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Type 'q()' to quit R. > library(pcalg) > suppressWarnings(RNGversion("3.5.0")) > ## setwd("/sfs/u/kalischm/research/packages/unifDAGs/") > ## source("aux_general.R") > ## source("randDAG.R") > > ### Check all methods: ---------------------------------------------- > > ## MM hack: extract them from the randDAG() function definition > body. <- body(randDAG) > is.switch <- function(P) !is.symbol(P) && identical(as.symbol("switch"), P[[1]]) > switchCall <- body.[vapply(body., is.switch, NA)][[1]] > stopifnot(identical(as.symbol("switch"), switchCall[[1]])) > (rDAGmeths <- names(switchCall)[-c(1:2, length(switchCall))]) [1] "er" "regular" "watts" "bipartite" "barabasi" "geometric" [7] "power" "interEr" > rDAGall <- function(n, d, ...) + sapply(rDAGmeths, function(meth) randDAG(n,d, method=meth, ...), + simplify=FALSE) > set.seed(37) > rD.10.4 <- rDAGall(10, 4) # 2024-02: no "low-level warning" anymore > ## , warning = function(w) { > ## rDAG.warn <<- conditionMessage(w); invokeRestart("muffleWarning") }) > ## ## with a low-level warning: > ## ## IGNORE_RDIFF_BEGIN > ## rDAG.warn > ## ## IGNORE_RDIFF_END > ## stopifnot(grepl("graph_molloy_.*Cannot shuffle graph", rDAG.warn)) > ## > rD.10.4 # looks ok $er A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 21 $regular A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 20 $watts A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 20 $bipartite A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 15 $barabasi A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 0 $geometric A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 12 $power A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 13 $interEr A graphNEL graph with directed edges Number of Nodes = 10 Number of Edges = 16 > ## Show, but ignore the package startup messages: > ## IGNORE_RDIFF_BEGIN > stopifnot( require("graph") ) Loading required package: graph Loading required package: BiocGenerics Attaching package: 'BiocGenerics' The following objects are masked from 'package:stats': IQR, mad, sd, var, xtabs The following objects are masked from 'package:base': Filter, Find, Map, Position, Reduce, anyDuplicated, aperm, append, as.data.frame, basename, cbind, colnames, dirname, do.call, duplicated, eval, evalq, get, grep, grepl, intersect, is.unsorted, lapply, mapply, match, mget, order, paste, pmax, pmax.int, pmin, pmin.int, rank, rbind, rownames, sapply, setdiff, table, tapply, union, unique, unsplit, which.max, which.min > ## IGNORE_RDIFF_END > > stopifnot(vapply(rD.10.4, isDirected, NA), + vapply(rD.10.4, inherits, NA, what="graph")) > ## nice plot of all 8 : > op <- par(mfrow=c(4,2)) > invisible(lapply(names(rD.10.4), function(nm) plot(rD.10.4[[nm]], main=nm))) > par(op) > > > str(outs <- lapply(rD.10.4, leaves, "out")) List of 8 $ er : chr "3" $ regular : chr [1:2] "3" "8" $ watts : chr [1:2] "4" "5" $ bipartite: chr [1:3] "5" "7" "8" $ barabasi : chr [1:10] "1" "2" "3" "4" ... $ geometric: chr [1:3] "2" "6" "10" $ power : chr [1:4] "2" "4" "5" "10" $ interEr : chr [1:2] "5" "6" > if(packageVersion("igraph") < "2.0") ## currently fails + stopifnot(identical( outs, + list(er = "3", regular = c("1", "5", "6"), watts = c("3", "4", "6"), + bipartite = c("1", "2", "5"), barabasi = c("4", "8"), + geometric = c("4", "7"), power = c("4", "5", "9"), + interEr = c("3", "7")) + )) > > str(ins <- lapply(rD.10.4, leaves, "in")) List of 8 $ er : chr [1:3] "1" "4" "7" $ regular : chr [1:2] "1" "10" $ watts : chr [1:2] "7" "10" $ bipartite: chr "3" $ barabasi : chr [1:10] "1" "2" "3" "4" ... $ geometric: chr [1:4] "1" "3" "5" "10" $ power : chr [1:4] "1" "6" "7" "8" $ interEr : chr [1:3] "1" "3" "8" > if(packageVersion("igraph") < "2.0") ## currently fails + stopifnot(identical( ins, + list(er = c("1", "4", "7"), regular = c("3", "7", "10"), + watts = c("1", "8"), bipartite = c("4", "6"), + barabasi = c("6", "7"), geometric = c("5", "10"), + power = c("2", "7"), interEr = c("8", "10")) + )) > > set.seed(47) > (rD.12.2 <- rDAGall(12, 2)) $er A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 9 $regular A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 12 $watts A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 12 $bipartite A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 12 $barabasi A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 0 $geometric A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 12 $power A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 13 $interEr A graphNEL graph with directed edges Number of Nodes = 12 Number of Edges = 11 > if(packageVersion("igraph") < "2.0") ## currently fails + stopifnot(exprs = { + vapply(rD.12.2, isDirected, NA) + vapply(rD.12.2, numNodes, 1) == 12 + identical(vapply(rD.12.2, numEdges, 1), + setNames(c(9, 12, 12, 11, 11, 11, 13, 8), rDAGmeths)) + }) > > ##--------------------------------------------------------------------------- > > > ## Use the output here > require(Matrix) Loading required package: Matrix > lapply(rD.10.4, function(g) as(as(g, "Matrix"),"nMatrix")) $er 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . . . | | . 2 . . | . . . . . . . 3 . . . . . . . . . . 4 . | | . . . . | . | 5 . | | . . . . | . . 6 . | . . | . . . . . 7 . . . . | | . | | . 8 . | | . . . . . . . 9 . | | . . . . . . . 10 . . | . . . . . . . $regular 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . | . | . | . | . . 2 . . | . . | . . | . 3 . . . . . . . . . . 4 . . . . . . . | . . 5 . . . | . | | . . . 6 . . | . . . . . . . 7 . . | . . . . | | . 8 . . . . . . . . . . 9 . . . | . . . . . . 10 . . | . | . . | | . $watts 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . | . . . . . . 2 . . . | . . . . . . 3 . | . | | . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . . . . | . . . . . 7 | | . . | . . | | . 8 | | | . . . . . . . 9 | . . | . . . . . . 10 . | . . | | . | . . $bipartite 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . | . . . | . | 2 . . . . . . | . . | 3 | . . . . . . . | . 4 . | . . | | . . . . 5 . . . . . . . . . . 6 . . . . . . . | . . 7 . . . . . . . . . . 8 . . . . . . . . . . 9 . . . . . . | | . | 10 . . . . | . . . . . $barabasi 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . 2 . . . . . . . . . . 3 . . . . . . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . . . . . . . . . . 7 . . . . . . . . . . 8 . . . . . . . . . . 9 . . . . . . . . . . 10 . . . . . . . . . . $geometric 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . | . | . . 2 . . . . . . . . . . 3 . | . | . . . . . . 4 . | . . . . . . . . 5 . . . . . . . . | . 6 . . . . . . . . . . 7 . | . . . | . . . . 8 . . . . . | | . . . 9 . . . | . . | . . . 10 . . . . . . . . . . $power 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . | . | . . . | . 2 . . . . . . . . . . 3 . . . | . . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . | . . . . . . | . 7 . . . | . . . . | | 8 . . . | . . . . | . 9 . . | . . . . . . | 10 . . . . . . . . . . $interEr 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . | . . . . | 2 . . . . . | . . | . 3 . | . . . | | . | . 4 . . . . | . . . . . 5 . . . . . . . . . . 6 . . . . . . . . . . 7 . . . . . | . . . . 8 . . . | | | . . . | 9 . . . . . | . . . . 10 . . . . | . . . . . > lapply(rD.12.2, function(g) as(as(g, "Matrix"),"nMatrix")) $er 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . | . 2 . . . . . . . . . | . . 3 . . . . . . . . . | . . 4 . . . . . . | . . . . . 5 | . | | . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 . . . . . . . . . . . | 9 . . . . . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . | 12 . . . . . . . . . . . . $regular 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . | 2 . . . . . . . . . . . . 3 . | . | . . . . . . . . 4 . . . . . . . . . . . . 5 | . . . . . . . | . . . 6 . . . | . . . . . . . | 7 . . . . . . . . . . | . 8 . | . . . . . . . | . . 9 . . . . . . | . . . . . 10 . . . . . . . . . . | . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . $watts 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . | . . . | | . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . | 5 . . . . . . . . . | . . 6 . | | . . . . . . . . . 7 . . . . . . . | . . . . 8 . . . . . . . . . . . . 9 . | . . . . . . . . . . 10 . . | | . . . . . . . . 11 . . . . . | . . . . . . 12 . . . . . . . . . . . . $bipartite 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . | . . . | . . . 3 | . . . . . . . . | . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 | . . . . . . . . . . . 8 . . . . . . . . . | . . 9 | . . . . | . . . . . . 10 . . . . . . . . . . . . 11 . . | . . . . | . . . . 12 . . . . . . . . . | | . $barabasi 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 . . . . . . . . . . . . 9 . . . . . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . $geometric 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . | . . . . . . | . . 5 . . . . . . . . . . . . 6 . | . . . . . | . | . . 7 . . . . . . . . . . . . 8 . | . . | . . . . | . . 9 . . | | . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . | . . . . . | . . . $power 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 | | . | | . . . . . . | 9 . . | . . . . . . . . . 10 . | . . . . . | . . . . 11 . . . . . . . . | . . . 12 . | . . . | | . | . . . $interEr 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . | 2 | . . . . . . | . . . . 3 . . . . . . . . . . . | 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 | . . . . . . . . . . | 7 . . . . . . . . . . . . 8 | . . . . . . . . . . | 9 . . . | | . . . . . . . 10 | . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . > > ## Minimal checks on graphs generated via igraph > stopifnot( require("graph") ) > set.seed(37) > dagList <- vector(mode = "list", length = 6) > dagList[[1]] <- randDAG(10, 4, "regular") > dagList[[2]] <- randDAG(10, 4, "watts") > dagList[[3]] <- randDAG(10, 4, "er") > dagList[[4]] <- randDAG(10, 4, "bipartite") > dagList[[5]] <- randDAG(10, 4, "geometric") > dagList[[6]] <- randDAG(10, 4, "interEr", par2 = 0.5) > > ## number of nodes > stopifnot(all.equal( + sapply(dagList, numNodes), + rep(10,6) + )) > ## number of edges > stopifnot(all.equal( + sapply(dagList, numEdges), + c(20,20,16,15,10,18) + )) > > ## Use the output here -- FIXME: check more > require(Matrix) > lapply(rD.10.4, function(g) as(as(g, "Matrix"),"nMatrix")) $er 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . . . | | . 2 . . | . . . . . . . 3 . . . . . . . . . . 4 . | | . . . . | . | 5 . | | . . . . | . . 6 . | . . | . . . . . 7 . . . . | | . | | . 8 . | | . . . . . . . 9 . | | . . . . . . . 10 . . | . . . . . . . $regular 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . | . | . | . | . . 2 . . | . . | . . | . 3 . . . . . . . . . . 4 . . . . . . . | . . 5 . . . | . | | . . . 6 . . | . . . . . . . 7 . . | . . . . | | . 8 . . . . . . . . . . 9 . . . | . . . . . . 10 . . | . | . . | | . $watts 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . | . . . . . . 2 . . . | . . . . . . 3 . | . | | . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . . . . | . . . . . 7 | | . . | . . | | . 8 | | | . . . . . . . 9 | . . | . . . . . . 10 . | . . | | . | . . $bipartite 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . | . . . | . | 2 . . . . . . | . . | 3 | . . . . . . . | . 4 . | . . | | . . . . 5 . . . . . . . . . . 6 . . . . . . . | . . 7 . . . . . . . . . . 8 . . . . . . . . . . 9 . . . . . . | | . | 10 . . . . | . . . . . $barabasi 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . 2 . . . . . . . . . . 3 . . . . . . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . . . . . . . . . . 7 . . . . . . . . . . 8 . . . . . . . . . . 9 . . . . . . . . . . 10 . . . . . . . . . . $geometric 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . . | . | . . 2 . . . . . . . . . . 3 . | . | . . . . . . 4 . | . . . . . . . . 5 . . . . . . . . | . 6 . . . . . . . . . . 7 . | . . . | . . . . 8 . . . . . | | . . . 9 . . . | . . | . . . 10 . . . . . . . . . . $power 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . | . | . . . | . 2 . . . . . . . . . . 3 . . . | . . . . . . 4 . . . . . . . . . . 5 . . . . . . . . . . 6 . | . . . . . . | . 7 . . . | . . . . | | 8 . . . | . . . . | . 9 . . | . . . . . . | 10 . . . . . . . . . . $interEr 10 x 10 sparse Matrix of class "ngCMatrix" [[ suppressing 10 column names '1', '2', '3' ... ]] 1 . . . . | . . . . | 2 . . . . . | . . | . 3 . | . . . | | . | . 4 . . . . | . . . . . 5 . . . . . . . . . . 6 . . . . . . . . . . 7 . . . . . | . . . . 8 . . . | | | . . . | 9 . . . . . | . . . . 10 . . . . | . . . . . > lapply(rD.12.2, function(g) as(as(g, "Matrix"),"nMatrix")) $er 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . | . 2 . . . . . . . . . | . . 3 . . . . . . . . . | . . 4 . . . . . . | . . . . . 5 | . | | . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 . . . . . . . . . . . | 9 . . . . . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . | 12 . . . . . . . . . . . . $regular 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . | 2 . . . . . . . . . . . . 3 . | . | . . . . . . . . 4 . . . . . . . . . . . . 5 | . . . . . . . | . . . 6 . . . | . . . . . . . | 7 . . . . . . . . . . | . 8 . | . . . . . . . | . . 9 . . . . . . | . . . . . 10 . . . . . . . . . . | . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . $watts 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . | . . . | | . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . | 5 . . . . . . . . . | . . 6 . | | . . . . . . . . . 7 . . . . . . . | . . . . 8 . . . . . . . . . . . . 9 . | . . . . . . . . . . 10 . . | | . . . . . . . . 11 . . . . . | . . . . . . 12 . . . . . . . . . . . . $bipartite 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . | . . . | . . . 3 | . . . . . . . . | . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 | . . . . . . . . . . . 8 . . . . . . . . . | . . 9 | . . . . | . . . . . . 10 . . . . . . . . . . . . 11 . . | . . . . | . . . . 12 . . . . . . . . . | | . $barabasi 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 . . . . . . . . . . . . 9 . . . . . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . $geometric 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . | . . . . . . | . . 5 . . . . . . . . . . . . 6 . | . . . . . | . | . . 7 . . . . . . . . . . . . 8 . | . . | . . . . | . . 9 . . | | . . . . . . . . 10 . . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . | . . . . . | . . . $power 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . . 2 . . . . . . . . . . . . 3 . . . . . . . . . . . . 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 . . . . . . . . . . . . 7 . . . . . . . . . . . . 8 | | . | | . . . . . . | 9 . . | . . . . . . . . . 10 . | . . . . . | . . . . 11 . . . . . . . . | . . . 12 . | . . . | | . | . . . $interEr 12 x 12 sparse Matrix of class "ngCMatrix" [[ suppressing 12 column names '1', '2', '3' ... ]] 1 . . . . . . . . . . . | 2 | . . . . . . | . . . . 3 . . . . . . . . . . . | 4 . . . . . . . . . . . . 5 . . . . . . . . . . . . 6 | . . . . . . . . . . | 7 . . . . . . . . . . . . 8 | . . . . . . . . . . | 9 . . . | | . . . . . . . 10 | . . . . . . . . . . . 11 . . . . . . . . . . . . 12 . . . . . . . . . . . . > > ## check weights > set.seed(123) > n <- 100 > g <- randDAG(n=n,d=3, wFUN=list(runif,min=0,max=1)) > m <- wgtMatrix(g) > stopifnot(sum(m != 0) == 137) > v <- as.numeric(m) > v <- v[v!=0] > ## dput(as.vector(summary(v, digits=7))) > stopifnot(all.equal(as.vector(summary(v, digits=7)), + c(0.008103577, 0.2589966, 0.5287397, + 0.5232445, 0.8159941, 0.9915566))) > ct <- cut(x=v, breaks=seq(0,1,by=0.1)) > stopifnot(all.equal(chisq.test(as.numeric(table(ct)), p = rep(0.1,10))$p.value, + 0.3101796548)) > > ## check generation of negative weights (fixed Bug) > set.seed(123) ; tmp1 <- randDAG(3,2, wFUN = list(runif, min = 2, max = 2)) > set.seed(123) ; tmp2 <- randDAG(3,2, wFUN = list(runif, min = -2, max = -2)) > stopifnot(unlist(tmp1@edgeData@data) == 2, + unlist(tmp2@edgeData@data) == -2 ) > > proc.time() user system elapsed 3.39 0.42 3.79