Function hydra_dx_math::ema::smoothing_from_period

pub fn smoothing_from_period(period: u64) -> Fraction

Calculates smoothing factor alpha for an exponential moving average based on period: alpha = 2 / (period + 1). It leads to the “center of mass” of the EMA corresponding to be the “center of mass” of a period-length SMA.

Possible alternatives for alpha = 2 / (period + 1):

• alpha = 1 - 0.5^(1 / period) for a half-life of period or
• alpha = 1 - 0.5^(2 / period) to have the same median as a period-length SMA. See https://en.wikipedia.org/wiki/Moving_average#Relationship_between_SMA_and_EMA

Note: Not used in the pallet except to check configured values. Not meant to be used by code interacting with the pallet. Use the configured values.