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)
Testing:  Likelihood Values summary and optim
PASSED test at tolerance  1e-08
Testing:  Likelihood Values summary and profile
PASSED test at tolerance  1e-08
Testing:  rho MLE
PASSED test at tolerance  1e-08
Testing:  consistency of Likelihood values
PASSED test at tolerance  1e-08
PASSED test at tolerance  1e-08
Testing:  Testing MLESpatialProcess 
PASSED test at tolerance  0.002
Testing:  spatialProcess finding MLE 
PASSED test at tolerance  1e-08
Testing:  spatialProcess given MLE 
PASSED test at tolerance  5e-08
Testing mKrigMLEJoint against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
Testing mKrigMLEJoint  with REML against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
Testing mKrigMLEJoint  with REML FALSE  against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
lnProfileLike.FULL             lambda              theta           sigmaMLE 
      -32.24048063         0.09913720         0.09942723         0.31460485 
            rhoMLE            funEval           gradEval 
        0.99837609        12.00000000        11.00000000 
lnProfileREML.FULL             lambda              theta           sigmaMLE 
      -32.24048063         0.09913720         0.09942723         0.31460485 
            rhoMLE            funEval           gradEval 
        0.99837609        12.00000000        11.00000000 
lnProfileLike.FULL             lambda              theta           sigmaMLE 
      -32.24016911         0.09913435         0.09941980         0.31459145 
            rhoMLE            funEval           gradEval 
        0.99831983        12.00000000        11.00000000 
1  2   
Testing:  Monte Carlo theta
PASSED test at tolerance  0.005
Testing:  Monte Carlo lambda
PASSED test at tolerance  0.05
all done with mKrigMLEGrid tests
> 
> 
> 
> proc.time()
   user  system elapsed 
  4.262   1.080   4.413