# pow (3p)

# PROLOG

This manual page is part of the POSIX Programmer's Manual. The Linux implementation of this interface may differ (consult the corresponding Linux manual page for details of Linux behavior), or the interface may not be implemented on Linux.# NAME

pow, powf, powl — power function# SYNOPSIS

#include <math.h>

double pow(doublex, doubley); float powf(floatx, floaty); long double powl(long doublex, long doubley);

# DESCRIPTION

The functionality described on this reference page is aligned with the ISO C standard. Any conflict between the requirements described here and the ISO C standard is unintentional. This volume of POSIX.1‐2008 defers to the ISO C standard. These functions shall compute the value of*x*raised to the power

*y*,

*xy*. If

*x*is negative, the application shall ensure that

*y*is an integer value. An application wishing to check for error situations should set

*errno*to zero and call

*feclearexcept*(FE_ALL_EXCEPT) before calling these functions. On return, if

*errno*is non-zero or

*fetestexcept*(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

# RETURN VALUE

Upon successful completion, these functions shall return the value of*x*raised to the power

*y*. For finite values of

*x*< 0, and finite non-integer values of

*y*, a domain error shall occur and either a NaN (if representable), or an implementation-defined value shall be returned. If the correct value would cause overflow, a range error shall occur and

*pow*(),

*powf*(), and

*powl*() shall return ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL, respectively, with the same sign as the correct value of the function. If the correct value would cause underflow, and is not representable, a range error may occur, and

*pow*(),

*powf*(), and

*powl*() shall return 0.0, or (if IEC 60559 Floating-Point is not supported) an implementation-defined value no greater in magnitude than DBL_MIN, FLT_MIN, and LDBL_MIN, respectively. For

*y*< 0, if

*x*is zero, a pole error may occur and

*pow*(),

*powf*(), and

*powl*() shall return ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL, respectively. On systems that support the IEC 60559 Floating-Point option, if

*x*is ±0, a pole error shall occur and

*pow*(),

*powf*(), and

*powl*() shall return ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL, respectively if

*y*is an odd integer, or HUGE_VAL, HUGE_VALF, and HUGE_VALL, respectively if

*y*is not an odd integer. If

*x*or

*y*is a NaN, a NaN shall be returned (unless specified elsewhere in this description). For any value of

*y*(including NaN), if

*x*is +1, 1.0 shall be returned. For any value of

*x*(including NaN), if

*y*is ±0, 1.0 shall be returned. For any odd integer value of

*y*> 0, if

*x*is ±0, ±0 shall be returned. For

*y*> 0 and not an odd integer, if

*x*is ±0, +0 shall be returned. If

*x*is −1, and

*y*is ±Inf, 1.0 shall be returned. For |

*x*| < 1, if

*y*is −Inf, +Inf shall be returned. For |

*x*| > 1, if

*y*is −Inf, +0 shall be returned. For |

*x*| < 1, if

*y*is +Inf, +0 shall be returned. For |

*x*| > 1, if

*y*is +Inf, +Inf shall be returned. For

*y*an odd integer < 0, if

*x*is −Inf, −0 shall be returned. For

*y*< 0 and not an odd integer, if

*x*is −Inf, +0 shall be returned. For

*y*an odd integer > 0, if

*x*is −Inf, −Inf shall be returned. For

*y*> 0 and not an odd integer, if

*x*is −Inf, +Inf shall be returned. For

*y*< 0, if

*x*is +Inf, +0 shall be returned. For

*y*> 0, if

*x*is +Inf, +Inf shall be returned. If the correct value would cause underflow, and is representable, a range error may occur and the correct value shall be returned.

# ERRORS

These functions shall fail if:- Domain Error
- The value of
*x*is negative and*y*is a finite non-integer.

If the integer expression (

*math_errhandling*& MATH_ERRNO) is non-zero, then*errno*shall be set to**[EDOM]**. If the integer expression (*math_errhandling*& MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised.- Pole Error
- The value of
*x*is zero and*y*is negative.

If the integer expression (

*math_errhandling*& MATH_ERRNO) is non-zero, then*errno*shall be set to**[ERANGE]**. If the integer expression (*math_errhandling*& MATH_ERREXCEPT) is non-zero, then the divide-by-zero floating-point exception shall be raised.- Range Error
- The result overflows.

If the integer expression (

These functions may fail if:
*math_errhandling*& MATH_ERRNO) is non-zero, then*errno*shall be set to**[ERANGE]**. If the integer expression (*math_errhandling*& MATH_ERREXCEPT) is non-zero, then the overflow floating-point exception shall be raised.- Pole Error
- The value of
*x*is zero and*y*is negative.

If the integer expression (

*math_errhandling*& MATH_ERRNO) is non-zero, then*errno*shall be set to**[ERANGE]**. If the integer expression (*math_errhandling*& MATH_ERREXCEPT) is non-zero, then the divide-by-zero floating-point exception shall be raised.- Range Error
- The result underflows.

If the integer expression (

*math_errhandling*& MATH_ERRNO) is non-zero, then*errno*shall be set to**[ERANGE]**. If the integer expression (*math_errhandling*& MATH_ERREXCEPT) is non-zero, then the underflow floating-point exception shall be raised.*The following sections are informative.*

# EXAMPLES

None.# APPLICATION USAGE

On error, the expressions (*math_errhandling*& MATH_ERRNO) and (

*math_errhandling*& MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.

# RATIONALE

None.# FUTURE DIRECTIONS

None.# SEE ALSO

*,*

*exp*()*,*

*feclearexcept*()*,*

*fetestexcept*()*The Base Definitions volume of POSIX.1‐2008,*

*isnan*()*Section 4.19*,

*Treatment of Error Conditions for Mathematical Functions*,

**<math.h>**