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41 lines
1.1 KiB
Plaintext
41 lines
1.1 KiB
Plaintext
// The MIT License (MIT)
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// © mihakralj
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//@version=6
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indicator("Wilder's Moving Average (RMA)", "RMA", overlay=true)
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//@function Calculates Welles Wilder's Relative Moving Average (RMA/SMMA)
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//@param source Series to calculate RMA from
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//@param period Smoothing period
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//@returns RMA value from first bar with proper compensation for early values
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//@optimized Uses exponential warmup compensator with Wilder's alpha (1/period) for O(1) complexity
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rma(series float source, simple int period) =>
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if period <= 0
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runtime.error("Period must be provided")
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float a = 1.0 / float(period)
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float beta = 1.0 - a
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var bool warmup = true
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var float e = 1.0
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var float ema = 0.0
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var float result = source
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ema := a * (source - ema) + ema
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if warmup
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e *= beta
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float c = 1.0 / (1.0 - e)
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result := c * ema
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warmup := e > 1e-10
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else
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result := ema
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result
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// ---------- Main loop ----------
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// Inputs
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i_period = input.int(10, "Period", minval=1)
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i_source = input.source(close, "Source")
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// Calculation
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rma_value = rma(i_source, i_period)
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// Plot
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plot(rma_value, "RMA", color=color.yellow, linewidth=2)
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