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GC: csc2s #162

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GC: csc2s #162

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9e7756f
csc2s receipt/entry
cyschneck Dec 17, 2024
26988cb
pre-commit update
cyschneck Dec 17, 2024
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85 changes: 80 additions & 5 deletions ncl/ncl_entries/great_circle.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,8 @@
"This section covers great circle functions from NCL:\n",
"\n",
"- [area_poly_sphere](https://www.ncl.ucar.edu/Document/Functions/Built-in/area_poly_sphere.shtml)\n",
"- [css2c](https://www.ncl.ucar.edu/Document/Functions/Built-in/css2c.shtml)"
"- [css2c](https://www.ncl.ucar.edu/Document/Functions/Built-in/css2c.shtml)\n",
"- [csc2s](https://www.ncl.ucar.edu/Document/Functions/Built-in/csc2s.shtml)"
]
},
{
Expand All @@ -43,9 +44,20 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"1940855.984630871"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from pyproj import Geod\n",
"\n",
Expand Down Expand Up @@ -76,9 +88,19 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 2,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"X = -0.20171369272651396\n",
"Y = -0.7388354627678497\n",
"Z = 0.6429881376224998\n"
]
}
],
"source": [
"from astropy.coordinates.representation import UnitSphericalRepresentation\n",
"from astropy import units\n",
Expand All @@ -93,6 +115,59 @@
"print(f\"Z = {cart_coords.z.value}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## csc2s\n",
"NCL's `csc2s` converts Cartesian coordaintes to spherical (latitude/longitude) coordinates on a unit sphere"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Grab and Go"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Latitude = 40.015\n",
"Longitude = -105.27049999999997\n"
]
}
],
"source": [
"from astropy.coordinates.representation import (\n",
" CartesianRepresentation,\n",
" SphericalRepresentation,\n",
")\n",
"import numpy as np\n",
"\n",
"x = -0.20171369272651396\n",
"y = -0.7388354627678497\n",
"z = 0.6429881376224998\n",
"\n",
"cart_coords = CartesianRepresentation(x=x, y=y, z=z)\n",
"spherical_coords = cart_coords.represent_as(SphericalRepresentation)\n",
"\n",
"# convert latitude/longitude from radians to degrees\n",
"lat_deg = np.rad2deg(spherical_coords.lat.value)\n",
"lon_deg = (\n",
" np.rad2deg(spherical_coords.lon.value) + 180\n",
") % 360 - 180 # keep longitude between -180 to 180\n",
"\n",
"print(f\"Latitude = {lat_deg}\")\n",
"print(f\"Longitude = {lon_deg}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
Expand Down
20 changes: 20 additions & 0 deletions ncl/ncl_raw/great_circle.ncl
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Original file line number Diff line number Diff line change
Expand Up @@ -83,3 +83,23 @@ do lat=-90,90
end
end do
end do

; csc2s
; Adapted from https://www.ncl.ucar.edu/Document/Functions/Built-in/csc2s.shtml

; ncl -n csc2s.ncl >> csc2s_output.txt

print("Cartesian X, Cartesian Y, Cartesian Z, Latitude (Degree), Longitude (Degree)")
do lat=-90,90
do lon=-180,180
begin
cart = css2c(lat, lon)
; determine a list of xyz coordinates based on lat/lon
x = cart(0,0)
y = cart(1,0)
z = cart(2,0)
sph = csc2s(x, y, z)
print(x + "," + y + "," + z + "," + sph(0,0) + "," + sph(1,0))
end
end do
end do
140 changes: 132 additions & 8 deletions ncl/receipts/great_circle.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -25,7 +25,8 @@
"source": [
"## Functions covered\n",
"- [area_poly_sphere](https://www.ncl.ucar.edu/Document/Functions/Built-in/area_poly_sphere.shtml)\n",
"- [css2c](https://www.ncl.ucar.edu/Document/Functions/Built-in/css2c.shtml)"
"- [css2c](https://www.ncl.ucar.edu/Document/Functions/Built-in/css2c.shtml)\n",
"- [csc2s](https://www.ncl.ucar.edu/Document/Functions/Built-in/csc2s.shtml)"
]
},
{
Expand Down Expand Up @@ -64,7 +65,7 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"id": "2ba99b37-a743-4776-bc7b-d5a08b977642",
"metadata": {},
"outputs": [],
Expand Down Expand Up @@ -133,7 +134,7 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 2,
"id": "35abde81-5843-4504-8e32-a137ee1aa094",
"metadata": {},
"outputs": [],
Expand All @@ -147,13 +148,13 @@
"css2c_data = np.loadtxt(css2c_data, delimiter=',', skiprows=6)\n",
"\n",
"lat_lon = tuple(map(tuple, (css2c_data[::, 0:2])))\n",
"cart_values = css2c_data[::, 2:]\n",
"cart_values = tuple(css2c_data[::, 2:])\n",
"ncl_css2c = dict(zip(lat_lon, cart_values))"
]
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 3,
"id": "ee104ea1-e287-4635-b404-5b06ccfb6949",
"metadata": {},
"outputs": [],
Expand All @@ -175,6 +176,62 @@
" astropy_css2c[pair] = cart_coords.xyz.value"
]
},
{
"cell_type": "markdown",
"id": "399d047d-f22c-41cf-996d-d84e1f5b096c",
"metadata": {},
"source": [
"### csc2s"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5ae18411-506d-455c-867e-50273bfff7e2",
"metadata": {},
"outputs": [],
"source": [
"import geocat.datafiles as gdf\n",
"from astropy.coordinates.representation import (\n",
" CartesianRepresentation,\n",
" SphericalRepresentation,\n",
")\n",
"import numpy as np\n",
"\n",
"# csc2s_data = gdf.get('applications_files/ncl_outputs/csc2s_output.txt')\n",
"csc2s_data = np.loadtxt(\"../ncl_raw/csc2s_output.txt\", delimiter=',', skiprows=6)\n",
"\n",
"cart_values = csc2s_data[::, 0:3]\n",
"lat_lon = tuple(map(tuple, (csc2s_data[::, 3:])))\n",
"ncl_csc2s = dict(zip(lat_lon, cart_values))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "043a0ec3-e0a2-4c6e-952d-1d459237a1f4",
"metadata": {},
"outputs": [],
"source": [
"## Calculate Spherical coordinates\n",
"def spherical_cart(x, y, z):\n",
" cart_coords = CartesianRepresentation(x=x, y=y, z=z)\n",
" spherical_coords = cart_coords.represent_as(SphericalRepresentation)\n",
" # convert latitude/longitude from radians to degrees\n",
" lat_deg = np.rad2deg(spherical_coords.lat.value)\n",
" lon_deg = (\n",
" np.rad2deg(spherical_coords.lon.value) + 180\n",
" ) % 360 - 180 # keep longitude between -180 to 180\n",
" return (lat_deg, lon_deg)\n",
"\n",
"\n",
"astropy_csc2s = {}\n",
"for xyz in cart_values:\n",
" x, y, z = xyz\n",
" lat_lon = spherical_cart(x, y, z)\n",
" astropy_csc2s[tuple(xyz)] = lat_lon"
]
},
{
"cell_type": "markdown",
"id": "3237a0bffc6827fc",
Expand Down Expand Up @@ -204,10 +261,57 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"id": "74362fd9-0e9f-4cf9-91da-08cd81be625c",
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"VALID:\n",
"\tBoulder, Boston, Houston: \n",
"\tncl:\t\t1940856\n",
"\tpython:\t\t1940855.984630871\n",
"\n",
"VALID:\n",
"\tFour Corners of Colorado: \n",
"\tncl:\t\t250007.6\n",
"\tpython:\t\t250007.81588628562\n",
"\n",
"VALID:\n",
"\tCaltech, Alberta, Greenwich, Paris, Madrid: \n",
"\tncl:\t\t11634800\n",
"\tpython:\t\t11634798.025760762\n",
"\n",
"VALID:\n",
"\tCrossing the Equator: \n",
"\tncl:\t\t114894.8\n",
"\tpython:\t\t114894.73868013734\n",
"\n",
"VALID:\n",
"\tCrossing the Prime Meridian: \n",
"\tncl:\t\t54450.39\n",
"\tpython:\t\t54450.41832867822\n",
"\n",
"VALID:\n",
"\tHalf of the World: \n",
"\tncl:\t\t255032000\n",
"\tpython:\t\t255031995.77390912\n",
"\n",
"INVALID:\n",
"\tSingle Point -> Invalid NCL: \n",
"\t\tncl:\t\t-127516000\n",
"\t\tpython:\t\t0.0\n",
"\n",
"VALID:\n",
"\tSingle Degree: \n",
"\tncl:\t\t9401.705\n",
"\tpython:\t\t9401.704877506347\n",
"\n"
]
}
],
"source": [
"for key in ncl_results.keys():\n",
" if key in python_results.keys() and key in python_results.keys():\n",
Expand Down Expand Up @@ -236,7 +340,7 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 7,
"id": "d5738d2d-5abe-4ed4-8e90-c42881c2bfb0",
"metadata": {},
"outputs": [],
Expand All @@ -247,6 +351,26 @@
" assert abs(ncl_css2c[key][1] - astropy_css2c[key][1]) < 0.000005\n",
" assert abs(ncl_css2c[key][2] - astropy_css2c[key][2]) < 0.000005"
]
},
{
"cell_type": "markdown",
"id": "90d7474d-60fb-4c22-8191-a120560174af",
"metadata": {},
"source": [
"### csc2s"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "53360a09-f1f3-4b0f-b7b4-9501aa5c92e1",
"metadata": {},
"outputs": [],
"source": [
"for i, key in enumerate(ncl_csc2s.keys()):\n",
" assert abs(key[0] - astropy_csc2s[list(astropy_csc2s.keys())[i]][0]) < 0.0005\n",
" assert abs(key[1] - astropy_csc2s[list(astropy_csc2s.keys())[i]][1]) < 0.0005"
]
}
],
"metadata": {
Expand Down
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