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### sinh_sinh

    template<class Real>
    class sinh_sinh
    {
    public:
        sinh_sinh(size_t max_refinements = 9);

        template<class F>
        Real integrate(const F f,
                       Real tol = sqrt(std::numeric_limits<Real>::epsilon()),
                       Real* error = nullptr,
                       Real* L1 = nullptr,
                       size_t* levels = nullptr) const;
    };

The sinh-sinh quadrature allows computation over the entire real line, and is called as follows:

    sinh_sinh<double> integrator;
    auto f = [](double x) { return exp(-x*x); };
    double error;
    double L1;
    double Q = integrator.integrate(f, &error, &L1);

Note that the limits of integration are understood to be (-∞, ∞).