undef with unpack in dtype netcdf

Diane Stokes Diane.Stokes at NOAA.GOV
Fri Mar 11 09:38:33 EST 2005


Hoop and Jennifer,

Regarding gradshdf, mixing packed and non-packed variables in 1.9b3
works fine *if* I use sdfopen.  (And the undef issue is no problem with
sdfopen either).  It's only with "dtype netcdf" that I'm seeing the
problems I've asked about here.

Regarding the undef issue, thanks Jennifer for the offer to include an
extra option to allow the user to select whether the masking of undef
points should be applied before or after the unpacking.  That would be
great.  I agree, it's likely written the way it is for a reason.  (And
nobody else has asked about it yet, so it may be working fine for some
folks).

In the meantime, I'll suggest to this fellow that he could use a
separate descriptor file for these packed variables.

     Diane


Don Hooper wrote:

> Diane, Jennifer -
>
> Well, this is interesting:  In 1.8SL10, on Solaris 8, I've no difficulty
> displaying that variable with either gradsnc or gradshdf.  Maybe I missed
> something; was the dtype_netcdf DDF (and hence 1.9 per force) involved in
> that gradshdf-only problem?  It seemed fine with sdfopen in this situation....
> If I didn't miss anything, maybe we're back to Diane's suggestion of a build
> problem.
>
> -Hoop
>
>>From owner-gradsusr at LIST.CINECA.IT  Thu Mar 10 19:03:51 2005
>>
>>Hi, All --
>>
>>
>>> Thanks, Jennifer, for the suggestion to set the "file-wide" value
>>> to -10.0017. I'll suggest that to the user. On the off chance
>>> that one of the other fields has a point with value close enough
>>> to -10.0017, would that point then be considered missing too? (I
>>> just want to know what to tell him so he knows he has the choice
>>> of taking that risk vs using the maskout function).
>>
>>With that mix of variable types in the file, it will probably almost
>>certainly be a problem. Perhaps what he'll need is one descriptor with
>>the one variable and it's funky undef value, and another nearly
>>identical descriptor with the more general undef entry and the other
>>variables in the list.
>>
>>
>>
>>> Thanks, Hoop, for directing me to the CF conventions. As you
>>> mentioned, the general manual was vague. The CF convention says:
>>>
>>> "The missing values of a variable with scale_factor and/or
>>> add_offset attributes (see section 8.1) are interpreted relative
>>> to the variable's external values, i.e., the values stored in the
>>> netCDF file. Applications that process variables that have
>>> attributes to indicate both a transformation (via a scale and/or
>>> offset) and missing values should first check that a data value
>>> is valid, and then apply the transformation.
>>
>>Well, that's clear enough. It's not a huge change to the I/O code, but
>>I must have done it the other way in the first place for a good reason.
>>Maybe I could add a third arg to undef to make it as flexible as
>>possible...
>>
>>
>>>Also, if it wasn't noticed at the bottom of my orig msg,
>>
>>Yep, missed that chunk entirely. Oops!
>>
>>
>>> there is still the issue that gradshdf cannot seem to handle
>>> having a mix of packed vs non-packed variables. Has anyone else
>>> noticed the same, or might it be a problem with my build?
>>
>>The gradsnc and gradshdf use different versions of the netcdf libraries
>>and there are two different chunks of GrADS code to handle the I/O
>>depending on which build you're using (DON'T ASK) . I'll have to look
>>to see why the hdf version doesn't follow the same protocol as the nc
>>version.
>>
>>
>>
>>>A sample data file is temporarily available at:
>>>  ftp://ftpprd.ncep.noaa.gov/pub/cmb/misc/cola/00010101.ocean_month.nc
>>
>>Yes, I will definitely need this. Thanks for thinking of that ahead of
>>time!
>>
>>Jennifer
>>
>>
>>>   Thanks!
>>>      Diane
>>>
>>>
>>>
>>>Don Hooper wrote:
>>>
>>>
>>>>Jennifer,
>>>>
>>>> With regard to NetCDF conventions, the picture isn't perfectly
>>>> clear. Unidata's documentation is unclear because, packed
>>>> variables have two types: the packed type and the unpacked
>>>> type. However, their doc doesn't seem to go into that
>>>> distinction, and just talks about "the type of the variable". I
>>>> would presume that they mean the type displayed by ncdump, and
>>>> hence the packed type. Generally, that's how folks do
>>>> missing_value and _FillValue. This is handy when the packed
>>>> type is an integer one, as one can do exact comparisions for
>>>> equality, rather than the threshold type you described GrADS
>>>> doing for floating point values. However, the application is
>>>> then left to decide what value to replace missings with during
>>>> unpacking. Actually NetCDF conventions, like CF, I *think*
>>>> specifically require these attributes to be of the packed type,
>>>> but I don't feel like wading through those web pages right now.
>>>> %}
>>>>
>>>> I dunno if any of this helps....
>>>>
>>>> -Hoop, who's getting used to having his main contribution be as
>>>> a bad example....
>>>>
>>>>
>>>>>From owner-gradsusr at LIST.CINECA.IT  Thu Mar 10 13:13:54 2005
>>>>>
>>>>>Hi, Diane --
>>>>>First, a clarification of terminology:
>>>>>
>>>>>
>>>>>>undef -1.e+34f missing_value
>>>>>
>>>>> In this undef entry, you've provided a "file-wide" undef
>>>>> value of -1e+34 and an "undef attribute name". When you
>>>>> provide the attribute name, this tells GrADS that variables
>>>>> in the file may have different undef values and it needs to
>>>>> retrieve those along with the data when it does the I/O.
>>>>> Then, each variable is tested against its own missing value.
>>>>> If data are determined to be missing, then the missing value
>>>>> is changed to the file-wide undef, so that after I/O all
>>>>> variables appear to have the same undef value. This makes it
>>>>> possible to compare variables with different undefs without
>>>>> confusing GrADS. If no undef attribute name is given, the
>>>>> file-wide undef is used for each variable, and the missing
>>>>> value attribute is not retrieved during I/O.
>>>>>
>>>>> I believe your issue has to do with whether the missing value
>>>>>  attribute corresponds to a packed or unpacked data value.
>>>>> The way it has been implemented in the dtype netcdf interface
>>>>> is the latter: GrADS unpacks first, then does a "fuzzy" test
>>>>> to see if data values are within epsilon of the missing value
>>>>> -- if so, then they are assigned the file-wide undef.
>>>>>
>>>>> Since the missing value in your data set corresponds to a
>>>>> packed data value, then I suggest trying this as a solution:
>>>>> put the unpacked value of the undef as your file-wide undef
>>>>> without the undef attribute name:
>>>>>  undef -10.0017
>>>>>
>>>>>I have no idea what the NetCDF convention is for missing_value and
>>>>>_FillValue -- whether these are meant to correspond to packed or
>>>>>unpacked values. Anyone else know the answer to this?
>>>>>
>>>>>Jennifer
>>>>>
>>>>>
>>>>>On Mar 10, 2005, at 2:17 PM, Diane Stokes wrote:
>>>>>
>>>>>
>>>>>
>>>>>>Hi,
>>>>>>
>>>>>>I'm running GrADS 1.9b3 on AIX:
>>>>>>
>>>>>>Config: v1.9b3 32-bit big-endian readline sdf/xdf netcdf lats
>>>>>>printim
>>>>>>
>>>>>>
>>>>>> I'm trying to help someone here read a netcdf file, using
>>>>>> the new "dtype netcdf" entry in the data descriptor file.
>>>>>> This data includes a packed variable, temp.
>>>>>>
>>>>>> The data descriptor file and output from ncdump -c are
>>>>>> attached.
>>>>>>
>>>>>> When I include the "upack" line in the descriptor file,
>>>>>> temp displays correctly *except* for the fact that the
>>>>>> missing points are not masked out. GrADS sees these values
>>>>>> as -10.0017.
>>>>>>
>>>>>> If I remove the "undef" line, the missing values are seen
>>>>>> as -32768 and are masked out correctly, but, of course, the
>>>>>> wrong values are displayed for the temperature (because
>>>>>> they haven't been unpacked).
>>>>>>
>>>>>> Is the problem that GrADS is expecting -32768 but seeing
>>>>>> -10.0017? Or might it be a roundoff issue, eg, GrADS is
>>>>>> expecting -10, but seeing -10.0017? Either way, any
>>>>>> suggestions?
>>>>>>
>>>>>> We could use sdfopen to read one file, but we are
>>>>>> templating a time series of files. We have to use "dtype
>>>>>> netcdf" instead to avoid core dumps.
>>>>>>
>>>>>> Maskout will work in the meantime, but that is not an ideal
>>>>>>  solution.
>>>>>>
>>>>>>
>>>>>>
>>>>>> *ALSO*, I can display the non-packed packed variables
>>>>>> version using gradsnc. I get, eg:
>>>>>>
>>>>>> ga-> d eta_t Warning: Scale Factor Attribute Value Not
>>>>>> Retrieved ... setting to 1.0
>>>>>> Warning: Offset Attribute Value Not Retrieved ... setting
>>>>>> to 0.0 Contouring: -1.8 to 0.6 interval 0.3
>>>>>>
>>>>>>But with gradshdf, I get:
>>>>>>
>>>>>>ga-> d eta_t
>>>>>>ncattget: ncid 4: Attribute not found
>>>>>>
>>>>>>and GrADS exits. (No core dump).
>>>>>>
>>>>>> I'll start a new thread with this one if you like, but then
>>>>>> you'd get another copy of the same ncdump -c output.
>>>>>>
>>>>>> Thanks in advance for any help.
>>>>>>    Diane
>>>>>>
>>>>>>--
>>>>>>Diane Stokes
>>>>>>Environmental Modeling Center
>>>>>>National Weather Service/NOAA
>>>>>>
>>>>>>DSET /ptmp/wx20wn/SIMU_OUT/TS/%y4%m201.ocean_month.nc
>>>>>>dtype netcdf
>>>>>>options template
>>>>>>undef -1.e+34f missing_value
>>>>>>unpack scale_factor add_offset
>>>>>>title operational godas time_mean files
>>>>>>*
>>>>>>
>>>>>>XDEF 360 LINEAR 0.5 1.0
>>>>>>YDEF 200 LEVELS -74.5  -73.5  -72.5  -71.5  -70.5  -69.5  -68.5
>>>>>>-67.5
>>>>>>-66.5
>>>>>>   -65.5  -64.5  -63.5  -62.5  -61.5  -60.5  -59.5  -58.5  -57.5
>>>>>>-56.5
>>>>>>   -55.5  -54.5  -53.5  -52.5  -51.5  -50.5  -49.5  -48.5  -47.5
>>>>>>-46.5
>>>>>>   -45.5  -44.5  -43.5  -42.5  -41.5  -40.5  -39.5  -38.5  -37.5
>>>>>>-36.5
>>>>>>   -35.5  -34.5  -33.5  -32.5  -31.5  -30.5  -29.50046  -28.50319
>>>>>>   -27.51137  -26.52855  -25.5582  -24.60365  -23.66805  -22.75435
>>>>>>   -21.86525  -21.00319  -20.17032  -19.36844  -18.59905  -17.86328
>>>>>>   -17.16186  -16.4952  -15.86328  -15.26573  -14.70179  -14.17033
>>>>>>   -13.66988  -13.19861  -12.75437  -12.33475  -11.93702  -11.55824
>>>>>>   -11.19526  -10.84474  -10.50324  -10.16717  -9.833385  -9.500055
>>>>>>   -9.166725  -8.833395  -8.500065  -8.166735  -7.833405  -7.500075
>>>>>>   -7.166745  -6.833415  -6.500085  -6.166755  -5.833425  -5.500095
>>>>>>   -5.166765  -4.833435  -4.500105  -4.166775  -3.833445  -3.500115
>>>>>>   -3.166785  -2.833455  -2.500125  -2.166795  -1.833465  -1.500135
>>>>>>   -1.166805  -0.833475  -0.500145  -0.166815  0.166515  0.499845
>>>>>>0.833175
>>>>>>   1.166505  1.499835  1.833165  2.166495  2.499825  2.833155
>>>>>>3.166485
>>>>>>   3.499815  3.833145  4.166475  4.499805  4.833135  5.166465
>>>>>>5.499795
>>>>>>   5.833125  6.166455  6.499785  6.833115  7.166445  7.499775
>>>>>>7.833105
>>>>>>   8.166435  8.499765  8.833095  9.166425  9.499755  9.833085
>>>>>>10.16687
>>>>>>   10.50294  10.84444  11.19496  11.55794  11.93672  12.33445
>>>>>>12.75407
>>>>>>   13.19831  13.66958  14.17003  14.70149  15.26543  15.86298
>>>>>>16.4949
>>>>>>   17.16156  17.86298  18.59875  19.36814  20.17002  21.00289
>>>>>>21.86495
>>>>>>   22.75405  23.66775  24.60335  25.5579  26.52825  27.51107
>>>>>>28.50289
>>>>>>   29.50016  30.4997  31.4997  32.4997  33.4997  34.4997  35.4997
>>>>>>36.4997
>>>>>>   37.4997  38.4997  39.4997  40.4997  41.4997  42.4997  43.4997
>>>>>>44.4997
>>>>>>   45.4997  46.4997  47.4997  48.4997  49.4997  50.4997  51.4997
>>>>>>52.4997
>>>>>>   53.4997  54.4997  55.4997  56.4997  57.4997  58.4997  59.4997
>>>>>>60.4997
>>>>>>   61.4997  62.4997  63.4997  64.4997
>>>>>>
>>>>>>ZDEF 40 levels 5  15  25  35  45  55  65  75  85  95  105  115  125
>>>>>>135  145  155
>>>>>>   165  175  185  195  205  215  225  238.4779  262.2945  303.0287
>>>>>>   366.7978  459.091  584.6193  747.187  949.5881  1193.53  1479.588
>>>>>>   1807.187  2174.619  2579.091  3016.798  3483.029  3972.294
>>>>>>4478.478
>>>>>>
>>>>>>TDEF 14 LINEAR 16jan0001 1mo
>>>>>>
>>>>>>vars 6
>>>>>>eta_t    0 t,y,x   ssh
>>>>>>temp    40 t,z,y,x   temp
>>>>>>salt    40 t,z,y,x   salt
>>>>>>mld      0 t,y,x   mld
>>>>>>sfc_hflux      0 t,y,x   heat flux
>>>>>>pme      0 t,y,x   precip-evap
>>>>>>endvars
>>>>>>
>>>>>>netcdf 00010101.ocean_month {
>>>>>>dimensions:
>>>>>>       xt_ocean = 360 ;
>>>>>>       yt_ocean = 200 ;
>>>>>>       Time = UNLIMITED ; // (1 currently)
>>>>>>       nv = 2 ;
>>>>>>       zt_ocean = 40 ;
>>>>>>       zt_edges_ocean = 41 ;
>>>>>>       zw_ocean = 40 ;
>>>>>>       zw_edges_ocean = 41 ;
>>>>>>variables:
>>>>>>       float xt_ocean(xt_ocean) ;
>>>>>>               xt_ocean:long_name = "tcell longitude" ;
>>>>>>               xt_ocean:units = "degrees_E" ;
>>>>>>               xt_ocean:cartesian_axis = "X" ;
>>>>>>       float yt_ocean(yt_ocean) ;
>>>>>>               yt_ocean:long_name = "tcell latitude" ;
>>>>>>               yt_ocean:units = "degrees_N" ;
>>>>>>               yt_ocean:cartesian_axis = "Y" ;
>>>>>>       double Time(Time) ;
>>>>>>               Time:long_name = "Time" ;
>>>>>>               Time:units = "days since 0001-01-01 00:00:00" ;
>>>>>>               Time:cartesian_axis = "T" ;
>>>>>>               Time:calendar_type = "JULIAN" ;
>>>>>>               Time:calendar = "JULIAN" ;
>>>>>>               Time:bounds = "Time_bounds" ;
>>>>>>       float nv(nv) ;
>>>>>>               nv:long_name = "vertex number" ;
>>>>>>               nv:units = "none" ;
>>>>>>               nv:cartesian_axis = "N" ;
>>>>>>       float zt_ocean(zt_ocean) ;
>>>>>>               zt_ocean:long_name = "tcell depth" ;
>>>>>>               zt_ocean:units = "meters" ;
>>>>>>               zt_ocean:cartesian_axis = "Z" ;
>>>>>>               zt_ocean:positive = "down" ;
>>>>>>               zt_ocean:edges = "zt_edges_ocean" ;
>>>>>>       float zt_edges_ocean(zt_edges_ocean) ;
>>>>>>               zt_edges_ocean:long_name = "tcell depth edges" ;
>>>>>>               zt_edges_ocean:units = "meters" ;
>>>>>>               zt_edges_ocean:cartesian_axis = "Z" ;
>>>>>>               zt_edges_ocean:positive = "down" ;
>>>>>>       float zw_ocean(zw_ocean) ;
>>>>>>               zw_ocean:long_name = "ucell depth" ;
>>>>>>               zw_ocean:units = "meters" ;
>>>>>>               zw_ocean:cartesian_axis = "Z" ;
>>>>>>               zw_ocean:positive = "down" ;
>>>>>>               zw_ocean:edges = "zw_edges_ocean" ;
>>>>>>       float zw_edges_ocean(zw_edges_ocean) ;
>>>>>>               zw_edges_ocean:long_name = "ucell depth edges" ;
>>>>>>               zw_edges_ocean:units = "meters" ;
>>>>>>               zw_edges_ocean:cartesian_axis = "Z" ;
>>>>>>               zw_edges_ocean:positive = "down" ;
>>>>>>       float eta_t(Time, yt_ocean, xt_ocean) ;
>>>>>>               eta_t:long_name = "surface height on T cells" ;
>>>>>>               eta_t:units = "meter" ;
>>>>>>               eta_t:valid_range = -10.f, 10.f ;
>>>>>>               eta_t:missing_value = -10.f ;
>>>>>>               eta_t:cell_methods = "time: mean" ;
>>>>>>               eta_t:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT" ;
>>>>>>       short temp(Time, zt_ocean, yt_ocean, xt_ocean) ;
>>>>>>               temp:long_name = "Potential temperature" ;
>>>>>>               temp:units = "deg_C" ;
>>>>>>               temp:valid_range = -32767s, 32767s ;
>>>>>>               temp:missing_value = -32768s ;
>>>>>>               temp:packing = 4 ;
>>>>>>               temp:scale_factor = 0.001678518f ;
>>>>>>               temp:add_offset = 45.f ;
>>>>>>               temp:cell_methods = "time: mean" ;
>>>>>>               temp:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT" ;
>>>>>>       short salt(Time, zt_ocean, yt_ocean, xt_ocean) ;
>>>>>>               salt:long_name = "Salinity" ;
>>>>>>               salt:units = "psu" ;
>>>>>>               salt:valid_range = -32767s, 32767s ;
>>>>>>               salt:missing_value = -32768s ;
>>>>>>               salt:packing = 4 ;
>>>>>>               salt:scale_factor = 0.001678518f ;
>>>>>>               salt:add_offset = 45.f ;
>>>>>>               salt:cell_methods = "time: mean" ;
>>>>>>               salt:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT" ;
>>>>>>       float wt(Time, zw_ocean, yt_ocean, xt_ocean) ;
>>>>>>               wt:long_name = "vertical velocity T-points" ;
>>>>>>               wt:units = "m/sec" ;
>>>>>>               wt:valid_range = -10.f, 10.f ;
>>>>>>               wt:missing_value = -10.f ;
>>>>>>               wt:cell_methods = "time: mean" ;
>>>>>>               wt:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT" ;
>>>>>>       float mld(Time, yt_ocean, xt_ocean) ;
>>>>>>               mld:long_name = "mixed layer depth" ;
>>>>>>               mld:units = "m" ;
>>>>>>               mld:valid_range = 0.f, 1000000.f ;
>>>>>>               mld:missing_value = 0.f ;
>>>>>>               mld:cell_methods = "time: mean" ;
>>>>>>               mld:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT"
>>>>>>;
>>>>>>       float sfc_hflux(Time, yt_ocean, xt_ocean) ;
>>>>>>               sfc_hflux:long_name = "surface heat flux" ;
>>>>>>               sfc_hflux:units = "Watts/m^2" ;
>>>>>>               sfc_hflux:valid_range = -10000.f, 10000.f ;
>>>>>>               sfc_hflux:missing_value = -1.e+10f ;
>>>>>>               sfc_hflux:cell_methods = "time: mean" ;
>>>>>>               sfc_hflux:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT" ;
>>>>>>       float pme(Time, yt_ocean, xt_ocean) ;
>>>>>>               pme:long_name = "precip-evap (liquid, frozen,
>>>>>>evaporation)" ;
>>>>>>               pme:units = "m/sec" ;
>>>>>>               pme:valid_range = -10.f, 10.f ;
>>>>>>               pme:missing_value = -1.e+10f ;
>>>>>>               pme:cell_methods = "time: mean" ;
>>>>>>               pme:time_avg_info =
>>>>>>"average_T1,average_T2,average_DT"
>>>>>>;
>>>>>>       double average_T1(Time) ;
>>>>>>               average_T1:long_name = "Start time for average
>>>>>>period"
>>>>>>;
>>>>>>               average_T1:units = "days since 0001-01-01 00:00:00" ;
>>>>>>       double average_T2(Time) ;
>>>>>>               average_T2:long_name = "End time for average period"
>>>>>>;
>>>>>>               average_T2:units = "days since 0001-01-01 00:00:00" ;
>>>>>>       double average_DT(Time) ;
>>>>>>               average_DT:long_name = "Length of average period" ;
>>>>>>               average_DT:units = "days" ;
>>>>>>       double Time_bounds(Time, nv) ;
>>>>>>               Time_bounds:long_name = "Time axis boundaries" ;
>>>>>>               Time_bounds:units = "days" ;
>>>>>>
>>>>>>// global attributes:
>>>>>>               :filename = "ocean_month.nc" ;
>>>>>>               :title = "indian ocean exp" ;
>>>>>>data:
>>>>>>
>>>>>>xt_ocean = 0.5, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5, 10.5,
>>>>>>11.5,
>>>>>>   12.5, 13.5, 14.5, 15.5, 16.5, 17.5, 18.5, 19.5, 20.5, 21.5, 22.5,
>>>>>>23.5,
>>>>>>   24.5, 25.5, 26.5, 27.5, 28.5, 29.5, 30.5, 31.5, 32.5, 33.5, 34.5,
>>>>>>35.5,
>>>>>>   36.5, 37.5, 38.5, 39.5, 40.5, 41.5, 42.5, 43.5, 44.5, 45.5, 46.5,
>>>>>>47.5,
>>>>>>   48.5, 49.5, 50.5, 51.5, 52.5, 53.5, 54.5, 55.5, 56.5, 57.5, 58.5,
>>>>>>59.5,
>>>>>>   60.5, 61.5, 62.5, 63.5, 64.5, 65.5, 66.5, 67.5, 68.5, 69.5, 70.5,
>>>>>>71.5,
>>>>>>   72.5, 73.5, 74.5, 75.5, 76.5, 77.5, 78.5, 79.5, 80.5, 81.5, 82.5,
>>>>>>83.5,
>>>>>>   84.5, 85.5, 86.5, 87.5, 88.5, 89.5, 90.5, 91.5, 92.5, 93.5, 94.5,
>>>>>>95.5,
>>>>>>   96.5, 97.5, 98.5, 99.5, 100.5, 101.5, 102.5, 103.5, 104.5, 105.5,
>>>>>>106.5,
>>>>>>   107.5, 108.5, 109.5, 110.5, 111.5, 112.5, 113.5, 114.5, 115.5,
>>>>>>116.5,
>>>>>>   117.5, 118.5, 119.5, 120.5, 121.5, 122.5, 123.5, 124.5, 125.5,
>>>>>>126.5,
>>>>>>   127.5, 128.5, 129.5, 130.5, 131.5, 132.5, 133.5, 134.5, 135.5,
>>>>>>136.5,
>>>>>>   137.5, 138.5, 139.5, 140.5, 141.5, 142.5, 143.5, 144.5, 145.5,
>>>>>>146.5,
>>>>>>   147.5, 148.5, 149.5, 150.5, 151.5, 152.5, 153.5, 154.5, 155.5,
>>>>>>156.5,
>>>>>>   157.5, 158.5, 159.5, 160.5, 161.5, 162.5, 163.5, 164.5, 165.5,
>>>>>>166.5,
>>>>>>   167.5, 168.5, 169.5, 170.5, 171.5, 172.5, 173.5, 174.5, 175.5,
>>>>>>176.5,
>>>>>>   177.5, 178.5, 179.5, 180.5, 181.5, 182.5, 183.5, 184.5, 185.5,
>>>>>>186.5,
>>>>>>   187.5, 188.5, 189.5, 190.5, 191.5, 192.5, 193.5, 194.5, 195.5,
>>>>>>196.5,
>>>>>>   197.5, 198.5, 199.5, 200.5, 201.5, 202.5, 203.5, 204.5, 205.5,
>>>>>>206.5,
>>>>>>   207.5, 208.5, 209.5, 210.5, 211.5, 212.5, 213.5, 214.5, 215.5,
>>>>>>216.5,
>>>>>>   217.5, 218.5, 219.5, 220.5, 221.5, 222.5, 223.5, 224.5, 225.5,
>>>>>>226.5,
>>>>>>   227.5, 228.5, 229.5, 230.5, 231.5, 232.5, 233.5, 234.5, 235.5,
>>>>>>236.5,
>>>>>>   237.5, 238.5, 239.5, 240.5, 241.5, 242.5, 243.5, 244.5, 245.5,
>>>>>>246.5,
>>>>>>   247.5, 248.5, 249.5, 250.5, 251.5, 252.5, 253.5, 254.5, 255.5,
>>>>>>256.5,
>>>>>>   257.5, 258.5, 259.5, 260.5, 261.5, 262.5, 263.5, 264.5, 265.5,
>>>>>>266.5,
>>>>>>   267.5, 268.5, 269.5, 270.5, 271.5, 272.5, 273.5, 274.5, 275.5,
>>>>>>276.5,
>>>>>>   277.5, 278.5, 279.5, 280.5, 281.5, 282.5, 283.5, 284.5, 285.5,
>>>>>>286.5,
>>>>>>   287.5, 288.5, 289.5, 290.5, 291.5, 292.5, 293.5, 294.5, 295.5,
>>>>>>296.5,
>>>>>>   297.5, 298.5, 299.5, 300.5, 301.5, 302.5, 303.5, 304.5, 305.5,
>>>>>>306.5,
>>>>>>   307.5, 308.5, 309.5, 310.5, 311.5, 312.5, 313.5, 314.5, 315.5,
>>>>>>316.5,
>>>>>>   317.5, 318.5, 319.5, 320.5, 321.5, 322.5, 323.5, 324.5, 325.5,
>>>>>>326.5,
>>>>>>   327.5, 328.5, 329.5, 330.5, 331.5, 332.5, 333.5, 334.5, 335.5,
>>>>>>336.5,
>>>>>>   337.5, 338.5, 339.5, 340.5, 341.5, 342.5, 343.5, 344.5, 345.5,
>>>>>>346.5,
>>>>>>   347.5, 348.5, 349.5, 350.5, 351.5, 352.5, 353.5, 354.5, 355.5,
>>>>>>356.5,
>>>>>>   357.5, 358.5, 359.5 ;
>>>>>>
>>>>>>yt_ocean = -74.5, -73.5, -72.5, -71.5, -70.5, -69.5, -68.5, -67.5,
>>>>>>-66.5,
>>>>>>   -65.5, -64.5, -63.5, -62.5, -61.5, -60.5, -59.5, -58.5, -57.5,
>>>>>>-56.5,
>>>>>>   -55.5, -54.5, -53.5, -52.5, -51.5, -50.5, -49.5, -48.5, -47.5,
>>>>>>-46.5,
>>>>>>   -45.5, -44.5, -43.5, -42.5, -41.5, -40.5, -39.5, -38.5, -37.5,
>>>>>>-36.5,
>>>>>>   -35.5, -34.5, -33.5, -32.5, -31.5, -30.5, -29.50046, -28.50319,
>>>>>>   -27.51137, -26.52855, -25.5582, -24.60365, -23.66805, -22.75435,
>>>>>>   -21.86525, -21.00319, -20.17032, -19.36844, -18.59905, -17.86328,
>>>>>>   -17.16186, -16.4952, -15.86328, -15.26573, -14.70179, -14.17033,
>>>>>>   -13.66988, -13.19861, -12.75437, -12.33475, -11.93702, -11.55824,
>>>>>>   -11.19526, -10.84474, -10.50324, -10.16717, -9.833385, -9.500055,
>>>>>>   -9.166725, -8.833395, -8.500065, -8.166735, -7.833405, -7.500075,
>>>>>>   -7.166745, -6.833415, -6.500085, -6.166755, -5.833425, -5.500095,
>>>>>>   -5.166765, -4.833435, -4.500105, -4.166775, -3.833445, -3.500115,
>>>>>>   -3.166785, -2.833455, -2.500125, -2.166795, -1.833465, -1.500135,
>>>>>>   -1.166805, -0.833475, -0.500145, -0.166815, 0.166515, 0.499845,
>>>>>>0.833175,
>>>>>>   1.166505, 1.499835, 1.833165, 2.166495, 2.499825, 2.833155,
>>>>>>3.166485,
>>>>>>   3.499815, 3.833145, 4.166475, 4.499805, 4.833135, 5.166465,
>>>>>>5.499795,
>>>>>>   5.833125, 6.166455, 6.499785, 6.833115, 7.166445, 7.499775,
>>>>>>7.833105,
>>>>>>   8.166435, 8.499765, 8.833095, 9.166425, 9.499755, 9.833085,
>>>>>>10.16687,
>>>>>>   10.50294, 10.84444, 11.19496, 11.55794, 11.93672, 12.33445,
>>>>>>12.75407,
>>>>>>   13.19831, 13.66958, 14.17003, 14.70149, 15.26543, 15.86298,
>>>>>>16.4949,
>>>>>>   17.16156, 17.86298, 18.59875, 19.36814, 20.17002, 21.00289,
>>>>>>21.86495,
>>>>>>   22.75405, 23.66775, 24.60335, 25.5579, 26.52825, 27.51107,
>>>>>>28.50289,
>>>>>>   29.50016, 30.4997, 31.4997, 32.4997, 33.4997, 34.4997, 35.4997,
>>>>>>36.4997,
>>>>>>   37.4997, 38.4997, 39.4997, 40.4997, 41.4997, 42.4997, 43.4997,
>>>>>>44.4997,
>>>>>>   45.4997, 46.4997, 47.4997, 48.4997, 49.4997, 50.4997, 51.4997,
>>>>>>52.4997,
>>>>>>   53.4997, 54.4997, 55.4997, 56.4997, 57.4997, 58.4997, 59.4997,
>>>>>>60.4997,
>>>>>>   61.4997, 62.4997, 63.4997, 64.4997 ;
>>>>>>
>>>>>>Time = 15.5 ;
>>>>>>
>>>>>>nv = 1, 2 ;
>>>>>>
>>>>>>zt_ocean = 5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 105, 115, 125,
>>>>>>135,
>>>>>>145,
>>>>>>   155, 165, 175, 185, 195, 205, 215, 225, 238.4779, 262.2945,
>>>>>>303.0287,
>>>>>>   366.7978, 459.091, 584.6193, 747.187, 949.5881, 1193.53,
>>>>>>1479.588,
>>>>>>   1807.187, 2174.619, 2579.091, 3016.798, 3483.029, 3972.294,
>>>>>>4478.478 ;
>>>>>>
>>>>>>zt_edges_ocean = -0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110,
>>>>>>120, 130,
>>>>>>   140, 150, 160, 170, 180, 190, 200, 210, 220, 231.7389, 250.3862,
>>>>>>   282.6616, 334.9132, 412.9444, 521.8552, 665.9031, 848.3875,
>>>>>>1071.559,
>>>>>>   1336.559, 1643.388, 1990.903, 2376.855, 2797.944, 3249.913,
>>>>>>3727.662,
>>>>>>   4225.386, 4736.739 ;
>>>>>>
>>>>>>zw_ocean = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130,
>>>>>>140, 150,
>>>>>>   160, 170, 180, 190, 200, 210, 220, 231.7389, 250.3862, 282.6616,
>>>>>>   334.9132, 412.9444, 521.8552, 665.9031, 848.3875, 1071.559,
>>>>>>1336.559,
>>>>>>   1643.388, 1990.903, 2376.855, 2797.944, 3249.913, 3727.662,
>>>>>>4225.386,
>>>>>>   4736.739 ;
>>>>>>
>>>>>>zw_edges_ocean = 5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 105, 115,
>>>>>>125, 135,
>>>>>>   145, 155, 165, 175, 185, 195, 205, 215, 225, 238.4779, 262.2945,
>>>>>>   303.0287, 366.7978, 459.091, 584.6193, 747.187, 949.5881,
>>>>>>1193.53,
>>>>>>   1479.588, 1807.187, 2174.619, 2579.091, 3016.798, 3483.029,
>>>>>>3972.294,
>>>>>>   4478.478, 4736.739 ;
>>>>>>}
>>>>
>>>>

--
Diane Stokes
Environmental Modeling Center
National Weather Service/NOAA



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