Waves Decomposition

//@version=5
indicator("Waves Decomposition", overlay=false)

wave_height = input.int(100, "Wave Height")
wave_duration = input.int(162, "Wave Duration")
wave_duration_bigwave = input.int(216, "Big Wave Duration")

n = bar_index

f_cosine_wave(_wave_height, _wave_duration, _n) =>
    _pi = 3.14159265359
    _w = 2 * _pi / _wave_duration
    _cosine_wave = _wave_height * math.sin(_w * _n + _pi / 2)
    _cosine_wave

f_cosine_wave2(_wave_height, _wave_duration_bigwave, _n) =>
    _pi = 3.14159265359
    _w2 = 2 * _pi / _wave_duration_bigwave
    _cosine_wave2 = _wave_height * math.sin(_w2 * _n + _pi / 2)
    _cosine_wave2

wave = f_cosine_wave(wave_height, wave_duration, n)
big_wave = f_cosine_wave2(wave_height, wave_duration_bigwave, n)

wave_smoothed = ta.sma(wave, 20) // Apply moving average
big_wave_smoothed = ta.sma(big_wave, 50) // Apply moving average

plot(series=wave_smoothed, title='Normal Cycle', color=color.new(#FFFFFF, 0))
plot(series=big_wave_smoothed, title='Big Wave Cycle', color=color.new(#FFFFFF, 0))

// study(title="[RS]Compounded Risk Score", shorttitle="CRS")
// if you took a trade for every bars close for the duration of the length
// how would those trades fair atm?
// values closer to (100 | -100) are better for its (bull | bear), closer to 0 will be closer to break eaven.
// this indicator is optimal for trending markets.

length = input.int(100, "Length")
avg_length = input.int(25, "Average Length")

f_compound_risk(_source, _length) =>
    _total = 0.0
    _absolute = 0.0
    for _i = 1 to _length by 1
        _container0 = _total
        _container1 = _absolute
        _total := _container0 + _source[0] - _source[_i]
        _absolute := _container1 + math.abs(_source[0] - _source[_i])
    if _total > 0
        _container = _total
        _total := _total / _absolute
        _total
    else
        _container = _total
        _total := 0 - math.abs(_container) / _absolute
        _total

cr = f_compound_risk(wave_smoothed, length)
ma = ta.ema(cr, avg_length)

plot(series=cr, color=color.new(color.black, 0))
plot(series=ma, color=color.new(color.navy, 0))
hline(100)
hline(50)
hline(0)
hline(-50)
hline(-100)