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  12 .TH atanh 3M "12 Jul 2006" "SunOS 5.11" "Mathematical Library Functions"
  13 .SH NAME
  14 atanh, atanhf, atanhl \- inverse hyperbolic tangent functions
  15 .SH SYNOPSIS
  16 .LP
  17 .nf
  18 c99 [ \fIflag\fR... ] \fIfile\fR... \fB-lm\fR [ \fIlibrary\fR... ]
  19 #include <math.h>
  20 
  21 \fBdouble\fR \fBatanh\fR(\fBdouble\fR \fIx\fR);
  22 .fi
  23 
  24 .LP
  25 .nf
  26 \fBfloat\fR \fBatanhf\fR(\fBfloat\fR \fIx\fR);
  27 .fi
  28 
  29 .LP
  30 .nf
  31 \fBlong double\fR \fBatanhl\fR(\fBlong double\fR \fIx\fR);
  32 .fi
  33 
  34 .SH DESCRIPTION
  35 .sp
  36 .LP
  37 These functions compute the inverse hyperbolic tangent of their argument
  38 \fIx\fR.
  39 .SH RETURN VALUES
  40 .sp
  41 .LP
  42 Upon successful completion, these functions return the inverse hyperbolic
  43 tangent of their argument.
  44 .sp
  45 .LP
  46 If \fIx\fR is \(+-1, a pole error occurs and \fBatanh()\fR, \fBatanhf()\fR, and
  47 \fBatanhl()\fR return the value of the macro \fBHUGE_VAL\fR, \fBHUGE_VALF\fR,
  48 and \fBHUGE_VALL\fR, respectively, with the same sign as the correct value of
  49 the function.
  50 .sp
  51 .LP
  52 For finite |\fIx\fR| > 1, a domain error occurs and a NaN is returned.
  53 .sp
  54 .LP
  55 If \fIx\fR is NaN, NaN is returned.
  56 .sp
  57 .LP
  58 If \fIx\fR is +0, \fIx\fR is returned.
  59 .sp
  60 .LP
  61 If \fIx\fR is +Inf, a domain error occurs and a NaN is returned.
  62 .sp
  63 .LP
  64 For exceptional cases, \fBmatherr\fR(3M) tabulates the values to be returned by
  65 \fBatanh()\fR as specified by SVID3 and XPG3.
  66 .SH ERRORS
  67 .sp
  68 .LP
  69 These functions will fail if:
  70 .sp
  71 .ne 2
  72 .mk
  73 .na
  74 \fBDomain Error\fR
  75 .ad
  76 .RS 16n
  77 .rt  
  78 The \fIx\fR argument is finite and not in the range [-1,1], or is \(+-Inf.
  79 .sp
  80 If the integer expression (\fBmath_errhandling\fR & \fBMATH_ERREXCEPT\fR) is
  81 non-zero, the invalid floating-point exception is raised.
  82 .sp
  83 The \fBatanh()\fR function sets \fBerrno\fR to \fBEDOM\fR if the absolute value
  84 of \fIx\fR is greater than 1.0.
  85 .RE
  86 
  87 .sp
  88 .ne 2
  89 .mk
  90 .na
  91 \fBPole Error\fR
  92 .ad
  93 .RS 16n
  94 .rt  
  95 The \fIx\fR argument is \(+-1.
  96 .sp
  97 If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then
  98 the divide-by-zero floating-point exception is raised.
  99 .sp
 100 The \fBatanh()\fR function sets \fBerrno\fR to \fBERANGE\fR if the absolute
 101 value of \fIx\fR is equal to 1.0.
 102 .RE
 103 
 104 .SH USAGE
 105 .sp
 106 .LP
 107 An application wanting to check for exceptions should call
 108 \fBfeclearexcept\fR(\fBFE_ALL_EXCEPT\fR) before calling these functions. On
 109 return, if \fBfetestexcept\fR(\fBFE_INVALID\fR | \fBFE_DIVBYZERO\fR |
 110 \fBFE_OVERFLOW\fR | \fBFE_UNDERFLOW\fR) is non-zero, an exception has been
 111 raised. An application should either examine the return value or check the
 112 floating point exception flags to detect exceptions.
 113 .sp
 114 .LP
 115 An application can also set \fBerrno\fR to 0 before calling \fBatanh()\fR. On
 116 return, if \fBerrno\fR is non-zero, an error has occurred. The \fBatanhf()\fR
 117 and \fBatanhl()\fR functions do not set \fBerrno\fR.
 118 .SH ATTRIBUTES
 119 .sp
 120 .LP
 121 See \fBattributes\fR(5) for descriptions of the following attributes:
 122 .sp
 123 
 124 .sp
 125 .TS
 126 tab() box;
 127 cw(2.75i) |cw(2.75i) 
 128 lw(2.75i) |lw(2.75i) 
 129 .
 130 ATTRIBUTE TYPEATTRIBUTE VALUE
 131 _
 132 Interface StabilityStandard
 133 _
 134 MT-LevelMT-Safe
 135 .TE
 136 
 137 .SH SEE ALSO
 138 .sp
 139 .LP
 140 \fBfeclearexcept\fR(3M), \fBfetestexcept\fR(3M), \fBmath.h\fR(3HEAD),
 141 \fBmatherr\fR(3M), \fBtanh\fR(3M), \fBattributes\fR(5), \fBstandards\fR(5)