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121 lines
3.8 KiB
Plaintext
121 lines
3.8 KiB
Plaintext
.\" Copyright (c) 2001-2003 The Open Group, All Rights Reserved
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.TH "ATANH" P 2003 "IEEE/The Open Group" "POSIX Programmer's Manual"
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.\" atanh
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.SH NAME
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atanh, atanhf, atanhl \- inverse hyperbolic tangent functions
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.SH SYNOPSIS
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.LP
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\fB#include <math.h>
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.br
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.sp
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double atanh(double\fP \fIx\fP\fB);
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.br
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float atanhf(float\fP \fIx\fP\fB);
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.br
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long double atanhl(long double\fP \fIx\fP\fB);
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.br
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\fP
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.SH DESCRIPTION
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.LP
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These functions shall compute the inverse hyperbolic tangent of their
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argument \fIx\fP.
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.LP
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An application wishing to check for error situations should set \fIerrno\fP
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to zero and call
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\fIfeclearexcept\fP(FE_ALL_EXCEPT) before calling these functions.
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On return, if \fIerrno\fP is non-zero or
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\fIfetestexcept\fP(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW)
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is non-zero, an error has occurred.
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.SH RETURN VALUE
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.LP
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Upon successful completion, these functions shall return the inverse
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hyperbolic tangent of their argument.
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.LP
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If \fIx\fP is \(+-1, a pole error shall occur, and \fIatanh\fP(),
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\fIatanhf\fP(), and \fIatanhl\fP() shall return the
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value of the macro HUGE_VAL, HUGE_VALF, and HUGE_VALL, respectively,
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with the same sign as the correct value of the function.
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.LP
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For finite |\fIx\fP|>1, a domain error shall occur, and \ either
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a NaN (if supported), or \ an implementation-defined value shall
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be returned.
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.LP
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If
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\fIx\fP is NaN, a NaN shall be returned.
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.LP
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If \fIx\fP is \(+-0, \fIx\fP shall be returned.
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.LP
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If \fIx\fP is \(+-Inf, a domain error shall occur, and either a NaN
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(if supported), or an implementation-defined value
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shall be returned.
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.LP
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If \fIx\fP is subnormal, a range error may occur and \fIx\fP should
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be returned.
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.SH ERRORS
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.LP
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These functions shall fail if:
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.TP 7
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Domain\ Error
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The \fIx\fP argument is finite and not in the range [-1,1], \ or
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is \(+-Inf.
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.LP
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If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
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then \fIerrno\fP shall be set to [EDOM]. If the
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integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
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then the invalid floating-point exception shall be
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raised.
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.TP 7
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Pole\ Error
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The \fIx\fP argument is \(+-1.
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.LP
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If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
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then \fIerrno\fP shall be set to [ERANGE]. If the
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integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
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then the divide-by-zero floating-point exception shall be
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raised.
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.sp
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.sp
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.LP
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These functions may fail if:
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.TP 7
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Range\ Error
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The value of \fIx\fP is subnormal.
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.LP
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If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
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then \fIerrno\fP shall be set to [ERANGE]. If the
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integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
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then the underflow floating-point exception shall be
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raised.
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.sp
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.LP
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\fIThe following sections are informative.\fP
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.SH EXAMPLES
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.LP
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None.
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.SH APPLICATION USAGE
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.LP
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On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling
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& MATH_ERREXCEPT) are independent of
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each other, but at least one of them must be non-zero.
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.SH RATIONALE
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.LP
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None.
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.SH FUTURE DIRECTIONS
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.LP
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None.
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.SH SEE ALSO
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.LP
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\fIfeclearexcept\fP() , \fIfetestexcept\fP() , \fItanh\fP() , the
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Base Definitions volume of IEEE\ Std\ 1003.1-2001, Section 4.18, Treatment
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of Error Conditions for Mathematical Functions, \fI<math.h>\fP
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.SH COPYRIGHT
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Portions of this text are reprinted and reproduced in electronic form
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from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
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-- Portable Operating System Interface (POSIX), The Open Group Base
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Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of
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Electrical and Electronics Engineers, Inc and The Open Group. In the
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event of any discrepancy between this version and the original IEEE and
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The Open Group Standard, the original IEEE and The Open Group Standard
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is the referee document. The original Standard can be obtained online at
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http://www.opengroup.org/unix/online.html .
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