# Specialized comparison for dataset M2 with others than the default parameters.
#
# Results are written to a CSV file with a dataset column and its simulation nr.
#
# Note:
#   All methods are called via interface functions defined in
#   'simulation_interfaces.R'. In addition this file provides a few convenience
#   functions, namely: 'progress_logger' and 'subspace_dist'.
#
# Dependencies (list of packages loaded):
#   - MASS
#   - dr
#   - MAVE
#   - CVE
source('simulation_interfaces.R') # depends on MASS, dr, MAVE and CVE

# Number of simulations
NR.SIM <- 100L

# Dataset param grid
grid <- expand.grid(
    pmix = c(0.3, 0.4, 0.5),
    lambda = c(0, 0.5, 1, 1.5)
)

# Methods for comparison, see 'simulation_interfaces.R' for their definitions.
methods <- c('CVE', 'wCVE', 'rCVE', 'meanOPG', 'meanMAVE')

# Build result data matrix (repeat each dataset simulation times).
result <- matrix(NA, nrow = nrow(grid) * NR.SIM,
                     ncol = ncol(grid) + length(methods))
colnames(result) <- c(colnames(grid), methods)

# Create a progress logger for length many reports.
logger <- progress_logger(nrow(grid) * NR.SIM * length(methods))
count <- 0
for (sim in seq_len(NR.SIM)) {
    for (i in seq_len(nrow(grid))) {
        # Create new dataset.
        pmix <- grid[i, "pmix"]
        lambda <- grid[i, "lambda"]

        with(dataset("M2", pmix = pmix, lambda = lambda), {
            X <<- X; Y <<- Y; B <<- B
        })

        count <- count + 1
        result[count, "pmix"] <- pmix
        result[count, "lambda"] <- lambda

        # And each reference method.
        for (method in methods) {
            # Report simulation progress to user.
            logger(method)

            # Try/Catch to avoid simulation stop on error, this should not
            # accure for CVE but may be the case for others like OPG.
            tryCatch({
                # Call dimension reduction method.
                dr <- eval(call(method, X = X, Y = Y, k = ncol(B)))
                # Compute distance of estimated `B` to true `B`.
                result[count, method] <- subspace_dist(B, coef(dr, ncol(B)))
            }, error = function(e) {}) # No-Operation error handler!
        }
    }
    # explicit call to the garbage collector.
    gc()
}

path <- paste0(getwd(),
    format(Sys.time(), '/results/method_compair_M2_%Y-%m-%dT%H%M%S'))
# Write entire simulation results into a single file.
write.csv(result, file = paste0(path, ".csv"), row.names = FALSE)