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# This example comes from the first example program in the first edition
# of "Using MPI" by William Gropp, Ewing Lusk, and Anthony Skjellum.
# It may have taken a significant amount of compute time in 1994,
# but not now. But it's an interesting example of using vectorization
# with parallelization.
suppressMessages(library(doMPI))
# Create and register an MPI cluster
cl <- startMPIcluster()
registerDoMPI(cl)
# Define a "parallel pi" function
ppi <- function(n=1000) {
w <- getDoParWorkers()
h <- 1 / n
f <- function(s) h * s
foreach(i=1:w, .combine='sum', .multicombine=TRUE, .final=f) %dopar% {
x <- h * (seq(i, n, by=w) - 0.5)
sum(4 / (1 + x * x))
}
}
# Execute the "parallel pi" function and print the result
print(ppi())
# Shutdown the cluster and quit
closeCluster(cl)
mpi.quit()
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