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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 Jason Graph to an ADFun Object: Example and Test

Source Code

# include <cppad/cppad.hpp>

bool from_json(void)
{   bool ok = true;
    using CppAD::vector;
    //
    // An AD graph example
    // node_1 : p[0]
    // node_2 : x[0]
    // node_3 : x[1]
    // node_4 : -2.0
    // node_5 : p[0] + x[0] + x[1]
    // node_6 : (p[0] + x[0] + x[1]) * (p[0] + x[0] + x[1])
    // y[0]   = (p[0] + x[0] + x[1]) * (p[0] + x[0] + x[1])
    // use single quote to avoid having to escape double quote
    std::string json =
        "{\n"
        "   'function_name'  : 'from_json example',\n"
        "   'op_define_vec'  : [ 3, [\n"
        "       { 'op_code':1, 'name':'add', 'n_arg':2 } ,\n"
        "       { 'op_code':2, 'name':'mul', 'n_arg':2 } ,\n"
        "       { 'op_code':3, 'name':'sum'            } ]\n"
        "   ],\n"
        "   'n_dynamic_ind'  : 1,\n"
        "   'n_variable_ind' : 2,\n"
        "   'constant_vec'   : [ 1, [ -2.0 ] ],\n"
        "   'op_usage_vec'   : [ 2, [\n"
        "       [ 3, 1, 3, [1, 2, 3 ] ] ,\n"
        "       [ 2, 5, 5             ] ] \n"
        "   ],\n"
        "   'dependent_vec'   : [ 1, [6] ] \n"
        "}\n";
    // Convert the single quote to double quote
    for(size_t i = 0; i < json.size(); ++i)
        if( json[i] == '\'' ) json[i] = '"';
    //
    CppAD::ADFun<double> fun;
    fun.from_json(json);
    //
    // Compute function value
    vector<double> p(1), x(2);
    p[0] = 1.0;
    x[0] = 2.0;
    x[1] = 3.0;
    fun.new_dynamic(p);
    vector<double> y = fun.Forward(0, x);
    ok  &= y[0] ==  (p[0] + x[0] + x[1]) * (p[0] + x[0] + x[1]);
    //
    // Conpute derivative value
    vector<double> jac = fun.Jacobian(x);
    ok &= jac[0] == 2.0 * (p[0] + x[0] + x[1]);
    ok &= jac[1] == 2.0 * (p[0] + x[0] + x[1]);
    //
    return ok;
}

Input File: example/json/from_json.cpp