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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

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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Williams Gator Oscillator (GATOR)", "GATOR", overlay=false)
//@function Calculates Williams Gator Oscillator from Alligator lines
//@param source Series to calculate from
//@param jawPeriod Period for Jaw SMMA (typically 13)
//@param jawOffset Forward offset for Jaw line (typically 8)
//@param teethPeriod Period for Teeth SMMA (typically 8)
//@param teethOffset Forward offset for Teeth line (typically 5)
//@param lipsPeriod Period for Lips SMMA (typically 5)
//@param lipsOffset Forward offset for Lips line (typically 3)
//@returns Tuple [upper, lower] histogram values
//@optimized Uses Wilder's RMA (SMMA) with exponential warmup compensator for O(1) complexity
gator(series float source, simple int jawPeriod, simple int jawOffset, simple int teethPeriod, simple int teethOffset, simple int lipsPeriod, simple int lipsOffset) =>
if jawPeriod <= 0 or teethPeriod <= 0 or lipsPeriod <= 0
runtime.error("All periods must be greater than 0")
if jawOffset < 0 or teethOffset < 0 or lipsOffset < 0
runtime.error("All offsets must be non-negative")
// Step 1: Compute SMMA (Wilder's RMA) for each Alligator line
float alphaJaw = 1.0 / float(jawPeriod)
float alphaTeeth = 1.0 / float(teethPeriod)
float alphaLips = 1.0 / float(lipsPeriod)
var bool warmupJaw = true
var bool warmupTeeth = true
var bool warmupLips = true
var float eJaw = 1.0
var float eTeeth = 1.0
var float eLips = 1.0
var float emaJaw = 0.0
var float emaTeeth = 0.0
var float emaLips = 0.0
var float jaw = source
var float teeth = source
var float lips = source
emaJaw := alphaJaw * (source - emaJaw) + emaJaw
emaTeeth := alphaTeeth * (source - emaTeeth) + emaTeeth
emaLips := alphaLips * (source - emaLips) + emaLips
if warmupJaw
eJaw *= (1.0 - alphaJaw)
float cJaw = 1.0 / (1.0 - eJaw)
jaw := cJaw * emaJaw
warmupJaw := eJaw > 1e-10
else
jaw := emaJaw
if warmupTeeth
eTeeth *= (1.0 - alphaTeeth)
float cTeeth = 1.0 / (1.0 - eTeeth)
teeth := cTeeth * emaTeeth
warmupTeeth := eTeeth > 1e-10
else
teeth := emaTeeth
if warmupLips
eLips *= (1.0 - alphaLips)
float cLips = 1.0 / (1.0 - eLips)
lips := cLips * emaLips
warmupLips := eLips > 1e-10
else
lips := emaLips
// Step 2: Apply offsets and compute histogram differences
float jawShifted = jaw[jawOffset]
float teethShifted = teeth[teethOffset]
float lipsShifted = lips[lipsOffset]
// Upper histogram: abs(Jaw - Teeth), always positive
float upper = math.abs(jawShifted - teethShifted)
// Lower histogram: -abs(Teeth - Lips), always negative
float lower = -math.abs(teethShifted - lipsShifted)
[upper, lower]
// ---------- Main loop ----------
// Inputs
i_source = input.source(hlc3, "Source")
i_jawPeriod = input.int(13, "Jaw Period", minval=1)
i_jawOffset = input.int(8, "Jaw Offset", minval=0)
i_teethPeriod = input.int(8, "Teeth Period", minval=1)
i_teethOffset = input.int(5, "Teeth Offset", minval=0)
i_lipsPeriod = input.int(5, "Lips Period", minval=1)
i_lipsOffset = input.int(3, "Lips Offset", minval=0)
// Calculation
[upper, lower] = gator(i_source, i_jawPeriod, i_jawOffset, i_teethPeriod, i_teethOffset, i_lipsPeriod, i_lipsOffset)
float prevUpper = upper[1]
float prevLower = lower[1]
// Colors: green when expanding (upper rising or lower falling), red when contracting
color upperColor = upper >= prevUpper ? color.green : color.red
color lowerColor = lower <= prevLower ? color.green : color.red
// Plot
plot(upper, "Upper", color=upperColor, style=plot.style_histogram, linewidth=2)
plot(lower, "Lower", color=lowerColor, style=plot.style_histogram, linewidth=2)
plot(0, "Zero", color=color.gray, linewidth=1)