// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Fisher Transform", "FISHER", overlay=false)

//@function Calculates the Fisher Transform oscillator
//@doc https://github.com/mihakralj/pinescript/blob/main/indicators/oscillators/fisher.md
//@param source Source price (typically hl2)
//@param period Lookback period for min/max normalization
//@returns [fisher, signal] Fisher Transform value and signal line
fisher(series float source, simple int period) =>
    if period <= 0
        runtime.error("Period must be greater than 0")
    if period > 500
        runtime.error("Period exceeds maximum of 500")

    var float value = 0.0
    var float fisher = 0.0
    var float signal = 0.0

    float highest = ta.highest(source, period)
    float lowest = ta.lowest(source, period)

    float price_range = highest - lowest
    float normalized = price_range > 0 ? (source - lowest) / price_range : 0.5
    normalized := 2.0 * normalized - 1.0

    float alpha = 0.33
    value := alpha * normalized + (1.0 - alpha) * value

    value := math.max(-0.999, math.min(0.999, value))

    fisher := 0.5 * math.log((1.0 + value) / (1.0 - value))

    signal := alpha * fisher + (1.0 - alpha) * signal

    [fisher, signal]

// ---------- Main loop ----------

i_period = input.int(10, "Period", minval=1, maxval=500)
i_source = input.source(hl2, "Source")

[fisher_line, signal_line] = fisher(i_source, i_period)

plot(fisher_line, "Fisher", color=color.yellow, linewidth=2)
plot(signal_line, "Signal", color=color.orange, linewidth=1)
hline(0, "Zero", color=color.gray, linestyle=hline.style_dotted)
hline(2, "Overbought", color=color.red, linestyle=hline.style_dashed)
hline(-2, "Oversold", color=color.green, linestyle=hline.style_dashed)