central_first_derivative() [1/2]

template<typename T >

T MayaFlux::Kinesis::central_first_derivative ( const Memory::HistoryBuffer< T > &  history, double  dt  )

inlinenoexcept

Central difference approximation of the first derivative.

Template Parameters

T	Sample type

Parameters

history	Buffer with capacity >= 3
dt	Elapsed time between consecutive samples

Returns

(history[0] - history[2]) / (2 * dt)

Second-order accurate versus the first-order accurate backward difference used by velocity(). Costs one extra sample of lag since the estimate is centered on history[1], not history[0].

Definition at line 117 of file Differential.hpp.

{
    using S = scalar_t<T>;
    return (history[0] - history[2]) / static_cast<S>(2.0 * dt);
}

Referenced by central_first_derivative().

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