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QuanTAlib/lib/trends_IIR/zlema/zlema.pine
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Miha Kralj 24e86d762a Add documentation links for various volatility indicators and channels
- Updated BBWN, BBWP, CCV, CV, CVI, EWMA, GKV, HLV, HV, Jvolty, JVOLTYN, MASSI, NATR, RSV, RV, RVI, TR, UI, VOV, VR, YZV indicators with documentation links.
- Added documentation links for Aberration, Acceleration Bands, Andrews' Pitchfork, Adaptive Price Zone, ATR Bands, Bollinger Bands, Center of Gravity, Donchian Channels, Decay Min-Max Channel, Detrended Synthetic Price, EACP, EBSW, HOMOD, Jurik Volatility Bands, Keltner Channel, MA Envelope, Min-Max Channel, Price Channel, Regression Channels, Standard Deviation Channel, Stoller Average Range Channel, Super Trend Bands, Ultimate Bands, Ultimate Channel, VWAP Bands, and VWAP with Standard Deviation Bands.
2026-02-18 11:55:48 -08:00

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// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Zero-Lag EMA (ZLEMA)", "ZLEMA", overlay=true)
//@function Calculates ZLEMA using zero-lag price and exponential smoothing with compensator
//@param source Series to calculate ZLEMA from
//@param period Smoothing period
//@param alpha Optional smoothing factor (overrides period if provided)
//@returns ZLEMA value with zero-lag effect applied
//@optimized Uses lag compensation buffer and exponential warmup compensator for O(1) complexity
zlema(series float source, simple int period=0, simple float alpha=0) =>
if alpha <= 0 and period <= 0
runtime.error("Alpha or period must be provided")
float a = alpha > 0 ? alpha : 2.0 / (period + 1)
float beta = 1.0 - a
simple int lag = math.max(1, math.round((period - 1) / 2))
var bool warmup = true
var float e = 1.0
var float zlema = 0.0
var float result = source
var priceBuffer = array.new<float>(lag + 1, 0.0)
if not na(source)
array.shift(priceBuffer)
array.push(priceBuffer, source)
float laggedPrice = array.get(priceBuffer, 0)
float signal = 2 * source - laggedPrice
zlema := a * (signal - zlema) + zlema
if warmup
e *= beta
float c = 1.0 / (1.0 - e)
result := c * zlema
warmup := e > 1e-10
else
result := zlema
result
// ---------- Main loop ----------
// Inputs
i_period = input.int(10, "Period", minval=1)
i_source = input.source(close, "Source")
// Calculation
zlema_value = zlema(i_source, i_period)
// Plot
plot(zlema_value, "ZLEMA", color=color.yellow, linewidth=2)