Double Speed: Sparse Hessian

double_sparse_hessian.cpp

@(@\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 . Double Speed: Sparse Hessian
Specifications
See link_sparse_hessian .

Implementation

# include <cppad/utility/vector.hpp>
# include <cppad/speed/uniform_01.hpp>
# include <cppad/speed/sparse_hes_fun.hpp>

// Note that CppAD uses global_option["memory"] at the main program level
# include <map>
extern std::map<std::string, bool> global_option;

bool link_sparse_hessian(
    size_t                           size     ,
    size_t                           repeat   ,
    const CppAD::vector<size_t>&     row      ,
    const CppAD::vector<size_t>&     col      ,
    CppAD::vector<double>&           x        ,
    CppAD::vector<double>&           hessian  ,
    size_t&                          n_color  )
{
    if(global_option["onetape"]||global_option["atomic"]||global_option["optimize"]||global_option["boolsparsity"])
        return false;
    // -----------------------------------------------------
    // setup
    using CppAD::vector;
    size_t order = 0;          // derivative order corresponding to function
    size_t n     = size;       // argument space dimension
    size_t m     = 1;          // range space dimension
    vector<double> y(m);       // function value

    // choose a value for x
    CppAD::uniform_01(n, x);

    // ------------------------------------------------------

    while(repeat--)
    {
        // computation of the function
        CppAD::sparse_hes_fun<double>(n, x, row, col, order, y);
    }
    hessian[0] = y[0];

    return true;
}

Input File: speed/double/sparse_hessian.cpp