feat: can calculate polar stereographic distortion for distances (#294)

* feat: can calculate polar stereographic distortion for distances docs: update links to CATS2008-v2023 * fix: dtype suggestions * fix: append v currents in TPXO9 only if netcdf to address #295
tsutterley · Apr 4, 2024 · 24f03ff · 24f03ff
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diff --git a/doc/source/api_reference/spatial.rst b/doc/source/api_reference/spatial.rst
@@ -84,4 +84,4 @@ General Methods
 
 .. autofunction:: pyTMD.spatial._zhu_closed_form
 
-.. autofunction:: pyTMD.spatial.scale_areas
+.. autofunction:: pyTMD.spatial.scale_factors
diff --git a/doc/source/getting_started/Getting-Started.rst b/doc/source/getting_started/Getting-Started.rst
@@ -29,9 +29,9 @@ Presently, the following models and their directories parameterized within ``pyT
 - Circum-Antarctic Tidal Simulations [Padman2008]_
 
     * CATS0201: ``<path_to_tide_models>/cats0201_tmd/``
-    * `CATS2008 <https://www.usap-dc.org/view/dataset/601235>`_: ``<path_to_tide_models>/CATS2008/``
+    * `CATS2008 <https://doi.org/10.15784/601235>`_: ``<path_to_tide_models>/CATS2008/``
     * CATS2008_load: ``<path_to_tide_models>/CATS2008a_SPOTL_Load/``
-    * `CATS2008-v2023 <https://www.chadagreene.com/tide_data/CATS2008_v2023.nc.zip>`_: ``<path_to_tide_models>/CATS2008_v2023/``
+    * `CATS2008-v2023 <https://doi.org/10.15784/601772>`_: ``<path_to_tide_models>/CATS2008_v2023/``
 
 - Arctic Ocean and Greenland Coast Tidal Simulations [Padman2004]_
 

diff --git a/pyTMD/compute.py b/pyTMD/compute.py
@@ -183,7 +183,7 @@ def tide_elevations(
         DEFINITION_FILE: str | pathlib.Path | None = None,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         METHOD: str = 'spline',
         EXTRAPOLATE: bool = False,
@@ -411,7 +411,7 @@ def tide_currents(
         DEFINITION_FILE: str | pathlib.Path | None = None,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         METHOD: str = 'spline',
         EXTRAPOLATE: bool = False,
@@ -627,7 +627,7 @@ def LPET_elevations(
         x: np.ndarray, y: np.ndarray, delta_time: np.ndarray,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         **kwargs
     ):
@@ -732,7 +732,7 @@ def LPT_displacements(
         h: float | np.ndarray = 0.0,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         ELLIPSOID: str = 'WGS84',
         CONVENTION: str = '2018',
@@ -903,7 +903,7 @@ def OPT_displacements(
         h: float | np.ndarray = 0.0,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         ELLIPSOID: str = 'WGS84',
         CONVENTION: str = '2018',
@@ -1103,7 +1103,7 @@ def SET_displacements(
         h: float | np.ndarray = 0.0,
         EPSG: str | int = 3031,
         EPOCH: list | tuple = (2000, 1, 1, 0, 0, 0),
-        TYPE: str or None = 'drift',
+        TYPE: str | None = 'drift',
         TIME: str = 'UTC',
         ELLIPSOID: str = 'WGS84',
         TIDE_SYSTEM='tide_free',

diff --git a/pyTMD/eop.py b/pyTMD/eop.py
@@ -197,9 +197,9 @@ def pull_pole_coordinates(FILE: str, verbose: bool = False):
 
 # PURPOSE: connects to servers and downloads finals files
 def update_finals_file(
-        username: str or None = None,
-        password: str or None = None,
-        timeout: int or None = 20,
+        username: str | None = None,
+        password: str | None = None,
+        timeout: int | None = 20,
         verbose: bool = False,
         mode: oct = 0o775
     ):

diff --git a/pyTMD/interpolate.py b/pyTMD/interpolate.py
@@ -275,7 +275,7 @@ def extrapolate(
         fill_value: float = None,
         dtype: str | np.dtype = np.float64,
         cutoff: int | float = np.inf,
-        EPSG: str or int = '4326',
+        EPSG: str | int = '4326',
         **kwargs
     ):
     """

diff --git a/pyTMD/io/model.py b/pyTMD/io/model.py
@@ -1,11 +1,12 @@
 #!/usr/bin/env python
 u"""
 model.py
-Written by Tyler Sutterley (11/2023)
+Written by Tyler Sutterley (04/2024)
 Retrieves tide model parameters for named tide models and
     from model definition files
 
 UPDATE HISTORY:
+    Updated 04/2024: append v-components of velocity only to netcdf format
     Updated 11/2023: revert TPXO9-atlas currents changes to separate dicts
     Updated 09/2023: fix scale values for TPXO9-atlas currents
     Updated 08/2023: changed ESR netCDF4 format to TMD3 format
@@ -726,12 +727,16 @@ def current(self, m: str):
                 'u_s2_tpxo9_atlas_30','u_k2_tpxo9_atlas_30',
                 'u_m4_tpxo9_atlas_30','u_ms4_tpxo9_atlas_30',
                 'u_mn4_tpxo9_atlas_30','u_2n2_tpxo9_atlas_30']
-            model_files['v'] = ['v_q1_tpxo9_atlas_30','v_o1_tpxo9_atlas_30',
-                'v_p1_tpxo9_atlas_30','v_k1_tpxo9_atlas_30',
-                'v_n2_tpxo9_atlas_30','v_m2_tpxo9_atlas_30',
-                'v_s2_tpxo9_atlas_30','v_k2_tpxo9_atlas_30',
-                'v_m4_tpxo9_atlas_30','v_ms4_tpxo9_atlas_30',
-                'v_mn4_tpxo9_atlas_30','v_2n2_tpxo9_atlas_30']
+            # add v-component if format is netcdf
+            if (self.format == 'netcdf'):
+                model_files['v'] = ['v_q1_tpxo9_atlas_30',
+                    'v_o1_tpxo9_atlas_30','v_p1_tpxo9_atlas_30',
+                    'v_k1_tpxo9_atlas_30','v_n2_tpxo9_atlas_30',
+                    'v_m2_tpxo9_atlas_30','v_s2_tpxo9_atlas_30',
+                    'v_k2_tpxo9_atlas_30','v_m4_tpxo9_atlas_30',
+                    'v_ms4_tpxo9_atlas_30','v_mn4_tpxo9_atlas_30',
+                    'v_2n2_tpxo9_atlas_30']
+            # build model file dictionary
             self.model_file = {}
             for key,val in model_files.items():
                 self.model_file[key] = self.pathfinder(val)
@@ -751,12 +756,16 @@ def current(self, m: str):
                 'u_s2_tpxo9_atlas_30_v2','u_k2_tpxo9_atlas_30_v2',
                 'u_m4_tpxo9_atlas_30_v2','u_ms4_tpxo9_atlas_30_v2',
                 'u_mn4_tpxo9_atlas_30_v2','u_2n2_tpxo9_atlas_30_v2']
-            model_files['v'] = ['v_q1_tpxo9_atlas_30_v2','v_o1_tpxo9_atlas_30_v2',
-                'v_p1_tpxo9_atlas_30_v2','v_k1_tpxo9_atlas_30_v2',
-                'v_n2_tpxo9_atlas_30_v2','v_m2_tpxo9_atlas_30_v2',
-                'v_s2_tpxo9_atlas_30_v2','v_k2_tpxo9_atlas_30_v2',
-                'v_m4_tpxo9_atlas_30_v2','v_ms4_tpxo9_atlas_30_v2',
-                'v_mn4_tpxo9_atlas_30_v2','v_2n2_tpxo9_atlas_30_v2']
+            # add v-component if format is netcdf
+            if (self.format == 'netcdf'):
+                model_files['v'] = ['v_q1_tpxo9_atlas_30_v2',
+                    'v_o1_tpxo9_atlas_30_v2','v_p1_tpxo9_atlas_30_v2',
+                    'v_k1_tpxo9_atlas_30_v2','v_n2_tpxo9_atlas_30_v2',
+                    'v_m2_tpxo9_atlas_30_v2','v_s2_tpxo9_atlas_30_v2',
+                    'v_k2_tpxo9_atlas_30_v2','v_m4_tpxo9_atlas_30_v2',
+                    'v_ms4_tpxo9_atlas_30_v2','v_mn4_tpxo9_atlas_30_v2',
+                    'v_2n2_tpxo9_atlas_30_v2']
+            # build model file dictionary
             self.model_file = {}
             for key,val in model_files.items():
                 self.model_file[key] = self.pathfinder(val)
@@ -776,13 +785,17 @@ def current(self, m: str):
                 'u_m4_tpxo9_atlas_30_v3','u_ms4_tpxo9_atlas_30_v3',
                 'u_mn4_tpxo9_atlas_30_v3','u_2n2_tpxo9_atlas_30_v3',
                 'u_mf_tpxo9_atlas_30_v3','u_mm_tpxo9_atlas_30_v3']
-            model_files['v'] = ['v_q1_tpxo9_atlas_30_v3','v_o1_tpxo9_atlas_30_v3',
-                'v_p1_tpxo9_atlas_30_v3','v_k1_tpxo9_atlas_30_v3',
-                'v_n2_tpxo9_atlas_30_v3','v_m2_tpxo9_atlas_30_v3',
-                'v_s2_tpxo9_atlas_30_v3','v_k2_tpxo9_atlas_30_v3',
-                'v_m4_tpxo9_atlas_30_v3','v_ms4_tpxo9_atlas_30_v3',
-                'v_mn4_tpxo9_atlas_30_v3','v_2n2_tpxo9_atlas_30_v3',
-                'v_mf_tpxo9_atlas_30_v3','v_mm_tpxo9_atlas_30_v3']
+            # add v-component if format is netcdf
+            if (self.format == 'netcdf'):
+                model_files['v'] = ['v_q1_tpxo9_atlas_30_v3',
+                    'v_o1_tpxo9_atlas_30_v3','v_p1_tpxo9_atlas_30_v3',
+                    'v_k1_tpxo9_atlas_30_v3','v_n2_tpxo9_atlas_30_v3',
+                    'v_m2_tpxo9_atlas_30_v3','v_s2_tpxo9_atlas_30_v3',
+                    'v_k2_tpxo9_atlas_30_v3','v_m4_tpxo9_atlas_30_v3',
+                    'v_ms4_tpxo9_atlas_30_v3','v_mn4_tpxo9_atlas_30_v3',
+                    'v_2n2_tpxo9_atlas_30_v3','v_mf_tpxo9_atlas_30_v3',
+                    'v_mm_tpxo9_atlas_30_v3']
+            # build model file dictionary
             self.model_file = {}
             for key,val in model_files.items():
                 self.model_file[key] = self.pathfinder(val)
@@ -802,13 +815,17 @@ def current(self, m: str):
                 'u_m4_tpxo9_atlas_30_v4','u_ms4_tpxo9_atlas_30_v4',
                 'u_mn4_tpxo9_atlas_30_v4','u_2n2_tpxo9_atlas_30_v4',
                 'u_mf_tpxo9_atlas_30_v4','u_mm_tpxo9_atlas_30_v4']
-            model_files['v'] = ['v_q1_tpxo9_atlas_30_v4','v_o1_tpxo9_atlas_30_v4',
-                'v_p1_tpxo9_atlas_30_v4','v_k1_tpxo9_atlas_30_v4',
-                'v_n2_tpxo9_atlas_30_v4','v_m2_tpxo9_atlas_30_v4',
-                'v_s2_tpxo9_atlas_30_v4','v_k2_tpxo9_atlas_30_v4',
-                'v_m4_tpxo9_atlas_30_v4','v_ms4_tpxo9_atlas_30_v4',
-                'v_mn4_tpxo9_atlas_30_v4','v_2n2_tpxo9_atlas_30_v4',
-                'v_mf_tpxo9_atlas_30_v4','v_mm_tpxo9_atlas_30_v4']
+            # add v-component if format is netcdf
+            if (self.format == 'netcdf'):
+                model_files['v'] = ['v_q1_tpxo9_atlas_30_v4',
+                    'v_o1_tpxo9_atlas_30_v4','v_p1_tpxo9_atlas_30_v4',
+                    'v_k1_tpxo9_atlas_30_v4','v_n2_tpxo9_atlas_30_v4',
+                    'v_m2_tpxo9_atlas_30_v4','v_s2_tpxo9_atlas_30_v4',
+                    'v_k2_tpxo9_atlas_30_v4','v_m4_tpxo9_atlas_30_v4',
+                    'v_ms4_tpxo9_atlas_30_v4','v_mn4_tpxo9_atlas_30_v4',
+                    'v_2n2_tpxo9_atlas_30_v4','v_mf_tpxo9_atlas_30_v4',
+                    'v_mm_tpxo9_atlas_30_v4']
+            # build model file dictionary
             self.model_file = {}
             for key,val in model_files.items():
                 self.model_file[key] = self.pathfinder(val)
@@ -829,14 +846,17 @@ def current(self, m: str):
                 'u_ms4_tpxo9_atlas_30_v5','u_mn4_tpxo9_atlas_30_v5',
                 'u_2n2_tpxo9_atlas_30_v5','u_mf_tpxo9_atlas_30_v5',
                 'u_mm_tpxo9_atlas_30_v5']
-            model_files['v'] = ['v_q1_tpxo9_atlas_30_v5','v_o1_tpxo9_atlas_30_v5',
-                'v_p1_tpxo9_atlas_30_v5','v_k1_tpxo9_atlas_30_v5',
-                'v_n2_tpxo9_atlas_30_v5','v_m2_tpxo9_atlas_30_v5',
-                'v_s1_tpxo9_atlas_30_v5','v_s2_tpxo9_atlas_30_v5',
-                'v_k2_tpxo9_atlas_30_v5','v_m4_tpxo9_atlas_30_v5',
-                'v_ms4_tpxo9_atlas_30_v5','v_mn4_tpxo9_atlas_30_v5',
-                'v_2n2_tpxo9_atlas_30_v5','v_mf_tpxo9_atlas_30_v5',
-                'v_mm_tpxo9_atlas_30_v5']
+            # add v-component if format is netcdf
+            if (self.format == 'netcdf'):
+                model_files['v'] = ['u_q1_tpxo9_atlas_30_v5',
+                    'u_o1_tpxo9_atlas_30_v5','u_p1_tpxo9_atlas_30_v5',
+                    'u_k1_tpxo9_atlas_30_v5','u_n2_tpxo9_atlas_30_v5',
+                    'u_m2_tpxo9_atlas_30_v5','u_s1_tpxo9_atlas_30_v5',
+                    'u_s2_tpxo9_atlas_30_v5','u_k2_tpxo9_atlas_30_v5',
+                    'u_m4_tpxo9_atlas_30_v5','u_ms4_tpxo9_atlas_30_v5',
+                    'u_mn4_tpxo9_atlas_30_v5','u_2n2_tpxo9_atlas_30_v5',
+                    'u_mf_tpxo9_atlas_30_v5','u_mm_tpxo9_atlas_30_v5']
+            # build model file dictionary
             self.model_file = {}
             for key,val in model_files.items():
                 self.model_file[key] = self.pathfinder(val)

diff --git a/pyTMD/spatial.py b/pyTMD/spatial.py
@@ -1,7 +1,7 @@
 #!/usr/bin/env python
 u"""
 spatial.py
-Written by Tyler Sutterley (10/2023)
+Written by Tyler Sutterley (03/2024)
 
 Utilities for reading, writing and operating on spatial data
 
@@ -22,6 +22,7 @@
     crs.py: Coordinate Reference System (CRS) routines
 
 UPDATE HISTORY:
+    Updated 03/2024: can calculate polar stereographic distortion for distances
     Updated 02/2024: changed class name for ellipsoid parameters to datum
     Updated 10/2023: can read from netCDF4 or HDF5 variable groups
         apply no formatting to columns in ascii file output
@@ -78,6 +79,7 @@
 import uuid
 import logging
 import pathlib
+import warnings
 import datetime
 import numpy as np
 import pyTMD.time
@@ -791,7 +793,8 @@ def _grid_netCDF4(fileID, output: dict, attributes: dict, **kwargs):
     crs = ['crs', 'crs_wkt', 'crs_proj4', 'projection']
     fields = sorted(set(output.keys()) - set(dimensions) - set(crs))
     # Defining the NetCDF dimensions
-    ny, nx, nt = output[fields[0]].shape
+    reference_fields = [v for v in fields if output[v].ndim == 3]
+    ny, nx, nt = output[reference_fields[0]].shape
     fileID.createDimension('y', ny)
     fileID.createDimension('x', nx)
     fileID.createDimension('time', nt)
@@ -840,7 +843,8 @@ def _time_series_netCDF4(fileID, output: dict, attributes: dict, **kwargs):
     crs = ['crs', 'crs_wkt', 'crs_proj4', 'projection']
     fields = sorted(set(output.keys()) - set(dimensions) - set(crs))
     # Defining the NetCDF dimensions
-    nstation, nt = output[fields[0]].shape
+    reference_fields = [v for v in fields if output[v].ndim == 2]
+    nstation, nt = output[reference_fields[0]].shape
     fileID.createDimension('station', nstation)
     fileID.createDimension('time', nt)
     # defining the NetCDF variables
@@ -1629,39 +1633,51 @@ def _zhu_closed_form(
     # return latitude, longitude and height
     return (lon, lat, h)
 
-def scale_areas(
+def scale_areas(*args, **kwargs):
+    warnings.warn("Deprecated. Please use pyTMD.spatial.scale_factors instead",
+        DeprecationWarning)
+    return scale_factors(*args, **kwargs)
+
+def scale_factors(
         lat: np.ndarray,
         flat: float = _wgs84.flat,
-        ref: float = 70.0
+        reference_latitude: float = 70.0,
+        metric: str = 'area'
     ):
     """
-    Calculates area scaling factors for a polar stereographic projection
-    including special case of at the exact pole [1]_ [2]_
+    Calculates scaling factors to account for polar stereographic
+    distortion including special case of at the exact pole [1]_ [2]_
 
     Parameters
     ----------
     lat: np.ndarray
         latitude (degrees north)
     flat: float, default 1.0/298.257223563
         ellipsoidal flattening
-    ref: float, default 70.0
+    reference_latitude: float, default 70.0
         reference latitude (true scale latitude)
+    metric: str, default 'area'
+        metric to calculate scaling factors
+
+            - ``'distance'``: scale factors for distance
+            - ``'area'``: scale factors for area
 
     Returns
     -------
     scale: np.ndarray
-        area scaling factors at input latitudes
+        scaling factors at input latitudes
 
     References
     ----------
     .. [1] J. P. Snyder, *Map Projections used by the U.S. Geological Survey*,
         Geological Survey Bulletin 1532, U.S. Government Printing Office, (1982).
     .. [2] JPL Technical Memorandum 3349-85-101
     """
+    assert metric.lower() in ['distance', 'area'], 'Unknown metric'
     # convert latitude from degrees to positive radians
     theta = np.abs(lat)*np.pi/180.0
     # convert reference latitude from degrees to positive radians
-    theta_ref = np.abs(ref)*np.pi/180.0
+    theta_ref = np.abs(reference_latitude)*np.pi/180.0
     # square of the eccentricity of the ellipsoid
     # ecc2 = (1-b**2/a**2) = 2.0*flat - flat^2
     ecc2 = 2.0*flat - flat**2
@@ -1678,6 +1694,10 @@ def scale_areas(
     # distance scaling
     k = (mref/m)*(t/tref)
     kp = 0.5*mref*np.sqrt(((1.0+ecc)**(1.0+ecc))*((1.0-ecc)**(1.0-ecc)))/tref
-    # area scaling
-    scale = np.where(np.isclose(theta, np.pi/2.0), 1.0/(kp**2), 1.0/(k**2))
+    if (metric.lower() == 'distance'):
+        # distance scaling
+        scale = np.where(np.isclose(theta, np.pi/2.0), 1.0/kp, 1.0/k)
+    elif (metric.lower() == 'area'):
+        # area scaling
+        scale = np.where(np.isclose(theta, np.pi/2.0), 1.0/(kp**2), 1.0/(k**2))
     return scale
diff --git a/test/model_TPXO9-atlas-v5_currents.def b/test/model_TPXO9-atlas-v5_currents.def
@@ -1,6 +1,6 @@
 format      netcdf
 name        TPXO9-atlas-v5
-model_file   TPXO9_atlas_v5/u_2n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mf_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mm_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mn4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_ms4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_o1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_p1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_q1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s2_tpxo9_atlas_30_v5.nc;TPXO9_atlas_v5/v_2n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_k1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_k2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_m2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_m4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_mf_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_mm_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_mn4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_ms4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_o1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_p1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_q1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_s1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/v_s2_tpxo9_atlas_30_v5.nc
+model_file   TPXO9_atlas_v5/u_2n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mf_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mm_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mn4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_ms4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_o1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_p1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_q1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s2_tpxo9_atlas_30_v5.nc;TPXO9_atlas_v5/u_2n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_k2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_m4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mf_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mm_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_mn4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_ms4_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_n2_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_o1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_p1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_q1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s1_tpxo9_atlas_30_v5.nc,TPXO9_atlas_v5/u_s2_tpxo9_atlas_30_v5.nc
 grid_file   TPXO9_atlas_v5/grid_tpxo9_atlas_30_v5.nc
 type        u,v
 version     v5
Original file line number	Diff line number	Diff line change
Expand Up		@@ -84,4 +84,4 @@ General Methods

		.. autofunction:: pyTMD.spatial._zhu_closed_form

		.. autofunction:: pyTMD.spatial.scale_areas
		.. autofunction:: pyTMD.spatial.scale_factors