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Created July 15, 2023 00:19
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Cubed Sphere Mesh Generation and Plotting
from itertools import product
import numpy as np
INV_SQRT_3 = 1.0 / np.sqrt(3.0)
ASIN_INV_SQRT_3 = np.arcsin(INV_SQRT_3)
def gaussian_bell(xs, ys, xc=0., yc=0., xsigma=1., ysigma=1.):
""" Compute a 2D Gaussian with asymmetric standard deviations and
arbitrary center.
.. math::
Z = \exp{\left[\frac{(x - x_c)^2}{2\sigma_x} + \frac{(y - y_c)^2}{2\sigma_y}\right]}
Parameters
----------
{x,y}s : array-like of floats
x- and y-coordinates where the function should be calculated. Can be
arbitrary shape as long as they both match.
{x,y}c : float
coordinates corresponding to center of bell.
{x,y}sigma : float
width/standard deviation (σ) of distribution in each coordinate direction.
Returns
-------
Z evaluated at the given coordinates.
"""
expon = ((xs - xc)**2)/2./xsigma + ((ys - yc)**2)/2./ysigma
return np.exp(-expon)
def multi_wave(lons, lats, nx=2, ny=1):
""" Compute an arbitrary zonally/meridionally varying wave.
.. math::
Z = \cos{\frac{n_x \lambda}{T_\lambda}} + 2\frac{\phi - \bar{\phi}}{\mathrm{std}(\phi)}
"""
Tx = 360. / 2. * np.pi
Ty = 180. / 2. * np.pi
# return np.sin(nx*lons/Tx + np.cos(lats/Ty)) #+ np.cos(ny*lats/Ty)
return np.cos(nx*lons/Tx) + 2*(lats - np.mean(lats))/lats.std()
def close(x, y, thresh=5):
return np.abs(x - y) < 10**(-thresh)
def shift_lons(lons):
new_lons = np.empty_like(lons)
mask = lons > 180
new_lons[mask] = -(360. - lons[mask])
new_lons[~mask] = lons[~mask]
lons = new_lons.copy()
return lons
def latlon_to_cartesian(lon, lat):
""" Convert latitude/longitude coordinates along the unit sphere to cartesian coordinates
defined by a vector pointing from the sphere's center to its surface.
Parameters
----------
lon, lat : float
Longitude and latitude coordinates in radians
Returns
-------
Cartesian coordinate components x, y, z
"""
x = np.cos(lat) * np.cos(lon)
y = np.cos(lat) * np.sin(lon)
z = np.sin(lat)
return x, y, z
vec_latlon_to_cartesian = np.vectorize(latlon_to_cartesian)
def cartesian_to_latlon(x, y, z, ret_xyz=False):
""" Convert a cartesian coordinate to latitude/longitude coordinates."""
xyz = np.array([x, y, z])
vector_length = np.sqrt(np.sum(xyz*xyz, axis=0))
xyz /= vector_length
x, y, z = xyz
if (np.abs(x) + np.abs(y)) < 1e-20:
lon = 0.
else:
lon = np.arctan2(y, x)
if lon < 0.:
lon += 2*np.pi
lat = np.arcsin(z)
# If not normalizing vector, take lat = np.arcsin(z/vector_length)
if ret_xyz:
return lon, lat, xyz
else:
return lon, lat
vec_cartesian_to_latlon = np.vectorize(cartesian_to_latlon)
def spherical_to_cartesian(theta, phi, r=1):
x = r * np.cos(phi) * np.cos(theta)
y = r * np.cos(phi) * np.sin(theta)
z = r * np.sin(phi)
return x, y, z
vec_spherical_to_cartesian = np.vectorize(spherical_to_cartesian)
def cartesian_to_spherical(x, y, z):
r = np.sqrt(x**2 + y**2 + z**2)
#theta = np.arccos(z / r)
theta = np.arctan2(y, x)
phi = np.arctan2(z, np.sqrt(x**2 + y**2))
# if np.abs(x) < 1e-16:
# phi = np.pi
# else:
# phi = np.arctan(y / x)
return theta, phi, r
vec_cartesian_to_spherical = np.vectorize(cartesian_to_spherical)
def rotate_sphere_3D(theta, phi, r, rot_ang, rot_axis='x'):
cos_ang = np.cos(rot_ang)
sin_ang = np.sin(rot_ang)
# print(rot_axis, cos_ang, sin_ang)
x, y, z = spherical_to_cartesian(theta, phi, r)
if rot_axis == 'x':
x_new = x
y_new = cos_ang*y + sin_ang*z
z_new = -sin_ang*y + cos_ang*z
elif rot_axis == 'y':
x_new = cos_ang*x - sin_ang*z
y_new = y
z_new = sin_ang*x + cos_ang*z
elif rot_axis == 'z':
x_new = cos_ang*x + sin_ang*y
y_new = -sin_ang*x + cos_ang*y
z_new = z
# print(x, x_new)
# print(y, y_new)
# print(z, z_new)
theta_new, phi_new, r_new = cartesian_to_spherical(x_new, y_new, z_new)
# print()
# print(theta, theta_new)
# print(phi, phi_new)
# print(r, r_new)
return theta_new, phi_new, r_new
class CSGrid(object):
def __init__(self, c, offset=None):
self.c = c
self.delta_y = 2. * ASIN_INV_SQRT_3 / c
self.nx = self.ny = c + 1
self.offset = offset
self._initialize()
def _initialize(self):
c = self.c
nx, ny = self.nx, self.ny
lambda_rad = np.zeros((nx, ny))
lambda_rad[ 0, :] = 3.*np.pi/4. # West edge
lambda_rad[-1, :] = 5.*np.pi/4. # East edge
theta_rad = np.zeros((nx, ny))
theta_rad[ 0, :] = -ASIN_INV_SQRT_3 + (self.delta_y*np.arange(c+1)) # West edge
theta_rad[-1, :] = theta_rad[0, :] # East edge
# Cache the reflection points - our upper-left and lower-right corners
lonMir1, lonMir2 = lambda_rad[0, 0], lambda_rad[-1, -1]
latMir1, latMir2 = theta_rad[0, 0], theta_rad[-1, -1]
xyzMir1 = latlon_to_cartesian(lonMir1, latMir1)
xyzMir2 = latlon_to_cartesian(lonMir2, latMir2)
xyzCross = np.cross(xyzMir1, xyzMir2)
norm = np.sqrt(np.sum(xyzCross**2))
xyzCross /= norm
for i in range(1, c):
lonRef, latRef = lambda_rad[0, i], theta_rad[0, i]
xyzRef = np.asarray(latlon_to_cartesian(lonRef, latRef, ))
xyzDot = np.sum(xyzCross*xyzRef)
xyzImg = xyzRef - (2. * xyzDot * xyzCross)
xsImg, ysImg, zsImg = xyzImg
lonImg, latImg = cartesian_to_latlon(xsImg, ysImg, zsImg)
lambda_rad[i, 0] = lonImg
lambda_rad[i, -1] = lonImg
theta_rad[i, 0] = latImg
theta_rad[i, -1] = -latImg
pp = np.zeros([3, c+1, c+1])
# Set the four corners
print("CORNERS")
for i, j in product([0, -1], [0, -1]):
# print(i, j)
pp[:, i, j] = latlon_to_cartesian(lambda_rad[i, j], theta_rad[i, j])
# Map the edges on the sphere back to the cube. Note that all intersections are at x = -rsq3
print("EDGES")
for ij in range(1, c+1):
# print(ij)
pp[:, 0, ij] = latlon_to_cartesian(lambda_rad[0, ij], theta_rad[0, ij])
pp[1, 0, ij] = -pp[1, 0, ij] * INV_SQRT_3 / pp[0, 0, ij]
pp[2, 0, ij] = -pp[2, 0, ij] * INV_SQRT_3 / pp[0, 0, ij]
pp[:, ij, 0] = latlon_to_cartesian(lambda_rad[ij, 0], theta_rad[ij, 0])
pp[1, ij, 0] = -pp[1, ij, 0] * INV_SQRT_3 / pp[0, ij, 0]
pp[2, ij, 0] = -pp[2, ij, 0] * INV_SQRT_3 / pp[0, ij, 0]
# # Map interiors
pp[0, :, :] = -INV_SQRT_3
print("INTERIOR")
for i in range(1, c+1):
for j in range(1, c+1):
# Copy y-z face of the cube along j=1
pp[1, i, j] = pp[1, i, 0]
# Copy along i=1
pp[2, i, j] = pp[2, 0, j]
_pp = pp.copy()
llr, ttr = vec_cartesian_to_latlon(_pp[0], _pp[1], _pp[2])
lambda_rad, theta_rad = llr.copy(), ttr.copy()
# Make grid symmetrical to i = im/2 + 1
for j in range(1, c+1):
for i in range(1, c+1):
# print("({}, {}) -> ({}, {})".format(i, 0, i, j))
lambda_rad[i, j] = lambda_rad[i, 0]
for j in range(c+1):
for i in range(c//2):
isymm = c - i
# print(isymm)
avgPt = 0.5*(lambda_rad[i, j] - lambda_rad[isymm, j])
# print(lambda_rad[i, j], lambda_rad[isymm, j], avgPt)
lambda_rad[i, j] = avgPt + np.pi
lambda_rad[isymm, j] = np.pi - avgPt
avgPt = 0.5*(theta_rad[i, j] + theta_rad[isymm, j])
theta_rad[i, j] = avgPt
theta_rad[isymm, j] = avgPt
# Make grid symmetrical to j = im/2 + 1
for j in range(c//2):
jsymm = c - j
for i in range(1, c+1):
avgPt = 0.5*(lambda_rad[i, j] + lambda_rad[i, jsymm])
lambda_rad[i, j] = avgPt
lambda_rad[i, jsymm] = avgPt
avgPt = 0.5*(theta_rad[i, j] - theta_rad[i, jsymm])
theta_rad[i, j] = avgPt
theta_rad[i, jsymm] = -avgPt
# Final correction
lambda_rad -= np.pi
llr, ttr = lambda_rad.copy(), theta_rad.copy()
#######################################################################
## MIRROR GRIDS
#######################################################################
new_xgrid = np.zeros((c+1, c+1, 6))
new_ygrid = np.zeros((c+1, c+1, 6))
xgrid = llr.copy()
ygrid = ttr.copy()
new_xgrid[..., 0] = xgrid.copy()
new_ygrid[..., 0] = ygrid.copy()
# radius = 6370.0e3
radius = 1.
for face in range(1, 6):
for j in range(c+1):
for i in range(c+1):
x = xgrid[i, j]
y = ygrid[i, j]
z = radius
if face == 1:
# Rotate about z only
new_xyz = rotate_sphere_3D(x, y, z, -np.pi/2., 'z')
elif face == 2:
# Rotate about z, then x
temp_xyz = rotate_sphere_3D(x, y, z, -np.pi/2., 'z')
x, y, z = temp_xyz[:]
new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'x')
elif face == 3:
temp_xyz = rotate_sphere_3D(x, y, z, np.pi, 'z')
x, y, z = temp_xyz[:]
new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'x')
if ((c % 2) != 0) and (j == c//2 - 1):
print(i, j, face)
new_xyz[0] = np.pi
elif face == 4:
temp_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'z')
x, y, z = temp_xyz[:]
new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'y')
elif face == 5:
temp_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'y')
x, y, z = temp_xyz[:]
new_xyz = rotate_sphere_3D(x, y, z, 0., 'z')
# print((x, y, z), "\n", new_xyz, "\n" + "--"*40)
new_x, new_y, _ = new_xyz
new_xgrid[i, j, face] = new_x
new_ygrid[i, j, face] = new_y
lon_edge, lat_edge = new_xgrid.copy(), new_ygrid.copy()
#######################################################################
## CLEANUP GRID
#######################################################################
if self.offset is not None:
lon_edge = lon_edge - self.offset
for i, j, f in product(range(c+1), range(c+1), range(6)):
new_lon = lon_edge[i, j, f]
if new_lon < 0:
new_lon+= 2*np.pi
if np.abs(new_lon) < 1e-10:
new_lon = 0.
lon_edge[i, j, f] = new_lon
if np.abs(lat_edge[i, j, f]) < 1e-10:
lat_edge[i, j, f] = 0.
lon_edge_deg = np.rad2deg(lon_edge)
lat_edge_deg = np.rad2deg(lat_edge)
#######################################################################
## COMPUTE CELL CENTROIDS
#######################################################################
lon_ctr = np.zeros((c, c, 6))
lat_ctr = np.zeros((c, c, 6))
xyz_ctr = np.zeros((3, c, c, 6))
xyz_edge = np.zeros((3, c+1, c+1, 6))
for f in range(6):
for i in range(c):
last_x = (i == (c-1))
for j in range(c):
last_y = (j == (c-1))
# Get the four corners
lat_corner = [lat_edge[ i, j, f], lat_edge[i+1, j, f],
lat_edge[i+1, j+1, f], lat_edge[ i, j+1, f]]
lon_corner = [lon_edge[ i, j, f], lon_edge[i+1, j, f],
lon_edge[i+1, j+1, f], lon_edge[ i, j+1, f]]
# Convert from lat-lon back to cartesian
xyz_corner = np.asarray(vec_latlon_to_cartesian(lon_corner, lat_corner))
# Store the edge information
xyz_edge[:, i, j, f] = xyz_corner[:, 0]
if last_x:
xyz_edge[:, i+1, j, f] = xyz_corner[:, 1]
if last_x or last_y:
xyz_edge[:, i+1, j+1, f] = xyz_corner[:, 2]
if last_y:
xyz_edge[:, i, j+1, f] = xyz_corner[:, 3]
e_mid = np.sum(xyz_corner, axis=1)
e_abs = np.sqrt(np.sum(e_mid * e_mid))
if e_abs > 0:
e_mid = e_mid / e_abs
xyz_ctr[:, i, j, f] = e_mid
_lon, _lat = cartesian_to_latlon(*e_mid)
lon_ctr[i, j, f] = _lon
lat_ctr[i, j, f] = _lat
lon_ctr_deg = np.rad2deg(lon_ctr)
lat_ctr_deg = np.rad2deg(lat_ctr)
#######################################################################
## CACHE
#######################################################################
self.lon_center = lon_ctr_deg
self.lat_center = lat_ctr_deg
self.lon_edge = lon_edge_deg
self.lat_edge = lat_edge_deg
self.xyz_center = xyz_ctr
self.xyz_edge = xyz_edge
Display the source blob
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"text": [
"/Users/daniel/anaconda/lib/python3.5/site-packages/xarray/core/formatting.py:16: FutureWarning: The pandas.tslib module is deprecated and will be removed in a future version.\n",
" from pandas.tslib import OutOfBoundsDatetime\n"
]
}
],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use(['seaborn-ticks', 'seaborn-talk'])\n",
"\n",
"# OPTIONAL - MayaVI\n",
"# Can be installed using -c menpo conda channel. Then, need to install nbextension:\n",
"# jupyter nbextension install --py mayavi --user\n",
"# from mayavi import mlab\n",
"# mlab.init_notebook()\n",
"\n",
"import numpy as np\n",
"import xarray as xr\n",
"\n",
"from scipy.io import loadmat\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Constructing Cubed-Sphere Meshes in Python\n",
"\n",
"## Grid Mathematics\n",
"\n",
"The \"original\" working paper on cubed-sphere dycores is [Putnam and Lin, 2007](http://dx.doi.org/10.1016/j.jcp.2007.07.022) (PL07). PL07 define a given grid resolution in the form $cM$, where $M$ is the number of grid cells along each edge of a given face of a cubed-sphere. This leads to a total grid resolution of $M\\times M\\times 6$. GMAO/GCHP adopt the same generical configuration.\n",
"\n",
"A cubed-sphere grid geometry is uniquely defined by the locations of the vertices of each grid cell; from this, we can derive $\\Delta \\mathcal{A}$ (the cell areas), $\\Delta x$ and $\\Delta y$ (the grid lengths in each cartesian direction, and $\\sin \\alpha$ which is a non-orthogonal metric factor ($\\alpha$ is the angle formed at the intersection of the coordinates connecting any finite-volume vertices.\n",
"\n",
"Cell areas are computed from the internal angles of each 4-sided spherical quadratilateral on a mesh level surface, as well as the sphere radius ($R$): \n",
"\n",
"$$\\Delta \\mathcal{A} = R^2\\left[\\alpha_1 + \\alpha_2 + \\alpha_3 + \\alpha_4 - 2\\pi\\right]$$\n",
"\n",
"We define *cell edges* to be great cirlce arcs, which lets us compute $\\Delta x$ and $\\Delta y$ directly from great circle distances $\\delta h$. These can be directly computed from the [spherical law of cosines](https://en.wikipedia.org/wiki/Spherical_law_of_cosines) applied to points on the sphere $(\\lambda_1,\\theta_1)$ and $(\\lambda_2,\\theta_2)$ as\n",
"\n",
"$$\\delta h = R \\arccos\\left[\\cos\\theta_1 cos\\theta_2 \\cos{(\\lambda_1 - \\lambda_2)} + \\sin\\theta_1\\sin\\theta_2\\right]$$\n",
"\n",
"Alternatively, to avoid rounding errors for small angles (critical for high-resolution meshes), we can use the haversine formula\n",
"\n",
"$$\\delta h= 2R \\arcsin\n",
"\\left[\n",
" \\sqrt{\n",
" \\sin^2\\left( \\frac{\\theta_2 - \\theta_1}{2} \\right) + \n",
" \\cos\\theta_1 \\cos\\theta_2 \\sin^2\\left(\\frac{\\lambda_2 - \\lambda_1}{2} \\right)\n",
" }\n",
" \\right]$$\n",
"\n"
]
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"source": [
"## Gnomonic Projection\n",
"\n",
"To try to reduce the variance in grid cell areas, we use an equidistant gnomonic projection of the cubed sphere. This involves inscribing a cube within a sphere and then projecting it to define a local cartesian coordinate system.\n",
"\n",
"I've adapted the `gnomonicED` and related methods from Seb's [`CSGridUtils`](https://bitbucket.org/gcst/csgrid/src/ff14ee46e3ee61bc1d32bac8650f20c6aa2e5587/gridUtils/CSGridUtils/gnomonicGrids.m?at=master&fileviewer=file-view-default) for this purpose. But I'll re-document as a I go along so that I can re-construct a minimal-form stand-alone utility after it is working.\n",
"\n",
"We'll construct one face, and then mirror it for the others. We really only have one variable, which is the number of cells per grid edge, here as **c**. Then, we have a few constants relating to the solid angle projecting the the inscribed cube face to the sphere surrounding it."
]
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"source": [
"import numpy as np\n",
"\n",
"c = 24\n",
"inv_sqrt_3 = 1.0 / np.sqrt(3.0)\n",
"asin_inv_sqrt_3 = np.arcsin(inv_sqrt_3)\n",
"\n",
"delta_y = 2.*asin_inv_sqrt_3 / c"
]
},
{
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"metadata": {
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"source": [
"Next, we set up the ranges for the spherical coordinate components for each face, $\\lambda$ and $\\theta$. From west to east, we span the range $\\frac{3}{4}\\pi$ to $\\frac{5}{4}\\pi$. The latitudinal coordinate is constant from edge to edge. We assume we're looking at one of the \"centered\" faces (contains the equator); this means that our top and bottom latitude corners are $\\pm \\arcsin\\left(\\frac{1}{\\sqrt{3}}\\right)$.\n",
"\n",
"### Compute Face\n",
"\n",
"We begin by defining the East-West edges. For $\\lambda$ this is simple; we have constant longitude at each edge. For $\\theta$ it's a bit trickier; we're just computing equi-distant latitudes."
]
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"source": [
"nx, ny = c+1, c+1\n",
"\n",
"lambda_rad = np.zeros((nx, ny))\n",
"lambda_rad[ 0, :] = 3.*np.pi/4. # West edge\n",
"lambda_rad[-1, :] = 5.*np.pi/4. # East edge\n",
"\n",
"theta_rad = np.zeros((nx, ny))\n",
"theta_rad[ 0, :] = -asin_inv_sqrt_3 + (delta_y*np.arange(c+1)) # West edge\n",
"theta_rad[-1, :] = theta_rad[0, :] # East edge"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
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"source": [
"We can now grab the north-south edges based on symmetry. First we need a helper function to compute latitude longitude\n",
"coordinates to cartesian coordinates defined by a vector pointing from the unit sphere's center to its surface."
]
},
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{
"data": {
"text/plain": [
"(2.5285161744275642, -0.68554972684980509)"
]
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"source": [
"def latlon_to_cartesian(lon, lat):\n",
" \"\"\" Convert latitude/longitude coordinates along the unit sphere to cartesian coordinates\n",
" defined by a vector pointing from the sphere's center to its surface. \n",
" \n",
" Parameters\n",
" ----------\n",
" lon, lat : float\n",
" Longitude and latitude coordinates in radians\n",
" \n",
" Returns\n",
" -------\n",
" Cartesian coordinate components x, y, z\n",
" \n",
" \"\"\"\n",
" \n",
" x = np.cos(lat) * np.cos(lon)\n",
" y = np.cos(lat) * np.sin(lon)\n",
" z = np.sin(lat)\n",
" \n",
" return x, y, z\n",
"vec_latlon_to_cartesian = np.vectorize(latlon_to_cartesian)\n",
"\n",
"def cartesian_to_latlon(x, y, z, ret_xyz=False):\n",
" \"\"\" Convert a cartesian coordinate to latitude/longitude coordinates.\"\"\"\n",
" \n",
" xyz = np.array([x, y, z])\n",
" vector_length = np.sqrt(np.sum(xyz*xyz, axis=0))\n",
" xyz /= vector_length\n",
" x, y, z = xyz\n",
" \n",
" if (np.abs(x) + np.abs(y)) < 1e-20:\n",
" lon = 0.\n",
" else:\n",
" lon = np.arctan2(y, x) \n",
" if lon < 0.:\n",
" lon += 2*np.pi\n",
" \n",
" lat = np.arcsin(z)\n",
" # If not normalizing vector, take lat = np.arcsin(z/vector_length)\n",
" \n",
" if ret_xyz:\n",
" return lon, lat, xyz\n",
" else:\n",
" return lon, lat\n",
"vec_cartesian_to_latlon = np.vectorize(cartesian_to_latlon)\n",
"\n",
"cartesian_to_latlon(-0.57735027, 0.40617056, -0.57735027)"
]
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{
"cell_type": "code",
"execution_count": 530,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# Cache the reflection points - our upper-left and lower-right corners\n",
"lonMir1, lonMir2 = lambda_rad[0, 0], lambda_rad[-1, -1]\n",
"latMir1, latMir2 = theta_rad[0, 0], theta_rad[-1, -1]\n",
"\n",
"xyzMir1 = latlon_to_cartesian(lonMir1, latMir1)\n",
"xyzMir2 = latlon_to_cartesian(lonMir2, latMir2)\n",
"\n",
"xyzCross = np.cross(xyzMir1, xyzMir2)\n",
"norm = np.sqrt(np.sum(xyzCross**2))\n",
"xyzCross /= norm\n",
"\n",
"for i in range(1, c):\n",
" \n",
" lonRef, latRef = lambda_rad[0, i], theta_rad[0, i]\n",
" xyzRef = np.asarray(latlon_to_cartesian(lonRef, latRef, ))\n",
"\n",
" xyzDot = np.sum(xyzCross*xyzRef)\n",
" xyzImg = xyzRef - (2. * xyzDot * xyzCross)\n",
"\n",
" xsImg, ysImg, zsImg = xyzImg\n",
" lonImg, latImg = cartesian_to_latlon(xsImg, ysImg, zsImg)\n",
"\n",
" lambda_rad[i, 0] = lonImg\n",
" lambda_rad[i, -1] = lonImg\n",
" theta_rad[i, 0] = latImg\n",
" theta_rad[i, -1] = -latImg"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Now with the latitude and longitudes of our edge coordinates computed, we move on to infill the rest of the cubed sphere mesh."
]
},
{
"cell_type": "code",
"execution_count": 531,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CORNERS\n",
"EDGES\n",
"INTERIOR\n"
]
}
],
"source": [
"from itertools import product\n",
"pp = np.zeros([3, c+1, c+1])\n",
"\n",
"# Set the four corners\n",
"print(\"CORNERS\")\n",
"for i, j in product([0, -1], [0, -1]):\n",
" # print(i, j)\n",
" pp[:, i, j] = latlon_to_cartesian(lambda_rad[i, j], theta_rad[i, j])\n",
" \n",
"# Map the edges on the sphere back to the cube. Note that all intersections are at x = -rsq3\n",
"print(\"EDGES\")\n",
"for ij in range(1, c+1):\n",
" # print(ij)\n",
" pp[:, 0, ij] = latlon_to_cartesian(lambda_rad[0, ij], theta_rad[0, ij])\n",
" pp[1, 0, ij] = -pp[1, 0, ij] * inv_sqrt_3 / pp[0, 0, ij]\n",
" pp[2, 0, ij] = -pp[2, 0, ij] * inv_sqrt_3 / pp[0, 0, ij]\n",
" \n",
" pp[:, ij, 0] = latlon_to_cartesian(lambda_rad[ij, 0], theta_rad[ij, 0])\n",
" pp[1, ij, 0] = -pp[1, ij, 0] * inv_sqrt_3 / pp[0, ij, 0]\n",
" pp[2, ij, 0] = -pp[2, ij, 0] * inv_sqrt_3 / pp[0, ij, 0] \n",
"\n",
"# # Map interiors\n",
"pp[0, :, :] = -inv_sqrt_3\n",
"print(\"INTERIOR\")\n",
"for i in range(1, c+1):\n",
" for j in range(1, c+1):\n",
" # Copy y-z face of the cube along j=1\n",
" pp[1, i, j] = pp[1, i, 0]\n",
" # Copy along i=1\n",
" pp[2, i, j] = pp[2, 0, j]"
]
},
{
"cell_type": "code",
"execution_count": 532,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"try:\n",
" data = loadmat('pp_c{}.mat'.format(c))\n",
" pp_ref = data['pp']\n",
"\n",
" diff = pp - pp_ref\n",
" fig, axs = plt.subplots(1, 3, figsize=(12, 3))\n",
" for i, ax in enumerate(axs):\n",
" print(np.max(diff[i]))\n",
" cf = ax.pcolormesh(diff[i].T, vmin=-2*np.pi, vmax=2*np.pi, cmap='bwr')\n",
" fig.colorbar(cf, ax=list(axs))\n",
" axs[1].set_title(\"Difference in pp\")\n",
"except:\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Next we convert our cartesian grid cell vertices back to lat-lon coordinates.\n",
"\n",
"For equidistant gnomonic grids, Seb applies an additional correction factor to ensure symmetry on either side of the center of each face; we'll apply those calculations here (**symmED**). They re-center the grid coordinates about 0 for each axis."
]
},
{
"cell_type": "code",
"execution_count": 533,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"_pp = pp.copy()\n",
"llr, ttr = vec_cartesian_to_latlon(_pp[0], _pp[1], _pp[2])\n",
"\n",
"lambda_rad, theta_rad = llr.copy(), ttr.copy()\n",
"\n",
"# Make grid symmetrical to i = im/2 + 1\n",
"for j in range(1, c+1):\n",
" for i in range(1, c+1):\n",
" # print(\"({}, {}) -> ({}, {})\".format(i, 0, i, j))\n",
" lambda_rad[i, j] = lambda_rad[i, 0]\n",
" \n",
"for j in range(c+1):\n",
" for i in range(c//2):\n",
" isymm = c - i\n",
" # print(isymm)\n",
" avgPt = 0.5*(lambda_rad[i, j] - lambda_rad[isymm, j])\n",
" # print(lambda_rad[i, j], lambda_rad[isymm, j], avgPt)\n",
" lambda_rad[i, j] = avgPt + np.pi\n",
" lambda_rad[isymm, j] = np.pi - avgPt\n",
" \n",
" avgPt = 0.5*(theta_rad[i, j] + theta_rad[isymm, j])\n",
" theta_rad[i, j] = avgPt\n",
" theta_rad[isymm, j] = avgPt\n",
" \n",
"# Make grid symmetrical to j = im/2 + 1\n",
"for j in range(c//2):\n",
" jsymm = c - j\n",
" for i in range(1, c+1):\n",
" avgPt = 0.5*(lambda_rad[i, j] + lambda_rad[i, jsymm])\n",
" lambda_rad[i, j] = avgPt \n",
" lambda_rad[i, jsymm] = avgPt\n",
" \n",
" avgPt = 0.5*(theta_rad[i, j] - theta_rad[i, jsymm])\n",
" theta_rad[i, j] = avgPt\n",
" theta_rad[i, jsymm] = -avgPt\n",
"\n",
"# Final correction\n",
"lambda_rad -= np.pi\n",
" \n",
"llr, ttr = lambda_rad.copy(), theta_rad.copy()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Check versus a reference calculation in MATLAB"
]
},
{
"cell_type": "code",
"execution_count": 534,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"try:\n",
" data = loadmat('llr_ttr_c{}.mat'.format(c))\n",
" llr_ref = data['lambdaRad']\n",
" ttr_ref = data['thetaRad']\n",
"\n",
" print(np.max(llr - llr_ref))\n",
" print(np.max(ttr - ttr_ref))\n",
"\n",
" kwargs = dict(vmin=-2*np.pi, vmax=2*np.pi, cmap='bwr')\n",
" fig, axs = plt.subplots(1, 2, figsize=(12, 3))\n",
" cf = axs[0].pcolormesh((llr - llr_ref).T, **kwargs)\n",
" axs[0].set_title(\"lambdas\")\n",
" cf = axs[1].pcolormesh((ttr - ttr_ref).T, **kwargs)\n",
" axs[1].set_title(\"thetas\")\n",
" fig.colorbar(cf, ax=list(axs))\n",
"except:\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"source": [
"```python\n",
"for i, j in product(range(c+1), range(c+1)):\n",
" print(\"({}, {})\".format(i, j))\n",
" print(pp[:, i, j], pp_ref[:, i, j])\n",
" \n",
" _ll, _tt = cartesian_to_latlon(*pp_ref[:, i, j])\n",
" _ll -= np.pi\n",
" if not close(_ll, llr_ref[i, j]) or not close(_tt, ttr_ref[i, j]):\n",
" print(pp[:, i, j])\n",
" print(_ll, _tt, )\n",
" print(llr_ref[i, j], ttr_ref[i, j]) \n",
" print(\"\\n\" + \"++\" * 40 + \"\\n\")\n",
" _ll, _tt = cartesian_to_latlon(*pp[:, i, j])\n",
" _ll -= np.pi\n",
" if not close(_ll, llr_ref[i, j]) or not close(_tt, ttr_ref[i, j]):\n",
" print(pp[:, i, j])\n",
" print(_ll, _tt, )\n",
" print(llr_ref[i, j], ttr_ref[i, j])\n",
" print(\"--\"*40)\n",
"``` "
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"### Compare w/ CSGridUtils\n",
"\n",
"I ran the same calculation on Seb's original MATLAB code for reference. Let's plot our two grids to see how different they are."
]
},
{
"cell_type": "code",
"execution_count": 535,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.0, 1.0)"
]
},
"execution_count": 535,
"metadata": {},
"output_type": "execute_result"
},
{
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bMlkAYWDsST9i95WR44WHwg+mli9frgMHDvhuRmr0SDoy8v+PjPzc6K85GCW2ZbJZ5ePz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\nfgAAAADgcgQ/AAAAAHC5/wEQUFKaIfDuoAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e1ac5c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.io import loadmat\n",
"\n",
"plt.figure()\n",
"plt.scatter(llr.ravel(), ttr.ravel(), color='k', marker='s', s=20)\n",
"plt.scatter(llr_ref.ravel(), ttr_ref.ravel(), color='r', marker='o', s=4)\n",
"xlo, xhi = plt.xlim()\n",
"ylo, yhi = plt.ylim()\n",
"plt.hlines([np.pi/4, -np.pi/4.], xlo, xhi, lw=1, linestyle=':')\n",
"plt.vlines([np.pi/4, -np.pi/4.], ylo, yhi, lw=1, linestyle=':')\n",
"plt.xlim(xlo, xhi)\n",
"plt.ylim(ylo, yhi)"
]
},
{
"cell_type": "code",
"execution_count": 536,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": false
},
"outputs": [],
"source": [
"# from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"# fig = plt.figure()\n",
"# ax = fig.add_subplot(111, projection='3d', aspect='equal')\n",
"# ax.set_aspect(\"equal\")\n",
"\n",
"# r = 0.9\n",
"# u, v = np.mgrid[0.0:np.pi:25j, 0.0:2.0*np.pi:25j]\n",
"# x = r*np.sin(u)*np.cos(v)\n",
"# y = r*np.sin(u)*np.sin(v)\n",
"# z = r*np.cos(u)\n",
"# ax.plot_surface(x, y, z, color='c', rstride=1, cstride=1, alpha=0.6, linewidth=0)\n",
"\n",
"# px, py, pz = np.ma.masked_equal(pp, -999.)\n",
"# ax.scatter(px.ravel(), py.ravel(), pz.ravel(), color='k', s=10)\n",
"\n",
"# plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"source": [
"### Mirror Faces\n",
"\n",
"Now we have the slightly cumbersome task of mirroring the faces. Seb has a really complex piece of code that does this, but I'm not 100% sure what's actually going... why can't we just rotate the main face by 90 degrees four times in the longitude? I think the simple answer is that spherical coordinate rotations are affine transformations so this won't work.\n",
"\n",
"What Seb does is to essentially re-write what looks like a piece of Fortran code to manually flip/rotate the coordinates (in **mirrorGrids.m**). The first part of this routine seems superfluous.... it re-weights x/y values from opposite corners of the given face, but we have already computed these accurately so I don't think this is necessary. The second part is the actual rotation; for each face, the rotation axis/angle is specified and every vertex coordinate is transfered to cartesian coordinates, rotated, then transferred back to spherical coordinates. \n",
"\n",
"*Note* - I think there's a glitch in Seb's code for the z-axis rotations; see the formula [here](https://en.wikipedia.org/wiki/Rotation_matrix#In_three_dimensions)\n",
"\n",
"An alternative to the 3D rotation could be to use quaternions, e.g. following [Jake Van der Plas's post](https://jakevdp.github.io/blog/2012/11/24/simple-3d-visualization-in-matplotlib/)."
]
},
{
"cell_type": "code",
"execution_count": 537,
"metadata": {
"code_folding": [
3
],
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"(0.78539800000000004, 0.52359800000000001, 1.0)"
]
},
"execution_count": 537,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from matplotlib.patches import FancyArrowPatch\n",
"from mpl_toolkits.mplot3d import proj3d\n",
"\n",
"class Arrow3D(FancyArrowPatch):\n",
" def __init__(self, xs, ys, zs, *args, **kwargs):\n",
" FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
" self._verts3d = xs, ys, zs\n",
"\n",
" def draw(self, renderer):\n",
" xs3d, ys3d, zs3d = self._verts3d\n",
" xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
" self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
" FancyArrowPatch.draw(self, renderer)\n",
"\n",
"def spherical_to_cartesian(theta, phi, r=1):\n",
" x = r * np.cos(phi) * np.cos(theta)\n",
" y = r * np.cos(phi) * np.sin(theta)\n",
" z = r * np.sin(phi)\n",
" return x, y, z\n",
"vec_spherical_to_cartesian = np.vectorize(spherical_to_cartesian)\n",
"\n",
"def cartesian_to_spherical(x, y, z):\n",
" r = np.sqrt(x**2 + y**2 + z**2)\n",
" #theta = np.arccos(z / r)\n",
" theta = np.arctan2(y, x)\n",
" phi = np.arctan2(z, np.sqrt(x**2 + y**2))\n",
" \n",
"# if np.abs(x) < 1e-16:\n",
"# phi = np.pi\n",
"# else:\n",
"# phi = np.arctan(y / x)\n",
" return theta, phi, r\n",
"vec_cartesian_to_spherical = np.vectorize(cartesian_to_spherical)\n",
" \n",
"def rotate_sphere_3D(theta, phi, r, rot_ang, rot_axis='x'): \n",
" cos_ang = np.cos(rot_ang)\n",
" sin_ang = np.sin(rot_ang)\n",
"# print(rot_axis, cos_ang, sin_ang)\n",
" \n",
" x, y, z = spherical_to_cartesian(theta, phi, r)\n",
" if rot_axis == 'x':\n",
" x_new = x\n",
" y_new = cos_ang*y + sin_ang*z\n",
" z_new = -sin_ang*y + cos_ang*z\n",
" elif rot_axis == 'y':\n",
" x_new = cos_ang*x - sin_ang*z\n",
" y_new = y\n",
" z_new = sin_ang*x + cos_ang*z\n",
" elif rot_axis == 'z':\n",
" x_new = cos_ang*x + sin_ang*y\n",
" y_new = -sin_ang*x + cos_ang*y\n",
" z_new = z\n",
" \n",
"# print(x, x_new)\n",
"# print(y, y_new)\n",
"# print(z, z_new)\n",
" \n",
" theta_new, phi_new, r_new = cartesian_to_spherical(x_new, y_new, z_new)\n",
" \n",
"# print()\n",
"# print(theta, theta_new)\n",
"# print(phi, phi_new)\n",
"# print(r, r_new)\n",
" \n",
" return theta_new, phi_new, r_new\n",
"\n",
" \n",
"cartesian_to_spherical(*spherical_to_cartesian(0.785398, 0.523598))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Check - evaluate against a caclulator like http://www.nh.cas.cz/people/lazar/celler/online_tools.php?start_vec=0.7071,0.,0.7071&rot_ax=0,0,1&rot_ang=30"
]
},
{
"cell_type": "code",
"execution_count": 538,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"-----------------------\n",
"[ -7.07106781e-01 -7.07106781e-01 1.22464680e-16]\n",
"z 30.0\n",
"[ -9.65925826e-01 -2.58819045e-01 1.22464680e-16]\n"
]
}
],
"source": [
"v0 = np.pi/4., np.pi, 1.0\n",
"v0x, v0y, v0z = v0\n",
"\n",
"axis, angle = 'z', np.pi/6.\n",
"v1 = rotate_sphere_3D(*v0, angle, axis)\n",
"v1x, v1y, v1z = v1\n",
"\n",
"print(\"\\n-----------------------\")\n",
"print(np.asarray(spherical_to_cartesian(*v0)))\n",
"print(axis, np.rad2deg(angle))\n",
"print(np.asarray(spherical_to_cartesian(*v1)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"#### Test Rotation\n",
"\n",
"**mplot3d**"
]
},
{
"cell_type": "code",
"execution_count": 539,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": false
},
"outputs": [
{
"data": {
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adBqGMSSCbdvObjTLKFaRVymKdTc7imKyTiiCCZmScdm/QOqv6/V6Q8LOMAy0221YVvWh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\ndDn/A1bLt8/i0F9JAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e1acdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d', aspect='equal')\n",
"ax.set_aspect(\"equal\")\n",
"\n",
"r = 0.95\n",
"u, v = np.mgrid[0.0:np.pi:25j, 0.0:2.0*np.pi:25j]\n",
"x, y, z = spherical_to_cartesian(u, v, r)\n",
"ax.plot_surface(x, y, z, color='c', rstride=1, cstride=1, alpha=0.6, linewidth=0)\n",
"\n",
"# v0 = np.pi/4., np.pi/6., 1.0\n",
"v0 = np.pi/4., 0., 1.0\n",
"v0x, v0y, v0z = v0\n",
"\n",
"v1 = rotate_sphere_3D(*v0, np.pi/6., 'z')\n",
"v1x, v1y, v1z = v1\n",
"\n",
"ax.scatter(*spherical_to_cartesian(*v0), color='k')\n",
"ax.scatter(*spherical_to_cartesian(*v1), color='r')\n",
"for v in [v0, v1]:\n",
" v = spherical_to_cartesian(*v)\n",
" a = Arrow3D([0, v[0]], [0, v[1]], [0, v[2]],\n",
" lw=3, arrowstyle=\"-|>\", color='k')\n",
" ax.add_artist(a)\n",
" \n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"**mayavi**\n",
"\n",
"Adapted from http://docs.enthought.com/mayavi/mayavi/auto/example_flight_graph.html#example-flight-graph"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"source": [
"``` python\n",
"mlab.figure(1)\n",
"mlab.clf()\n",
"\n",
"# mlab.orientation_axes()\n",
"\n",
"from mayavi.sources.builtin_surface import BuiltinSurface\n",
"# continents_src = BuiltinSurface(source='earth', name='Continents')\n",
"# continents_src.data_source.on_ratio = 2\n",
"\n",
"# The on_ratio of the Earth source controls the level of detail of the\n",
"# continents outline.\n",
"# continents = mlab.pipeline.surface(continents_src, color=(0, 0, 0))\n",
"# sphere = mlab.points3d(0, 0, 0, scale_mode='none',\n",
"# scale_factor=2,\n",
"# color=(0.67, 0.77, 0.93),\n",
"# resolution=50,\n",
"# opacity=0.7,\n",
"# name='Earth')\n",
"# with the record mode to produce lines of code usable in a script.\n",
"# sphere.actor.property.specular = 0.45\n",
"# sphere.actor.property.specular_power = 5\n",
"# Backface culling is necessary for more a beautiful transparent\n",
"# rendering.\n",
"# sphere.actor.property.backface_culling = True\n",
"\n",
"# Plot the equator and the tropiques\n",
"theta = np.linspace(0, 2 * np.pi, 100)\n",
"for angle in (- np.pi / 6, 0, np.pi / 6):\n",
" x = np.cos(theta) * np.cos(angle)\n",
" y = np.sin(theta) * np.cos(angle)\n",
" z = np.ones_like(theta) * np.sin(angle)\n",
"# mlab.plot3d(x, y, z, color=(1, 1, 1),\n",
"# opacity=0.2, tube_radius=None)\n",
"\n",
"r = 0.9\n",
"u, v = np.mgrid[0.0:np.pi:25j, 0.0:2.0*np.pi:25j]\n",
"x, y, z = spherical_to_cartesian(u, v, r)\n",
"mlab.mesh(x, y, z,color=(0.67, 0.77, 0.93), opacity=0.27, line_width=0)\n",
"\n",
"# v0 = np.pi/4., np.pi/6., 1.0\n",
"v0 = np.pi/4., np.pi, 1.0\n",
"v0x, v0y, v0z = v0\n",
"\n",
"axis = 'z'\n",
"v1 = rotate_sphere_3D(*v0, np.pi/6., 'z')\n",
"v1x, v1y, v1z = v1\n",
"\n",
"cx, cy, cz = [0, ], [0, ], [0, ]\n",
"\n",
"# Plot vectors\n",
"mlab.quiver3d(cx, cy, cz, *v0,)\n",
"mlab.quiver3d(cx, cy, cz, *v1, color=(0, 0, 0))\n",
"mlab.view(focalpoint=[-0.05, 0, 0])\n",
"mlab.axes()\n",
"\n",
"# Plot axis of rotation\n",
"mlab.quiver3d([0, ], [0, ], [0, ], [0, ], [0, ], [1.5, ], color=(1.0, 1.0, 1.0))\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"#### Actual calculation"
]
},
{
"cell_type": "code",
"execution_count": 540,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"new_xgrid = np.zeros((c+1, c+1, 6))\n",
"new_ygrid = np.zeros((c+1, c+1, 6))\n",
"\n",
"xgrid = llr.copy()\n",
"ygrid = ttr.copy()\n",
"\n",
"new_xgrid[..., 0] = xgrid.copy()\n",
"new_ygrid[..., 0] = ygrid.copy()\n",
"\n",
"# radius = 6370.0e3\n",
"radius = 1.\n",
"\n",
"for face in range(1, 6):\n",
" if face > 5: continue\n",
" for j in range(c+1):\n",
" for i in range(c+1):\n",
" x = xgrid[i, j]\n",
" y = ygrid[i, j]\n",
" z = radius\n",
" \n",
" if face == 1:\n",
" # Rotate about z only\n",
" new_xyz = rotate_sphere_3D(x, y, z, -np.pi/2., 'z')\n",
" \n",
" elif face == 2:\n",
" # Rotate about z, then x\n",
" temp_xyz = rotate_sphere_3D(x, y, z, -np.pi/2., 'z') \n",
" x, y, z = temp_xyz[:]\n",
" new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'x')\n",
" \n",
" elif face == 3:\n",
" temp_xyz = rotate_sphere_3D(x, y, z, np.pi, 'z')\n",
" x, y, z = temp_xyz[:]\n",
" new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'x')\n",
" \n",
" if ((c % 2) != 0) and (j == c//2 - 1):\n",
" print(i, j, face)\n",
" new_xyz[0] = np.pi\n",
" \n",
" elif face == 4:\n",
" temp_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'z') \n",
" x, y, z = temp_xyz[:]\n",
" new_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'y')\n",
" \n",
" elif face == 5:\n",
" temp_xyz = rotate_sphere_3D(x, y, z, np.pi/2., 'y') \n",
" x, y, z = temp_xyz[:]\n",
" new_xyz = rotate_sphere_3D(x, y, z, 0., 'z')\n",
" \n",
" # print((x, y, z), \"\\n\", new_xyz, \"\\n\" + \"--\"*40)\n",
" \n",
" new_x, new_y, _ = new_xyz\n",
" new_xgrid[i, j, face] = new_x\n",
" new_ygrid[i, j, face] = new_y \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 541,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": false
},
"outputs": [
{
"data": {
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B8vJyz8pJREQUdczZREREatu/fz969+6NHj16dHm9X79+AIB9+/bl3f7999/H97//fcye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OGHne7duzvnnnuuc/XVVzsvvvhi2GG5ctFFF9XYJqZOnRp2iK7VNM5joigf+6s6PzFd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48ccfUVRUhKqqKqSlpaGwsBCPPPIIOnXqZEaRXcmMi2vxqvCqqipVj2WEJKkU/HhnichLkt1d\nl/Z5OdKxQ++KcTFpwF26azhpx/N1cmad05x680ZvENWpx+MUeq/ZjFzr+SGobYTeNuu01d6ANf2P\n1/fkF9L+JE1BUBOJJF2FKk2joGbTPfHmfOK/WVVVFZeSIdkYpLSBoTTX8LRp0xKmBZFNkSEJCGu9\nOaumDuVSVyTbPFO6uaHwd8X1BwCHDh2S3edGeixq6lBcf0K5xZLVn9zflWO0DUr/DtugsX6cKJ+4\nuCxKdZjqNij+bLPaoFdpCogfPXo04c9DoRBCoRBOnjyJ4Pk7W2Lp6ekAWtJqKBHyFn355Ze4++67\n0aNHD/z973/Ha6+9hqqqKrzzzjuxnbHJOLnOoGYClZaWFvs+5VKp1ADYdv6z/XBnicgrxH11m8Ld\n78bGxtgjdU1NTTh79mzc78g9PqYnvzjpw/N1aiR6xNYoPUE1r60qB/yxspzMZXUbsqKPaD0ms4P0\nZo6FRE6nFOCqBdBYUQHIXM+qTaOgJNk4k6oxSM141pCRgdrzc3qh32sZVxLdYFCaaxitP0D52DIy\nMrB3715Dn53sb4jJxUW0jstsg+a1QTvq0I1t0Ks0BcSHDRuW8Of33nsv5s2bBwAJN+FK9LNevXph\n7ty5KCoqwuWXXw4AGDlyJC677DI89thjWL9+Pe644w4txSaJZHfU1Gyskp6enjSYlWjHYCJyJuld\nabkTbHNzc6z/Z2RkqA5sK13MAQyQpxrP16lh5sWinqCaFy9e9R4TA+neo/c7Zb8wP0jvxTom0kNu\n3pyqvqdlg0g5ejaBVCPVc3o1cw09tG4QKaVnA0O1UlmHbIPGmVWHRtsgEP80QKowNidPU0D8ySef\nTPhzIQdpKBRCU1NT3M+F1xIl68/JyWmVE1bw29/+Fk888QR27Niha4KdKDhQW1uL7OxszZ/pFske\niZALTKWCnp2iicheZp2Ek40H0r/r1eD4gQMHEp6PPvnkk5T8HTefrwHnnLOdmBrBqayuKwbSncst\ngW32b/X8WFdWna/J3dQ8/SgNkh06dAhDhgyJe4/af6ih3AAAIABJREFUDSKVKG3AJ44FHDp0SFXQ\nV0uebCPU5rYW16G4/sTv0bJBpBw19Sf8/WRBX615so0wWod+b4PSz1dTf+FwGF27do3Ng1LVBoHE\nq8rl6tAJbdDNNAXEJ06cqOr3unfvjhMnTuDMmTNo27Zt7PWamhoAwKWXXqrlzwJoSdGRmZmZ8PFt\naqEmJ5Ce4FOyNClA6832UvGoExFZS+kkrLSRpjh9itKmJYD85pgCNTfpvBogNwvP16mhddWl2cFW\nrUEpN2wa6JZAOuCvYLqRY3VLYNvJm85amQJFzevMR08kT81q51Akgi7l5diBltQFQ4YMUZWLOFXE\nK0OFv5eFlpzCIQByV9hWrSZVs1I3C0BBJIId5eVx9af0nlSS1oW4DkcAse810XvMZLQO/d4GAe39\n+AicU4dOaINuZsqmmrm5uYhGo/jmm29aBWYrKysRCASQl5en+N7ly5dj06ZNeP/99xEKhWKvnzhx\nAseOHUOvXr10lSnRXfwbb7xR12faTc8OtgI9F7ZCmpREHU/NZntE5D5yfTsLQEFzM3ZEIqgBYuN9\nsrEl2c2yRDfwAMR2ERd2Xhe4ISiVnZ2NsrIyu4sR48TzNeDec7bZgUDh3C1MIuTOw1aWJxXcFGiz\nI5huJDDtpqC2EW5oQ3pToKjt62aXx4+cdr4md8oCsB3AVQD2oGVzO7vJlSmV40sqObH+ANahUW6q\nP4B16GWmBMSHDx+Odu3aYe3atXjmmWcAANFoFKWlpcjOzsZ1112n+N7s7Gz89NNPWL9+PaZNmxZ7\nfcWKFQgEAhg3bpwZRXYlLRezetKiSFeah8NhhCKRhB3PCysCiSietG8rXRjo2TgzWToVTtzNw/N1\nalmx2tnsi3K3rIJ2WwoHvWUycixOrIdE3PKdWtVHzOzrbqlrIjeRS11REIngqvP/vgotN7hqVXxW\nMBiMzcOFhSDC/wda5unShSHhcFjVdXfB+bKIy7TNIekVpPMIvfUHKNfhmTNnWj3dKtSh2voDkteh\nnddMqapDcf0BF+pQ3AaF39Nah25pg4A5/VipDV555ZWy52Y5Tm6DbmJKQLxjx46YNWsWXnzxRTQ3\nN2PQoEH48MMPsXv3bixbtqzVJl1bt24FAIwaNQoAMGHCBLz99ttYsmQJfvjhB1x11VUoLy/H1q1b\ncdttt+H66683o8ieZDQnb35+fqtO2djYiBGI73j/I0qlIJdSgYjcT9y327Rpg4Jz5+JPwqIbbcJJ\nWM2qPS3pVCi1eL5OLS0rVfUG1eQugJUuyvUEvdzS39ySosWP3JDCxAg97URPnWjp60yBQmQ/udQV\nO8rLsQcXbmx9CqBRxcaF0vSk4hzPArm5uhzpRoeh82URl8kp6RWkqSuS1R+gvQ4B4NSpUwBagpFK\nvy/+fGnOay/VoZr6E8/rpDElrXXopvoDzOnHgHwbrKqqUly4Kl5A5vQ6dBNTAuIAMHfuXFx88cVY\nt24dysrK0Lt3byxfvhyFhYWtfu+pp55CIBCITbDT0tJQUlKCpUuX4qOPPsK7776LXr16YeHChZg6\ndapZxfUEM/LuSi+YdyC+4zFNCpG/hEIh7IhE4saCVOwbIP0McYCcAStz8HxtD71tWe48HL+1aQsG\nveIZqRM/BdONHCvbXTw9daKlr3ut/RF5RQ1anu4oQEsfPgIAomvdrl27GtrcUM0GfOFwuNXvRGTK\npDS22C1Z/QHG6lDNJpDS+gO8VYdq6i8RPXXopvoDzO3HaupP+Ew316FTmRYQB4Dp06dj+vTpCX/n\n448/jnstMzMTixcvxuLFi00qmTeYEQCX7uYrnQzJDQZKp2grdwYmotRQm/JE9sIgwWcl+zwlcqvH\nE+UQZ1BAH56v5TkxfYhc33PCBbAT6yrV7AimGwlMM6idmNPbrJP6utPrisiJxP1jm8I1cE5Ojikb\n80k34DtypPWVeg0upFfIgTP7srhMtWhZkQuL6jBZ/QFAQ0YGas/XnxvqkG1QH7vqUG4TTSk3tEGn\nMzUgTuZKxWRFmidc6ERVVVWKj2zUAPggLQ3p6enIgPKjMXxkg8h91Oyy3djYiIyMDDQA+KCpCWfP\nno37HenYceWVV7a6yWY0OC78W+4ClShVzLzBoidYKZ0cmnEBrDeIqreu/BJo03vNZuRazw9BbUB/\nG9LbZq14UkBrXze7TLzZTKSdmmtqOzl9ri6XusJJdej0+gPYBlPByXXohvpzOgbEfU6uE6np6Onp\n6UmDWck2yiMi55HuPSCnubk51v8zMjJkxwK5x+zEY43TLiiI5JgZZNITrLTiPGp1EJXXBmSU1W3I\nij6i9ZjMLpOf0gURWalCRR5io5+rdD3vFWbUoTTntZeZ1Vb8Wodsg+7CgLgPSVOZyKVe0auNaIPN\nVOQTJiJrKU2qxX1bD+kNslSkUyEym9Ygk19WO8uxOmDm57r2Kqu/Uz8HebkJJ5EzqMkxHAwGWz3R\nLZBLbyr3uV5npA7D4bDs/EMpr7MXqW0rSucH1iHboJsxIO4DcmlR5B79yEJLnsIQWpL0S6WdT5MC\nKKdJ4QabRN6k1LeF9ClAy4m+sbEx7veyABREIthRXo6a869Jn0yRrkznOEJuZHYQTWsAz8oAoxAw\nE64ldgCx/m4GpmhxLqtTmOhlZZvVWidMgULkLWr26JEGzIQ9c8SE1ac5OTmxfXUyMjJa7auj9PlK\nqVLdQmsdytUfABw6dAjdunWL/Vs8jxHqUClI6eY90tQuRpJuhtnY2Bi36pl1yDboFQyIe1CyADgQ\nH3zKArAdF3ay/yXiJwVq0qQQkb+I06cI4474brbc2CJeLQ7Ej1FmbBhM5AVaV2laHfSS6+/JWL1K\n18hn+imYbuRYrW53RtqQnjarh9NSoBCRtdTkIRZvzCf+Pbk9c6T/VrMBn9vzDWutQ/HviOswIyMD\ne/fujXuvmo003VyHanOyy7UlaRtkHbINegUD4i6WaLKS7MJbeqE9Ai2TAZz/3wIAm3SUqaGhQce7\niMjp9PbtAsiMLUkezUt0Aw+4cLddfBcd8GZQitzFzykYAPn+XpvkPW4K/NkRTDcSmHZTUNsII21I\nT5v1Ar+PVUROJF0woiUXMfMNtzCSy5l12MJIHfopd70StkF3YUDcxbRcsCbLE74DLStjhBUynwKx\nx6+ExzyU0qSIcwsbyTFMRM4l7ttK+cQrKioQDAZbjR07IpG4sUXufYk24OXknNxCS2DOitXGeoJe\nRsoldy2Rk/Ad+rktoKe3TEaOxYn1kIgd36meNqunj5h9bMwJTuR+oUgEXcrLY+mblHIRyxHyDWeh\nZaGb2WnLnEiaolFL/QGsQ8B4HUYiEVSVlydMw+tlbIPuw4C4h2nJyVuDlsdEC9AyGTgCYIhM+gM5\nSrmFmd+IyH3U5EZT6vORSEQ2fYp0bJF7nzDOVFRUtAoaODW4Rf5gZtDainatJ+hlpFxy1xJmBcT1\nBvTcFkh3I711bEeQVk+b1dNOzD42s9uun9IFEZlNLpdzKBKJS9+k9dlMuRRQDR6dj0vnK6moP4B1\naHYblP5dN2Mb9AYGxF0sWRoBIZil9g5TDYBt5ztbDhLvXC2mlEqB+Y2I3EdNbjS16VPEJ+xaAI0V\nFUCSXODS1TEVFRX44IMPFFOkMIBFZjKzfXktMCvt7znn/3PahbuRjRSNfGd2fN92ldfqDVb1ckub\nVYObcBK5h1wu5y7l5XHpm7Zp/FzZFFAenY9L5yupqD+Adcg2qB7boDcwIO5iSqtNxAn71WyWKZaf\nnx8LhFdVVSnmLlKTJiVZGgQich7pkyVy1KZPERMCDIlWyMmOV6JV59INXbianMxmZpBJz4pRp6ZZ\nAdwVMNO7kaKRVb52rGi3o7wCqzarNEJvm7Xi5obTUqB47QYekdPIpW8KBoPIz8+PLXoDgKamJkSj\nUQSDwVYLRcLhsGyaQrOe0nKaRPUHoFUdnjlzJpbKgnV4gdE6rKioYP2BbdBtGBD3ONkN7UQ/z5B5\nhEXNRbVSygSBNH8SEbmDeGWfmidLEqVPkY4jydKxJBuv4v62ZDU5Uao5baWrU9OsGGFHKgY3baTo\ntDaolpV1bHUbsqKPOC3I7NZ2SOQWcumbMkT7eEmvmSORCILBYOzfjY2NiMh8hl8CaYnqTyCuw1On\nTgEA61BEbx0m+wzW3wVsg87DgLjHyd2pEhOvCAeQcFW4Gm3atMEl5845flUQESmTW9l3VGEluFri\ncUVptXiy8SpZGYnMoKWt+TnPrptWllu5+WcquHG8s7KOnbzS26n0jFVubIdEbiDud9tEC0bkFpeI\nCRvwicmlQPU6NfWntLkh67CFkTqUtlPWH9ugmzAg7nGyd6okSfnVrnRJS0tDeno6AMQe95AKhUIo\niERcs/KKiOLJrezbprASvLGxsdUjX3KrWID4iyW5DYVqIpGkG3AmKiPHGTKDlrZmdhBNawDPygC9\nm1aWu20FkxvHOz117MWV3gKtx+bEnOBubIdEbqBm/x4t/LaPV6rrD2Adsg1qwzboXgyI+0BDRgZq\nz99dEt9hSpYnXCo9PT1hmhSgZbM9t628IqLW5Pqw0kaazc3NsXFBuNGW7CJALr+4+EmVbTLpVNSU\nkeMMmUFLWzM7iKU1gOeGVa5Wryx340aKbhvv9Naxl1d6ay2HE3OCu60dEhERESXCgLiLSScWQqJ+\ncWJ+4ffkdrNO1YW2dINNt628IqLW5PowVGykqZbcI6DiO+DSibp0bFNaTc5xhsyg5ZymJYjl5/Qq\nYlavLDcSIDXyndmxot2u8lodhLa6DTmRFZtw8vqeiIiIvIQBcRfTMuGQBpjUrArPyMiIpUAAEqdJ\nka7mZN4jIndSyoEmprSRZkVFBYLBYKuxI9lKb+F9Q4cOjf39ZGObeDxzywpPciczVxNbETTUswrU\nLYF6O1YFG/lcO1a021FeI9yw0hvQ10ecmAJFCzc+WUHkJeKUp4JwOKzqOpta0jpK6w9gHWohV4cV\nKp7qpRZsg87EgLiHiS++9QxWatMfJHo/8x4RuYuRHGiRSERz+hThfcLvVVRUtAoayAULnBQYIW9z\ne1vTswrULcesd1WwW4KuAieWKRm9deyWld56vhO3HJsSN7ZDIjcS32QSnpAEWoJpwmsAYk+Di/fx\nEV7z840qpfoTO3ToELp16xb7N+uwtWR1KG6DQrsEWH8CtkF3YUDcQ+RWgWsNgsttuJmMUm5hIvIm\ntX1ebuPMZGOSNJ2KOEDu1IAVkR5uC8wm45aV5UYCk177zhIxcqxuCf66pc2q4ae2SeRlSgtTIpEI\njhy5sN28+P8DXIgmUFN/GRkZ2Lt3b9x7WYct2AaNYRt0FwbEXSwVAXCp/Pz8WCA80Yab0rzhROQf\n51TkE5fbOBPQ/sSJ3OpxLfslEDmVnqChFQE8qze5dBM7gulGAp1+CGob4eRNPK3ICU5ERETkZwyI\nu1gqLn6l+ciEYHiyz1XKISxdYU5E7iXuw0o33JTGArmNM9V8XiLSz5SuVCCym9kBayuCzlYH1ry0\nSjcRvfVq5PvwS5DU6jZkRb1amRNczevkLPv378cf//hH7Ny5EwAwfPhwLFiwAJ07d074vmPHjmHp\n0qXYtm0bmpqakJubi/vvvx8DBgywothERESOwoC4z4lXhANIuCpcTCllAh/zIPIONfnE1aZPEY8r\neleLEzmd2UEsJ6dF4MpysouTV3rr5fZNOMk8P//8M6ZOnYqzZ89i9uzZOHv2LFatWoU9e/Zg/fr1\nSEuTn96fPHkSd9xxB44ePYq77roLmZmZWLt2Le666y688847rZ64IyIi8gMGxH1ILk+4msCUkBoh\nC0DBuXPYAaDG3KISkYNJxwJhQxA1K8b15Bcn8jvhfJ0FoABIeh62chUoV5aTUV5c6S3QmwJFbV8n\n/1izZg1qamqwadMm9OnTB0DLgqTp06djw4YNmDRpkuz7Xn75ZfzjH//AG2+8geuvvx4AMGbMGIwa\nNQqrVq3C008/bdkxENmJ+5+R3dgGnYMBcR+QS4sCIGmecKlQKIRQJILtAK4CsAfAL8ELdCI/ygLi\nxoIrz48zyQIMcvnFxU+qMDhOpEyu7ylxwypQq1eWM5BuPr117MWV3gI95dDS18k/Nm/ejIEDB8aC\n4QAwePBg9OnTB5s3b1YMiL/33nsYPnx4LBgOAJdccgkWLFiguKqc7CWMmcJ1sfQGGVOVJiaXqlFu\nMQ/rUJliHSK+HbL+4rENOh/Pfh4kFwCXXogrpT9IpKGhASPQcmGO8/9bAGAbOzGR50lP6AWRSPxY\noPLmmlx+cXGqJTM2DCZyGr1BwwLEn4drFX7XDYFCq1eWGzluPwXTjRyr1W3LDbnS9fRFLX3dT23T\nz+rq6lBdXY3Ro0fH/Sw3Nxfbt2+Xfd/+/ftx+PBhzJo1K/ZaQ0MDQqEQJk+ebFp5yRhhbBg6dCiq\nystlF6IwVakyaepH1qF2rENjWH/Ox4C4iyW6+JVeXMsFmJKRpj84d/5O1h5c6MSfgnnDifxAekLf\nUV4eNxaIg9aJ0qdIVVRUYOjQoQDUjV/hcBiNjY0IBoOtcl5y4k9uojdoKHceVsr8qidQ6JbAmh3B\nfjuC6Ua+DzcFtQF33MAB9NWrnr6opa87qX7IPIcPHwYAXHrppXE/y8rKQn19PSKRSOwaTPCPf/wD\ngUAAnTt3xtNPP43169cjEongsssuw8KFCzFixAhLyk/6ablBRvJYh8axDo1h/TkPA+IuluziVzyx\n0LPCMl8m/UENWu5kFaDlwvwIlC/Oici75MYCMbnxQ4l4xXhFRUWrgIjTAiFEdjP7POyW/qZ3VbBd\nQVe9n22kTHZ9l3rr2A0rvQHr6pXX3CR18uRJAEB6enrcz9q3bw8AaGxsjAuI19XVIRqNYvny5Wjb\nti0WLVqENm3aoKSkBHPmzEFJSQkGDx5s/gGQblpukJE81qFxrENjWH/Ow4C4h6QizUBGRgaCwSAa\nGxtjqzClanAhTUoOnLdqjIjMJe7z2xTGmYqKCgSDwdikTBhXko1J0nQq4gA5g+Pkd+K+V4uWi+hU\nn4f1BjPdsrLcSNDVLSuYU8HIsbolsK23zVrRDqzo6+Q+0WgUABAIBBR/R+5np0+fBgDU19djy5Yt\nsWuzESNGYNSoUVi6dCnWr19vQokpVXiDzDjWoXGsQ2NYf87DgLiLmZFnV7yqM9FnMU0KkX9J06fI\nBT4ikUirMUTLinHp50hXjydKmeK1oBSRmBXtW28w0w99z45gupHgqx+C2kbobbNW1I0f+hNpFwqF\nAABNTU1xPzt16hQAxK0OF7+vsLCw1c87dOiAkSNHYuPGjbHrKq2GDRum+LPa2lpkZ2dr/kxqjTfI\njGMdGsc6NIb1Z54DBw4kPBd98sknij9jQNzFUnFBLrcBp9zkiYjIKLmdtrWQrh6PRCI4ckSarIWI\n3MQtK8uN0nvNZuRazw9BbcA/bYhICC7LXfvU1NQgMzNTNp2KkHO8S5cucT/r0qULotEoGhoadAXE\nyXy8QWYc69A41qExrD9nYkDc5/Lz81sFwauqqhQ33BQHzznJICIgfixQCnSLxxXhPX4I1BDZycpA\nod7VyJwgkFF625CVKXAYtKdU6NChA3r27InKysq4n1VWVqJ///6y78vJyUG7du1k23t1dTXat2+P\nzp076ypTopV3N954o67PJCIiUis7OxtlZWW63suAuA9JA9vCCqIstOQzCgGQW7fJNClEJCUNGsil\nUMkCUBCJYEd5OWrOv6Y2kE5E+lkZbJZeS+wAYv3dDAwweo/V36mVbZY3fihVbrrpJrz++uvYt28f\n+vTpA6BlgcG+ffswa9Ys2fcEg0GMHDkSZWVl+P7773HFFVcAaAmGb9u2DYWFhQnzkhMREXkRA+I+\nIJcWBWiZCAgrwrMAbMeFHW9/CXMnskTkD3Jji/QplCuvvLLVkyoMjhO5k1x/T8bqleUMpJtPbx3b\nsdJbT5slstPMmTOxceNGTJs2DTNmzEBTUxNKSkqQl5eHoqIiAC2B7t27d2PAgAHo1asXAGD+/PnY\nuXMnpkyZgqlTpyItLQ1vvPEGgsEgfv/739t5SERERLZgQNyD5ALgyVZxjkDLZADn/7cAwDaFQDoR\nkRJpnvCCSCRubNkkyQUOoNXTJ2ZsGExE6hgJGBcg/lqiNsl7rM5zbWSlrp+C6UaO1erV0EbakJ42\n66d2QM7TuXNnrFu3DsXFxXj++ecRDAZRWFiI+fPno23btgCAzz//HA8//DCKi4tjAfEePXrgP//z\nP/GnP/0Jq1evRjQaxS9+8QvMnz8fPXv2tPOQiIiIbMGAuIsluiCXTkbkAkxiO9CyMkZYIfMpmCKF\niLQTjz1Dhw7FjvLyuLFFqqKiAkOHDgWgbvwKh8NobGxEMBhETk5O7HUGI4iMMxLMlLuWyEn4Dv2s\nzP8ssCOYbiT46qagNmDPd6qnzTL9Cdmtd+/eeOmllxR/PmHCBEyYMCHu9Z49e2LZsmVmFo2IiMg1\nGBB3sWQX5OKJRbIVljVoeUy0AC2TgSMwbxJLRP4hN7ZIRUQrxisqKloFRMwMhBBRall5LaF3VbAd\nQVdAfxDVSJnsGjv11rHVTwsAvP4lIiIi8isGxD1EKc1AFlpSoiTbLKgGF9Kk5ICrLYnIGPEYUgug\nsaICSJL6JBSJoEt5eWy8EgfIGRwnci5pf885/5/TriWMbKRoVzDdDkaO1eoNVvVyS5slIiIiotRj\nQNzF1OTZ1bpZJtOkEFGqJNu7QEp2vJJZPZ4oZYrXglJEbuGmvqd3I0UjK5j1BpiNBKZTEdTWyw2b\nVbqpzRIRERFRajEg7mJqJitymwVtEv1cbgNOIiIzSDfclN7ASzZeRSSbcYYiEXQ5csSxqw+JKDk7\nNijUs5GiUXoDzEZWW9uRgkRgZR1zk0siIiIi0ooBcY+T2yxIjCvCicgq0g03pYGaZOOVmBtWHxJR\ncnas0rVy889UcON4Z2Udc6U3EREREWnFgLjHyW0WJF4VztUzRGQH6dhTUVGBmkgk6QacAjtWeBKR\ncxhZFey2jRTdON7pqWOu9CYiIiIiqzAg7gMNGRmoPb9RprBZEFfTEJGdpGOQONftNpl0KlJuW+FJ\nRKml9zrGjRspum2801vHvDYlIiIiIqswIO5BcnnBOckgIicTj1FqNgx22wpPInIGI9dDdq1gtmO8\nM3KsvOYkIiIiIqdjQNzFEk1WOBkhIrdKtHocAMLhMBobGxENBlGbk+OKFZ5E5H52BNONrGhnUJuI\niIiISB4D4i7GyQoR+QHHOiJyO73jmJHxj2MnEREREZG8NnYXgIiIiIiIiIiIiIjICgyIExERERER\nEREREZEvMCBORERERERERERERL7AgDgRERERERERERER+QID4kRERERERERERETkCwyIExERERER\nEREREZEvMCBORERERERERERERL7AgDgRERERERERERER+QID4kRERERERERERETkCwyIExERERER\nEREREZEvMCBORERERERERERERL7AgDgRERERERERERER+QID4kRERERERERERETkCwyIExERERER\nEREREZEvMCBORERERERERERERL7AgDgRERERERERERER+QID4kRERERERERERETkCwyIExERERER\nEREREZEvMCBORERERERERERERL7AgDgRERERERERERER+YIlAfEff/wR1157LXbu3Kn6PaWlpRgz\nZgyuvfZaFBUVYfPmzSaWkIiIiHi+JiIicrb9+/dj7ty5KCgoQEFBARYsWIBjx45p+oxvv/0W/fv3\nx4oVK0wqJRERkbOZHhCvr6/HnDlzcPr0adXvKSkpweOPP46rr74af/jDH9CtWzfcf//9+OCDD0ws\nKRERkX/xfE1ERORsP//8M6ZOnYqKigrMnj0bM2bMwMcff4zf/e53OHv2rKrPaG5uxsKFC9Hc3Gxy\naYmIiJwrzcwP//777zF37lz88MMPqt9TX1+PFStW4Oabb8YzzzwDAJg0aRKmTJmCJUuWYPTo0QgE\nAiaVmIiIyH94viYiInK+NWvWoKamBps2bUKfPn0AAPn5+Zg+fTo2bNiASZMmJf2MlStXoqqqyuyi\nEhEROZppK8Q3bNiA8ePHo66uTtWJWVBWVoampiZMnjw59logEMDtt9+OgwcPYteuXWYUl4iIyJd4\nviYiInKHzZs3Y+DAgbFgOAAMHjwYffr0UZWy7LvvvsPKlSsxZ84cRKNRM4tKRETkaKYFxPfs2YNx\n48Zh06ZNGDBggOr3ff311wCA3NzcVq/n5uYiGo3iq6++Smk5iYiI/IznayIiIuerq6tDdXU1rrnm\nmrif5ebmxs7LSoRUKcOGDUNRUZFZxSQiInIF01KmPPDAA0hL0/7xhw8fRmZmJtq3b9/q9a5duwIA\nDh48mJLyEREREc/XREREbnD48GEAwKWXXhr3s6ysLNTX1yMSiSAjI0P2/S+//DKqq6uxcuVKnDlz\nxtSyEhEROZ2mGfDRo0cT/jwUCiEUCrV8sI7JNQCcPHkSwWAw7vX09HQAQENDg67PJSIi8guer4mI\niLzl5MmTAC6cZ8WEm9ONjY2yAfFwOIw///nPeOyxx5CVlYWffvrJ3MISERE5nKZZ8LBhwxR/FggE\ncM8992DevHmGC5VoEy5u0EVERJQYz9dERETeIuT81nruPXfuHB566CHccMMNmDhxomnlIyIichNN\nAfEnn3wy4c+leUT1CIVCaGpqintdeE3pEbBkEgUHjhw5gosuugg33nijrs8mIiJK5uDBg2hubk54\nPvrkk09S8rfcfL4GeM4mIiL7WHm+1kJ4skvu3Hvq1CkA8ufeVatWIRwOo7S0FMePHwcAnDhxIvZZ\nx48fR8eOHXXdyOb5moiI7GL0fK0pIG7FHeXu3bvjxIkTOHPmDNq2bRt7vaamBoB8zrRUaG5uNuVz\n7XDgwAEAQHZ2ts0lMY7H4lxeOh4eizN56VionoOfAAAT30lEQVQAa88zXj5fA946Z3uF1/qrl/C7\ncS5+N87k1HOM0E6OHDkS97OamhpkZmbKplPZvn07zpw5E3dtEAgEsGrVKpSUlKCsrMyUdujUutTK\na33VS8fDY3EuLx0Pj8WZjJ5jTNtUU6/c3FxEo1F88803yM/Pj71eWVmJQCCAvLw8XZ+b6K6AcDeh\nrKxM12c7jZeOh8fiXF46Hh6LM3npWIALx2PHqjIzmHW+Bvx1zvYKfi/Oxe/GufjdOJNTz9cdOnRA\nz549UVlZGfezyspK9O/fX/Z9CxcujK0IF9TW1uLBBx/E+PHjMX78eFxyySW6yuSX87WXjgXw1vHw\nWJzLS8fDY3Emo+frNqksTCoMHz4c7dq1w9q1a2OvRaNRlJaWIjs7G9ddd52NpSMiIiKA52siIiKr\n3XTTTSgvL8e+fftirwn//s1vfiP7ntzcXAwePLjVfwMGDAAA9OzZE4MGDUK7du0sKT8REZFTWLZC\nXNgERGrr1q0AgFGjRgEAOnbsiFmzZuHFF19Ec3MzBg0ahA8//BC7d+/GsmXLuEkXERGRiXi+JiIi\ncqaZM2di48aNmDZtGmbMmIGmpiaUlJQgLy8PRUVFAIDq6mrs3r0bAwYMQK9evWwuMRERkTNZFhBX\nmhg/9dRTCAQCsQk2AMydOxcXX3wx1q1bh7KyMvTu3RvLly9HYWGhVcUlIiLyJZ6viYiInKlz585Y\nt24diouL8fzzzyMYDKKwsBDz58+P7efx+eef4+GHH0ZxcXHCgHggEODNayIi8i1LAuITJkzAhAkT\nZH/28ccfy74+ffp0TJ8+3cxiERERkQjP10RERM7Wu3dvvPTSS4o/T3QuF/To0QPffPNNqotGRETk\nGo7LIU5EREREREREREREZAYGxImIiIiIiIiIiIjIFwJRpd2ziIiIiIiIiIiIiIg8hCvEiYiIiIiI\niIiIiMgXGBAnIiIiIiIiIiIiIl9gQJyIiIiIiIiIiIiIfIEBcSIiIiIiIiIiIiLyBQbEiYiIiIiI\niIiIiMgXGBAnIiIiIiIiIiIiIl9gQJyIiIiIiIiIiIiIfIEBcSIiIiIiIiIiIiLyBQbEiYiIiIiI\niIiIiMgXGBAnIiIiIiIiIiIiIl9gQJyIiIiIiIiIiIiIfIEBcSIiIiIiIiIiIiLyBQbEk7jvvvvQ\nr18/u4uh28mTJ/HUU09h5MiRGDBgACZPnoz/+7//s7tYukQiETz55JP4l3/5F/Tv3x8jR47Ec889\nhzNnzthdNEN+/PFHXHvttdi5c6fdRVFl//79mDt3LgoKClBQUIAFCxbg2LFjdhcrJR555BFMnTrV\n7mLotn37dtx+++247rrrMGDAAEyfPh1ffvml3cXS5W9/+xsmT56Mf/7nf8avfvUrPPXUU2hoaLC7\nWIZ9++236N+/P1asWGF3UVzByLj/17/+Ff369Yv77+qrr0ZVVZUFpfc2o+fk0tJSjBkzBtdeey2K\nioqwefNmk0vsP1qvL9hnrKPn2o99xjx665Z9Rj83z7G9NL8GOMd2Cs6xnclL82uAc2ypNJPK4wlb\ntmzBX/7yFwQCAbuLoks0GsWcOXOwa9cuTJkyBT179sT777+PmTNn4pVXXsGwYcPsLqImc+fOxeef\nf47bbrsNOTk5+OKLL/Dyyy9j7969eOGFF+wuni719fWYM2cOTp8+bXdRVPn5558xdepUnD17FrNn\nz8bZs2exatUq7NmzB+vXr0damnuHlPXr12P9+vUYOHCg3UXR5bPPPsPs2bORk5OD3//+92hubkZp\naSnuvPNOlJaWIi8vz+4iqva3v/0Nv/vd75CXl4cHH3wQhw4dwmuvvYavv/4a69ats7t4ujU3N2Ph\nwoVobm62uyiuYWTcr6qqQps2bVBcXIw2bVrf/+/WrZuZxfYFI99NSUkJlixZgrFjx2L69On46KOP\ncP/99yMQCGDMmDEWHYG36bm+YJ+xhp7vhn3GPEbqln1GHzfPsb02vwY4x3YCzrGdyUvza4BzbFlR\nknX8+PHokCFDonl5edF+/frZXRxdPv7442jfvn2jb731Vuy1pqam6IgRI6K33nqrjSXT7qOPPor2\n7ds3Wlpa2ur1pUuXRvv16xfdtWuXTSXTr6qqKjp69Ohov379ov369Yt+9tlndhcpqaVLl0avueaa\n6N69e2OvlZeXR/v27Rt9++23bSyZfs3NzdEXXngh9j1MmTLF7iLpcsstt0RHjBgRPXXqVOy1o0eP\nRgcOHBidMWOGjSXTbsKECdEbb7yx1bGsW7cu2q9fv+j//u//2lgyY1asWBHt379/tF+/ftEXXnjB\n7uI4ntFxf8GCBdGRI0eaWUTfMvLd1NXVRa+77rro/PnzY6+dO3cuescdd0RHjBgRPXfunGnl9gu9\n1xfsM+bT892wz5jHaN2yz2jn9jm2l+bX0Sjn2E7BObYzeWl+HY1yji2HKVMUPP744+jcuTMKCwvt\nLopuJ06cQG5uLoqKimKvtW/fHnl5efjuu+9sLJl2O3fuRCAQwIQJE1q9PmbMGESjUezevdumkumz\nYcMGjB8/HnV1dZg0aZLdxVFt8+bNGDhwIPr06RN7bfDgwejTp48rH909ffo0xo8fjxdffBHjx49H\nVlaW3UXSpa6uDnv27MHYsWPRrl272OtdunTBDTfcgF27dtlYOm1Onz6NLl264NZbb211LAMHDkQ0\nGnXd2CX47rvvsHLlSsyZMwfRaNTu4riC0XE/HA7jiiuuMLOIvmXkuykrK0NTUxMmT54cey0QCOD2\n22/HwYMHXTVeOZGR6wv2GXPp/W7YZ8xjtG7ZZ7Rz+xzbS/NrgHNsp+Ac23m8NL8GOMdWwoC4jK1b\nt+LDDz/Ef/zHf7RqLG4zfvx4/Nd//RdCoVDstXPnziEcDqN79+42lky7OXPmYMOGDUhPT2/1+vHj\nxwEAF110kR3F0m3Pnj0YN24cNm3ahAEDBthdHFXq6upQXV2Na665Ju5nubm5+Prrr20olTGnTp1C\nQ0MDli1bhuLiYte1I0FGRgb+8pe/YNq0aXE/O378uKses2vXrh1eeeUVzJ49u9XrlZWVAIDs7Gw7\nimWI8BjXsGHDWk2gKDGj4/7evXtjgYrTp08zVU0KGfluhHNFbm5uq9dzc3MRjUbx1Vdfpbi0/mLk\n+oJ9xlx6vxv2GfMYrVv2GW28MMf20vwa4BzbCTjHdiYvza8BzrGVuOtbtMCJEyewePFiTJs2Dfn5\n+XjzzTftLlJKNDY2oqqqCi+//DL27duHJUuW2F0kTTIzM5GZmRn3+ptvvolAIOCaE57ggQcecN0g\nevjwYQDApZdeGvezrKws1NfXIxKJICMjw+qi6dahQwds2bIlLu+j27Rp0waXXXZZ3Ovffvstdu3a\nhV/96lc2lCo1Dhw4gE8//RRPP/00+vbti1GjRtldJM1efvllVFdXY+XKla7foMhKRsb96upqNDY2\n4scff0RRURGqqqqQlpaGwsJCPPLII+jUqZOZRfc8I9/N4cOHkZmZifbt27d6vWvXrgCAgwcPpraw\nPqP3+oJ9xnx6vxv2GfMYqVv2GW28OMd2+/wa4BzbCTjHdiYvz68BzrEF7hotdDp69GjCn4dCodhd\n3scffxwXX3wx7rvvPiuKpouW4xE8++yzWLt2LQKBAH7961875jE1PccieO+997BlyxYMHjwY+fn5\nZhRPEy3H4rYTNdCyozqAuBUEAGITicbGRledrAG4+kSdSENDAxYsWIBAIIBZs2bZXRxdTpw4gZEj\nRyIQCCA9PR2LFi1y3YqicDiMP//5z3jssceQlZWFn376ye4i2c6KcT8cDgMAvvzyS9x9993o0aMH\n/v73v+O1115DVVUV3nnnHde1JStY8d2cPHkSwWAw7nXh3OKFne5TzYrrC/YZfaz4bthntFP7vRip\nW/YZb82xvTS/BjjHdhPOsd3DC/NrgHNsMfeNGDok2+353nvvxbx581BWVoYPPvgAr7/+uqMbRKLj\nCQQCuOeeezBv3rxWrxcWFmLIkCH48ssvsXr1akydOhVr165F27ZtzS5uQnqOBWjJ+bdo0SJkZWWh\nuLjYzCKqpvdY3ELIyZRoR3g37hbvRU1NTbjnnnuwZ88e3H333fjFL35hd5F0CQQCeO6553DmzBm8\n8cYbuOuuu7Bs2TJHTTgSOXfuHB566CHccMMNmDhxot3FcQwrxv1evXph7ty5KCoqwuWXXw4AGDly\nJC677DI89thjWL9+Pe644w5jB+JBVp2TeR7RxorrC/YZfay69mOf0Ubt3A/QX7fsM96aY3tpfg1w\nju0mnGO7g1fm1wDn2GK+CIg/+eSTCX+em5uLuro6LF68GOPGjcMVV1yB48ePIxqN4tSpUwBa8gS1\nb99e8U6qldQcj1RBQQGAlgu1Hj164NFHH8WmTZvwr//6r6aUUS09x/Lf//3feOihh9ChQwe88sor\n6Natm1nF00TPsbiJ0Pabmprifib0E7fdufai+vp6zJ49G1988QUmTpzo2JU4amRmZmLMmDEAgF//\n+tcYN24ciouLXXOyXrVqFcLhMEpLS2O5GE+cOAGgpR8dP34cHTt29N1FrhXjfk5ODnJycuJe/+1v\nf4snnngCO3bs8HygQg8rvptQKCR7HhFe43kknhXXF+wz+ljx3bDPaKf2ezFSt+wz3ppje2l+DXCO\n7SacYzufl+bXAOfYYr4IiKu5a/DZZ5/h6NGj2LRpE95///24nw8ZMgTjx493xJ1So3dBRo8ejUcf\nfRSVlZW2n7C1Hstbb72Fxx9/HJ06dcKaNWtw1VVXmVQy7by+AlTYaOHIkSNxP6upqUFmZqbso15k\nnWPHjmHGjBn47rvv8G//9m9YvHix3UVKmfbt22P48OFYu3Ytfv75Z3Ts2NHuIiW1fft2nDlzJm5s\nCAQCWLVqFUpKSlBWVubKTUyMsHPcT0tLQ2ZmJlMMKLDiu+nevTtOnDiBM2fOtFpFV1NTA0A+h6bf\n2Xl9wT6TmBXfDfuMdmq/FzPq1k99xktzbC/NrwHOsd2Ec2xn8/L8GuAc2xcBcTWuvvpqrF69Ou71\nVatWoby8HGvWrIltsOIWTzzxBLZv344tW7a0el3IUyXdQMbp3nvvPSxevBjdunXDmjVr0KdPH7uL\n5CsdOnRAz549YzsRi1VWVqJ///42lIoEJ0+ejJ2s77rrLixYsMDuIumyd+9ezJw5E7NmzcLkyZNb\n/SwSiSAQCDj2cVuphQsXxu5WC2pra/Hggw9i/PjxGD9+PC655BKbSucOesf95cuXxybf4lVnJ06c\nwLFjx9CrVy+ziuwber+b3NxcRKNRfPPNN61yk1ZWViIQCCAvL8+sIlMC7DPOxT5jHiN1yz6jjtfm\n2F6bXwOcY9uNc2zn8sr8GuAcW4n3Mt3r1KFDBwwePDjuv6ysLADAoEGDcMUVV9hcSm169OiB6upq\nbN68udXrJSUlCAQCGDFihE0l0+7777/Ho48+ii5duuCNN97gidomN910E8rLy7Fv377Ya8K/f/Ob\n39hYMvr3f/93fPfdd5g2bZqrT9aXX345IpEI3nrrLZw9ezb2+k8//YQtW7Zg4MCBtj9Wq1Zubm7c\nOWXAgAEAgJ49e2LQoEGuufCwg5FxPzs7Gz/99BPWr1/f6vUVK1YgEAhg3LhxqS6urxj5boYPH452\n7dph7dq1sdei0ShKS0uRnZ2N6667zowiUxLsM87FPmMeI3XLPqOO1+bYXppfA5xjOwXn2M7klfk1\nwDm2Eq4Q97A777wTGzZswB/+8Ad89dVX6NWrF7Zv345t27Zh0qRJrtoI4IUXXsDp06fxy1/+Ert3\n78bu3btb/bxv377o27evTaUzTthMw+lmzpyJjRs3Ytq0aZgxYwaamppQUlKCvLw8FBUV2V083/r+\n++/x/vvv45/+6Z/Qt29f2UdSb775ZhtKpt1FF12ERYsWYcGCBbjzzjtRVFSE48ePo7S0FGlpaXjk\nkUfsLiJZRMu4v3XrVgDAqFGjAAATJkzA22+/jSVLluCHH37AVVddhfLycmzduhW33XYbrr/+emsP\nxmOMfDcdO3bErFmz8OKLL6K5uRmDBg3Chx9+iN27d2PZsmW+y6lvNqXrC/YZ+6n9bthnzKOlbtln\nCPDW/BrgHNspOMd2Hi/NrwHOsZUwIK6CWy8027Vrh9dffx3PPvssNm7ciLq6Olx++eVYtGiR6zZ5\n+fzzzxEIBLBx40Zs3Lgx7udz5sxx9cnaLW2sc+fOWLduHYqLi/H8888jGAyisLAQ8+fPd8SO6qng\nlu9CbOfOnQgEAqirq8PDDz8s+ztuOmHffPPNaNeuHV555RU8/fTTCAaDGDJkCO677z5cfvnldhfP\nsEAg4Mp2ZjUt4/5TTz2FQCAQC1SkpaWhpKQES5cuxUcffYR3330XvXr1wsKFCzF16lRLj8OLjHw3\nADB37lxcfPHFWLduHcrKytC7d28sX77cNZv5uInSWMM+Yz+13w3APmMmtXXLPpN6brwW8tL8GuAc\n2yk4x3Yer82vAc6xZd8TdcttMyIiIiIiIiIiIiIiA5hDnIiIiIiIiIiIiIh8gQFxIiIiIiIiIiIi\nIvIFBsSJiIiIiIiIiIiIyBcYECciIiIiIiIiIiIiX2BAnIiIiIiIiIiIiIh8gQFxIiIiIiIiIiIi\nIvIFBsSJiIiIiIiIiIiIyBcYECciIiIiIiIiIiIiX2BAnIiIiIiIiIiIiIh8gQFxIiIiIiIiIiIi\nIvIFBsSJiIiIiIiIiIiIyBcYECciIiIiIiIiIiIiX2BAnIiIiIiIiIiIiIh84f8Bm1j9ZVZxJV8A\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11abf2f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data = loadmat(\"llr_ttr_faces_c8.mat\")\n",
"lone = data['lone']\n",
"late = data['late']\n",
"\n",
"fig, axs = plt.subplots(2, 3, figsize=(18, 9.))\n",
"for face, ax in enumerate(axs.ravel()):\n",
" \n",
" # My data\n",
" xxs = new_xgrid[..., face].ravel()\n",
" yys = new_ygrid[..., face].ravel()\n",
" ax.scatter(xxs, yys, color='k', marker='s', s=20)\n",
" \n",
" # Ref data\n",
" xxs = lone[..., face].ravel()\n",
" yys = late[..., face].ravel()\n",
" ax.scatter(xxs, yys, color='r', marker='o', s=5)\n",
" \n",
" ax.set_title(\"face {}\".format(face+1), loc='right')"
]
},
{
"cell_type": "code",
"execution_count": 542,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x11af310f0>"
]
},
"execution_count": 542,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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8PWGRuVfmu1H0Lh7oXYaPvpbeER0Y3JFa4GvEsczEtSao6ms6wsrRQjn0LiOv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BhEafiinBxocGGaAXKHKNJo88gdyB1Qjc4dCoX57/ZQl8FRV/ZQl8FRV/ZQl8FRV/ZQlzBB5w6F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\ninwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122714d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(new_xgrid.ravel(), new_ygrid.ravel(), color='k', marker='s', s=20)\n",
"plt.scatter(lone.ravel(), late.ravel(), color='r', marker='o', s=5)"
]
},
{
"cell_type": "code",
"execution_count": 543,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lon_edge, lat_edge = new_xgrid.copy(), new_ygrid.copy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Clean up the grid"
]
},
{
"cell_type": "code",
"execution_count": 544,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"offset = np.pi/18.\n",
"\n",
"if offset is not None:\n",
" lon_edge = lon_edge - offset\n",
"\n",
"for i, j, f in product(range(c+1), range(c+1), range(6)):\n",
" new_lon = lon_edge[i, j, f]\n",
" if new_lon < 0:\n",
" new_lon+= 2*np.pi\n",
" if np.abs(new_lon) < 1e-10:\n",
" new_lon = 0.\n",
" lon_edge[i, j, f] = new_lon\n",
" \n",
" if np.abs(lat_edge[i, j, f]) < 1e-10:\n",
" lat_edge[i, j, f] = 0.\n",
" \n",
"lon_edge_deg = np.rad2deg(lon_edge)\n",
"lat_edge_deg = np.rad2deg(lat_edge)"
]
},
{
"cell_type": "code",
"execution_count": 545,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x11e11a978>"
]
},
"execution_count": 545,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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sAj9KpZKQkBDCwsLw9vYu0Xd27Ngxxo8fT/fu3WnWrBmSJLFp0yZ5MU8PDw/C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cOLuub+QMhYWFWLZsGd566y3069fPrN+RSCSYN28eFi5ciOnTp3c6VNSUhoYGVFVVISsry/iY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122361780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import cartopy.crs as ccrs\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection=ccrs.PlateCarree())\n",
"\n",
"ax.coastlines()\n",
"ax.scatter(lon_edge_deg.ravel(), lat_edge_deg.ravel(), \n",
" color='k', marker='s', s=20,\n",
" transform=ccrs.Geodetic())\n",
"# ax.scatter(lone.ravel(), late.ravel(), color='r', marker='o', s=5,\n",
"# transform=ccrs.PlateCarree())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculate Cell Centroids"
]
},
{
"cell_type": "code",
"execution_count": 546,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"lon_ctr = np.zeros((c, c, 6))\n",
"lat_ctr = np.zeros((c, c, 6))\n",
"xyz_ctr = np.zeros((3, c, c, 6))\n",
"xyz_edge = np.zeros((3, c+1, c+1, 6))\n",
"\n",
"for f in range(6):\n",
" for i in range(c):\n",
" last_x = (i == (c-1))\n",
" for j in range(c):\n",
" last_y = (j == (c-1))\n",
" \n",
" # Get the four corners\n",
" lat_corner = [lat_edge[ i, j, f], lat_edge[i+1, j, f],\n",
" lat_edge[i+1, j+1, f], lat_edge[ i, j+1, f]]\n",
" lon_corner = [lon_edge[ i, j, f], lon_edge[i+1, j, f],\n",
" lon_edge[i+1, j+1, f], lon_edge[ i, j+1, f]]\n",
" \n",
" # Convert from lat-lon back to cartesian\n",
" xyz_corner = np.asarray(vec_latlon_to_cartesian(lon_corner, lat_corner))\n",
" \n",
" # Store the edge information\n",
" xyz_edge[:, i, j, f] = xyz_corner[:, 0]\n",
" if last_x: \n",
" xyz_edge[:, i+1, j, f] = xyz_corner[:, 1]\n",
" if last_x or last_y:\n",
" xyz_edge[:, i+1, j+1, f] = xyz_corner[:, 2]\n",
" if last_y:\n",
" xyz_edge[:, i, j+1, f] = xyz_corner[:, 3]\n",
" \n",
" e_mid = np.sum(xyz_corner, axis=1)\n",
" e_abs = np.sqrt(np.sum(e_mid * e_mid))\n",
" if e_abs > 0:\n",
" e_mid = e_mid / e_abs\n",
" \n",
" xyz_ctr[:, i, j, f] = e_mid\n",
" _lon, _lat = cartesian_to_latlon(*e_mid)\n",
" lon_ctr[i, j, f] = _lon\n",
" lat_ctr[i, j, f] = _lat\n",
" \n",
"lon_ctr_deg = np.rad2deg(lon_ctr)\n",
"lat_ctr_deg = np.rad2deg(lat_ctr)"
]
},
{
"cell_type": "code",
"execution_count": 547,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x12543b320>"
]
},
"execution_count": 547,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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9FV555ZXU3//iL/4C//AP/wAA+N3vfoe//du/xYsvvggAWLt2Lb74xS/isssu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x122361898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(lon_edge_deg.ravel(), lat_edge_deg.ravel(), color='k', marker='s', s=20)\n",
"plt.scatter(lon_ctr_deg.ravel(), lat_ctr_deg.ravel(), color='b', marker='.')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot Face\n",
"\n",
"To plot the data, we'll use a 2D Gaussian bell as a test function. For starters we'll apply this function to each grid cell center."
]
},
{
"cell_type": "code",
"execution_count": 609,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"(-90, 90)"
]
},
"execution_count": 609,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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