-- More information about this indicator can be found at:
-- http://fxcodebase.com/code/viewtopic.php?f=17&t=69318

--+------------------------------------------------------------------------------------------------+
--|                                                            Copyright © 2023, Gehtsoft USA LLC  | 
--|                                                                         http://fxcodebase.com  |
--+------------------------------------------------------------------------------------------------+
--|                                                                   Developed by : Mario Jemic   |                    
--|                                                                       mario.jemic@gmail.com    |
--|                                                        https://AppliedMachineLearning.systems  |
--|                                                                       https://mario-jemic.com/ |
--+------------------------------------------------------------------------------------------------+

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-- Indicator profile initialization routine

function Init()
    indicator:name("REFLEX INDICATOR");
    indicator:description("");
    indicator:requiredSource(core.Tick);
    indicator:type(core.Oscillator);
	
	indicator.parameters:addGroup("Calculation"); 
    indicator.parameters:addInteger("Length", "Length", "", 20, 1, 2000);
 
 
	
	indicator.parameters:addGroup("Style"); 	
    indicator.parameters:addColor("color", "Line Color", "", core.rgb(255, 0, 0));
	indicator.parameters:addInteger("style", "Line Style", "", core.LINE_SOLID);
    indicator.parameters:setFlag("style", core.FLAG_LEVEL_STYLE);	
	indicator.parameters:addInteger("width", "Line Width", "", 3, 1, 5);
	
end

-- Indicator instance initialization routine
-- Processes indicator parameters and creates output streams
-- Parameters block

 
local Length; 
local first;
local source = nil;
local a1, b2, c2,c3, c1; 
local Oscillator;  
 
local Slope,Filt,MS;
-- Routine
 function Prepare(nameOnly)   
 
 
    Length= instance.parameters.Length;
	
	
	local Parameters= Length;
 
    local name = profile:id() .. "(" ..  instance.source:name() ..  ", " ..  Parameters .. ")";
    instance:name(name); 


    if   (nameOnly) then
        return;
    end
	
	--Gently smooth the data in a SuperSmoother
	a1 = math.exp(-1.414*3.14159 / (.5*Length));
	b1 = 2*a1*math.cos(1.414*180 / (.5*Length));
	c2 = b1;
	c3 = -a1*a1;
	c1 = 1 - c2 - c3;

    
			
    source = instance.source; 
    first=source:first()+2 ;
	
	Filt= instance:addInternalStream(0, 0);
	Slope= instance:addInternalStream(0, 0);
	MS= instance:addInternalStream(0, 0);
   
 
	Oscillator = instance:addStream("Oscillator" , core.Line, " Oscillator"," Oscillator",instance.parameters.color, first );
	Oscillator:setWidth(instance.parameters.width);
    Oscillator:setStyle(instance.parameters.style);
    Oscillator:setPrecision(math.max(2, source:getPrecision()));
	
	
end

-- Indicator calculation routine
function Update(period, mode)

 
	if period <= source:first() +2
	then
	return;
	end
	
	
	
	Filt[period] = c1*(source[period] + source[period-1]) / 2 + c2*Filt[period-1] + c3*Filt[period-2];

	--Length is assumed cycle period
	
	if period < source:first() +2+Length
	then
	return;
	end
	
	Slope[period] = (Filt[period-Length] - Filt[period]) / Length;
	--Sum the differences
	local Sum = 0;
	for count = 1, Length,1 do
	Sum = Sum + (Filt[period] + count*Slope[period]) - Filt[period-count];
	end
	Sum = Sum / Length;
	--Normalize in terms of Standard Deviations
	
	 MS[period] = .04*Sum*Sum + .96*MS[period-1];
	if MS[period] ~= 0 then 
	Oscillator[period] = Sum / math.sqrt(MS[period]);
	else
	Oscillator[period]=0;
	end
	 
				  
end


--+------------------------------------------------------------------------------------------------+
--|                                                                    We appreciate your support. | 
--+------------------------------------------------------------------------------------------------+
--|                                                               Paypal: https://goo.gl/9Rj74e    |
--|                                                             Patreon :  https://goo.gl/GdXWeN   |  
--+------------------------------------------------------------------------------------------------+
--|                                                                   Developed by : Mario Jemic   |                    
--|                                                                       mario.jemic@gmail.com    |
--|                                                        https://AppliedMachineLearning.systems  |
--|                                                                       https://mario-jemic.com/ |
--+------------------------------------------------------------------------------------------------+

--+------------------------------------------------------------------------------------------------+
--|BitCoin                    : 15VCJTLaz12Amr7adHSBtL9v8XomURo9RF                                 |  
--|Ethereum                   : 0x8C110cD61538fb6d7A2B47858F0c0AaBd663068D                         |  
--|SOL Address                : 4tJXw7JfwF3KUPSzrTm1CoVq6Xu4hYd1vLk3VF2mjMYh                       |
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--|Dogecoin Address           : DBGXP1Nc18ZusSRNsj49oMEYFQgAvgBVA8                                 |
--|SHIB Address               : 0x1817D9ebb000025609Bf5D61E269C64DC84DA735                         |              
--|Binance(ERC20 & BSC only)  : 0xe84751063de8ade7c5fbff5e73f6502f02af4e2c                         | 
--|BitCoin Cash               : 1BEtS465S3Su438Kc58h2sqvVvHK9Mijtg                                 | 
--|LiteCoin                   : LLU8PSY2vsq7B9kRELLZQcKf5nJQrdeqwD                                 |  
--+------------------------------------------------------------------------------------------------+