Exponential Trend [AlgoAlpha]

// This Pine Script® code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © AlgoAlpha

//@version=6
indicator("Exponential Trend [AlgoAlpha]", "AlgoAlpha - Exponential", true)
expRate = input.float(0.00003, "Exponential Rate", minval=0, maxval=0.5, step=0.01, 
     tooltip="Controls how quickly the trend line accelerates", group="Trend Settings")
initialDistance = input.float(4, "Initial Distance", minval=0.1, step=0.1,
     tooltip="Controls the initial distance of the Trend Line from price", group="Trend Settings")
widthMultiplier = input.float(1.0, "Width Multiplier", minval=0.1, step=0.1,
     tooltip="Multiplies the volatility to extend the distance between trend lines", group="Trend Settings")
// green = input.color(#00ffbb, title="Bullish Color", tooltip="Color used for bullishness", group="Appearance")
// red = input.color(#ff1100, title="Bearish Color", tooltip="Color used for bearishness", group="Appearance")

pine_supertrend(factor, atrPeriod) =>
    src = hl2
    atr = ta.atr(atrPeriod)
    upperBand = src + factor * atr
    lowerBand = src - factor * atr
    prevLowerBand = nz(lowerBand[1])
    prevUpperBand = nz(upperBand[1])

    lowerBand := lowerBand > prevLowerBand or close[1] < prevLowerBand ? lowerBand : prevLowerBand
    upperBand := upperBand < prevUpperBand or close[1] > prevUpperBand ? upperBand : prevUpperBand
    int _direction = na
    float superTrend = na
    prevSuperTrend = superTrend[1]
    if na(atr[1])
        _direction := 1
    else if prevSuperTrend == prevUpperBand
        _direction := close > upperBand ? -1 : 1
    else
        _direction := close < lowerBand ? 1 : -1
    [upperBand, lowerBand, _direction]

[upper, lower, dir] = pine_supertrend(initialDistance, 14)

var _initial = 0.0
var trend = 0

if bar_index == 100
    if dir < 0
        _initial := lower
        trend := 1
    else
        _initial := upper
        trend := -1

crossoverCondition = ta.crossover(close, _initial)
crossunderCondition = ta.crossunder(close, _initial)

if crossoverCondition
    _initial := lower
    trend := 1    
if crossunderCondition
    _initial := upper
    trend := -1    

barsElapsed = ta.barssince(trend != trend[1])

expMultiplier = math.min(1 + trend * (1 - math.exp(-expRate * barsElapsed)), 900)

_initial := _initial * expMultiplier
volatility = ta.atr(14)
init_ = _initial + (trend > 0 ? volatility * widthMultiplier : -volatility * widthMultiplier)

// --------------------- EXPORTED ---------------------
// _initial, trend
// ----------------------------------------------------

// plot(trend == 1 ? _initial : na, color = green, style = plot.style_linebr, linewidth = 2)
// plot(trend == -1 ? _initial : na, color = red, style = plot.style_linebr, linewidth = 1)
// plot(trend == 1 ? init_ : na, color = color.new(green, 70), style = plot.style_linebr, linewidth = 2)
// plot(trend == -1 ? init_ : na, color = color.new(red, 70), style = plot.style_linebr, linewidth = 2)
// upTrendBase = plot(trend == 1 ? _initial : na, color = green, style = plot.style_linebr, linewidth = 2, title = "Uptrend Base")
// downTrendBase = plot(trend == -1 ? _initial : na, color = red, style = plot.style_linebr, linewidth = 1, title = "Downtrend Base")
// upTrendExt = plot(trend == 1 ? init_ : na, color = color.new(green, 70), style = plot.style_linebr, linewidth = 2, title = "Uptrend Extension")
// downTrendExt = plot(trend == -1 ? init_ : na, color = color.new(red, 70), style = plot.style_linebr, linewidth = 2, title = "Downtrend Extension")

// fill(upTrendBase, upTrendExt, trend == 1 ? _initial : na, trend == 1 ? init_ : na, color.new(green, 70), color.new(chart.bg_color, 90), title = "Uptrend Fill")
// fill(downTrendBase, downTrendExt, trend == -1 ? _initial : na, trend == -1 ? init_ : na, color.new(red, 70), color.new(chart.bg_color, 90), title = "Downtrend Fill")

// plotchar(crossoverCondition ? _initial - volatility : na, "Bullish Trend Change", "▲", location.absolute, green, size = size.tiny)
// plotchar(crossunderCondition ? _initial + volatility : na, "Bearish Trend Change", "▼", location.absolute, red, size = size.tiny)

// alertcondition(crossoverCondition, title="Bullish Trend Change", message="Exponential Trends: Bullish trend change detected")
// alertcondition(crossunderCondition, title="Bearish Trend Change", message="Exponential Trends: Bearish trend change detected")