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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 .
ADFun Checking For Nan: Example and Test
# include <cppad/cppad.hpp>
# include <cctype>

namespace {
    void myhandler(
        bool known       ,
        int  line        ,
        const char *file ,
        const char *exp  ,
        const char *msg  )
    {   // error handler must not return, so throw an exception
        std::string message = msg;
        throw message;
    }
}

bool check_for_nan(void)
{   bool ok = true;
    using CppAD::AD;
    using std::string;
    double eps = 10. * std::numeric_limits<double>::epsilon();

    // replace the default CppAD error handler
    CppAD::ErrorHandler info(myhandler);

    CPPAD_TESTVECTOR(AD<double>) ax(2), ay(2);
    ax[0] = 2.0;
    ax[1] = 1.0;
    CppAD::Independent(ax);
    ay[0] = sqrt( ax[0] );
    ay[1] = sqrt( ax[1] );
    CppAD::ADFun<double> f(ax, ay);

    CPPAD_TESTVECTOR(double) x(2), y(2);
    x[0] = 2.0;
    x[1] = -1.0;

    // use try / catch because this causes an exception
    // (assuming that NDEBUG is not defined)
    f.check_for_nan(true);
    try {
        y = f.Forward(0, x);

# ifndef NDEBUG
        // When compiled with NDEBUG defined,
        // CppAD does not spend time checking for nan.
        ok = false;
# endif
    }
    catch(std::string msg)
    {
        // get and check size of the independent variable vector
        string pattern = "vector_size = ";
        size_t start   = msg.find(pattern) + pattern.size();
        string number;
        for(size_t i = start; msg[i] != '\n'; i++)
            number += msg[i];
        size_t vector_size = size_t( std::atoi(number.c_str()) );
        ok &= vector_size == 2;

        // get and check first dependent variable index that is nan
        pattern = "index = ";
        start   = msg.find(pattern) + pattern.size();
        number  = "";
        for(size_t i = start; msg[i] != '\n'; i++)
            number += msg[i];
        size_t index = size_t( std::atoi(number.c_str()) );
        ok &= index == 1;

        // get the name of the file
        pattern = "file_name = ";
        start   = msg.find(pattern) + pattern.size();
        string file_name;
        for(size_t i = start; msg[i] != '\n'; i++)
            file_name += msg[i];

        // get and check independent variable vector that resulted in the nan
        CppAD::vector<double> vec(vector_size);
        CppAD::get_check_for_nan(vec, file_name);
        for(size_t i = 0; i < vector_size; i++)
            ok &= vec[i] == x[i];
    }

    // now do calculation without an exception
    f.check_for_nan(false);
    y = f.Forward(0, x);
    ok &= CppAD::NearEqual(y[0], std::sqrt(x[0]), eps, eps);
    ok &= CppAD::isnan( y[1] );

    return ok;
}

Input File: example/general/check_for_nan.cpp