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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}} } This is cppad-20221105 documentation. Here is a link to its current documentation .
Convert From AD to Integer: Example and Test

# include <cppad/cppad.hpp>

bool Integer(void)
{   bool ok = true;
    using CppAD::AD;
    using CppAD::Integer;

    // domain space vector
    size_t n = 2;
    CPPAD_TESTVECTOR(AD<double>) x(n);
    x[0] = 3.5;
    x[1] = 4.5;

    // check integer before recording
    ok &= (Integer(x[0]) == 3);
    ok &= (Integer(x[1]) == 4);

    // start recording

    // declare independent variables and start tape recording
    CppAD::Independent(x);

    // check integer during recording
    ok &= (Integer(x[0]) == 3);
    ok &= (Integer(x[1]) == 4);

    // check integer for VecAD element
    CppAD::VecAD<double> v(1);
    AD<double> zero(0);
    v[zero] = 2;
    ok &= (Integer(v[zero]) == 2);

    // range space vector
    size_t m = 1;
    CPPAD_TESTVECTOR(AD<double>) y(m);
    y[0] = - x[1];

    // create f: x -> y and stop recording
    CppAD::ADFun<double> f(x, y);

    // check integer after recording
    ok &= (Integer(x[0]) ==  3.);
    ok &= (Integer(x[1]) ==  4.);
    ok &= (Integer(y[0]) == -4.);

    return ok;
}
Input File: example/general/integer.cpp