R Under development (unstable) (2019-04-06 r76327) -- "Unsuffered Consequences"
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>  # fields is a package for analysis of spatial data written for
>   # the R software environment .
>   # Copyright (C) 2018
>   # University Corporation for Atmospheric Research (UCAR)
>   # Contact: Douglas Nychka, nychka@ucar.edu,
>   # National Center for Atmospheric Research,
>   # PO Box 3000, Boulder, CO 80307-3000
>   #
>   # 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.
> 
> 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  =  0.003053154 (eff. df= 14.25 )
Testing:   d coef diag W fixed lam
PASSED test at tolerance  1e-08
Testing:   d coef diag W
PASSED test at tolerance  1e-08
Testing:  c coef diag W fixed lam
PASSED test at tolerance  1e-08
Testing:  c coef  diag W 
PASSED test at tolerance  1e-08
Warning: 
Grid searches over lambda (nugget and sill variances) with  minima at the endpoints: 
  (REML) Restricted maximum likelihood 
   minimum at  right endpoint  lambda  =  0.002794267 (eff. df= 14.24999 )
Testing:   sqrt of W
PASSED test at tolerance  1e-08
Warning: 
Grid searches over lambda (nugget and sill variances) with  minima at the endpoints: 
  (REML) Restricted maximum likelihood 
   minimum at  right endpoint  lambda  =  0.002794267 (eff. df= 14.24999 )
Testing:   Test of passing W explicitly
PASSED test at tolerance  1e-08
Testing:   d coef full W
PASSED test at tolerance  1e-08
Testing:  c coef full W
PASSED test at tolerance  1e-08
Testing:  A matrix
PASSED test at tolerance  1e-08
Testing:   check trace of A
PASSED test at tolerance  1e-08
Testing:  GCV one
PASSED test at tolerance  5e-08
all done  testing off diag W case
> 
> proc.time()
   user  system elapsed 
  0.535   0.049   0.572