Manpages - pow.3

Table of Contents

NAME

pow, powf, powl - power functions

SYNOPSIS

  #include <math.h>

  double pow(double x, double y);
  float powf(float x, float y);
  long double powl(long double x, long double y);

Link with -lm.

Feature Test Macro Requirements for glibc (see *feature_test_macros*(7)):

*powf*(), *powl*():

      _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
          || /* Since glibc 2.19: */ _DEFAULT_SOURCE
          || /* Glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

DESCRIPTION

These functions return the value of x raised to the power of y.

RETURN VALUE

On success, these functions return the value of x to the power of y.

If x is a finite value less than 0, and y is a finite noninteger, a domain error occurs, and a NaN is returned.

If the result overflows, a range error occurs, and the functions return HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively, with the mathematically correct sign.

If result underflows, and is not representable, a range error occurs, and 0.0 is returned.

Except as specified below, if x or y is a NaN, the result is a NaN.

If x is +1, the result is 1.0 (even if y is a NaN).

If y is 0, the result is 1.0 (even if x is a NaN).

If x is +0 (-0), and y is an odd integer greater than 0, the result is +0 (-0).

If x is 0, and y greater than 0 and not an odd integer, the result is +0.

If x is -1, and y is positive infinity or negative infinity, the result is 1.0.

If the absolute value of x is less than 1, and y is negative infinity, the result is positive infinity.

If the absolute value of x is greater than 1, and y is negative infinity, the result is +0.

If the absolute value of x is less than 1, and y is positive infinity, the result is +0.

If the absolute value of x is greater than 1, and y is positive infinity, the result is positive infinity.

If x is negative infinity, and y is an odd integer less than 0, the result is -0.

If x is negative infinity, and y less than 0 and not an odd integer, the result is +0.

If x is negative infinity, and y is an odd integer greater than 0, the result is negative infinity.

If x is negative infinity, and y greater than 0 and not an odd integer, the result is positive infinity.

If x is positive infinity, and y less than 0, the result is +0.

If x is positive infinity, and y greater than 0, the result is positive infinity.

If x is +0 or -0, and y is an odd integer less than 0, a pole error occurs and HUGE_VAL, HUGE_VALF, or HUGE_VALL, is returned, with the same sign as x.

If x is +0 or -0, and y is less than 0 and not an odd integer, a pole error occurs and +*HUGE_VAL*, +*HUGE_VALF*, or +*HUGE_VALL*, is returned.

ERRORS

See *math_error*(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

  • Domain error: x is negative, and y is a finite noninteger :: errno is set to EDOM. An invalid floating-point exception (FE_INVALID) is raised.
  • errno is set to ERANGE (but see BUGS). A divide-by-zero floating-point exception (FE_DIVBYZERO) is raised.
  • errno is set to ERANGE. An overflow floating-point exception (FE_OVERFLOW) is raised.
  • errno is set to ERANGE. An underflow floating-point exception (FE_UNDERFLOW) is raised.

ATTRIBUTES

For an explanation of the terms used in this section, see *attributes*(7).

Interface Attribute Value
*pow*(), *powf*(), *powl*() Thread safety MT-Safe

CONFORMING TO

C99, POSIX.1-2001, POSIX.1-2008.

The variant returning double also conforms to SVr4, 4.3BSD, C89.

BUGS

Historical bugs (now fixed)

Before glibc 2.28, on some architectures (e.g., x86-64) *pow*() may be more than 10,000 times slower for some inputs than for other nearby inputs. This affects only *pow*(), and not *powf*() nor *powl*(). This problem was fixed in glibc 2.28.

A number of bugs in the glibc implementation of *pow*() were fixed in glibc version 2.16.

In glibc 2.9 and earlier, when a pole error occurs, errno is set to EDOM instead of the POSIX-mandated ERANGE. Since version 2.10, glibc does the right thing.

In version 2.3.2 and earlier, when an overflow or underflow error occurs, glibc’s pow*() generates a bogus invalid floating-point exception (*FE_INVALID) in addition to the overflow or underflow exception.

SEE ALSO

*cbrt*(3), *cpow*(3), *sqrt*(3)

COLOPHON

This page is part of release 5.13 of the Linux man-pages project. A description of the project, information about reporting bugs, and the latest version of this page, can be found at https://www.kernel.org/doc/man-pages/.

Author: dt

Created: 2022-02-20 Sun 18:06