Double Speed: Determinant by Minor Expansion

double_det_minor.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: Determinant by Minor Expansion
Specifications
See link_det_minor .

Implementation

# include <cppad/utility/vector.hpp>
# include <cppad/speed/det_by_minor.hpp>
# include <cppad/speed/uniform_01.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_det_minor(
    const std::string&         job      ,
    size_t                     size     ,
    size_t                     repeat   ,
    CppAD::vector<double>     &matrix   ,
    CppAD::vector<double>     &det      )
{   // --------------------------------------------------------------------------
    // ignore global_option
    // --------------------------------------------------------------------------
    if( job == "setup" || job == "teardown" )
        return true;
    CPPAD_ASSERT_UNKNOWN( job == "run" );
    //
    // setup
    CppAD::det_by_minor<double>   Det(size);
    //
    // number of independent variables
    size_t n = size * size;
    // -------------------------------------------------------------------------
    while(repeat--)
    {   // get the next matrix
        CppAD::uniform_01(n, matrix);

        // computation of the determinant
        det[0] = Det(matrix);
    }
    return true;
}

Input File: speed/double/det_minor.cpp