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Type 'q()' to quit R. > library(bitops) > > i7 <- 0:127 > ri7 <- bitFlip(i7) > stopifnot(identical(bitAnd(i7,ri7), rep(0,length(i7))), + ri7+i7 == 2^32-1, + ## flipping the bits twice should be the identity (modulo overflow): + identical(i7, as.integer(bitFlip(ri7))), + bitAnd(i7, ri7) == 0, + ## + bitAnd(15,17) == 1, + bitOr (15,17) == 31, + bitXor(15,17) == 30 + ) > > IMAX <- 2^31-1 > set.seed(1959) > system.time( for(N in 1:5000) { + if(N %% 20 == 0) + i7 <- sample.int(IMAX, size=128) + j7 <- sample(i7) + stopifnot(exprs = { + ## Commutative Law: + identical(bitOr (i7, j7), bitOr (j7, i7)) + identical(bitAnd(i7, j7), bitAnd(j7, i7)) + identical(bitXor(i7, j7), bitXor(j7, i7)) + ## Xor "+" And == Or : + identical(bitOr(i7, j7), + bitOr(bitXor(i7,j7), bitAnd(i7,j7))) + ## Logic: !(A & B) <-> (!A) | (!B) + identical(bitFlip(bitAnd(i7, j7)), + bitOr(bitFlip(i7), bitFlip(j7))) + ## !(A | B) <-> (!A) & (!B) + identical(bitFlip(bitOr(i7, j7)), + bitAnd(bitFlip(i7), bitFlip(j7))) + ## + ## Associative Law: + length(k7 <- sample(j7)) == length(j7) + identical(bitOr(bitOr(i7, j7), k7), + bitOr(i7, bitOr(j7, k7))) + identical(bitAnd(bitAnd(i7, j7), k7), + bitAnd(i7, bitAnd(j7, k7))) + identical(bitXor(bitXor(i7, j7), k7), + bitXor(i7, bitXor(j7, k7))) + }) + } ) # ..time user system elapsed 1.44 0.25 1.69 > > ### Verify cksum() ------------------------------- > > CHR <- " !#$%&()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[]^_`abcdefghijklmnopqrstuvwxyz{|}~" > rotCh <- vapply(seq_len(nchar(CHR)), function(i) + paste0(substring(CHR, i), substr(CHR, 1,i-1L), collapse = ""), "") > cSums <- + c(2442416856, 1669542993, 313999433, 178729808, 3394733963, 2164389741, + 3871734349, 3789449038, 40636212, 1452746146, 541480198, + 2979936832, 2923782422, 792265197, 3640409291, 1202696403, + 4011398543, 2699207183, 2985612474, 1439186030, 1508213684, + 1865388774, 2380454843, 454855490, 1019166481, 924244674, + 1406204380, 2429078660, 1046223291, 1230078089, 1548993556, + 280855472, 421066716, 2967223269, 1100914587, 886676022, + 1657109189, 843923270, 620178494, 1609552402, 1787171819, + 4006198310, 1023859819, 1411671880, 513493423, 2495633464, + 1866449535, 4291277827, 3301230818, 381214501, 2497598429, + 675736398, 3735311659, 2170409126, 3731386467, 1015853879, + 4060922207, 1023658490, 2980477601, 350747207, 2650042644, + 600967562, 4254175774, 1970787970, 4065204194, 1521286262, + 3589949651, 879070207, 1152896007, 2418807455, 2666637124, + 2577590065, 4208759298, 3274144307, 1957580223, 3095930811, + 3625810032, 126832280, 1912362968, 515865842, 3876027886, + 304043927, 785523686, 3840974701, 2587165204, 1710947718, + 2356035548, 430213333, 3484582166, 885948210, 1348073033, + 2652440189) > > stopifnot(identical(cksum(rotCh), cSums)) > > ## verify bit shifts: > stopifnot( + identical(2^(0:31), bitShiftL(1, 0:31)), + identical(2^(31:0), bitShiftR(2^31,0:31)) + ) > > # test boundary value behavior: +/- Inf, NA, NaN, 2^32: > > a <- round(runif(500)*2^33) > b <- which(a < 4294967296) > ## > stopifnot(exprs = { + is.na(bitAnd(a,a)[-b]) + identical(bitAnd(a,a)[b], a[b]) + is.na(bitOr(a,a)[-b]) + identical(bitOr(a,a)[b], a[b]) + is.na(bitXor(a,0)[-b]) + identical(bitXor(a,0)[b], a[b]) + is.na(bitXor(0,a)[-b]) + identical(bitXor(0,a)[b], a[b]) + is.na(bitFlip(bitFlip(a))[-b]) + identical(bitFlip(bitFlip(a))[b], bitAnd(a,2^32-1)[b]) + is.na(bitShiftR(a,runif(10)*32)[-b]) + is.na(bitShiftL(a,runif(10)*32)[-b]) + }) > > a[-b] <- 1/0 > stopifnot(exprs = { + is.na(bitAnd(a,a)[-b]) + identical(bitAnd(a,a)[b], a[b]) + is.na(bitOr(a,a)[-b]) + identical(bitOr(a,a)[b], a[b]) + is.na(bitXor(a,0)[-b]) + identical(bitXor(a,0)[b], a[b]) + is.na(bitXor(0,a)[-b]) + identical(bitXor(0,a)[b], a[b]) + is.na(bitFlip(bitFlip(a))[-b]) + identical(bitFlip(bitFlip(a))[b], bitAnd(a,2^32-1)[b]) + is.na(bitShiftR(a,runif(10)*32)[-b]) + is.na(bitShiftL(a,runif(10)*32)[-b]) + }) > > a[-b] <- -1/0 > stopifnot(exprs = { + is.na(bitAnd(a,a)[-b]) + identical(bitAnd(a,a)[b], a[b]) + is.na(bitOr(a,a)[-b]) + identical(bitOr(a,a)[b], a[b]) + is.na(bitXor(a,0)[-b]) + identical(bitXor(a,0)[b], a[b]) + is.na(bitXor(0,a)[-b]) + identical(bitXor(0,a)[b], a[b]) + is.na(bitFlip(bitFlip(a))[-b]) + identical(bitFlip(bitFlip(a))[b], bitAnd(a,2^32-1)[b]) + is.na(bitShiftR(a,runif(10)*32)[-b]) + is.na(bitShiftL(a,runif(10)*32)[-b]) + }) > > a[-b] <- suppressWarnings(sqrt(-1)) > stopifnot(exprs = { + is.na(bitAnd(a,a)[-b]) + identical(bitAnd(a,a)[b], a[b]) + is.na(bitOr(a,a)[-b]) + identical(bitOr(a,a)[b], a[b]) + is.na(bitXor(a,0)[-b]) + identical(bitXor(a,0)[b], a[b]) + is.na(bitXor(0,a)[-b]) + identical(bitXor(0,a)[b], a[b]) + is.na(bitFlip(bitFlip(a))[-b]) + identical(bitFlip(bitFlip(a))[b], bitAnd(a,2^32-1)[b]) + is.na(bitShiftR(a, runif(10)*32)[-b]) + is.na(bitShiftL(a, runif(10)*32)[-b]) + }) > > a[-b] <- NA > stopifnot(exprs = { + is.na(bitAnd(a,a)[-b]) + identical(bitAnd(a,a)[b], a[b]) + is.na(bitOr(a,a)[-b]) + identical(bitOr(a,a)[b], a[b]) + is.na(bitXor(a,0)[-b]) + identical(bitXor(a,0)[b], a[b]) + is.na(bitXor(0,a)[-b]) + identical(bitXor(0,a)[b], a[b]) + is.na(bitFlip(bitFlip(a))[-b]) + identical(bitFlip(bitFlip(a))[b], bitAnd(a,2^32-1)[b]) + is.na(bitShiftR(a, runif(10)*32)[-b]) + is.na(bitShiftL(a, runif(10)*32)[-b]) + }) > > proc.time() user system elapsed 1.64 0.35 1.96