geometric_weights()

MAYAFLUX_API std::vector< double > MayaFlux::Kinesis::Discrete::geometric_weights	(	size_t	count,
		double	ratio,
		bool	unit_sum = false
	)

Weights that fall by a constant ratio with age.

Takes the ratio and allows any sign. ramp_exponential in Transform is the same progression fixed by its two endpoints, positive only.

Parameters

count	Number of weights
ratio	Factor between one weight and the next older one
unit_sum	Scale so the weights sum to 1

Returns

ratio^k for k = 0 .. count - 1, newest first

Definition at line 187 of file Coefficients.cpp.

{
    std::vector<double> weights(count);
    double weight = 1.0;
    double total = 0.0;
    for (size_t k = 0; k < count; ++k) {
        weights.at(k) = weight;
        total += weight;
        weight *= ratio;
    }
 
    if (unit_sum && std::abs(total) > 1e-12) {
        for (double& w : weights)
            w /= total;
    }
    return weights;
}

References count, total, and weight.