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QuanTAlib/lib/trends_IIR/dema/dema.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("Double Exponential Moving Average (DEMA)", "DEMA", overlay=true)
//@function Calculates DEMA using double exponential smoothing with compensator
//@param source Series to calculate DEMA from
//@param period Lookback period for DEMA calculation
//@param alpha Optional smoothing factor (overrides period if provided)
//@returns DEMA value from first bar with proper compensation
//@optimized Uses exponential warmup compensator on both EMA stages for O(1) complexity
dema(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
var bool warmup = true
var float e = 1.0
var float ema1_raw = 0.0
var float ema2_raw = 0.0
var float ema1 = source
var float ema2 = source
ema1_raw := a * (source - ema1_raw) + ema1_raw
if warmup
e *= beta
float c = 1.0 / (1.0 - e)
ema1 := c * ema1_raw
ema2_raw := a * (ema1 - ema2_raw) + ema2_raw
ema2 := c * ema2_raw
warmup := e > 1e-10
else
ema1 := ema1_raw
ema2_raw := a * (ema1 - ema2_raw) + ema2_raw
ema2 := ema2_raw
2 * ema1 - ema2
// ---------- Main loop ----------
// Inputs
i_period = input.int(10, "Period", minval=1)
i_source = input.source(close, "Source")
// Calculation
dema_value = dema(i_source, period=i_period)
// Plot
plot(dema_value, "DEMA", color=color.yellow, linewidth=2)