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PWMA - Pwma

Architectural problem

Real-time chart analysis needs deterministic updates per bar and explicit handling of warm-up periods. PWMA addresses this by implementing Calculates PWMA using Pascal's triangle coefficients as weights with compensator with parameterized inputs and direct state progression.

Design decision

This implementation favors streaming execution over batch recomputation. The trade-off is more attention to state initialization, but latency stays predictable when charts scale.

API surface

Functions

  • Calculates PWMA using Pascal's triangle coefficients as weights with compensator

Parameters

Parameter Purpose
source Series to calculate PWMA from
period Lookback period - FIR window size

Returns

  • PWMA value, calculates from first bar using available data

Input configuration

Input variable Type Configuration
i_period input.int default: 10, label: "Period"
i_source input.source default: close, label: "Source"

Runtime profile

  • Declared optimization: Uses Pascal's triangle weighting with O(n) complexity per bar due to lookback loop
  • Streaming model: single-pass update on each new bar.
  • Warm-up behavior: outputs can be unstable until enough samples satisfy period.
  • Memory model: state is kept in Pine series context rather than external buffers.

Trade-offs

Streaming logic keeps incremental cost stable, but initialization and edge-case handling become first-class concerns. That is a deliberate choice: predictable execution beats opaque recalculation spikes in live charts.

Verification checklist

  1. Open the script in TradingView and confirm it compiles under Pine Script v6.
  2. Validate warm-up behavior on sparse data and short histories.
  3. Compare output against a trusted reference implementation for the same parameters.
  4. Confirm parameter bounds reject invalid values without silent fallback.

References