# Copyright (c) 2012 Michel Crucifix <michel.crucifix@uclouvain.be>
# Permission is hereby granted, free of charge, to any person obtaining
# a copy of this software and associated documentation files (the
# "Software"), to deal in the Software without restriction, including
# without limitation the rights to use, copy, modify, merge, publish,
# distribute, sublicense, and/or sell copies of the Software, and to
# permit persons to whom the Software is furnished to do so, subject
# the following conditions:
# The above copyright notice and this permission notice shall be
# incluudedin all copies or substantial portions of the Software.
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND INFRINGEMENT
# IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR
# CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
# TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
# SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
# ------------------------------------------------------------------
# R Code developed for R version 2.15.2 (2012-10-26) -- "Trick or Treat"
# ------------------------------------------------------------------
basin = function(model, par, tback, t0 , Astro, tol=0.1,initgrid=NULL, ...)
{
if (is.null(initgrid)) initgrid <- model$initgrid
init <- as.matrix(expand.grid(initgrid))
N <- nrow(init)
par = t(matrix(rep(par,N), ncol=N, nrow=length(par)))
state = propagate_1step_D(model, N, init, par, tback, t0, Astro=Astro,...)$state
clusters = cluster(state, tol=tol)
NCL = clusters$nck
# returns output
list(state_out=state, clusters=clusters$kernel, belong=
c(initgrid, list(z=matrix(clusters$belong, sapply(initgrid, length)))),
nc=clusters$nc, nck=clusters$nck)
}
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