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simplify_mixed_imps.R
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simplify_mixed_imps <- function(
sigma,
pos_id = length(sigma$get_attributes()) / 2,
mixed_simplifications = NULL,
simp_right = TRUE,
apply_pos_logic = TRUE,
verbose = FALSE
) {
tictoc::tic()
attr <- sigma$get_attributes()
LHS <- sigma$get_LHS_matrix()
RHS <- sigma$get_RHS_matrix()
# Reduction
RHS[LHS > 0] <- 0
# Remove contradictions
negLHS <- negate(LHS)
id_cont <- which(colSums(LHS * negLHS) > 0)
if (length(id_cont) > 0) {
LHS <- LHS[, -id_cont]
RHS <- RHS[, -id_cont]
}
iter <- 0
oper <- length(id_cont)
LHS_Sigma <- LHS
RHS_Sigma <- RHS
on.exit({
cat("User interrupted.\n")
timer <- tictoc::toc(quiet = TRUE)
Sigma <- ImplicationSet$new(attributes = attr, lhs = LHS_Sigma, rhs = RHS_Sigma)
return(list(Sigma,
iter,
oper,
as.numeric(timer$toc - timer$tic)))
})
repeat {
iter <- iter + 1
if (verbose) {
cat("** Iteration #", iter, "\n")
}
change <- FALSE
LHS_Sigma_s <- LHS_Sigma
RHS_Sigma_s <- RHS_Sigma
LHS_Sigma <- NULL
RHS_Sigma <- NULL
if (is.null(LHS_Sigma_s) ||
ncol(LHS_Sigma_s) == 0) break
for (i in seq(ncol(LHS_Sigma_s))) {
A <- .ext_col(LHS_Sigma_s, i)
B <- .ext_col(RHS_Sigma_s, i)
if (verbose) {
cat("Studying A -> B:", .implication_to_string(A, B, attr), "\n")
}
L <- simplify_contradiction(A, B, attr, pos_id, verbose = verbose)
A <- L[[1]]
B <- L[[2]]
foo <- L[[3]]
change <- change | foo
if (foo) oper <- oper + 1
LHS_Gamma <- NULL
RHS_Gamma <- NULL
if (!is.null(LHS_Sigma) && (ncol(LHS_Sigma) > 0)) {
for (j in seq(ncol(LHS_Sigma))) {
C <- .ext_col(LHS_Sigma, j)
D <- .ext_col(RHS_Sigma, j)
if (verbose) {
cat(" - Applying C -> D:", .implication_to_string(C, D, attr), "\n")
}
L <- simplify_contradiction(C, D, attr, pos_id, verbose = verbose)
C <- L[[1]]
D <- L[[2]]
foo <- L[[3]]
change <- change | foo
if (foo) oper <- oper + 1
CD <- .union2(C, D)
AB <- .union2(A, B)
if (apply_pos_logic && (sum(B) > 0)) {
if ((.subset(C, A)[1] && .subset(A, CD)[1]) ||
(.subset(A, C)[1] && .subset(C, AB)[1])) {
A_orig <- A
B_orig <- B
A <- A * C
B <- .union2(B, D)
D <- empty_set(nrow(D))
change <- TRUE
oper <- oper + 1
if (verbose) {
cat("^ Applied [Comp]\n")
cat("^ Changed A -> B:\n")
cat("^ from:", .implication_to_string(A_orig, B_orig, attr), "\n")
cat("^ to:", .implication_to_string(A, B, attr), "\n")
}
} else {
if ((.subset(A, C)[1]) && !(.equal_sets(A, C)[1])) {
if (!(.subset(D, B)[1])) {
C_orig <- C
D_orig <- D
C <- .difference2(C, B)
D <- .difference2(D, B)
if (any(C != C_orig) || any(D != D_orig)) {
change <- TRUE
oper <- oper + 1
if (verbose) {
cat("^ Applied [Simp]\n")
cat("^ Changed C -> D:\n")
cat("^ from:", .implication_to_string(C_orig, D_orig, attr), "\n")
cat("^ to:", .implication_to_string(C, D, attr), "\n")
}
}
}
} else {
if ((.subset(C, A)[1]) && !(.equal_sets(C, A)[1])) {
A_orig <- A
B_orig <- B
A <- .difference2(A, D)
B <- .difference2(B, D)
if (any(A != A_orig) || any(B != B_orig)) {
change <- TRUE
oper <- oper + 1
if (verbose) {
cat("^ Applied [Simp]\n")
cat("^ Changed A -> B:\n")
cat("^ from:", .implication_to_string(A_orig, B_orig, attr), "\n")
cat("^ to:", .implication_to_string(A, B, attr), "\n")
}
}
}
}
}
}
# Here they come! (the mixed simplifications)
for (s in mixed_simplifications) {
f <- simplificationsRegistry$get_entry(s)$fun
L <- f(A, B, C, D, attr, pos_id, verbose = verbose)
foo <- L[[5]]
if (foo) {
A_new <- L[[1]]
B_new <- L[[2]]
C_new <- L[[3]]
D_new <- L[[4]]
if (!simp_right) {
if (.equal_sets(A, A_new)[1] &&
.equal_sets(C, C_new)[1]) {
foo <- FALSE
}
} else {
B <- B_new
D <- D_new
}
A <- A_new
C <- C_new
}
change <- change | foo
if (foo) oper <- oper + 1
}
if (cardinal(D) > 0) {
if (verbose) {
cat("-> Added C -> D:", .implication_to_string(C, D, attr), "\n")
}
LHS_Gamma <- cbind(LHS_Gamma, C)
RHS_Gamma <- cbind(RHS_Gamma, D)
}
}
}
if (cardinal(B) == 0) {
LHS_Sigma <- LHS_Gamma
RHS_Sigma <- RHS_Gamma
} else {
L <- simplify_contradiction(A, B, attr, pos_id, verbose = verbose)
A <- L[[1]]
B <- L[[2]]
foo <- L[[3]]
change <- change | foo
if (foo) oper <- oper + 1
if (verbose) {
cat("--> Added finally A -> B:",
.implication_to_string(A, B, attr), "\n")
}
LHS_Sigma <- cbind(LHS_Gamma, A)
RHS_Sigma <- cbind(RHS_Gamma, B)
}
}
if (verbose) {
cat("End of iteration #", iter, "with", oper, "operations\n")
}
if (!change) break
}
timer <- tictoc::toc(quiet = TRUE)
Sigma <- ImplicationSet$new(attributes = attr, lhs = LHS_Sigma, rhs = RHS_Sigma)
return(list(Sigma,
iter,
oper,
as.numeric(timer$toc - timer$tic)))
}