@c -*- mode: texinfo; coding: utf-8 -*-
@c This is part of the GNU Emacs Lisp Reference Manual.
@c Copyright (C) 1990--1995, 1998--1999, 2001--2024 Free Software
@c Foundation, Inc.
@c See the file elisp.texi for copying conditions.
@node Lisp Data Types
@chapter Lisp Data Types
@cindex object
@cindex Lisp object
@cindex type
@cindex data type

  A Lisp @dfn{object} is a piece of data used and manipulated by Lisp
programs.  For our purposes, a @dfn{type} or @dfn{data type} is a set of
possible objects.

  Every object belongs to at least one type.  Objects of the same type
have similar structures and may usually be used in the same contexts.
Types can overlap, and objects can belong to two or more types.
Consequently, we can ask whether an object belongs to a particular type,
but not for @emph{the} type of an object.

@cindex primitive type
  A few fundamental object types are built into Emacs.  These, from
which all other types are constructed, are called @dfn{primitive types}.
Each object belongs to one and only one primitive type.  These types
include @dfn{integer}, @dfn{float}, @dfn{cons}, @dfn{symbol},
@dfn{string}, @dfn{vector}, @dfn{hash-table}, @dfn{subr},
@dfn{byte-code function}, and @dfn{record}, plus several special
types, such as @dfn{buffer}, that are related to editing.
(@xref{Editing Types}.)

  Each primitive type has a corresponding Lisp function that checks
whether an object is a member of that type.

  Lisp is unlike many other languages in that its objects are
@dfn{self-typing}: the primitive type of each object is implicit in
the object itself.  For example, if an object is a vector, nothing can
treat it as a number; Lisp knows it is a vector, not a number.

  In most languages, the programmer must declare the data type of each
variable, and the type is known by the compiler but not represented in
the data.  Such type declarations do not exist in Emacs Lisp.  A Lisp
variable can have any type of value, and it remembers whatever value
you store in it, type and all.  (Actually, a small number of Emacs
Lisp variables can only take on values of a certain type.
@xref{Variables with Restricted Values}.)

  This chapter describes the purpose, printed representation, and read
syntax of each of the standard types in GNU Emacs Lisp.  Details on how
to use these types can be found in later chapters.

@menu
* Printed Representation::      How Lisp objects are represented as text.
* Special Read Syntax::         An overview of all the special sequences.
* Comments::                    Comments and their formatting conventions.
* Programming Types::           Types found in all Lisp systems.
* Editing Types::               Types specific to Emacs.
* Circular Objects::            Read syntax for circular structure.
* Type Predicates::             Tests related to types.
* Equality Predicates::         Tests of equality between any two objects.
* Mutability::                  Some objects should not be modified.
@end menu

@node Printed Representation
@section Printed Representation and Read Syntax
@cindex printed representation
@cindex read syntax

  The @dfn{printed representation} of an object is the format of the
output generated by the Lisp printer (the function @code{prin1}) for
that object.  Every data type has a unique printed representation.
The @dfn{read syntax} of an object is the format of the input accepted
by the Lisp reader (the function @code{read}) for that object.  This
is not necessarily unique; many kinds of object have more than one
syntax.  @xref{Read and Print}.

@cindex hash notation
  In most cases, an object's printed representation is also a read
syntax for the object.  However, some types have no read syntax, since
it does not make sense to enter objects of these types as constants in
a Lisp program.  These objects are printed in @dfn{hash notation},
which consists of the characters @samp{#<}, a descriptive string
(typically the type name followed by the name of the object), and a
closing @samp{>}.  (This is called ``hash notation'' because it begins
with the @samp{#} character, known as ``hash'' or ``number sign'').
For example:

@example
(current-buffer)
     @result{} #<buffer objects.texi>
@end example

@noindent
Hash notation cannot be read at all, so the Lisp reader signals the
error @code{invalid-read-syntax} whenever it encounters @samp{#<}.
@kindex invalid-read-syntax

  We describe the read syntax and the printed representation of each
Lisp data type where we describe that data type, in the following
sections of this chapter.  For example, see @ref{String Type}, and its
subsections for the read syntax and printed representation of strings;
see @ref{Vector Type} for the same information about vectors; etc.

  In other languages, an expression is text; it has no other form.  In
Lisp, an expression is primarily a Lisp object and only secondarily the
text that is the object's read syntax.  Often there is no need to
emphasize this distinction, but you must keep it in the back of your
mind, or you will occasionally be very confused.

  When you evaluate an expression interactively, the Lisp interpreter
first reads the textual representation of it, producing a Lisp object,
and then evaluates that object (@pxref{Evaluation}).  However,
evaluation and reading are separate activities.  Reading returns the
Lisp object represented by the text that is read; the object may or may
not be evaluated later.  @xref{Input Functions}, for a description of
@code{read}, the basic function for reading objects.

@node Special Read Syntax
@section Special Read Syntax
@cindex special read syntax

  Emacs Lisp represents many special objects and constructs via
special hash notations.

@table @samp
@item #<@dots{}>
Objects that have no read syntax are presented like this
(@pxref{Printed Representation}).

@item ##
The printed representation of an interned symbol whose name is an
empty string (@pxref{Symbol Type}).

@item #'
This is a shortcut for @code{function}, see @ref{Anonymous Functions}.

@item #:
The printed representation of an uninterned symbol whose name is
@var{foo} is @samp{#:@var{foo}} (@pxref{Symbol Type}).

@item #N
When printing circular structures, this construct is used to represent
where the structure loops back onto itself, and @samp{N} is the
starting list count:

@lisp
(let ((a (list 1)))
  (setcdr a a))
=> (1 . #0)
@end lisp

@item #N=
@itemx #N#
@samp{#N=} gives the name to an object, and @samp{#N#} represents that
object, so when reading back the object, they will be the same object
instead of copies (@pxref{Circular Objects}).

@item #xN
@samp{N} represented as a hexadecimal number (@samp{#x2a}).

@item #oN
@samp{N} represented as an octal number (@samp{#o52}).

@item #bN
@samp{N} represented as a binary number (@samp{#b101010}).

@item #(@dots{})
String text properties (@pxref{Text Props and Strings}).

@item #^
A char table (@pxref{Char-Table Type}).

@item #s(hash-table @dots{})
A hash table (@pxref{Hash Table Type}).

@item ?C
A character (@pxref{Basic Char Syntax}).

@item #$
The current file name in byte-compiled files (@pxref{Docs and
Compilation}).  This is not meant to be used in Emacs Lisp source
files.

@item #@@N
Skip the next @samp{N} characters (@pxref{Comments}).  This is used in
byte-compiled files, and is not meant to be used in Emacs Lisp source
files.

@item #f
Indicates that the following form isn't readable by the Emacs Lisp
reader.  This is only in text for display purposes (when that would
look prettier than alternative ways of indicating an unreadable form)
and will never appear in any Lisp file.
@end table


@node Comments
@section Comments
@cindex comments
@cindex @samp{;} for commenting

  A @dfn{comment} is text that is written in a program only for the
sake of humans that read the program, and that has no effect on the
meaning of the program.  In Lisp, an unescaped semicolon (@samp{;})
starts a comment if it is not within a string or character constant.
The comment continues to the end of line.  The Lisp reader discards
comments; they do not become part of the Lisp objects which represent
the program within the Lisp system.

  The @samp{#@@@var{count}} construct, which skips the next @var{count}
characters, is useful for program-generated comments containing binary
data.  The Emacs Lisp byte compiler uses this in its output files
(@pxref{Byte Compilation}).  It isn't meant for source files, however.

  @xref{Comment Tips}, for conventions for formatting comments.

@node Programming Types
@section Programming Types
@cindex programming types

  There are two general categories of types in Emacs Lisp: those having
to do with Lisp programming, and those having to do with editing.  The
former exist in many Lisp implementations, in one form or another.  The
latter are unique to Emacs Lisp.

@menu
* Integer Type::        Numbers without fractional parts.
* Floating-Point Type:: Numbers with fractional parts and with a large range.
* Character Type::      The representation of letters, numbers and
                        control characters.
* Symbol Type::         A multi-use object that refers to a function,
                        variable, or property list, and has a unique identity.
* Sequence Type::       Both lists and arrays are classified as sequences.
* Cons Cell Type::      Cons cells, and lists (which are made from cons cells).
* Array Type::          Arrays include strings and vectors.
* String Type::         An (efficient) array of characters.
* Vector Type::         One-dimensional arrays.
* Char-Table Type::     One-dimensional sparse arrays indexed by characters.
* Bool-Vector Type::    One-dimensional arrays of @code{t} or @code{nil}.
* Hash Table Type::     Super-fast lookup tables.
* Function Type::       A piece of executable code you can call from elsewhere.
* Macro Type::          A method of expanding an expression into another
                          expression, more fundamental but less pretty.
* Primitive Function Type::     A function written in C, callable from Lisp.
* Byte-Code Type::      A function written in Lisp, then compiled.
* Record Type::         Compound objects with programmer-defined types.
* Type Descriptors::    Objects holding information about types.
* Autoload Type::       A type used for automatically loading seldom-used
                        functions.
* Finalizer Type::      Runs code when no longer reachable.

@end menu

@node Integer Type
@subsection Integer Type

  Under the hood, there are two kinds of integers---small integers,
called @dfn{fixnums}, and large integers, called @dfn{bignums}.

  The range of values for a fixnum depends on the machine.  The
minimum range is @minus{}536,870,912 to 536,870,911 (30 bits; i.e.,
@ifnottex
@minus{}2**29
@end ifnottex
@tex
@math{-2^{29}}
@end tex
to
@ifnottex
2**29 @minus{} 1)
@end ifnottex
@tex
@math{2^{29}-1})
@end tex
but many machines provide a wider range.

  Bignums can have arbitrary precision.  Operations that overflow a
fixnum will return a bignum instead.

  All numbers can be compared with @code{eql} or @code{=}; fixnums can
also be compared with @code{eq}.  To test whether an integer is a fixnum or a
bignum, you can compare it to @code{most-negative-fixnum} and
@code{most-positive-fixnum}, or you can use the convenience predicates
@code{fixnump} and @code{bignump} on any object.

  The read syntax for integers is a sequence of (base ten) digits with an
optional sign at the beginning and an optional period at the end.  The
printed representation produced by the Lisp interpreter never has a
leading @samp{+} or a final @samp{.}.

@example
@group
-1               ; @r{The integer @minus{}1.}
1                ; @r{The integer 1.}
1.               ; @r{Also the integer 1.}
+1               ; @r{Also the integer 1.}
@end group
@end example

@noindent

  @xref{Numbers}, for more information.

@node Floating-Point Type
@subsection Floating-Point Type

  Floating-point numbers are the computer equivalent of scientific
notation; you can think of a floating-point number as a fraction
together with a power of ten.  The precise number of significant
figures and the range of possible exponents is machine-specific; Emacs
uses the C data type @code{double} to store the value, and internally
this records a power of 2 rather than a power of 10.

  The printed representation for floating-point numbers requires either
a decimal point (with at least one digit following), an exponent, or
both.  For example, @samp{1500.0}, @samp{+15e2}, @samp{15.0e+2},
@samp{+1500000e-3}, and @samp{.15e4} are five ways of writing a floating-point
number whose value is 1500.  They are all equivalent.

  @xref{Numbers}, for more information.

@node Character Type
@subsection Character Type
@cindex @acronym{ASCII} character codes

  A @dfn{character} in Emacs Lisp is nothing more than an integer.  In
other words, characters are represented by their character codes.  For
example, the character @kbd{A} is represented as the @w{integer 65}.
That is also their usual printed representation; see @ref{Basic Char
Syntax}.

  Individual characters are used occasionally in programs, but it is
more common to work with @emph{strings}, which are sequences composed
of characters.  @xref{String Type}.

  Characters in strings and buffers are currently limited to the range
of 0 to 4194303---twenty two bits (@pxref{Character Codes}).  Codes 0
through 127 are @acronym{ASCII} codes; the rest are
non-@acronym{ASCII} (@pxref{Non-ASCII Characters}).  Characters that
represent keyboard input have a much wider range, to encode modifier
keys such as Control, Meta and Shift.

  There are special functions for producing a human-readable textual
description of a character for the sake of messages.  @xref{Describing
Characters}.

@menu
* Basic Char Syntax::      Syntax for regular characters.
* General Escape Syntax::  How to specify characters by their codes.
* Ctl-Char Syntax::        Syntax for control characters.
* Meta-Char Syntax::       Syntax for meta-characters.
* Other Char Bits::        Syntax for hyper-, super-, and alt-characters.
@end menu

@node Basic Char Syntax
@subsubsection Basic Char Syntax
@cindex read syntax for characters
@cindex printed representation for characters
@cindex syntax for characters
@cindex @samp{?} in character constant
@cindex question mark in character constant

  Since characters are really integers, the printed representation of
a character is a decimal number.  This is also a possible read syntax
for a character, but writing characters that way in Lisp programs is
not clear programming.  You should @emph{always} use the special read
syntax formats that Emacs Lisp provides for characters.  These syntax
formats start with a question mark.

  The usual read syntax for alphanumeric characters is a question mark
followed by the character; thus, @samp{?A} for the character
@kbd{A}, @samp{?B} for the character @kbd{B}, and @samp{?a} for the
character @kbd{a}.

  For example:

@example
?Q @result{} 81     ?q @result{} 113
@end example

  You can use the same syntax for punctuation characters.  However, if
the punctuation character has a special syntactic meaning in Lisp, you
must quote it with a @samp{\}.  For example, @samp{?\(} is the way to
write the open-paren character.  Likewise, if the character is
@samp{\}, you must use a second @samp{\} to quote it: @samp{?\\}.

@cindex whitespace
@cindex bell character
@cindex @samp{\a}
@cindex backspace
@cindex @samp{\b}
@cindex tab (ASCII character)
@cindex @samp{\t}
@cindex vertical tab
@cindex @samp{\v}
@cindex formfeed
@cindex @samp{\f}
@cindex newline
@cindex @samp{\n}
@cindex return (ASCII character)
@cindex @samp{\r}
@cindex escape (ASCII character)
@cindex @samp{\e}
@cindex space (ASCII character)
@cindex @samp{\s}
  You can express the characters control-g, backspace, tab, newline,
vertical tab, formfeed, space, return, del, and escape as @samp{?\a},
@samp{?\b}, @samp{?\t}, @samp{?\n}, @samp{?\v}, @samp{?\f},
@samp{?\s}, @samp{?\r}, @samp{?\d}, and @samp{?\e}, respectively.
(@samp{?\s} followed by a dash has a different meaning---it applies
the Super modifier to the following character.)  Thus,

@example
?\a @result{} 7                 ; @r{control-g, @kbd{C-g}}
?\b @result{} 8                 ; @r{backspace, @key{BS}, @kbd{C-h}}
?\t @result{} 9                 ; @r{tab, @key{TAB}, @kbd{C-i}}
?\n @result{} 10                ; @r{newline, @kbd{C-j}}
?\v @result{} 11                ; @r{vertical tab, @kbd{C-k}}
?\f @result{} 12                ; @r{formfeed character, @kbd{C-l}}
?\r @result{} 13                ; @r{carriage return, @key{RET}, @kbd{C-m}}
?\e @result{} 27                ; @r{escape character, @key{ESC}, @kbd{C-[}}
?\s @result{} 32                ; @r{space character, @key{SPC}}
?\\ @result{} 92                ; @r{backslash character, @kbd{\}}
?\d @result{} 127               ; @r{delete character, @key{DEL}}
@end example

@cindex escape sequence
  These sequences which start with backslash are also known as
@dfn{escape sequences}, because backslash plays the role of an
escape character; this has nothing to do with the
character @key{ESC}.  @samp{\s} is meant for use in character
constants; in string constants, just write the space.

  A backslash is allowed, and harmless, preceding any character
without a special escape meaning; thus, @samp{?\+} is equivalent to
@samp{?+}.  There is no reason to add a backslash before most
characters.  However, you must add a backslash before any of the
characters @samp{()[]\;"}, and you should add a backslash before any
of the characters @samp{|'`#.,} to avoid confusing the Emacs commands
for editing Lisp code.  You should also add a backslash before Unicode
characters which resemble the previously mentioned @acronym{ASCII}
ones, to avoid confusing people reading your code.  Emacs will
highlight some non-escaped commonly confused characters such as
@samp{‘} to encourage this.  You can also add a backslash before whitespace
characters such as space, tab, newline and formfeed.  However, it is
cleaner to use one of the easily readable escape sequences, such as
@samp{\t} or @samp{\s}, instead of an actual whitespace character such
as a tab or a space.  (If you do write backslash followed by a space,
you should write an extra space after the character constant to
separate it from the following text.)

@node General Escape Syntax
@subsubsection General Escape Syntax

  In addition to the specific escape sequences for special important
control characters, Emacs provides several types of escape syntax that
you can use to specify non-@acronym{ASCII} text characters.

@enumerate
@item
@cindex @samp{\} in character constant
@cindex backslash in character constants
@cindex unicode character escape
You can specify characters by their Unicode names, if any.
@code{?\N@{@var{NAME}@}} represents the Unicode character named
@var{NAME}.  Thus, @samp{?\N@{LATIN SMALL LETTER A WITH GRAVE@}} is
equivalent to @code{?à} and denotes the Unicode character U+00E0.  To
simplify entering multi-line strings, you can replace spaces in the
names by non-empty sequences of whitespace (e.g., newlines).

@item
You can specify characters by their Unicode values.
@code{?\N@{U+@var{X}@}} represents a character with Unicode code point
@var{X}, where @var{X} is a hexadecimal number.  Also,
@code{?\u@var{xxxx}} and @code{?\U@var{xxxxxxxx}} represent code
points @var{xxxx} and @var{xxxxxxxx}, respectively, where each @var{x}
is a single hexadecimal digit.  For example, @code{?\N@{U+E0@}},
@code{?\u00e0} and @code{?\U000000E0} are all equivalent to
@code{?@`a} and to @samp{?\N@{LATIN SMALL LETTER A WITH GRAVE@}}.  The
Unicode Standard defines code points only up to @samp{U+@var{10ffff}},
so if you specify a code point higher than that, Emacs signals an
error.

@item
You can specify characters by their hexadecimal character
codes.  A hexadecimal escape sequence consists of a backslash,
@samp{x}, and the hexadecimal character code.  Thus, @samp{?\x41} is
the character @kbd{A}, @samp{?\x1} is the character @kbd{C-a}, and
@code{?\xe0} is the character @kbd{@`a} (@kbd{a} with grave accent).
You can use one or more hex digits after @samp{x}, so you can
represent any character code in this way.

@item
@cindex octal character code
You can specify characters by their character code in
octal.  An octal escape sequence consists of a backslash followed by
up to three octal digits; thus, @samp{?\101} for the character
@kbd{A}, @samp{?\001} for the character @kbd{C-a}, and @code{?\002}
for the character @kbd{C-b}.  Only characters up to octal code 777 can
be specified this way.

@end enumerate

  These escape sequences may also be used in strings.  @xref{Non-ASCII
in Strings}.

@node Ctl-Char Syntax
@subsubsection Control-Character Syntax

@cindex control characters
  Control characters can be represented using yet another read syntax.
This consists of a question mark followed by a backslash, caret, and the
corresponding non-control character, in either upper or lower case.  For
example, both @samp{?\^I} and @samp{?\^i} are valid read syntax for the
character @kbd{C-i}, the character whose value is 9.

  Instead of the @samp{^}, you can use @samp{C-}; thus, @samp{?\C-i} is
equivalent to @samp{?\^I} and to @samp{?\^i}:

@example
?\^I @result{} 9     ?\C-I @result{} 9
@end example

  In strings and buffers, the only control characters allowed are those
that exist in @acronym{ASCII}; but for keyboard input purposes, you can turn
any character into a control character with @samp{C-}.  The character
codes for these non-@acronym{ASCII} control characters include the
@tex
@math{2^{26}}
@end tex
@ifnottex
2**26
@end ifnottex
bit as well as the code for the corresponding non-control character.
Not all text terminals can generate non-@acronym{ASCII} control
characters, but it is straightforward to generate them using X and
other window systems.

  For historical reasons, Emacs treats the @key{DEL} character as
the control equivalent of @kbd{?}:

@example
?\^? @result{} 127     ?\C-? @result{} 127
@end example

@noindent
As a result, it is currently not possible to represent the character
@kbd{Control-?}, which is a meaningful input character under X, using
@samp{\C-}.  It is not easy to change this, as various Lisp files refer
to @key{DEL} in this way.

  For representing control characters to be found in files or strings,
we recommend the @samp{^} syntax; for control characters in keyboard
input, we prefer the @samp{C-} syntax.  Which one you use does not
affect the meaning of the program, but may guide the understanding of
people who read it.

@node Meta-Char Syntax
@subsubsection Meta-Character Syntax

@cindex meta characters
  A @dfn{meta character} is a character typed with the @key{META}
modifier key.  The integer that represents such a character has the
@tex
@math{2^{27}}
@end tex
@ifnottex
2**27
@end ifnottex
bit set.  We use high bits for this and other modifiers to make
possible a wide range of basic character codes.

  In a string, the
@tex
@math{2^{7}}
@end tex
@ifnottex
2**7
@end ifnottex
bit attached to an @acronym{ASCII} character indicates a meta
character; thus, the meta characters that can fit in a string have
codes in the range from 128 to 255, and are the meta versions of the
ordinary @acronym{ASCII} characters.  @xref{Strings of Events}, for
details about @key{META}-handling in strings.

  The read syntax for meta characters uses @samp{\M-}.  For example,
@samp{?\M-A} stands for @kbd{M-A}.  You can use @samp{\M-} together with
octal character codes (see below), with @samp{\C-}, or with any other
syntax for a character.  Thus, you can write @kbd{M-A} as @samp{?\M-A},
or as @samp{?\M-\101}.  Likewise, you can write @kbd{C-M-b} as
@samp{?\M-\C-b}, @samp{?\C-\M-b}, or @samp{?\M-\002}.

@node Other Char Bits
@subsubsection Other Character Modifier Bits

  The case of a graphic character is indicated by its character code;
for example, @acronym{ASCII} distinguishes between the characters @samp{a}
and @samp{A}.  But @acronym{ASCII} has no way to represent whether a control
character is upper case or lower case.  Emacs uses the
@tex
@math{2^{25}}
@end tex
@ifnottex
2**25
@end ifnottex
bit to indicate that the shift key was used in typing a control
character.  This distinction is possible only on a graphical display
such as a GUI display on X; text terminals do not report the
distinction.  The Lisp syntax for the shift bit is @samp{\S-}; thus,
@samp{?\C-\S-o} or @samp{?\C-\S-O} represents the shifted-control-o
character.

@cindex hyper characters
@cindex super characters
@cindex alt characters
  The X Window System defines three other
@anchor{modifier bits}modifier bits that can be set
in a character: @dfn{hyper}, @dfn{super} and @dfn{alt}.  The syntaxes
for these bits are @samp{\H-}, @samp{\s-} and @samp{\A-}.  (Case is
significant in these prefixes.)  Thus, @samp{?\H-\M-\A-x} represents
@kbd{Alt-Hyper-Meta-x}.  (Note that @samp{\s} with no following @samp{-}
represents the space character.)
@tex
Numerically, the bit values are @math{2^{22}} for alt, @math{2^{23}}
for super and @math{2^{24}} for hyper.
@end tex
@ifnottex
Numerically, the
bit values are 2**22 for alt, 2**23 for super and 2**24 for hyper.
@end ifnottex

@node Symbol Type
@subsection Symbol Type

  A @dfn{symbol} in GNU Emacs Lisp is an object with a name.  The
symbol name serves as the printed representation of the symbol.  In
ordinary Lisp use, with one single obarray (@pxref{Creating Symbols}),
a symbol's name is unique---no two symbols have the same name.

  A symbol can serve as a variable, as a function name, or to hold a
property list.  Or it may serve only to be distinct from all other Lisp
objects, so that its presence in a data structure may be recognized
reliably.  In a given context, usually only one of these uses is
intended.  But you can use one symbol in all of these ways,
independently.

  A symbol whose name starts with a colon (@samp{:}) is called a
@dfn{keyword symbol}.  These symbols automatically act as constants,
and are normally used only by comparing an unknown symbol with a few
specific alternatives.  @xref{Constant Variables}.

@cindex @samp{\} in symbols
@cindex backslash in symbols
  A symbol name can contain any characters whatever.  Most symbol names
are written with letters, digits, and the punctuation characters
@samp{-+=*/}.  Such names require no special punctuation; the characters
of the name suffice as long as the name does not look like a number.
(If it does, write a @samp{\} at the beginning of the name to force
interpretation as a symbol.)  The characters @samp{_~!@@$%^&:<>@{@}?} are
less often used but also require no special punctuation.  Any other
characters may be included in a symbol's name by escaping them with a
backslash.  In contrast to its use in strings, however, a backslash in
the name of a symbol simply quotes the single character that follows the
backslash.  For example, in a string, @samp{\t} represents a tab
character; in the name of a symbol, however, @samp{\t} merely quotes the
letter @samp{t}.  To have a symbol with a tab character in its name, you
must actually use a tab (preceded with a backslash).  But it's rare to
do such a thing.

@cindex CL note---case of letters
@quotation
@b{Common Lisp note:} In Common Lisp, lower case letters are always
folded to upper case, unless they are explicitly escaped.  In Emacs
Lisp, upper case and lower case letters are distinct.
@end quotation

  Here are several examples of symbol names.  Note that the @samp{+} in
the fourth example is escaped to prevent it from being read as a number.
This is not necessary in the sixth example because the rest of the name
makes it invalid as a number.

@example
@group
foo                 ; @r{A symbol named @samp{foo}.}
FOO                 ; @r{A symbol named @samp{FOO}, different from @samp{foo}.}
@end group
@group
1+                  ; @r{A symbol named @samp{1+}}
                    ;   @r{(not @samp{+1}, which is an integer).}
@end group
@group
\+1                 ; @r{A symbol named @samp{+1}}
                    ;   @r{(not a very readable name).}
@end group
@group
\(*\ 1\ 2\)         ; @r{A symbol named @samp{(* 1 2)} (a worse name).}
@c the @'s in this next line use up three characters, hence the
@c apparent misalignment of the comment.
+-*/_~!@@$%^&=:<>@{@}  ; @r{A symbol named @samp{+-*/_~!@@$%^&=:<>@{@}}.}
                    ;   @r{These characters need not be escaped.}
@end group
@end example

@cindex @samp{##} read syntax
@ifinfo
@c This uses "colon" instead of a literal ':' because Info cannot
@c cope with a ':' in a menu.
@cindex @samp{#@var{colon}} read syntax
@end ifinfo
@ifnotinfo
@cindex @samp{#:} read syntax
@end ifnotinfo
  As an exception to the rule that a symbol's name serves as its
printed representation, @samp{##} is the printed representation for an
interned symbol whose name is an empty string.  Furthermore,
@samp{#:@var{foo}} is the printed representation for an uninterned
symbol whose name is @var{foo}.  (Normally, the Lisp reader interns
all symbols; @pxref{Creating Symbols}.)

@node Sequence Type
@subsection Sequence Types

  A @dfn{sequence} is a Lisp object that represents an ordered set of
elements.  There are two kinds of sequence in Emacs Lisp: @dfn{lists}
and @dfn{arrays}.

  Lists are the most commonly-used sequences.  A list can hold
elements of any type, and its length can be easily changed by adding
or removing elements.  See the next subsection for more about lists.

  Arrays are fixed-length sequences.  They are further subdivided into
strings, vectors, char-tables and bool-vectors.  Vectors can hold
elements of any type, whereas string elements must be characters, and
bool-vector elements must be @code{t} or @code{nil}.  Char-tables are
like vectors except that they are indexed by any valid character code.
The characters in a string can have text properties like characters in
a buffer (@pxref{Text Properties}), but vectors do not support text
properties, even when their elements happen to be characters.

  Lists, strings and the other array types also share important
similarities.  For example, all have a length @var{l}, and all have
elements which can be indexed from zero to @var{l} minus one.  Several
functions, called sequence functions, accept any kind of sequence.
For example, the function @code{length} reports the length of any kind
of sequence.  @xref{Sequences Arrays Vectors}.

  It is generally impossible to read the same sequence twice, since
sequences are always created anew upon reading.  If you read the read
syntax for a sequence twice, you get two sequences with equal contents.
There is one exception: the empty list @code{()} always stands for the
same object, @code{nil}.

@node Cons Cell Type
@subsection Cons Cell and List Types
@cindex address field of register
@cindex decrement field of register
@cindex pointers

  A @dfn{cons cell} is an object that consists of two slots, called
the @sc{car} slot and the @sc{cdr} slot.  Each slot can @dfn{hold} any
Lisp object.  We also say that the @sc{car} of this cons cell is
whatever object its @sc{car} slot currently holds, and likewise for
the @sc{cdr}.

@cindex list structure
  A @dfn{list} is a series of cons cells, linked together so that the
@sc{cdr} slot of each cons cell holds either the next cons cell or the
empty list.  The empty list is actually the symbol @code{nil}.
@xref{Lists}, for details.  Because most cons cells are used as part
of lists, we refer to any structure made out of cons cells as a
@dfn{list structure}.

@cindex linked list
@quotation
A note to C programmers: a Lisp list thus works as a @dfn{linked list}
built up of cons cells.  Because pointers in Lisp are implicit, we do
not distinguish between a cons cell slot holding a value versus
pointing to the value.
@end quotation

@cindex atoms
  Because cons cells are so central to Lisp, we also have a word for
an object which is not a cons cell.  These objects are called
@dfn{atoms}.

@cindex parenthesis
@cindex @samp{(@dots{})} in lists
  The read syntax and printed representation for lists are identical, and
consist of a left parenthesis, an arbitrary number of elements, and a
right parenthesis.  Here are examples of lists:

@example
(A 2 "A")            ; @r{A list of three elements.}
()                   ; @r{A list of no elements (the empty list).}
nil                  ; @r{A list of no elements (the empty list).}
("A ()")             ; @r{A list of one element: the string @code{"A ()"}.}
(A ())               ; @r{A list of two elements: @code{A} and the empty list.}
(A nil)              ; @r{Equivalent to the previous.}
((A B C))            ; @r{A list of one element}
                     ;   @r{(which is a list of three elements).}
@end example

   Upon reading, each object inside the parentheses becomes an element
of the list.  That is, a cons cell is made for each element.  The
@sc{car} slot of the cons cell holds the element, and its @sc{cdr}
slot refers to the next cons cell of the list, which holds the next
element in the list.  The @sc{cdr} slot of the last cons cell is set to
hold @code{nil}.

  The names @sc{car} and @sc{cdr} derive from the history of Lisp.  The
original Lisp implementation ran on an @w{IBM 704} computer which
divided words into two parts, the address and the
decrement; @sc{car} was an instruction to extract the contents of
the address part of a register, and @sc{cdr} an instruction to extract
the contents of the decrement.  By contrast, cons cells are named
for the function @code{cons} that creates them, which in turn was named
for its purpose, the construction of cells.

@menu
* Box Diagrams::                Drawing pictures of lists.
* Dotted Pair Notation::        A general syntax for cons cells.
* Association List Type::       A specially constructed list.
@end menu

@node Box Diagrams
@subsubsection Drawing Lists as Box Diagrams
@cindex box diagrams, for lists
@cindex diagrams, boxed, for lists

  A list can be illustrated by a diagram in which the cons cells are
shown as pairs of boxes, like dominoes.  (The Lisp reader cannot read
such an illustration; unlike the textual notation, which can be
understood by both humans and computers, the box illustrations can be
understood only by humans.)  This picture represents the three-element
list @code{(rose violet buttercup)}:

@example
@group
    --- ---      --- ---      --- ---
   |   |   |--> |   |   |--> |   |   |--> nil
    --- ---      --- ---      --- ---
     |            |            |
     |            |            |
      --> rose     --> violet   --> buttercup
@end group
@end example

  In this diagram, each box represents a slot that can hold or refer to
any Lisp object.  Each pair of boxes represents a cons cell.  Each arrow
represents a reference to a Lisp object, either an atom or another cons
cell.

  In this example, the first box, which holds the @sc{car} of the first
cons cell, refers to or holds @code{rose} (a symbol).  The second
box, holding the @sc{cdr} of the first cons cell, refers to the next
pair of boxes, the second cons cell.  The @sc{car} of the second cons
cell is @code{violet}, and its @sc{cdr} is the third cons cell.  The
@sc{cdr} of the third (and last) cons cell is @code{nil}.

  Here is another diagram of the same list, @code{(rose violet
buttercup)}, sketched in a different manner:

@smallexample
@group
 ---------------       ----------------       -------------------
| car   | cdr   |     | car    | cdr   |     | car       | cdr   |
| rose  |   o-------->| violet |   o-------->| buttercup |  nil  |
|       |       |     |        |       |     |           |       |
 ---------------       ----------------       -------------------
@end group
@end smallexample

@cindex @code{nil} as a list
@cindex empty list
  A list with no elements in it is the @dfn{empty list}; it is identical
to the symbol @code{nil}.  In other words, @code{nil} is both a symbol
and a list.

  Here is the list @code{(A ())}, or equivalently @code{(A nil)},
depicted with boxes and arrows:

@example
@group
    --- ---      --- ---
   |   |   |--> |   |   |--> nil
    --- ---      --- ---
     |            |
     |            |
      --> A        --> nil
@end group
@end example

  Here is a more complex illustration, showing the three-element list,
@code{((pine needles) oak maple)}, the first element of which is a
two-element list:

@example
@group
    --- ---      --- ---      --- ---
   |   |   |--> |   |   |--> |   |   |--> nil
    --- ---      --- ---      --- ---
     |            |            |
     |            |            |
     |             --> oak      --> maple
     |
     |     --- ---      --- ---
      --> |   |   |--> |   |   |--> nil
           --- ---      --- ---
            |            |
            |            |
             --> pine     --> needles
@end group
@end example

  The same list represented in the second box notation looks like this:

@example
@group
 --------------       --------------       --------------
| car   | cdr  |     | car   | cdr  |     | car   | cdr  |
|   o   |   o------->| oak   |   o------->| maple |  nil |
|   |   |      |     |       |      |     |       |      |
 -- | ---------       --------------       --------------
    |
    |
    |        --------------       ----------------
    |       | car   | cdr  |     | car     | cdr  |
     ------>| pine  |   o------->| needles |  nil |
            |       |      |     |         |      |
             --------------       ----------------
@end group
@end example

@node Dotted Pair Notation
@subsubsection Dotted Pair Notation
@cindex dotted pair notation
@cindex @samp{.} in lists

  @dfn{Dotted pair notation} is a general syntax for cons cells that
represents the @sc{car} and @sc{cdr} explicitly.  In this syntax,
@code{(@var{a} .@: @var{b})} stands for a cons cell whose @sc{car} is
the object @var{a} and whose @sc{cdr} is the object @var{b}.  Dotted
pair notation is more general than list syntax because the @sc{cdr}
does not have to be a list.  However, it is more cumbersome in cases
where list syntax would work.  In dotted pair notation, the list
@samp{(1 2 3)} is written as @samp{(1 .  (2 . (3 . nil)))}.  For
@code{nil}-terminated lists, you can use either notation, but list
notation is usually clearer and more convenient.  When printing a
list, the dotted pair notation is only used if the @sc{cdr} of a cons
cell is not a list.

  Here's an example using boxes to illustrate dotted pair notation.
This example shows the pair @code{(rose . violet)}:

@example
@group
    --- ---
   |   |   |--> violet
    --- ---
     |
     |
      --> rose
@end group
@end example

  You can combine dotted pair notation with list notation to represent
conveniently a chain of cons cells with a non-@code{nil} final @sc{cdr}.
You write a dot after the last element of the list, followed by the
@sc{cdr} of the final cons cell.  For example, @code{(rose violet
. buttercup)} is equivalent to @code{(rose . (violet . buttercup))}.
The object looks like this:

@example
@group
    --- ---      --- ---
   |   |   |--> |   |   |--> buttercup
    --- ---      --- ---
     |            |
     |            |
      --> rose     --> violet
@end group
@end example

  The syntax @code{(rose .@: violet .@: buttercup)} is invalid because
there is nothing that it could mean.  If anything, it would say to put
@code{buttercup} in the @sc{cdr} of a cons cell whose @sc{cdr} is already
used for @code{violet}.

  The list @code{(rose violet)} is equivalent to @code{(rose . (violet))},
and looks like this:

@example
@group
    --- ---      --- ---
   |   |   |--> |   |   |--> nil
    --- ---      --- ---
     |            |
     |            |
      --> rose     --> violet
@end group
@end example

  Similarly, the three-element list @code{(rose violet buttercup)}
is equivalent to @code{(rose . (violet . (buttercup)))}.
@ifnottex
It looks like this:

@example
@group
    --- ---      --- ---      --- ---
   |   |   |--> |   |   |--> |   |   |--> nil
    --- ---      --- ---      --- ---
     |            |            |
     |            |            |
      --> rose     --> violet   --> buttercup
@end group
@end example
@end ifnottex

@node Association List Type
@subsubsection Association List Type

  An @dfn{association list} or @dfn{alist} is a specially-constructed
list whose elements are cons cells.  In each element, the @sc{car} is
considered a @dfn{key}, and the @sc{cdr} is considered an
@dfn{associated value}.  (In some cases, the associated value is stored
in the @sc{car} of the @sc{cdr}.)  Association lists are often used as
stacks, since it is easy to add or remove associations at the front of
the list.

  For example,

@example
(setq alist-of-colors
      '((rose . red) (lily . white) (buttercup . yellow)))
@end example

@noindent
sets the variable @code{alist-of-colors} to an alist of three elements.  In the
first element, @code{rose} is the key and @code{red} is the value.

  @xref{Association Lists}, for a further explanation of alists and for
functions that work on alists.  @xref{Hash Tables}, for another kind of
lookup table, which is much faster for handling a large number of keys.

@node Array Type
@subsection Array Type

  An @dfn{array} is composed of an arbitrary number of slots for
holding or referring to other Lisp objects, arranged in a contiguous block of
memory.  Accessing any element of an array takes approximately the same
amount of time.  In contrast, accessing an element of a list requires
time proportional to the position of the element in the list.  (Elements
at the end of a list take longer to access than elements at the
beginning of a list.)

  Emacs defines four types of array: strings, vectors, bool-vectors, and
char-tables.

  A string is an array of characters and a vector is an array of
arbitrary objects.  A bool-vector can hold only @code{t} or @code{nil}.
These kinds of array may have any length up to the largest fixnum,
subject to system architecture limits and available memory.
Char-tables are sparse arrays indexed by any valid character code; they
can hold arbitrary objects.

  The first element of an array has index zero, the second element has
index 1, and so on.  This is called @dfn{zero-origin} indexing.  For
example, an array of four elements has indices 0, 1, 2, @w{and 3}.  The
largest possible index value is one less than the length of the array.
Once an array is created, its length is fixed.

  All Emacs Lisp arrays are one-dimensional.  (Most other programming
languages support multidimensional arrays, but they are not essential;
you can get the same effect with nested one-dimensional arrays.)  Each
type of array has its own read syntax; see the following sections for
details.

  The array type is a subset of the sequence type, and contains the
string type, the vector type, the bool-vector type, and the char-table
type.

@node String Type
@subsection String Type

  A @dfn{string} is an array of characters.  Strings are used for many
purposes in Emacs, as can be expected in a text editor; for example, as
the names of Lisp symbols, as messages for the user, and to represent
text extracted from buffers.  Strings in Lisp are constants: evaluation
of a string returns the same string.

  @xref{Strings and Characters}, for functions that operate on strings.

@menu
* Syntax for Strings::      How to specify Lisp strings.
* Non-ASCII in Strings::    International characters in strings.
* Nonprinting Characters::  Literal unprintable characters in strings.
* Text Props and Strings::  Strings with text properties.
@end menu

@node Syntax for Strings
@subsubsection Syntax for Strings

@cindex @samp{"} in strings
@cindex double-quote in strings
@cindex @samp{\} in strings
@cindex backslash in strings
  The read syntax for a string is a double-quote, an arbitrary number
of characters, and another double-quote, @code{"like this"}.  To
include a double-quote in a string, precede it with a backslash; thus,
@code{"\""} is a string containing just one double-quote
character.  Likewise, you can include a backslash by preceding it with
another backslash, like this: @code{"this \\ is a single embedded
backslash"}.

  Since a string is an array of characters, you can specify the string
characters using the read syntax of characters, but without the
leading question mark.  This is useful for including in string
constants characters that don't stand for themselves.  Thus, control
characters can be specified as escape sequences that start with a
backslash; for example, @code{"foo\r"} yields @samp{foo} followed by
the carriage return character.  @xref{Basic Char Syntax}, for escape
sequences of other control characters.  Similarly, you can use the
special read syntax for control characters (@pxref{Ctl-Char Syntax}),
as in @code{"foo\^Ibar"}, which produces a tab character embedded
within a string.  You can also use the escape sequences for non-ASCII
characters described in @ref{General Escape Syntax}, as in
@w{@code{"\N@{LATIN SMALL LETTER A WITH GRAVE@}"}} and @code{"\u00e0"}
(however, see a caveat with non-ASCII characters in @ref{Non-ASCII in
Strings}).

@cindex newline in strings
  The newline character is not special in the read syntax for strings;
if you write a new line between the double-quotes, it becomes a
character in the string.  But an escaped newline---one that is preceded
by @samp{\}---does not become part of the string; i.e., the Lisp reader
ignores an escaped newline while reading a string.  An escaped space
@w{@samp{\ }} is likewise ignored.

@example
"It is useful to include newlines
in documentation strings,
but the newline is \
ignored if escaped."
     @result{} "It is useful to include newlines
in documentation strings,
but the newline is ignored if escaped."
@end example

@node Non-ASCII in Strings
@subsubsection Non-@acronym{ASCII} Characters in Strings

  There are two text representations for non-@acronym{ASCII}
characters in Emacs strings: multibyte and unibyte (@pxref{Text
Representations}).  Roughly speaking, unibyte strings store raw bytes,
while multibyte strings store human-readable text.  Each character in
a unibyte string is a byte, i.e., its value is between 0 and 255.  By
contrast, each character in a multibyte string may have a value
between 0 to 4194303 (@pxref{Character Type}).  In both cases,
characters above 127 are non-@acronym{ASCII}.

  You can include a non-@acronym{ASCII} character in a string constant
by writing it literally.  If the string constant is read from a
multibyte source, such as a multibyte buffer or string, or a file that
would be visited as multibyte, then Emacs reads each
non-@acronym{ASCII} character as a multibyte character and
automatically makes the string a multibyte string.  If the string
constant is read from a unibyte source, then Emacs reads the
non-@acronym{ASCII} character as unibyte, and makes the string
unibyte.

  Instead of writing a character literally into a multibyte string,
you can write it as its character code using an escape sequence.
@xref{General Escape Syntax}, for details about escape sequences.

  If you use any Unicode-style escape sequence @samp{\uNNNN} or
@samp{\U00NNNNNN} in a string constant (even for an @acronym{ASCII}
character), Emacs automatically assumes that it is multibyte.

  You can also use hexadecimal escape sequences (@samp{\x@var{n}}) and
octal escape sequences (@samp{\@var{n}}) in string constants.
@strong{But beware:} If a string constant contains hexadecimal or
octal escape sequences, and these escape sequences all specify unibyte
characters (i.e., less than 256), and there are no other literal
non-@acronym{ASCII} characters or Unicode-style escape sequences in
the string, then Emacs automatically assumes that it is a unibyte
string.  That is to say, it assumes that all non-@acronym{ASCII}
characters occurring in the string are 8-bit raw bytes.

  In hexadecimal and octal escape sequences, the escaped character
code may contain a variable number of digits, so the first subsequent
character which is not a valid hexadecimal or octal digit terminates
the escape sequence.  If the next character in a string could be
interpreted as a hexadecimal or octal digit, write @w{@samp{\ }}
(backslash and space) to terminate the escape sequence.  For example,
@w{@samp{\xe0\ }} represents one character, @samp{a} with grave
accent.  @w{@samp{\ }} in a string constant is just like
backslash-newline; it does not contribute any character to the string,
but it does terminate any preceding hex escape.

@node Nonprinting Characters
@subsubsection Nonprinting Characters in Strings

  You can use the same backslash escape-sequences in a string constant
as in character literals (but do not use the question mark that begins a
character constant).  For example, you can write a string containing the
nonprinting characters tab and @kbd{C-a}, with commas and spaces between
them, like this: @code{"\t, \C-a"}.  @xref{Character Type}, and its
subsections for a description of the various kinds of read syntax for
characters.

  However, not all of the characters you can write with backslash
escape-sequences are valid in strings.  The only control characters that
a string can hold are the @acronym{ASCII} control characters.  Strings do not
distinguish case in @acronym{ASCII} control characters.

  Properly speaking, strings cannot hold meta characters; but when a
string is to be used as a key sequence, there is a special convention
that provides a way to represent meta versions of @acronym{ASCII}
characters in a string.  If you use the @samp{\M-} syntax to indicate
a meta character in a string constant, this sets the
@tex
@math{2^{7}}
@end tex
@ifnottex
2**7
@end ifnottex
bit of the character in the string.  If the string is used in
@code{define-key} or @code{lookup-key}, this numeric code is translated
into the equivalent meta character.  @xref{Character Type}.

  Strings cannot hold characters that have the hyper, super, or alt
modifiers.

@node Text Props and Strings
@subsubsection Text Properties in Strings

@cindex @samp{#(} read syntax
@cindex text properties, read syntax
  A string can hold properties for the characters it contains, in
addition to the characters themselves.  This enables programs that copy
text between strings and buffers to copy the text's properties with no
special effort.  @xref{Text Properties}, for an explanation of what text
properties mean.  Strings with text properties use a special read and
print syntax:

@example
#("@var{characters}" @var{property-data}...)
@end example

@noindent
where @var{property-data} consists of zero or more elements, in groups
of three as follows:

@example
@var{beg} @var{end} @var{plist}
@end example

@noindent
The elements @var{beg} and @var{end} are integers, and together specify
a range of indices in the string; @var{plist} is the property list for
that range.  For example,

@example
#("foo bar" 0 3 (face bold) 3 4 nil 4 7 (face italic))
@end example

@noindent
represents a string whose textual contents are @samp{foo bar}, in which
the first three characters have a @code{face} property with value
@code{bold}, and the last three have a @code{face} property with value
@code{italic}.  (The fourth character has no text properties, so its
property list is @code{nil}.  It is not actually necessary to mention
ranges with @code{nil} as the property list, since any characters not
mentioned in any range will default to having no properties.)

@node Vector Type
@subsection Vector Type

  A @dfn{vector} is a one-dimensional array of elements of any type.  It
takes a constant amount of time to access any element of a vector.  (In
a list, the access time of an element is proportional to the distance of
the element from the beginning of the list.)

  The printed representation of a vector consists of a left square
bracket, the elements, and a right square bracket.  This is also the
read syntax.  Like numbers and strings, vectors are considered constants
for evaluation.

@example
[1 "two" (three)]      ; @r{A vector of three elements.}
     @result{} [1 "two" (three)]
@end example

  @xref{Vectors}, for functions that work with vectors.

@node Char-Table Type
@subsection Char-Table Type

  A @dfn{char-table} is a one-dimensional array of elements of any type,
indexed by character codes.  Char-tables have certain extra features to
make them more useful for many jobs that involve assigning information
to character codes---for example, a char-table can have a parent to
inherit from, a default value, and a small number of extra slots to use for
special purposes.  A char-table can also specify a single value for
a whole character set.

@cindex @samp{#^} read syntax
  The printed representation of a char-table is like a vector
except that there is an extra @samp{#^} at the beginning.@footnote{You
may also encounter @samp{#^^}, used for sub-char-tables.}

  @xref{Char-Tables}, for special functions to operate on char-tables.
Uses of char-tables include:

@itemize @bullet
@item
Case tables (@pxref{Case Tables}).

@item
Character category tables (@pxref{Categories}).

@item
Display tables (@pxref{Display Tables}).

@item
Syntax tables (@pxref{Syntax Tables}).
@end itemize

@node Bool-Vector Type
@subsection Bool-Vector Type

  A @dfn{bool-vector} is a one-dimensional array whose elements must
be @code{t} or @code{nil}.

  The printed representation of a bool-vector is like a string, except
that it begins with @samp{#&} followed by the length.  The string
constant that follows actually specifies the contents of the bool-vector
as a bitmap---each character in the string contains 8 bits, which
specify the next 8 elements of the bool-vector (1 stands for @code{t},
and 0 for @code{nil}).  The least significant bits of the character
correspond to the lowest indices in the bool-vector.

@example
(make-bool-vector 3 t)
     @result{} #&3"^G"
(make-bool-vector 3 nil)
     @result{} #&3"^@@"
@end example

@noindent
These results make sense, because the binary code for @samp{C-g} is
111 and @samp{C-@@} is the character with code 0.

  If the length is not a multiple of 8, the printed representation
shows extra elements, but these extras really make no difference.  For
instance, in the next example, the two bool-vectors are equal, because
only the first 3 bits are used:

@example
(equal #&3"\377" #&3"\007")
     @result{} t
@end example

@node Hash Table Type
@subsection Hash Table Type

    A hash table is a very fast kind of lookup table, somewhat like an
alist in that it maps keys to corresponding values, but much faster.
The printed representation of a hash table specifies its properties
and contents, like this:

@example
(make-hash-table)
     @result{} #s(hash-table size 65 test eql rehash-size 1.5
                             rehash-threshold 0.8125 data ())
@end example

@noindent
@xref{Hash Tables}, for more information about hash tables.

@node Function Type
@subsection Function Type

  Lisp functions are executable code, just like functions in other
programming languages.  In Lisp, unlike most languages, functions are
also Lisp objects.  A non-compiled function in Lisp is a lambda
expression: that is, a list whose first element is the symbol
@code{lambda} (@pxref{Lambda Expressions}).

  In most programming languages, it is impossible to have a function
without a name.  In Lisp, a function has no intrinsic name.  A lambda
expression can be called as a function even though it has no name; to
emphasize this, we also call it an @dfn{anonymous function}
(@pxref{Anonymous Functions}).  A named function in Lisp is just a
symbol with a valid function in its function cell (@pxref{Defining
Functions}).

  Most of the time, functions are called when their names are written in
Lisp expressions in Lisp programs.  However, you can construct or obtain
a function object at run time and then call it with the primitive
functions @code{funcall} and @code{apply}.  @xref{Calling Functions}.

@node Macro Type
@subsection Macro Type

  A @dfn{Lisp macro} is a user-defined construct that extends the Lisp
language.  It is represented as an object much like a function, but with
different argument-passing semantics.  A Lisp macro has the form of a
list whose first element is the symbol @code{macro} and whose @sc{cdr}
is a Lisp function object, including the @code{lambda} symbol.

  Lisp macro objects are usually defined with the built-in
@code{defmacro} macro, but any list that begins with @code{macro} is a
macro as far as Emacs is concerned.  @xref{Macros}, for an explanation
of how to write a macro.

  @strong{Warning}: Lisp macros and keyboard macros (@pxref{Keyboard
Macros}) are entirely different things.  When we use the word ``macro''
without qualification, we mean a Lisp macro, not a keyboard macro.

@node Primitive Function Type
@subsection Primitive Function Type
@cindex primitive function

  A @dfn{primitive function} is a function callable from Lisp but
written in the C programming language.  Primitive functions are also
called @dfn{subrs} or @dfn{built-in functions}.  (The word ``subr'' is
derived from ``subroutine''.)  Most primitive functions evaluate all
their arguments when they are called.  A primitive function that does
not evaluate all its arguments is called a @dfn{special form}
(@pxref{Special Forms}).

  It does not matter to the caller of a function whether the function is
primitive.  However, this does matter if you try to redefine a primitive
with a function written in Lisp.  The reason is that the primitive
function may be called directly from C code.  Calls to the redefined
function from Lisp will use the new definition, but calls from C code
may still use the built-in definition.  Therefore, @strong{we discourage
redefinition of primitive functions}.

  The term @dfn{function} refers to all Emacs functions, whether written
in Lisp or C@.  @xref{Function Type}, for information about the
functions written in Lisp.

  Primitive functions have no read syntax and print in hash notation
with the name of the subroutine.

@example
@group
(symbol-function 'car)          ; @r{Access the function cell}
                                ;   @r{of the symbol.}
     @result{} #<subr car>
(subrp (symbol-function 'car))  ; @r{Is this a primitive function?}
     @result{} t                       ; @r{Yes.}
@end group
@end example

@node Byte-Code Type
@subsection Byte-Code Function Type

@dfn{Byte-code function objects} are produced by byte-compiling Lisp
code (@pxref{Byte Compilation}).  Internally, a byte-code function
object is much like a vector; however, the evaluator handles this data
type specially when it appears in a function call.  @xref{Byte-Code
Objects}.

The printed representation and read syntax for a byte-code function
object is like that for a vector, with an additional @samp{#} before the
opening @samp{[}.

@node Record Type
@subsection Record Type

  A @dfn{record} is much like a @code{vector}.  However, the first
element is used to hold its type as returned by @code{type-of}.  The
purpose of records is to allow programmers to create objects with new
types that are not built into Emacs.

  @xref{Records}, for functions that work with records.

@node Type Descriptors
@subsection Type Descriptors

  A @dfn{type descriptor} is a @code{record} which holds information
about a type.  Slot 1 in the record must be a symbol naming the type, and
@code{type-of} relies on this to return the type of @code{record}
objects.  No other type descriptor slot is used by Emacs; they are
free for use by Lisp extensions.

An example of a type descriptor is any instance of
@code{cl-structure-class}.

@node Autoload Type
@subsection Autoload Type

  An @dfn{autoload object} is a list whose first element is the symbol
@code{autoload}.  It is stored as the function definition of a symbol,
where it serves as a placeholder for the real definition.  The autoload
object says that the real definition is found in a file of Lisp code
that should be loaded when necessary.  It contains the name of the file,
plus some other information about the real definition.

  After the file has been loaded, the symbol should have a new function
definition that is not an autoload object.  The new definition is then
called as if it had been there to begin with.  From the user's point of
view, the function call works as expected, using the function definition
in the loaded file.

  An autoload object is usually created with the function
@code{autoload}, which stores the object in the function cell of a
symbol.  @xref{Autoload}, for more details.

@node Finalizer Type
@subsection Finalizer Type

  A @dfn{finalizer object} helps Lisp code clean up after objects that
are no longer needed.  A finalizer holds a Lisp function object.
When a finalizer object becomes unreachable after a garbage collection
pass, Emacs calls the finalizer's associated function object.
When deciding whether a finalizer is reachable, Emacs does not count
references from finalizer objects themselves, allowing you to use
finalizers without having to worry about accidentally capturing
references to finalized objects themselves.

Errors in finalizers are printed to @code{*Messages*}.  Emacs runs
a given finalizer object's associated function exactly once, even
if that function fails.

@defun make-finalizer function
Make a finalizer that will run @var{function}.  @var{function} will be
called after garbage collection when the returned finalizer object
becomes unreachable.  If the finalizer object is reachable only
through references from finalizer objects, it does not count as
reachable for the purpose of deciding whether to run @var{function}.
@var{function} will be run once per finalizer object.
@end defun

@node Editing Types
@section Editing Types
@cindex editing types

  The types in the previous section are used for general programming
purposes, and most of them are common to most Lisp dialects.  Emacs Lisp
provides several additional data types for purposes connected with
editing.

@menu
* Buffer Type::         The basic object of editing.
* Marker Type::         A position in a buffer.
* Window Type::         Buffers are displayed in windows.
* Frame Type::          Windows subdivide frames.
* Terminal Type::       A terminal device displays frames.
* Window Configuration Type::   Recording the way a frame is subdivided.
* Frame Configuration Type::    Recording the status of all frames.
* Process Type::        A subprocess of Emacs running on the underlying OS.
* Thread Type::         A thread of Emacs Lisp execution.
* Mutex Type::          An exclusive lock for thread synchronization.
* Condition Variable Type::     Condition variable for thread synchronization.
* Stream Type::         Receive or send characters.
* Keymap Type::         What function a keystroke invokes.
* Overlay Type::        How an overlay is represented.
* Font Type::           Fonts for displaying text.
* Xwidget Type::        Embeddable widgets.
@end menu

@node Buffer Type
@subsection Buffer Type

  A @dfn{buffer} is an object that holds text that can be edited
(@pxref{Buffers}).  Most buffers hold the contents of a disk file
(@pxref{Files}) so they can be edited, but some are used for other
purposes.  Most buffers are also meant to be seen by the user, and
therefore displayed, at some time, in a window (@pxref{Windows}).  But
a buffer need not be displayed in any window.  Each buffer has a
designated position called @dfn{point} (@pxref{Positions}); most
editing commands act on the contents of the current buffer in the
neighborhood of point.  At any time, one buffer is the @dfn{current
buffer}.

  The contents of a buffer are much like a string, but buffers are not
used like strings in Emacs Lisp, and the available operations are
different.  For example, you can insert text efficiently into an
existing buffer, altering the buffer's contents, whereas inserting
text into a string requires concatenating substrings, and the result
is an entirely new string object.

  Many of the standard Emacs functions manipulate or test the
characters in the current buffer; a whole chapter in this manual is
devoted to describing these functions (@pxref{Text}).

  Several other data structures are associated with each buffer:

@itemize @bullet
@item
a local syntax table (@pxref{Syntax Tables});

@item
a local keymap (@pxref{Keymaps}); and,

@item
a list of buffer-local variable bindings (@pxref{Buffer-Local Variables}).

@item
overlays (@pxref{Overlays}).

@item
text properties for the text in the buffer (@pxref{Text Properties}).
@end itemize

@noindent
The local keymap and variable list contain entries that individually
override global bindings or values.  These are used to customize the
behavior of programs in different buffers, without actually changing the
programs.

  A buffer may be @dfn{indirect}, which means it shares the text
of another buffer, but presents it differently.  @xref{Indirect Buffers}.

  Buffers have no read syntax.  They print in hash notation, showing the
buffer name.

@example
@group
(current-buffer)
     @result{} #<buffer objects.texi>
@end group
@end example

@node Marker Type
@subsection Marker Type

  A @dfn{marker} denotes a position in a specific buffer.  Markers
therefore have two components: one for the buffer, and one for the
position.  Changes in the buffer's text automatically relocate the
position value as necessary to ensure that the marker always points
between the same two characters in the buffer.

  Markers have no read syntax.  They print in hash notation, giving the
current character position and the name of the buffer.

@example
@group
(point-marker)
     @result{} #<marker at 10779 in objects.texi>
@end group
@end example

@xref{Markers}, for information on how to test, create, copy, and move
markers.

@node Window Type
@subsection Window Type

  A @dfn{window} describes the portion of the screen that Emacs uses to
display buffers.  Every live window (@pxref{Basic Windows}) has one
associated buffer, whose contents appear in that window.  By contrast, a
given buffer may appear in one window, no window, or several windows.
Windows are grouped on the screen into frames; each window belongs to
one and only one frame.  @xref{Frame Type}.

  Though many windows may exist simultaneously, at any time one window
is designated the @dfn{selected window} (@pxref{Selecting Windows}).
This is the window where the cursor is (usually) displayed when Emacs is
ready for a command.  The selected window usually displays the current
buffer (@pxref{Current Buffer}), but this is not necessarily the case.

  Windows have no read syntax.  They print in hash notation, giving the
window number and the name of the buffer being displayed.  The window
numbers exist to identify windows uniquely, since the buffer displayed
in any given window can change frequently.

@example
@group
(selected-window)
     @result{} #<window 1 on objects.texi>
@end group
@end example

  @xref{Windows}, for a description of the functions that work on windows.

@node Frame Type
@subsection Frame Type

  A @dfn{frame} is a screen area that contains one or more Emacs
windows; we also use the term ``frame'' to refer to the Lisp object
that Emacs uses to refer to the screen area.

  Frames have no read syntax.  They print in hash notation, giving the
frame's title, plus its address in core (useful to identify the frame
uniquely).

@example
@group
(selected-frame)
     @result{} #<frame emacs@@psilocin.gnu.org 0xdac80>
@end group
@end example

  @xref{Frames}, for a description of the functions that work on frames.

@node Terminal Type
@subsection Terminal Type
@cindex terminal type

  A @dfn{terminal} is a device capable of displaying one or more
Emacs frames (@pxref{Frame Type}).

  Terminals have no read syntax.  They print in hash notation giving
the terminal's ordinal number and its TTY device file name.

@example
@group
(get-device-terminal nil)
     @result{} #<terminal 1 on /dev/tty>
@end group
@end example

@c FIXME: add an xref to where terminal-related primitives are described.

@node Window Configuration Type
@subsection Window Configuration Type
@cindex window layout in a frame

  A @dfn{window configuration} stores information about the positions,
sizes, and contents of the windows in a frame, so you can recreate the
same arrangement of windows later.

  Window configurations do not have a read syntax; their print syntax
looks like @samp{#<window-configuration>}.  @xref{Window
Configurations}, for a description of several functions related to
window configurations.

@node Frame Configuration Type
@subsection Frame Configuration Type
@cindex screen layout
@cindex window layout, all frames

  A @dfn{frame configuration} stores information about the positions,
sizes, and contents of the windows in all frames.  It is not a
primitive type---it is actually a list whose @sc{car} is
@code{frame-configuration} and whose @sc{cdr} is an alist.  Each alist
element describes one frame, which appears as the @sc{car} of that
element.

  @xref{Frame Configurations}, for a description of several functions
related to frame configurations.

@node Process Type
@subsection Process Type

  The word @dfn{process} usually means a running program.  Emacs itself
runs in a process of this sort.  However, in Emacs Lisp, a process is a
Lisp object that designates a subprocess created by the Emacs process.
Programs such as shells, GDB, ftp, and compilers, running in
subprocesses of Emacs, extend the capabilities of Emacs.
  An Emacs subprocess takes textual input from Emacs and returns textual
output to Emacs for further manipulation.  Emacs can also send signals
to the subprocess.

  Process objects have no read syntax.  They print in hash notation,
giving the name of the process:

@example
@group
(process-list)
     @result{} (#<process shell>)
@end group
@end example

@xref{Processes}, for information about functions that create, delete,
return information about, send input or signals to, and receive output
from processes.

@node Thread Type
@subsection Thread Type

  A @dfn{thread} in Emacs represents a separate thread of Emacs Lisp
execution.  It runs its own Lisp program, has its own current buffer,
and can have subprocesses locked to it, i.e.@: subprocesses whose
output only this thread can accept.  @xref{Threads}.

  Thread objects have no read syntax.  They print in hash notation,
giving the name of the thread (if it has been given a name) or its
address in core:

@example
@group
(all-threads)
    @result{} (#<thread 0176fc40>)
@end group
@end example

@node Mutex Type
@subsection Mutex Type

  A @dfn{mutex} is an exclusive lock that threads can own and disown,
in order to synchronize between them.  @xref{Mutexes}.

  Mutex objects have no read syntax.  They print in hash notation,
giving the name of the mutex (if it has been given a name) or its
address in core:

@example
@group
(make-mutex "my-mutex")
    @result{} #<mutex my-mutex>
(make-mutex)
    @result{} #<mutex 01c7e4e0>
@end group
@end example

@node Condition Variable Type
@subsection Condition Variable Type

  A @dfn{condition variable} is a device for a more complex thread
synchronization than the one supported by a mutex.  A thread can wait
on a condition variable, to be woken up when some other thread
notifies the condition.

  Condition variable objects have no read syntax.  They print in hash
notation, giving the name of the condition variable (if it has been
given a name) or its address in core:

@example
@group
(make-condition-variable (make-mutex))
    @result{} #<condvar 01c45ae8>
@end group
@end example

@node Stream Type
@subsection Stream Type

  A @dfn{stream} is an object that can be used as a source or sink for
characters---either to supply characters for input or to accept them as
output.  Many different types can be used this way: markers, buffers,
strings, and functions.  Most often, input streams (character sources)
obtain characters from the keyboard, a buffer, or a file, and output
streams (character sinks) send characters to a buffer, such as a
@file{*Help*} buffer, or to the echo area.

  The object @code{nil}, in addition to its other meanings, may be used
as a stream.  It stands for the value of the variable
@code{standard-input} or @code{standard-output}.  Also, the object
@code{t} as a stream specifies input using the minibuffer
(@pxref{Minibuffers}) or output in the echo area (@pxref{The Echo
Area}).

  Streams have no special printed representation or read syntax, and
print as whatever primitive type they are.

  @xref{Read and Print}, for a description of functions
related to streams, including parsing and printing functions.

@node Keymap Type
@subsection Keymap Type

  A @dfn{keymap} maps keys typed by the user to commands.  This mapping
controls how the user's command input is executed.  A keymap is actually
a list whose @sc{car} is the symbol @code{keymap}.

  @xref{Keymaps}, for information about creating keymaps, handling prefix
keys, local as well as global keymaps, and changing key bindings.

@node Overlay Type
@subsection Overlay Type

  An @dfn{overlay} specifies properties that apply to a part of a
buffer.  Each overlay applies to a specified range of the buffer, and
contains a property list (a list whose elements are alternating property
names and values).  Overlay properties are used to present parts of the
buffer temporarily in a different display style.  Overlays have no read
syntax, and print in hash notation, giving the buffer name and range of
positions.

  @xref{Overlays}, for information on how you can create and use overlays.

@node Font Type
@subsection Font Type

  A @dfn{font} specifies how to display text on a graphical terminal.
There are actually three separate font types---@dfn{font objects},
@dfn{font specs}, and @dfn{font entities}---each of which has slightly
different properties.  None of them have a read syntax; their print
syntax looks like @samp{#<font-object>}, @samp{#<font-spec>}, and
@samp{#<font-entity>} respectively.  @xref{Low-Level Font}, for a
description of these Lisp objects.

@node Xwidget Type
@subsection Xwidget Type
@cindex xwidget type
@cindex xwidget-view type

  An @dfn{xwidget} is a special display element, such as a web
browser, that can be embedded inside a buffer.  Each window that
displays an xwidget will also have an @dfn{xwidget view}, which on
X-Windows corresponds to a single X window used to display the widget.

Neither of these objects are readable; their print syntaxes look like
@samp{#<xwidget>} and @samp{#<xwidget-view>}, respectively.
@xref{Xwidgets}, for a more detailed description of xwidgets.

@node Circular Objects
@section Read Syntax for Circular Objects
@cindex circular structure, read syntax
@cindex shared structure, read syntax
@cindex @samp{#@var{n}=} read syntax
@cindex @samp{#@var{n}#} read syntax

  To represent shared or circular structures within a complex of Lisp
objects, you can use the reader constructs @samp{#@var{n}=} and
@samp{#@var{n}#}.

  Use @code{#@var{n}=} before an object to label it for later reference;
subsequently, you can use @code{#@var{n}#} to refer the same object in
another place.  Here, @var{n} is some integer.  For example, here is how
to make a list in which the first element recurs as the third element:

@example
(#1=(a) b #1#)
@end example

@noindent
This differs from ordinary syntax such as this

@example
((a) b (a))
@end example

@noindent
which would result in a list whose first and third elements
look alike but are not the same Lisp object.  This shows the difference:

@example
(prog1 nil
  (setq x '(#1=(a) b #1#)))
(eq (nth 0 x) (nth 2 x))
     @result{} t
(setq x '((a) b (a)))
(eq (nth 0 x) (nth 2 x))
     @result{} nil
@end example

  You can also use the same syntax to make a circular structure, which
appears as an element within itself.  Here is an example:

@example
#1=(a #1#)
@end example

@noindent
This makes a list whose second element is the list itself.
Here's how you can see that it really works:

@example
(prog1 nil
  (setq x '#1=(a #1#)))
(eq x (cadr x))
     @result{} t
@end example

  The Lisp printer can produce this syntax to record circular and shared
structure in a Lisp object, if you bind the variable @code{print-circle}
to a non-@code{nil} value.  @xref{Output Variables}.

@node Type Predicates
@section Type Predicates
@cindex type checking
@kindex wrong-type-argument

  The Emacs Lisp interpreter itself does not perform type checking on
the actual arguments passed to functions when they are called.  It could
not do so, since function arguments in Lisp do not have declared data
types, as they do in other programming languages.  It is therefore up to
the individual function to test whether each actual argument belongs to
a type that the function can use.

  All built-in functions do check the types of their actual arguments
when appropriate, and signal a @code{wrong-type-argument} error if an
argument is of the wrong type.  For example, here is what happens if you
pass an argument to @code{+} that it cannot handle:

@example
@group
(+ 2 'a)
     @error{} Wrong type argument: number-or-marker-p, a
@end group
@end example

@cindex type predicates
@cindex testing types
  If you want your program to handle different types differently, you
must do explicit type checking.  The most common way to check the type
of an object is to call a @dfn{type predicate} function.  Emacs has a
type predicate for each type, as well as some predicates for
combinations of types.

  A type predicate function takes one argument; it returns @code{t} if
the argument belongs to the appropriate type, and @code{nil} otherwise.
Following a general Lisp convention for predicate functions, most type
predicates' names end with @samp{p}.

  Here is an example which uses the predicates @code{listp} to check for
a list and @code{symbolp} to check for a symbol.

@example
(defun add-on (x)
  (cond ((symbolp x)
         ;; If X is a symbol, put it on LIST.
         (setq list (cons x list)))
        ((listp x)
         ;; If X is a list, add its elements to LIST.
         (setq list (append x list)))
        (t
         ;; We handle only symbols and lists.
         (error "Invalid argument %s in add-on" x))))
@end example

  Here is a table of predefined type predicates, in alphabetical order,
with references to further information.

@table @code
@item atom
@xref{List-related Predicates, atom}.

@item arrayp
@xref{Array Functions, arrayp}.

@item bignump
@xref{Predicates on Numbers, floatp}.

@item bool-vector-p
@xref{Bool-Vectors, bool-vector-p}.

@item booleanp
@xref{nil and t, booleanp}.

@item bufferp
@xref{Buffer Basics, bufferp}.

@item byte-code-function-p
@xref{Byte-Code Type, byte-code-function-p}.

@item compiled-function-p
@xref{Byte-Code Type, compiled-function-p}.

@item case-table-p
@xref{Case Tables, case-table-p}.

@item char-or-string-p
@xref{Predicates for Strings, char-or-string-p}.

@item char-table-p
@xref{Char-Tables, char-table-p}.

@item commandp
@xref{Interactive Call, commandp}.

@item condition-variable-p
@xref{Condition Variables, condition-variable-p}.

@item consp
@xref{List-related Predicates, consp}.

@item custom-variable-p
@xref{Variable Definitions, custom-variable-p}.

@item fixnump
@xref{Predicates on Numbers, floatp}.

@item floatp
@xref{Predicates on Numbers, floatp}.

@item fontp
@xref{Low-Level Font}.

@item frame-configuration-p
@xref{Frame Configurations, frame-configuration-p}.

@item frame-live-p
@xref{Deleting Frames, frame-live-p}.

@item framep
@xref{Frames, framep}.

@item functionp
@xref{Functions, functionp}.

@item hash-table-p
@xref{Other Hash, hash-table-p}.

@item integer-or-marker-p
@xref{Predicates on Markers, integer-or-marker-p}.

@item integerp
@xref{Predicates on Numbers, integerp}.

@item keymapp
@xref{Creating Keymaps, keymapp}.

@item keywordp
@xref{Constant Variables}.

@item listp
@xref{List-related Predicates, listp}.

@item markerp
@xref{Predicates on Markers, markerp}.

@item mutexp
@xref{Mutexes, mutexp}.

@item nlistp
@xref{List-related Predicates, nlistp}.

@item number-or-marker-p
@xref{Predicates on Markers, number-or-marker-p}.

@item numberp
@xref{Predicates on Numbers, numberp}.

@item overlayp
@xref{Overlays, overlayp}.

@item processp
@xref{Processes, processp}.

@item recordp
@xref{Record Type, recordp}.

@item sequencep
@xref{Sequence Functions, sequencep}.

@item string-or-null-p
@xref{Predicates for Strings, string-or-null-p}.

@item stringp
@xref{Predicates for Strings, stringp}.

@item subrp
@xref{Function Cells, subrp}.

@item symbolp
@xref{Symbols, symbolp}.

@item syntax-table-p
@xref{Syntax Tables, syntax-table-p}.

@item threadp
@xref{Basic Thread Functions, threadp}.

@item vectorp
@xref{Vectors, vectorp}.

@item wholenump
@xref{Predicates on Numbers, wholenump}.

@item window-configuration-p
@xref{Window Configurations, window-configuration-p}.

@item window-live-p
@xref{Deleting Windows, window-live-p}.

@item windowp
@xref{Basic Windows, windowp}.
@end table

  The most general way to check the type of an object is to call the
function @code{type-of}.  Recall that each object belongs to one and
only one primitive type; @code{type-of} tells you which one (@pxref{Lisp
Data Types}).  But @code{type-of} knows nothing about non-primitive
types.  In most cases, it is more convenient to use type predicates than
@code{type-of}.

@defun type-of object
This function returns a symbol naming the primitive type of
@var{object}.  The value is one of the symbols @code{bool-vector},
@code{buffer}, @code{char-table}, @code{compiled-function},
@code{condition-variable}, @code{cons}, @code{finalizer},
@code{float}, @code{font-entity}, @code{font-object},
@code{font-spec}, @code{frame}, @code{hash-table}, @code{integer},
@code{marker}, @code{mutex}, @code{overlay}, @code{process},
@code{string}, @code{subr}, @code{symbol}, @code{thread},
@code{vector}, @code{window}, or @code{window-configuration}.
However, if @var{object} is a record, the type specified by its first
slot is returned; @ref{Records}.

@example
(type-of 1)
     @result{} integer
@group
(type-of 'nil)
     @result{} symbol
(type-of '())    ; @r{@code{()} is @code{nil}.}
     @result{} symbol
(type-of '(x))
     @result{} cons
(type-of (record 'foo))
     @result{} foo
@end group
@end example
@end defun

@node Equality Predicates
@section Equality Predicates
@cindex equality

  Here we describe functions that test for equality between two
objects.  Other functions test equality of contents between objects of
specific types, e.g., strings.  For these predicates, see the
appropriate chapter describing the data type.

@defun eq object1 object2
This function returns @code{t} if @var{object1} and @var{object2} are
the same object, and @code{nil} otherwise.

If @var{object1} and @var{object2} are symbols with the
same name, they are normally the same object---but see @ref{Creating
Symbols} for exceptions.  For other non-numeric types (e.g., lists, vectors,
strings), two arguments with the same contents or elements are not
necessarily @code{eq} to each other: they are @code{eq} only if they
are the same object, meaning that a change in the contents of one will
be reflected by the same change in the contents of the other.

If @var{object1} and @var{object2} are numbers with differing types or values,
then they cannot be the same object and @code{eq} returns @code{nil}.
If they are fixnums with the same value,
then they are the same object and @code{eq} returns @code{t}.
If they were computed separately but happen to have the same value
and the same non-fixnum numeric type, then they might or might not be
the same object, and @code{eq} returns @code{t} or @code{nil}
depending on whether the Lisp interpreter created one object or two.

@example
@group
(eq 'foo 'foo)
     @result{} t
@end group

@group
(eq ?A ?A)
     @result{} t
@end group

@group
(eq 3.0 3.0)
     @result{} t @r{or} nil
;; @r{Equal floats may or may not be the same object.}
@end group

@group
(eq (make-string 3 ?A) (make-string 3 ?A))
     @result{} nil
@end group

@group
(eq "asdf" "asdf")
     @result{} t @r{or} nil
;; @r{Equal string constants or may not be the same object.}
@end group

@group
(eq '(1 (2 (3))) '(1 (2 (3))))
     @result{} nil
@end group

@group
(setq foo '(1 (2 (3))))
     @result{} (1 (2 (3)))
(eq foo foo)
     @result{} t
(eq foo '(1 (2 (3))))
     @result{} nil
@end group

@group
(eq [(1 2) 3] [(1 2) 3])
     @result{} nil
@end group

@group
(eq (point-marker) (point-marker))
     @result{} nil
@end group
@end example

@noindent
The @code{make-symbol} function returns an uninterned symbol, distinct
from the symbol that is used if you write the name in a Lisp expression.
Distinct symbols with the same name are not @code{eq}.  @xref{Creating
Symbols}.

@example
@group
(eq (make-symbol "foo") 'foo)
     @result{} nil
@end group
@end example

@noindent
@cindex identical-contents objects, and byte-compiler
@cindex objects with identical contents, and byte-compiler
The Emacs Lisp byte compiler may collapse identical literal objects,
such as literal strings, into references to the same object, with the
effect that the byte-compiled code will compare such objects as
@code{eq}, while the interpreted version of the same code will not.
Therefore, your code should never rely on objects with the same
literal contents being either @code{eq} or not @code{eq}, it should
instead use functions that compare object contents such as
@code{equal}, described below.  Similarly, your code should not modify
literal objects (e.g., put text properties on literal strings), since
doing that might affect other literal objects of the same contents, if
the byte compiler collapses them.
@end defun

@defun equal object1 object2
This function returns @code{t} if @var{object1} and @var{object2} have
equal components, and @code{nil} otherwise.  Whereas @code{eq} tests
if its arguments are the same object, @code{equal} looks inside
nonidentical arguments to see if their elements or contents are the
same.  So, if two objects are @code{eq}, they are @code{equal}, but
the converse is not always true.

@example
@group
(equal 'foo 'foo)
     @result{} t
@end group

@group
(equal 456 456)
     @result{} t
@end group

@group
(equal "asdf" "asdf")
     @result{} t
@end group
@group
(eq "asdf" "asdf")
     @result{} nil
@end group

@group
(equal '(1 (2 (3))) '(1 (2 (3))))
     @result{} t
@end group
@group
(eq '(1 (2 (3))) '(1 (2 (3))))
     @result{} nil
@end group

@group
(equal [(1 2) 3] [(1 2) 3])
     @result{} t
@end group
@group
(eq [(1 2) 3] [(1 2) 3])
     @result{} nil
@end group

@group
(equal (point-marker) (point-marker))
     @result{} t
@end group

@group
(eq (point-marker) (point-marker))
     @result{} nil
@end group
@end example

Comparison of strings is case-sensitive, but does not take account of
text properties---it compares only the characters in the strings.
@xref{Text Properties}.  Use @code{equal-including-properties} to also
compare text properties.  For technical reasons, a unibyte string and
a multibyte string are @code{equal} if and only if they contain the
same sequence of character codes and all these codes are in the range
0 through 127 (@acronym{ASCII}).

@example
@group
(equal "asdf" "ASDF")
     @result{} nil
@end group
@end example

The @code{equal} function recursively compares the contents of objects
if they are integers, strings, markers, vectors, bool-vectors,
byte-code function objects, char-tables, records, or font objects.
Other objects are considered @code{equal} only if they are @code{eq}.
For example, two distinct buffers are never considered @code{equal},
even if their textual contents are the same.
@end defun

  For @code{equal}, equality is defined recursively; for example, given
two cons cells @var{x} and @var{y}, @code{(equal @var{x} @var{y})}
returns @code{t} if and only if both the expressions below return
@code{t}:

@example
(equal (car @var{x}) (car @var{y}))
(equal (cdr @var{x}) (cdr @var{y}))
@end example

Comparing circular lists may therefore cause deep recursion that leads
to an error, and this may result in counterintuitive behavior such as
@code{(equal a b)} returning @code{t} whereas @code{(equal b a)}
signals an error.

@defun equal-including-properties object1 object2
This function behaves like @code{equal} in all cases but also requires
that for two strings to be equal, they have the same text properties.

@example
@group
(equal "asdf" (propertize "asdf" 'asdf t))
     @result{} t
@end group
@group
(equal-including-properties "asdf"
                            (propertize "asdf" 'asdf t))
     @result{} nil
@end group
@end example
@end defun

@node Mutability
@section Mutability
@cindex mutable objects

  Some Lisp objects should never change.  For example, the Lisp
expression @code{"aaa"} yields a string, but you should not change
its contents.  And some objects cannot be changed; for example,
although you can create a new number by calculating one, Lisp provides
no operation to change the value of an existing number.

  Other Lisp objects are @dfn{mutable}: it is safe to change their
values via destructive operations involving side effects.  For
example, an existing marker can be changed by moving the marker to
point to somewhere else.

  Although numbers never change and all markers are mutable,
some types have members some of which are mutable and others not.  These
types include conses, vectors, and strings.  For example,
although @code{"cons"} and @code{(symbol-name 'cons)} both yield
strings that should not be changed, @code{(copy-sequence "cons")} and
@code{(make-string 3 ?a)} both yield mutable strings that can be
changed via later calls to @code{aset}.

  A mutable object stops being mutable if it is part of an expression
that is evaluated.  For example:

@example
(let* ((x (list 0.5))
       (y (eval (list 'quote x))))
  (setcar x 1.5) ;; The program should not do this.
  y)
@end example

@noindent
Although the list @code{(0.5)} was mutable when it was created, it should not
have been changed via @code{setcar} because it was given to @code{eval}.  The
reverse does not occur: an object that should not be changed never
becomes mutable afterwards.

  If a program attempts to change objects that should not be
changed, the resulting behavior is undefined: the Lisp interpreter
might signal an error, or it might crash or behave unpredictably in
other ways.@footnote{This is the behavior specified for languages like
Common Lisp and C for constants, and this differs from languages like
JavaScript and Python where an interpreter is required to signal an
error if a program attempts to change an immutable object.  Ideally the Emacs
Lisp interpreter will evolve in latter direction.}

  When similar constants occur as parts of a program, the Lisp
interpreter might save time or space by reusing existing constants or
their components.  For example, @code{(eq "abc" "abc")} returns
@code{t} if the interpreter creates only one instance of the string
literal @code{"abc"}, and returns @code{nil} if it creates two
instances.  Lisp programs should be written so that they work
regardless of whether this optimization is in use.
