Nothing

```
.batch_apply <- function(LHS, RHS, attributes,
rules = c("generalization",
"composition"),
batch_size = ncol(LHS),
parallelize = FALSE,
reorder = FALSE) {
if (is.null(LHS) || (ncol(LHS) == 0)) {
return(list(lhs = NULL, rhs = NULL))
}
n_implications <- ncol(LHS)
if (reorder) {
# Introduce some random order into implications
ordering <- sample(seq(n_implications),
size = n_implications)
LHS <- LHS[, ordering]
RHS <- RHS[, ordering]
}
# Make batches
idx <- c(seq(1, n_implications, by = batch_size),
n_implications + 1)
# Parallel execution?
if (parallelize && requireNamespace("parallel", quietly = TRUE)) {
message("Using parallel execution\n")
my_apply <- function(x, FUN)
parallel::mclapply(x, FUN, mc.cores = parallel::detectCores())
verbose <- TRUE
} else {
my_apply <- lapply
verbose <- TRUE
}
# Process each batch
RES <- my_apply(seq_along(idx[-1]),
function(i) {
.process_batch(LHS = LHS[, idx[i]:(idx[i + 1] - 1)],
RHS = RHS[, idx[i]:(idx[i + 1] - 1)],
attributes = attributes,
rules = rules,
verbose = verbose)
})
LHS <- lapply(RES, function(r) r$lhs)
RHS <- lapply(RES, function(r) r$rhs)
LHS <- do.call(cbind, args = LHS)
RHS <- do.call(cbind, args = RHS)
return(list(lhs = LHS, rhs = RHS))
}
```

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