LMAs

Library "LMAs"

Credits
Thank you to @QuantraSystems for dynamic calculations.

Introduction
This lightweight library offers dynamic implementations of popular moving averages that adapt their length automatically as new bars are added to the chart.

Each function is built on a dynamic length formula:
len = math.min(maxLength, bar_index + 1)

This approach ensures that calculations begin as early as the first bar, allowing for smoother initialization and more consistent behavior across all timeframes. It’s especially useful in custom scripts that run from bar 0 or when historical data is limited.


Usage
You can use this library as a drop-in replacement for standard moving averages. It provides more flexibility and stability in live or backtesting environments where fixed-length indicators may delay or fail to initialize properly.


Why Use This?
• Works from the very first bar
• Avoids na values during early bars
• Great for real-time indicators, strategies, and bar-replay
• Clean and efficient code with dynamic behavior


How to Use
Import the library into your script and call any of the included functions just like you would with their native counterparts.


Summary
A lightweight Pine Script™ library offering dynamic moving averages that work seamlessly from the very first bar. Ideal for strategies and indicators requiring robust initialization and adaptive behavior.


SMA(sourceData, maxLength)
  Dynamic SMA
  Parameters:
    sourceData (float)
    maxLength (int)

EMA(src, length)
  Dynamic EMA
  Parameters:
    src (float)
    length (int)

DEMA(src, length)
  Dynamic DEMA
  Parameters:
    src (float)
    length (int)

TEMA(src, length)
  Dynamic TEMA
  Parameters:
    src (float)
    length (int)

WMA(src, length)
  Dynamic WMA
  Parameters:
    src (float)
    length (int)

HMA(src, length)
  Dynamic HMA
  Parameters:
    src (float)
    length (int)

VWMA(src, volsrc, length)
  Dynamic VWMA
  Parameters:
    src (float)
    volsrc (float)
    length (int)

SMMA(src, length)
  Dynamic SMMA
  Parameters:
    src (float)
    length (int)

LSMA(src, length, offset)
  Dynamic LSMA
  Parameters:
    src (float)
    length (int)
    offset (int)

RMA(src, length)
  Dynamic RMA
  Parameters:
    src (float)
    length (int)

ALMA(src, length, offset_sigma, sigma)
  Dynamic ALMA
  Parameters:
    src (float)
    length (int)
    offset_sigma (float)
    sigma (float)

ZLSMA(src, length)
  Dynamic ZLSMA
  Parameters:
    src (float)
    length (int)

FRAMA(src, length)
  Parameters:
    src (float)
    length (int)

KAMA(src, length)
  Dynamic KAMA
  Parameters:
    src (float)
    length (int)

JMA(src, length, phase)
  Dynamic JMA
  Parameters:
    src (float)
    length (int)
    phase (float)

T3(src, length, volumeFactor)
  Dynamic T3
  Parameters:
    src (float)
    length (int)
    volumeFactor (float)