NumLib::detail::ComputeDerivativeWrtOneScalar_CD Struct Reference

Detailed Description

Central differences derivative of a function with respect to a single scalar variable.

See also NumLib::CentralDifferencesStrategy.

Definition at line 57 of file NumericalDifferentiation.h.

#include <NumericalDifferentiation.h>

Public Member Functions
template<typename Function , typename TupleOfArgs , typename PerturbationStrategy , std::size_t PerturbedArgIdx, std::size_t... AllArgIdcs>
auto	operator() (Function const &f, TupleOfArgs const &args, PerturbationStrategy const &pert_strat, std::integral_constant< std::size_t, PerturbedArgIdx >, Eigen::Index const perturbed_arg_component, std::index_sequence< AllArgIdcs... >) const

Member Function Documentation

operator()()

template<typename Function , typename TupleOfArgs , typename PerturbationStrategy , std::size_t PerturbedArgIdx, std::size_t... AllArgIdcs>

auto NumLib::detail::ComputeDerivativeWrtOneScalar_CD::operator() ( Function const & f, TupleOfArgs const & args, PerturbationStrategy const & pert_strat, std::integral_constant< std::size_t, PerturbedArgIdx > , Eigen::Index const perturbed_arg_component, std::index_sequence< AllArgIdcs... >  ) const

inline

Definition at line 62 of file NumericalDifferentiation.h.

    {
        auto const value_plus = f(pert_strat.perturbIf(
            std::bool_constant<PerturbedArgIdx == AllArgIdcs>{},
            std::get<AllArgIdcs>(args), 1.0, perturbed_arg_component)...);
 
        auto const value_minus = f(pert_strat.perturbIf(
            std::bool_constant<PerturbedArgIdx == AllArgIdcs>{},
            std::get<AllArgIdcs>(args), -1.0, perturbed_arg_component)...);
 
        auto const pert = pert_strat.getPerturbation(
            getScalarOrVectorComponent<PerturbedArgIdx>(
                args, perturbed_arg_component));
 
        // decltype enforces evaluation of Eigen expressions
        decltype(value_plus) deriv = (value_plus - value_minus) / (2 * pert);
 
        return deriv;
    }

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The documentation for this struct was generated from the following file:

• NumLib/NumericalDifferentiation.h