AD Two Argument Inverse Tangent Function

@(@\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}} }@)@This is cppad-20221105 documentation. Here is a link to its current documentation . AD Two Argument Inverse Tangent Function
Syntax
theta = atan2(y, x)

Purpose
Determines an angle @(@ \theta \in [ - \pi , + \pi ] @)@ such that @[@ \begin{array}{rcl} \sin ( \theta ) & = & y / \sqrt{ x^2 + y^2 } \\ \cos ( \theta ) & = & x / \sqrt{ x^2 + y^2 } \end{array} @]@

y
The argument y has one of the following prototypes



    const AD<Base>               &y

    const VecAD<Base>::reference &y

x
The argument x has one of the following prototypes



    const AD<Base>               &x

    const VecAD<Base>::reference &x

theta
The result theta has prototype



    AD<Base> theta

Operation Sequence
The AD of Base operation sequence used to calculate theta is independent of x and y .

Example
The file atan2.cpp contains an example and test of this function.

Input File: include/cppad/core/atan2.hpp