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#' CADF to purchase string
#' Extracts purchase strings from the CADF and formats as a R matrix.
#' @details
#' Output is a matrix. Rows are number of customers; columns = maxT
#' @export ca_to_ps_matrix
#' @param ca.data Data in the CADF format generated by the CADF _to_CADF functions and Customer class.
#' @param maxT Number of columns in the matrix
#' @return Matrix with dimensions C x maxT (number of customers by maxT)
#' library(CADF)
#' data("transactions")
#' customer <- subset(transactions, transactions$ID == 40)
#' today.study.cutoff <- max(customer$PURCHASE_DATE)
#' customer.40.CADF <- list(Customer$new(customer, today.study.cutoff))
#' psmatrix <- customer.40.CADF$purchase_string_as_matrix
#' psmatrix2 <- ca_to_ps_matrix(customer.40.CADF, 15)
ca_to_ps_matrix <- function(ca.data, maxT) {
x <- ca.data
extract.ps <- lapply(x, function(x) x$purchase_string)
extract.ps <- unlist(extract.ps)
extract.ps <- extract.ps[!is.na(extract.ps)]
extract.ps <- extract.ps[extract.ps != 1]
rows <- length(extract.ps)
columns <- maxT
m <- matrix(nrow = rows, ncol = columns)
for(i in 1:length(extract.ps)) {
ps <- extract.ps[[i]]
ps <- substr(ps, 1, maxT)
ps <- as.numeric(strsplit(ps, split='')[[1]])
m[i, 1:length(ps)] <- ps
}
m[is.na(m)] <- 0
return (m)
}
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