\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)

unary_standard_math

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The Unary Standard Math Functions

Syntax

y = fun ( x )

Purpose

Evaluates the standard math function fun .

Possible Types

Base

If Base satisfies the base type requirements and argument x has prototype

const Base & x

then the result y has prototype

Base y

AD<Base>

If the argument x has prototype

const AD < Base >& x

then the result y has prototype

AD < Base > y

VecAD<Base>

If the argument x has prototype

const VecAD < Base >:: reference& x

then the result y has prototype

AD < Base > y

fun

The possible values for fun are

fun	Description
abs	AD Absolute Value Functions: abs, fabs
acos	Inverse Cosine Function: acos
acosh	The Inverse Hyperbolic Cosine Function: acosh
asin	Inverse Sine Function: asin
asinh	The Inverse Hyperbolic Sine Function: asinh
atan	Inverse Tangent Function: atan
atanh	The Inverse Hyperbolic Tangent Function: atanh
cos	The Cosine Function: cos
cosh	The Hyperbolic Cosine Function: cosh
erf	The Error Function
exp	The Exponential Function: exp
expm1	The Exponential Function Minus One: expm1
fabs AD Absolute Value Functions: abs, fabs
log10	The Base 10 Logarithm Function: log10
log1p	The Logarithm of One Plus Argument: log1p
log	The Exponential Function: log
sign	The Sign: sign
sin	The Sine Function: sin
sinh	The Hyperbolic Sine Function: sinh
sqrt	The Square Root Function: sqrt
tan	The Tangent Function: tan
tanh	The Hyperbolic Tangent Function: tanh