asinh, acosh, atanh - inverse hyperbolic functions
S
\bSY
\bYN
\bNO
\bOP
\bPS
\bSI
\bIS
\bS
#
\b#i
\bin
\bnc
\bcl
\blu
\bud
\bde
\be <
\b<m
\bma
\bat
\bth
\bh.
\b.h
\bh>
\b>
d
\bdo
\bou
\bub
\bbl
\ble
\be a
\bas
\bsi
\bin
\bnh
\bh(
\b(x
\bx)
\b)
d
\bdo
\bou
\bub
\bbl
\ble
\be x
\bx;
\b;
d
\bdo
\bou
\bub
\bbl
\ble
\be a
\bac
\bco
\bos
\bsh
\bh(
\b(x
\bx)
\b)
d
\bdo
\bou
\bub
\bbl
\ble
\be x
\bx;
\b;
d
\bdo
\bou
\bub
\bbl
\ble
\be a
\bat
\bta
\ban
\bnh
\bh(
\b(x
\bx)
\b)
d
\bdo
\bou
\bub
\bbl
\ble
\be x
\bx;
\b;
D
\bDE
\bES
\bSC
\bCR
\bRI
\bIP
\bPT
\bTI
\bIO
\bON
\bN
These functions compute the designated inverse hyperbolic
functions for real arguments.
E
\bER
\bRR
\bRO
\bOR
\bR (
\b(d
\bdu
\bue
\be t
\bto
\bo R
\bRo
\bou
\bun
\bnd
\bdo
\bof
\bff
\bf e
\bet
\btc
\bc.
\b.)
\b)
These functions inherit much of their error from log1p
described in exp(3M). On a VAX, acosh is accurate to about
3 _
\bu_
\bl_
\bps, asinh and atanh to about 2 _
\bu_
\bl_
\bps. An _
\bu_
\bl_
\bp is one _
\bUnit
in the _
\bLast _
\bPlace carried.
D
\bDI
\bIA
\bAG
\bGN
\bNO
\bOS
\bST
\bTI
\bIC
\bCS
\bS
Acosh returns the reserved operand on a VAX if the argument
Atanh returns the reserved operand on a VAX if the argument
has absolute value bigger than or equal to 1.
S
\bSE
\bEE
\bE A
\bAL
\bLS
\bSO
\bO
math(3M), exp(3M), infnan(3M)