEL} character as
347 the control equivalent of @kbd{?}:
348
349 @example
350 ?\^? @result{} 127 ?\C-? @result{} 127
351 @end example
352
353 @noindent
354 As a result, it is currently not possible to represent the character
355 @kbd{Control-?}, which is a meaningful input character under X, using
356 @samp{\C-}. It is not easy to change this, as various Lisp files refer
357 to @key{DEL} in this way.
358
359 For representing control characters to be found in files or strings,
360 we recommend the @samp{^} syntax; for control characters in keyboard
361 input, we prefer the @samp{C-} syntax. Which one you use does not
362 affect the meaning of the program, but may guide the understanding of
363 people who read it.
364
365 @cindex meta characters
366 A @dfn{meta character} is a character typed with the @key{META}
367 modifier key. The integer that represents such a character has the
368 @tex
369 @math{2^{27}}
370 @end tex
371 @ifnottex
372 2**27
373 @end ifnottex
374 bit set. We use high bits for this and other modifiers to make
375 possible a wide range of basic character codes.
376
377 In a string, the
378 @tex
379 @math{2^{7}}
380 @end tex
381 @ifnottex
382 2**7
383 @end ifnottex
384 bit attached to an @acronym{ASCII} character indicates a meta
385 character; thus, the meta characters that can fit in a string have
386 codes in the range from 128 to 255, and are the meta versions of the
387 ordinary @acronym{ASCII} characters. (In Emacs versions 18 and older,
388 this convention was used for characters outside of strings as well.)
389
390 The read syntax for meta characters uses @samp{\M-}. For example,
391 @samp{?\M-A} stands for @kbd{M-A}. You can use @samp{\M-} together with
392 octal character codes (see below), with @samp{\C-}, or with any other
393 syntax for a character. Thus, you can write @kbd{M-A} as @samp{?\M-A},
394 or as @samp{?\M-\101}. Likewise, you can write @kbd{C-M-b} as
395 @samp{?\M-\C-b}, @samp{?\C-\M-b}, or @samp{?\M-\002}.
396
397 The case of a graphic character is indicated by its character code;
398 for example, @acronym{ASCII} distinguishes between the characters @samp{a}
399 and @samp{A}. But @acronym{ASCII} has no way to represent whether a control
400 character is upper case or lower case. Emacs uses the
401 @tex
402 @math{2^{25}}
403 @end tex
404 @ifnottex
405 2**25
406 @end ifnottex
407 bit to indicate that the shift key was used in typing a control
408 character. This distinction is possible only when you use X terminals
409 or other special terminals; ordinary terminals do not report the
410 distinction to the computer in any way. The Lisp syntax for
411 the shift bit is @samp{\S-}; thus, @samp{?\C-\S-o} or @samp{?\C-\S-O}
412 represents the shifted-control-o character.
413
414 @cindex hyper characters
415 @cindex super characters
416 @cindex alt characters
417 The X Window System defines three other
418 @anchor{modifier bits}modifier bits that can be set
419 in a character: @dfn{hyper}, @dfn{super} and @dfn{alt}. The syntaxes
420 for these bits are @samp{\H-}, @samp{\s-} and @samp{\A-}. (Case is
421 significant in these prefixes.) Thus, @samp{?\H-\M-\A-x} represents
422 @kbd{Alt-Hyper-Meta-x}. (Note that @samp{\s} with no following @samp{-}
423 represents the space character.)
424 @tex
425 Numerically, the bit values are @math{2^{22}} for alt, @math{2^{23}}
426 for super and @math{2^{24}} for hyper.
427 @end tex
428 @ifnottex
429 Numerically, the
430 bit values are 2**22 for alt, 2**23 for super and 2**24 for hyper.
431 @end ifnottex
432
433 @cindex @samp{\} in character constant
434 @cindex backslash in character constant
435 @cindex octal character code
436 Finally, the most general read syntax for a character represents the
437 character code in either octal or hex. To use octal, write a question
438 mark followed by a backslash and the octal character code (up to three
439 octal digits); thus, @samp{?\101} for the character @kbd{A},
440 @samp{?\001} for the character @kbd{C-a}, and @code{?\002} for the
441 character @kbd{C-b}. Although this syntax can represent any @acronym{ASCII}
442 character, it is preferred only when the precise octal value is more
443 important than the @acronym{ASCII} representation.
444
445 @example
446 @group
447 ?\012 @result{} 10 ?\n @result{} 10 ?\C-j @result{} 10
448 ?\101 @result{} 65 ?A @result{} 65
449 @end group
450 @end example
451
452 To use hex, write a question mark followed by a backslash, @samp{x},
453 and the hexadecimal character code. You can use any number of hex
454 digits, so you can represent any character code in this way.
455 Thus, @samp{?\x41} for the character @kbd{A}, @samp{?\x1} for the
456 character @kbd{C-a}, and @code{?\x8e0} for the Latin-1 character
457 @iftex
458 @samp{@`a}.
459 @end iftex
460 @ifnottex
461 @samp{a} with grave accent.
462 @end ifnottex
463
464 A backslash is allowed, and harmless, preceding any character without
465 a special escape meaning; thus, @samp{?\+} is equivalent to @samp{?+}.
466 There is no reason to add a backslash before most characters. However,
467 you should add a backslash before any of the characters
468 @samp{()\|;'`"#.,} to avoid confusing the Emacs commands for editing
469 Lisp code. You can also add a backslash before whitespace characters such as
470 space, tab, newline and formfeed. However, it is cleaner to use one of
471 the easily readable escape sequences, such as @samp{\t} or @samp{\s},
472 instead of an actual whitespace character such as a tab or a space.
473 (If you do write backslash followed by a space, you should write
474 an extra space after the character constant to separate it from the
475 following text.)
476
477 @node Symbol Type
478 @subsection Symbol Type
479
480 A @dfn{symbol} in GNU Emacs Lisp is an object with a name. The
481 symbol name serves as the printed representation of the symbol. In
482 ordinary Lisp use, with one single obarray (@pxref{Creating Symbols},
483 a symbol's name is unique---no two symbols have the same name.
484
485 A symbol can serve as a variable, as a function name, or to hold a
486 property list. Or it may serve only to be distinct from all other Lisp
487 objects, so that its presence in a data structure may be recognized
488 reliably. In a given context, usually only one of these uses is
489 intended. But you can use one symbol in all of these ways,
490 independently.
491
492 A symbol whose name starts with a colon (@samp{:}) is called a
493 @dfn{keyword symbol}. These symbols automatically act as constants, and
494 are normally used only by comparing an unknown symbol with a few
495 specific alternatives.
496
497 @cindex @samp{\} in symbols
498 @cindex backslash in symbols
499 A symbol name can contain any characters whatever. Most symbol names
500 are written with letters, digits, and the punctuation characters
501 @samp{-+=*/}. Such names require no special punctuation; the characters
502 of the name suffice as long as the name does not look like a number.
503 (If it does, write a @samp{\} at the beginning of the name to force
504 interpretation as a symbol.) The characters @samp{_~!@@$%^&:<>@{@}?} are
505 less often used but also require no special punctuation. Any other
506 characters may be included in a symbol's name by escaping them with a
507 backslash. In contrast to its use in strings, however, a backslash in
508 the name of a symbol simply quotes the single character that follows the
509 backslash. For example, in a string, @samp{\t} represents a tab
510 character; in the name of a symbol, however, @samp{\t} merely quotes the
511 letter @samp{t}. To have a symbol with a tab character in its name, you
512 must actually use a tab (preceded with a backslash). But it's rare to
513 do such a thing.
514
515 @cindex CL note---case of letters
516 @quotation
517 @b{Common Lisp note:} In Common Lisp, lower case letters are always
518 ``folded'' to upper case, unless they are explicitly escaped. In Emacs
519 Lisp, upper case and lower case letters are distinct.
520 @end quotation
521
522 Here are several examples of symbol names. Note that the @samp{+} in
523 the fifth example is escaped to prevent it from being read as a number.
524 This is not necessary in the fourth example because the rest of the name
525 makes it invalid as a number.
526
527 @example
528 @group
529 foo ; @r{A symbol named @samp{foo}.}
530 FOO ; @r{A symbol named @samp{FOO}, different from @samp{foo}.}
531 char-to-string ; @r{A symbol named @samp{char-to-string}.}
532 @end group
533 @group
534 1+ ; @r{A symbol named @samp{1+}}
535 ; @r{(not @samp{+1}, which is an integer).}
536 @end group
537 @group
538 \+1 ; @r{A symbol named @samp{+1}}
539 ; @r{(not a very readable name).}
540 @end group
541 @group
542 \(*\ 1\ 2\) ; @r{A symbol named @samp{(* 1 2)} (a worse name).}
543 @c the @'s in this next line use up three characters, hence the
544 @c apparent misalignment of the comment.
545 +-*/_~!@@$%^&=:<>@{@} ; @r{A symbol named @samp{+-*/_~!@@$%^&=:<>@{@}}.}
546 ; @r{These characters need not be escaped.}
547 @end group
548 @end example
549
550 @ifinfo
551 @c This uses ``colon'' instead of a literal `:' because Info cannot
552 @c cope with a `:' in a menu
553 @cindex @samp{#@var{colon}} read syntax
554 @end ifinfo
555 @ifnotinfo
556 @cindex @samp{#:} read syntax
557 @end ifnotinfo
558 Normally the Lisp reader interns all symbols (@pxref{Creating
559 Symbols}). To prevent interning, you can write @samp{#:} before the
560 name of the symbol.
561
562 @node Sequence Type
563 @subsection Sequence Types
564
565 A @dfn{sequence} is a Lisp object that represents an ordered set of
566 elements. There are two kinds of sequence in Emacs Lisp, lists and
567 arrays. Thus, an object of type list or of type array is also
568 considered a sequence.
569
570 Arrays are further subdivided into strings, vectors, char-tables and
571 bool-vectors. Vectors can hold elements of any type, but string
572 elements must be characters, and bool-vector elements must be @code{t}
573 or @code{nil}. Char-tables are like vectors except that they are
574 indexed by any valid character code. The characters in a string can
575 have text properties like characters in a buffer (@pxref{Text
576 Properties}), but vectors do not support text properties, even when
577 their elements happen to be characters.
578
579 Lists, strings and the other array types are different, but they have
580 important similarities. For example, all have a length @var{l}, and all
581 have elements which can be indexed from zero to @var{l} minus one.
582 Several functions, called sequence functions, accept any kind of
583 sequence. For example, the function @code{elt} can be used to extract
584 an element of a sequence, given its index. @xref{Sequences Arrays
585 Vectors}.
586
587 It is generally impossible to read the same sequence twice, since
588 sequences are always created anew upon reading. If you read the read
589 syntax for a sequence twice, you get two sequences with equal contents.
590 There is one exception: the empty list @code{()} always stands for the
591 same object, @code{nil}.
592
593 @node Cons Cell Type
594 @subsection Cons Cell and List Types
595 @cindex address field of register
596 @cindex decrement field of register
597 @cindex pointers
598
599 A @dfn{cons cell} is an object that consists of two slots, called the
600 @sc{car} slot and the @sc{cdr} slot. Each slot can @dfn{hold} or
601 @dfn{refer to} any Lisp object. We also say that ``the @sc{car} of
602 this cons cell is'' whatever object its @sc{car} slot currently holds,
603 and likewise for the @sc{cdr}.
604
605 @quotation
606 A note to C programmers: in Lisp, we do not distinguish between
607 ``holding'' a value and ``pointing to'' the value, because pointers in
608 Lisp are implicit.
609 @end quotation
610
611 A @dfn{list} is a series of cons cells, linked together so that the
612 @sc{cdr} slot of each cons cell holds either the next cons cell or the
613 empty list. The empty list is actually the symbol @code{nil}.
614 @xref{Lists}, for functions that work on lists. Because most cons
615 cells are used as part of lists, the phrase @dfn{list structure} has
616 come to refer to any structure made out of cons cells.
617
618 @cindex atom
619 Because cons cells are so central to Lisp, we also have a word for
620 ``an object which is not a cons cell''. These objects are called
621 @dfn{atoms}.
622
623 @cindex parenthesis
624 The read syntax and printed representation for lists are identical, and
625 consist of a left parenthesis, an arbitrary number of elements, and a
626 right parenthesis. Here are examples of lists:
627
628 @example
629 (A 2 "A") ; @r{A list of three elements.}
630 () ; @r{A list of no elements (the empty list).}
631 nil ; @r{A list of no elements (the empty list).}
632 ("A ()") ; @r{A list of one element: the string @code{"A ()"}.}
633 (A ()) ; @r{A list of two elements: @code{A} and the empty list.}
634 (A nil) ; @r{Equivalent to the previous.}
635 ((A B C)) ; @r{A list of one element}
636 ; @r{(which is a list of three elements).}
637 @end example
638
639 Upon reading, each object inside the parentheses becomes an element
640 of the list. That is, a cons cell is made for each element. The
641 @sc{car} slot of the cons cell holds the element, and its @sc{cdr}
642 slot refers to the next cons cell of the list, which holds the next
643 element in the list. The @sc{cdr} slot of the last cons cell is set to
644 hold @code{nil}.
645
646 The names @sc{car} and @sc{cdr} derive from the history of Lisp. The
647 original Lisp implementation ran on an @w{IBM 704} computer which
648 divided words into two parts, called the ``address'' part and the
649 ``decrement''; @sc{car} was an instruction to extract the contents of
650 the address part of a register, and @sc{cdr} an instruction to extract
651 the contents of the decrement. By contrast, ``cons cells'' are named
652 for the function @code{cons} that creates them, which in turn was named
653 for its purpose, the construction of cells.
654
655 @menu
656 * Box Diagrams:: Drawing pictures of lists.
657 * Dotted Pair Notation:: A general syntax for cons cells.
658 * Association List Type:: A specially constructed list.
659 @end menu
660
661 @node Box Diagrams
662 @subsubsection Drawing Lists as Box Diagrams
663 @cindex box diagrams, for lists
664 @cindex diagrams, boxed, for lists
665
666 A list can be illustrated by a diagram in which the cons cells are
667 shown as pairs of boxes, like dominoes. (The Lisp reader cannot read
668 such an illustration; unlike the textual notation, which can be
669 understood by both humans and computers, the box illustrations can be
670 understood only by humans.) This picture represents the three-element
671 list @code{(rose violet buttercup)}:
672
673 @example
674 @group
675 --- --- --- --- --- ---
676 | | |--> | | |--> | | |--> nil
677 --- --- --- --- --- ---
678 | | |
679 | | |
680 --> rose --> violet --> buttercup
681 @end group
682 @end example
683
684 In this diagram, each box represents a slot that can hold or refer to
685 any Lisp object. Each pair of boxes represents a cons cell. Each arrow
686 represents a reference to a Lisp object, either an atom or another cons
687 cell.
688
689 In this example, the first box, which holds the @sc{car} of the first
690 cons cell, refers to or ``holds'' @code{rose} (a symbol). The second
691 box, holding the @sc{cdr} of the first cons cell, refers to the next
692 pair of boxes, the second cons cell. The @sc{car} of the second cons
693 cell is @code{violet}, and its @sc{cdr} is the third cons cell. The
694 @sc{cdr} of the third (and last) cons cell is @code{nil}.
695
696 Here is another diagram of the same list, @code{(rose violet
697 buttercup)}, sketched in a different manner:
698
699 @smallexample
700 @group
701 --------------- ---------------- -------------------
702 | car | cdr | | car | cdr | | car | cdr |
703 | rose | o-------->| violet | o-------->| buttercup | nil |
704 | | | | | | | | |
705 --------------- ---------------- -------------------
706 @end group
707 @end smallexample
708
709 @cindex @samp{(@dots{})} in lists
710 @cindex @code{nil} in lists
711 @cindex empty list
712 A list with no elements in it is the @dfn{empty list}; it is identical
713 to the symbol @code{nil}. In other words, @code{nil} is both a symbol
714 and a list.
715
716 Here is the list @code{(A ())}, or equivalently @code{(A nil)},
717 depicted with boxes and arrows:
718
719 @example
720 @group
721 --- --- --- ---
722 | | |--> | | |--> nil
723 --- --- --- ---
724 | |
725 | |
726 --> A --> nil
727 @end group
728 @end example
729
730 Here is a more complex illustration, showing the three-element list,
731 @code{((pine needles) oak maple)}, the first element of which is a
732 two-element list:
733
734 @example
735 @group
736 --- --- --- --- --- ---
737 | | |--> | | |--> | | |--> nil
738 --- --- --- --- --- ---
739 | | |
740 | | |
741 | --> oak --> maple
742 |
743 | --- --- --- ---
744 --> | | |--> | | |--> nil
745 --- --- --- ---
746 | |
747 | |
748 --> pine --> needles
749 @end group
750 @end example
751
752 The same list represented in the first box notation looks like this:
753
754 @example
755 @group
756 -------------- -------------- --------------
757 | car | cdr | | car | cdr | | car | cdr |
758 | o | o------->| oak | o------->| maple | nil |
759 | | | | | | | | | |
760 -- | --------- -------------- --------------
761 |
762 |
763 | -------------- ----------------
764 | | car | cdr | | car | cdr |
765 ------>| pine | o------->| needles | nil |
766 | | | | | |
767 -------------- ----------------
768 @end group
769 @end example
770
771 @node Dotted Pair Notation
772 @subsubsection Dotted Pair Notation
773 @cindex dotted pair notation
774 @cindex @samp{.} in lists
775
776 @dfn{Dotted pair notation} is a general syntax for cons cells that
777 represents the @sc{car} and @sc{cdr} explicitly. In this syntax,
778 @code{(@var{a} .@: @var{b})} stands for a cons cell whose @sc{car} is
779 the object @var{a}, and whose @sc{cdr} is the object @var{b}. Dotted
780 pair notation is more general than list syntax because the @sc{cdr}
781 does not have to be a list. However, it is more cumbersome in cases
782 where list syntax would work. In dotted pair notation, the list
783 @samp{(1 2 3)} is written as @samp{(1 . (2 . (3 . nil)))}. For
784 @code{nil}-terminated lists, you can use either notation, but list
785 notation is usually clearer and more convenient. When printing a
786 list, the dotted pair notation is only used if the @sc{cdr} of a cons
787 cell is not a list.
788
789 Here's an example using boxes to illustrate dotted pair notation.
790 This example shows the pair @code{(rose . violet)}:
791
792 @example
793 @group
794 --- ---
795 | | |--> violet
796 --- ---
797 |
798 |
799 --> rose
800 @end group
801 @end example
802
803 You can combine dotted pair notation with list notation to represent
804 conveniently a chain of cons cells with a non-@code{nil} final @sc{cdr}.
805 You write a dot after the last element of the list, followed by the
806 @sc{cdr} of the final cons cell. For example, @code{(rose violet
807 . buttercup)} is equivalent to @code{(rose . (violet . buttercup))}.
808 The object looks like this:
809
810 @example
811 @group
812 --- --- --- ---
813 | | |--> | | |--> buttercup
814 --- --- --- ---
815 | |
816 | |
817 --> rose --> violet
818 @end group
819 @end example
820
821 The syntax @code{(rose .@: violet .@: buttercup)} is invalid because
822 there is nothing that it could mean. If anything, it would say to put
823 @code{buttercup} in the @sc{cdr} of a cons cell whose @sc{cdr} is already
824 used for @code{violet}.
825
826 The list @code{(rose violet)} is equivalent to @code{(rose . (violet))},
827 and looks like this:
828
829 @example
830 @group
831 --- --- --- ---
832 | | |--> | | |--> nil
833 --- --- --- ---
834 | |
835 | |
836 --> rose --> violet
837 @end group
838 @end example
839
840 Similarly, the three-element list @code{(rose violet buttercup)}
841 is equivalent to @code{(rose . (violet . (buttercup)))}.
842 @ifnottex
843 It looks like this:
844
845 @example
846 @group
847 --- --- --- --- --- ---
848 | | |--> | | |--> | | |--> nil
849 --- --- --- --- --- ---
850 | | |
851 | | |
852 --> rose --> violet --> buttercup
853 @end group
854 @end example
855 @end ifnottex
856
857 @node Association List Type
858 @comment node-name, next, previous, up
859 @subsubsection Association List Type
860
861 An @dfn{association list} or @dfn{alist} is a specially-constructed
862 list whose elements are cons cells. In each element, the @sc{car} is
863 considered a @dfn{key}, and the @sc{cdr} is considered an
864 @dfn{associated value}. (In some cases, the associated value is stored
865 in the @sc{car} of the @sc{cdr}.) Association lists are often used as
866 stacks, since it is easy to add or remove associations at the front of
867 the list.
868
869 For example,
870
871 @example
872 (setq alist-of-colors
873 '((rose . red) (lily . white) (buttercup . yellow)))
874 @end example
875
876 @noindent
877 sets the variable @code{alist-of-colors} to an alist of three elements. In the
878 first element, @code{rose} is the key and @code{red} is the value.
879
880 @xref{Association Lists}, for a further explanation of alists and for
881 functions that work on alists. @xref{Hash Tables}, for another kind of
882 lookup table, which is much faster for handling a large number of keys.
883
884 @node Array Type
885 @subsection Array Type
886
887 An @dfn{array} is composed of an arbitrary number of slots for
888 holding or referring to other Lisp objects, arranged in a contiguous block of
889 memory. Accessing any element of an array takes approximately the same
890 amount of time. In contrast, accessing an element of a list requires
891 time proportional to the position of the element in the list. (Elements
892 at the end of a list take longer to access than elements at the
893 beginning of a list.)
894
895 Emacs defines four types of array: strings, vectors, bool-vectors, and
896 char-tables.
897
898 A string is an array of characters and a vector is an array of
899 arbitrary objects. A bool-vector can hold only @code{t} or @code{nil}.
900 These kinds of array may have any length up to the largest integer.
901 Char-tables are sparse arrays indexed by any valid character code; they
902 can hold arbitrary objects.
903
904 The first element of an array has index zero, the second element has
905 index 1, and so on. This is called @dfn{zero-origin} indexing. For
906 example, an array of four elements has indices 0, 1, 2, @w{and 3}. The
907 largest possible index value is one less than the length of the array.
908 Once an array is created, its length is fixed.
909
910 All Emacs Lisp arrays are one-dimensional. (Most other programming
911 languages support multidimensional arrays, but they are not essential;
912 you can get the same effect with nested one-dimensional arrays.) Each
913 type of array has its own read syntax; see the following sections for
914 details.
915
916 The array type is contained in the sequence type and
917 contains the string type, the vector type, the bool-vector type, and the
918 char-table type.
919
920 @node String Type
921 @subsection String Type
922
923 A @dfn{string} is an array of characters. Strings are used for many
924 purposes in Emacs, as can be expected in a text editor; for example, as
925 the names of Lisp symbols, as messages for the user, and to represent
926 text extracted from buffers. Strings in Lisp are constants: evaluation
927 of a string returns the same string.
928
929 @xref{Strings and Characters}, for functions that operate on strings.
930
931 @menu
932 * Syntax for Strings::
933 * Non-ASCII in Strings::
934 * Nonprinting Characters::
935 * Text Props and Strings::
936 @end menu
937
938 @node Syntax for Strings
939 @subsubsection Syntax for Strings
940
941 @cindex @samp{"} in strings
942 @cindex double-quote in strings
943 @cindex @samp{\} in strings
944 @cindex backslash in strings
945 The read syntax for strings is a double-quote, an arbitrary number of
946 characters, and another double-quote, @code{"like this"}. To include a
947 double-quote in a string, precede it with a backslash; thus, @code{"\""}
948 is a string containing just a single double-quote character. Likewise,
949 you can include a backslash by preceding it with another backslash, like
950 this: @code{"this \\ is a single embedded backslash"}.
951
952 @cindex newline in strings
953 The newline character is not special in the read syntax for strings;
954 if you write a new line between the double-quotes, it becomes a
955 character in the string. But an escaped newline---one that is preceded
956 by @samp{\}---does not become part of the string; i.e., the Lisp reader
957 ignores an escaped newline while reading a string. An escaped space
958 @w{@samp{\ }} is likewise ignored.
959
960 @example
961 "It is useful to include newlines
962 in documentation strings,
963 but the newline is \
964 ignored if escaped."
965 @result{} "It is useful to include newlines
966 in documentation strings,
967 but the newline is ignored if escaped."
968 @end example
969
970 @node Non-ASCII in Strings
971 @subsubsection Non-@acronym{ASCII} Characters in Strings
972
973 You can include a non-@acronym{ASCII} international character in a string
974 constant by writing it literally. There are two text representations
975 for non-@acronym{ASCII} characters in Emacs strings (and in buffers): unibyte
976 and multibyte. If the string constant is read from a multibyte source,
977 such as a multibyte buffer or string, or a file that would be visited as
978 multibyte, then the character is read as a multibyte character, and that
979 makes the string multibyte. If the string constant is read from a
980 unibyte source, then the character is read as unibyte and that makes the
981 string unibyte.
982
983 You can also represent a multibyte non-@acronym{ASCII} character with its
984 character code: use a hex escape, @samp{\x@var{nnnnnnn}}, with as many
985 digits as necessary. (Multibyte non-@acronym{ASCII} character codes are all
986 greater than 256.) Any character which is not a valid hex digit
987 terminates this construct. If the next character in the string could be
988 interpreted as a hex digit, write @w{@samp{\ }} (backslash and space) to
989 terminate the hex escape---for example, @w{@samp{\x8e0\ }} represents
990 one character, @samp{a} with grave accent. @w{@samp{\ }} in a string
991 constant is just like backslash-newline; it does not contribute any
992 character to the string, but it does terminate the preceding hex escape.
993
994 You can represent a unibyte non-@acronym{ASCII} character with its
995 character code, which must be in the range from 128 (0200 octal) to
996 255 (0377 octal). If you write all such character codes in octal and
997 the string contains no other characters forcing it to be multibyte,
998 this produces a unibyte string. However, using any hex escape in a
999 string (even for an @acronym{ASCII} character) forces the string to be
1000 multibyte.
1001
1002 @xref{Text Representations}, for more information about the two
1003 text representations.
1004
1005 @node Nonprinting Characters
1006 @subsubsection Nonprinting Characters in Strings
1007
1008 You can use the same backslash escape-sequences in a string constant
1009 as in character literals (but do not use the question mark that begins a
1010 character constant). For example, you can write a string containing the
1011 nonprinting characters tab and @kbd{C-a}, with commas and spaces between
1012 them, like this: @code{"\t, \C-a"}. @xref{Character Type}, for a
1013 description of the read syntax for characters.
1014
1015 However, not all of the characters you can write with backslash
1016 escape-sequences are valid in strings. The only control characters that
1017 a string can hold are the @acronym{ASCII} control characters. Strings do not
1018 distinguish case in @acronym{ASCII} control characters.
1019
1020 Properly speaking, strings cannot hold meta characters; but when a
1021 string is to be used as a key sequence, there is a special convention
1022 that provides a way to represent meta versions of @acronym{ASCII}
1023 characters in a string. If you use the @samp{\M-} syntax to indicate
1024 a meta character in a string constant, this sets the
1025 @tex
1026 @math{2^{7}}
1027 @end tex
1028 @ifnottex
1029 2**7
1030 @end ifnottex
1031 bit of the character in the string. If the string is used in
1032 @code{define-key} or @code{lookup-key}, this numeric code is translated
1033 into the equivalent meta character. @xref{Character Type}.
1034
1035 Strings cannot hold characters that have the hyper, super, or alt
1036 modifiers.
1037
1038 @node Text Props and Strings
1039 @subsubsection Text Properties in Strings
1040
1041 A string can hold properties for the characters it contains, in
1042 addition to the characters themselves. This enables programs that copy
1043 text between strings and buffers to copy the text's properties with no
1044 special effort. @xref{Text Properties}, for an explanation of what text
1045 properties mean. Strings with text properties use a special read and
1046 print syntax:
1047
1048 @example
1049 #("@var{characters}" @var{property-data}...)
1050 @end example
1051
1052 @noindent
1053 where @var{property-data} consists of zero or more elements, in groups
1054 of three as follows:
1055
1056 @example
1057 @var{beg} @var{end} @var{plist}
1058 @end example
1059
1060 @noindent
1061 The elements @var{beg} and @var{end} are integers, and together specify
1062 a range of indices in the string; @var{plist} is the property list for
1063 that range. For example,
1064
1065 @example
1066 #("foo bar" 0 3 (face bold) 3 4 nil 4 7 (face italic))
1067 @end example
1068
1069 @noindent
1070 represents a string whose textual contents are @samp{foo bar}, in which
1071 the first three characters have a @code{face} property with value
1072 @code{bold}, and the last three have a @code{face} property with value
1073 @code{italic}. (The fourth character has no text properties, so its
1074 property list is @code{nil}. It is not actually necessary to mention
1075 ranges with @code{nil} as the property list, since any characters not
1076 mentioned in any range will default to having no properties.)
1077
1078 @node Vector Type
1079 @subsection Vector Type
1080
1081 A @dfn{vector} is a one-dimensional array of elements of any type. It
1082 takes a constant amount of time to access any element of a vector. (In
1083 a list, the access time of an element is proportional to the distance of
1084 the element from the beginning of the list.)
1085
1086 The printed representation of a vector consists of a left square
1087 bracket, the elements, and a right square bracket. This is also the
1088 read syntax. Like numbers and strings, vectors are considered constants
1089 for evaluation.
1090
1091 @example
1092 [1 "two" (three)] ; @r{A vector of three elements.}
1093 @result{} [1 "two" (three)]
1094 @end example
1095
1096 @xref{Vectors}, for functions that work with vectors.
1097
1098 @node Char-Table Type
1099 @subsection Char-Table Type
1100
1101 A @dfn{char-table} is a one-dimensional array of elements of any type,
1102 indexed by character codes. Char-tables have certain extra features to
1103 make them more useful for many jobs that involve assigning information
1104 to character codes---for example, a char-table can have a parent to
1105 inherit from, a default value, and a small number of extra slots to use for
1106 special purposes. A char-table can also specify a single value for
1107 a whole character set.
1108
1109 The printed representation of a char-table is like a vector
1110 except that there is an extra @samp{#^} at the beginning.
1111
1112 @xref{Char-Tables}, for special functions to operate on char-tables.
1113 Uses of char-tables include:
1114
1115 @itemize @bullet
1116 @item
1117 Case tables (@pxref{Case Tables}).
1118
1119 @item
1120 Character category tables (@pxref{Categories}).
1121
1122 @item
1123 Display tables (@pxref{Display Tables}).
1124
1125 @item
1126 Syntax tables (@pxref{Syntax Tables}).
1127 @end itemize
1128
1129 @node Bool-Vector Type
1130 @subsection Bool-Vector Type
1131
1132 A @dfn{bool-vector} is a one-dimensional array of elements that
1133 must be @code{t} or @code{nil}.
1134
1135 The printed representation of a bool-vector is like a string, except
1136 that it begins with @samp{#&} followed by the length. The string
1137 constant that follows actually specifies the contents of the bool-vector
1138 as a bitmap---each ``character'' in the string contains 8 bits, which
1139 specify the next 8 elements of the bool-vector (1 stands for @code{t},
1140 and 0 for @code{nil}). The least significant bits of the character
1141 correspond to the lowest indices in the bool-vector.
1142
1143 @example
1144 (make-bool-vector 3 t)
1145 @result{} #&3"^G"
1146 (make-bool-vector 3 nil)
1147 @result{} #&3"^@@"
1148 @end example
1149
1150 @noindent
1151 These results make sense, because the binary code for @samp{C-g} is
1152 111 and @samp{C-@@} is the character with code 0.
1153
1154 If the length is not a multiple of 8, the printed representation
1155 shows extra elements, but these extras really make no difference. For
1156 instance, in the next example, the two bool-vectors are equal, because
1157 only the first 3 bits are used:
1158
1159 @example
1160 (equal #&3"\377" #&3"\007")
1161 @result{} t
1162 @end example
1163
1164 @node Hash Table Type
1165 @subsection Hash Table Type
1166
1167 A hash table is a very fast kind of lookup table, somewhat like an
1168 alist in that it maps keys to corresponding values, but much faster.
1169 Hash tables have no read syntax, and
1170 print using hash notation. @xref{Hash Tables}.
1171
1172 @example
1173 (make-hash-table)
1174 @result{} #<hash-table 'eql nil 0/65 0x83af980>
1175 @end example
1176
1177 @node Function Type
1178 @subsection Function Type
1179
1180 Just as functions in other programming languages are executable,
1181 @dfn{Lisp function} objects are pieces of executable code. However,
1182 functions in Lisp are primarily Lisp objects, and only secondarily the
1183 text which represents them. These Lisp objects are lambda expressions:
1184 lists whose first element is the symbol @code{lambda} (@pxref{Lambda
1185 Expressions}).
1186
1187 In most programming languages, it is impossible to have a function
1188 without a name. In Lisp, a function has no intrinsic name. A lambda
1189 expression is also called an @dfn{anonymous function} (@pxref{Anonymous
1190 Functions}). A named function in Lisp is actually a symbol with a valid
1191 function in its function cell (@pxref{Defining Functions}).
1192
1193 Most of the time, functions are called when their names are written in
1194 Lisp expressions in Lisp programs. However, you can construct or obtain
1195 a function object at run time and then call it with the primitive
1196 functions @code{funcall} and @code{apply}. @xref{Calling Functions}.
1197
1198 @node Macro Type
1199 @subsection Macro Type
1200
1201 A @dfn{Lisp macro} is a user-defined construct that extends the Lisp
1202 language. It is represented as an object much like a function, but with
1203 different argument-passing semantics. A Lisp macro has the form of a
1204 list whose first element is the symbol @code{macro} and whose @sc{cdr}
1205 is a Lisp function object, including the @code{lambda} symbol.
1206
1207 Lisp macro objects are usually defined with the built-in
1208 @code{defmacro} function, but any list that begins with @code{macro} is
1209 a macro as far as Emacs is concerned. @xref{Macros}, for an explanation
1210 of how to write a macro.
1211
1212 @strong{Warning}: Lisp macros and keyboard macros (@pxref{Keyboard
1213 Macros}) are entirely different things. When we use the word ``macro''
1214 without qualification, we mean a Lisp macro, not a keyboard macro.
1215
1216 @node Primitive Function Type
1217 @subsection Primitive Function Type
1218 @cindex special forms
1219
1220 A @dfn{primitive function} is a function callable from Lisp but
1221 written in the C programming language. Primitive functions are also
1222 called @dfn{subrs} or @dfn{built-in functions}. (The word ``subr'' is
1223 derived from ``subroutine''.) Most primitive functions evaluate all
1224 their arguments when they are called. A primitive function that does
1225 not evaluate all its arguments is called a @dfn{special form}
1226 (@pxref{Special Forms}).@refill
1227
1228 It does not matter to the caller of a function whether the function is
1229 primitive. However, this does matter if you try to redefine a primitive
1230 with a function written in Lisp. The reason is that the primitive
1231 function may be called directly from C code. Calls to the redefined
1232 function from Lisp will use the new definition, but calls from C code
1233 may still use the built-in definition. Therefore, @strong{we discourage
1234 redefinition of primitive functions}.
1235
1236 The term @dfn{function} refers to all Emacs functions, whether written
1237 in Lisp or C. @xref{Function Type}, for information about the
1238 functions written in Lisp.
1239
1240 Primitive functions have no read syntax and print in hash notation
1241 with the name of the subroutine.
1242
1243 @example
1244 @group
1245 (symbol-function 'car) ; @r{Access the function cell}
1246 ; @r{of the symbol.}
1247 @result{} #<subr car>
1248 (subrp (symbol-function 'car)) ; @r{Is this a primitive function?}
1249 @result{} t ; @r{Yes.}
1250 @end group
1251 @end example
1252
1253 @node Byte-Code Type
1254 @subsection Byte-Code Function Type
1255
1256 The byte compiler produces @dfn{byte-code function objects}.
1257 Internally, a byte-code function object is much like a vector; however,
1258 the evaluator handles this data type specially when it appears as a
1259 function to be called. @xref{Byte Compilation}, for information about
1260 the byte compiler.
1261
1262 The printed representation and read syntax for a byte-code function
1263 object is like that for a vector, with an additional @samp{#} before the
1264 opening @samp{[}.
1265
1266 @node Autoload Type
1267 @subsection Autoload Type
1268
1269 An @dfn{autoload object} is a list whose first element is the symbol
1270 @code{autoload}. It is stored as the function definition of a symbol,
1271 where it serves as a placeholder for the real definition. The autoload
1272 object says that the real definition is found in a file of Lisp code
1273 that should be loaded when necessary. It contains the name of the file,
1274 plus some other information about the real definition.
1275
1276 After the file has been loaded, the symbol should have a new function
1277 definition that is not an autoload object. The new definition is then
1278 called as if it had been there to begin with. From the user's point of
1279 view, the function call works as expected, using the function definition
1280 in the loaded file.
1281
1282 An autoload object is usually created with the function
1283 @code{autoload}, which stores the object in the function cell of a
1284 symbol. @xref{Autoload}, for more details.
1285
1286 @node Editing Types
1287 @section Editing Types
1288 @cindex editing types
1289
1290 The types in the previous section are used for general programming
1291 purposes, and most of them are common to most Lisp dialects. Emacs Lisp
1292 provides several additional data types for purposes connected with
1293 editing.
1294
1295 @menu
1296 * Buffer Type:: The basic object of editing.
1297 * Marker Type:: A position in a buffer.
1298 * Window Type:: Buffers are displayed in windows.
1299 * Frame Type:: Windows subdivide frames.
1300 * Window Configuration Type:: Recording the way a frame is subdivided.
1301 * Frame Configuration Type:: Recording the status of all frames.
1302 * Process Type:: A process running on the underlying OS.
1303 * Stream Type:: Receive or send characters.
1304 * Keymap Type:: What function a keystroke invokes.
1305 * Overlay Type:: How an overlay is represented.
1306 @end menu
1307
1308 @node Buffer Type
1309 @subsection Buffer Type
1310
1311 A @dfn{buffer} is an object that holds text that can be edited
1312 (@pxref{Buffers}). Most buffers hold the contents of a disk file
1313 (@pxref{Files}) so they can be edited, but some are used for other
1314 purposes. Most buffers are also meant to be seen by the user, and
1315 therefore displayed, at some time, in a window (@pxref{Windows}). But a
1316 buffer need not be displayed in any window.
1317
1318 The contents of a buffer are much like a string, but buffers are not
1319 used like strings in Emacs Lisp, and the available operations are
1320 different. For example, you can insert text efficiently into an
1321 existing buffer, altering the buffer's contents, whereas ``inserting''
1322 text into a string requires concatenating substrings, and the result is
1323 an entirely new string object.
1324
1325 Each buffer has a designated position called @dfn{point}
1326 (@pxref{Positions}). At any time, one buffer is the @dfn{current
1327 buffer}. Most editing commands act on the contents of the current
1328 buffer in the neighborhood of point. Many of the standard Emacs
1329 functions manipulate or test the characters in the current buffer; a
1330 whole chapter in this manual is devoted to describing these functions
1331 (@pxref{Text}).
1332
1333 Several other data structures are associated with each buffer:
1334
1335 @itemize @bullet
1336 @item
1337 a local syntax table (@pxref{Syntax Tables});
1338
1339 @item
1340 a local keymap (@pxref{Keymaps}); and,
1341
1342 @item
1343 a list of buffer-local variable bindings (@pxref{Buffer-Local Variables}).
1344
1345 @item
1346 overlays (@pxref{Overlays}).
1347
1348 @item
1349 text properties for the text in the buffer (@pxref{Text Properties}).
1350 @end itemize
1351
1352 @noindent
1353 The local keymap and variable list contain entries that individually
1354 override global bindings or values. These are used to customize the
1355 behavior of programs in different buffers, without actually changing the
1356 programs.
1357
1358 A buffer may be @dfn{indirect}, which means it shares the text
1359 of another buffer, but presents it differently. @xref{Indirect Buffers}.
1360
1361 Buffers have no read syntax. They print in hash notation, showing the
1362 buffer name.
1363
1364 @example
1365 @group
1366 (current-buffer)
1367 @result{} #<buffer objects.texi>
1368 @end group
1369 @end example
1370
1371 @node Marker Type
1372 @subsection Marker Type
1373
1374 A @dfn{marker} denotes a position in a specific buffer. Markers
1375 therefore have two components: one for the buffer, and one for the
1376 position. Changes in the buffer's text automatically relocate the
1377 position value as necessary to ensure that the marker always points
1378 between the same two characters in the buffer.
1379
1380 Markers have no read syntax. They print in hash notation, giving the
1381 current character position and the name of the buffer.
1382
1383 @example
1384 @group
1385 (point-marker)
1386 @result{} #<marker at 10779 in objects.texi>
1387 @end group
1388 @end example
1389
1390 @xref{Markers}, for information on how to test, create, copy, and move
1391 markers.
1392
1393 @node Window Type
1394 @subsection Window Type
1395
1396 A @dfn{window} describes the portion of the terminal screen that Emacs
1397 uses to display a buffer. Every window has one associated buffer, whose
1398 contents appear in the window. By contrast, a given buffer may appear
1399 in one window, no window, or several windows.
1400
1401 Though many windows may exist simultaneously, at any time one window
1402 is designated the @dfn{selected window}. This is the window where the
1403 cursor is (usually) displayed when Emacs is ready for a command. The
1404 selected window usually displays the current buffer, but this is not
1405 necessarily the case.
1406
1407 Windows are grouped on the screen into frames; each window belongs to
1408 one and only one frame. @xref{Frame Type}.
1409
1410 Windows have no read syntax. They print in hash notation, giving the
1411 window number and the name of the buffer being displayed. The window
1412 numbers exist to identify windows uniquely, since the buffer displayed
1413 in any given window can change frequently.
1414
1415 @example
1416 @group
1417 (selected-window)
1418 @result{} #<window 1 on objects.texi>
1419 @end group
1420 @end example
1421
1422 @xref{Windows}, for a description of the functions that work on windows.
1423
1424 @node Frame Type
1425 @subsection Frame Type
1426
1427 A @dfn{frame} is a rectangle on the screen that contains one or more
1428 Emacs windows. A frame initially contains a single main window (plus
1429 perhaps a minibuffer window) which you can subdivide vertically or
1430 horizontally into smaller windows.
1431
1432 Frames have no read syntax. They print in hash notation, giving the
1433 frame's title, plus its address in core (useful to identify the frame
1434 uniquely).
1435
1436 @example
1437 @group
1438 (selected-frame)
1439 @result{} #<frame emacs@@psilocin.gnu.org 0xdac80>
1440 @end group
1441 @end example
1442
1443 @xref{Frames}, for a description of the functions that work on frames.
1444
1445 @node Window Configuration Type
1446 @subsection Window Configuration Type
1447 @cindex screen layout
1448
1449 A @dfn{window configuration} stores information about the positions,
1450 sizes, and contents of the windows in a frame, so you can recreate the
1451 same arrangement of windows later.
1452
1453 Window configurations do not have a read syntax; their print syntax
1454 looks like @samp{#<window-configuration>}. @xref{Window
1455 Configurations}, for a description of several functions related to
1456 window configurations.
1457
1458 @node Frame Configuration Type
1459 @subsection Frame Configuration Type
1460 @cindex screen layout
1461
1462 A @dfn{frame configuration} stores information about the positions,
1463 sizes, and contents of the windows in all frames. It is actually
1464 a list whose @sc{car} is @code{frame-configuration} and whose
1465 @sc{cdr} is an alist. Each alist element describes one frame,
1466 which appears as the @sc{car} of that element.
1467
1468 @xref{Frame Configurations}, for a description of several functions
1469 related to frame configurations.
1470
1471 @node Process Type
1472 @subsection Process Type
1473
1474 The word @dfn{process} usually means a running program. Emacs itself
1475 runs in a process of this sort. However, in Emacs Lisp, a process is a
1476 Lisp object that designates a subprocess created by the Emacs process.
1477 Programs such as shells, GDB, ftp, and compilers, running in
1478 subprocesses of Emacs, extend the capabilities of Emacs.
1479
1480 An Emacs subprocess takes textual input from Emacs and returns textual
1481 output to Emacs for further manipulation. Emacs can also send signals
1482 to the subprocess.
1483
1484 Process objects have no read syntax. They print in hash notation,
1485 giving the name of the process:
1486
1487 @example
1488 @group
1489 (process-list)
1490 @result{} (#<process shell>)
1491 @end group
1492 @end example
1493
1494 @xref{Processes}, for information about functions that create, delete,
1495 return information about, send input or signals to, and receive output
1496 from processes.
1497
1498 @node Stream Type
1499 @subsection Stream Type
1500
1501 A @dfn{stream} is an object that can be used as a source or sink for
1502 characters---either to supply characters for input or to accept them as
1503 output. Many different types can be used this way: markers, buffers,
1504 strings, and functions. Most often, input streams (character sources)
1505 obtain characters from the keyboard, a buffer, or a file, and output
1506 streams (character sinks) send characters to a buffer, such as a
1507 @file{*Help*} buffer, or to the echo area.
1508
1509 The object @code{nil}, in addition to its other meanings, may be used
1510 as a stream. It stands for the value of the variable
1511 @code{standard-input} or @code{standard-output}. Also, the object
1512 @code{t} as a stream specifies input using the minibuffer
1513 (@pxref{Minibuffers}) or output in the echo area (@pxref{The Echo
1514 Area}).
1515
1516 Streams have no special printed representation or read syntax, and
1517 print as whatever primitive type they are.
1518
1519 @xref{Read and Print}, for a description of functions
1520 related to streams, including parsing and printing functions.
1521
1522 @node Keymap Type
1523 @subsection Keymap Type
1524
1525 A @dfn{keymap} maps keys typed by the user to commands. This mapping
1526 controls how the user's command input is executed. A keymap is actually
1527 a list whose @sc{car} is the symbol @code{keymap}.
1528
1529 @xref{Keymaps}, for information about creating keymaps, handling prefix
1530 keys, local as well as global keymaps, and changing key bindings.
1531
1532 @node Overlay Type
1533 @subsection Overlay Type
1534
1535 An @dfn{overlay} specifies properties that apply to a part of a
1536 buffer. Each overlay applies to a specified range of the buffer, and
1537 contains a property list (a list whose elements are alternating property
1538 names and values). Overlay properties are used to present parts of the
1539 buffer temporarily in a different display style. Overlays have no read
1540 syntax, and print in hash notation, giving the buffer name and range of
1541 positions.
1542
1543 @xref{Overlays}, for how to create and use overlays.
1544
1545 @node Circular Objects
1546 @section Read Syntax for Circular Objects
1547 @cindex circular structure, read syntax
1548 @cindex shared structure, read syntax
1549 @cindex @samp{#@var{n}=} read syntax
1550 @cindex @samp{#@var{n}#} read syntax
1551
1552 To represent shared or circular structures within a complex of Lisp
1553 objects, you can use the reader constructs @samp{#@var{n}=} and
1554 @samp{#@var{n}#}.
1555
1556 Use @code{#@var{n}=} before an object to label it for later reference;
1557 subsequently, you can use @code{#@var{n}#} to refer the same object in
1558 another place. Here, @var{n} is some integer. For example, here is how
1559 to make a list in which the first element recurs as the third element:
1560
1561 @example
1562 (#1=(a) b #1#)
1563 @end example
1564
1565 @noindent
1566 This differs from ordinary syntax such as this
1567
1568 @example
1569 ((a) b (a))
1570 @end example
1571
1572 @noindent
1573 which would result in a list whose first and third elements
1574 look alike but are not the same Lisp object. This shows the difference:
1575
1576 @example
1577 (prog1 nil
1578 (setq x '(#1=(a) b #1#)))
1579 (eq (nth 0 x) (nth 2 x))
1580 @result{} t
1581 (setq x '((a) b (a)))
1582 (eq (nth 0 x) (nth 2 x))
1583 @result{} nil
1584 @end example
1585
1586 You can also use the same syntax to make a circular structure, which
1587 appears as an ``element'' within itself. Here is an example:
1588
1589 @example
1590 #1=(a #1#)
1591 @end example
1592
1593 @noindent
1594 This makes a list whose second element is the list itself.
1595 Here's how you can see that it really works:
1596
1597 @example
1598 (prog1 nil
1599 (setq x '#1=(a #1#)))
1600 (eq x (cadr x))
1601 @result{} t
1602 @end example
1603
1604 The Lisp printer can produce this syntax to record circular and shared
1605 structure in a Lisp object, if you bind the variable @code{print-circle}
1606 to a non-@code{nil} value. @xref{Output Variables}.
1607
1608 @node Type Predicates
1609 @section Type Predicates
1610 @cindex predicates
1611 @cindex type checking
1612 @kindex wrong-type-argument
1613
1614 The Emacs Lisp interpreter itself does not perform type checking on
1615 the actual arguments passed to functions when they are called. It could
1616 not do so, since function arguments in Lisp do not have declared data
1617 types, as they do in other programming languages. It is therefore up to
1618 the individual function to test whether each actual argument belongs to
1619 a type that the function can use.
1620
1621 All built-in functions do check the types of their actual arguments
1622 when appropriate, and signal a @code{wrong-type-argument} error if an
1623 argument is of the wrong type. For example, here is what happens if you
1624 pass an argument to @code{+} that it cannot handle:
1625
1626 @example
1627 @group
1628 (+ 2 'a)
1629 @error{} Wrong type argument: number-or-marker-p, a
1630 @end group
1631 @end example
1632
1633 @cindex type predicates
1634 @cindex testing types
1635 If you want your program to handle different types differently, you
1636 must do explicit type checking. The most common way to check the type
1637 of an object is to call a @dfn{type predicate} function. Emacs has a
1638 type predicate for each type, as well as some predicates for
1639 combinations of types.
1640
1641 A type predicate function takes one argument; it returns @code{t} if
1642 the argument belongs to the appropriate type, and @code{nil} otherwise.
1643 Following a general Lisp convention for predicate functions, most type
1644 predicates' names end with @samp{p}.
1645
1646 Here is an example which uses the predicates @code{listp} to check for
1647 a list and @code{symbolp} to check for a symbol.
1648
1649 @example
1650 (defun add-on (x)
1651 (cond ((symbolp x)
1652 ;; If X is a symbol, put it on LIST.
1653 (setq list (cons x list)))
1654 ((listp x)
1655 ;; If X is a list, add its elements to LIST.
1656 (setq list (append x list)))
1657 (t
1658 ;; We handle only symbols and lists.
1659 (error "Invalid argument %s in add-on" x))))
1660 @end example
1661
1662 Here is a table of predefined type predicates, in alphabetical order,
1663 with references to further information.
1664
1665 @table @code
1666 @item atom
1667 @xref{List-related Predicates, atom}.
1668
1669 @item arrayp
1670 @xref{Array Functions, arrayp}.
1671
1672 @item bool-vector-p
1673 @xref{Bool-Vectors, bool-vector-p}.
1674
1675 @item bufferp
1676 @xref{Buffer Basics, bufferp}.
1677
1678 @item byte-code-function-p
1679 @xref{Byte-Code Type, byte-code-function-p}.
1680
1681 @item case-table-p
1682 @xref{Case Tables, case-table-p}.
1683
1684 @item char-or-string-p
1685 @xref{Predicates for Strings, char-or-string-p}.
1686
1687 @item char-table-p
1688 @xref{Char-Tables, char-table-p}.
1689
1690 @item commandp
1691 @xref{Interactive Call, commandp}.
1692
1693 @item consp
1694 @xref{List-related Predicates, consp}.
1695
1696 @item display-table-p
1697 @xref{Display Tables, display-table-p}.
1698
1699 @item floatp
1700 @xref{Predicates on Numbers, floatp}.
1701
1702 @item frame-configuration-p
1703 @xref{Frame Configurations, frame-configuration-p}.
1704
1705 @item frame-live-p
1706 @xref{Deleting Frames, frame-live-p}.
1707
1708 @item framep
1709 @xref{Frames, framep}.
1710
1711 @item functionp
1712 @xref{Functions, functionp}.
1713
1714 @item hash-table-p
1715 @xref{Other Hash, hash-table-p}.
1716
1717 @item integer-or-marker-p
1718 @xref{Predicates on Markers, integer-or-marker-p}.
1719
1720 @item integerp
1721 @xref{Predicates on Numbers, integerp}.
1722
1723 @item keymapp
1724 @xref{Creating Keymaps, keymapp}.
1725
1726 @item keywordp
1727 @xref{Constant Variables}.
1728
1729 @item listp
1730 @xref{List-related Predicates, listp}.
1731
1732 @item markerp
1733 @xref{Predicates on Markers, markerp}.
1734
1735 @item wholenump
1736 @xref{Predicates on Numbers, wholenump}.
1737
1738 @item nlistp
1739 @xref{List-related Predicates, nlistp}.
1740
1741 @item numberp
1742 @xref{Predicates on Numbers, numberp}.
1743
1744 @item number-or-marker-p
1745 @xref{Predicates on Markers, number-or-marker-p}.
1746
1747 @item overlayp
1748 @xref{Overlays, overlayp}.
1749
1750 @item processp
1751 @xref{Processes, processp}.
1752
1753 @item sequencep
1754 @xref{Sequence Functions, sequencep}.
1755
1756 @item stringp
1757 @xref{Predicates for Strings, stringp}.
1758
1759 @item subrp
1760 @xref{Function Cells, subrp}.
1761
1762 @item symbolp
1763 @xref{Symbols, symbolp}.
1764
1765 @item syntax-table-p
1766 @xref{Syntax Tables, syntax-table-p}.
1767
1768 @item user-variable-p
1769 @xref{Defining Variables, user-variable-p}.
1770
1771 @item vectorp
1772 @xref{Vectors, vectorp}.
1773
1774 @item window-configuration-p
1775 @xref{Window Configurations, window-configuration-p}.
1776
1777 @item window-live-p
1778 @xref{Deleting Windows, window-live-p}.
1779
1780 @item windowp
1781 @xref{Basic Windows, windowp}.
1782 @end table
1783
1784 The most general way to check the type of an object is to call the
1785 function @code{type-of}. Recall that each object belongs to one and
1786 only one primitive type; @code{type-of} tells you which one (@pxref{Lisp
1787 Data Types}). But @code{type-of} knows nothing about non-primitive
1788 types. In most cases, it is more convenient to use type predicates than
1789 @code{type-of}.
1790
1791 @defun type-of object
1792 This function returns a symbol naming the primitive type of
1793 @var{object}. The value is one of the symbols @code{symbol},
1794 @code{integer}, @code{float}, @code{string}, @code{cons}, @code{vector},
1795 @code{char-table}, @code{bool-vector}, @code{hash-table}, @code{subr},
1796 @code{compiled-function}, @code{marker}, @code{overlay}, @code{window},
1797 @code{buffer}, @code{frame}, @code{process}, or
1798 @code{window-configuration}.
1799
1800 @example
1801 (type-of 1)
1802 @result{} integer
1803 (type-of 'nil)
1804 @result{} symbol
1805 (type-of '()) ; @r{@code{()} is @code{nil}.}
1806 @result{} symbol
1807 (type-of '(x))
1808 @result{} cons
1809 @end example
1810 @end defun
1811
1812 @node Equality Predicates
1813 @section Equality Predicates
1814 @cindex equality
1815
1816 Here we describe two functions that test for equality between any two
1817 objects. Other functions test equality between objects of specific
1818 types, e.g., strings. For these predicates, see the appropriate chapter
1819 describing the data type.
1820
1821 @defun eq object1 object2
1822 This function returns @code{t} if @var{object1} and @var{object2} are
1823 the same object, @code{nil} otherwise. The ``same object'' means that a
1824 change in one will be reflected by the same change in the other.
1825
1826 @code{eq} returns @code{t} if @var{object1} and @var{object2} are
1827 integers with the same value. Also, since symbol names are normally
1828 unique, if the arguments are symbols with the same name, they are
1829 @code{eq}. For other types (e.g., lists, vectors, strings), two
1830 arguments with the same contents or elements are not necessarily
1831 @code{eq} to each other: they are @code{eq} only if they are the same
1832 object.
1833
1834 @example
1835 @group
1836 (eq 'foo 'foo)
1837 @result{} t
1838 @end group
1839
1840 @group
1841 (eq 456 456)
1842 @result{} t
1843 @end group
1844
1845 @group
1846 (eq "asdf" "asdf")
1847 @result{} nil
1848 @end group
1849
1850 @group
1851 (eq '(1 (2 (3))) '(1 (2 (3))))
1852 @result{} nil
1853 @end group
1854
1855 @group
1856 (setq foo '(1 (2 (3))))
1857 @result{} (1 (2 (3)))
1858 (eq foo foo)
1859 @result{} t
1860 (eq foo '(1 (2 (3))))
1861 @result{} nil
1862 @end group
1863
1864 @group
1865 (eq [(1 2) 3] [(1 2) 3])
1866 @result{} nil
1867 @end group
1868
1869 @group
1870 (eq (point-marker) (point-marker))
1871 @result{} nil
1872 @end group
1873 @end example
1874
1875 The @code{make-symbol} function returns an uninterned symbol, distinct
1876 from the symbol that is used if you write the name in a Lisp expression.
1877 Distinct symbols with the same name are not @code{eq}. @xref{Creating
1878 Symbols}.
1879
1880 @example
1881 @group
1882 (eq (make-symbol "foo") 'foo)
1883 @result{} nil
1884 @end group
1885 @end example
1886 @end defun
1887
1888 @defun equal object1 object2
1889 This function returns @code{t} if @var{object1} and @var{object2} have
1890 equal components, @code{nil} otherwise. Whereas @code{eq} tests if its
1891 arguments are the same object, @code{equal} looks inside nonidentical
1892 arguments to see if their elements or contents are the same. So, if two
1893 objects are @code{eq}, they are @code{equal}, but the converse is not
1894 always true.
1895
1896 @example
1897 @group
1898 (equal 'foo 'foo)
1899 @result{} t
1900 @end group
1901
1902 @group
1903 (equal 456 456)
1904 @result{} t
1905 @end group
1906
1907 @group
1908 (equal "asdf" "asdf")
1909 @result{} t
1910 @end group
1911 @group
1912 (eq "asdf" "asdf")
1913 @result{} nil
1914 @end group
1915
1916 @group
1917 (equal '(1 (2 (3))) '(1 (2 (3))))
1918 @result{} t
1919 @end group
1920 @group
1921 (eq '(1 (2 (3))) '(1 (2 (3))))
1922 @result{} nil
1923 @end group
1924
1925 @group
1926 (equal [(1 2) 3] [(1 2) 3])
1927 @result{} t
1928 @end group
1929 @group
1930 (eq [(1 2) 3] [(1 2) 3])
1931 @result{} nil
1932 @end group
1933
1934 @group
1935 (equal (point-marker) (point-marker))
1936 @result{} t
1937 @end group
1938
1939 @group
1940 (eq (point-marker) (point-marker))
1941 @result{} nil
1942 @end group
1943 @end example
1944
1945 Comparison of strings is case-sensitive, but does not take account of
1946 text properties---it compares only the characters in the strings. For
1947 technical reasons, a unibyte string and a multibyte string are
1948 @code{equal} if and only if they contain the same sequence of
1949 character codes and all these codes are either in the range 0 through
1950 127 (@acronym{ASCII}) or 160 through 255 (@code{eight-bit-graphic}).
1951 (@pxref{Text Representations}).
1952
1953 @example
1954 @group
1955 (equal "asdf" "ASDF")
1956 @result{} nil
1957 @end group
1958 @end example
1959
1960 However, two distinct buffers are never considered @code{equal}, even if
1961 their textual contents are the same.
1962 @end defun
1963
1964 The test for equality is implemented recursively; for example, given
1965 two cons cells @var{x} and @var{y}, @code{(equal @var{x} @var{y})}
1966 returns @code{t} if and only if both the expressions below return
1967 @code{t}:
1968
1969 @example
1970 (equal (car @var{x}) (car @var{y}))
1971 (equal (cdr @var{x}) (cdr @var{y}))
1972 @end example
1973
1974 Because of this recursive method, circular lists may therefore cause
1975 infinite recursion (leading to an error).
1976
1977 @ignore
1978 arch-tag: 9711a66e-4749-4265-9e8c-972d55b67096
1979 @end ignore