Files
Miha Kralj 35a6702b06 fix(docs): correct .md documentation across errors, dynamics, filters, forecasts, momentum, numerics, oscillators, reversals, statistics, trends, volatility, volume
Deep review of all indicator categories verified .md headers against .cs WarmupPeriod, parameters, inputs, and outputs. Fixes include warmup corrections, parameter documentation, output type accuracy, and Pine Script alignment.
2026-03-10 18:38:23 -07:00

46 lines
1.5 KiB
Plaintext

// Licensed under the Apache License, Version 2.0
// © 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) =>
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)