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))
> #
> #
> #  test of fixed lambda case
> #  Check against linear algebra
> #
> 
> options( echo=FALSE)
Testing:   d coef
PASSED test at tolerance  1e-08
Testing:  c coef
PASSED test at tolerance  1e-08
Testing:  predict for null fixed
PASSED test at tolerance  1e-08
Testing:  predict for null spatial
PASSED test at tolerance  1e-08
Testing:  predict for null drift
PASSED test at tolerance  1e-08
Testing:  predict for null fixed
PASSED test at tolerance  1e-08
Testing:  predict for null spatial
PASSED test at tolerance  1e-08
Testing:  predict for null drift 
PASSED test at tolerance  1e-08
Testing:   knots/weights fixed/default d coef
PASSED test at tolerance  1e-08
Testing:  knots/weights fixed/default c coef
PASSED test at tolerance  1e-08
Testing:   knots d coef
PASSED test at tolerance  1e-08
Testing:  knots c coef
PASSED test at tolerance  1e-08
Testing:  knots predict for null
PASSED test at tolerance  1e-08
Testing:  knots predict for null
PASSED test at tolerance  1e-08
Testing:  knots predict w/o Z
PASSED test at tolerance  1e-08
Testing:  knots predict for drift
PASSED test at tolerance  1e-08
Testing:  predict for null
PASSED test at tolerance  1e-08
Testing:  predict for null
PASSED test at tolerance  1e-08
Testing:  predict for null
PASSED test at tolerance  1e-08
Testing:  predict for null
PASSED test at tolerance  1e-08
PASSED test at tolerance  1e-08
Testing:  SE w/o covariate
PASSED test at tolerance  1e-08
Testing:  SE with covariate
PASSED test at tolerance  1e-08
Testing:  SE for fixed part
PASSED test at tolerance  1e-08
All done with Z tests and Krig/Tps including predict and predictSE !
> 
> proc.time()
   user  system elapsed 
  0.712   0.067   0.765