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#' Compute the primitive partition identities
#'
#' ppi runs 4ti2's ppi program to compute the primitive partition identities,
#' that is, the Graver basis of 1:N.
#'
#' @param N A postive integer > 2
#' @param dir Directory to place the files in, without an ending /
#' @param quiet If FALSE, messages the 4ti2 output
#' @param shell Messages the shell code used to do the computation
#' @param ... Additional arguments to pass to the function
#' @return A matrix containing the basis as its columns (for easy addition to
#' tables)
#' @seealso [graver()]
#' @export
#' @examples
#'
#' if (has_4ti2()) {
#'
#' ppi(3)
#' t(ppi(3)) %*% 1:3
#' plot_matrix(ppi(3))
#'
#' graver(t(1:3))
#' plot_matrix(graver(t(1:3)))
#'
#' ppi(5, quiet = FALSE, shell = TRUE)
#'
#' }
#'
#'
ppi <- function(N, dir = tempdir(), quiet = TRUE, shell = FALSE, ...){
if (!has_4ti2()) missing_4ti2_stop()
## arg checking
stopifnot(is.wholenumber(N) && N > 2)
## compute other args
opts <- as.list(match.call(expand.dots = FALSE))[["..."]]
if(is.null(opts)){
opts <- ""
} else {
opts <- str_c("-", names(opts), "", unlist(opts))
opts <- str_c(opts, collapse = " ")
}
## move to dir and run 4it2 ppi
####################################
## make dir to put 4ti2 files in (within the tempdir) timestamped
dir.create(dir2 <- file.path(dir, timeStamp()))
## switch to temporary directory
oldWd <- getwd()
setwd(dir2); on.exit(setwd(oldWd), add = TRUE)
## run 4ti2
if (is_mac() || is_unix()) {
system2(
file.path(get_4ti2_path(), "ppi"),
paste(opts, N),
stdout = "ppi_out",
stderr = "ppi_err"
)
# generate shell code
shell_code <- glue(
"{file.path(get_4ti2_path(), 'ppi')} {paste(opts, file.path(dir2, 'system'))} > ppi_out 2> ppi_err"
)
if(shell) message(shell_code)
} else if (is_win()) {
system2(
"cmd.exe",
glue("/c env.exe {file.path(get_4ti2_path(), 'ppi')} {opts} {N}"),
stdout = "ppi_out",
stderr = "ppi_err"
)
# generate shell code
shell_code <- glue(
"cmd.exe /c env.exe {file.path(get_4ti2_path(), 'ppi')} {opts} {N} > ppi_out 2> ppi_err"
)
if(shell) message(shell_code)
}
## print output, if desired
if(!quiet) cat(readLines("ppi_out"), sep = "\n")
## read and return
t(read.latte(str_c("ppi", N, ".gra")))
}
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