R Under development (unstable) (2024-06-26 r86840 ucrt) -- "Unsuffered Consequences"
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> #
> # fields  is a package for analysis of spatial data written for
> # the R software environment.
> # Copyright (C) 2022 Colorado School of Mines
> # 1500 Illinois St., Golden, CO 80401
> # Contact: Douglas Nychka,  douglasnychka@gmail.edu,
> #
> # This program is free software; you can redistribute it and/or modify
> # it under the terms of the GNU General Public License as published by
> # the Free Software Foundation; either version 2 of the License, or
> # (at your option) any later version.
> # This program is distributed in the hope that it will be useful,
> # but WITHOUT ANY WARRANTY; without even the implied warranty of
> # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
> # GNU General Public License for more details.
> #
> # You should have received a copy of the GNU General Public License
> # along with the R software environment if not, write to the Free Software
> # Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
> # or see http://www.r-project.org/Licenses/GPL-2
> ##END HEADER
> ##END HEADER
> 
> 
> suppressMessages(library(fields))
> #
> #
> #
> 
> options( echo=FALSE)
Warning: 
Grid searches over lambda (nugget and sill variances) with  minima at the endpoints: 
  (REML) Restricted maximum likelihood 
   minimum at  right endpoint  lambda  =  0.2767992 (eff. df= 9.499985 )
Testing:   predict sanity check
PASSED test at tolerance  3e-08
Testing:  predict using direct linear algebra
PASSED test at tolerance  1e-08
Testing:  GCV
PASSED test at tolerance  1e-08
Testing:  GCV one
PASSED test at tolerance  1e-08
Testing:  GCV model
PASSED test at tolerance  1e-08
Testing:  Tps/gcv for ozone2
PASSED test at tolerance  5e-04
Testing:  Tps/gcv for ozone2 new data
PASSED test at tolerance  1e-06
done with GCV and REML tests
> 
> proc.time()
   user  system elapsed 
   0.65    0.09    0.73