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Up-> CppAD AD ADValued unary_standard_math

CppAD-> Install Introduction AD ADFun preprocessor multi_thread utility ipopt_solve Example speed Appendix

AD-> ad_ctor ad_assign Convert ADValued BoolValued VecAD base_require

ADValued-> Arithmetic unary_standard_math binary_math CondExp Discrete numeric_limits atomic

unary_standard_math-> acos asin atan cos cosh exp log log10 sin sinh sqrt tan tanh abs acosh asinh atanh erf expm1 log1p sign

Headings-> Syntax Purpose Possible Types ---..Base ---..AD<Base> ---..VecAD<Base> fun

@(@\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 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 Sine 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

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Input File: cppad/core/standard_math.hpp