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#'
#' polynom.R
#'
#' $Revision: 1.1 $ $Date: 2017/01/02 09:48:36 $
#'
polynom <- function(x, ...) {
rest <- list(...)
# degree not given
if(length(rest) == 0)
stop("degree of polynomial must be given")
#call with single variable and degree
if(length(rest) == 1) {
degree <- ..1
if((degree %% 1) != 0 || length(degree) != 1 || degree < 1)
stop("degree of polynomial should be a positive integer")
# compute values
result <- outer(x, 1:degree, "^")
# compute column names - the hard part !
namex <- deparse(substitute(x))
# check whether it needs to be parenthesised
if(!is.name(substitute(x)))
namex <- paste("(", namex, ")", sep="")
# column names
namepowers <- if(degree == 1) namex else
c(namex, paste(namex, "^", 2:degree, sep=""))
namepowers <- paste("[", namepowers, "]", sep="")
# stick them on
dimnames(result) <- list(NULL, namepowers)
return(result)
}
# call with two variables and degree
if(length(rest) == 2) {
y <- ..1
degree <- ..2
# list of exponents of x and y, in nice order
xexp <- yexp <- numeric()
for(i in 1:degree) {
xexp <- c(xexp, i:0)
yexp <- c(yexp, 0:i)
}
nterms <- length(xexp)
# compute
result <- matrix(, nrow=length(x), ncol=nterms)
for(i in 1:nterms)
result[, i] <- x^xexp[i] * y^yexp[i]
# names of these terms
namex <- deparse(substitute(x))
# namey <- deparse(substitute(..1)) ### seems not to work in R
zzz <- as.list(match.call())
namey <- deparse(zzz[[3]])
# check whether they need to be parenthesised
# if so, add parentheses
if(!is.name(substitute(x)))
namex <- paste("(", namex, ")", sep="")
if(!is.name(zzz[[3]]))
namey <- paste("(", namey, ")", sep="")
nameXexp <- c("", namex, paste(namex, "^", 2:degree, sep=""))
nameYexp <- c("", namey, paste(namey, "^", 2:degree, sep=""))
# make the term names
termnames <- paste(nameXexp[xexp + 1],
ifelse(xexp > 0 & yexp > 0, ".", ""),
nameYexp[yexp + 1],
sep="")
termnames <- paste("[", termnames, "]", sep="")
dimnames(result) <- list(NULL, termnames)
#
return(result)
}
stop("Can't deal with more than 2 variables yet")
}
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