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# Arithmetic types

From cppreference.com
< cpp‎ | language

(See also type for type system overview and the list of type-related utilities that are provided by the C++ library)

### [edit] Boolean type

  bool - type, capable of holding one of the two values: true or false.

### [edit] Character types

  signed char - type for signed character representation.
  unsigned char - type for unsigned character representation.
  char - type for character representation which can be most efficiently processed on the target system (equivalent to either signed char or unsigned char, but still different type).

  wchar_t - type for wide character representation
  char16_t - type for UTF-16 character representation (since C++11)
  char32_t - type for UTF-32 character representation (since C++11)

### [edit] Integer types

  int - basic integer type. Can be omitted if any of the modifiers are present. If no length modifiers are present, guaranteed to have 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).

#### [edit] Modifiers

Modifies the 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 representation

Size

  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)

#### [edit] Properties

The following table summarizes all available integer types and their properties:

Type specifier | Equivalent type | Width in bits by data model
--- | --- | ---
C++ standard | LP32 | ILP32 | LLP64 | LP64
short | short int | at least 16 | 16 | 16 | 16 | 16
short int
signed short
signed short int
unsigned short | unsigned short int
unsigned short int
int | int | at least 16 | 16 | 32 | 32 | 32
signed
signed int
unsigned | unsigned int
unsigned int
long | long int | at least 32 | 32 | 32 | 32 | 64
long int
signed long
signed long int
unsigned long | unsigned long int
unsigned long int
long long | long long int (C++11) | at least 64 | 64 | 64 | 64 | 64
long long int
signed long long
signed long long int
unsigned long long | unsigned long long int (C++11)
unsigned long long int

Besides the minimal bit counts, the C++ Standard guarantees that

  1 == sizeof(char) <= sizeof(short) <= sizeof(int) <= sizeof(long) <= sizeof(long long).

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.

Note: integer arithmetic is defined differently for the signed and unsigned integer types. See arithmetic operators, in particular integer overflows.

#### [edit] 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, Mac OS X)

64 bit systems:

  - LLP64 or 4/4/8 (int and long are 32-bit, pointer is 64-bit)
    - Win64 API
  - LP64 or 4/8/8 (int is 32-bit, long and pointer are 64-bit)
    - Unix and Unix-like systems (Linux, Mac OS X)

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).

### [edit] Floating point types

  float - single precision floating point type. Usually IEEE-754 32 bit floating point type

  double - double precision floating point type. Usually IEEE-754 64 bit floating point type

  long double - extended precision floating point type. Does not necessarily map to types mandated by IEEE-754. Usually 80-bit x87 floating point type on x86 and x86-64 architectures.

### [edit] Range of values

The following table provides a reference for the limits of common numeric representations. As the C++ Standard allows any signed integer representation, the table gives both the minimum guaranteed requirements (which correspond to the limits of one's complement or sign-and-magnitude) and the limits of the most commonly used implementation, two's complement. All popular data models (including all of ILP32, LP32, LP64, LLP64) use two's complement representation, though.

Type | Size in bits | Format | Value range
--- | --- | --- | ---
Approximate | Exact
character | 8 | signed (one's complement) | -127 to 127
signed (two's complement) | -128 to 127
unsigned | 0 to 255
integral | 16 | signed (one's complement) | ± 3.27 · 104 | -32767 to 32767
signed (two's complement) | -32768 to 32767
unsigned | 0 to 6.55 · 104 | 0 to 65535
32 | signed (one's complement) | ± 2.14 · 109 | -2,147,483,647 to 2,147,483,647
signed (two's complement) | -2,147,483,648 to 2,147,483,647
unsigned | 0 to 4.29 · 109 | 0 to 4,294,967,295
64 | signed (one's complement) | ± 9.22 · 1018 | -9,223,372,036,854,775,807 to 9,223,372,036,854,775,807
signed (two's complement) | -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
unsigned | 0 to 1.84 · 1019 | 0 to 18,446,744,073,709,551,615
floating point | 32 | IEEE-754 | ± 3.4 · 10± 38 (~7 digits) | min subnormal: ± 1.401,298,4 · 10-47 min normal: ± 1.175,494,3 · 10-38 max: ± 3.402,823,4 · 1038
64 | IEEE-754 | ± 1.7 · 10± 308 (~15 digits) | 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

### [edit] Keywords

`bool`, `true`, `false`, `char`, `wchar_t`, `char16_t`, `char32_t`, `int`, `short`, `long`, `signed`, `unsigned`, `float`, `double`

### [edit] See also

- the C++ type system overview
- cv specifiers
- storage duration specifiers

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