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.
> 
> 
> 
> # tests of predictSE
> # against direct linear algebra 
> 
> suppressMessages(library(fields))
> options( echo=FALSE)
Testing:  Amatrix vs. predict
PASSED test at tolerance  1e-08
Testing:  Marginal predictSE
PASSED test at tolerance  1e-08
Testing:  comparing Omega
PASSED test at tolerance  1e-08
PASSED test at tolerance  1e-08
PASSED test at tolerance  1e-08
Testing:  test of formula with explicit d and c
PASSED test at tolerance  1e-08
Testing:  Krig function and direct formula
PASSED test at tolerance  1e-08
Testing:  new predict formula and direct formula
PASSED test at tolerance  1e-08
Testing:  New se _function_ and old Krig _function_
PASSED test at tolerance  1e-08
Testing:  Benchmark of formula
PASSED test at tolerance  1e-08
Testing:  Benchmark of formula mKrig coefs
PASSED test at tolerance  1e-08
Testing:  test function with several locations Krig mKrig functions
PASSED test at tolerance  1e-08
> proc.time()
   user  system elapsed 
  0.530   0.047   0.565