-- Available @ https://fxcodebase.com/code/viewtopic.php?f=17&t=75867&p=159059#p159059

-- +------------------------------------------------------------------------------------------------+
-- |                                                              Copyright 2025, Gehtsoft USA LLC  | 
-- |                                                                         http://fxcodebase.com  |
-- |                                                               Paypal:  https://goo.gl/9Rj74e   |
-- +------------------------------------------------------------------------------------------------+
-- |                                                                   Developed by : Mario Jemic   |                    
-- |                                                                       mario.jemic@gmail.com    |
-- |                                                                       https://mario-jemic.com/ | 
-- |                                                             Patreon :  http://tiny.cc/1ybwxz   |   
-- |                                                      Buy Me a Coffee:  http://tiny.cc/bj7vxz   |  
-- +-----------------+----------------------+-------------------------------------------------------+
-- |  Cryptocurrency |  Network             |  Address                                              |
-- +-----------------+----------------------+-------------------------------------------------------+
-- |  BTC            |  BTC                 |  16F5k43RXibTmna4np8bPVgmXM1CzjXFJJ                   | 
-- |  SOL            |  SOL                 |  3nh5rpUKopcYLNU4zGCdUFAkM3iRQq8VVUmuzVG6VDf2         | 
-- |  ETH            |  ERC20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           |
-- |  BNB            |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- |  USDT           |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- |  XRP            |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- +-----------------+----------------------+-------------------------------------------------------+ 
function Init()
    indicator:name("Fourier Cycle Oscillator")
    indicator:description("Detects dominant cycle using Fourier Transform")
    indicator:requiredSource(core.Bar)
    indicator:type(core.Oscillator)

    indicator.parameters:addGroup("Parameters")
    indicator.parameters:addInteger("Period", "Period", "Number of periods to analyze", 50, 10, 500)
    indicator.parameters:addColor("Color", "Line Color", "Color of the Oscillator", core.rgb(0, 128, 255))
end

local Period
local source
local Oscillator

function Prepare(nameOnly)
    Period = instance.parameters.Period
    source = instance.source
    local name = "Fourier Oscillator (" .. Period .. ")"
    instance:name(name)

    if nameOnly then return end

    Oscillator = instance:addStream("Osc", core.Line, name, "FourierOsc", instance.parameters.Color, source:first() + Period)
end

function Update(period, mode)
    if period < source:first() + Period then
        return
    end

    -- Simple Fourier Transform Approximation: 
    local re = 0
    local im = 0

    for i = 0, Period - 1 do
        local angle = 2 * math.pi * i / Period
        re = re + source.close[period - i] * math.cos(angle)
        im = im + source.close[period - i] * math.sin(angle)
    end

    -- Magnitude of the fundamental frequency
    Oscillator[period] = math.sqrt(re * re + im * im)
end
-- Available @ https://fxcodebase.com/code/viewtopic.php?f=17&t=75867&p=159059#p159059

-- +------------------------------------------------------------------------------------------------+
-- |                                                              Copyright 2025, Gehtsoft USA LLC  | 
-- |                                                                         http://fxcodebase.com  |
-- |                                                               Paypal:  https://goo.gl/9Rj74e   |
-- +------------------------------------------------------------------------------------------------+
-- |                                                                   Developed by : Mario Jemic   |                    
-- |                                                                       mario.jemic@gmail.com    |
-- |                                                                       https://mario-jemic.com/ | 
-- |                                                             Patreon :  http://tiny.cc/1ybwxz   |   
-- |                                                      Buy Me a Coffee:  http://tiny.cc/bj7vxz   |  
-- +-----------------+----------------------+-------------------------------------------------------+
-- |  Cryptocurrency |  Network             |  Address                                              |
-- +-----------------+----------------------+-------------------------------------------------------+
-- |  BTC            |  BTC                 |  16F5k43RXibTmna4np8bPVgmXM1CzjXFJJ                   | 
-- |  SOL            |  SOL                 |  3nh5rpUKopcYLNU4zGCdUFAkM3iRQq8VVUmuzVG6VDf2         | 
-- |  ETH            |  ERC20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           |
-- |  BNB            |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- |  USDT           |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- |  XRP            |  BEP20               |  0xe53aab6bc468a963a02d1319660ee60cf80fc8e7           | 
-- +-----------------+----------------------+-------------------------------------------------------+