Manpages - nextafter.3p

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.

nextafter, nextafterf, nextafterl, nexttoward, nexttowardf, nexttowardl — next representable floating-point number

  #include <math.h>
  double nextafter(double x, double y);
  float nextafterf(float x, float y);
  long double nextafterl(long double x, long double y);
  double nexttoward(double x, long double y);
  float nexttowardf(float x, long double y);
  long double nexttowardl(long double x, long double y);

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.1‐2017 defers to the ISO C standard.

The nextafter/(), /nextafterf/(), and /nextafterl/() functions shall compute the next representable floating-point value following /x in the direction of y. Thus, if y is less than x, nextafter/() shall return the largest representable floating-point number less than /x. The nextafter/(), /nextafterf/(), and /nextafterl/() functions shall return /y if x equals y.

The /nexttoward/(), /nexttowardf/(), and /nexttowardl/() functions shall be equivalent to the corresponding /nextafter/() functions, except that the second parameter shall have type long double and the functions shall return y converted to the type of the function if x equals y.

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.

Upon successful completion, these functions shall return the next representable floating-point value following x in the direction of y.

If x/== /y, y (of the type x) shall be returned.

If x is finite and the correct function value would overflow, a range error shall occur and ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL (with the same sign as x) shall be returned as appropriate for the return type of the function.

If x or y is NaN, a NaN shall be returned.

If x!= y and the correct function value is subnormal, zero, or underflows, a range error shall occur, and
the correct function value (if representable) or
0.0 shall be returned.

These functions shall fail if:

Range Error

The correct value overflows.

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 overflow floating-point exception shall be raised.

Range Error

The correct value is subnormal or 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.

None.

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.

When <tgmath.h> is included, note that the return type of /nextafter/() depends on the generic typing deduced from both arguments, while the return type of /nexttoward/() depends only on the generic typing of the first argument.

None.

None.

/feclearexcept ( )/, /fetestexcept ( )/

The Base Definitions volume of POSIX.1‐2017, Section 4.20, Treatment of Error Conditions for Mathematical Functions, <math.h>, <tgmath.h>

Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1-2017, Standard for Information Technology – Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 7, 2018 Edition, Copyright (C) 2018 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html .

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