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#' STOPS version of sparsified POST-MDS for fixed tau
#'
#' Sparsified power stress with free kappa, lambda, rho and tau.
#'
#' @param dis numeric matrix or dist object of a matrix of proximities
#' @param theta the theta vector of explicit parameters; the first is kappa (for the fitted distances), the second lambda (for the observed proximities), the third nu (for the weights), the fourth tau (for the neighbourhood). If a scalar or vector shorter than 4 is given it is recycled. Defaults to 1 1 1 100.
#' @param type MDS type.
#' @param weightmat (optional) a matrix of nonnegative weights
#' @param init (optional) initial configuration
#' @param ndim number of dimensions of the target space
#' @param itmaxi number of iterations
#' @param ... additional arguments to be passed to the fitting procedure
#' @param stressweight weight to be used for the fit measure; defaults to 1
#' @param structures a character vector listing the structure indices to use. They always are called "cfoo" with foo being the structure.
#' @param strucweight weight to be used for the structures; defaults to 1/number of structures
#' @param strucpars a list of parameters for the structuredness indices; each list element corresponds to one index in the order of the appearance in structures
#' @param verbose numeric value hat prints information on the fitting process; >2 is extremely verbose
#' @param stoptype which weighting to be used in the multi-objective optimization? Either 'additive' (default) or 'multiplicative'.
#'
#' @return A list with the components
#' \itemize{
#' \item stress: the stress-1 value
#' \item stress.m: default normalized stress
#' \item stoploss: the weighted loss value
#' \item struc: the structuredness indices
#' \item parameters: the parameters used for fitting (kappa, lambda, nu, tau)
#' \item fit: the returned object of the fitting procedure
#' \item{stopobj:} the stopobj object
#' }
#' @keywords multivariate
#' @export
stop_spmds <- function(dis,theta=c(1,1,1,100),type="ratio",weightmat=1-diag(nrow(dis)),init=NULL,ndim=2,itmaxi=10000,...,stressweight=1,structures=c("cclusteredness","clinearity","cdependence","cmanifoldness","cassociation","cnonmonotonicity","cfunctionality","ccomplexity","cfaithfulness","cregularity","chierarchy","cconvexity","cstriatedness","coutlying","cskinniness","csparsity","cstringiness","cclumpiness","cinequality"), strucweight=rep(1/length(structures),length(structures)),strucpars,verbose=0,stoptype=c("additive","multiplicative")) {
theta <- as.numeric(theta)
if(inherits(dis,"dist")) dis <- as.matrix(dis)
if(missing(stoptype)) stoptype <- "additive"
if(length(theta)>4) stop("There are too many parameters in the theta argument.")
if(length(theta)<4) theta <- rep(theta,length.out=4)
#if(is.null(weightmat)) weightmat <- 1-diag(nrow(dis))
wght <- weightmat
#diag(wght) <- 1
kappa <- theta[1]
lambda <- theta[2]
nu <- theta[3]
tau <- theta[4]
fit <- smacofx::spmds(delta=dis,kappa=kappa,lambda=lambda,nu=nu,tau=tau,type=type,weightmat=wght,init=init,ndim=ndim,verbose=verbose,itmax=itmaxi,...)
ncall <- do.call(substitute,list(fit$call,list(kappa=kappa,lambda=lambda,nu=nu,tau=tau,type=type,init=init,ndim=ndim,verbose=verbose,itmax=itmaxi)))
fit$call <- ncall
fit$kappa <- kappa
fit$lambda <- lambda
fit$nu <- nu
fit$tau <- tau
#fit$parameters <- fit$theta <- fit$pars <- c(kappa=fit$kappa,lambda=fit$lambda,nu=fit$nu,)
stopobj <- stoploss(fit,stressweight=stressweight,structures=structures,strucweight=strucweight,strucpars=strucpars,verbose=isTRUE(verbose>1),stoptype=stoptype)
out <- list(stress=fit$stress, stress.m=fit$stress.m, stoploss=stopobj$stoploss, strucindices=stopobj$strucindices, parameters=stopobj$parameters, fit=fit, stopobj=stopobj)
out
}
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