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# file spatial/pp.q copyright (C) 1994-9 W. N. Venables and B. D. Ripley
#
ppinit <- function(file)
{
tfile <- file
t1file <- system.file("ppdata", file, package="spatial")
if(nchar(t1file) > 0) tfile <- t1file
h <- scan(tfile, list(xl = 0, xu = 0, yl = 0, yu = 0, fac = 0),
n = 5, skip = 2, quiet = TRUE)
pp <- scan(tfile, list(x = 0, y = 0), skip = 3, quiet = TRUE)
pp$x <- pp$x/h$fac
pp$y <- pp$y/h$fac
pp$area <- c(xl=h$xl/h$fac, xu=h$xu/h$fac, yl=h$yl/h$fac, yu=h$yu/h$fac)
ppregion(pp)
invisible(pp)
}
Kfn <- function(pp, fs, k = 100)
{
zz <- (c(range(pp$x), range(pp$y)) - ppgetregion())*c(1,-1,1,-1)
if(any(zz < 0)) stop("some points outside region")
z <- .C("VR_sp_pp2",
as.double(pp$x),
as.double(pp$y),
as.integer(length(pp$x)),
k1 = as.integer(k),
h = double(k),
dmin = double(1),
lm = double(1),
as.double(fs),
PACKAGE = "spatial")
list(y = z$h[1:z$k1], x = (seq(1:z$k1) * fs)/k, k = k,
dmin = z$dmin, lm = max(z$dmin, z$lm),
call=match.call())
}
Kenvl <- function(fs, nsim, ...)
{
dot.expression <- as.expression(substitute(...))
h <- Kfn(pp = eval(dot.expression), fs)
hx <- h$x
hu <- h$y
hl <- h$y
ha <- h$y^2
for(i in 2:nsim) {
h <- Kfn(pp = eval(dot.expression), fs)$y
hu <- pmax(hu, h)
hl <- pmin(hl, h)
ha <- ha + h^2
}
list(x = hx, lower = hl, upper = hu, aver = sqrt(ha/nsim),
call=match.call())
}
Kaver <- function(fs, nsim, ...)
{
dot.expression <- as.expression(substitute(...))
h <- Kfn(pp = eval(dot.expression), fs)
hx <- h$x
ha <- h$y^2
for(i in 2:nsim) {
h <- Kfn(pp = eval(dot.expression), fs)$y
ha <- ha + h^2
}
list(x = hx, y = sqrt(ha/nsim), call=match.call())
}
ppregion <- function(xl = 0, xu = 1, yl = 0, yu = 1)
{
if(is.null(xl)) stop("invalid input")
if(is.numeric(xl))
if(length(xl) != 1 || length(xu) != 1 ||
length(yl) != 1 || length(yu) != 1)
stop("invalid input")
if(is.list(xl)) {
if(is.null(xl$area) &&
any(is.na(match( c("xl", "xu", "yl", "yu"), names(xl)))))
stop("invalid input")
}
if(is.list(xl)) {
if(length(xl$area)) .C("VR_ppset", as.double(xl$area),
PACKAGE = "spatial")
else .C("VR_ppset", as.double(c(xl$xl, xl$xu, xl$yl, xl$yu)),
PACKAGE = "spatial")
} else .C("VR_ppset", as.double(c(xl, xu, yl, yu)),
PACKAGE = "spatial")
invisible()
}
ppgetregion <- function()
{
xx <- .C("VR_ppget", z=double(4), PACKAGE = "spatial")$z
names(xx) <- c("xl", "xu", "yl", "yu")
xx
}
Psim <- function(n)
{
z <- .C("VR_pdata",
as.integer(n),
x = double(n),
y = double(n),
PACKAGE = "spatial")
invisible(list(x = z$x, y = z$y, call=match.call()))
}
Strauss <- function(n, c = 0, r)
{
init <- 0
if(!exists(".ppx")) {
init <- 1
z <- .C("VR_pdata",
as.integer(n),
x = double(n),
y = double(n),
PACKAGE = "spatial")
assign(".ppx", z$x)
assign(".ppy", z$y)
}
z <- .C("VR_simpat",
as.integer(n),
x = as.double(.ppx),
y = as.double(.ppy),
as.double(c),
as.double(r),
as.integer(init),
PACKAGE = "spatial")
assign(".ppx", z$x)
assign(".ppy", z$y)
invisible(list(x = z$x, y = z$y, call=match.call()))
}
SSI <- function(n, r)
{
z <- .C("VR_simmat",
as.integer(n),
x = double(n),
y = double(n),
as.double(r),
PACKAGE = "spatial")
invisible(list(x = z$x, y = z$y, call=match.call()))
}
pplik <- function(pp, R, ng=50, trace=FALSE)
{
pplikfn <- function(cc, R, n, x, y, ng, target, trace=FALSE)
{
z <- .C("VR_plike",
as.double(x),
as.double(y),
as.integer(n),
as.double(cc),
as.double(R),
as.integer(ng),
as.double(target),
res=double(1),
PACKAGE = "spatial"
)
if(trace) print(c(cc, z$res))
z$res
}
n <- length(pp$x)
ar <- pp$area
target <- n * (Kfn(pp, R,1)$y)^2 * pi /
((ar["xu"] - ar["xl"]) * (ar["yu"] - ar["yl"]))
if(target == 0) return(0)
tmp <- pplikfn(1, R, n, pp$x, pp$y, ng, target, FALSE)
if(tmp <= 0) return(1)
stats::uniroot(pplikfn, c(0,1),
R=R, n=n, x=pp$x, y=pp$y, ng=ng, target=target,
trace=trace)$root
}
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