C data types

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In the C programming language, data types are declarations for memory locations or variables that determine the characteristics of the data that may be stored and the methods (operations) of processing that are permitted involving them.

The C language provides basic arithmetic types, such as integer and real number types, and syntax to build array and compound types. Several header files in the C standard library contain definitions of support types, that have additional properties, such as providing storage with an exact size, independent of the implementation.[1][2]

Basic types

The C language provides the four basic arithmetic type specifiers char, int, float and double, and the modifiers signed, unsigned, short and long. The following table lists the permissible combinations to specify a large set of storage size-specific declarations.

Type Explanation Format Specifier
char Smallest addressable unit of the machine that can contain basic character set. It is an integer type. Actual type can be either signed or unsigned depending on the implementation. It contains CHAR_BIT bits.[3]  %c
signed char Of the same size as char, but guaranteed to be signed. Capable of containing at least the [−127, +127] range;[3][4]  %c (or %hhi for numerical output)
unsigned char Of the same size as char, but guaranteed to be unsigned. It is represented in binary notation without padding bits; thus, its range is exactly [0, 2CHAR_BIT − 1].[5]  %c (or %hhu for numerical output)
short
short int
signed short
signed short int
Short signed integer type. Capable of containing at least the [−32767, +32767] range;[3][4] thus, it is at least 16 bits in size. The negative value is −32767 (not −32768) due to the one's-complement and sign-magnitude representations allowed by the standard, though the two's-complement representation is much more common.[6]  %hi
unsigned short
unsigned short int
Similar to short, but unsigned.  %hu
int
signed
signed int
Basic signed integer type. Capable of containing at least the [−32767, +32767] range;[3][4] thus, it is at least 16 bits in size.  %i or %d
unsigned
unsigned int
Similar to int, but unsigned.  %u
long
long int
signed long
signed long int
Long signed integer type. Capable of containing at least the [−2147483647, +2147483647] range;[3][4] thus, it is at least 32 bits in size.  %li
unsigned long
unsigned long int
Similar to long, but unsigned.  %lu
long long
long long int
signed long long
signed long long int
Long long signed integer type. Capable of containing at least the [−9223372036854775807, +9223372036854775807] range;[3][4] thus, it is at least 64 bits in size. Specified since the C99 version of the standard.  %lli
unsigned long long
unsigned long long int
Similar to long long, but unsigned. Specified since the C99 version of the standard.  %llu
float Real floating-point type, usually referred to as a single-precision floating-point type. Actual properties unspecified (except minimum limits), however on most systems this is the IEEE 754 single-precision binary floating-point format. This format is required by the optional Annex F "IEC 60559 floating-point arithmetic".  %f (promoted automatically to double for printf())
double Real floating-point type, usually referred to as a double-precision floating-point type. Actual properties unspecified (except minimum limits), however on most systems this is the IEEE 754 double-precision binary floating-point format. This format is required by the optional Annex F "IEC 60559 floating-point arithmetic".  %f (%F)

(%lf (%lF) for scanf())
%g  %G
%e  %E (for scientific notation)[7]

long double Real floating-point type, usually mapped to an extended precision floating-point number format. Actual properties unspecified. Unlike types float and double, it can be either 80-bit floating point format, the non-IEEE "double-double" or IEEE 754 quadruple-precision floating-point format if a higher precision format is provided, otherwise it is the same as double. See the article on long double for details.  %Lf  %LF
%Lg  %LG
%Le  %LE[7]

The actual size of integer types varies by implementation. The standard only requires size relations between the data types and minimum sizes for each data type:

The relation requirements are that the long long is not smaller than long, which is not smaller than int, which is not smaller than short. As char's size is always the minimum supported data type, all other data types can't be smaller.

The minimum size for char is 8 bits, the minimum size for short and int is 16 bits, for long it is 32 bits and long long must contain at least 64 bits.

The type int should be the integer type that the target processor is most efficiently working with. This allows great flexibility: for example, all types can be 64-bit. However, several different integer width schemes (data models) are popular. This is because the data model defines how different programs communicate, a uniform data model is used within a given operating system application interface.[8]

In practice, it should be noted that char is usually 8 bits in size and short is usually 16 bits in size (as are their unsigned counterparts). This holds true for platforms as diverse as 1990s SunOS 4 Unix, Microsoft MS-DOS, modern Linux, and Microchip MCC18 for embedded 8-bit PIC microcontrollers. POSIX requires char to be exactly 8 bits in size.

Various rules in the C standard make unsigned char the basic type used for arrays suitable to store arbitrary non-bit-field objects: its lack of padding bits and trap representations, the definition of object representation,[5] and the possibility of aliasing.[9]

The actual size and behavior of floating-point types also vary by implementation. The only guarantee is that long double is not smaller than double, which is not smaller than float. Usually, the 32-bit and 64-bit IEEE 754 binary floating-point formats are used, if supported by hardware.

The C99 standard includes new real floating-point types float_t and double_t, defined in <math.h>. They correspond to the types used for the intermediate results of floating-point expressions when FLT_EVAL_METHOD is 0, 1, or 2. These types may be wider than long double.

C99 also added complex types: float _Complex, double _Complex, long double _Complex.

Boolean type

C99 added a boolean (true/false) type _Bool. Additionally, the new <stdbool.h> header defines bool as a convenient alias for this type, and also provides macros for true and false. _Bool functions similarly to a normal integral type, with one exception: any assignments to a _Bool that are not 0 (false) are stored as 1 (true). This behavior exists to avoid integer overflows. For example, in the following code:

unsigned char b = 256;

if (b) {
   /* do something */
}

b evaluates to false if unsigned char is 8 bits wide. However, changing the type causes the previous code to behave normally:

_Bool b = 256;

if (b) {
   /* do something */
}

Size and pointer difference types

The C language specification includes the typedefs size_t and ptrdiff_t to represent memory-related quantities. Their size is defined according to the target processor's arithmetic capabilities, not the memory capabilities, such as available address space. Both of these types are defined in the <stddef.h> header (cstddef header in C++).

size_t is an unsigned integer type used to represent the size of any object (including arrays) in the particular implementation. The sizeof operator yields a value of the type size_t. The maximum size of size_t is provided via SIZE_MAX, a macro constant which is defined in the <stdint.h> header (cstdint header in C++). size_t is guaranteed to be at least 16 bits wide. Additionally, POSIX includes ssize_t, which is a signed integral type of the same width as size_t.

ptrdiff_t is a signed integral type used to represent the difference between pointers. It is only guaranteed to be valid against pointers of the same type; subtraction of pointers consisting of different types is implementation-defined.

Interface to the properties of the basic types

Information about the actual properties, such as size, of the basic arithmetic types, is provided via macro constants in two headers: <limits.h> header (climits header in C++) defines macros for integer types and <float.h> header (cfloat header in C++) defines macros for floating-point types. The actual values depend on the implementation.

Properties of integer types
  • CHAR_BIT – size of the char type in bits (at least 8 bits)
  • SCHAR_MIN, SHRT_MIN, INT_MIN, LONG_MIN, LLONG_MIN(C99) – minimum possible value of signed integer types: signed char, signed short, signed int, signed long, signed long long
  • SCHAR_MAX, SHRT_MAX, INT_MAX, LONG_MAX, LLONG_MAX(C99) – maximum possible value of signed integer types: signed char, signed short, signed int, signed long, signed long long
  • UCHAR_MAX, USHRT_MAX, UINT_MAX, ULONG_MAX, ULLONG_MAX(C99) – maximum possible value of unsigned integer types: unsigned char, unsigned short, unsigned int, unsigned long, unsigned long long
  • CHAR_MIN – minimum possible value of char
  • CHAR_MAX – maximum possible value of char
  • MB_LEN_MAX – maximum number of bytes in a multibyte character
Properties of floating-point types
  • FLT_MIN, DBL_MIN, LDBL_MIN – minimum normalized positive value of float, double, long double respectively
  • FLT_TRUE_MIN, DBL_TRUE_MIN, LDBL_TRUE_MIN (C11) – minimum positive value of float, double, long double respectively
  • FLT_MAX, DBL_MAX, LDBL_MAX – maximum finite value of float, double, long double, respectively
  • FLT_ROUNDS – rounding mode for floating-point operations
  • FLT_EVAL_METHOD (C99) – evaluation method of expressions involving different floating-point types
  • FLT_RADIX – radix of the exponent in the floating-point types
  • FLT_DIG, DBL_DIG, LDBL_DIG – number of decimal digits that can be represented without losing precision by float, double, long double, respectively
  • FLT_EPSILON, DBL_EPSILON, LDBL_EPSILONdifference between 1.0 and the next representable value of float, double, long double, respectively
  • FLT_MANT_DIG, DBL_MANT_DIG, LDBL_MANT_DIG – number of FLT_RADIX-base digits in the floating-point significand for types float, double, long double, respectively
  • FLT_MIN_EXP, DBL_MIN_EXP, LDBL_MIN_EXP – minimum negative integer such that FLT_RADIX raised to a power one less than that number is a normalized float, double, long double, respectively
  • FLT_MIN_10_EXP, DBL_MIN_10_EXP, LDBL_MIN_10_EXP – minimum negative integer such that 10 raised to that power is a normalized float, double, long double, respectively
  • FLT_MAX_EXP, DBL_MAX_EXP, LDBL_MAX_EXP – maximum positive integer such that FLT_RADIX raised to a power one less than that number is a normalized float, double, long double, respectively
  • FLT_MAX_10_EXP, DBL_MAX_10_EXP, LDBL_MAX_10_EXP – maximum positive integer such that 10 raised to that power is a normalized float, double, long double, respectively
  • DECIMAL_DIG (C99) – minimum number of decimal digits such that any number of the widest supported floating-point type can be represented in decimal with a precision of DECIMAL_DIG digits and read back in the original floating-point type without changing its value. DECIMAL_DIG is at least 10.

Fixed-width integer types

The C99 standard includes definitions of several new integer types to enhance the portability of programs.[2] The already available basic integer types were deemed insufficient, because their actual sizes are implementation defined and may vary across different systems. The new types are especially useful in embedded environments where hardware usually supports only several types and that support varies between different environments. All new types are defined in <inttypes.h> header (cinttypes header in C++) and also are available at <stdint.h> header (cstdint header in C++). The types can be grouped into the following categories:

  • Exact-width integer types which are guaranteed to have the same number N of bits across all implementations. Included only if it is available in the implementation.
  • Least-width integer types which are guaranteed to be the smallest type available in the implementation, that has at least specified number N of bits. Guaranteed to be specified for at least N=8,16,32,64.
  • Fastest integer types which are guaranteed to be the fastest integer type available in the implementation, that has at least specified number N of bits. Guaranteed to be specified for at least N=8,16,32,64.
  • Pointer integer types which are guaranteed to be able to hold a pointer. Included only if it is available in the implementation.
  • Maximum-width integer types which are guaranteed to be the largest integer type in the implementation.

The following table summarizes the types and the interface to acquire the implementation details (N refers to the number of bits):

Type category Signed types Unsigned types
Type Minimum value Maximum value Type Minimum value Maximum value
Exact width intN_t INTN_MIN INTN_MAX uintN_t 0 UINTN_MAX
Least width int_leastN_t INT_LEASTN_MIN INT_LEASTN_MAX uint_leastN_t 0 UINT_LEASTN_MAX
Fastest int_fastN_t INT_FASTN_MIN INT_FASTN_MAX uint_fastN_t 0 UINT_FASTN_MAX
Pointer intptr_t INTPTR_MIN INTPTR_MAX uintptr_t 0 UINTPTR_MAX
Maximum width intmax_t INTMAX_MIN INTMAX_MAX uintmax_t 0 UINTMAX_MAX

Printf and scanf format specifiers

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The <inttypes.h> header (cinttypes header in C++) provides features that enhance the functionality of the types defined in <stdint.h> header. Included are macros that define printf format string and scanf format string specifiers corresponding to the <stdint.h> types and several functions for working with intmax_t and uintmax_t types. This header was added in C99.

Printf format string

The macros are in the format PRI{fmt}{type}. Here {fmt} defines the output formatting and is one of d (decimal), x (hexadecimal), o (octal), u (unsigned) and i (integer). {type} defines the type of the argument and is one of N, FASTN, LEASTN, PTR, MAX, where N corresponds to the number of bits in the argument.

Scanf format string

The macros are in the format SCN{fmt}{type}. Here {fmt} defines the output formatting and is one of d (decimal), x (hexadecimal), o (octal), u (unsigned) and i (integer). {type} defines the type of the argument and is one of N, FASTN, LEASTN, PTR, MAX, where N corresponds to the number of bits in the argument.

Functions

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Structures

Structures are a way of storing multiple pieces of data in one variable. For example, say we wanted to store the name and birthday of a person in strings, in one variable. We could use a structure to house that data:

struct birthday
{
    char name[20];
    int day;
    int month;
    int year;
};

Structures may contain pointers to structs of its own type, which is common in linked data structures.

A C implementation has freedom to design the memory layout of the struct, with few restrictions; one being that the memory address of the first member will be the same as the address of struct itself. Structs may be initialized or assigned to using compound literals. A user-written function can directly return a structure, though it will often not be very efficient at run-time. Since C99, a struct can also end with a flexible array member.

Arrays

For every type T, except void and function types, there exist the types "array of N elements of type T". An array is a collection of values, all of the same type, stored contiguously in memory. An array of size N is indexed by integers from 0 up to and including N-1. There are also "arrays of unspecified size" where the number of elements is not known by the compiler. Here is a brief example:

int cat[10];  // array of 10 elements, each of type int
int bob[];    // array of an unspecified number of 'int' elements.

Arrays can be initialized with a compound initializer, but not assigned. Arrays are passed to functions by passing a pointer to the first element. Multidimensional arrays are defined as "array of array …", and all except the outermost dimension must have compile-time constant size:

int a[10][8];  // array of 10 elements, each of type 'array of 8 int elements'
float f[][32]; // array of unspecified number of 'array of 32 float elements'

Pointer types

For every type T there exists a type “pointer to T”.

Variables can be declared as being pointers to values of various types, by means of the * type declarator. To declare a variable as a pointer, precede its name with an asterisk.

char *square;
long *circle;

Hence "for every type T" also applies to pointer types there exists multi-indirect pointers like char** or int*** and so on. There exists also "pointer to array" types, but they are less common than "array of pointer", and their syntax is quite confusing:

char *pc[10]; // array of 10 elements of 'pointer to char'
char (*pa)[10]; // pointer to a 10-element array of char

pc consumes 10×sizeof(char*) bytes (usually 40 or 80 bytes on common platforms), but pa is only one pointer, so sizeof(pa) is usually 4 or 8, and the data it refers to is an array of 10 bytes: sizeof(*pa) == 10.

Unions

Union types are special structures which allow access to the same memory using different type descriptions; one could, for example, describe a union of data types which would allow reading the same data as an integer, a float or a user declared type:

union
{
    int i;
    float f;
    struct
    {
        unsigned int u;
        double d;
    } s;
} u;

In the above example the total size of u is the size of u.s (which happens to be the sum of the sizes of u.s.u and u.s.d), since s is larger than both i and f. When assigning something to u.i, some parts of u.f may be preserved if u.i is smaller than u.f.

Reading from a union member is not the same as casting since the value of the member is not converted, but merely read.

Function pointers

Function pointers allow referencing functions with a particular signature. For example, to store the address of the standard function abs in the variable my_int_f:

int (*my_int_f)(int) = &abs;
// the & operator can be omitted, but makes clear that the "address of" abs is used here

Function pointers are invoked by name just like normal function calls. Function pointers are separate from pointers and void pointers.

Type qualifiers

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The aforementioned types can be characterized further by type qualifiers, yielding a qualified type. As of 2014 and C11, there are four type qualifiers in standard C: const (C89), volatile (C89), restrict (C99) and _Atomic (C11) – the latter has a private name to avoid clashing with user names,[10] but the more ordinary name atomic can be used if the <stdatomic.h> header is included. Of these, const is by far the best-known and most used, appearing in the standard library and encountered in any significant use of the C language, which must satisfy const-correctness. The other qualifiers are used for low-level programming, and while widely used there, are rarely used by typical programmers[citation needed].

See also

References

  1. Lua error in package.lua at line 80: module 'strict' not found.
  2. 2.0 2.1 Lua error in package.lua at line 80: module 'strict' not found.
  3. 3.0 3.1 3.2 3.3 3.4 3.5 Lua error in package.lua at line 80: module 'strict' not found.
  4. 4.0 4.1 4.2 4.3 4.4 Despite standard sets interval from -2n-1 to 2n-1, almost all compilers (gcc, clang with all warning flags, and microsoft compiler) allow to set range from -2n-1-1 to 2n-1
  5. 5.0 5.1 Lua error in package.lua at line 80: module 'strict' not found.
  6. Lua error in package.lua at line 80: module 'strict' not found.
  7. 7.0 7.1 Uppercase differs from lowercase in the output. Uppercase specifiers produce values in the uppercase, and lowecase in lower (%E, %F, %G produce such values as INF, NAN and E (exponent) in uppercase).
  8. Lua error in package.lua at line 80: module 'strict' not found.
  9. Lua error in package.lua at line 80: module 'strict' not found.
  10. C11:The New C Standard, Thomas Plum