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Batman Function
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| # Credit: https://www.r-bloggers.com/the-batmans-ecosystem/ | |
| f1u <- function(x) ifelse ((abs(x) > 3 & abs(x) <= 7), 3*sqrt(1-(x/7)^2), 0) | |
| f1d <- function(x) ifelse ((abs(x) >= 4 & abs(x) <= 7), -3*sqrt(1-(x/7)^2), 0) | |
| f2u <- function(x) ifelse ((abs(x) > 0.50 & abs(x) < 0.75), 3*abs(x)+0.75, 0) | |
| f2d <- function(x) ifelse ((abs(x) > -4 & abs(x) < 4), abs(x/2)-(3*sqrt(33)-7)*x^2/112-3 + sqrt(1-(abs(abs(x)-2)-1)^2), 0) | |
| f3u <- function(x) ifelse ((x > -0.5 & x < 0.5), 2.25, 0) | |
| f4u <- function(x) ifelse ((abs(x) > 1 & abs(x) <= 3), 6 * sqrt(10)/7 + (1.5 - 0.5 * abs(x)) * sqrt(abs(abs(x)-1)/(abs(x)-1)) - 6 * sqrt(10) * sqrt(4-(abs(x)-1)^2)/14, 0) | |
| f5u <- function(x) ifelse ((abs(x) >= 0.75 & abs(x) <= 1), 9-8*abs(x), 0) | |
| fu <- function (x) f1u(x) + f2u(x) + f3u(x) + f4u(x) + f5u(x) | |
| fd <- function (x) f1d(x) + f2d(x) | |
| batman <- function(r,x) ifelse(r%%2==0, fu(x), fd(x)) |
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