// This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License https://creativecommons.org/licenses/by-sa/4.0/
//@version=4
study("A Useful MA Weighting Function For Controlling Lag & Smoothness","BWMA",true)
length = input(50)
beta = input(3.,"-Lag",minval=1,maxval=10)
alpha = input(3.,"+Lag",minval=1,maxval=10)
src = input(close)
//----
var b = array.new_float(0)
var css = array.new_color(na)
if barstate.isfirst
for i = 0 to length-1
x = i/(length-1)
w = pow(x,alpha-1)*pow(1-x,beta-1)
array.push(b,w)
array.push(css,#FF1100), array.push(css,#FF1200), array.push(css,#FF1400), array.push(css,#FF1500), array.push(css,#FF1700), array.push(css,#FF1800), array.push(css,#FF1A00), array.push(css,#FF1B00), array.push(css,#FF1D00), array.push(css,#FF1F00), array.push(css,#FF2000), array.push(css,#FF2200), array.push(css,#FF2300), array.push(css,#FF2500), array.push(css,#FF2600), array.push(css,#FF2800), array.push(css,#FF2900), array.push(css,#FF2B00), array.push(css,#FF2D00), array.push(css,#FF2E00), array.push(css,#FF3000), array.push(css,#FF3100), array.push(css,#FF3300), array.push(css,#FF3400), array.push(css,#FF3600), array.push(css,#FF3700), array.push(css,#FF3900), array.push(css,#FF3B00), array.push(css,#FF3C00), array.push(css,#FF3E00), array.push(css,#FF3F00), array.push(css,#FF4100), array.push(css,#FF4200), array.push(css,#FF4400), array.push(css,#FF4500), array.push(css,#FF4700), array.push(css,#FF4900), array.push(css,#FF4A00), array.push(css,#FF4C00), array.push(css,#FF4D00), array.push(css,#FF4F00), array.push(css,#FF5000), array.push(css,#FF5200), array.push(css,#FF5300), array.push(css,#FF5500), array.push(css,#FF5700), array.push(css,#FF5800), array.push(css,#FF5A00), array.push(css,#FF5B00), array.push(css,#FF5D00), array.push(css,#FF5E00), array.push(css,#FF6000), array.push(css,#FF6200), array.push(css,#FF6300), array.push(css,#FF6500), array.push(css,#FF6600), array.push(css,#FF6800), array.push(css,#FF6900), array.push(css,#FF6B00), array.push(css,#FF6C00), array.push(css,#FF6E00), array.push(css,#FF7000), array.push(css,#FF7100), array.push(css,#FF7300), array.push(css,#FF7400), array.push(css,#FF7600), array.push(css,#FF7700), array.push(css,#FF7900), array.push(css,#FF7A00), array.push(css,#FF7C00), array.push(css,#FF7E00), array.push(css,#FF7F00), array.push(css,#FF8100), array.push(css,#FF8200), array.push(css,#FF8400), array.push(css,#FF8500), array.push(css,#FF8700), array.push(css,#FF8800), array.push(css,#FF8A00), array.push(css,#FF8C00), array.push(css,#FF8D00), array.push(css,#FF8F00), array.push(css,#FF9000), array.push(css,#FF9200), array.push(css,#FF9300), array.push(css,#FF9500), array.push(css,#FF9600), array.push(css,#FF9800), array.push(css,#FF9A00), array.push(css,#FF9B00), array.push(css,#FF9D00), array.push(css,#FF9E00), array.push(css,#FFA000), array.push(css,#FFA100), array.push(css,#FFA300), array.push(css,#FFA400), array.push(css,#FFA600), array.push(css,#FFA800), array.push(css,#FFA900), array.push(css,#FFAB00), array.push(css,#FDAC00), array.push(css,#FBAD02), array.push(css,#F9AE03), array.push(css,#F7AE04), array.push(css,#F5AF06), array.push(css,#F3B007), array.push(css,#F1B108), array.push(css,#EFB20A), array.push(css,#EDB30B), array.push(css,#EBB30C), array.push(css,#E9B40E), array.push(css,#E7B50F), array.push(css,#E4B610), array.push(css,#E2B712), array.push(css,#E0B813), array.push(css,#DEB814), array.push(css,#DCB916), array.push(css,#DABA17), array.push(css,#D8BB18), array.push(css,#D6BC1A), array.push(css,#D4BD1B), array.push(css,#D2BD1C), array.push(css,#D0BE1E), array.push(css,#CEBF1F), array.push(css,#CCC020), array.push(css,#C9C122), array.push(css,#C7C223), array.push(css,#C5C224), array.push(css,#C3C326), array.push(css,#C1C427), array.push(css,#BFC528), array.push(css,#BDC62A), array.push(css,#BBC72B), array.push(css,#B9C72C), array.push(css,#B7C82E), array.push(css,#B5C92F), array.push(css,#B3CA30), array.push(css,#B0CB32), array.push(css,#AECC33), array.push(css,#ACCC34), array.push(css,#AACD36), array.push(css,#A8CE37), array.push(css,#A6CF38), array.push(css,#A4D03A), array.push(css,#A2D13B), array.push(css,#A0D13C), array.push(css,#9ED23E), array.push(css,#9CD33F), array.push(css,#9AD440), array.push(css,#98D542), array.push(css,#95D643), array.push(css,#93D644), array.push(css,#91D746), array.push(css,#8FD847), array.push(css,#8DD948), array.push(css,#8BDA4A), array.push(css,#89DB4B), array.push(css,#87DB4C), array.push(css,#85DC4E), array.push(css,#83DD4F), array.push(css,#81DE50), array.push(css,#7FDF52), array.push(css,#7CE053), array.push(css,#7AE054), array.push(css,#78E156), array.push(css,#76E257), array.push(css,#74E358), array.push(css,#72E45A), array.push(css,#70E55B), array.push(css,#6EE55C), array.push(css,#6CE65E), array.push(css,#6AE75F), array.push(css,#68E860), array.push(css,#66E962), array.push(css,#64EA63), array.push(css,#61EA64), array.push(css,#5FEB66), array.push(css,#5DEC67), array.push(css,#5BED68), array.push(css,#59EE6A), array.push(css,#57EF6B), array.push(css,#55EF6C), array.push(css,#53F06E), array.push(css,#51F16F), array.push(css,#4FF270), array.push(css,#4DF372), array.push(css,#4BF473), array.push(css,#48F474), array.push(css,#46F576), array.push(css,#44F677), array.push(css,#42F778), array.push(css,#40F87A), array.push(css,#3EF97B), array.push(css,#3CF97C), array.push(css,#3AFA7E), array.push(css,#38FB7F), array.push(css,#36FC80), array.push(css,#34FD82), array.push(css,#32FE83), array.push(css,#30FF85),
den = array.sum(b)
//----
sum = 0.
for i = 0 to length-1
sum := sum + src[i]*array.get(b,i)
filt = sum/den
//----
os = rsi(filt,length)/100
plot(filt,"Plot",array.get(css,round(os*199)),2)
