Summary
Summation is RTTA's streaming implementation of: Rolling sum.
Update API
result = rtta.Summation(window=30).update(value)
The update(...) call consumes one observation using value. advance(...)
uses the same inputs when the caller wants to update state without materializing
a Python return value.
Theory Of Operation
Summation implements the streaming form of Rolling sum. Each update(...) call consumes exactly one new observation tuple and advances the internal state before returning the current value or result struct.
Recurrence
Let \(z_t = value_t\) denote the observation consumed by one
update(...) call and let \(\theta\) denote constructor parameters such as
window lengths, thresholds, and smoothing constants.
The return value is the current scalar indicator value.
Implementation Notes
The recurrence is implemented in src/rtta/indicator.cpp in class Summation.