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R : Copyright 1998, The R Development Core TeamVersion 0.63.0 Unstable (June 23, 1998)R is free software and comes with ABSOLUTELY NO WARRANTY.You are welcome to redistribute it under certain conditions.Type "?license" or "?licence" for distribution details.R is a collaborative project with many contributors.Type "?contributors" for a list.Type "demo()" for some demos, "help()" for on-line help, or"help.start()" for a HTML browser interface to help.> ###---- ALL tests here should return TRUE !> ###> ### '##P': This lines give not 'T' but relevant ``Print output''> ###>> Meps <- .Machine $ double.eps> abs(1- .Machine$double.xmax * 10^(-.Machine$double.max.exp*log10(2)))/Meps < 1e3[1] TRUE> abs(1- .Machine$double.xmin * 10^(-.Machine$double.min.exp*log10(2)))/Meps < 1e3[1] TRUE> ##P (1- .Machine$double.xmax * 10^(-.Machine$double.max.exp*log10(2)))/Meps> ##P (1- .Machine$double.xmin * 10^(-.Machine$double.min.exp*log10(2)))/Meps> log10(.Machine$double.xmax) / log10(2) == .Machine$double.max.exp[1] TRUE> log10(.Machine$double.xmin) / log10(2) == .Machine$double.min.exp[1] TRUE>>> abs(Im(cos(acos(1i))) - 1) < 2*Meps[1] TRUE> abs(Im(sin(asin(1i))) - 1) < 2*Meps[1] TRUE> abs(Im(acos(cos(1i))) - 1) < 4*Meps[1] FALSE> abs(Im(asin(sin(1i))) - 1) < 2*Meps[1] TRUE> ##P (1 - Im(sin(asin(Ii))))/Meps> ##P (1 - Im(cos(acos(Ii))))/Meps>> .Random.seed <- c(0, 629, 6137, 22167) # want reproducible output> Isi <- Im(sin(asin(1i + rnorm(100))))> all(abs(Isi-1) < 100* Meps)[1] TRUE> ##P table(2*abs(Isi-1) / Meps)> Isi <- Im(cos(acos(1i + rnorm(100))))> all(abs(Isi-1) < 100* Meps)[1] TRUE> ##P table(2*abs(Isi-1) / Meps)> Isi <- Im(atan(tan(1i + rnorm(100)))) #-- tan(atan(..)) does NOT work (Math!)> all(abs(Isi-1) < 100* Meps)[1] TRUE> ##P table(2*abs(Isi-1) / Meps)>> all(names(c(a=pi, b=1, d=1:4)) == c("a","b", paste("d", 1:4, sep="")))[1] TRUE> ##P names(c(a=pi, b=1, d=1:4))> ncb <- dimnames(cbind(a=1, yy=1:3))[[2]]> (!is.null(ncb)) && all(ncb == c("a","yy"))[1] TRUE>> all(cbind(a=1:2, b=1:3, c=1:6) == t(rbind(a=1:2, b=1:3, c=1:6)))[1] TRUE> ##P rbind(a=1:2, b=1:3, c=1:6)>>