-- More information about this indicator can be found at:
-- https://fxcodebase.com/code/viewtopic.php?f=17&t=73144

--+------------------------------------------------------------------------------------------------+
--|                                                            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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--|                                           Our work would not be possible without your support. |
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--|                                                               Paypal: https://goo.gl/9Rj74e    |
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-- Indicator profile initialization routine
-- Defines indicator profile properties and indicator parameters
-- TODO: Add minimal and maximal value of numeric parameters and default color of the streams
function Init()
    indicator:name("Smooth Step(generalized)");
    indicator:description("");
    indicator:requiredSource(core.Bar);
    indicator:type(core.Oscillator);

  
 	indicator.parameters:addGroup("Calculation");	
 
    indicator.parameters:addInteger("Period", "Period", "", 32, 1, 2000);
    indicator.parameters:addInteger("Order", "Order", "", 1, 1, 16);	
	 indicator.parameters:addGroup("Line Style");	
    indicator.parameters:addInteger("width", "Line width", "", 1, 1, 5);
    indicator.parameters:addInteger("style", "Line style", "", core.LINE_SOLID);
    indicator.parameters:setFlag("style", core.FLAG_LINE_STYLE);
	
	 indicator.parameters:addColor("Up", "Up Line Color", "", core.rgb(0, 255, 0)); 
	 indicator.parameters:addColor("Down", "Down Line Color", "", core.rgb(255, 0, 0)); 
	 
	 
    indicator.parameters:addGroup("Levels");	
    indicator.parameters:addDouble("Level1", "1. Level","", 0.2);
	indicator.parameters:addDouble("Level2", "2. Level","", 0.8); 
	indicator.parameters:addColor("level_overboughtsold_color", "Line Color","", core.rgb(128, 128, 128));
    indicator.parameters:addInteger("level_overboughtsold_width","Line width","", 1, 1, 5);
    indicator.parameters:addInteger("level_overboughtsold_style", "Line Style","", core.LINE_SOLID);
    indicator.parameters:setFlag("level_overboughtsold_style", core.FLAG_LEVEL_STYLE);			 
end

-- Indicator instance initialization routine
-- Processes indicator parameters and creates output streams
-- TODO: Refine the first period calculation for each of the output streams.
-- TODO: Calculate all constants, create instances all subsequent indicators and load all required libraries
-- Parameters block
 
	
local first;
local source = nil;
local Period; 
local Order;
	
-- Routine
 function Prepare(nameOnly)   
 
    
	Period=instance.parameters.Period;
	Order=instance.parameters.Order;
	Up=instance.parameters.Up;
	Down=instance.parameters.Down;
	source = instance.source
 
    local name = profile:id() .. "(" ..  instance.source:name().. "," ..  Period  .. ")";
    instance:name(name); 


    if   (nameOnly) then
        return;
    end
	
	--Indicator= core.indicators:create("AO", source, Period1, Period2);
	first=source:first()+Period ; 
	
	
	--Stream = instance:addInternalStream(0, 0);
 
	
	
    Line = instance:addStream("Line", core.Line, name, "Line", Up, first );
    Line:setPrecision(math.max(2, instance.source:getPrecision()));
    Line:setWidth(instance.parameters.width);
    Line:setStyle(instance.parameters.style);
    Line:addLevel(0);	
    Line:addLevel(instance.parameters.Level1, instance.parameters.level_overboughtsold_style, instance.parameters.level_overboughtsold_width, instance.parameters.level_overboughtsold_color);
    Line:addLevel(instance.parameters.Level2, instance.parameters.level_overboughtsold_style, instance.parameters.level_overboughtsold_width, instance.parameters.level_overboughtsold_color);

end


function Update(period, mode)

	--Indicator:update(mode); 

	if period <= first
	or  not source:hasData(period) 
	then
	return;
	end
	  
	  

    local min, max=mathex.minmax(source, period-Period+1, period)
	
    
	if max~=min then
	raw =(source[period]-min)/(max- min); 
    else
	raw =0;
    end	
			 
    local result = 0;
    for   k = 0,  Order, 1  do
    result  = result + iPascalTriangle(-Order-1, k) * iPascalTriangle(2 * Order + 1, Order - k) * math.pow(raw, Order + k + 1);
	end		 
     
    Line[period]  = math.min(math.max(result,0),1.0);
	if Line[period] > Line[period-1] then
	Line:setColor(period,  Up);			
    else	
	Line:setColor(period,  Down);				  	
	end
end

 

function iPascalTriangle(  a,   b)

  local result = 1.0; 
  
  for    i=0,  b-1 , 1   do
  result=result * ((a-i)/(i+1.0));
  end
  return(result);
  
end

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--|                                                                    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                         |  
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--|SHIB Address               : 0x1817D9ebb000025609Bf5D61E269C64DC84DA735                         |              
--|Binance(ERC20 & BSC only)  : 0xe84751063de8ade7c5fbff5e73f6502f02af4e2c                         | 
--|BitCoin Cash               : 1BEtS465S3Su438Kc58h2sqvVvHK9Mijtg                                 | 
--|LiteCoin                   : LLU8PSY2vsq7B9kRELLZQcKf5nJQrdeqwD                                 |  
--+------------------------------------------------------------------------------------------------+