Numeric limits
From cppreference.com
Limits of library types
Defined in header
<stdint.h> | |
PTRDIFF_WIDTH (C23) |
bit width of object of ptrdiff_t type (macro constant) |
PTRDIFF_MIN (C99) |
minimum value of object of ptrdiff_t type (macro constant) |
PTRDIFF_MAX (C99) |
maximum value of object of ptrdiff_t type (macro constant) |
SIZE_WIDTH (C23) |
bit width of object of size_t type (macro constant) |
SIZE_MAX (C99) |
maximum value of object of size_t type (macro constant) |
SIG_ATOMIC_WIDTH (C23) |
bit width of object of sig_atomic_t type (macro constant) |
SIG_ATOMIC_MIN (C99) |
minimum value of object of sig_atomic_t type (macro constant) |
SIG_ATOMIC_MAX (C99) |
maximum value of object of sig_atomic_t type (macro constant) |
WINT_WIDTH (C23) |
bit width of object of wint_t type (macro constant) |
WINT_MIN (C99) |
minimum value of object of wint_t type (macro constant) |
WINT_MAX (C99) |
maximum value of object of wint_t type (macro constant) |
Defined in header
<wchar.h> | |
Defined in header
<stdint.h> | |
WCHAR_WIDTH (C23) |
bit width of object of wchar_t type (macro constant) |
WCHAR_MIN (C99) |
minimum value of object of wchar_t type (macro constant) |
WCHAR_MAX (C99) |
maximum value of object of wchar_t type (macro constant) |
Note: a freestanding implementation may lack sig_atomic_t and/or wint_t typedef names, in which case the SIG_ATOMIC_*
and/or WINT_*
macros are correspondingly absent.
Example
Run this code
#include <stdio.h> #include <stdint.h> #include <wchar.h> int main(void) { printf("PTRDIFF_MIN = %td\n", PTRDIFF_MIN); printf("PTRDIFF_MAX = %+td\n", PTRDIFF_MAX); printf("SIZE_MAX = %zu\n", SIZE_MAX); printf("SIG_ATOMIC_MIN = %+jd\n",(intmax_t)SIG_ATOMIC_MIN); printf("SIG_ATOMIC_MAX = %+jd\n",(intmax_t)SIG_ATOMIC_MAX); printf("WCHAR_MIN = %+jd\n",(intmax_t)WCHAR_MIN); printf("WCHAR_MAX = %+jd\n",(intmax_t)WCHAR_MAX); printf("WINT_MIN = %jd\n", (intmax_t)WINT_MIN); printf("WINT_MAX = %jd\n", (intmax_t)WINT_MAX); }
Possible output:
PTRDIFF_MIN = -9223372036854775808 PTRDIFF_MAX = +9223372036854775807 SIZE_MAX = 18446744073709551615 SIG_ATOMIC_MIN = -2147483648 SIG_ATOMIC_MAX = +2147483647 WCHAR_MIN = -2147483648 WCHAR_MAX = +2147483647 WINT_MIN = 0 WINT_MAX = 4294967295
Limits of integer types
Defined in header
<limits.h> | |
BOOL_WIDTH (C23) |
bit width of _Bool (macro constant) |
CHAR_BIT |
number of bits in a byte (macro constant) |
MB_LEN_MAX |
maximum number of bytes in a multibyte character (macro constant) |
CHAR_WIDTH (C23) |
bit width of char, same as CHAR_BIT (macro constant) |
CHAR_MIN |
minimum value of char (macro constant) |
CHAR_MAX |
maximum value of char (macro constant) |
SCHAR_WIDTHSHRT_WIDTHINT_WIDTHLONG_WIDTHLLONG_WIDTH (C23)(C23)(C23)(C23)(C23) |
bit width of signed char, short, int, long, and long long respectively (macro constant) |
SCHAR_MINSHRT_MININT_MINLONG_MINLLONG_MIN (C99) |
minimum value of signed char, short, int, long and long long respectively (macro constant) |
SCHAR_MAXSHRT_MAXINT_MAXLONG_MAXLLONG_MAX (C99) |
maximum value of signed char, short, int, long and long long respectively (macro constant) |
UCHAR_WIDTHUSHRT_WIDTHUINT_WIDTHULONG_WIDTHULLONG_WIDTH (C23)(C23)(C23)(C23)(C23) |
bit width of unsigned char, unsigned short, unsigned int, unsigned long, and unsigned long long respectively (macro constant) |
UCHAR_MAXUSHRT_MAXUINT_MAXULONG_MAXULLONG_MAX (C99) |
maximum value of unsigned char, unsigned short, unsigned int, unsigned long and unsigned long long respectively (macro constant) |
Example
Run this code
#include <stdio.h> #include <limits.h> int main(void) { printf("CHAR_BIT = %d\n", CHAR_BIT); printf("MB_LEN_MAX = %d\n\n", MB_LEN_MAX); printf("CHAR_MIN = %+d\n", CHAR_MIN); printf("CHAR_MAX = %+d\n", CHAR_MAX); printf("SCHAR_MIN = %+d\n", SCHAR_MIN); printf("SCHAR_MAX = %+d\n", SCHAR_MAX); printf("UCHAR_MAX = %u\n\n", UCHAR_MAX); printf("SHRT_MIN = %+d\n", SHRT_MIN); printf("SHRT_MAX = %+d\n", SHRT_MAX); printf("USHRT_MAX = %u\n\n", USHRT_MAX); printf("INT_MIN = %+d\n", INT_MIN); printf("INT_MAX = %+d\n", INT_MAX); printf("UINT_MAX = %u\n\n", UINT_MAX); printf("LONG_MIN = %+ld\n", LONG_MIN); printf("LONG_MAX = %+ld\n", LONG_MAX); printf("ULONG_MAX = %lu\n\n", ULONG_MAX); printf("LLONG_MIN = %+lld\n", LLONG_MIN); printf("LLONG_MAX = %+lld\n", LLONG_MAX); printf("ULLONG_MAX = %llu\n\n", ULLONG_MAX); }
Possible output:
CHAR_BIT = 8 MB_LEN_MAX = 16 CHAR_MIN = -128 CHAR_MAX = +127 SCHAR_MIN = -128 SCHAR_MAX = +127 UCHAR_MAX = 255 SHRT_MIN = -32768 SHRT_MAX = +32767 USHRT_MAX = 65535 INT_MIN = -2147483648 INT_MAX = +2147483647 UINT_MAX = 4294967295 LONG_MIN = -9223372036854775808 LONG_MAX = +9223372036854775807 ULONG_MAX = 18446744073709551615 LLONG_MIN = -9223372036854775808 LLONG_MAX = +9223372036854775807 ULLONG_MAX = 18446744073709551615
Limits of floating point types
Defined in header
<float.h> | |
FLT_RADIX |
the radix (integer base) used by the representation of all three floating-point types (macro constant) |
DECIMAL_DIG (C99) |
conversion from long double to decimal with at least DECIMAL_DIG digits and back to long double is the identity conversion: this is the decimal precision required to serialize/deserialize a long double (macro constant) |
FLT_DECIMAL_DIGDBL_DECIMAL_DIGLDBL_DECIMAL_DIG (C11) |
conversion from float/double/long double to decimal with at least FLT_DECIMAL_DIG /DBL_DECIMAL_DIG /LDBL_DECIMAL_DIG digits and back is the identity conversion: this is the decimal precision required to serialize/deserialize a floating point value. Defined to at least 6, 10, and 10 respectively, or 9 for IEEE float and 17 for IEEE double. (see also the C++ analog max_digits10) (macro constant) |
FLT_MINDBL_MINLDBL_MIN |
minimum, normalized, positive value of float, double and long double respectively (macro constant) |
FLT_TRUE_MINDBL_TRUE_MINLDBL_TRUE_MIN (C11) |
minimum positive value of float, double and long double respectively (macro constant) |
FLT_MAXDBL_MAXLDBL_MAX |
maximum finite value of float, double and long double respectively (macro constant) |
FLT_EPSILONDBL_EPSILONLDBL_EPSILON |
difference between 1.0 and the next representable value for float, double and long double respectively (macro constant) |
FLT_DIGDBL_DIGLDBL_DIG |
number of decimal digits that are guaranteed to be preserved in text -> float/double/long double -> text roundtrip without change due to rounding or overflow (see the C++ analog digits10 for detail) (macro constant) |
FLT_MANT_DIGDBL_MANT_DIGLDBL_MANT_DIG |
number of base-FLT_RADIX digits that are in the floating-point mantissa and that can be represented without losing precision for float, double and long double respectively (macro constant) |
FLT_MIN_EXPDBL_MIN_EXPLDBL_MIN_EXP |
minimum negative integer such that FLT_RADIX raised by power one less than that integer is a normalized float, double and long double respectively (macro constant) |
FLT_MIN_10_EXPDBL_MIN_10_EXPLDBL_MIN_10_EXP |
minimum negative integer such that 10 raised by power one less than that integer is a normalized float, double and long double respectively (macro constant) |
FLT_MAX_EXPDBL_MAX_EXPLDBL_MAX_EXP |
maximum positive integer such that FLT_RADIX raised by power one less than that integer is a representable finite float, double and long double respectively (macro constant) |
FLT_MAX_10_EXPDBL_MAX_10_EXPLDBL_MAX_10_EXP |
maximum positive integer such that 10 raised by power one less than that integer is a representable finite float, double and long double respectively (macro constant) |
rounding mode of floating-point arithmetics (macro constant) | |
(C99) |
use of extended precision for intermediate results: 0 not used, 1 double is used instead of float, 2: long double is used (macro constant) |
FLT_HAS_SUBNORMDBL_HAS_SUBNORMLDBL_HAS_SUBNORM (C11) |
whether the type supports subnormal (denormal) numbers: -1 indeterminable, 0 absent, 1 present (macro constant) |
Example
Run this code
#include <stdio.h> #include <float.h> #include <math.h> int main(void) { printf("DECIMAL_DIG = %d\n", DECIMAL_DIG); printf("FLT_DECIMAL_DIG = %d\n", FLT_DECIMAL_DIG); printf("FLT_RADIX = %d\n", FLT_RADIX); printf("FLT_MIN = %e\n", FLT_MIN); printf("FLT_MAX = %e\n", FLT_MAX); printf("FLT_EPSILON = %e\n", FLT_EPSILON); printf("FLT_DIG = %d\n", FLT_DIG); printf("FLT_MANT_DIG = %d\n", FLT_MANT_DIG); printf("FLT_MIN_EXP = %d\n", FLT_MIN_EXP); printf("FLT_MIN_10_EXP = %d\n", FLT_MIN_10_EXP); printf("FLT_MAX_EXP = %d\n", FLT_MAX_EXP); printf("FLT_MAX_10_EXP = %d\n", FLT_MAX_10_EXP); printf("FLT_ROUNDS = %d\n", FLT_ROUNDS); printf("FLT_EVAL_METHOD = %d\n", FLT_EVAL_METHOD); printf("FLT_HAS_SUBNORM = %d\n", FLT_HAS_SUBNORM); }
Possible output:
DECIMAL_DIG = 37 FLT_DECIMAL_DIG = 9 FLT_RADIX = 2 FLT_MIN = 1.175494e-38 FLT_MAX = 3.402823e+38 FLT_EPSILON = 1.192093e-07 FLT_DIG = 6 FLT_MANT_DIG = 24 FLT_MIN_EXP = -125 FLT_MIN_10_EXP = -37 FLT_MAX_EXP = 128 FLT_MAX_10_EXP = 38 FLT_ROUNDS = 1 FLT_EVAL_METHOD = 1 FLT_HAS_SUBNORM = 1
References
- C17 standard (ISO/IEC 9899:2018):
- 5.2.4.2 Numerical limits (p: 20-27)
- 7.20.3 Limits of other integer types (p: 215-216)
- C11 standard (ISO/IEC 9899:2011):
- 5.2.4.2 Numerical limits (p: 26-34)
- 7.20.3 Limits of other integer types (p: 293-294)
- C99 standard (ISO/IEC 9899:1999):
- 5.2.4.2 Numerical limits (p: 21-28)
- 7.18.3 Limits of other integer types (p: 259-260)
- C89/C90 standard (ISO/IEC 9899:1990):
- 2.2.4.2 Numerical limits