Integrate drop-in function-wrapper

template<typename UnaryRealFunction_>
inline integrator::return_type integratecpp::integrate(UnaryRealFunction_ &&fn, const double lower, const double upper, const integrator::config_type config = {})

A drop-in replacement of integratecpp::integrator for numerical integration. Approximates an integral numerically for a functor, lower, and upper bound, using Rdqags if both bounds are are finite and Rdqagi of at least one of the bounds is infinite.

Template Parameters:

UnaryRealFunction_ – A Callable type invocable with const double and returning double.

Parameters:

• fn – a UnaryRealFunction_ functor compatible with a const double signature.

• lower – a double for the lower bound.

• upper – a double for the upper bound.

• config – an optional const reference to a integratecpp::integrator::config_type configuration parameter.

Throws:

• throws – integratecpp::invalid_input_error if configuration parameters’ preconditions are not fulfilled.

• throws – integratecpp::max_subdivision_error if the maximal number of subdivisions is reached without fulfilling required error conditions.

• throws – integratecpp::roundoff_error if a roundoff error is detected which prevents the requested accuracy from being achieved.

• throws – integratecpp::bad_integrand_error if extremely bad integrand behaviour is detected during integration.

• throws – integratecpp::extrapolation_roundoff_error if a roundoff error is detected in the extrapolation table.

• throws – integratecpp::divergence_error if the integral is deemed divergence (or slowly convergent).

• throws – integratecpp::integration_runtime_error if the Callable returns infinite values.

• rethrows – caught exceptions that occur during the evaluation of the Callable.

Returns:

a integratecpp::integrator::return_type with the integration results.