# Fast Allele in Common Count

### Description

The purpose of this function is to compute as fast as possible the number of allele in common between a target (typically the genetic profile observed at a crime scene, possibly a mixture with dropouts) and a database reference (typically genetic profile of individuals). Both are assumed to be pre-encoded at the bit level in a consistent way.

### Usage

1 | ```
fastacc(target, database)
``` |

### Arguments

`target` |
the |

`database` |
the |

### Details

This function is an RFC state. Comments are welcome.

Genetic profiles are encoded at the bit level. One bit represents one allele.
Count is based on a logical AND at bit level. Bit count is encoded at C level
using the precomputed approach: one indirection with an auxiliary table
of size 256 called `bits_in_char`

which is pre-computed at R level and
passed at C level.

### Value

A vector of `integer`

giving for each entry in the database how many
alleles are in common between the entry and the target.

### Warning

Experimental, first release schedulded for seqinr 2.0-6 by the end of 2009

### Author(s)

J.R. Lobry

### References

`citation("seqinr")`

### See Also

FIXME

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 | ```
#
# NOTE:
#
# This example section is a proof-of-concept stuff. Most code should be
# enbeded in documented functions to avoid verbosity. But at the RFC stage
# this is perhaps not a too bad idea to show how powerfull R is.
#
#
# Let's start from the 16 loci available in the AmpFLSTR kit:
#
path <- system.file("abif/AmpFLSTR_Bins_v1.txt", package = "seqinr")
resbin <- readBins(path)
codis <- resbin[["Identifiler_CODIS_v1"]]
names(codis)
#
# We count how many different alleles are present per locus:
#
na <- unlist(lapply(codis, function(x) length(x[[1]])))
na
#
# The number of octets required to encode a genetic for each locus is then:
#
ceiling(na/8)
#
# We need then a total of 40 octets to code these profiles:
#
sum(ceiling(na/8))
#
# Let's definene a function to encode a profile at a given locus, and vice versa :
#
prof2raw <- function(profile, alleles) {
if (!is.ordered(alleles)) stop("ordered factor expected for alleles")
if (!is.character(profile)) stop("vector of character expected for profile")
noctets <- ceiling(length(alleles)/8)
res.b <- rawToBits(raw(noctets))
for (i in 1:length(profile)) {
res.b[which(profile[i] == alleles)] <- as.raw(1)
}
return(packBits(res.b, type = "raw"))
}
raw2prof <- function(rawdata, alleles) {
if (!is.ordered(alleles)) stop("ordered factor expected for alleles")
if (!is.raw(rawdata)) stop("vector of raw expected for rawdata")
res <- as.character(alleles)[as.logical(rawToBits(rawdata))]
return(paste(res, collapse = ", "))
}
#
# Let now code all alleles present in codis as ordered factors:
#
allalleles <- lapply(codis, function(x) factor(x[, 1], levels = x[, 1], ordered = TRUE))
#
# Let's play with our encoding/decoding utilities with first locus:
#
allalleles[[1]] # <8 8 9 10 11 12 13 14 15 16 17 18 19 >19
res <- prof2raw(c("8", "9", "13", "14", ">19"), allalleles[[1]])
res # c6 20
rawToBits(res) # 00 01 01 00 00 00 01 01 00 00 00 00 00 01 00 00
raw2prof(res, allalleles[[1]]) # "8, 9, 13, 14, >19"
#
# Let define a profile with all possible alleles:
#
ladder <- unlist(lapply(allalleles, function(x) prof2raw(as.character(x),x)))
names(ladder) <- NULL
stopifnot(identical(as.integer(ladder),
c(255L, 63L, 255L, 255L, 255L, 63L, 255L, 63L, 255L, 31L, 255L,
63L, 255L, 255L, 7L, 255L, 3L, 255L, 63L, 255L, 255L, 255L, 255L,
15L, 255L, 127L, 255L, 3L, 255L, 255L, 255L, 255L, 3L, 3L, 255L,
15L, 255L, 255L, 255L, 7L))) # simple sanity check
#
# Let's make a simulated database. Here we use a random sampling
# with a uniform distribution between all possible profile possible
# at a given locus. A more realist sampling for an individual database
# would be to sample only two alleles at each locus according to
# observed frequencies in populations.
#
n <- 10^5 # the number of records in the database
DB <- sapply(ladder, function(x) as.raw(sample(0:as.integer(x), size = n, replace = TRUE)))
#
# Now we make sure that the target is in the database:
#
target <- DB[666, ]
DB <- as.vector(t(DB)) # put DB as a flat database (is it usefull?)
#
# Now we compute the number of alleles in common between the
# target and all the entries in the DB:
#
system.time(res <- fastacc(target,DB)) # Fast, isn't it ?
stopifnot(which.max(res) == 666) # sanity check
#
# Don't run : too tedious for routine check. We check here that complexity is
# linear in time up to a 10 10^6 database size (roughly the size of individual
# profiles at the EU level)
#
## Not run:
maxn <- 10^7
DB <- sapply(ladder, function(x) as.raw(sample(0:as.integer(x),
size = maxn, replace = T)))
target <- DB[666, ]
DB <- as.vector(t(DB))
np <- 10
nseq <- seq(from = 10^5, to = maxn, length = np)
res <- numeric(np)
i <- 1
for (n in nseq) {
print(i)
res[i] <- system.time(tmp <- fastacc(target, DB[1:n]))[1]
stopifnot(which.max(tmp) == 666)
i <- i + 1
}
dbse <- data.frame(list(nseq = nseq, res = res))
x <- dbse$nseq
y <- dbse$res
plot(x, y, type = "b", xlab = "Number of entries in DB", ylab = "One query time [s]",
las = 1, xlim = c(0, maxn), ylim = c(0, max(y)), main = "Data base size effect on query time")
lm1 <- lm(y ~ x - 1)
abline(lm1, col = "red")
legend("topleft", inset = 0.01, legend = paste("y =", formatC(lm1$coef[1],
digits = 3), "x"), col = "red", lty = 1)
#
# On my laptop the slope is 2.51e-08, that is a 1/4 of second to scan a database
# with 10 10^6 entries.
#
## End(Not run)
## end
``` |

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