R Under development (unstable) (2024-02-11 r85891 ucrt) -- "Unsuffered Consequences"
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> library(pcalg)
> doExtras <- pcalg:::doExtras()
> 
> showProc.time <- local({
+     pct <- proc.time()
+     function() { ## CPU elapsed __since last called__
+ 	ot <- pct ; pct <<- proc.time()
+ 	cat('Time elapsed: ', (pct - ot)[1:3],'\n')
+     }
+ })
> 
> ########################################################
> ##
> ##       Example 1: Zhang (2008), Fig. 6, p.1882
> ##                  Paper with rules
> ##
> ########################################################
> ## Removed here: is already in ../man/fci.Rd
> ## -------                     -------------
> showProc.time()
Time elapsed:  0 0 0 
> 
> ########################################################
> ##
> ##       Example 2: Zhang (2006), Fig. 5.2, p.198
> ##                  Dissertation
> ##
> ########################################################
> 
> ## create the graph g
> p <- 5; . <- 0
> V2 <- LETTERS[1:6]
> edL2 <- setNames(vector("list", length=length(V2)), V2)
> edL2[[1]] <- list(edges=4,weights=1)
> edL2[[2]] <- list(edges=c(4,5),weights=c(0.5,1))
> edL2[[3]] <- list(edges=4,weights=1)
> edL2[[4]] <- list(edges=5,weights=1)
> edL2[[6]] <- list(edges=c(3,4),weights=c(1,1))
> g2 <- new("graphNEL", nodes=V2, edgeL=edL2,edgemode="directed")
> print.table(1*(as(g2, "matrix") != 0), zero.print=".")
  A B C D E F
A . . . 1 . .
B . . . 1 1 .
C . . . 1 . .
D . . . . 1 .
E . . . . . .
F . . 1 1 . .
> ##   A B C D E F
> ## A . . . 1 . .
> ## B . . . 1 1 .
> ## C . . . 1 . .
> ## D . . . . 1 .
> ## E . . . . . .
> ## F . . 1 1 . .
> 
> ## hidden:
> L2 <- 6
> 
> ## compute the true covariance matrix of g
> cov.mat2 <- trueCov(g2)
> ## delete rows and columns which belong to L
> true.cov2 <- cov.mat2[-L2,-L2]
> ## transform it into a correlation matrix
> true.corr2 <- cov2cor(true.cov2)
> 
> ## PAG
> suffStat2 <- list(C = true.corr2, n = 10^9)
> true.pag2 <- fci(suffStat2, indepTest=gaussCItest, alpha = 0.99, p=p)
> 
> ## define correct PAG
> corr.pag2 <- rbind(c(.,.,.,2,.),
+                    c(.,.,.,2,2),
+                    c(.,.,.,2,.),
+                    c(1,1,1,.,2),
+                    c(.,3,.,3,.))
> 
> correctEst2 <- all(corr.pag2 == true.pag2@amat)
> if (!correctEst2) stop("Test fci wrong: example 2!")
> showProc.time()
Time elapsed:  0.09 0 0.1 
> 
> if (doExtras) {
+ 
+ ########################################################
+ ##
+ ##             Example 3: random DAG
+ ##
+ ########################################################
+ 
+ suppressWarnings(RNGversion("3.5.0"))
+ set.seed(40)
+ ##Random graph only R1-R10
+ g3 <- randomDAG(14,0.3)
+ 
+ ## Define the latent variables
+ L3 <- c(8,10)
+ 
+ ##pcAlgo.Perfect with true correlation matrix
+ ##______________________________________________________
+ p <- 12
+ amat.g <- as(g3,"matrix")
+ colnames(amat.g) <- rownames(amat.g) <- graph::nodes(g3)
+ amat.g[amat.g!=0] <- 1
+ print.table(amat.g, zero.print=".")
+ 
+ ##Compute the true covariance matrix of g
+ cov.mat3 <- trueCov(g3)
+ 
+ ##Delete rows and columns which belong to L
+ true.cov3 <- cov.mat3[-L3,-L3]
+ ##Transform it in a correlation matrix
+ true.corr3 <- cov2cor(true.cov3)
+ 
+ ##PAG
+ suffStat3 <- list(C = true.corr3, n = 10^9)
+ true.pag3 <- fci(suffStat3, indepTest=gaussCItest, alpha = 0.99, p=p)
+ 
+ ##define correct PAG
+ corr.pag3 <- rbind(c(.,.,2,.,.,2,.,.,.,2,2,2),
+                    c(.,.,2,.,2,.,.,.,.,2,2,2),
+                    c(1,1,.,.,2,.,2,2,.,.,.,.),
+                    c(.,.,.,.,.,2,.,.,2,.,2,2),
+                    c(.,3,3,.,.,2,2,.,2,2,2,.),
+                    c(3,.,.,1,3,.,2,.,2,.,.,.),
+                    c(.,.,3,.,3,3,.,.,.,.,.,.),
+                    c(.,.,3,.,.,.,.,.,.,.,.,.),
+                    c(.,.,.,3,3,3,.,.,.,.,.,.),
+                    c(3,3,.,.,3,.,.,.,.,.,2,.),
+                    c(3,3,.,1,3,.,.,.,.,1,.,2),
+                    c(3,3,.,3,.,.,.,.,.,.,3,.))
+ 
+ correctEst3 <- all(corr.pag3 == true.pag3@amat)
+ if (!correctEst3) stop("Test fci wrong: example 3!")
+ showProc.time()
+ 
+ 
+ #########################################################################################
+ ##
+ ##      Example 4: Spirtes 1997 p.21 DAG with latent variables and p.24 PAG
+ ##
+ #########################################################################################
+ 
+ p <- 5; . <- 0
+ amat4 <- rbind(c(.,.,.,.,1,1,.),
+                c(.,.,.,1,.,.,1),
+                c(.,.,.,1,.,1,.),
+                c(.,.,.,.,1,.,.),
+                c(.,.,.,.,.,.,.),
+                c(.,.,.,.,.,.,1),
+                c(.,.,.,.,.,.,.))
+ colnames(amat4) <- rownames(amat4) <- as.character(1:7)
+ L4 <- c(1,2)
+ V4 <- as.character(1:7)
+ edL4 <- vector("list",length=7)
+ names(edL4) <- V4
+ edL4[[1]] <- list(edges=c(5,6),weights=c(abs(rnorm(1)),abs(rnorm(1))))
+ edL4[[2]] <- list(edges=c(4,7),weights=c(abs(rnorm(1)),abs(rnorm(1))))
+ edL4[[3]] <- list(edges=c(4,6),weights=c(abs(rnorm(1)),abs(rnorm(1))))
+ edL4[[4]] <- list(edges=5,weights=c(abs(rnorm(1))))
+ edL4[[6]] <- list(edges=7,weights=c(abs(rnorm(1))))
+ g4 <- new("graphNEL", nodes=V4, edgeL=edL4,edgemode="directed")
+ 
+ ## compute the true covariance matrix of g1
+ cov.mat4 <- trueCov(g4)
+ 
+ ## delete rows and columns which belong to L1
+ true.cov4 <- cov.mat4[-L4,-L4]
+ 
+ ## transform it into a correlation matrix
+ true.corr4 <- cov2cor(true.cov4)
+ 
+ ##PAG
+ suffStat4 <- list(C = true.corr4, n = 10^9)
+ true.pag4 <- fci(suffStat4, indepTest=gaussCItest, alpha = 0.99, p=p)
+ 
+ ##define correct PAG
+ corr.pag4 <- rbind(c(.,2,.,2,.),
+                    c(1,.,2,.,2),
+                    c(.,3,.,2,.),
+                    c(1,.,2,.,2),
+                    c(.,2,.,3,.))
+ 
+ correctEst4 <- all(corr.pag4 == true.pag4@amat)
+ if (!correctEst4) stop("Test fci wrong: example 4!")
+ showProc.time()
+ 
+ }
> 
> proc.time()
   user  system elapsed 
   1.50    0.26    1.70