Compound Sine Waves for Market Reversals

//@version=5
indicator(title='Compound Sine Waves for Market Reversals', precision=12)

// Input parameters for sine waves
base_wave_height = input(100, title='Base Wave Height')
base_wave_duration = input(161, title='Base Wave Duration')
harmonic_wave_height = input(50, title='Harmonic Wave Height')
harmonic_wave_duration = input(54, title='Harmonic Wave Duration')
extra_harmonic_wave_height = input(25, title='Extra Harmonic Height')
extra_harmonic_wave_duration = input(27, title='Extra Harmonic Duration')

n = bar_index

// Function to generate sine waves
f_sine_wave(_wave_height, _wave_duration) =>
    _pi = 3.14159265359
    _w = 2 * _pi / _wave_duration
    _sine_wave = _wave_height * math.sin(_w * n)
    _sine_wave

// Calculate sine waves
base_sine_wave = f_sine_wave(base_wave_height, base_wave_duration)
harmonic_sine_wave = f_sine_wave(harmonic_wave_height, harmonic_wave_duration)
extra_harmonic_sine_wave = f_sine_wave(extra_harmonic_wave_height, extra_harmonic_wave_duration)

// Combined sine wave
compound_sine_wave = base_sine_wave + harmonic_sine_wave + extra_harmonic_sine_wave

// Detect crossover and crossunder for potential reversal points
min_trigger = ta.crossover(base_sine_wave, compound_sine_wave)
max_trigger = ta.crossunder(base_sine_wave, compound_sine_wave)

// Plotting the sine waves and triggers
plot(series=base_sine_wave, title='Base Sine Wave', color=color.green)
plot(series=harmonic_sine_wave, title='Harmonic Sine Wave', color=color.red)
plot(series=extra_harmonic_sine_wave, title='Extra Harmonic Wave', color=color.blue)
plot(series=compound_sine_wave, title='Compound Sine Wave', color=color.purple)

// Plotting the reversal signals
plotshape(series=min_trigger, title='Min Trigger', style=shape.triangledown, location=location.absolute, color=color.black, size=size.small)
plotshape(series=max_trigger, title='Max Trigger', style=shape.triangleup, location=location.absolute, color=color.white, size=size.small)

// Displaying market sentiment based on the sine wave pattern
bgcolor(close > compound_sine_wave ? color.new(color.green, 90) : na)
bgcolor(close < compound_sine_wave ? color.new(color.red, 90) : na)

// Alert conditions for potential reversals
alertcondition(min_trigger, title='Min Trigger Alert', message='Potential Market Bottom Detected!')
alertcondition(max_trigger, title='Max Trigger Alert', message='Potential Market Top Detected!')