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@(@\newcommand{\W}[1]{ \; #1 \; } \newcommand{\R}[1]{ {\rm #1} } \newcommand{\B}[1]{ {\bf #1} } \newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} } \newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} } \newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} } \newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@
The Inverse Hyperbolic Cosine Function: acosh

Syntax
y = acosh(x)

Description
The inverse hyperbolic cosine function is defined by x == cosh(y) .

x, y
See the possible types for a unary standard math function.

CPPAD_USE_CPLUSPLUS_2011

true
If this preprocessor symbol is true (1), and x is an AD type, this is an atomic operation .

false
If this preprocessor symbol is false (0), CppAD uses the representation @[@ \R{acosh} (x) = \log \left( x + \sqrt{ x^2 - 1 } \right) @]@ to compute this function.

Example
The file acosh.cpp contains an example and test of this function. It returns true if it succeeds and false otherwise.
Input File: cppad/core/acosh.hpp