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StanczakDominik/xarray-grids.ipynb

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Experiments with grids in Xarray
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xarray-grids.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%config InteractiveShell.ast_node_interactivity = 'last_expr_or_assign'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import xarray\n",
"import astropy.units as u"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
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"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" *empty*</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-e27c7d2b-4164-42d3-93db-d357be1ad911' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-e27c7d2b-4164-42d3-93db-d357be1ad911' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>direction</span>: 3</li><li><span class='xr-has-index'>x</span>: 50</li><li><span class='xr-has-index'>y</span>: 51</li><li><span class='xr-has-index'>z</span>: 52</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-324ee82d-cec7-4a1e-a2ff-07dcded650f1' class='xr-section-summary-in' type='checkbox' checked><label for='section-324ee82d-cec7-4a1e-a2ff-07dcded650f1' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0 -0.9592 -0.9184 ... 0.9592 1.0</div><input id='attrs-c467e3f6-ff51-4537-9779-9f3492a4470b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c467e3f6-ff51-4537-9779-9f3492a4470b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6de1e1d4-d345-4759-a8e5-a472ded93572' class='xr-var-data-in' type='checkbox'><label for='data-6de1e1d4-d345-4759-a8e5-a472ded93572' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-1. , -0.959184, -0.918367, -0.877551, -0.836735, -0.795918,\n",
" -0.755102, -0.714286, -0.673469, -0.632653, -0.591837, -0.55102 ,\n",
" -0.510204, -0.469388, -0.428571, -0.387755, -0.346939, -0.306122,\n",
" -0.265306, -0.22449 , -0.183673, -0.142857, -0.102041, -0.061224,\n",
" -0.020408, 0.020408, 0.061224, 0.102041, 0.142857, 0.183673,\n",
" 0.22449 , 0.265306, 0.306122, 0.346939, 0.387755, 0.428571,\n",
" 0.469388, 0.510204, 0.55102 , 0.591837, 0.632653, 0.673469,\n",
" 0.714286, 0.755102, 0.795918, 0.836735, 0.877551, 0.918367,\n",
" 0.959184, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0 -9.6 -9.2 ... 9.2 9.6 10.0</div><input id='attrs-3b282ef9-c8c7-4efd-ba52-7ab7d5a1f69e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3b282ef9-c8c7-4efd-ba52-7ab7d5a1f69e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4991e31a-65b5-4c68-8d88-34705ad98c9a' class='xr-var-data-in' type='checkbox'><label for='data-4991e31a-65b5-4c68-8d88-34705ad98c9a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-10. , -9.6, -9.2, -8.8, -8.4, -8. , -7.6, -7.2, -6.8, -6.4,\n",
" -6. , -5.6, -5.2, -4.8, -4.4, -4. , -3.6, -3.2, -2.8, -2.4,\n",
" -2. , -1.6, -1.2, -0.8, -0.4, 0. , 0.4, 0.8, 1.2, 1.6,\n",
" 2. , 2.4, 2.8, 3.2, 3.6, 4. , 4.4, 4.8, 5.2, 5.6,\n",
" 6. , 6.4, 6.8, 7.2, 7.6, 8. , 8.4, 8.8, 9.2, 9.6,\n",
" 10. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0 -96.08 ... 96.08 100.0</div><input id='attrs-9b2ca4fc-6803-480a-9bbe-8ed1cc6ec75b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9b2ca4fc-6803-480a-9bbe-8ed1cc6ec75b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-edb79bb6-103f-44b9-a935-a2e5f7c7ad09' class='xr-var-data-in' type='checkbox'><label for='data-edb79bb6-103f-44b9-a935-a2e5f7c7ad09' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-100. , -96.078431, -92.156863, -88.235294, -84.313725,\n",
" -80.392157, -76.470588, -72.54902 , -68.627451, -64.705882,\n",
" -60.784314, -56.862745, -52.941176, -49.019608, -45.098039,\n",
" -41.176471, -37.254902, -33.333333, -29.411765, -25.490196,\n",
" -21.568627, -17.647059, -13.72549 , -9.803922, -5.882353,\n",
" -1.960784, 1.960784, 5.882353, 9.803922, 13.72549 ,\n",
" 17.647059, 21.568627, 25.490196, 29.411765, 33.333333,\n",
" 37.254902, 41.176471, 45.098039, 49.019608, 52.941176,\n",
" 56.862745, 60.784314, 64.705882, 68.627451, 72.54902 ,\n",
" 76.470588, 80.392157, 84.313725, 88.235294, 92.156863,\n",
" 96.078431, 100. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>direction</span></div><div class='xr-var-dims'>(direction)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-96892614-5f9e-4016-8137-d6a4654d3cb4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-96892614-5f9e-4016-8137-d6a4654d3cb4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-27406f54-8c66-4bf9-b735-c0ddf0133f66' class='xr-var-data-in' type='checkbox'><label for='data-27406f54-8c66-4bf9-b735-c0ddf0133f66' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-a14469e5-519f-426e-85c3-f205ab712bd2' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-a14469e5-519f-426e-85c3-f205ab712bd2' class='xr-section-summary' title='Expand/collapse section'>Data variables: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-4870bdcb-1d82-4cfd-a4cf-3d0a7e6f00ca' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-4870bdcb-1d82-4cfd-a4cf-3d0a7e6f00ca' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" *empty*"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.linspace(-1, 1, 50)\n",
"y = np.linspace(-10, 10, 51)\n",
"z = np.linspace(-100, 100, 52)\n",
"direction = range(3)\n",
"\n",
"grid = xarray.Dataset(coords=dict(x=x, y=y, z=z, direction=direction))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 ... 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" distance_from_center (x, y, z) float64 1.01e+04 9.332e+03 ... 1.01e+04</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-0dca72f5-9d90-481a-a387-2829126c0153' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0dca72f5-9d90-481a-a387-2829126c0153' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>direction</span>: 3</li><li><span class='xr-has-index'>x</span>: 50</li><li><span class='xr-has-index'>y</span>: 51</li><li><span class='xr-has-index'>z</span>: 52</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-edc6e780-f1f5-4b96-b60c-df78a69972fc' class='xr-section-summary-in' type='checkbox' checked><label for='section-edc6e780-f1f5-4b96-b60c-df78a69972fc' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0 -0.9592 -0.9184 ... 0.9592 1.0</div><input id='attrs-9f1e359d-ea56-462a-ab3d-7b24744575ca' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9f1e359d-ea56-462a-ab3d-7b24744575ca' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6de2d3c3-839a-4cb0-81f1-59589120cf19' class='xr-var-data-in' type='checkbox'><label for='data-6de2d3c3-839a-4cb0-81f1-59589120cf19' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-1. , -0.959184, -0.918367, -0.877551, -0.836735, -0.795918,\n",
" -0.755102, -0.714286, -0.673469, -0.632653, -0.591837, -0.55102 ,\n",
" -0.510204, -0.469388, -0.428571, -0.387755, -0.346939, -0.306122,\n",
" -0.265306, -0.22449 , -0.183673, -0.142857, -0.102041, -0.061224,\n",
" -0.020408, 0.020408, 0.061224, 0.102041, 0.142857, 0.183673,\n",
" 0.22449 , 0.265306, 0.306122, 0.346939, 0.387755, 0.428571,\n",
" 0.469388, 0.510204, 0.55102 , 0.591837, 0.632653, 0.673469,\n",
" 0.714286, 0.755102, 0.795918, 0.836735, 0.877551, 0.918367,\n",
" 0.959184, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0 -9.6 -9.2 ... 9.2 9.6 10.0</div><input id='attrs-e02e0caf-e6db-4a94-9808-9cb5de0a1f3f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e02e0caf-e6db-4a94-9808-9cb5de0a1f3f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8e0bca2a-9f7d-46d7-a602-4d1fefa6dddb' class='xr-var-data-in' type='checkbox'><label for='data-8e0bca2a-9f7d-46d7-a602-4d1fefa6dddb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-10. , -9.6, -9.2, -8.8, -8.4, -8. , -7.6, -7.2, -6.8, -6.4,\n",
" -6. , -5.6, -5.2, -4.8, -4.4, -4. , -3.6, -3.2, -2.8, -2.4,\n",
" -2. , -1.6, -1.2, -0.8, -0.4, 0. , 0.4, 0.8, 1.2, 1.6,\n",
" 2. , 2.4, 2.8, 3.2, 3.6, 4. , 4.4, 4.8, 5.2, 5.6,\n",
" 6. , 6.4, 6.8, 7.2, 7.6, 8. , 8.4, 8.8, 9.2, 9.6,\n",
" 10. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0 -96.08 ... 96.08 100.0</div><input id='attrs-1dbbcf3d-c4d6-45e5-98b8-3370348fda3c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-1dbbcf3d-c4d6-45e5-98b8-3370348fda3c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5f28e598-b4dd-423e-b962-41e257b6d5bf' class='xr-var-data-in' type='checkbox'><label for='data-5f28e598-b4dd-423e-b962-41e257b6d5bf' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-100. , -96.078431, -92.156863, -88.235294, -84.313725,\n",
" -80.392157, -76.470588, -72.54902 , -68.627451, -64.705882,\n",
" -60.784314, -56.862745, -52.941176, -49.019608, -45.098039,\n",
" -41.176471, -37.254902, -33.333333, -29.411765, -25.490196,\n",
" -21.568627, -17.647059, -13.72549 , -9.803922, -5.882353,\n",
" -1.960784, 1.960784, 5.882353, 9.803922, 13.72549 ,\n",
" 17.647059, 21.568627, 25.490196, 29.411765, 33.333333,\n",
" 37.254902, 41.176471, 45.098039, 49.019608, 52.941176,\n",
" 56.862745, 60.784314, 64.705882, 68.627451, 72.54902 ,\n",
" 76.470588, 80.392157, 84.313725, 88.235294, 92.156863,\n",
" 96.078431, 100. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>direction</span></div><div class='xr-var-dims'>(direction)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-47d0c4eb-32eb-41b3-889e-166efa8af186' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-47d0c4eb-32eb-41b3-889e-166efa8af186' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2a9c2c35-26e8-48d6-8556-069c97cd6157' class='xr-var-data-in' type='checkbox'><label for='data-2a9c2c35-26e8-48d6-8556-069c97cd6157' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3cb21e2b-4fac-477e-85e7-e5b89faac0c7' class='xr-section-summary-in' type='checkbox' checked><label for='section-3cb21e2b-4fac-477e-85e7-e5b89faac0c7' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>distance_from_center</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.01e+04 9.332e+03 ... 1.01e+04</div><input id='attrs-79043b98-184f-41d6-beee-71e2ba2b697c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-79043b98-184f-41d6-beee-71e2ba2b697c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3ba7868b-6bf6-4003-96b0-fde29a597272' class='xr-var-data-in' type='checkbox'><label for='data-3ba7868b-6bf6-4003-96b0-fde29a597272' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ]],\n",
"\n",
" [[10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
" 8593.80738434, 9331.98500833, 10100.92003332],\n",
" [10093.08003332, 9324.14500833, 8585.96738434, ...,\n",
" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10085.56003332, 9316.62500833, 8578.44738434, ...,\n",
" 8578.44738434, 9316.62500833, 10085.56003332],\n",
"...\n",
" [10085.56003332, 9316.62500833, 8578.44738434, ...,\n",
" 8578.44738434, 9316.62500833, 10085.56003332],\n",
" [10093.08003332, 9324.14500833, 8585.96738434, ...,\n",
" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
" 8593.80738434, 9331.98500833, 10100.92003332]],\n",
"\n",
" [[10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-72faa85d-06a3-431c-801f-40f8e5ebac74' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-72faa85d-06a3-431c-801f-40f8e5ebac74' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
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"<xarray.Dataset>\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 ... 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 ... 92.16 96.08 100.0\n",
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"Data variables:\n",
" distance_from_center (x, y, z) float64 1.01e+04 9.332e+03 ... 1.01e+04"
]
},
"execution_count": 4,
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],
"source": [
"grid['distance_from_center'] = (grid.x**2 + grid.y**2 + grid.z**2)\n",
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{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
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"</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;distance_from_center&#x27; ()&gt;\n",
"array(10101.)\n",
"Coordinates:\n",
" x float64 -1.0\n",
" y float64 -10.0\n",
" z float64 -100.0</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'distance_from_center'</div></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-333d4ad2-9448-4b62-a2c1-802abeade249' class='xr-array-in' type='checkbox' checked><label for='section-333d4ad2-9448-4b62-a2c1-802abeade249' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>1.01e+04</span></div><div class='xr-array-data'><pre>array(10101.)</pre></div></div></li><li class='xr-section-item'><input id='section-6edf4e15-d098-41ed-8a2a-07a66accc00c' class='xr-section-summary-in' type='checkbox' checked><label for='section-6edf4e15-d098-41ed-8a2a-07a66accc00c' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>x</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0</div><input id='attrs-26e34213-2a6b-4ef6-a1ab-9f0b89c6c9ba' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-26e34213-2a6b-4ef6-a1ab-9f0b89c6c9ba' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-abc4be2e-083c-4dab-aae3-d6cd84f7e430' class='xr-var-data-in' type='checkbox'><label for='data-abc4be2e-083c-4dab-aae3-d6cd84f7e430' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(-1.)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>y</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0</div><input id='attrs-63f71a02-c1c2-4530-9201-b2095d23a6af' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-63f71a02-c1c2-4530-9201-b2095d23a6af' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c9b369ad-9ee2-47bd-80de-1955ce7438bf' class='xr-var-data-in' type='checkbox'><label for='data-c9b369ad-9ee2-47bd-80de-1955ce7438bf' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(-10.)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>z</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0</div><input id='attrs-405410fd-e89b-4af9-b954-a8477e6b9695' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-405410fd-e89b-4af9-b954-a8477e6b9695' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-121b85f3-7700-422e-b27d-da39c1c45dd1' class='xr-var-data-in' type='checkbox'><label for='data-121b85f3-7700-422e-b27d-da39c1c45dd1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(-100.)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-2859eddf-79fc-4be7-8290-00030de8a400' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-2859eddf-79fc-4be7-8290-00030de8a400' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.DataArray 'distance_from_center' ()>\n",
"array(10101.)\n",
"Coordinates:\n",
" x float64 -1.0\n",
" y float64 -10.0\n",
" z float64 -100.0"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid.distance_from_center.isel(dict(x=0, y=0, z=0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And there's a numpy array underneath:"
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{
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"execution_count": 6,
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" 8586.04735102, 9324.22497501, 10093.16 ],\n",
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" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
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" 8578.52735102, 9316.70497501, 10085.64 ],\n",
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" 8593.88735102, 9332.06497501, 10101. ]],\n",
"\n",
" [[10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
" 8593.80738434, 9331.98500833, 10100.92003332],\n",
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" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10085.56003332, 9316.62500833, 8578.44738434, ...,\n",
" 8578.44738434, 9316.62500833, 10085.56003332],\n",
" ...,\n",
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" 8578.44738434, 9316.62500833, 10085.56003332],\n",
" [10093.08003332, 9324.14500833, 8585.96738434, ...,\n",
" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
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"\n",
" [[10100.84339858, 9331.90837359, 8593.7307496 , ...,\n",
" 8593.7307496 , 9331.90837359, 10100.84339858],\n",
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" 8578.3707496 , 9316.54837359, 10085.48339858],\n",
" ...,\n",
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" 8578.3707496 , 9316.54837359, 10085.48339858],\n",
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" [10100.84339858, 9331.90837359, 8593.7307496 , ...,\n",
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"\n",
" ...,\n",
"\n",
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" 8593.7307496 , 9331.90837359, 10100.84339858],\n",
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" 8578.3707496 , 9316.54837359, 10085.48339858],\n",
" ...,\n",
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"\n",
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" 8578.44738434, 9316.62500833, 10085.56003332],\n",
" ...,\n",
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" 8578.44738434, 9316.62500833, 10085.56003332],\n",
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" 8593.80738434, 9331.98500833, 10100.92003332]],\n",
"\n",
" [[10101. , 9332.06497501, 8593.88735102, ...,\n",
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" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
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" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ]]])"
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".xr-var-data-in:checked ~ .xr-var-data {\n",
" display: block;\n",
"}\n",
"\n",
".xr-var-data > table {\n",
" float: right;\n",
"}\n",
"\n",
".xr-var-name span,\n",
".xr-var-data,\n",
".xr-attrs {\n",
" padding-left: 25px !important;\n",
"}\n",
"\n",
".xr-attrs,\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" grid-column: 1 / -1;\n",
"}\n",
"\n",
"dl.xr-attrs {\n",
" padding: 0;\n",
" margin: 0;\n",
" display: grid;\n",
" grid-template-columns: 125px auto;\n",
"}\n",
"\n",
".xr-attrs dt, dd {\n",
" padding: 0;\n",
" margin: 0;\n",
" float: left;\n",
" padding-right: 10px;\n",
" width: auto;\n",
"}\n",
"\n",
".xr-attrs dt {\n",
" font-weight: normal;\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-attrs dt:hover span {\n",
" display: inline-block;\n",
" background: var(--xr-background-color);\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-attrs dd {\n",
" grid-column: 2;\n",
" white-space: pre-wrap;\n",
" word-break: break-all;\n",
"}\n",
"\n",
".xr-icon-database,\n",
".xr-icon-file-text2 {\n",
" display: inline-block;\n",
" vertical-align: middle;\n",
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" height: 1.5em !important;\n",
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"}\n",
"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 ... 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" distance_from_center (x, y, z) float64 1.01e+04 9.332e+03 ... 1.01e+04\n",
" phi (x, y, z) float64 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-5449eaef-37f3-44ee-a200-d90e9fe9d54d' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-5449eaef-37f3-44ee-a200-d90e9fe9d54d' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>direction</span>: 3</li><li><span class='xr-has-index'>x</span>: 50</li><li><span class='xr-has-index'>y</span>: 51</li><li><span class='xr-has-index'>z</span>: 52</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-d0907384-8122-4cde-8bf2-d54acf1bb8f2' class='xr-section-summary-in' type='checkbox' checked><label for='section-d0907384-8122-4cde-8bf2-d54acf1bb8f2' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0 -0.9592 -0.9184 ... 0.9592 1.0</div><input id='attrs-553b9166-876f-4516-8aa4-fe866882b27e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-553b9166-876f-4516-8aa4-fe866882b27e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-622cab65-6237-4c45-a15c-b1cc436ff06a' class='xr-var-data-in' type='checkbox'><label for='data-622cab65-6237-4c45-a15c-b1cc436ff06a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-1. , -0.959184, -0.918367, -0.877551, -0.836735, -0.795918,\n",
" -0.755102, -0.714286, -0.673469, -0.632653, -0.591837, -0.55102 ,\n",
" -0.510204, -0.469388, -0.428571, -0.387755, -0.346939, -0.306122,\n",
" -0.265306, -0.22449 , -0.183673, -0.142857, -0.102041, -0.061224,\n",
" -0.020408, 0.020408, 0.061224, 0.102041, 0.142857, 0.183673,\n",
" 0.22449 , 0.265306, 0.306122, 0.346939, 0.387755, 0.428571,\n",
" 0.469388, 0.510204, 0.55102 , 0.591837, 0.632653, 0.673469,\n",
" 0.714286, 0.755102, 0.795918, 0.836735, 0.877551, 0.918367,\n",
" 0.959184, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0 -9.6 -9.2 ... 9.2 9.6 10.0</div><input id='attrs-be4e9e35-c082-47be-9c72-12572b38e53c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-be4e9e35-c082-47be-9c72-12572b38e53c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c6c6053b-49e9-4798-8da7-078f2884ff59' class='xr-var-data-in' type='checkbox'><label for='data-c6c6053b-49e9-4798-8da7-078f2884ff59' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-10. , -9.6, -9.2, -8.8, -8.4, -8. , -7.6, -7.2, -6.8, -6.4,\n",
" -6. , -5.6, -5.2, -4.8, -4.4, -4. , -3.6, -3.2, -2.8, -2.4,\n",
" -2. , -1.6, -1.2, -0.8, -0.4, 0. , 0.4, 0.8, 1.2, 1.6,\n",
" 2. , 2.4, 2.8, 3.2, 3.6, 4. , 4.4, 4.8, 5.2, 5.6,\n",
" 6. , 6.4, 6.8, 7.2, 7.6, 8. , 8.4, 8.8, 9.2, 9.6,\n",
" 10. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0 -96.08 ... 96.08 100.0</div><input id='attrs-c658c439-d314-417d-8c7c-13313165c50b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c658c439-d314-417d-8c7c-13313165c50b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d89d2e21-7eee-4b56-a3dc-bc403040c016' class='xr-var-data-in' type='checkbox'><label for='data-d89d2e21-7eee-4b56-a3dc-bc403040c016' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-100. , -96.078431, -92.156863, -88.235294, -84.313725,\n",
" -80.392157, -76.470588, -72.54902 , -68.627451, -64.705882,\n",
" -60.784314, -56.862745, -52.941176, -49.019608, -45.098039,\n",
" -41.176471, -37.254902, -33.333333, -29.411765, -25.490196,\n",
" -21.568627, -17.647059, -13.72549 , -9.803922, -5.882353,\n",
" -1.960784, 1.960784, 5.882353, 9.803922, 13.72549 ,\n",
" 17.647059, 21.568627, 25.490196, 29.411765, 33.333333,\n",
" 37.254902, 41.176471, 45.098039, 49.019608, 52.941176,\n",
" 56.862745, 60.784314, 64.705882, 68.627451, 72.54902 ,\n",
" 76.470588, 80.392157, 84.313725, 88.235294, 92.156863,\n",
" 96.078431, 100. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>direction</span></div><div class='xr-var-dims'>(direction)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-3ed091bd-f3cc-4778-b3c6-9f0bf496b317' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3ed091bd-f3cc-4778-b3c6-9f0bf496b317' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7b3ba979-4c10-4f68-9b0c-12ca7aebfd12' class='xr-var-data-in' type='checkbox'><label for='data-7b3ba979-4c10-4f68-9b0c-12ca7aebfd12' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-a64295b4-6ddd-4d9a-ab66-08e9b3e2485a' class='xr-section-summary-in' type='checkbox' checked><label for='section-a64295b4-6ddd-4d9a-ab66-08e9b3e2485a' class='xr-section-summary' >Data variables: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>distance_from_center</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.01e+04 9.332e+03 ... 1.01e+04</div><input id='attrs-a391189f-7e4c-4d4c-8499-9008cd1fa571' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a391189f-7e4c-4d4c-8499-9008cd1fa571' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f0bf4232-f0ff-4531-8143-398b9d2339e0' class='xr-var-data-in' type='checkbox'><label for='data-f0bf4232-f0ff-4531-8143-398b9d2339e0' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ]],\n",
"\n",
" [[10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
" 8593.80738434, 9331.98500833, 10100.92003332],\n",
" [10093.08003332, 9324.14500833, 8585.96738434, ...,\n",
" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10085.56003332, 9316.62500833, 8578.44738434, ...,\n",
" 8578.44738434, 9316.62500833, 10085.56003332],\n",
"...\n",
" [10085.56003332, 9316.62500833, 8578.44738434, ...,\n",
" 8578.44738434, 9316.62500833, 10085.56003332],\n",
" [10093.08003332, 9324.14500833, 8585.96738434, ...,\n",
" 8585.96738434, 9324.14500833, 10093.08003332],\n",
" [10100.92003332, 9331.98500833, 8593.80738434, ...,\n",
" 8593.80738434, 9331.98500833, 10100.92003332]],\n",
"\n",
" [[10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" ...,\n",
" [10085.64 , 9316.70497501, 8578.52735102, ...,\n",
" 8578.52735102, 9316.70497501, 10085.64 ],\n",
" [10093.16 , 9324.22497501, 8586.04735102, ...,\n",
" 8586.04735102, 9324.22497501, 10093.16 ],\n",
" [10101. , 9332.06497501, 8593.88735102, ...,\n",
" 8593.88735102, 9332.06497501, 10101. ]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>phi</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0</div><input id='attrs-8d8d2e8d-4254-41e1-ad95-a1e29944bca6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8d8d2e8d-4254-41e1-ad95-a1e29944bca6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bdec8d0a-5267-4eb3-89b0-1d1992d9840d' class='xr-var-data-in' type='checkbox'><label for='data-bdec8d0a-5267-4eb3-89b0-1d1992d9840d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b5f446b7-5bc2-4927-869e-18eb4c30c288' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-b5f446b7-5bc2-4927-869e-18eb4c30c288' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 ... 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" distance_from_center (x, y, z) float64 1.01e+04 9.332e+03 ... 1.01e+04\n",
" phi (x, y, z) float64 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r = grid.distance_from_center\n",
"a = 10\n",
"phi = np.exp(-(r/a)**2)\n",
"grid['phi'] = phi\n",
"grid"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
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" --xr-background-color: var(--jp-layout-color0, white);\n",
" --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
" --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
"}\n",
"\n",
"html[theme=dark],\n",
"body.vscode-dark {\n",
" --xr-font-color0: rgba(255, 255, 255, 1);\n",
" --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
" --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
" --xr-border-color: #1F1F1F;\n",
" --xr-disabled-color: #515151;\n",
" --xr-background-color: #111111;\n",
" --xr-background-color-row-even: #111111;\n",
" --xr-background-color-row-odd: #313131;\n",
"}\n",
"\n",
".xr-wrap {\n",
" display: block;\n",
" min-width: 300px;\n",
" max-width: 700px;\n",
"}\n",
"\n",
".xr-text-repr-fallback {\n",
" /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
" display: none;\n",
"}\n",
"\n",
".xr-header {\n",
" padding-top: 6px;\n",
" padding-bottom: 6px;\n",
" margin-bottom: 4px;\n",
" border-bottom: solid 1px var(--xr-border-color);\n",
"}\n",
"\n",
".xr-header > div,\n",
".xr-header > ul {\n",
" display: inline;\n",
" margin-top: 0;\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-obj-type,\n",
".xr-array-name {\n",
" margin-left: 2px;\n",
" margin-right: 10px;\n",
"}\n",
"\n",
".xr-obj-type {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-sections {\n",
" padding-left: 0 !important;\n",
" display: grid;\n",
" grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
"}\n",
"\n",
".xr-section-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-section-item input {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-item input + label {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label {\n",
" cursor: pointer;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label:hover {\n",
" color: var(--xr-font-color0);\n",
"}\n",
"\n",
".xr-section-summary {\n",
" grid-column: 1;\n",
" color: var(--xr-font-color2);\n",
" font-weight: 500;\n",
"}\n",
"\n",
".xr-section-summary > span {\n",
" display: inline-block;\n",
" padding-left: 0.5em;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-summary-in + label:before {\n",
" display: inline-block;\n",
" content: '►';\n",
" font-size: 11px;\n",
" width: 15px;\n",
" text-align: center;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label:before {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label:before {\n",
" content: '▼';\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label > span {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-summary,\n",
".xr-section-inline-details {\n",
" padding-top: 4px;\n",
" padding-bottom: 4px;\n",
"}\n",
"\n",
".xr-section-inline-details {\n",
" grid-column: 2 / -1;\n",
"}\n",
"\n",
".xr-section-details {\n",
" display: none;\n",
" grid-column: 1 / -1;\n",
" margin-bottom: 5px;\n",
"}\n",
"\n",
".xr-section-summary-in:checked ~ .xr-section-details {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-array-wrap {\n",
" grid-column: 1 / -1;\n",
" display: grid;\n",
" grid-template-columns: 20px auto;\n",
"}\n",
"\n",
".xr-array-wrap > label {\n",
" grid-column: 1;\n",
" vertical-align: top;\n",
"}\n",
"\n",
".xr-preview {\n",
" color: var(--xr-font-color3);\n",
"}\n",
"\n",
".xr-array-preview,\n",
".xr-array-data {\n",
" padding: 0 5px !important;\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-array-data,\n",
".xr-array-in:checked ~ .xr-array-preview {\n",
" display: none;\n",
"}\n",
"\n",
".xr-array-in:checked ~ .xr-array-data,\n",
".xr-array-preview {\n",
" display: inline-block;\n",
"}\n",
"\n",
".xr-dim-list {\n",
" display: inline-block !important;\n",
" list-style: none;\n",
" padding: 0 !important;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list li {\n",
" display: inline-block;\n",
" padding: 0;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list:before {\n",
" content: '(';\n",
"}\n",
"\n",
".xr-dim-list:after {\n",
" content: ')';\n",
"}\n",
"\n",
".xr-dim-list li:not(:last-child):after {\n",
" content: ',';\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-has-index {\n",
" font-weight: bold;\n",
"}\n",
"\n",
".xr-var-list,\n",
".xr-var-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-var-item > div,\n",
".xr-var-item label,\n",
".xr-var-item > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-even);\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-var-item > .xr-var-name:hover span {\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-var-list > li:nth-child(odd) > div,\n",
".xr-var-list > li:nth-child(odd) > label,\n",
".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-odd);\n",
"}\n",
"\n",
".xr-var-name {\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-var-dims {\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-var-dtype {\n",
" grid-column: 3;\n",
" text-align: right;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-var-preview {\n",
" grid-column: 4;\n",
"}\n",
"\n",
".xr-var-name,\n",
".xr-var-dims,\n",
".xr-var-dtype,\n",
".xr-preview,\n",
".xr-attrs dt {\n",
" white-space: nowrap;\n",
" overflow: hidden;\n",
" text-overflow: ellipsis;\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-var-name:hover,\n",
".xr-var-dims:hover,\n",
".xr-var-dtype:hover,\n",
".xr-attrs dt:hover {\n",
" overflow: visible;\n",
" width: auto;\n",
" z-index: 1;\n",
"}\n",
"\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" display: none;\n",
" background-color: var(--xr-background-color) !important;\n",
" padding-bottom: 5px !important;\n",
"}\n",
"\n",
".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
".xr-var-data-in:checked ~ .xr-var-data {\n",
" display: block;\n",
"}\n",
"\n",
".xr-var-data > table {\n",
" float: right;\n",
"}\n",
"\n",
".xr-var-name span,\n",
".xr-var-data,\n",
".xr-attrs {\n",
" padding-left: 25px !important;\n",
"}\n",
"\n",
".xr-attrs,\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" grid-column: 1 / -1;\n",
"}\n",
"\n",
"dl.xr-attrs {\n",
" padding: 0;\n",
" margin: 0;\n",
" display: grid;\n",
" grid-template-columns: 125px auto;\n",
"}\n",
"\n",
".xr-attrs dt, dd {\n",
" padding: 0;\n",
" margin: 0;\n",
" float: left;\n",
" padding-right: 10px;\n",
" width: auto;\n",
"}\n",
"\n",
".xr-attrs dt {\n",
" font-weight: normal;\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-attrs dt:hover span {\n",
" display: inline-block;\n",
" background: var(--xr-background-color);\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-attrs dd {\n",
" grid-column: 2;\n",
" white-space: pre-wrap;\n",
" word-break: break-all;\n",
"}\n",
"\n",
".xr-icon-database,\n",
".xr-icon-file-text2 {\n",
" display: inline-block;\n",
" vertical-align: middle;\n",
" width: 1em;\n",
" height: 1.5em !important;\n",
" stroke-width: 0;\n",
" stroke: currentColor;\n",
" fill: currentColor;\n",
"}\n",
"</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;phi&#x27; (x: 50, y: 51, z: 52)&gt;\n",
"array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 -8.0 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 88.24 92.16 96.08 100.0</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'phi'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 50</li><li><span class='xr-has-index'>y</span>: 51</li><li><span class='xr-has-index'>z</span>: 52</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-24cdbd07-3c56-4b99-ab34-dcbf05e4237f' class='xr-array-in' type='checkbox' checked><label for='section-24cdbd07-3c56-4b99-ab34-dcbf05e4237f' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0</span></div><div class='xr-array-data'><pre>array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])</pre></div></div></li><li class='xr-section-item'><input id='section-88bf252c-1283-485f-965e-af850b7ffee3' class='xr-section-summary-in' type='checkbox' checked><label for='section-88bf252c-1283-485f-965e-af850b7ffee3' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0 -0.9592 -0.9184 ... 0.9592 1.0</div><input id='attrs-b5696330-c838-46de-97b3-ef7f7f387ab9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b5696330-c838-46de-97b3-ef7f7f387ab9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b82020a1-0808-4f24-bb49-620c7dc47f7d' class='xr-var-data-in' type='checkbox'><label for='data-b82020a1-0808-4f24-bb49-620c7dc47f7d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-1. , -0.959184, -0.918367, -0.877551, -0.836735, -0.795918,\n",
" -0.755102, -0.714286, -0.673469, -0.632653, -0.591837, -0.55102 ,\n",
" -0.510204, -0.469388, -0.428571, -0.387755, -0.346939, -0.306122,\n",
" -0.265306, -0.22449 , -0.183673, -0.142857, -0.102041, -0.061224,\n",
" -0.020408, 0.020408, 0.061224, 0.102041, 0.142857, 0.183673,\n",
" 0.22449 , 0.265306, 0.306122, 0.346939, 0.387755, 0.428571,\n",
" 0.469388, 0.510204, 0.55102 , 0.591837, 0.632653, 0.673469,\n",
" 0.714286, 0.755102, 0.795918, 0.836735, 0.877551, 0.918367,\n",
" 0.959184, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0 -9.6 -9.2 ... 9.2 9.6 10.0</div><input id='attrs-ba5fa4b1-09c5-470e-8c2e-17e550626c0e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ba5fa4b1-09c5-470e-8c2e-17e550626c0e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8ae88e4e-52a8-42f7-a2da-bbfc85a0b3dc' class='xr-var-data-in' type='checkbox'><label for='data-8ae88e4e-52a8-42f7-a2da-bbfc85a0b3dc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-10. , -9.6, -9.2, -8.8, -8.4, -8. , -7.6, -7.2, -6.8, -6.4,\n",
" -6. , -5.6, -5.2, -4.8, -4.4, -4. , -3.6, -3.2, -2.8, -2.4,\n",
" -2. , -1.6, -1.2, -0.8, -0.4, 0. , 0.4, 0.8, 1.2, 1.6,\n",
" 2. , 2.4, 2.8, 3.2, 3.6, 4. , 4.4, 4.8, 5.2, 5.6,\n",
" 6. , 6.4, 6.8, 7.2, 7.6, 8. , 8.4, 8.8, 9.2, 9.6,\n",
" 10. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0 -96.08 ... 96.08 100.0</div><input id='attrs-be6cb216-a01c-4248-9a81-972c4cd67b09' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-be6cb216-a01c-4248-9a81-972c4cd67b09' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e9000eb0-9e02-40d8-a39a-843133de83eb' class='xr-var-data-in' type='checkbox'><label for='data-e9000eb0-9e02-40d8-a39a-843133de83eb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-100. , -96.078431, -92.156863, -88.235294, -84.313725,\n",
" -80.392157, -76.470588, -72.54902 , -68.627451, -64.705882,\n",
" -60.784314, -56.862745, -52.941176, -49.019608, -45.098039,\n",
" -41.176471, -37.254902, -33.333333, -29.411765, -25.490196,\n",
" -21.568627, -17.647059, -13.72549 , -9.803922, -5.882353,\n",
" -1.960784, 1.960784, 5.882353, 9.803922, 13.72549 ,\n",
" 17.647059, 21.568627, 25.490196, 29.411765, 33.333333,\n",
" 37.254902, 41.176471, 45.098039, 49.019608, 52.941176,\n",
" 56.862745, 60.784314, 64.705882, 68.627451, 72.54902 ,\n",
" 76.470588, 80.392157, 84.313725, 88.235294, 92.156863,\n",
" 96.078431, 100. ])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f111339e-a075-4125-8790-0e63a456708a' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-f111339e-a075-4125-8790-0e63a456708a' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
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"array([[[0., 0., 0., ..., 0., 0., 0.],\n",
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" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
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" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 -8.0 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 88.24 92.16 96.08 100.0"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ex = grid.phi.differentiate('x')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"Ey = grid.phi.differentiate('y')\n",
"Ez = grid.phi.differentiate('z');"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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".xr-section-summary-in + label:before {\n",
" display: inline-block;\n",
" content: '►';\n",
" font-size: 11px;\n",
" width: 15px;\n",
" text-align: center;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label:before {\n",
" color: var(--xr-disabled-color);\n",
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"\n",
".xr-section-summary-in:checked + label:before {\n",
" content: '▼';\n",
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"\n",
".xr-section-summary-in:checked + label > span {\n",
" display: none;\n",
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"\n",
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".xr-section-inline-details {\n",
" padding-top: 4px;\n",
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".xr-section-inline-details {\n",
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"\n",
".xr-section-details {\n",
" display: none;\n",
" grid-column: 1 / -1;\n",
" margin-bottom: 5px;\n",
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".xr-array-wrap > label {\n",
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".xr-var-item label,\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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" padding: 0;\n",
" margin: 0;\n",
" float: left;\n",
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" width: auto;\n",
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"\n",
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" font-weight: normal;\n",
" grid-column: 1;\n",
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"\n",
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" background: var(--xr-background-color);\n",
" padding-right: 10px;\n",
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"\n",
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"\n",
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"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" Ex (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0\n",
" Ey (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0\n",
" Ez (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-7120ac1e-b2a1-499b-8851-0b8a3c190bf9' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-7120ac1e-b2a1-499b-8851-0b8a3c190bf9' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>direction</span>: 3</li><li><span class='xr-has-index'>x</span>: 50</li><li><span class='xr-has-index'>y</span>: 51</li><li><span class='xr-has-index'>z</span>: 52</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-97158b67-36d7-4aed-adf0-d2873b5de5ff' class='xr-section-summary-in' type='checkbox' checked><label for='section-97158b67-36d7-4aed-adf0-d2873b5de5ff' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.0 -0.9592 -0.9184 ... 0.9592 1.0</div><input id='attrs-e8d074cf-3606-46bf-a2a4-917043f3f495' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e8d074cf-3606-46bf-a2a4-917043f3f495' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-88df162a-be61-4ffd-ba74-37044f9bd7ce' class='xr-var-data-in' type='checkbox'><label for='data-88df162a-be61-4ffd-ba74-37044f9bd7ce' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-1. , -0.959184, -0.918367, -0.877551, -0.836735, -0.795918,\n",
" -0.755102, -0.714286, -0.673469, -0.632653, -0.591837, -0.55102 ,\n",
" -0.510204, -0.469388, -0.428571, -0.387755, -0.346939, -0.306122,\n",
" -0.265306, -0.22449 , -0.183673, -0.142857, -0.102041, -0.061224,\n",
" -0.020408, 0.020408, 0.061224, 0.102041, 0.142857, 0.183673,\n",
" 0.22449 , 0.265306, 0.306122, 0.346939, 0.387755, 0.428571,\n",
" 0.469388, 0.510204, 0.55102 , 0.591837, 0.632653, 0.673469,\n",
" 0.714286, 0.755102, 0.795918, 0.836735, 0.877551, 0.918367,\n",
" 0.959184, 1. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-10.0 -9.6 -9.2 ... 9.2 9.6 10.0</div><input id='attrs-674c5848-4918-428f-8b04-7664ee3855ac' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-674c5848-4918-428f-8b04-7664ee3855ac' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-53b10d5a-a40e-4167-91dd-ff57b1e7fbec' class='xr-var-data-in' type='checkbox'><label for='data-53b10d5a-a40e-4167-91dd-ff57b1e7fbec' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-10. , -9.6, -9.2, -8.8, -8.4, -8. , -7.6, -7.2, -6.8, -6.4,\n",
" -6. , -5.6, -5.2, -4.8, -4.4, -4. , -3.6, -3.2, -2.8, -2.4,\n",
" -2. , -1.6, -1.2, -0.8, -0.4, 0. , 0.4, 0.8, 1.2, 1.6,\n",
" 2. , 2.4, 2.8, 3.2, 3.6, 4. , 4.4, 4.8, 5.2, 5.6,\n",
" 6. , 6.4, 6.8, 7.2, 7.6, 8. , 8.4, 8.8, 9.2, 9.6,\n",
" 10. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-100.0 -96.08 ... 96.08 100.0</div><input id='attrs-c293dd82-2a1e-4d73-ad7d-fe7205cc103d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c293dd82-2a1e-4d73-ad7d-fe7205cc103d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-face7928-8274-47d7-8afd-10ffa65a96da' class='xr-var-data-in' type='checkbox'><label for='data-face7928-8274-47d7-8afd-10ffa65a96da' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-100. , -96.078431, -92.156863, -88.235294, -84.313725,\n",
" -80.392157, -76.470588, -72.54902 , -68.627451, -64.705882,\n",
" -60.784314, -56.862745, -52.941176, -49.019608, -45.098039,\n",
" -41.176471, -37.254902, -33.333333, -29.411765, -25.490196,\n",
" -21.568627, -17.647059, -13.72549 , -9.803922, -5.882353,\n",
" -1.960784, 1.960784, 5.882353, 9.803922, 13.72549 ,\n",
" 17.647059, 21.568627, 25.490196, 29.411765, 33.333333,\n",
" 37.254902, 41.176471, 45.098039, 49.019608, 52.941176,\n",
" 56.862745, 60.784314, 64.705882, 68.627451, 72.54902 ,\n",
" 76.470588, 80.392157, 84.313725, 88.235294, 92.156863,\n",
" 96.078431, 100. ])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>direction</span></div><div class='xr-var-dims'>(direction)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-d5d7c6c2-d1fd-4be4-af76-01b32d5c1c69' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5d7c6c2-d1fd-4be4-af76-01b32d5c1c69' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dcfe6072-ae7f-4909-a66d-95a49f3420e2' class='xr-var-data-in' type='checkbox'><label for='data-dcfe6072-ae7f-4909-a66d-95a49f3420e2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7915a5e7-eba3-44d7-8766-22271d929a56' class='xr-section-summary-in' type='checkbox' checked><label for='section-7915a5e7-eba3-44d7-8766-22271d929a56' class='xr-section-summary' >Data variables: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>Ex</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0</div><input id='attrs-88c0c428-65c3-4ecf-a776-76c6a5f627b6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-88c0c428-65c3-4ecf-a776-76c6a5f627b6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c4ce8076-449a-4940-b85a-89d82d23d1ab' class='xr-var-data-in' type='checkbox'><label for='data-c4ce8076-449a-4940-b85a-89d82d23d1ab' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Ey</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0</div><input id='attrs-530f0072-ca75-4656-b71d-270347959c66' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-530f0072-ca75-4656-b71d-270347959c66' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2ab1cb4a-8f43-4ef6-b3f2-e2a31a26ac73' class='xr-var-data-in' type='checkbox'><label for='data-2ab1cb4a-8f43-4ef6-b3f2-e2a31a26ac73' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Ez</span></div><div class='xr-var-dims'>(x, y, z)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0</div><input id='attrs-f61799f0-b3d3-47b2-8ed4-e3edfa51f758' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f61799f0-b3d3-47b2-8ed4-e3edfa51f758' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-164738b5-5411-4f31-81e4-02b29030dc90' class='xr-var-data-in' type='checkbox'><label for='data-164738b5-5411-4f31-81e4-02b29030dc90' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
"...\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]],\n",
"\n",
" [[0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" ...,\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.],\n",
" [0., 0., 0., ..., 0., 0., 0.]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-98a1fde4-3926-4f6e-9efd-6e70b542a262' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-98a1fde4-3926-4f6e-9efd-6e70b542a262' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: (direction: 3, x: 50, y: 51, z: 52)\n",
"Coordinates:\n",
" * x (x) float64 -1.0 -0.9592 -0.9184 -0.8776 ... 0.9184 0.9592 1.0\n",
" * y (y) float64 -10.0 -9.6 -9.2 -8.8 -8.4 ... 8.4 8.8 9.2 9.6 10.0\n",
" * z (z) float64 -100.0 -96.08 -92.16 -88.24 ... 92.16 96.08 100.0\n",
" * direction (direction) int64 0 1 2\n",
"Data variables:\n",
" Ex (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0\n",
" Ey (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0\n",
" Ez (x, y, z) float64 0.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 0.0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid2 = xarray.Dataset(dict(Ex=Ex, Ey=Ey, Ez=Ez), coords=grid.coords)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"ename": "TypeError",
"evalue": "variable 'E' has invalid type <class 'dict'>",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-11-ff8e16e73471>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mgrid\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'E'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mEx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mEy\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mEz\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/dataset.py\u001b[0m in \u001b[0;36m__setitem__\u001b[0;34m(self, key, value)\u001b[0m\n\u001b[1;32m 1290\u001b[0m )\n\u001b[1;32m 1291\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1292\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1293\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1294\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__delitem__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mHashable\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/dataset.py\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self, other, inplace)\u001b[0m\n\u001b[1;32m 3636\u001b[0m \"\"\"\n\u001b[1;32m 3637\u001b[0m \u001b[0m_check_inplace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minplace\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3638\u001b[0;31m \u001b[0mmerge_result\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdataset_update_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3639\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_replace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minplace\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mmerge_result\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_asdict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3640\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/merge.py\u001b[0m in \u001b[0;36mdataset_update_method\u001b[0;34m(dataset, other)\u001b[0m\n\u001b[1;32m 931\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdrop_vars\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord_names\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 932\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 933\u001b[0;31m return merge_core(\n\u001b[0m\u001b[1;32m 934\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 935\u001b[0m \u001b[0mpriority_arg\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/merge.py\u001b[0m in \u001b[0;36mmerge_core\u001b[0;34m(objects, compat, join, combine_attrs, priority_arg, explicit_coords, indexes, fill_value)\u001b[0m\n\u001b[1;32m 592\u001b[0m \u001b[0mcoerced\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjoin\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcopy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mindexes\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mindexes\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfill_value\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mfill_value\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 593\u001b[0m )\n\u001b[0;32m--> 594\u001b[0;31m \u001b[0mcollected\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcollect_variables_and_indexes\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maligned\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 595\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 596\u001b[0m \u001b[0mprioritized\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_get_priority_vars_and_indexes\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maligned\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpriority_arg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcompat\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcompat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/merge.py\u001b[0m in \u001b[0;36mcollect_variables_and_indexes\u001b[0;34m(list_of_mappings)\u001b[0m\n\u001b[1;32m 276\u001b[0m \u001b[0mappend_all\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoords\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mindexes\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 277\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 278\u001b[0;31m \u001b[0mvariable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mas_variable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvariable\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 279\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mvariable\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdims\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 280\u001b[0m \u001b[0mvariable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvariable\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_index_variable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.8/site-packages/xarray/core/variable.py\u001b[0m in \u001b[0;36mas_variable\u001b[0;34m(obj, name)\u001b[0m\n\u001b[1;32m 133\u001b[0m \u001b[0mobj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mVariable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 134\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 135\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"variable {!r} has invalid type {!r}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 136\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 137\u001b[0m \u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mas_compatible_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mTypeError\u001b[0m: variable 'E' has invalid type <class 'dict'>"
]
}
],
"source": [
"grid['E'] = {0: Ex, 1: Ey, 2: Ez}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not yet sure how to do this..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Units"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"grid_units = xarray.Dataset(coords=dict(x=x * u.m, y = y))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This drops units, but:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"grid_units.x.attrs['units'] = u.m\n",
"grid_units"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"They're now available through `attrs`"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.6"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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