\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)

det_33.hpp

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Source: det_33

# ifndef CPPAD_DET_33_HPP

# define CPPAD_DET_33_HPP

# include <cppad/utility/near_equal.hpp>
namespace CppAD {
template <class Vector>
    bool det_33(const Vector &x, const Vector &d)
    {   bool ok = true;
        double eps99 = 99.0 * std::numeric_limits<double>::epsilon();

        // use expansion by minors to compute the determinant by hand
        double check = 0.;
        check += x[0] * ( x[4] * x[8] - x[5] * x[7] );
        check -= x[1] * ( x[3] * x[8] - x[5] * x[6] );
        check += x[2] * ( x[3] * x[7] - x[4] * x[6] );

        ok &= CppAD::NearEqual(check, d[0], eps99, eps99);

        return ok;
    }
}

# endif