Nothing
PE <- function(P, zeta, simpver = NULL){
p <- length(P)
if(is.null(simpver)){
if(p != 5)
stop("The number of parameters is incorrect!")
a <- P[1]
b <- P[2]
c1 <- P[3]
c2 <- P[4]
c3 <- P[5]
}
if(!is.null(simpver)){
if( !(simpver %in% seq(1, 3, by=1)) )
stop("'simpver' should be chosen in versions 1 to 3!")
if(simpver==1){
if(p != 4)
stop("The number of parameters is incorrect!")
a <- P[1]
b <- P[2]
c1 <- P[3]
c2 <- P[4]
c3 <- 0
}
if(simpver==2){
if(p != 3)
stop("The number of parameters is incorrect!")
a <- P[1]
b <- P[2]
c1 <- P[3]
c2 <- 0
c3 <- 0
}
if(simpver==3){
if(p != 3)
stop("The number of parameters is incorrect!")
a <- P[1]
b <- P[2]
c1 <- 0
c2 <- P[3]
c3 <- 0
}
}
x <- b*cos(zeta)*(1+c1*sin(zeta)+c2*(sin(zeta))^2+c3*(sin(zeta))^3)
y <- a*sin(zeta)
r <- sqrt(x^2 + y^2)
list( x=x, y=y, r=r )
}
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