Originální popis anglicky:
atanh, atanhf, atanhl - inverse hyperbolic tangent functions
Návod, kniha: POSIX Programmer's Manual
#include <math.h>
double atanh(double
x);
float atanhf(float
x);
long double atanhl(long double
x);
These functions shall compute the inverse hyperbolic tangent of their argument
x.
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 inverse hyperbolic
tangent of their argument.
If
x is ±1, a pole error shall occur, and
atanh(),
atanhf(), and
atanhl() shall return the value of the macro
HUGE_VAL, HUGE_VALF, and HUGE_VALL, respectively, with the same sign as the
correct value of the function.
For finite |
x|>1, a domain error shall occur, and either a
NaN (if supported), or an implementation-defined value shall be
returned.
If
x is NaN, a NaN shall be returned.
If
x is ±0,
x shall be returned.
If
x is ±Inf, a domain error shall occur, and either a NaN (if
supported), or an implementation-defined value shall be returned.
If
x is subnormal, a range error may occur and
x should be
returned.
These functions shall fail if:
- Domain Error
- The x argument is finite and not in the range
[-1,1], or is ±Inf.
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 x argument is ±1.
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.
These functions may fail if:
- Range Error
- The value of x is subnormal.
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.
None.
None.
feclearexcept() ,
fetestexcept() ,
tanh() , the Base
Definitions volume of IEEE Std 1003.1-2001, Section 4.18,
Treatment of Error Conditions for Mathematical Functions,
<math.h>
Portions of this text are reprinted and reproduced in electronic form from IEEE
Std 1003.1, 2003 Edition, Standard for Information Technology -- Portable
Operating System Interface (POSIX), The Open Group Base Specifications Issue
6, Copyright (C) 2001-2003 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
.
