# # # strausshard.S # # $Revision: 2.20 $ $Date: 2014/10/24 00:22:30 $ # # The Strauss/hard core process # # StraussHard() create an instance of the Strauss-hardcore process # [an object of class 'interact'] # # # ------------------------------------------------------------------- # StraussHard <- local({ BlankStraussHard <- list( name = "Strauss - hard core process", creator = "StraussHard", family = "pairwise.family", # evaluated later pot = function(d, par) { v <- 1 * (d <= par$r) v[ d <= par$hc ] <- (-Inf) v }, par = list(r = NULL, hc = NULL), # filled in later parnames = c("interaction distance", "hard core distance"), selfstart = function(X, self) { # self starter for StraussHard nX <- npoints(X) if(nX < 2) { # not enough points to make any decisions return(self) } r <- self$par$r md <- minnndist(X) if(md == 0) { warning(paste("Pattern contains duplicated points:", "hard core must be zero")) return(StraussHard(r=r, hc=0)) } if(!is.na(hc <- self$par$hc)) { # value fixed by user or previous invocation # check it if(md < hc) warning(paste("Hard core distance is too large;", "some data points will have zero probability")) return(self) } # take hc = minimum interpoint distance * n/(n+1) hcX <- md * nX/(nX+1) StraussHard(r=r, hc = hcX) }, init = function(self) { r <- self$par$r hc <- self$par$hc if(length(hc) != 1) stop("hard core distance must be a single value") if(!is.na(hc)) { if(!is.numeric(hc) || hc <= 0) stop("hard core distance hc must be a positive number, or NA") if(!is.numeric(r) || length(r) != 1 || r <= hc) stop("interaction distance r must be a number greater than hc") } }, update = NULL, # default OK print = NULL, # default OK interpret = function(coeffs, self) { loggamma <- as.numeric(coeffs[1]) gamma <- exp(loggamma) return(list(param=list(gamma=gamma), inames="interaction parameter gamma", printable=dround(gamma))) }, valid = function(coeffs, self) { loggamma <- as.numeric(coeffs[1]) return(is.finite(loggamma)) }, project = function(coeffs, self) { loggamma <- as.numeric(coeffs[1]) if(is.finite(loggamma)) return(NULL) hc <- self$par$hc if(hc > 0) return(Hardcore(hc)) else return(Poisson()) }, irange = function(self, coeffs=NA, epsilon=0, ...) { r <- self$par$r hc <- self$par$hc if(any(is.na(coeffs))) return(r) loggamma <- coeffs[1] if(abs(loggamma) <= epsilon) return(hc) else return(r) }, version=NULL, # evaluated later # fast evaluation is available for the border correction only can.do.fast=function(X,correction,par) { return(all(correction %in% c("border", "none"))) }, fasteval=function(X,U,EqualPairs,pairpot,potpars,correction, ...) { # fast evaluator for StraussHard interaction if(!all(correction %in% c("border", "none"))) return(NULL) if(spatstat.options("fasteval") == "test") message("Using fast eval for StraussHard") r <- potpars$r hc <- potpars$hc hclose <- strausscounts(U, X, hc, EqualPairs) rclose <- strausscounts(U, X, r, EqualPairs) answer <- ifelseXB(hclose == 0, rclose, -Inf) return(matrix(answer, ncol=1)) }, Mayer=function(coeffs, self) { # second Mayer cluster integral gamma <- exp(as.numeric(coeffs[1])) r <- self$par$r hc <- self$par$hc return(pi * (hc^2 + (1-gamma) * (r^2 - hc^2))) } ) class(BlankStraussHard) <- "interact" StraussHard <- function(r, hc=NA) { instantiate.interact(BlankStraussHard, list(r=r, hc=hc)) } StraussHard <- intermaker(StraussHard, BlankStraussHard) StraussHard })