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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 .
C++ AD Graph Conditional Expressions: Example and Test

Source Code

# include <cppad/cppad.hpp>

bool cexp_op(void)
{   bool ok = true;
    using std::string;
    double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
    //
    // AD graph example
    // node_1 : p[0]
    // node_2 : x[0]
    // node_3 : c[0]
    // node_4 : cexp_le(p[0], x[0], p[0], x[0])
    // y[0]   = cexp_le(p[0], x[0], p[0], x[0])
    //
    //
    // C++ graph object
    CppAD::cpp_graph graph_obj;
    //
    // operator being used
    CppAD::graph::graph_op_enum op_enum;
    //
    // set scalars
    graph_obj.function_name_set("cexp_op example");
    size_t n_dynamic_ind = 1;
    graph_obj.n_dynamic_ind_set(n_dynamic_ind);
    size_t n_variable_ind = 1;
    graph_obj.n_variable_ind_set(n_variable_ind);
    graph_obj.constant_vec_push_back(-0.1);
    //
    // node_4 : cexp_le(p[0], x[0], p[0], x[0])
    op_enum = CppAD::graph::cexp_le_graph_op;
    graph_obj.operator_vec_push_back(op_enum);
    graph_obj.operator_arg_push_back(1);
    graph_obj.operator_arg_push_back(2);
    graph_obj.operator_arg_push_back(1);
    graph_obj.operator_arg_push_back(2);
    //
    // y[0]   = cexp_le(p[0], x[0], p[0], x[0])
    graph_obj.dependent_vec_push_back(4);
    //
    // f(x, p) = cexp_le(p[0], x[0], p[0], x[0])
    CppAD::ADFun<double> f;
    f.from_graph(graph_obj);
    ok &= f.Domain() == 1;
    ok &= f.Range() == 1;
    ok &= f.size_dyn_ind() == 1;
    //
    // set independent variables and parameters
    CPPAD_TESTVECTOR(double) p(1), x(1);
    p[0] = 0.2;
    x[0] = 0.3;
    //
    // compute y = f(x, p)
    f.new_dynamic(p);
    CPPAD_TESTVECTOR(double) y = f.Forward(0, x);
    //
    // check result
    double check;
    if( p[0] <= x[0] )
        check= p[0];
    else
        check = x[0];
    //
    // check result
    ok &= CppAD::NearEqual(y[0], check, eps99, eps99);
    // ----------------------------------------------------------------------
    // Convert to Graph graph and back again
    f.to_graph(graph_obj);
    f.from_graph(graph_obj);
    // ----------------------------------------------------------------------
    //
    // compute y = f(x, p)
    f.new_dynamic(p);
    y = f.Forward(0, x);
    //
    // check result
    ok &= CppAD::NearEqual(y[0], check, eps99, eps99);
    //
    return ok;
}

Input File: example/graph/cexp_op.cpp