Fundamental types - cppreference.com

(See also

type

for type system overview and

the list of type-related utilities

that are provided by the C++ library)

The following types are collectively called fundamental types :

(possibly cv-qualified) void

integral types

floating-point types

void

void — type with an empty set of values. It is an

incomplete type

that cannot be completed (consequently, objects of type void are disallowed). There are no

arrays

of void, nor

references

to void. However,

pointers to void

and

functions

returning type void (procedures in other languages) are permitted.std::nullptr_t

std::nullptr_t

names the type of the null pointer literal,

nullptr

. It is a distinct type that is not itself a pointer type or a pointer to member type. All its prvalues are

null pointer constants

. sizeof(std::nullptr_t) is equal to sizeof(void*).

The name std::nullptr_t is declared in

<cstddef>

.

(since C++11)std::meta::info

std::meta::info names the type of reflection values. There exists a unique null reflection. Every other reflection represents a language construct.

The name std::meta::info is declared in

<meta>

.

(since C++26)Integral types

Standard integer types

int — basic integer type. The keyword int may be omitted if any of the modifiers listed below are used. If no length modifiers are present, it's guaranteed to have a width of at least 16 bits. However, on 32/64 bit systems it is almost exclusively guaranteed to have width of at least 32 bits (see below).ModifiersModifies the basic integer type. Can be mixed in any order. Only one of each group can be present in type name.

Signedness:

signed — target type will have signed representation (this is the default if omitted)unsigned — target type will have unsigned representationSize:

short — target type will be optimized for space and will have width of at least 16 bits.long — target type will have width of at least 32 bits.long long — target type will have width of at least 64 bits.(since C++11)Note: as with all type specifiers, any order is permitted: unsignedlonglongint and longintunsignedlong name the same type.

PropertiesThe following table summarizes all available standard integer types and their properties in various common data models:

Type specifier Equivalent type Width in bits by

data model

C++ standard LP32 ILP32 LLP64 LP64 signedchar

signedcharat least
88888unsignedchar

unsignedcharshort

shortintat least
1616161616shortint

signedshort

signedshortint

unsignedshort

unsignedshortintunsignedshortint

int

intat least
1616323232signed

signedint

unsigned

unsignedintunsignedint

long

longintat least
3232323264longint

signedlong

signedlongint

unsignedlong

unsignedlongintunsignedlongint

longlong

longlongint
(C++11)at least
6464646464longlongint

signedlonglong

signedlonglongint

unsignedlonglong

unsignedlonglongint
(C++11)unsignedlonglongint

Note: integer arithmetic is defined differently for the signed and unsigned integer types. See

arithmetic operators

, in particular

integer overflows

.

std::size_t

is the unsigned integer type of the result of the

sizeof

operator as well as the

sizeof...

operator and the

alignof

operator(since C++11).

Extended integer types

The extended integer types are implementation-defined. Note that

fixed width integer types

are typically aliases of the standard integer types.

(since C++11)Boolean type

bool — integer type, capable of holding one of the two values:

true

or

false

. The value of sizeof(bool) is implementation defined and might differ from 1.Character types

Character types are integer types used for a character representation.

signed char — type for signed character representation.unsigned char — type for unsigned character representation. Also used to inspect

object representations

(raw memory).char — type for character representation which can be most efficiently processed on the target system (has the same representation and alignment as either signed char or unsigned char, but is always a distinct type).

Multibyte characters strings

use this type to represent code units. For every value of type unsigned char in range [0, 255], converting the value to char and then back to unsigned char produces the original value.(since C++11) The signedness of char depends on the compiler and the target platform: the defaults for ARM and PowerPC are typically unsigned, the defaults for x86 and x64 are typically signed.wchar_t — type for wide character representation (see

wide strings

). It has the same size, signedness, and alignment as one of the integer types, but is a distinct type. In practice, it is 32 bits and holds UTF-32 on Linux and many other non-Windows systems, but 16 bits and holds UTF-16 code units on Windows. The standard used to require wchar_t to be large enough to represent any supported character code point. However, such requirement cannot be fulfilled on Windows, and thus it is considered as a

defect

and removed.char16_t — type for UTF-16 character representation, required to be large enough to represent any UTF-16 code unit (16 bits). It has the same size, signedness, and alignment as

std::uint_least16_t

, but is a distinct type.char32_t — type for UTF-32 character representation, required to be large enough to represent any UTF-32 code unit (32 bits). It has the same size, signedness, and alignment as

std::uint_least32_t

, but is a distinct type.(since C++11)char8_t — type for UTF-8 character representation, required to be large enough to represent any UTF-8 code unit (8 bits). It has the same size, signedness, and alignment as unsigned char (and therefore, the same size and alignment as char and signed char), but is a distinct type.(since C++20)Besides the minimal bit counts, the C++ Standard guarantees that

1 == sizeof(char) ≤ sizeof(short) ≤ sizeof(int) ≤ sizeof(long) ≤ sizeof(longlong).Note: this allows the extreme case in which

bytes

are sized 64 bits, all types (including char) are 64 bits wide, and

sizeof

returns 1 for every type.

Floating-point types

Standard floating-point types

The following three types and their cv-qualified versions are collectively called standard floating-point types.

float — single precision floating-point type. Usually

IEEE-754 binary32 format

.double — double precision floating-point type. Usually

IEEE-754 binary64 format

.long double — extended precision floating-point type. Does not necessarily map to types mandated by IEEE-754.

IEEE-754 binary128 format

is used by some HP-UX, SPARC, MIPS, ARM64, and z/OS implementations.

The most well known

IEEE-754 binary64-extended format

is

x87 80-bit extended precision format

. It is used by many x86 and x86-64 implementations (a notable exception is MSVC, which implements long double in the same format as double, i.e. binary64).

On PowerPC

double-double

can be used.

Properties

Floating-point types may support

special values

:

infinity (positive and negative), see

INFINITY

the negative zero, -0.0. It compares equal to the positive zero, but is meaningful in some arithmetic operations, e.g. 1.0/0.0==INFINITY, but 1.0/-0.0==-INFINITY), and for some mathematical functions, e.g.

sqrt(std::complex)

not-a-number (NaN), which does not compare equal with anything (including itself). Multiple bit patterns represent NaNs, see

std::nan

,

NAN

. Note that C++ takes no special notice of signalling NaNs other than detecting their support by

std::numeric_limits::has_signaling_NaN

, and treats all NaNs as quiet.

Floating-point numbers may be used with

arithmetic operators

+, -, /, and * as well as various mathematical functions from

<cmath>

. Both built-in operators and library functions may raise floating-point exceptions and set

errno

as described in

math errhandling

.

Floating-point expressions may have greater range and precision than indicated by their types, see

FLT_EVAL_METHOD

. Floating-point expressions may also be contracted, that is, calculated as if all intermediate values have infinite range and precision, see

#pragma STDC FP_CONTRACT

. Standard C++ does not restrict the accuracy of floating-point operations.

Some operations on floating-point numbers are affected by and modify the state of

the floating-point environment

(most notably, the rounding direction).

Implicit conversions

are defined between floating types and integer types.

See

limits of floating-point types

and

std::numeric_limits

for additional details, limits, and properties of the floating-point types.

Range of values

The following table provides a reference for the limits of common numeric representations.

Prior to C++20, the C++ Standard allowed any signed integer representation, and the minimum guaranteed range of N-bit signed integers was from -(2N-1
-1) to +2N-1
-1 (e.g. −127 to 127 for a signed 8-bit type), which corresponds to the limits of

ones' complement

or

sign-and-magnitude

.

However, all C++ compilers use

two's complement

representation, and as of C++20, it is the only representation allowed by the standard, with the guaranteed range from -2N-1
to +2N-1
-1 (e.g. −128 to 127 for a signed 8-bit type).

8-bit ones' complement and sign-and-magnitude representations for char have been disallowed since C++11 (via the resolution of

CWG issue 1759

), because a UTF-8 code unit of value 0x80 used in a

UTF-8 string literal

must be storable in a char type object.

The range for a floating-point type T is defined as follows:

The minimum guaranteed range is the most negative finite floating-point number representable in T through the most positive finite floating-point number representable in T.

If negative infinity is representable in T, the range of T is extended to all negative real numbers.

If positive infinity is representable in T, the range of T is extended to all positive real numbers.

Since negative and positive infinity are representable in

ISO/IEC/IEEE 60559

formats, all real numbers lie within the range of representable values of a floating-point type adhering to ISO/IEC/IEEE 60559.

Type Size in bits Format Value range Approximate Exact character 8 signed −128 to 127unsigned 0 to 25516 UTF-16 0 to 6553532 UTF-32 0 to 1114111 (0x10ffff) integer 16 signed ± 3.27 · 104−32768 to 32767unsigned 0 to 6.55 · 1040 to 6553532 signed ± 2.14 · 109−2,147,483,648 to 2,147,483,647unsigned 0 to 4.29 · 1090 to 4,294,967,29564 signed ± 9.22 · 1018−9,223,372,036,854,775,808 to 9,223,372,036,854,775,807unsigned 0 to 1.84 · 10190 to 18,446,744,073,709,551,615binary
floating-
point 32

IEEE-754

min subnormal:
± 1.401,298,4 · 10−45

min normal:
± 1.175,494,3 · 10−38

max:
± 3.402,823,4 · 1038

min subnormal:
±0x1p−149

min normal:
±0x1p−126

max:
±0x1.fffffep+127

64

IEEE-754

min subnormal:
± 4.940,656,458,412 · 10−324

min normal:
± 2.225,073,858,507,201,4 · 10− 308

max:
± 1.797,693,134,862,315,7 · 10308

min subnormal:
±0x1p−1074

min normal:
±0x1p−1022

max:
±0x1.fffffffffffffp+1023

80

[note 1]

x86

min subnormal:
± 3.645,199,531,882,474,602,528
· 10−4951

min normal:
± 3.362,103,143,112,093,506,263
· 10−4932

max:
± 1.189,731,495,357,231,765,021
· 104932

min subnormal:
±0x1p−16445

min normal:
±0x1p−16382

max:
±0x1.fffffffffffffffep+16383

128

IEEE-754

min subnormal:
± 6.475,175,119,438,025,110,924,
438,958,227,646,552,5 · 10−4966

min normal:
± 3.362,103,143,112,093,506,262,
677,817,321,752,602,6 · 10−4932

max:
± 1.189,731,495,357,231,765,085,
759,326,628,007,016,2 · 104932

min subnormal:
±0x1p−16494

min normal:
±0x1p−16382

max:
±0x1.ffffffffffffffffffffffffffff
p+16383

The object representation usually occupies 96/128 bits on 32/64-bit platforms respectively.

Note: actual (as opposed to guaranteed minimal) limits on the values representable by these types are available in

C numeric limits interface

and

std::numeric_limits

.

Data models

The choices made by each implementation about the sizes of the fundamental types are collectively known as data model. Four data models found wide acceptance:

32 bit systems:

LP32 or 2/4/4 (int is 16-bit, long and pointer are 32-bit)

Win16 API

ILP32 or 4/4/4 (int, long, and pointer are 32-bit);

Win32 API

Unix and Unix-like systems (Linux, macOS)

64 bit systems:

LLP64 or 4/4/8 (int and long are 32-bit, pointer is 64-bit)

Win32 API

(also called the Windows API) with compilation target

64-bit ARM

(AArch64) or

x86-64

(a.k.a. x64)

LP64 or 4/8/8 (int is 32-bit, long and pointer are 64-bit)

Unix and Unix-like systems (Linux, macOS)

Other models are very rare. For example, ILP64 (8/8/8: int, long, and pointer are 64-bit) only appeared in some early 64-bit Unix systems (e.g.

UNICOS on Cray

).

Notes

Feature-test macro ValueStdFeature

__cpp_unicode_characters

200704L

(C++11)New character types (char16_t and char32_t)

__cpp_char8_t

201811L

(C++20)char8_t

202207L

(C++23)char8_t compatibility and portability fix (

allow initialization of (unsigned) char arrays

from

UTF-8 string literals

) Keywords

void

,

bool

,

true

,

false

,

char

,

char8_t

,

char16_t

,

char32_t

,

wchar_t

,

int

,

short

,

long

,

signed

,

unsigned

,

float

,

double

Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior

CWG 238

C++98 the constraints placed on a floating-point implementation was unspecified specified as
no constraint

CWG 1759

C++11 char is not guaranteed to be able to represent UTF-8 code unit 0x80 guaranteed

CWG 2689

C++11 cv-qualified

std::nullptr_t

was not a fundemental type it is

CWG 2723

C++98 the ranges of representable values for floating-point types were not specified specified

P2460R2

C++98 wchar_t was required to be able to represent distinct codes for all members
of the largest extended character set specified among the supported locales not required References

C++23 standard (ISO/IEC 14882:2024):

6.8.2 Fundamental types [basic.fundamental]

C++20 standard (ISO/IEC 14882:2020):

6.8.1 Fundamental types [basic.fundamental]

C++17 standard (ISO/IEC 14882:2017):

6.9.1 Fundamental types [basic.fundamental]

C++14 standard (ISO/IEC 14882:2014):

3.9.1 Fundamental types [basic.fundamental]

C++11 standard (ISO/IEC 14882:2011):

3.9.1 Fundamental types [basic.fundamental]

C++03 standard (ISO/IEC 14882:2003):

3.9.1 Fundamental types [basic.fundamental]

C++98 standard (ISO/IEC 14882:1998):

3.9.1 Fundamental types [basic.fundamental]

See also

The C++ type system overview

Const-volatility (cv) specifiers and qualifiers

Storage duration specifiers